TSTP Solution File: ALG163+1 by Princess---230619
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%------------------------------------------------------------------------------
% File : Princess---230619
% Problem : ALG163+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 : n031.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 16:39:18 EDT 2023
% Result : Unsatisfiable 33.00s 5.25s
% Output : Proof 206.49s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : ALG163+1 : TPTP v8.1.2. Released v2.7.0.
% 0.00/0.13 % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s
% 0.13/0.34 % Computer : n031.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Mon Aug 28 05:38:40 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.20/0.60 ________ _____
% 0.20/0.60 ___ __ \_________(_)________________________________
% 0.20/0.60 __ /_/ /_ ___/_ /__ __ \ ___/ _ \_ ___/_ ___/
% 0.20/0.60 _ ____/_ / _ / _ / / / /__ / __/(__ )_(__ )
% 0.20/0.60 /_/ /_/ /_/ /_/ /_/\___/ \___//____/ /____/
% 0.20/0.60
% 0.20/0.60 A Theorem Prover for First-Order Logic modulo Linear Integer Arithmetic
% 0.20/0.60 (2023-06-19)
% 0.20/0.60
% 0.20/0.60 (c) Philipp Rümmer, 2009-2023
% 0.20/0.60 Contributors: Peter Backeman, Peter Baumgartner, Angelo Brillout, Zafer Esen,
% 0.20/0.60 Amanda Stjerna.
% 0.20/0.60 Free software under BSD-3-Clause.
% 0.20/0.60
% 0.20/0.60 For more information, visit http://www.philipp.ruemmer.org/princess.shtml
% 0.20/0.60
% 0.20/0.60 Loading /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 0.20/0.61 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 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 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 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
% 4.30/1.46 Prover 4: Preprocessing ...
% 4.30/1.47 Prover 1: Preprocessing ...
% 4.92/1.51 Prover 6: Preprocessing ...
% 4.92/1.51 Prover 0: Preprocessing ...
% 4.92/1.51 Prover 3: Preprocessing ...
% 4.92/1.51 Prover 2: Preprocessing ...
% 4.92/1.51 Prover 5: Preprocessing ...
% 7.98/1.91 Prover 2: Constructing countermodel ...
% 7.98/1.91 Prover 3: Constructing countermodel ...
% 8.88/1.98 Prover 1: Constructing countermodel ...
% 8.88/2.00 Prover 6: Constructing countermodel ...
% 8.88/2.00 Prover 0: Constructing countermodel ...
% 8.88/2.02 Prover 4: Constructing countermodel ...
% 10.59/2.24 Prover 5: Constructing countermodel ...
% 33.00/5.25 Prover 3: proved (4622ms)
% 33.00/5.25
% 33.00/5.25 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 33.00/5.25
% 33.00/5.25 Prover 0: stopped
% 33.00/5.26 Prover 2: stopped
% 33.00/5.27 Prover 5: stopped
% 33.00/5.27 Prover 6: stopped
% 33.00/5.29 Prover 7: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-236303470
% 33.00/5.29 Prover 8: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-200781089
% 33.00/5.29 Prover 10: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=919308125
% 33.00/5.29 Prover 11: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1509710984
% 33.00/5.29 Prover 13: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=1138197443
% 35.25/5.57 Prover 13: Preprocessing ...
% 35.25/5.57 Prover 10: Preprocessing ...
% 35.50/5.58 Prover 7: Preprocessing ...
% 35.50/5.60 Prover 8: Preprocessing ...
% 35.50/5.62 Prover 11: Preprocessing ...
% 36.56/5.74 Prover 8: Constructing countermodel ...
% 36.86/5.81 Prover 13: Constructing countermodel ...
% 36.86/5.82 Prover 11: Constructing countermodel ...
% 36.86/5.82 Prover 10: Constructing countermodel ...
% 37.47/5.85 Prover 7: Constructing countermodel ...
% 71.75/10.28 Prover 13: stopped
% 71.75/10.28 Prover 16: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=completeFrugal -randomSeed=-2043353683
% 72.40/10.41 Prover 16: Preprocessing ...
% 73.27/10.61 Prover 16: Constructing countermodel ...
% 114.14/15.79 Prover 16: stopped
% 114.14/15.79 Prover 19: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=-1780594085
% 115.04/15.93 Prover 19: Preprocessing ...
% 115.04/15.96 Prover 1: stopped
% 116.18/16.06 Prover 19: Constructing countermodel ...
% 140.88/19.53 Prover 19: stopped
% 184.18/27.73 Prover 7: stopped
% 185.32/27.95 Prover 4: stopped
% 186.68/28.32 Prover 11: Found proof (size 647033)
% 186.68/28.32 Prover 11: proved (23034ms)
% 186.68/28.32 Prover 8: stopped
% 186.68/28.32 Prover 10: stopped
% 186.68/28.32
% 186.68/28.32 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 186.68/28.32
% 189.16/29.31 % SZS output start Proof for theBenchmark
% 189.74/29.57 Assumptions after simplification:
% 189.74/29.57 ---------------------------------
% 189.74/29.57
% 189.74/29.57 (ax1)
% 189.87/29.62 $i(e3) & $i(e2) & $i(e1) & $i(e0) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 189.87/29.62 ? [v3: $i] : ? [v4: $i] : ? [v5: $i] : ? [v6: $i] : ? [v7: $i] : ? [v8:
% 189.87/29.62 $i] : ? [v9: $i] : ? [v10: $i] : ? [v11: $i] : ? [v12: $i] : ? [v13:
% 189.87/29.62 $i] : ? [v14: $i] : ? [v15: $i] : (op(e3, e3) = v15 & op(e3, e2) = v14 &
% 189.87/29.62 op(e3, e1) = v13 & op(e3, e0) = v12 & op(e2, e3) = v11 & op(e2, e2) = v10 &
% 189.87/29.62 op(e2, e1) = v9 & op(e2, e0) = v8 & op(e1, e3) = v7 & op(e1, e2) = v6 &
% 189.87/29.62 op(e1, e1) = v5 & op(e1, e0) = v4 & op(e0, e3) = v3 & op(e0, e2) = v2 &
% 189.87/29.62 op(e0, e1) = v1 & op(e0, e0) = v0 & $i(v15) & $i(v14) & $i(v13) & $i(v12) &
% 189.87/29.62 $i(v11) & $i(v10) & $i(v9) & $i(v8) & $i(v7) & $i(v6) & $i(v5) & $i(v4) &
% 189.87/29.62 $i(v3) & $i(v2) & $i(v1) & $i(v0) & (v15 = e3 | v15 = e2 | v15 = e1 | v15 =
% 189.87/29.62 e0) & (v14 = e3 | v14 = e2 | v14 = e1 | v14 = e0) & (v13 = e3 | v13 = e2 |
% 189.87/29.62 v13 = e1 | v13 = e0) & (v12 = e3 | v12 = e2 | v12 = e1 | v12 = e0) & (v11
% 189.87/29.62 = e3 | v11 = e2 | v11 = e1 | v11 = e0) & (v10 = e3 | v10 = e2 | v10 = e1 |
% 189.87/29.62 v10 = e0) & (v9 = e3 | v9 = e2 | v9 = e1 | v9 = e0) & (v8 = e3 | v8 = e2 |
% 189.87/29.62 v8 = e1 | v8 = e0) & (v7 = e3 | v7 = e2 | v7 = e1 | v7 = e0) & (v6 = e3 |
% 189.87/29.62 v6 = e2 | v6 = e1 | v6 = e0) & (v5 = e3 | v5 = e2 | v5 = e1 | v5 = e0) &
% 189.87/29.62 (v4 = e3 | v4 = e2 | v4 = e1 | v4 = e0) & (v3 = e3 | v3 = e2 | v3 = e1 | v3
% 189.87/29.62 = e0) & (v2 = e3 | v2 = e2 | v2 = e1 | v2 = e0) & (v1 = e3 | v1 = e2 | v1
% 189.87/29.62 = e1 | v1 = e0) & (v0 = e3 | v0 = e2 | v0 = e1 | v0 = e0))
% 189.87/29.62
% 189.87/29.62 (ax10)
% 189.87/29.62 $i(e3) & $i(e2) & $i(e1) & $i(e0) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 189.87/29.62 (op(e0, e0) = v0 & $i(v0) & ( ~ (v0 = e2) | (op(e2, e0) = v1 & $i(v1) & ( ~
% 189.87/29.62 (v1 = e1) | ( ~ (v2 = e3) & op(e1, e2) = v2 & $i(v2))))))
% 189.87/29.62
% 189.87/29.62 (ax11)
% 189.87/29.62 $i(e3) & $i(e2) & $i(e1) & $i(e0) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 189.87/29.62 (op(e0, e0) = v0 & $i(v0) & ( ~ (v0 = e1) | (op(e1, e0) = v1 & $i(v1) & ( ~
% 189.87/29.63 (v1 = e2) | ( ~ (v2 = e3) & op(e2, e1) = v2 & $i(v2))))))
% 189.87/29.63
% 189.87/29.63 (ax12)
% 189.87/29.63 $i(e3) & $i(e2) & $i(e1) & $i(e0) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 189.87/29.63 (op(e1, e1) = v0 & $i(v0) & ( ~ (v0 = e3) | (op(e3, e1) = v1 & $i(v1) & ( ~
% 189.87/29.63 (v1 = e2) | ( ~ (v2 = e0) & op(e2, e3) = v2 & $i(v2))))))
% 189.87/29.63
% 189.87/29.63 (ax13)
% 189.87/29.63 $i(e3) & $i(e2) & $i(e1) & $i(e0) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 189.87/29.63 (op(e1, e1) = v0 & $i(v0) & ( ~ (v0 = e2) | (op(e2, e1) = v1 & $i(v1) & ( ~
% 189.87/29.63 (v1 = e3) | ( ~ (v2 = e0) & op(e3, e2) = v2 & $i(v2))))))
% 189.87/29.63
% 189.87/29.63 (ax14)
% 189.87/29.63 $i(e3) & $i(e2) & $i(e1) & $i(e0) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 189.87/29.63 (op(e1, e1) = v0 & $i(v0) & ( ~ (v0 = e3) | (op(e3, e1) = v1 & $i(v1) & ( ~
% 189.87/29.63 (v1 = e0) | ( ~ (v2 = e2) & op(e0, e3) = v2 & $i(v2))))))
% 189.87/29.63
% 189.87/29.63 (ax15)
% 189.87/29.63 $i(e3) & $i(e2) & $i(e1) & $i(e0) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 189.87/29.63 (op(e1, e1) = v0 & $i(v0) & ( ~ (v0 = e0) | (op(e0, e1) = v1 & $i(v1) & ( ~
% 189.87/29.63 (v1 = e3) | ( ~ (v2 = e2) & op(e3, e0) = v2 & $i(v2))))))
% 189.87/29.63
% 189.87/29.63 (ax16)
% 189.87/29.64 $i(e3) & $i(e2) & $i(e1) & $i(e0) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 189.87/29.64 (op(e1, e1) = v0 & $i(v0) & ( ~ (v0 = e2) | (op(e2, e1) = v1 & $i(v1) & ( ~
% 189.87/29.64 (v1 = e0) | ( ~ (v2 = e3) & op(e0, e2) = v2 & $i(v2))))))
% 189.87/29.64
% 189.87/29.64 (ax17)
% 189.87/29.64 $i(e3) & $i(e2) & $i(e1) & $i(e0) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 189.87/29.64 (op(e1, e1) = v0 & $i(v0) & ( ~ (v0 = e0) | (op(e0, e1) = v1 & $i(v1) & ( ~
% 189.87/29.64 (v1 = e2) | ( ~ (v2 = e3) & op(e2, e0) = v2 & $i(v2))))))
% 189.87/29.64
% 189.87/29.64 (ax18)
% 190.05/29.64 $i(e3) & $i(e2) & $i(e1) & $i(e0) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 190.05/29.64 (op(e2, e2) = v0 & $i(v0) & ( ~ (v0 = e3) | (op(e3, e2) = v1 & $i(v1) & ( ~
% 190.05/29.64 (v1 = e1) | ( ~ (v2 = e0) & op(e1, e3) = v2 & $i(v2))))))
% 190.05/29.64
% 190.05/29.64 (ax19)
% 190.05/29.64 $i(e3) & $i(e2) & $i(e1) & $i(e0) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 190.05/29.64 (op(e2, e2) = v0 & $i(v0) & ( ~ (v0 = e1) | (op(e1, e2) = v1 & $i(v1) & ( ~
% 190.05/29.64 (v1 = e3) | ( ~ (v2 = e0) & op(e3, e1) = v2 & $i(v2))))))
% 190.05/29.64
% 190.05/29.64 (ax2)
% 190.05/29.66 $i(e3) & $i(e2) & $i(e1) & $i(e0) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 190.05/29.66 ? [v3: $i] : ? [v4: $i] : ? [v5: $i] : ? [v6: $i] : ? [v7: $i] : ? [v8:
% 190.05/29.66 $i] : ? [v9: $i] : ? [v10: $i] : ? [v11: $i] : ? [v12: $i] : ? [v13:
% 190.05/29.67 $i] : ? [v14: $i] : ? [v15: $i] : (((v15 = e3 & op(e3, e3) = e3) | (v14 =
% 190.05/29.67 e3 & op(e3, e2) = e3) | (v11 = e3 & op(e3, e1) = e3) | (v6 = e3 & op(e3,
% 190.05/29.67 e0) = e3)) & ((v15 = e3 & op(e3, e3) = e3) | (v13 = e3 & op(e2, e3) =
% 190.05/29.67 e3) | (v9 = e3 & op(e1, e3) = e3) | (v3 = e3 & op(e0, e3) = e3)) & ((v15
% 190.05/29.67 = e2 & op(e3, e3) = e2) | (v14 = e2 & op(e3, e2) = e2) | (v11 = e2 &
% 190.05/29.67 op(e3, e1) = e2) | (v6 = e2 & op(e3, e0) = e2)) & ((v15 = e2 & op(e3,
% 190.05/29.67 e3) = e2) | (v13 = e2 & op(e2, e3) = e2) | (v9 = e2 & op(e1, e3) = e2)
% 190.05/29.67 | (v3 = e2 & op(e0, e3) = e2)) & ((v15 = e1 & op(e3, e3) = e1) | (v14 = e1
% 190.05/29.67 & op(e3, e2) = e1) | (v11 = e1 & op(e3, e1) = e1) | (v6 = e1 & op(e3,
% 190.05/29.67 e0) = e1)) & ((v15 = e1 & op(e3, e3) = e1) | (v13 = e1 & op(e2, e3) =
% 190.05/29.67 e1) | (v9 = e1 & op(e1, e3) = e1) | (v3 = e1 & op(e0, e3) = e1)) & ((v15
% 190.05/29.67 = e0 & op(e3, e3) = e0) | (v14 = e0 & op(e3, e2) = e0) | (v11 = e0 &
% 190.05/29.67 op(e3, e1) = e0) | (v6 = e0 & op(e3, e0) = e0)) & ((v15 = e0 & op(e3,
% 190.05/29.67 e3) = e0) | (v13 = e0 & op(e2, e3) = e0) | (v9 = e0 & op(e1, e3) = e0)
% 190.05/29.67 | (v3 = e0 & op(e0, e3) = e0)) & ((v14 = e3 & op(e3, e2) = e3) | (v12 = e3
% 190.05/29.67 & op(e2, e2) = e3) | (v8 = e3 & op(e1, e2) = e3) | (v2 = e3 & op(e0, e2)
% 190.05/29.67 = e3)) & ((v14 = e2 & op(e3, e2) = e2) | (v12 = e2 & op(e2, e2) = e2) |
% 190.05/29.67 (v8 = e2 & op(e1, e2) = e2) | (v2 = e2 & op(e0, e2) = e2)) & ((v14 = e1 &
% 190.05/29.67 op(e3, e2) = e1) | (v12 = e1 & op(e2, e2) = e1) | (v8 = e1 & op(e1, e2)
% 190.05/29.67 = e1) | (v2 = e1 & op(e0, e2) = e1)) & ((v14 = e0 & op(e3, e2) = e0) |
% 190.05/29.67 (v12 = e0 & op(e2, e2) = e0) | (v8 = e0 & op(e1, e2) = e0) | (v2 = e0 &
% 190.05/29.67 op(e0, e2) = e0)) & ((v13 = e3 & op(e2, e3) = e3) | (v12 = e3 & op(e2,
% 190.05/29.67 e2) = e3) | (v10 = e3 & op(e2, e1) = e3) | (v5 = e3 & op(e2, e0) =
% 190.05/29.67 e3)) & ((v13 = e2 & op(e2, e3) = e2) | (v12 = e2 & op(e2, e2) = e2) |
% 190.05/29.67 (v10 = e2 & op(e2, e1) = e2) | (v5 = e2 & op(e2, e0) = e2)) & ((v13 = e1 &
% 190.05/29.67 op(e2, e3) = e1) | (v12 = e1 & op(e2, e2) = e1) | (v10 = e1 & op(e2, e1)
% 190.05/29.67 = e1) | (v5 = e1 & op(e2, e0) = e1)) & ((v13 = e0 & op(e2, e3) = e0) |
% 190.05/29.67 (v12 = e0 & op(e2, e2) = e0) | (v10 = e0 & op(e2, e1) = e0) | (v5 = e0 &
% 190.05/29.67 op(e2, e0) = e0)) & ((v11 = e3 & op(e3, e1) = e3) | (v10 = e3 & op(e2,
% 190.05/29.67 e1) = e3) | (v7 = e3 & op(e1, e1) = e3) | (v1 = e3 & op(e0, e1) = e3))
% 190.05/29.67 & ((v11 = e2 & op(e3, e1) = e2) | (v10 = e2 & op(e2, e1) = e2) | (v7 = e2 &
% 190.05/29.67 op(e1, e1) = e2) | (v1 = e2 & op(e0, e1) = e2)) & ((v11 = e1 & op(e3,
% 190.05/29.67 e1) = e1) | (v10 = e1 & op(e2, e1) = e1) | (v7 = e1 & op(e1, e1) = e1)
% 190.05/29.67 | (v1 = e1 & op(e0, e1) = e1)) & ((v11 = e0 & op(e3, e1) = e0) | (v10 = e0
% 190.05/29.67 & op(e2, e1) = e0) | (v7 = e0 & op(e1, e1) = e0) | (v1 = e0 & op(e0, e1)
% 190.05/29.67 = e0)) & ((v9 = e3 & op(e1, e3) = e3) | (v8 = e3 & op(e1, e2) = e3) |
% 190.05/29.67 (v7 = e3 & op(e1, e1) = e3) | (v4 = e3 & op(e1, e0) = e3)) & ((v9 = e2 &
% 190.05/29.67 op(e1, e3) = e2) | (v8 = e2 & op(e1, e2) = e2) | (v7 = e2 & op(e1, e1) =
% 190.05/29.67 e2) | (v4 = e2 & op(e1, e0) = e2)) & ((v9 = e1 & op(e1, e3) = e1) | (v8
% 190.05/29.67 = e1 & op(e1, e2) = e1) | (v7 = e1 & op(e1, e1) = e1) | (v4 = e1 &
% 190.05/29.67 op(e1, e0) = e1)) & ((v9 = e0 & op(e1, e3) = e0) | (v8 = e0 & op(e1, e2)
% 190.05/29.67 = e0) | (v7 = e0 & op(e1, e1) = e0) | (v4 = e0 & op(e1, e0) = e0)) &
% 190.05/29.67 ((v6 = e3 & op(e3, e0) = e3) | (v5 = e3 & op(e2, e0) = e3) | (v4 = e3 &
% 190.05/29.67 op(e1, e0) = e3) | (v0 = e3 & op(e0, e0) = e3)) & ((v6 = e2 & op(e3, e0)
% 190.05/29.67 = e2) | (v5 = e2 & op(e2, e0) = e2) | (v4 = e2 & op(e1, e0) = e2) | (v0
% 190.05/29.67 = e2 & op(e0, e0) = e2)) & ((v6 = e1 & op(e3, e0) = e1) | (v5 = e1 &
% 190.05/29.67 op(e2, e0) = e1) | (v4 = e1 & op(e1, e0) = e1) | (v0 = e1 & op(e0, e0) =
% 190.05/29.67 e1)) & ((v3 = e3 & op(e0, e3) = e3) | (v2 = e3 & op(e0, e2) = e3) | (v1
% 190.05/29.67 = e3 & op(e0, e1) = e3) | (v0 = e3 & op(e0, e0) = e3)) & ((v3 = e2 &
% 190.05/29.67 op(e0, e3) = e2) | (v2 = e2 & op(e0, e2) = e2) | (v1 = e2 & op(e0, e1) =
% 190.05/29.67 e2) | (v0 = e2 & op(e0, e0) = e2)) & ((v3 = e1 & op(e0, e3) = e1) | (v2
% 190.05/29.67 = e1 & op(e0, e2) = e1) | (v1 = e1 & op(e0, e1) = e1) | (v0 = e1 &
% 190.05/29.67 op(e0, e0) = e1)) & ((v0 = e0 & op(e0, e0) = e0) | (((v6 = e0 & op(e3,
% 190.05/29.67 e0) = e0) | (v5 = e0 & op(e2, e0) = e0) | (v4 = e0 & op(e1, e0) =
% 190.05/29.67 e0)) & ((v3 = e0 & op(e0, e3) = e0) | (v2 = e0 & op(e0, e2) = e0) |
% 190.05/29.67 (v1 = e0 & op(e0, e1) = e0)))))
% 190.05/29.67
% 190.05/29.67 (ax20)
% 190.05/29.67 $i(e3) & $i(e2) & $i(e1) & $i(e0) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 190.05/29.67 (op(e2, e2) = v0 & $i(v0) & ( ~ (v0 = e3) | (op(e3, e2) = v1 & $i(v1) & ( ~
% 190.05/29.67 (v1 = e0) | ( ~ (v2 = e1) & op(e0, e3) = v2 & $i(v2))))))
% 190.05/29.67
% 190.05/29.67 (ax21)
% 190.05/29.67 $i(e3) & $i(e2) & $i(e1) & $i(e0) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 190.05/29.67 (op(e2, e2) = v0 & $i(v0) & ( ~ (v0 = e0) | (op(e0, e2) = v1 & $i(v1) & ( ~
% 190.05/29.67 (v1 = e3) | ( ~ (v2 = e1) & op(e3, e0) = v2 & $i(v2))))))
% 190.05/29.67
% 190.05/29.67 (ax22)
% 190.05/29.67 $i(e3) & $i(e2) & $i(e1) & $i(e0) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 190.05/29.67 (op(e2, e2) = v0 & $i(v0) & ( ~ (v0 = e1) | (op(e1, e2) = v1 & $i(v1) & ( ~
% 190.05/29.67 (v1 = e0) | ( ~ (v2 = e3) & op(e0, e1) = v2 & $i(v2))))))
% 190.05/29.67
% 190.05/29.67 (ax23)
% 190.05/29.67 $i(e3) & $i(e2) & $i(e1) & $i(e0) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 190.05/29.67 (op(e2, e2) = v0 & $i(v0) & ( ~ (v0 = e0) | (op(e0, e2) = v1 & $i(v1) & ( ~
% 190.05/29.67 (v1 = e1) | ( ~ (v2 = e3) & op(e1, e0) = v2 & $i(v2))))))
% 190.05/29.67
% 190.05/29.67 (ax24)
% 190.05/29.67 $i(e3) & $i(e2) & $i(e1) & $i(e0) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 190.05/29.67 (op(e3, e3) = v0 & $i(v0) & ( ~ (v0 = e2) | (op(e2, e3) = v1 & $i(v1) & ( ~
% 190.05/29.67 (v1 = e1) | ( ~ (v2 = e0) & op(e1, e2) = v2 & $i(v2))))))
% 190.05/29.67
% 190.05/29.67 (ax25)
% 190.05/29.67 $i(e3) & $i(e2) & $i(e1) & $i(e0) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 190.05/29.67 (op(e3, e3) = v0 & $i(v0) & ( ~ (v0 = e1) | (op(e1, e3) = v1 & $i(v1) & ( ~
% 190.05/29.67 (v1 = e2) | ( ~ (v2 = e0) & op(e2, e1) = v2 & $i(v2))))))
% 190.05/29.67
% 190.05/29.67 (ax26)
% 190.05/29.68 $i(e3) & $i(e2) & $i(e1) & $i(e0) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 190.05/29.68 (op(e3, e3) = v0 & $i(v0) & ( ~ (v0 = e2) | (op(e2, e3) = v1 & $i(v1) & ( ~
% 190.05/29.68 (v1 = e0) | ( ~ (v2 = e1) & op(e0, e2) = v2 & $i(v2))))))
% 190.05/29.68
% 190.05/29.68 (ax27)
% 190.05/29.68 $i(e3) & $i(e2) & $i(e1) & $i(e0) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 190.05/29.68 (op(e3, e3) = v0 & $i(v0) & ( ~ (v0 = e0) | (op(e0, e3) = v1 & $i(v1) & ( ~
% 190.05/29.68 (v1 = e2) | ( ~ (v2 = e1) & op(e2, e0) = v2 & $i(v2))))))
% 190.05/29.68
% 190.05/29.68 (ax28)
% 190.05/29.68 $i(e3) & $i(e2) & $i(e1) & $i(e0) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 190.05/29.68 (op(e3, e3) = v0 & $i(v0) & ( ~ (v0 = e1) | (op(e1, e3) = v1 & $i(v1) & ( ~
% 190.05/29.68 (v1 = e0) | ( ~ (v2 = e2) & op(e0, e1) = v2 & $i(v2))))))
% 190.05/29.68
% 190.05/29.68 (ax29)
% 190.05/29.68 $i(e3) & $i(e2) & $i(e1) & $i(e0) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 190.05/29.68 (op(e3, e3) = v0 & $i(v0) & ( ~ (v0 = e0) | (op(e0, e3) = v1 & $i(v1) & ( ~
% 190.05/29.68 (v1 = e1) | ( ~ (v2 = e2) & op(e1, e0) = v2 & $i(v2))))))
% 190.05/29.68
% 190.05/29.68 (ax3)
% 190.05/29.68 $i(e3) & $i(e2) & $i(e1) & $i(e0) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 190.05/29.68 ? [v3: $i] : ? [v4: $i] : ? [v5: $i] : ? [v6: $i] : ? [v7: $i] : ? [v8:
% 190.05/29.68 $i] : ? [v9: $i] : ? [v10: $i] : ? [v11: $i] : ? [v12: $i] : ? [v13:
% 190.05/29.68 $i] : ? [v14: $i] : ? [v15: $i] : ( ~ (v15 = v14) & ~ (v15 = v13) & ~
% 190.05/29.68 (v15 = v12) & ~ (v15 = v11) & ~ (v15 = v7) & ~ (v15 = v3) & ~ (v14 =
% 190.05/29.69 v13) & ~ (v14 = v12) & ~ (v14 = v10) & ~ (v14 = v6) & ~ (v14 = v2) &
% 190.05/29.69 ~ (v13 = v12) & ~ (v13 = v9) & ~ (v13 = v5) & ~ (v13 = v1) & ~ (v12 =
% 190.05/29.69 v8) & ~ (v12 = v4) & ~ (v12 = v0) & ~ (v11 = v10) & ~ (v11 = v9) & ~
% 190.05/29.69 (v11 = v8) & ~ (v11 = v7) & ~ (v11 = v3) & ~ (v10 = v9) & ~ (v10 = v8) &
% 190.05/29.69 ~ (v10 = v6) & ~ (v10 = v2) & ~ (v9 = v8) & ~ (v9 = v5) & ~ (v9 = v1) &
% 190.05/29.69 ~ (v8 = v4) & ~ (v8 = v0) & ~ (v7 = v6) & ~ (v7 = v5) & ~ (v7 = v4) &
% 190.05/29.69 ~ (v7 = v3) & ~ (v6 = v5) & ~ (v6 = v4) & ~ (v6 = v2) & ~ (v5 = v4) & ~
% 190.05/29.69 (v5 = v1) & ~ (v4 = v0) & ~ (v3 = v2) & ~ (v3 = v1) & ~ (v3 = v0) & ~
% 190.05/29.69 (v2 = v1) & ~ (v2 = v0) & ~ (v1 = v0) & op(e3, e3) = v15 & op(e3, e2) =
% 190.05/29.69 v11 & op(e3, e1) = v7 & op(e3, e0) = v3 & op(e2, e3) = v14 & op(e2, e2) =
% 190.05/29.69 v10 & op(e2, e1) = v6 & op(e2, e0) = v2 & op(e1, e3) = v13 & op(e1, e2) = v9
% 190.05/29.69 & op(e1, e1) = v5 & op(e1, e0) = v1 & op(e0, e3) = v12 & op(e0, e2) = v8 &
% 190.05/29.69 op(e0, e1) = v4 & op(e0, e0) = v0 & $i(v15) & $i(v14) & $i(v13) & $i(v12) &
% 190.05/29.69 $i(v11) & $i(v10) & $i(v9) & $i(v8) & $i(v7) & $i(v6) & $i(v5) & $i(v4) &
% 190.05/29.69 $i(v3) & $i(v2) & $i(v1) & $i(v0))
% 190.05/29.69
% 190.05/29.69 (ax4)
% 190.05/29.69 ~ (e3 = e2) & ~ (e3 = e1) & ~ (e3 = e0) & ~ (e2 = e1) & ~ (e2 = e0) & ~
% 190.05/29.69 (e1 = e0) & $i(e3) & $i(e2) & $i(e1) & $i(e0)
% 190.05/29.69
% 190.05/29.69 (ax5)
% 190.05/29.72 $i(e3) & $i(e2) & $i(e1) & $i(e0) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 190.05/29.72 ? [v3: $i] : ? [v4: $i] : ? [v5: $i] : ? [v6: $i] : ? [v7: $i] : ? [v8:
% 190.05/29.72 $i] : ? [v9: $i] : ? [v10: $i] : ? [v11: $i] : ? [v12: $i] : ? [v13:
% 190.05/29.72 $i] : ? [v14: $i] : ? [v15: $i] : ? [v16: $i] : ? [v17: $i] : ? [v18:
% 190.05/29.72 $i] : ? [v19: $i] : ? [v20: $i] : ? [v21: $i] : ? [v22: $i] : ? [v23:
% 190.05/29.72 $i] : ? [v24: $i] : ? [v25: $i] : ? [v26: $i] : ? [v27: $i] : ? [v28:
% 190.05/29.72 $i] : ? [v29: $i] : ? [v30: $i] : ? [v31: $i] : (((v30 = e2 & ~ (v28 =
% 190.05/29.72 e3) & ~ (v23 = e3) & ~ (v21 = e2) & ~ (v19 = e1) & ~ (v17 = e0) &
% 190.05/29.72 op(e3, e3) = e2 & op(e3, e2) = v28 & op(e2, v22) = v23 & op(e2, v20) =
% 190.05/29.72 v21 & op(e2, v18) = v19 & op(e2, v16) = v17 & op(e2, e3) = v22 & op(e2,
% 190.05/29.72 e2) = v20 & op(e2, e1) = v18 & op(e2, e0) = v16 & $i(v28) & $i(v23) &
% 190.05/29.72 $i(v22) & $i(v21) & $i(v20) & $i(v19) & $i(v18) & $i(v17) & $i(v16)) |
% 190.05/29.72 (v30 = e1 & ~ (v26 = e3) & ~ (v15 = e3) & ~ (v13 = e2) & ~ (v11 = e1)
% 190.05/29.72 & ~ (v9 = e0) & op(e3, e3) = e1 & op(e3, e1) = v26 & op(e1, v14) = v15
% 190.05/29.72 & op(e1, v12) = v13 & op(e1, v10) = v11 & op(e1, v8) = v9 & op(e1, e3) =
% 190.05/29.72 v14 & op(e1, e2) = v12 & op(e1, e1) = v10 & op(e1, e0) = v8 & $i(v26) &
% 190.05/29.72 $i(v15) & $i(v14) & $i(v13) & $i(v12) & $i(v11) & $i(v10) & $i(v9) &
% 190.05/29.72 $i(v8)) | (v30 = e0 & ~ (v24 = e3) & ~ (v7 = e3) & ~ (v5 = e2) & ~
% 190.05/29.72 (v3 = e1) & ~ (v1 = e0) & op(e3, e3) = e0 & op(e3, e0) = v24 & op(e0,
% 190.05/29.72 v6) = v7 & op(e0, v4) = v5 & op(e0, v2) = v3 & op(e0, v0) = v1 &
% 190.05/29.72 op(e0, e3) = v6 & op(e0, e2) = v4 & op(e0, e1) = v2 & op(e0, e0) = v0 &
% 190.05/29.72 $i(v24) & $i(v7) & $i(v6) & $i(v5) & $i(v4) & $i(v3) & $i(v2) & $i(v1) &
% 190.05/29.72 $i(v0)) | (v20 = e3 & ~ (v31 = e3) & ~ (v29 = e2) & ~ (v27 = e1) & ~
% 190.05/29.72 (v25 = e0) & ~ (v22 = e2) & op(e3, v30) = v31 & op(e3, v28) = v29 &
% 190.05/29.72 op(e3, v26) = v27 & op(e3, v24) = v25 & op(e3, e3) = v30 & op(e3, e2) =
% 190.05/29.72 v28 & op(e3, e1) = v26 & op(e3, e0) = v24 & op(e2, e3) = v22 & op(e2,
% 190.05/29.72 e2) = e3 & $i(v31) & $i(v30) & $i(v29) & $i(v28) & $i(v27) & $i(v26) &
% 190.05/29.72 $i(v25) & $i(v24) & $i(v22)) | (v20 = e1 & ~ (v18 = e2) & ~ (v15 = e3)
% 190.05/29.72 & ~ (v13 = e2) & ~ (v11 = e1) & ~ (v9 = e0) & op(e2, e2) = e1 &
% 190.05/29.72 op(e2, e1) = v18 & op(e1, v14) = v15 & op(e1, v12) = v13 & op(e1, v10) =
% 190.05/29.72 v11 & op(e1, v8) = v9 & op(e1, e3) = v14 & op(e1, e2) = v12 & op(e1, e1)
% 190.05/29.72 = v10 & op(e1, e0) = v8 & $i(v18) & $i(v15) & $i(v14) & $i(v13) &
% 190.05/29.72 $i(v12) & $i(v11) & $i(v10) & $i(v9) & $i(v8)) | (v20 = e0 & ~ (v16 =
% 190.05/29.72 e2) & ~ (v7 = e3) & ~ (v5 = e2) & ~ (v3 = e1) & ~ (v1 = e0) &
% 190.05/29.72 op(e2, e2) = e0 & op(e2, e0) = v16 & op(e0, v6) = v7 & op(e0, v4) = v5 &
% 190.05/29.72 op(e0, v2) = v3 & op(e0, v0) = v1 & op(e0, e3) = v6 & op(e0, e2) = v4 &
% 190.05/29.72 op(e0, e1) = v2 & op(e0, e0) = v0 & $i(v16) & $i(v7) & $i(v6) & $i(v5) &
% 190.05/29.72 $i(v4) & $i(v3) & $i(v2) & $i(v1) & $i(v0)) | (v10 = e3 & ~ (v31 = e3)
% 190.05/29.72 & ~ (v29 = e2) & ~ (v27 = e1) & ~ (v25 = e0) & ~ (v14 = e1) & op(e3,
% 190.05/29.72 v30) = v31 & op(e3, v28) = v29 & op(e3, v26) = v27 & op(e3, v24) = v25
% 190.05/29.72 & op(e3, e3) = v30 & op(e3, e2) = v28 & op(e3, e1) = v26 & op(e3, e0) =
% 190.05/29.72 v24 & op(e1, e3) = v14 & op(e1, e1) = e3 & $i(v31) & $i(v30) & $i(v29) &
% 190.05/29.72 $i(v28) & $i(v27) & $i(v26) & $i(v25) & $i(v24) & $i(v14)) | (v10 = e2 &
% 190.05/29.72 ~ (v23 = e3) & ~ (v21 = e2) & ~ (v19 = e1) & ~ (v17 = e0) & ~ (v12
% 190.05/29.72 = e1) & op(e2, v22) = v23 & op(e2, v20) = v21 & op(e2, v18) = v19 &
% 190.05/29.72 op(e2, v16) = v17 & op(e2, e3) = v22 & op(e2, e2) = v20 & op(e2, e1) =
% 190.05/29.72 v18 & op(e2, e0) = v16 & op(e1, e2) = v12 & op(e1, e1) = e2 & $i(v23) &
% 190.05/29.72 $i(v22) & $i(v21) & $i(v20) & $i(v19) & $i(v18) & $i(v17) & $i(v16) &
% 190.05/29.72 $i(v12)) | (op(e0, e0) = v0 & $i(v0) & ((v10 = e0 & ~ (v8 = e1) & ~
% 190.05/29.72 (v7 = e3) & ~ (v5 = e2) & ~ (v3 = e1) & ~ (v1 = e0) & op(e1, e1)
% 190.05/29.72 = e0 & op(e1, e0) = v8 & op(e0, v6) = v7 & op(e0, v4) = v5 & op(e0,
% 190.05/29.72 v2) = v3 & op(e0, v0) = v1 & op(e0, e3) = v6 & op(e0, e2) = v4 &
% 190.05/29.72 op(e0, e1) = v2 & $i(v8) & $i(v7) & $i(v6) & $i(v5) & $i(v4) &
% 190.05/29.72 $i(v3) & $i(v2) & $i(v1)) | (v0 = e3 & ~ (v31 = e3) & ~ (v29 = e2)
% 190.05/29.72 & ~ (v27 = e1) & ~ (v25 = e0) & ~ (v6 = e0) & op(e3, v30) = v31 &
% 190.05/29.72 op(e3, v28) = v29 & op(e3, v26) = v27 & op(e3, v24) = v25 & op(e3,
% 190.05/29.72 e3) = v30 & op(e3, e2) = v28 & op(e3, e1) = v26 & op(e3, e0) = v24
% 190.05/29.72 & op(e0, e3) = v6 & $i(v31) & $i(v30) & $i(v29) & $i(v28) & $i(v27)
% 190.05/29.72 & $i(v26) & $i(v25) & $i(v24) & $i(v6)) | (v0 = e2 & ~ (v23 = e3) &
% 190.05/29.72 ~ (v21 = e2) & ~ (v19 = e1) & ~ (v17 = e0) & ~ (v4 = e0) &
% 190.05/29.72 op(e2, v22) = v23 & op(e2, v20) = v21 & op(e2, v18) = v19 & op(e2,
% 190.05/29.73 v16) = v17 & op(e2, e3) = v22 & op(e2, e2) = v20 & op(e2, e1) =
% 190.05/29.73 v18 & op(e2, e0) = v16 & op(e0, e2) = v4 & $i(v23) & $i(v22) &
% 190.05/29.73 $i(v21) & $i(v20) & $i(v19) & $i(v18) & $i(v17) & $i(v16) & $i(v4))
% 190.05/29.73 | (v0 = e1 & ~ (v15 = e3) & ~ (v13 = e2) & ~ (v11 = e1) & ~ (v9 =
% 190.05/29.73 e0) & ~ (v2 = e0) & op(e1, v14) = v15 & op(e1, v12) = v13 &
% 190.05/29.73 op(e1, v10) = v11 & op(e1, v8) = v9 & op(e1, e3) = v14 & op(e1, e2)
% 190.05/29.73 = v12 & op(e1, e1) = v10 & op(e1, e0) = v8 & op(e0, e1) = v2 &
% 190.05/29.73 $i(v15) & $i(v14) & $i(v13) & $i(v12) & $i(v11) & $i(v10) & $i(v9) &
% 190.05/29.73 $i(v8) & $i(v2))))) & ((v28 = e3 & ~ (v30 = e2) & ~ (v23 = e3) &
% 190.05/29.73 ~ (v21 = e2) & ~ (v19 = e1) & ~ (v17 = e0) & op(e3, e3) = v30 & op(e3,
% 190.05/29.73 e2) = e3 & op(e2, v22) = v23 & op(e2, v20) = v21 & op(e2, v18) = v19 &
% 190.05/29.73 op(e2, v16) = v17 & op(e2, e3) = v22 & op(e2, e2) = v20 & op(e2, e1) =
% 190.05/29.73 v18 & op(e2, e0) = v16 & $i(v30) & $i(v23) & $i(v22) & $i(v21) & $i(v20)
% 190.05/29.73 & $i(v19) & $i(v18) & $i(v17) & $i(v16)) | (v26 = e3 & ~ (v30 = e1) &
% 190.05/29.73 ~ (v15 = e3) & ~ (v13 = e2) & ~ (v11 = e1) & ~ (v9 = e0) & op(e3, e3)
% 190.05/29.73 = v30 & op(e3, e1) = e3 & op(e1, v14) = v15 & op(e1, v12) = v13 & op(e1,
% 190.05/29.73 v10) = v11 & op(e1, v8) = v9 & op(e1, e3) = v14 & op(e1, e2) = v12 &
% 190.05/29.73 op(e1, e1) = v10 & op(e1, e0) = v8 & $i(v30) & $i(v15) & $i(v14) &
% 190.05/29.73 $i(v13) & $i(v12) & $i(v11) & $i(v10) & $i(v9) & $i(v8)) | (v24 = e3 &
% 190.05/29.73 ~ (v30 = e0) & ~ (v7 = e3) & ~ (v5 = e2) & ~ (v3 = e1) & ~ (v1 = e0)
% 190.05/29.73 & op(e3, e3) = v30 & op(e3, e0) = e3 & op(e0, v6) = v7 & op(e0, v4) = v5
% 190.05/29.73 & op(e0, v2) = v3 & op(e0, v0) = v1 & op(e0, e3) = v6 & op(e0, e2) = v4
% 190.05/29.73 & op(e0, e1) = v2 & op(e0, e0) = v0 & $i(v30) & $i(v7) & $i(v6) & $i(v5)
% 190.05/29.73 & $i(v4) & $i(v3) & $i(v2) & $i(v1) & $i(v0)) | (v22 = e2 & ~ (v31 =
% 190.05/29.73 e3) & ~ (v29 = e2) & ~ (v27 = e1) & ~ (v25 = e0) & ~ (v20 = e3) &
% 190.05/29.73 op(e3, v30) = v31 & op(e3, v28) = v29 & op(e3, v26) = v27 & op(e3, v24)
% 190.05/29.73 = v25 & op(e3, e3) = v30 & op(e3, e2) = v28 & op(e3, e1) = v26 & op(e3,
% 190.05/29.73 e0) = v24 & op(e2, e3) = e2 & op(e2, e2) = v20 & $i(v31) & $i(v30) &
% 190.05/29.73 $i(v29) & $i(v28) & $i(v27) & $i(v26) & $i(v25) & $i(v24) & $i(v20)) |
% 190.05/29.73 (v18 = e2 & ~ (v20 = e1) & ~ (v15 = e3) & ~ (v13 = e2) & ~ (v11 = e1)
% 190.05/29.73 & ~ (v9 = e0) & op(e2, e2) = v20 & op(e2, e1) = e2 & op(e1, v14) = v15
% 190.05/29.73 & op(e1, v12) = v13 & op(e1, v10) = v11 & op(e1, v8) = v9 & op(e1, e3) =
% 190.05/29.73 v14 & op(e1, e2) = v12 & op(e1, e1) = v10 & op(e1, e0) = v8 & $i(v20) &
% 190.05/29.73 $i(v15) & $i(v14) & $i(v13) & $i(v12) & $i(v11) & $i(v10) & $i(v9) &
% 190.05/29.73 $i(v8)) | (v16 = e2 & ~ (v20 = e0) & ~ (v7 = e3) & ~ (v5 = e2) & ~
% 190.05/29.73 (v3 = e1) & ~ (v1 = e0) & op(e2, e2) = v20 & op(e2, e0) = e2 & op(e0,
% 190.05/29.73 v6) = v7 & op(e0, v4) = v5 & op(e0, v2) = v3 & op(e0, v0) = v1 &
% 190.05/29.73 op(e0, e3) = v6 & op(e0, e2) = v4 & op(e0, e1) = v2 & op(e0, e0) = v0 &
% 190.05/29.73 $i(v20) & $i(v7) & $i(v6) & $i(v5) & $i(v4) & $i(v3) & $i(v2) & $i(v1) &
% 190.05/29.73 $i(v0)) | (v14 = e1 & ~ (v31 = e3) & ~ (v29 = e2) & ~ (v27 = e1) & ~
% 190.05/29.73 (v25 = e0) & ~ (v10 = e3) & op(e3, v30) = v31 & op(e3, v28) = v29 &
% 190.05/29.73 op(e3, v26) = v27 & op(e3, v24) = v25 & op(e3, e3) = v30 & op(e3, e2) =
% 190.05/29.73 v28 & op(e3, e1) = v26 & op(e3, e0) = v24 & op(e1, e3) = e1 & op(e1, e1)
% 190.05/29.73 = v10 & $i(v31) & $i(v30) & $i(v29) & $i(v28) & $i(v27) & $i(v26) &
% 190.05/29.73 $i(v25) & $i(v24) & $i(v10)) | (v12 = e1 & ~ (v23 = e3) & ~ (v21 = e2)
% 190.05/29.73 & ~ (v19 = e1) & ~ (v17 = e0) & ~ (v10 = e2) & op(e2, v22) = v23 &
% 190.05/29.73 op(e2, v20) = v21 & op(e2, v18) = v19 & op(e2, v16) = v17 & op(e2, e3) =
% 190.05/29.73 v22 & op(e2, e2) = v20 & op(e2, e1) = v18 & op(e2, e0) = v16 & op(e1,
% 190.05/29.73 e2) = e1 & op(e1, e1) = v10 & $i(v23) & $i(v22) & $i(v21) & $i(v20) &
% 190.05/29.73 $i(v19) & $i(v18) & $i(v17) & $i(v16) & $i(v10)) | (op(e0, e0) = v0 &
% 190.05/29.73 $i(v0) & ((v8 = e1 & ~ (v10 = e0) & ~ (v7 = e3) & ~ (v5 = e2) & ~
% 190.05/29.73 (v3 = e1) & ~ (v1 = e0) & op(e1, e1) = v10 & op(e1, e0) = e1 &
% 190.05/29.73 op(e0, v6) = v7 & op(e0, v4) = v5 & op(e0, v2) = v3 & op(e0, v0) =
% 190.05/29.73 v1 & op(e0, e3) = v6 & op(e0, e2) = v4 & op(e0, e1) = v2 & $i(v10) &
% 190.05/29.73 $i(v7) & $i(v6) & $i(v5) & $i(v4) & $i(v3) & $i(v2) & $i(v1)) | (v6
% 190.05/29.73 = e0 & ~ (v31 = e3) & ~ (v29 = e2) & ~ (v27 = e1) & ~ (v25 = e0)
% 190.05/29.73 & ~ (v0 = e3) & op(e3, v30) = v31 & op(e3, v28) = v29 & op(e3, v26)
% 190.05/29.73 = v27 & op(e3, v24) = v25 & op(e3, e3) = v30 & op(e3, e2) = v28 &
% 190.05/29.73 op(e3, e1) = v26 & op(e3, e0) = v24 & op(e0, e3) = e0 & $i(v31) &
% 190.05/29.73 $i(v30) & $i(v29) & $i(v28) & $i(v27) & $i(v26) & $i(v25) & $i(v24))
% 190.05/29.73 | (v4 = e0 & ~ (v23 = e3) & ~ (v21 = e2) & ~ (v19 = e1) & ~ (v17 =
% 190.05/29.73 e0) & ~ (v0 = e2) & op(e2, v22) = v23 & op(e2, v20) = v21 &
% 190.05/29.73 op(e2, v18) = v19 & op(e2, v16) = v17 & op(e2, e3) = v22 & op(e2,
% 190.05/29.73 e2) = v20 & op(e2, e1) = v18 & op(e2, e0) = v16 & op(e0, e2) = e0
% 190.05/29.73 & $i(v23) & $i(v22) & $i(v21) & $i(v20) & $i(v19) & $i(v18) &
% 190.05/29.73 $i(v17) & $i(v16)) | (v2 = e0 & ~ (v15 = e3) & ~ (v13 = e2) & ~
% 190.05/29.73 (v11 = e1) & ~ (v9 = e0) & ~ (v0 = e1) & op(e1, v14) = v15 &
% 190.05/29.73 op(e1, v12) = v13 & op(e1, v10) = v11 & op(e1, v8) = v9 & op(e1, e3)
% 190.05/29.73 = v14 & op(e1, e2) = v12 & op(e1, e1) = v10 & op(e1, e0) = v8 &
% 190.05/29.73 op(e0, e1) = e0 & $i(v15) & $i(v14) & $i(v13) & $i(v12) & $i(v11) &
% 190.05/29.73 $i(v10) & $i(v9) & $i(v8))))))
% 190.05/29.73
% 190.05/29.73 (ax6)
% 190.05/29.73 $i(e3) & $i(e2) & $i(e1) & $i(e0) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 190.05/29.73 (op(e0, e0) = v0 & $i(v0) & ( ~ (v0 = e3) | (op(e3, e0) = v1 & $i(v1) & ( ~
% 190.05/29.73 (v1 = e2) | ( ~ (v2 = e1) & op(e2, e3) = v2 & $i(v2))))))
% 190.05/29.73
% 190.05/29.73 (ax7)
% 190.05/29.73 $i(e3) & $i(e2) & $i(e1) & $i(e0) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 190.05/29.73 (op(e0, e0) = v0 & $i(v0) & ( ~ (v0 = e2) | (op(e2, e0) = v1 & $i(v1) & ( ~
% 190.05/29.73 (v1 = e3) | ( ~ (v2 = e1) & op(e3, e2) = v2 & $i(v2))))))
% 190.05/29.73
% 190.05/29.73 (ax8)
% 190.05/29.73 $i(e3) & $i(e2) & $i(e1) & $i(e0) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 190.05/29.73 (op(e0, e0) = v0 & $i(v0) & ( ~ (v0 = e3) | (op(e3, e0) = v1 & $i(v1) & ( ~
% 190.05/29.73 (v1 = e1) | ( ~ (v2 = e2) & op(e1, e3) = v2 & $i(v2))))))
% 190.05/29.73
% 190.05/29.73 (ax9)
% 190.05/29.73 $i(e3) & $i(e2) & $i(e1) & $i(e0) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 190.05/29.73 (op(e0, e0) = v0 & $i(v0) & ( ~ (v0 = e1) | (op(e1, e0) = v1 & $i(v1) & ( ~
% 190.05/29.73 (v1 = e3) | ( ~ (v2 = e2) & op(e3, e1) = v2 & $i(v2))))))
% 190.05/29.73
% 190.05/29.73 (function-axioms)
% 190.52/29.73 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ (op(v3,
% 190.52/29.73 v2) = v1) | ~ (op(v3, v2) = v0))
% 190.52/29.73
% 190.52/29.73 Those formulas are unsatisfiable:
% 190.52/29.73 ---------------------------------
% 190.52/29.73
% 190.52/29.73 Begin of proof
% 190.52/29.74 |
% 190.52/29.74 | ALPHA: (ax1) implies:
% 190.52/29.74 | (1) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] :
% 190.52/29.74 | ? [v5: $i] : ? [v6: $i] : ? [v7: $i] : ? [v8: $i] : ? [v9: $i] : ?
% 190.52/29.74 | [v10: $i] : ? [v11: $i] : ? [v12: $i] : ? [v13: $i] : ? [v14: $i] :
% 190.52/29.74 | ? [v15: $i] : (op(e3, e3) = v15 & op(e3, e2) = v14 & op(e3, e1) = v13
% 190.52/29.74 | & op(e3, e0) = v12 & op(e2, e3) = v11 & op(e2, e2) = v10 & op(e2, e1)
% 190.52/29.74 | = v9 & op(e2, e0) = v8 & op(e1, e3) = v7 & op(e1, e2) = v6 & op(e1,
% 190.52/29.74 | e1) = v5 & op(e1, e0) = v4 & op(e0, e3) = v3 & op(e0, e2) = v2 &
% 190.52/29.74 | op(e0, e1) = v1 & op(e0, e0) = v0 & $i(v15) & $i(v14) & $i(v13) &
% 190.52/29.74 | $i(v12) & $i(v11) & $i(v10) & $i(v9) & $i(v8) & $i(v7) & $i(v6) &
% 190.52/29.74 | $i(v5) & $i(v4) & $i(v3) & $i(v2) & $i(v1) & $i(v0) & (v15 = e3 | v15
% 190.52/29.74 | = e2 | v15 = e1 | v15 = e0) & (v14 = e3 | v14 = e2 | v14 = e1 | v14
% 190.52/29.74 | = e0) & (v13 = e3 | v13 = e2 | v13 = e1 | v13 = e0) & (v12 = e3 |
% 190.52/29.74 | v12 = e2 | v12 = e1 | v12 = e0) & (v11 = e3 | v11 = e2 | v11 = e1 |
% 190.52/29.74 | v11 = e0) & (v10 = e3 | v10 = e2 | v10 = e1 | v10 = e0) & (v9 = e3
% 190.52/29.74 | | v9 = e2 | v9 = e1 | v9 = e0) & (v8 = e3 | v8 = e2 | v8 = e1 | v8
% 190.52/29.74 | = e0) & (v7 = e3 | v7 = e2 | v7 = e1 | v7 = e0) & (v6 = e3 | v6 =
% 190.52/29.74 | e2 | v6 = e1 | v6 = e0) & (v5 = e3 | v5 = e2 | v5 = e1 | v5 = e0) &
% 190.52/29.74 | (v4 = e3 | v4 = e2 | v4 = e1 | v4 = e0) & (v3 = e3 | v3 = e2 | v3 =
% 190.52/29.74 | e1 | v3 = e0) & (v2 = e3 | v2 = e2 | v2 = e1 | v2 = e0) & (v1 = e3
% 190.52/29.74 | | v1 = e2 | v1 = e1 | v1 = e0) & (v0 = e3 | v0 = e2 | v0 = e1 | v0
% 190.52/29.74 | = e0))
% 190.52/29.74 |
% 190.52/29.74 | ALPHA: (ax2) implies:
% 190.52/29.76 | (2) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] :
% 190.52/29.76 | ? [v5: $i] : ? [v6: $i] : ? [v7: $i] : ? [v8: $i] : ? [v9: $i] : ?
% 190.52/29.76 | [v10: $i] : ? [v11: $i] : ? [v12: $i] : ? [v13: $i] : ? [v14: $i] :
% 190.52/29.76 | ? [v15: $i] : (((v15 = e3 & op(e3, e3) = e3) | (v14 = e3 & op(e3, e2)
% 190.52/29.76 | = e3) | (v11 = e3 & op(e3, e1) = e3) | (v6 = e3 & op(e3, e0) =
% 190.52/29.76 | e3)) & ((v15 = e3 & op(e3, e3) = e3) | (v13 = e3 & op(e2, e3) =
% 190.52/29.76 | e3) | (v9 = e3 & op(e1, e3) = e3) | (v3 = e3 & op(e0, e3) = e3))
% 190.52/29.76 | & ((v15 = e2 & op(e3, e3) = e2) | (v14 = e2 & op(e3, e2) = e2) | (v11
% 190.52/29.76 | = e2 & op(e3, e1) = e2) | (v6 = e2 & op(e3, e0) = e2)) & ((v15 =
% 190.52/29.76 | e2 & op(e3, e3) = e2) | (v13 = e2 & op(e2, e3) = e2) | (v9 = e2 &
% 190.52/29.76 | op(e1, e3) = e2) | (v3 = e2 & op(e0, e3) = e2)) & ((v15 = e1 &
% 190.52/29.76 | op(e3, e3) = e1) | (v14 = e1 & op(e3, e2) = e1) | (v11 = e1 &
% 190.52/29.76 | op(e3, e1) = e1) | (v6 = e1 & op(e3, e0) = e1)) & ((v15 = e1 &
% 190.52/29.76 | op(e3, e3) = e1) | (v13 = e1 & op(e2, e3) = e1) | (v9 = e1 &
% 190.52/29.76 | op(e1, e3) = e1) | (v3 = e1 & op(e0, e3) = e1)) & ((v15 = e0 &
% 190.52/29.76 | op(e3, e3) = e0) | (v14 = e0 & op(e3, e2) = e0) | (v11 = e0 &
% 190.52/29.76 | op(e3, e1) = e0) | (v6 = e0 & op(e3, e0) = e0)) & ((v15 = e0 &
% 190.52/29.76 | op(e3, e3) = e0) | (v13 = e0 & op(e2, e3) = e0) | (v9 = e0 &
% 190.52/29.76 | op(e1, e3) = e0) | (v3 = e0 & op(e0, e3) = e0)) & ((v14 = e3 &
% 190.52/29.76 | op(e3, e2) = e3) | (v12 = e3 & op(e2, e2) = e3) | (v8 = e3 &
% 190.52/29.76 | op(e1, e2) = e3) | (v2 = e3 & op(e0, e2) = e3)) & ((v14 = e2 &
% 190.52/29.76 | op(e3, e2) = e2) | (v12 = e2 & op(e2, e2) = e2) | (v8 = e2 &
% 190.52/29.76 | op(e1, e2) = e2) | (v2 = e2 & op(e0, e2) = e2)) & ((v14 = e1 &
% 190.52/29.76 | op(e3, e2) = e1) | (v12 = e1 & op(e2, e2) = e1) | (v8 = e1 &
% 190.52/29.76 | op(e1, e2) = e1) | (v2 = e1 & op(e0, e2) = e1)) & ((v14 = e0 &
% 190.52/29.76 | op(e3, e2) = e0) | (v12 = e0 & op(e2, e2) = e0) | (v8 = e0 &
% 190.52/29.76 | op(e1, e2) = e0) | (v2 = e0 & op(e0, e2) = e0)) & ((v13 = e3 &
% 190.52/29.76 | op(e2, e3) = e3) | (v12 = e3 & op(e2, e2) = e3) | (v10 = e3 &
% 190.52/29.76 | op(e2, e1) = e3) | (v5 = e3 & op(e2, e0) = e3)) & ((v13 = e2 &
% 190.52/29.76 | op(e2, e3) = e2) | (v12 = e2 & op(e2, e2) = e2) | (v10 = e2 &
% 190.52/29.76 | op(e2, e1) = e2) | (v5 = e2 & op(e2, e0) = e2)) & ((v13 = e1 &
% 190.52/29.76 | op(e2, e3) = e1) | (v12 = e1 & op(e2, e2) = e1) | (v10 = e1 &
% 190.52/29.76 | op(e2, e1) = e1) | (v5 = e1 & op(e2, e0) = e1)) & ((v13 = e0 &
% 190.52/29.76 | op(e2, e3) = e0) | (v12 = e0 & op(e2, e2) = e0) | (v10 = e0 &
% 190.52/29.76 | op(e2, e1) = e0) | (v5 = e0 & op(e2, e0) = e0)) & ((v11 = e3 &
% 190.52/29.76 | op(e3, e1) = e3) | (v10 = e3 & op(e2, e1) = e3) | (v7 = e3 &
% 190.52/29.76 | op(e1, e1) = e3) | (v1 = e3 & op(e0, e1) = e3)) & ((v11 = e2 &
% 190.52/29.76 | op(e3, e1) = e2) | (v10 = e2 & op(e2, e1) = e2) | (v7 = e2 &
% 190.52/29.76 | op(e1, e1) = e2) | (v1 = e2 & op(e0, e1) = e2)) & ((v11 = e1 &
% 190.52/29.76 | op(e3, e1) = e1) | (v10 = e1 & op(e2, e1) = e1) | (v7 = e1 &
% 190.52/29.76 | op(e1, e1) = e1) | (v1 = e1 & op(e0, e1) = e1)) & ((v11 = e0 &
% 190.52/29.76 | op(e3, e1) = e0) | (v10 = e0 & op(e2, e1) = e0) | (v7 = e0 &
% 190.52/29.76 | op(e1, e1) = e0) | (v1 = e0 & op(e0, e1) = e0)) & ((v9 = e3 &
% 190.52/29.76 | op(e1, e3) = e3) | (v8 = e3 & op(e1, e2) = e3) | (v7 = e3 &
% 190.52/29.76 | op(e1, e1) = e3) | (v4 = e3 & op(e1, e0) = e3)) & ((v9 = e2 &
% 190.52/29.76 | op(e1, e3) = e2) | (v8 = e2 & op(e1, e2) = e2) | (v7 = e2 &
% 190.52/29.76 | op(e1, e1) = e2) | (v4 = e2 & op(e1, e0) = e2)) & ((v9 = e1 &
% 190.52/29.76 | op(e1, e3) = e1) | (v8 = e1 & op(e1, e2) = e1) | (v7 = e1 &
% 190.52/29.76 | op(e1, e1) = e1) | (v4 = e1 & op(e1, e0) = e1)) & ((v9 = e0 &
% 190.52/29.76 | op(e1, e3) = e0) | (v8 = e0 & op(e1, e2) = e0) | (v7 = e0 &
% 190.52/29.76 | op(e1, e1) = e0) | (v4 = e0 & op(e1, e0) = e0)) & ((v6 = e3 &
% 190.52/29.76 | op(e3, e0) = e3) | (v5 = e3 & op(e2, e0) = e3) | (v4 = e3 &
% 190.52/29.76 | op(e1, e0) = e3) | (v0 = e3 & op(e0, e0) = e3)) & ((v6 = e2 &
% 190.52/29.76 | op(e3, e0) = e2) | (v5 = e2 & op(e2, e0) = e2) | (v4 = e2 &
% 190.52/29.76 | op(e1, e0) = e2) | (v0 = e2 & op(e0, e0) = e2)) & ((v6 = e1 &
% 190.52/29.76 | op(e3, e0) = e1) | (v5 = e1 & op(e2, e0) = e1) | (v4 = e1 &
% 190.52/29.76 | op(e1, e0) = e1) | (v0 = e1 & op(e0, e0) = e1)) & ((v3 = e3 &
% 190.52/29.76 | op(e0, e3) = e3) | (v2 = e3 & op(e0, e2) = e3) | (v1 = e3 &
% 190.52/29.76 | op(e0, e1) = e3) | (v0 = e3 & op(e0, e0) = e3)) & ((v3 = e2 &
% 190.52/29.76 | op(e0, e3) = e2) | (v2 = e2 & op(e0, e2) = e2) | (v1 = e2 &
% 190.52/29.76 | op(e0, e1) = e2) | (v0 = e2 & op(e0, e0) = e2)) & ((v3 = e1 &
% 190.52/29.76 | op(e0, e3) = e1) | (v2 = e1 & op(e0, e2) = e1) | (v1 = e1 &
% 190.52/29.76 | op(e0, e1) = e1) | (v0 = e1 & op(e0, e0) = e1)) & ((v0 = e0 &
% 190.52/29.76 | op(e0, e0) = e0) | (((v6 = e0 & op(e3, e0) = e0) | (v5 = e0 &
% 190.52/29.76 | op(e2, e0) = e0) | (v4 = e0 & op(e1, e0) = e0)) & ((v3 = e0 &
% 190.52/29.76 | op(e0, e3) = e0) | (v2 = e0 & op(e0, e2) = e0) | (v1 = e0 &
% 190.52/29.76 | op(e0, e1) = e0)))))
% 190.52/29.76 |
% 190.52/29.76 | ALPHA: (ax3) implies:
% 190.52/29.77 | (3) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] :
% 190.52/29.77 | ? [v5: $i] : ? [v6: $i] : ? [v7: $i] : ? [v8: $i] : ? [v9: $i] : ?
% 190.52/29.77 | [v10: $i] : ? [v11: $i] : ? [v12: $i] : ? [v13: $i] : ? [v14: $i] :
% 190.52/29.77 | ? [v15: $i] : ( ~ (v15 = v14) & ~ (v15 = v13) & ~ (v15 = v12) & ~
% 190.52/29.77 | (v15 = v11) & ~ (v15 = v7) & ~ (v15 = v3) & ~ (v14 = v13) & ~
% 190.52/29.77 | (v14 = v12) & ~ (v14 = v10) & ~ (v14 = v6) & ~ (v14 = v2) & ~
% 190.52/29.77 | (v13 = v12) & ~ (v13 = v9) & ~ (v13 = v5) & ~ (v13 = v1) & ~ (v12
% 190.52/29.77 | = v8) & ~ (v12 = v4) & ~ (v12 = v0) & ~ (v11 = v10) & ~ (v11 =
% 190.52/29.77 | v9) & ~ (v11 = v8) & ~ (v11 = v7) & ~ (v11 = v3) & ~ (v10 = v9)
% 190.52/29.77 | & ~ (v10 = v8) & ~ (v10 = v6) & ~ (v10 = v2) & ~ (v9 = v8) & ~
% 190.52/29.77 | (v9 = v5) & ~ (v9 = v1) & ~ (v8 = v4) & ~ (v8 = v0) & ~ (v7 = v6)
% 190.52/29.77 | & ~ (v7 = v5) & ~ (v7 = v4) & ~ (v7 = v3) & ~ (v6 = v5) & ~ (v6
% 190.52/29.77 | = v4) & ~ (v6 = v2) & ~ (v5 = v4) & ~ (v5 = v1) & ~ (v4 = v0) &
% 190.52/29.77 | ~ (v3 = v2) & ~ (v3 = v1) & ~ (v3 = v0) & ~ (v2 = v1) & ~ (v2 =
% 190.52/29.77 | v0) & ~ (v1 = v0) & op(e3, e3) = v15 & op(e3, e2) = v11 & op(e3,
% 190.52/29.77 | e1) = v7 & op(e3, e0) = v3 & op(e2, e3) = v14 & op(e2, e2) = v10 &
% 190.52/29.77 | op(e2, e1) = v6 & op(e2, e0) = v2 & op(e1, e3) = v13 & op(e1, e2) =
% 190.52/29.77 | v9 & op(e1, e1) = v5 & op(e1, e0) = v1 & op(e0, e3) = v12 & op(e0,
% 190.52/29.77 | e2) = v8 & op(e0, e1) = v4 & op(e0, e0) = v0 & $i(v15) & $i(v14) &
% 190.52/29.77 | $i(v13) & $i(v12) & $i(v11) & $i(v10) & $i(v9) & $i(v8) & $i(v7) &
% 190.52/29.77 | $i(v6) & $i(v5) & $i(v4) & $i(v3) & $i(v2) & $i(v1) & $i(v0))
% 190.52/29.77 |
% 190.52/29.77 | ALPHA: (ax4) implies:
% 190.52/29.77 | (4) ~ (e1 = e0)
% 190.52/29.77 | (5) ~ (e2 = e0)
% 190.52/29.77 | (6) ~ (e2 = e1)
% 190.52/29.77 | (7) ~ (e3 = e0)
% 190.52/29.77 | (8) ~ (e3 = e1)
% 190.52/29.77 | (9) ~ (e3 = e2)
% 190.52/29.77 |
% 190.52/29.77 | ALPHA: (ax5) implies:
% 190.81/29.79 | (10) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] :
% 190.81/29.79 | ? [v5: $i] : ? [v6: $i] : ? [v7: $i] : ? [v8: $i] : ? [v9: $i] :
% 190.81/29.79 | ? [v10: $i] : ? [v11: $i] : ? [v12: $i] : ? [v13: $i] : ? [v14:
% 190.81/29.79 | $i] : ? [v15: $i] : ? [v16: $i] : ? [v17: $i] : ? [v18: $i] : ?
% 190.81/29.79 | [v19: $i] : ? [v20: $i] : ? [v21: $i] : ? [v22: $i] : ? [v23: $i]
% 190.81/29.79 | : ? [v24: $i] : ? [v25: $i] : ? [v26: $i] : ? [v27: $i] : ? [v28:
% 190.81/29.79 | $i] : ? [v29: $i] : ? [v30: $i] : ? [v31: $i] : (((v30 = e2 & ~
% 190.81/29.79 | (v28 = e3) & ~ (v23 = e3) & ~ (v21 = e2) & ~ (v19 = e1) & ~
% 190.81/29.79 | (v17 = e0) & op(e3, e3) = e2 & op(e3, e2) = v28 & op(e2, v22) =
% 190.81/29.79 | v23 & op(e2, v20) = v21 & op(e2, v18) = v19 & op(e2, v16) = v17
% 190.81/29.79 | & op(e2, e3) = v22 & op(e2, e2) = v20 & op(e2, e1) = v18 &
% 190.81/29.79 | op(e2, e0) = v16 & $i(v28) & $i(v23) & $i(v22) & $i(v21) &
% 190.81/29.79 | $i(v20) & $i(v19) & $i(v18) & $i(v17) & $i(v16)) | (v30 = e1 &
% 190.81/29.79 | ~ (v26 = e3) & ~ (v15 = e3) & ~ (v13 = e2) & ~ (v11 = e1) &
% 190.81/29.79 | ~ (v9 = e0) & op(e3, e3) = e1 & op(e3, e1) = v26 & op(e1, v14) =
% 190.81/29.79 | v15 & op(e1, v12) = v13 & op(e1, v10) = v11 & op(e1, v8) = v9 &
% 190.81/29.79 | op(e1, e3) = v14 & op(e1, e2) = v12 & op(e1, e1) = v10 & op(e1,
% 190.81/29.79 | e0) = v8 & $i(v26) & $i(v15) & $i(v14) & $i(v13) & $i(v12) &
% 190.81/29.79 | $i(v11) & $i(v10) & $i(v9) & $i(v8)) | (v30 = e0 & ~ (v24 = e3)
% 190.81/29.79 | & ~ (v7 = e3) & ~ (v5 = e2) & ~ (v3 = e1) & ~ (v1 = e0) &
% 190.81/29.79 | op(e3, e3) = e0 & op(e3, e0) = v24 & op(e0, v6) = v7 & op(e0,
% 190.81/29.79 | v4) = v5 & op(e0, v2) = v3 & op(e0, v0) = v1 & op(e0, e3) = v6
% 190.81/29.79 | & op(e0, e2) = v4 & op(e0, e1) = v2 & op(e0, e0) = v0 & $i(v24)
% 190.81/29.79 | & $i(v7) & $i(v6) & $i(v5) & $i(v4) & $i(v3) & $i(v2) & $i(v1) &
% 190.81/29.79 | $i(v0)) | (v20 = e3 & ~ (v31 = e3) & ~ (v29 = e2) & ~ (v27 =
% 190.81/29.79 | e1) & ~ (v25 = e0) & ~ (v22 = e2) & op(e3, v30) = v31 &
% 190.81/29.79 | op(e3, v28) = v29 & op(e3, v26) = v27 & op(e3, v24) = v25 &
% 190.81/29.79 | op(e3, e3) = v30 & op(e3, e2) = v28 & op(e3, e1) = v26 & op(e3,
% 190.81/29.79 | e0) = v24 & op(e2, e3) = v22 & op(e2, e2) = e3 & $i(v31) &
% 190.81/29.79 | $i(v30) & $i(v29) & $i(v28) & $i(v27) & $i(v26) & $i(v25) &
% 190.81/29.79 | $i(v24) & $i(v22)) | (v20 = e1 & ~ (v18 = e2) & ~ (v15 = e3) &
% 190.81/29.79 | ~ (v13 = e2) & ~ (v11 = e1) & ~ (v9 = e0) & op(e2, e2) = e1 &
% 190.81/29.79 | op(e2, e1) = v18 & op(e1, v14) = v15 & op(e1, v12) = v13 &
% 190.81/29.79 | op(e1, v10) = v11 & op(e1, v8) = v9 & op(e1, e3) = v14 & op(e1,
% 190.81/29.79 | e2) = v12 & op(e1, e1) = v10 & op(e1, e0) = v8 & $i(v18) &
% 190.81/29.80 | $i(v15) & $i(v14) & $i(v13) & $i(v12) & $i(v11) & $i(v10) &
% 190.81/29.80 | $i(v9) & $i(v8)) | (v20 = e0 & ~ (v16 = e2) & ~ (v7 = e3) & ~
% 190.81/29.80 | (v5 = e2) & ~ (v3 = e1) & ~ (v1 = e0) & op(e2, e2) = e0 &
% 190.81/29.80 | op(e2, e0) = v16 & op(e0, v6) = v7 & op(e0, v4) = v5 & op(e0,
% 190.81/29.80 | v2) = v3 & op(e0, v0) = v1 & op(e0, e3) = v6 & op(e0, e2) = v4
% 190.81/29.80 | & op(e0, e1) = v2 & op(e0, e0) = v0 & $i(v16) & $i(v7) & $i(v6)
% 190.81/29.80 | & $i(v5) & $i(v4) & $i(v3) & $i(v2) & $i(v1) & $i(v0)) | (v10 =
% 190.81/29.80 | e3 & ~ (v31 = e3) & ~ (v29 = e2) & ~ (v27 = e1) & ~ (v25 =
% 190.81/29.80 | e0) & ~ (v14 = e1) & op(e3, v30) = v31 & op(e3, v28) = v29 &
% 190.81/29.80 | op(e3, v26) = v27 & op(e3, v24) = v25 & op(e3, e3) = v30 &
% 190.81/29.80 | op(e3, e2) = v28 & op(e3, e1) = v26 & op(e3, e0) = v24 & op(e1,
% 190.81/29.80 | e3) = v14 & op(e1, e1) = e3 & $i(v31) & $i(v30) & $i(v29) &
% 190.81/29.80 | $i(v28) & $i(v27) & $i(v26) & $i(v25) & $i(v24) & $i(v14)) |
% 190.81/29.80 | (v10 = e2 & ~ (v23 = e3) & ~ (v21 = e2) & ~ (v19 = e1) & ~
% 190.81/29.80 | (v17 = e0) & ~ (v12 = e1) & op(e2, v22) = v23 & op(e2, v20) =
% 190.81/29.80 | v21 & op(e2, v18) = v19 & op(e2, v16) = v17 & op(e2, e3) = v22 &
% 190.81/29.80 | op(e2, e2) = v20 & op(e2, e1) = v18 & op(e2, e0) = v16 & op(e1,
% 190.81/29.80 | e2) = v12 & op(e1, e1) = e2 & $i(v23) & $i(v22) & $i(v21) &
% 190.81/29.80 | $i(v20) & $i(v19) & $i(v18) & $i(v17) & $i(v16) & $i(v12)) |
% 190.81/29.80 | (op(e0, e0) = v0 & $i(v0) & ((v10 = e0 & ~ (v8 = e1) & ~ (v7 =
% 190.81/29.80 | e3) & ~ (v5 = e2) & ~ (v3 = e1) & ~ (v1 = e0) & op(e1,
% 190.81/29.80 | e1) = e0 & op(e1, e0) = v8 & op(e0, v6) = v7 & op(e0, v4)
% 190.81/29.80 | = v5 & op(e0, v2) = v3 & op(e0, v0) = v1 & op(e0, e3) = v6 &
% 190.81/29.80 | op(e0, e2) = v4 & op(e0, e1) = v2 & $i(v8) & $i(v7) & $i(v6)
% 190.81/29.80 | & $i(v5) & $i(v4) & $i(v3) & $i(v2) & $i(v1)) | (v0 = e3 &
% 190.81/29.80 | ~ (v31 = e3) & ~ (v29 = e2) & ~ (v27 = e1) & ~ (v25 = e0)
% 190.81/29.80 | & ~ (v6 = e0) & op(e3, v30) = v31 & op(e3, v28) = v29 &
% 190.81/29.80 | op(e3, v26) = v27 & op(e3, v24) = v25 & op(e3, e3) = v30 &
% 190.81/29.80 | op(e3, e2) = v28 & op(e3, e1) = v26 & op(e3, e0) = v24 &
% 190.81/29.80 | op(e0, e3) = v6 & $i(v31) & $i(v30) & $i(v29) & $i(v28) &
% 190.81/29.80 | $i(v27) & $i(v26) & $i(v25) & $i(v24) & $i(v6)) | (v0 = e2 &
% 190.81/29.80 | ~ (v23 = e3) & ~ (v21 = e2) & ~ (v19 = e1) & ~ (v17 =
% 190.81/29.80 | e0) & ~ (v4 = e0) & op(e2, v22) = v23 & op(e2, v20) = v21
% 190.81/29.80 | & op(e2, v18) = v19 & op(e2, v16) = v17 & op(e2, e3) = v22 &
% 190.81/29.80 | op(e2, e2) = v20 & op(e2, e1) = v18 & op(e2, e0) = v16 &
% 190.81/29.80 | op(e0, e2) = v4 & $i(v23) & $i(v22) & $i(v21) & $i(v20) &
% 190.81/29.80 | $i(v19) & $i(v18) & $i(v17) & $i(v16) & $i(v4)) | (v0 = e1 &
% 190.81/29.80 | ~ (v15 = e3) & ~ (v13 = e2) & ~ (v11 = e1) & ~ (v9 = e0)
% 190.81/29.80 | & ~ (v2 = e0) & op(e1, v14) = v15 & op(e1, v12) = v13 &
% 190.81/29.80 | op(e1, v10) = v11 & op(e1, v8) = v9 & op(e1, e3) = v14 &
% 190.81/29.80 | op(e1, e2) = v12 & op(e1, e1) = v10 & op(e1, e0) = v8 &
% 190.81/29.80 | op(e0, e1) = v2 & $i(v15) & $i(v14) & $i(v13) & $i(v12) &
% 190.81/29.80 | $i(v11) & $i(v10) & $i(v9) & $i(v8) & $i(v2))))) & ((v28 =
% 190.81/29.80 | e3 & ~ (v30 = e2) & ~ (v23 = e3) & ~ (v21 = e2) & ~ (v19 =
% 190.81/29.80 | e1) & ~ (v17 = e0) & op(e3, e3) = v30 & op(e3, e2) = e3 &
% 190.81/29.80 | op(e2, v22) = v23 & op(e2, v20) = v21 & op(e2, v18) = v19 &
% 190.81/29.80 | op(e2, v16) = v17 & op(e2, e3) = v22 & op(e2, e2) = v20 & op(e2,
% 190.81/29.80 | e1) = v18 & op(e2, e0) = v16 & $i(v30) & $i(v23) & $i(v22) &
% 190.81/29.80 | $i(v21) & $i(v20) & $i(v19) & $i(v18) & $i(v17) & $i(v16)) |
% 190.81/29.80 | (v26 = e3 & ~ (v30 = e1) & ~ (v15 = e3) & ~ (v13 = e2) & ~
% 190.81/29.80 | (v11 = e1) & ~ (v9 = e0) & op(e3, e3) = v30 & op(e3, e1) = e3 &
% 190.81/29.80 | op(e1, v14) = v15 & op(e1, v12) = v13 & op(e1, v10) = v11 &
% 190.81/29.80 | op(e1, v8) = v9 & op(e1, e3) = v14 & op(e1, e2) = v12 & op(e1,
% 190.81/29.80 | e1) = v10 & op(e1, e0) = v8 & $i(v30) & $i(v15) & $i(v14) &
% 190.81/29.80 | $i(v13) & $i(v12) & $i(v11) & $i(v10) & $i(v9) & $i(v8)) | (v24
% 190.81/29.80 | = e3 & ~ (v30 = e0) & ~ (v7 = e3) & ~ (v5 = e2) & ~ (v3 =
% 190.81/29.80 | e1) & ~ (v1 = e0) & op(e3, e3) = v30 & op(e3, e0) = e3 &
% 190.81/29.80 | op(e0, v6) = v7 & op(e0, v4) = v5 & op(e0, v2) = v3 & op(e0, v0)
% 190.81/29.80 | = v1 & op(e0, e3) = v6 & op(e0, e2) = v4 & op(e0, e1) = v2 &
% 190.81/29.80 | op(e0, e0) = v0 & $i(v30) & $i(v7) & $i(v6) & $i(v5) & $i(v4) &
% 190.81/29.80 | $i(v3) & $i(v2) & $i(v1) & $i(v0)) | (v22 = e2 & ~ (v31 = e3) &
% 190.81/29.80 | ~ (v29 = e2) & ~ (v27 = e1) & ~ (v25 = e0) & ~ (v20 = e3) &
% 190.81/29.80 | op(e3, v30) = v31 & op(e3, v28) = v29 & op(e3, v26) = v27 &
% 190.81/29.80 | op(e3, v24) = v25 & op(e3, e3) = v30 & op(e3, e2) = v28 & op(e3,
% 190.81/29.80 | e1) = v26 & op(e3, e0) = v24 & op(e2, e3) = e2 & op(e2, e2) =
% 190.81/29.80 | v20 & $i(v31) & $i(v30) & $i(v29) & $i(v28) & $i(v27) & $i(v26)
% 190.81/29.80 | & $i(v25) & $i(v24) & $i(v20)) | (v18 = e2 & ~ (v20 = e1) & ~
% 190.81/29.80 | (v15 = e3) & ~ (v13 = e2) & ~ (v11 = e1) & ~ (v9 = e0) &
% 190.81/29.80 | op(e2, e2) = v20 & op(e2, e1) = e2 & op(e1, v14) = v15 & op(e1,
% 190.81/29.80 | v12) = v13 & op(e1, v10) = v11 & op(e1, v8) = v9 & op(e1, e3)
% 190.81/29.80 | = v14 & op(e1, e2) = v12 & op(e1, e1) = v10 & op(e1, e0) = v8 &
% 190.81/29.80 | $i(v20) & $i(v15) & $i(v14) & $i(v13) & $i(v12) & $i(v11) &
% 190.81/29.80 | $i(v10) & $i(v9) & $i(v8)) | (v16 = e2 & ~ (v20 = e0) & ~ (v7
% 190.81/29.80 | = e3) & ~ (v5 = e2) & ~ (v3 = e1) & ~ (v1 = e0) & op(e2,
% 190.81/29.80 | e2) = v20 & op(e2, e0) = e2 & op(e0, v6) = v7 & op(e0, v4) =
% 190.81/29.80 | v5 & op(e0, v2) = v3 & op(e0, v0) = v1 & op(e0, e3) = v6 &
% 190.81/29.80 | op(e0, e2) = v4 & op(e0, e1) = v2 & op(e0, e0) = v0 & $i(v20) &
% 190.81/29.80 | $i(v7) & $i(v6) & $i(v5) & $i(v4) & $i(v3) & $i(v2) & $i(v1) &
% 190.81/29.80 | $i(v0)) | (v14 = e1 & ~ (v31 = e3) & ~ (v29 = e2) & ~ (v27 =
% 190.81/29.80 | e1) & ~ (v25 = e0) & ~ (v10 = e3) & op(e3, v30) = v31 &
% 190.81/29.80 | op(e3, v28) = v29 & op(e3, v26) = v27 & op(e3, v24) = v25 &
% 190.81/29.80 | op(e3, e3) = v30 & op(e3, e2) = v28 & op(e3, e1) = v26 & op(e3,
% 190.81/29.80 | e0) = v24 & op(e1, e3) = e1 & op(e1, e1) = v10 & $i(v31) &
% 190.81/29.80 | $i(v30) & $i(v29) & $i(v28) & $i(v27) & $i(v26) & $i(v25) &
% 190.81/29.80 | $i(v24) & $i(v10)) | (v12 = e1 & ~ (v23 = e3) & ~ (v21 = e2) &
% 190.81/29.80 | ~ (v19 = e1) & ~ (v17 = e0) & ~ (v10 = e2) & op(e2, v22) =
% 190.81/29.80 | v23 & op(e2, v20) = v21 & op(e2, v18) = v19 & op(e2, v16) = v17
% 190.81/29.80 | & op(e2, e3) = v22 & op(e2, e2) = v20 & op(e2, e1) = v18 &
% 190.81/29.80 | op(e2, e0) = v16 & op(e1, e2) = e1 & op(e1, e1) = v10 & $i(v23)
% 190.81/29.80 | & $i(v22) & $i(v21) & $i(v20) & $i(v19) & $i(v18) & $i(v17) &
% 190.81/29.80 | $i(v16) & $i(v10)) | (op(e0, e0) = v0 & $i(v0) & ((v8 = e1 & ~
% 190.81/29.80 | (v10 = e0) & ~ (v7 = e3) & ~ (v5 = e2) & ~ (v3 = e1) & ~
% 190.81/29.80 | (v1 = e0) & op(e1, e1) = v10 & op(e1, e0) = e1 & op(e0, v6)
% 190.81/29.80 | = v7 & op(e0, v4) = v5 & op(e0, v2) = v3 & op(e0, v0) = v1 &
% 190.81/29.80 | op(e0, e3) = v6 & op(e0, e2) = v4 & op(e0, e1) = v2 &
% 190.81/29.80 | $i(v10) & $i(v7) & $i(v6) & $i(v5) & $i(v4) & $i(v3) &
% 190.81/29.80 | $i(v2) & $i(v1)) | (v6 = e0 & ~ (v31 = e3) & ~ (v29 = e2)
% 190.81/29.80 | & ~ (v27 = e1) & ~ (v25 = e0) & ~ (v0 = e3) & op(e3, v30)
% 190.81/29.80 | = v31 & op(e3, v28) = v29 & op(e3, v26) = v27 & op(e3, v24)
% 190.81/29.80 | = v25 & op(e3, e3) = v30 & op(e3, e2) = v28 & op(e3, e1) =
% 190.81/29.80 | v26 & op(e3, e0) = v24 & op(e0, e3) = e0 & $i(v31) & $i(v30)
% 190.81/29.80 | & $i(v29) & $i(v28) & $i(v27) & $i(v26) & $i(v25) & $i(v24))
% 190.81/29.80 | | (v4 = e0 & ~ (v23 = e3) & ~ (v21 = e2) & ~ (v19 = e1) &
% 190.81/29.80 | ~ (v17 = e0) & ~ (v0 = e2) & op(e2, v22) = v23 & op(e2,
% 190.81/29.80 | v20) = v21 & op(e2, v18) = v19 & op(e2, v16) = v17 &
% 190.81/29.80 | op(e2, e3) = v22 & op(e2, e2) = v20 & op(e2, e1) = v18 &
% 190.81/29.80 | op(e2, e0) = v16 & op(e0, e2) = e0 & $i(v23) & $i(v22) &
% 190.81/29.80 | $i(v21) & $i(v20) & $i(v19) & $i(v18) & $i(v17) & $i(v16)) |
% 190.81/29.80 | (v2 = e0 & ~ (v15 = e3) & ~ (v13 = e2) & ~ (v11 = e1) & ~
% 190.81/29.80 | (v9 = e0) & ~ (v0 = e1) & op(e1, v14) = v15 & op(e1, v12) =
% 190.81/29.80 | v13 & op(e1, v10) = v11 & op(e1, v8) = v9 & op(e1, e3) = v14
% 190.81/29.80 | & op(e1, e2) = v12 & op(e1, e1) = v10 & op(e1, e0) = v8 &
% 190.81/29.80 | op(e0, e1) = e0 & $i(v15) & $i(v14) & $i(v13) & $i(v12) &
% 190.81/29.80 | $i(v11) & $i(v10) & $i(v9) & $i(v8))))))
% 190.81/29.80 |
% 190.81/29.80 | ALPHA: (ax6) implies:
% 190.81/29.80 | (11) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (op(e0, e0) = v0 & $i(v0) &
% 190.81/29.80 | ( ~ (v0 = e3) | (op(e3, e0) = v1 & $i(v1) & ( ~ (v1 = e2) | ( ~ (v2
% 190.81/29.80 | = e1) & op(e2, e3) = v2 & $i(v2))))))
% 190.81/29.80 |
% 190.81/29.80 | ALPHA: (ax7) implies:
% 190.81/29.80 | (12) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (op(e0, e0) = v0 & $i(v0) &
% 190.81/29.80 | ( ~ (v0 = e2) | (op(e2, e0) = v1 & $i(v1) & ( ~ (v1 = e3) | ( ~ (v2
% 190.81/29.80 | = e1) & op(e3, e2) = v2 & $i(v2))))))
% 190.81/29.80 |
% 190.81/29.80 | ALPHA: (ax8) implies:
% 190.81/29.80 | (13) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (op(e0, e0) = v0 & $i(v0) &
% 190.81/29.80 | ( ~ (v0 = e3) | (op(e3, e0) = v1 & $i(v1) & ( ~ (v1 = e1) | ( ~ (v2
% 190.81/29.80 | = e2) & op(e1, e3) = v2 & $i(v2))))))
% 190.81/29.80 |
% 190.81/29.80 | ALPHA: (ax9) implies:
% 190.81/29.80 | (14) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (op(e0, e0) = v0 & $i(v0) &
% 190.81/29.80 | ( ~ (v0 = e1) | (op(e1, e0) = v1 & $i(v1) & ( ~ (v1 = e3) | ( ~ (v2
% 190.81/29.80 | = e2) & op(e3, e1) = v2 & $i(v2))))))
% 190.81/29.80 |
% 190.81/29.80 | ALPHA: (ax10) implies:
% 190.81/29.80 | (15) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (op(e0, e0) = v0 & $i(v0) &
% 190.81/29.80 | ( ~ (v0 = e2) | (op(e2, e0) = v1 & $i(v1) & ( ~ (v1 = e1) | ( ~ (v2
% 190.81/29.80 | = e3) & op(e1, e2) = v2 & $i(v2))))))
% 190.81/29.80 |
% 190.81/29.80 | ALPHA: (ax11) implies:
% 190.81/29.80 | (16) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (op(e0, e0) = v0 & $i(v0) &
% 190.81/29.80 | ( ~ (v0 = e1) | (op(e1, e0) = v1 & $i(v1) & ( ~ (v1 = e2) | ( ~ (v2
% 190.81/29.80 | = e3) & op(e2, e1) = v2 & $i(v2))))))
% 190.81/29.80 |
% 190.81/29.80 | ALPHA: (ax12) implies:
% 190.81/29.80 | (17) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (op(e1, e1) = v0 & $i(v0) &
% 190.81/29.80 | ( ~ (v0 = e3) | (op(e3, e1) = v1 & $i(v1) & ( ~ (v1 = e2) | ( ~ (v2
% 190.81/29.80 | = e0) & op(e2, e3) = v2 & $i(v2))))))
% 190.81/29.80 |
% 190.81/29.80 | ALPHA: (ax13) implies:
% 190.81/29.80 | (18) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (op(e1, e1) = v0 & $i(v0) &
% 190.81/29.80 | ( ~ (v0 = e2) | (op(e2, e1) = v1 & $i(v1) & ( ~ (v1 = e3) | ( ~ (v2
% 190.81/29.80 | = e0) & op(e3, e2) = v2 & $i(v2))))))
% 190.81/29.80 |
% 190.81/29.80 | ALPHA: (ax14) implies:
% 190.81/29.80 | (19) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (op(e1, e1) = v0 & $i(v0) &
% 190.81/29.80 | ( ~ (v0 = e3) | (op(e3, e1) = v1 & $i(v1) & ( ~ (v1 = e0) | ( ~ (v2
% 190.81/29.80 | = e2) & op(e0, e3) = v2 & $i(v2))))))
% 190.81/29.80 |
% 190.81/29.80 | ALPHA: (ax15) implies:
% 190.81/29.81 | (20) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (op(e1, e1) = v0 & $i(v0) &
% 190.81/29.81 | ( ~ (v0 = e0) | (op(e0, e1) = v1 & $i(v1) & ( ~ (v1 = e3) | ( ~ (v2
% 190.81/29.81 | = e2) & op(e3, e0) = v2 & $i(v2))))))
% 190.81/29.81 |
% 190.81/29.81 | ALPHA: (ax16) implies:
% 190.81/29.81 | (21) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (op(e1, e1) = v0 & $i(v0) &
% 190.81/29.81 | ( ~ (v0 = e2) | (op(e2, e1) = v1 & $i(v1) & ( ~ (v1 = e0) | ( ~ (v2
% 190.81/29.81 | = e3) & op(e0, e2) = v2 & $i(v2))))))
% 190.81/29.81 |
% 190.81/29.81 | ALPHA: (ax17) implies:
% 190.81/29.81 | (22) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (op(e1, e1) = v0 & $i(v0) &
% 190.81/29.81 | ( ~ (v0 = e0) | (op(e0, e1) = v1 & $i(v1) & ( ~ (v1 = e2) | ( ~ (v2
% 190.81/29.81 | = e3) & op(e2, e0) = v2 & $i(v2))))))
% 190.81/29.81 |
% 190.81/29.81 | ALPHA: (ax18) implies:
% 190.81/29.81 | (23) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (op(e2, e2) = v0 & $i(v0) &
% 190.81/29.81 | ( ~ (v0 = e3) | (op(e3, e2) = v1 & $i(v1) & ( ~ (v1 = e1) | ( ~ (v2
% 190.81/29.81 | = e0) & op(e1, e3) = v2 & $i(v2))))))
% 190.81/29.81 |
% 190.81/29.81 | ALPHA: (ax19) implies:
% 190.81/29.81 | (24) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (op(e2, e2) = v0 & $i(v0) &
% 190.81/29.81 | ( ~ (v0 = e1) | (op(e1, e2) = v1 & $i(v1) & ( ~ (v1 = e3) | ( ~ (v2
% 190.81/29.81 | = e0) & op(e3, e1) = v2 & $i(v2))))))
% 190.81/29.81 |
% 190.81/29.81 | ALPHA: (ax20) implies:
% 190.81/29.81 | (25) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (op(e2, e2) = v0 & $i(v0) &
% 190.81/29.81 | ( ~ (v0 = e3) | (op(e3, e2) = v1 & $i(v1) & ( ~ (v1 = e0) | ( ~ (v2
% 190.81/29.81 | = e1) & op(e0, e3) = v2 & $i(v2))))))
% 190.81/29.81 |
% 190.81/29.81 | ALPHA: (ax21) implies:
% 190.81/29.81 | (26) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (op(e2, e2) = v0 & $i(v0) &
% 190.81/29.81 | ( ~ (v0 = e0) | (op(e0, e2) = v1 & $i(v1) & ( ~ (v1 = e3) | ( ~ (v2
% 190.81/29.81 | = e1) & op(e3, e0) = v2 & $i(v2))))))
% 190.81/29.81 |
% 190.81/29.81 | ALPHA: (ax22) implies:
% 190.81/29.81 | (27) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (op(e2, e2) = v0 & $i(v0) &
% 190.81/29.81 | ( ~ (v0 = e1) | (op(e1, e2) = v1 & $i(v1) & ( ~ (v1 = e0) | ( ~ (v2
% 190.81/29.81 | = e3) & op(e0, e1) = v2 & $i(v2))))))
% 190.81/29.81 |
% 190.81/29.81 | ALPHA: (ax23) implies:
% 190.81/29.81 | (28) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (op(e2, e2) = v0 & $i(v0) &
% 190.81/29.81 | ( ~ (v0 = e0) | (op(e0, e2) = v1 & $i(v1) & ( ~ (v1 = e1) | ( ~ (v2
% 190.81/29.81 | = e3) & op(e1, e0) = v2 & $i(v2))))))
% 190.81/29.81 |
% 190.81/29.81 | ALPHA: (ax24) implies:
% 190.81/29.81 | (29) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (op(e3, e3) = v0 & $i(v0) &
% 190.81/29.81 | ( ~ (v0 = e2) | (op(e2, e3) = v1 & $i(v1) & ( ~ (v1 = e1) | ( ~ (v2
% 190.81/29.81 | = e0) & op(e1, e2) = v2 & $i(v2))))))
% 190.81/29.81 |
% 190.81/29.81 | ALPHA: (ax25) implies:
% 190.81/29.81 | (30) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (op(e3, e3) = v0 & $i(v0) &
% 190.81/29.81 | ( ~ (v0 = e1) | (op(e1, e3) = v1 & $i(v1) & ( ~ (v1 = e2) | ( ~ (v2
% 190.81/29.81 | = e0) & op(e2, e1) = v2 & $i(v2))))))
% 190.81/29.81 |
% 190.81/29.81 | ALPHA: (ax26) implies:
% 190.81/29.81 | (31) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (op(e3, e3) = v0 & $i(v0) &
% 190.81/29.81 | ( ~ (v0 = e2) | (op(e2, e3) = v1 & $i(v1) & ( ~ (v1 = e0) | ( ~ (v2
% 190.81/29.81 | = e1) & op(e0, e2) = v2 & $i(v2))))))
% 190.81/29.81 |
% 190.81/29.81 | ALPHA: (ax27) implies:
% 190.81/29.81 | (32) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (op(e3, e3) = v0 & $i(v0) &
% 190.81/29.81 | ( ~ (v0 = e0) | (op(e0, e3) = v1 & $i(v1) & ( ~ (v1 = e2) | ( ~ (v2
% 190.81/29.81 | = e1) & op(e2, e0) = v2 & $i(v2))))))
% 190.81/29.81 |
% 190.81/29.81 | ALPHA: (ax28) implies:
% 190.81/29.81 | (33) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (op(e3, e3) = v0 & $i(v0) &
% 190.81/29.81 | ( ~ (v0 = e1) | (op(e1, e3) = v1 & $i(v1) & ( ~ (v1 = e0) | ( ~ (v2
% 190.81/29.81 | = e2) & op(e0, e1) = v2 & $i(v2))))))
% 190.81/29.81 |
% 190.81/29.81 | ALPHA: (ax29) implies:
% 190.81/29.82 | (34) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (op(e3, e3) = v0 & $i(v0) &
% 190.81/29.82 | ( ~ (v0 = e0) | (op(e0, e3) = v1 & $i(v1) & ( ~ (v1 = e1) | ( ~ (v2
% 190.81/29.82 | = e2) & op(e1, e0) = v2 & $i(v2))))))
% 190.81/29.82 |
% 190.81/29.82 | DELTA: instantiating (20) with fresh symbols all_4_0, all_4_1, all_4_2 gives:
% 190.81/29.82 | (35) op(e1, e1) = all_4_2 & $i(all_4_2) & ( ~ (all_4_2 = e0) | (op(e0, e1)
% 190.81/29.82 | = all_4_1 & $i(all_4_1) & ( ~ (all_4_1 = e3) | ( ~ (all_4_0 = e2)
% 190.81/29.82 | & op(e3, e0) = all_4_0 & $i(all_4_0)))))
% 190.81/29.82 |
% 190.81/29.82 | ALPHA: (35) implies:
% 190.81/29.82 | (36) op(e1, e1) = all_4_2
% 190.81/29.82 | (37) ~ (all_4_2 = e0) | (op(e0, e1) = all_4_1 & $i(all_4_1) & ( ~ (all_4_1
% 190.81/29.82 | = e3) | ( ~ (all_4_0 = e2) & op(e3, e0) = all_4_0 &
% 190.81/29.82 | $i(all_4_0))))
% 190.81/29.82 |
% 190.81/29.82 | DELTA: instantiating (27) with fresh symbols all_6_0, all_6_1, all_6_2 gives:
% 190.81/29.82 | (38) op(e2, e2) = all_6_2 & $i(all_6_2) & ( ~ (all_6_2 = e1) | (op(e1, e2)
% 190.81/29.82 | = all_6_1 & $i(all_6_1) & ( ~ (all_6_1 = e0) | ( ~ (all_6_0 = e3)
% 190.81/29.82 | & op(e0, e1) = all_6_0 & $i(all_6_0)))))
% 190.81/29.82 |
% 190.81/29.82 | ALPHA: (38) implies:
% 190.81/29.82 | (39) op(e2, e2) = all_6_2
% 190.81/29.82 | (40) ~ (all_6_2 = e1) | (op(e1, e2) = all_6_1 & $i(all_6_1) & ( ~ (all_6_1
% 190.81/29.82 | = e0) | ( ~ (all_6_0 = e3) & op(e0, e1) = all_6_0 &
% 190.81/29.82 | $i(all_6_0))))
% 190.81/29.82 |
% 190.81/29.82 | DELTA: instantiating (21) with fresh symbols all_8_0, all_8_1, all_8_2 gives:
% 190.81/29.82 | (41) op(e1, e1) = all_8_2 & $i(all_8_2) & ( ~ (all_8_2 = e2) | (op(e2, e1)
% 190.81/29.82 | = all_8_1 & $i(all_8_1) & ( ~ (all_8_1 = e0) | ( ~ (all_8_0 = e3)
% 190.81/29.82 | & op(e0, e2) = all_8_0 & $i(all_8_0)))))
% 190.81/29.82 |
% 190.81/29.82 | ALPHA: (41) implies:
% 190.81/29.82 | (42) op(e1, e1) = all_8_2
% 190.81/29.82 | (43) ~ (all_8_2 = e2) | (op(e2, e1) = all_8_1 & $i(all_8_1) & ( ~ (all_8_1
% 190.81/29.82 | = e0) | ( ~ (all_8_0 = e3) & op(e0, e2) = all_8_0 &
% 190.81/29.82 | $i(all_8_0))))
% 190.81/29.82 |
% 190.81/29.82 | DELTA: instantiating (11) with fresh symbols all_10_0, all_10_1, all_10_2
% 190.81/29.82 | gives:
% 190.81/29.82 | (44) op(e0, e0) = all_10_2 & $i(all_10_2) & ( ~ (all_10_2 = e3) | (op(e3,
% 190.81/29.82 | e0) = all_10_1 & $i(all_10_1) & ( ~ (all_10_1 = e2) | ( ~
% 190.81/29.82 | (all_10_0 = e1) & op(e2, e3) = all_10_0 & $i(all_10_0)))))
% 190.81/29.82 |
% 190.81/29.82 | ALPHA: (44) implies:
% 190.81/29.82 | (45) op(e0, e0) = all_10_2
% 190.81/29.82 | (46) ~ (all_10_2 = e3) | (op(e3, e0) = all_10_1 & $i(all_10_1) & ( ~
% 190.81/29.82 | (all_10_1 = e2) | ( ~ (all_10_0 = e1) & op(e2, e3) = all_10_0 &
% 190.81/29.82 | $i(all_10_0))))
% 190.81/29.82 |
% 190.81/29.82 | DELTA: instantiating (22) with fresh symbols all_12_0, all_12_1, all_12_2
% 190.81/29.82 | gives:
% 190.81/29.82 | (47) op(e1, e1) = all_12_2 & $i(all_12_2) & ( ~ (all_12_2 = e0) | (op(e0,
% 190.81/29.82 | e1) = all_12_1 & $i(all_12_1) & ( ~ (all_12_1 = e2) | ( ~
% 190.81/29.82 | (all_12_0 = e3) & op(e2, e0) = all_12_0 & $i(all_12_0)))))
% 190.81/29.82 |
% 190.81/29.82 | ALPHA: (47) implies:
% 190.81/29.82 | (48) op(e1, e1) = all_12_2
% 190.81/29.82 | (49) ~ (all_12_2 = e0) | (op(e0, e1) = all_12_1 & $i(all_12_1) & ( ~
% 190.81/29.82 | (all_12_1 = e2) | ( ~ (all_12_0 = e3) & op(e2, e0) = all_12_0 &
% 190.81/29.82 | $i(all_12_0))))
% 190.81/29.82 |
% 190.81/29.82 | DELTA: instantiating (29) with fresh symbols all_14_0, all_14_1, all_14_2
% 190.81/29.82 | gives:
% 190.81/29.82 | (50) op(e3, e3) = all_14_2 & $i(all_14_2) & ( ~ (all_14_2 = e2) | (op(e2,
% 190.81/29.82 | e3) = all_14_1 & $i(all_14_1) & ( ~ (all_14_1 = e1) | ( ~
% 190.81/29.82 | (all_14_0 = e0) & op(e1, e2) = all_14_0 & $i(all_14_0)))))
% 190.81/29.82 |
% 190.81/29.82 | ALPHA: (50) implies:
% 190.81/29.82 | (51) op(e3, e3) = all_14_2
% 190.81/29.82 | (52) ~ (all_14_2 = e2) | (op(e2, e3) = all_14_1 & $i(all_14_1) & ( ~
% 190.81/29.82 | (all_14_1 = e1) | ( ~ (all_14_0 = e0) & op(e1, e2) = all_14_0 &
% 190.81/29.82 | $i(all_14_0))))
% 190.81/29.82 |
% 190.81/29.82 | DELTA: instantiating (23) with fresh symbols all_16_0, all_16_1, all_16_2
% 190.81/29.82 | gives:
% 190.81/29.82 | (53) op(e2, e2) = all_16_2 & $i(all_16_2) & ( ~ (all_16_2 = e3) | (op(e3,
% 190.81/29.82 | e2) = all_16_1 & $i(all_16_1) & ( ~ (all_16_1 = e1) | ( ~
% 190.81/29.82 | (all_16_0 = e0) & op(e1, e3) = all_16_0 & $i(all_16_0)))))
% 190.81/29.82 |
% 190.81/29.82 | ALPHA: (53) implies:
% 190.81/29.82 | (54) op(e2, e2) = all_16_2
% 190.81/29.82 | (55) ~ (all_16_2 = e3) | (op(e3, e2) = all_16_1 & $i(all_16_1) & ( ~
% 190.81/29.82 | (all_16_1 = e1) | ( ~ (all_16_0 = e0) & op(e1, e3) = all_16_0 &
% 190.81/29.82 | $i(all_16_0))))
% 190.81/29.82 |
% 190.81/29.82 | DELTA: instantiating (24) with fresh symbols all_18_0, all_18_1, all_18_2
% 190.81/29.82 | gives:
% 190.81/29.83 | (56) op(e2, e2) = all_18_2 & $i(all_18_2) & ( ~ (all_18_2 = e1) | (op(e1,
% 190.81/29.83 | e2) = all_18_1 & $i(all_18_1) & ( ~ (all_18_1 = e3) | ( ~
% 190.81/29.83 | (all_18_0 = e0) & op(e3, e1) = all_18_0 & $i(all_18_0)))))
% 190.81/29.83 |
% 190.81/29.83 | ALPHA: (56) implies:
% 190.81/29.83 | (57) op(e2, e2) = all_18_2
% 190.81/29.83 | (58) ~ (all_18_2 = e1) | (op(e1, e2) = all_18_1 & $i(all_18_1) & ( ~
% 190.81/29.83 | (all_18_1 = e3) | ( ~ (all_18_0 = e0) & op(e3, e1) = all_18_0 &
% 190.81/29.83 | $i(all_18_0))))
% 190.81/29.83 |
% 190.81/29.83 | DELTA: instantiating (26) with fresh symbols all_20_0, all_20_1, all_20_2
% 190.81/29.83 | gives:
% 190.81/29.83 | (59) op(e2, e2) = all_20_2 & $i(all_20_2) & ( ~ (all_20_2 = e0) | (op(e0,
% 190.81/29.83 | e2) = all_20_1 & $i(all_20_1) & ( ~ (all_20_1 = e3) | ( ~
% 190.81/29.83 | (all_20_0 = e1) & op(e3, e0) = all_20_0 & $i(all_20_0)))))
% 190.81/29.83 |
% 190.81/29.83 | ALPHA: (59) implies:
% 190.81/29.83 | (60) op(e2, e2) = all_20_2
% 190.81/29.83 | (61) ~ (all_20_2 = e0) | (op(e0, e2) = all_20_1 & $i(all_20_1) & ( ~
% 190.81/29.83 | (all_20_1 = e3) | ( ~ (all_20_0 = e1) & op(e3, e0) = all_20_0 &
% 190.81/29.83 | $i(all_20_0))))
% 190.81/29.83 |
% 190.81/29.83 | DELTA: instantiating (31) with fresh symbols all_22_0, all_22_1, all_22_2
% 190.81/29.83 | gives:
% 190.81/29.83 | (62) op(e3, e3) = all_22_2 & $i(all_22_2) & ( ~ (all_22_2 = e2) | (op(e2,
% 190.81/29.83 | e3) = all_22_1 & $i(all_22_1) & ( ~ (all_22_1 = e0) | ( ~
% 190.81/29.83 | (all_22_0 = e1) & op(e0, e2) = all_22_0 & $i(all_22_0)))))
% 190.81/29.83 |
% 190.81/29.83 | ALPHA: (62) implies:
% 190.81/29.83 | (63) op(e3, e3) = all_22_2
% 190.81/29.83 | (64) ~ (all_22_2 = e2) | (op(e2, e3) = all_22_1 & $i(all_22_1) & ( ~
% 190.81/29.83 | (all_22_1 = e0) | ( ~ (all_22_0 = e1) & op(e0, e2) = all_22_0 &
% 190.81/29.83 | $i(all_22_0))))
% 190.81/29.83 |
% 190.81/29.83 | DELTA: instantiating (13) with fresh symbols all_24_0, all_24_1, all_24_2
% 190.81/29.83 | gives:
% 190.81/29.83 | (65) op(e0, e0) = all_24_2 & $i(all_24_2) & ( ~ (all_24_2 = e3) | (op(e3,
% 190.81/29.83 | e0) = all_24_1 & $i(all_24_1) & ( ~ (all_24_1 = e1) | ( ~
% 190.81/29.83 | (all_24_0 = e2) & op(e1, e3) = all_24_0 & $i(all_24_0)))))
% 190.81/29.83 |
% 190.81/29.83 | ALPHA: (65) implies:
% 190.81/29.83 | (66) op(e0, e0) = all_24_2
% 190.81/29.83 | (67) ~ (all_24_2 = e3) | (op(e3, e0) = all_24_1 & $i(all_24_1) & ( ~
% 190.81/29.83 | (all_24_1 = e1) | ( ~ (all_24_0 = e2) & op(e1, e3) = all_24_0 &
% 190.81/29.83 | $i(all_24_0))))
% 190.81/29.83 |
% 190.81/29.83 | DELTA: instantiating (28) with fresh symbols all_26_0, all_26_1, all_26_2
% 190.81/29.83 | gives:
% 190.81/29.83 | (68) op(e2, e2) = all_26_2 & $i(all_26_2) & ( ~ (all_26_2 = e0) | (op(e0,
% 190.81/29.83 | e2) = all_26_1 & $i(all_26_1) & ( ~ (all_26_1 = e1) | ( ~
% 190.81/29.83 | (all_26_0 = e3) & op(e1, e0) = all_26_0 & $i(all_26_0)))))
% 190.81/29.83 |
% 190.81/29.83 | ALPHA: (68) implies:
% 190.81/29.83 | (69) op(e2, e2) = all_26_2
% 190.81/29.83 | (70) ~ (all_26_2 = e0) | (op(e0, e2) = all_26_1 & $i(all_26_1) & ( ~
% 190.81/29.83 | (all_26_1 = e1) | ( ~ (all_26_0 = e3) & op(e1, e0) = all_26_0 &
% 190.81/29.83 | $i(all_26_0))))
% 190.81/29.83 |
% 190.81/29.83 | DELTA: instantiating (30) with fresh symbols all_28_0, all_28_1, all_28_2
% 190.81/29.83 | gives:
% 190.81/29.83 | (71) op(e3, e3) = all_28_2 & $i(all_28_2) & ( ~ (all_28_2 = e1) | (op(e1,
% 190.81/29.83 | e3) = all_28_1 & $i(all_28_1) & ( ~ (all_28_1 = e2) | ( ~
% 190.81/29.83 | (all_28_0 = e0) & op(e2, e1) = all_28_0 & $i(all_28_0)))))
% 190.81/29.83 |
% 190.81/29.83 | ALPHA: (71) implies:
% 190.81/29.83 | (72) op(e3, e3) = all_28_2
% 190.81/29.83 | (73) ~ (all_28_2 = e1) | (op(e1, e3) = all_28_1 & $i(all_28_1) & ( ~
% 190.81/29.83 | (all_28_1 = e2) | ( ~ (all_28_0 = e0) & op(e2, e1) = all_28_0 &
% 190.81/29.83 | $i(all_28_0))))
% 190.81/29.83 |
% 190.81/29.83 | DELTA: instantiating (12) with fresh symbols all_30_0, all_30_1, all_30_2
% 190.81/29.83 | gives:
% 190.81/29.83 | (74) op(e0, e0) = all_30_2 & $i(all_30_2) & ( ~ (all_30_2 = e2) | (op(e2,
% 190.81/29.83 | e0) = all_30_1 & $i(all_30_1) & ( ~ (all_30_1 = e3) | ( ~
% 190.81/29.83 | (all_30_0 = e1) & op(e3, e2) = all_30_0 & $i(all_30_0)))))
% 190.81/29.83 |
% 190.81/29.83 | ALPHA: (74) implies:
% 190.81/29.83 | (75) op(e0, e0) = all_30_2
% 190.81/29.83 | (76) ~ (all_30_2 = e2) | (op(e2, e0) = all_30_1 & $i(all_30_1) & ( ~
% 190.81/29.83 | (all_30_1 = e3) | ( ~ (all_30_0 = e1) & op(e3, e2) = all_30_0 &
% 190.81/29.83 | $i(all_30_0))))
% 190.81/29.83 |
% 190.81/29.83 | DELTA: instantiating (19) with fresh symbols all_32_0, all_32_1, all_32_2
% 190.81/29.83 | gives:
% 190.81/29.83 | (77) op(e1, e1) = all_32_2 & $i(all_32_2) & ( ~ (all_32_2 = e3) | (op(e3,
% 190.81/29.83 | e1) = all_32_1 & $i(all_32_1) & ( ~ (all_32_1 = e0) | ( ~
% 190.81/29.83 | (all_32_0 = e2) & op(e0, e3) = all_32_0 & $i(all_32_0)))))
% 190.81/29.83 |
% 190.81/29.83 | ALPHA: (77) implies:
% 190.81/29.83 | (78) op(e1, e1) = all_32_2
% 190.81/29.83 | (79) ~ (all_32_2 = e3) | (op(e3, e1) = all_32_1 & $i(all_32_1) & ( ~
% 190.81/29.83 | (all_32_1 = e0) | ( ~ (all_32_0 = e2) & op(e0, e3) = all_32_0 &
% 190.81/29.83 | $i(all_32_0))))
% 190.81/29.83 |
% 190.81/29.83 | DELTA: instantiating (32) with fresh symbols all_34_0, all_34_1, all_34_2
% 190.81/29.83 | gives:
% 190.81/29.83 | (80) op(e3, e3) = all_34_2 & $i(all_34_2) & ( ~ (all_34_2 = e0) | (op(e0,
% 190.81/29.83 | e3) = all_34_1 & $i(all_34_1) & ( ~ (all_34_1 = e2) | ( ~
% 190.81/29.83 | (all_34_0 = e1) & op(e2, e0) = all_34_0 & $i(all_34_0)))))
% 190.81/29.83 |
% 190.81/29.83 | ALPHA: (80) implies:
% 190.81/29.83 | (81) op(e3, e3) = all_34_2
% 190.81/29.83 | (82) ~ (all_34_2 = e0) | (op(e0, e3) = all_34_1 & $i(all_34_1) & ( ~
% 190.81/29.83 | (all_34_1 = e2) | ( ~ (all_34_0 = e1) & op(e2, e0) = all_34_0 &
% 190.81/29.83 | $i(all_34_0))))
% 190.81/29.83 |
% 190.81/29.83 | DELTA: instantiating (33) with fresh symbols all_36_0, all_36_1, all_36_2
% 190.81/29.83 | gives:
% 190.81/29.84 | (83) op(e3, e3) = all_36_2 & $i(all_36_2) & ( ~ (all_36_2 = e1) | (op(e1,
% 190.81/29.84 | e3) = all_36_1 & $i(all_36_1) & ( ~ (all_36_1 = e0) | ( ~
% 190.81/29.84 | (all_36_0 = e2) & op(e0, e1) = all_36_0 & $i(all_36_0)))))
% 190.81/29.84 |
% 190.81/29.84 | ALPHA: (83) implies:
% 190.81/29.84 | (84) op(e3, e3) = all_36_2
% 190.81/29.84 | (85) ~ (all_36_2 = e1) | (op(e1, e3) = all_36_1 & $i(all_36_1) & ( ~
% 190.81/29.84 | (all_36_1 = e0) | ( ~ (all_36_0 = e2) & op(e0, e1) = all_36_0 &
% 190.81/29.84 | $i(all_36_0))))
% 190.81/29.84 |
% 190.81/29.84 | DELTA: instantiating (25) with fresh symbols all_38_0, all_38_1, all_38_2
% 190.81/29.84 | gives:
% 190.81/29.84 | (86) op(e2, e2) = all_38_2 & $i(all_38_2) & ( ~ (all_38_2 = e3) | (op(e3,
% 190.81/29.84 | e2) = all_38_1 & $i(all_38_1) & ( ~ (all_38_1 = e0) | ( ~
% 190.81/29.84 | (all_38_0 = e1) & op(e0, e3) = all_38_0 & $i(all_38_0)))))
% 190.81/29.84 |
% 190.81/29.84 | ALPHA: (86) implies:
% 190.81/29.84 | (87) op(e2, e2) = all_38_2
% 190.81/29.84 | (88) ~ (all_38_2 = e3) | (op(e3, e2) = all_38_1 & $i(all_38_1) & ( ~
% 190.81/29.84 | (all_38_1 = e0) | ( ~ (all_38_0 = e1) & op(e0, e3) = all_38_0 &
% 190.81/29.84 | $i(all_38_0))))
% 190.81/29.84 |
% 190.81/29.84 | DELTA: instantiating (14) with fresh symbols all_40_0, all_40_1, all_40_2
% 190.81/29.84 | gives:
% 190.81/29.84 | (89) op(e0, e0) = all_40_2 & $i(all_40_2) & ( ~ (all_40_2 = e1) | (op(e1,
% 190.81/29.84 | e0) = all_40_1 & $i(all_40_1) & ( ~ (all_40_1 = e3) | ( ~
% 190.81/29.84 | (all_40_0 = e2) & op(e3, e1) = all_40_0 & $i(all_40_0)))))
% 190.81/29.84 |
% 190.81/29.84 | ALPHA: (89) implies:
% 190.81/29.84 | (90) op(e0, e0) = all_40_2
% 190.81/29.84 | (91) ~ (all_40_2 = e1) | (op(e1, e0) = all_40_1 & $i(all_40_1) & ( ~
% 190.81/29.84 | (all_40_1 = e3) | ( ~ (all_40_0 = e2) & op(e3, e1) = all_40_0 &
% 190.81/29.84 | $i(all_40_0))))
% 190.81/29.84 |
% 190.81/29.84 | DELTA: instantiating (15) with fresh symbols all_42_0, all_42_1, all_42_2
% 190.81/29.84 | gives:
% 190.81/29.84 | (92) op(e0, e0) = all_42_2 & $i(all_42_2) & ( ~ (all_42_2 = e2) | (op(e2,
% 190.81/29.84 | e0) = all_42_1 & $i(all_42_1) & ( ~ (all_42_1 = e1) | ( ~
% 190.81/29.84 | (all_42_0 = e3) & op(e1, e2) = all_42_0 & $i(all_42_0)))))
% 190.81/29.84 |
% 190.81/29.84 | ALPHA: (92) implies:
% 190.81/29.84 | (93) op(e0, e0) = all_42_2
% 190.81/29.84 | (94) ~ (all_42_2 = e2) | (op(e2, e0) = all_42_1 & $i(all_42_1) & ( ~
% 190.81/29.84 | (all_42_1 = e1) | ( ~ (all_42_0 = e3) & op(e1, e2) = all_42_0 &
% 190.81/29.84 | $i(all_42_0))))
% 190.81/29.84 |
% 190.81/29.84 | DELTA: instantiating (34) with fresh symbols all_44_0, all_44_1, all_44_2
% 190.81/29.84 | gives:
% 190.81/29.84 | (95) op(e3, e3) = all_44_2 & $i(all_44_2) & ( ~ (all_44_2 = e0) | (op(e0,
% 190.81/29.84 | e3) = all_44_1 & $i(all_44_1) & ( ~ (all_44_1 = e1) | ( ~
% 190.81/29.84 | (all_44_0 = e2) & op(e1, e0) = all_44_0 & $i(all_44_0)))))
% 190.81/29.84 |
% 190.81/29.84 | ALPHA: (95) implies:
% 190.81/29.84 | (96) op(e3, e3) = all_44_2
% 190.81/29.84 | (97) ~ (all_44_2 = e0) | (op(e0, e3) = all_44_1 & $i(all_44_1) & ( ~
% 190.81/29.84 | (all_44_1 = e1) | ( ~ (all_44_0 = e2) & op(e1, e0) = all_44_0 &
% 190.81/29.84 | $i(all_44_0))))
% 190.81/29.84 |
% 190.81/29.84 | DELTA: instantiating (16) with fresh symbols all_46_0, all_46_1, all_46_2
% 190.81/29.84 | gives:
% 190.81/29.84 | (98) op(e0, e0) = all_46_2 & $i(all_46_2) & ( ~ (all_46_2 = e1) | (op(e1,
% 190.81/29.84 | e0) = all_46_1 & $i(all_46_1) & ( ~ (all_46_1 = e2) | ( ~
% 190.81/29.84 | (all_46_0 = e3) & op(e2, e1) = all_46_0 & $i(all_46_0)))))
% 190.81/29.84 |
% 190.81/29.84 | ALPHA: (98) implies:
% 190.81/29.84 | (99) op(e0, e0) = all_46_2
% 190.81/29.84 | (100) ~ (all_46_2 = e1) | (op(e1, e0) = all_46_1 & $i(all_46_1) & ( ~
% 190.81/29.84 | (all_46_1 = e2) | ( ~ (all_46_0 = e3) & op(e2, e1) = all_46_0 &
% 190.81/29.84 | $i(all_46_0))))
% 190.81/29.84 |
% 190.81/29.84 | DELTA: instantiating (18) with fresh symbols all_48_0, all_48_1, all_48_2
% 190.81/29.84 | gives:
% 190.81/29.84 | (101) op(e1, e1) = all_48_2 & $i(all_48_2) & ( ~ (all_48_2 = e2) | (op(e2,
% 190.81/29.84 | e1) = all_48_1 & $i(all_48_1) & ( ~ (all_48_1 = e3) | ( ~
% 190.81/29.84 | (all_48_0 = e0) & op(e3, e2) = all_48_0 & $i(all_48_0)))))
% 190.81/29.84 |
% 190.81/29.84 | ALPHA: (101) implies:
% 190.81/29.84 | (102) op(e1, e1) = all_48_2
% 190.81/29.84 | (103) ~ (all_48_2 = e2) | (op(e2, e1) = all_48_1 & $i(all_48_1) & ( ~
% 190.81/29.84 | (all_48_1 = e3) | ( ~ (all_48_0 = e0) & op(e3, e2) = all_48_0 &
% 190.81/29.84 | $i(all_48_0))))
% 190.81/29.84 |
% 190.81/29.84 | DELTA: instantiating (17) with fresh symbols all_50_0, all_50_1, all_50_2
% 190.81/29.84 | gives:
% 190.81/29.84 | (104) op(e1, e1) = all_50_2 & $i(all_50_2) & ( ~ (all_50_2 = e3) | (op(e3,
% 190.81/29.84 | e1) = all_50_1 & $i(all_50_1) & ( ~ (all_50_1 = e2) | ( ~
% 190.81/29.84 | (all_50_0 = e0) & op(e2, e3) = all_50_0 & $i(all_50_0)))))
% 190.81/29.84 |
% 190.81/29.84 | ALPHA: (104) implies:
% 190.81/29.84 | (105) op(e1, e1) = all_50_2
% 190.81/29.84 | (106) ~ (all_50_2 = e3) | (op(e3, e1) = all_50_1 & $i(all_50_1) & ( ~
% 190.81/29.84 | (all_50_1 = e2) | ( ~ (all_50_0 = e0) & op(e2, e3) = all_50_0 &
% 190.81/29.84 | $i(all_50_0))))
% 190.81/29.84 |
% 190.81/29.84 | DELTA: instantiating (3) with fresh symbols all_52_0, all_52_1, all_52_2,
% 190.81/29.84 | all_52_3, all_52_4, all_52_5, all_52_6, all_52_7, all_52_8, all_52_9,
% 190.81/29.84 | all_52_10, all_52_11, all_52_12, all_52_13, all_52_14, all_52_15 gives:
% 190.81/29.85 | (107) ~ (all_52_0 = all_52_1) & ~ (all_52_0 = all_52_2) & ~ (all_52_0 =
% 190.81/29.85 | all_52_3) & ~ (all_52_0 = all_52_4) & ~ (all_52_0 = all_52_8) &
% 190.81/29.85 | ~ (all_52_0 = all_52_12) & ~ (all_52_1 = all_52_2) & ~ (all_52_1 =
% 190.81/29.85 | all_52_3) & ~ (all_52_1 = all_52_5) & ~ (all_52_1 = all_52_9) &
% 190.81/29.85 | ~ (all_52_1 = all_52_13) & ~ (all_52_2 = all_52_3) & ~ (all_52_2 =
% 190.81/29.85 | all_52_6) & ~ (all_52_2 = all_52_10) & ~ (all_52_2 = all_52_14) &
% 190.81/29.85 | ~ (all_52_3 = all_52_7) & ~ (all_52_3 = all_52_11) & ~ (all_52_3 =
% 190.81/29.85 | all_52_15) & ~ (all_52_4 = all_52_5) & ~ (all_52_4 = all_52_6) &
% 190.81/29.85 | ~ (all_52_4 = all_52_7) & ~ (all_52_4 = all_52_8) & ~ (all_52_4 =
% 190.81/29.85 | all_52_12) & ~ (all_52_5 = all_52_6) & ~ (all_52_5 = all_52_7) &
% 190.81/29.85 | ~ (all_52_5 = all_52_9) & ~ (all_52_5 = all_52_13) & ~ (all_52_6 =
% 190.81/29.85 | all_52_7) & ~ (all_52_6 = all_52_10) & ~ (all_52_6 = all_52_14) &
% 190.81/29.85 | ~ (all_52_7 = all_52_11) & ~ (all_52_7 = all_52_15) & ~ (all_52_8
% 190.81/29.85 | = all_52_9) & ~ (all_52_8 = all_52_10) & ~ (all_52_8 = all_52_11)
% 190.81/29.85 | & ~ (all_52_8 = all_52_12) & ~ (all_52_9 = all_52_10) & ~
% 190.81/29.85 | (all_52_9 = all_52_11) & ~ (all_52_9 = all_52_13) & ~ (all_52_10 =
% 190.81/29.85 | all_52_11) & ~ (all_52_10 = all_52_14) & ~ (all_52_11 =
% 190.81/29.85 | all_52_15) & ~ (all_52_12 = all_52_13) & ~ (all_52_12 =
% 190.81/29.85 | all_52_14) & ~ (all_52_12 = all_52_15) & ~ (all_52_13 =
% 190.81/29.85 | all_52_14) & ~ (all_52_13 = all_52_15) & ~ (all_52_14 =
% 190.81/29.85 | all_52_15) & op(e3, e3) = all_52_0 & op(e3, e2) = all_52_4 & op(e3,
% 190.81/29.85 | e1) = all_52_8 & op(e3, e0) = all_52_12 & op(e2, e3) = all_52_1 &
% 190.81/29.85 | op(e2, e2) = all_52_5 & op(e2, e1) = all_52_9 & op(e2, e0) =
% 190.81/29.85 | all_52_13 & op(e1, e3) = all_52_2 & op(e1, e2) = all_52_6 & op(e1,
% 190.81/29.85 | e1) = all_52_10 & op(e1, e0) = all_52_14 & op(e0, e3) = all_52_3 &
% 190.81/29.85 | op(e0, e2) = all_52_7 & op(e0, e1) = all_52_11 & op(e0, e0) =
% 190.81/29.85 | all_52_15 & $i(all_52_0) & $i(all_52_1) & $i(all_52_2) & $i(all_52_3)
% 190.81/29.85 | & $i(all_52_4) & $i(all_52_5) & $i(all_52_6) & $i(all_52_7) &
% 190.81/29.85 | $i(all_52_8) & $i(all_52_9) & $i(all_52_10) & $i(all_52_11) &
% 190.81/29.85 | $i(all_52_12) & $i(all_52_13) & $i(all_52_14) & $i(all_52_15)
% 190.81/29.85 |
% 190.81/29.85 | ALPHA: (107) implies:
% 190.81/29.85 | (108) ~ (all_52_14 = all_52_15)
% 190.81/29.85 | (109) ~ (all_52_13 = all_52_15)
% 190.81/29.85 | (110) ~ (all_52_13 = all_52_14)
% 190.81/29.85 | (111) ~ (all_52_12 = all_52_15)
% 190.81/29.85 | (112) ~ (all_52_12 = all_52_14)
% 190.81/29.85 | (113) ~ (all_52_12 = all_52_13)
% 190.81/29.85 | (114) ~ (all_52_11 = all_52_15)
% 190.81/29.85 | (115) ~ (all_52_10 = all_52_14)
% 190.81/29.85 | (116) ~ (all_52_10 = all_52_11)
% 190.81/29.85 | (117) ~ (all_52_9 = all_52_13)
% 190.81/29.85 | (118) ~ (all_52_9 = all_52_11)
% 190.81/29.85 | (119) ~ (all_52_9 = all_52_10)
% 190.81/29.85 | (120) ~ (all_52_8 = all_52_12)
% 190.81/29.85 | (121) ~ (all_52_8 = all_52_11)
% 190.81/29.85 | (122) ~ (all_52_8 = all_52_10)
% 190.81/29.85 | (123) ~ (all_52_8 = all_52_9)
% 190.81/29.85 | (124) ~ (all_52_7 = all_52_15)
% 190.81/29.85 | (125) ~ (all_52_7 = all_52_11)
% 190.81/29.85 | (126) ~ (all_52_6 = all_52_14)
% 190.81/29.85 | (127) ~ (all_52_6 = all_52_10)
% 190.81/29.85 | (128) ~ (all_52_6 = all_52_7)
% 190.81/29.85 | (129) ~ (all_52_5 = all_52_13)
% 190.81/29.85 | (130) ~ (all_52_5 = all_52_9)
% 190.81/29.85 | (131) ~ (all_52_5 = all_52_7)
% 190.81/29.85 | (132) ~ (all_52_5 = all_52_6)
% 190.81/29.85 | (133) ~ (all_52_4 = all_52_12)
% 190.81/29.85 | (134) ~ (all_52_4 = all_52_8)
% 190.81/29.85 | (135) ~ (all_52_4 = all_52_7)
% 190.81/29.85 | (136) ~ (all_52_4 = all_52_6)
% 190.81/29.85 | (137) ~ (all_52_4 = all_52_5)
% 190.81/29.85 | (138) ~ (all_52_3 = all_52_15)
% 190.81/29.85 | (139) ~ (all_52_3 = all_52_11)
% 190.81/29.85 | (140) ~ (all_52_3 = all_52_7)
% 190.81/29.85 | (141) ~ (all_52_2 = all_52_14)
% 190.81/29.85 | (142) ~ (all_52_2 = all_52_10)
% 190.81/29.85 | (143) ~ (all_52_2 = all_52_6)
% 190.81/29.85 | (144) ~ (all_52_2 = all_52_3)
% 190.81/29.85 | (145) ~ (all_52_1 = all_52_13)
% 190.81/29.85 | (146) ~ (all_52_1 = all_52_9)
% 190.81/29.85 | (147) ~ (all_52_1 = all_52_5)
% 190.81/29.85 | (148) ~ (all_52_1 = all_52_3)
% 190.81/29.85 | (149) ~ (all_52_1 = all_52_2)
% 190.81/29.85 | (150) ~ (all_52_0 = all_52_12)
% 190.81/29.85 | (151) ~ (all_52_0 = all_52_8)
% 190.81/29.85 | (152) ~ (all_52_0 = all_52_4)
% 190.81/29.85 | (153) ~ (all_52_0 = all_52_3)
% 190.81/29.85 | (154) ~ (all_52_0 = all_52_2)
% 190.81/29.85 | (155) ~ (all_52_0 = all_52_1)
% 190.81/29.85 | (156) op(e0, e0) = all_52_15
% 190.81/29.85 | (157) op(e0, e1) = all_52_11
% 190.81/29.85 | (158) op(e0, e2) = all_52_7
% 190.81/29.85 | (159) op(e0, e3) = all_52_3
% 190.81/29.85 | (160) op(e1, e0) = all_52_14
% 190.81/29.85 | (161) op(e1, e1) = all_52_10
% 190.81/29.85 | (162) op(e1, e2) = all_52_6
% 190.81/29.85 | (163) op(e1, e3) = all_52_2
% 190.81/29.85 | (164) op(e2, e0) = all_52_13
% 190.81/29.85 | (165) op(e2, e1) = all_52_9
% 190.81/29.85 | (166) op(e2, e2) = all_52_5
% 190.81/29.85 | (167) op(e2, e3) = all_52_1
% 190.81/29.85 | (168) op(e3, e0) = all_52_12
% 190.81/29.85 | (169) op(e3, e1) = all_52_8
% 190.81/29.85 | (170) op(e3, e2) = all_52_4
% 190.81/29.85 | (171) op(e3, e3) = all_52_0
% 190.81/29.85 |
% 190.81/29.85 | DELTA: instantiating (1) with fresh symbols all_54_0, all_54_1, all_54_2,
% 190.81/29.85 | all_54_3, all_54_4, all_54_5, all_54_6, all_54_7, all_54_8, all_54_9,
% 190.81/29.85 | all_54_10, all_54_11, all_54_12, all_54_13, all_54_14, all_54_15 gives:
% 190.81/29.86 | (172) op(e3, e3) = all_54_0 & op(e3, e2) = all_54_1 & op(e3, e1) = all_54_2
% 190.81/29.86 | & op(e3, e0) = all_54_3 & op(e2, e3) = all_54_4 & op(e2, e2) =
% 190.81/29.86 | all_54_5 & op(e2, e1) = all_54_6 & op(e2, e0) = all_54_7 & op(e1, e3)
% 190.81/29.86 | = all_54_8 & op(e1, e2) = all_54_9 & op(e1, e1) = all_54_10 & op(e1,
% 190.81/29.86 | e0) = all_54_11 & op(e0, e3) = all_54_12 & op(e0, e2) = all_54_13 &
% 190.81/29.86 | op(e0, e1) = all_54_14 & op(e0, e0) = all_54_15 & $i(all_54_0) &
% 190.81/29.86 | $i(all_54_1) & $i(all_54_2) & $i(all_54_3) & $i(all_54_4) &
% 190.81/29.86 | $i(all_54_5) & $i(all_54_6) & $i(all_54_7) & $i(all_54_8) &
% 190.81/29.86 | $i(all_54_9) & $i(all_54_10) & $i(all_54_11) & $i(all_54_12) &
% 190.81/29.86 | $i(all_54_13) & $i(all_54_14) & $i(all_54_15) & (all_54_0 = e3 |
% 190.81/29.86 | all_54_0 = e2 | all_54_0 = e1 | all_54_0 = e0) & (all_54_1 = e3 |
% 190.81/29.86 | all_54_1 = e2 | all_54_1 = e1 | all_54_1 = e0) & (all_54_2 = e3 |
% 190.81/29.86 | all_54_2 = e2 | all_54_2 = e1 | all_54_2 = e0) & (all_54_3 = e3 |
% 190.81/29.86 | all_54_3 = e2 | all_54_3 = e1 | all_54_3 = e0) & (all_54_4 = e3 |
% 190.81/29.86 | all_54_4 = e2 | all_54_4 = e1 | all_54_4 = e0) & (all_54_5 = e3 |
% 190.81/29.86 | all_54_5 = e2 | all_54_5 = e1 | all_54_5 = e0) & (all_54_6 = e3 |
% 190.81/29.86 | all_54_6 = e2 | all_54_6 = e1 | all_54_6 = e0) & (all_54_7 = e3 |
% 190.81/29.86 | all_54_7 = e2 | all_54_7 = e1 | all_54_7 = e0) & (all_54_8 = e3 |
% 190.81/29.86 | all_54_8 = e2 | all_54_8 = e1 | all_54_8 = e0) & (all_54_9 = e3 |
% 190.81/29.86 | all_54_9 = e2 | all_54_9 = e1 | all_54_9 = e0) & (all_54_10 = e3 |
% 190.81/29.86 | all_54_10 = e2 | all_54_10 = e1 | all_54_10 = e0) & (all_54_11 = e3
% 190.81/29.86 | | all_54_11 = e2 | all_54_11 = e1 | all_54_11 = e0) & (all_54_12 =
% 190.81/29.86 | e3 | all_54_12 = e2 | all_54_12 = e1 | all_54_12 = e0) & (all_54_13
% 190.81/29.86 | = e3 | all_54_13 = e2 | all_54_13 = e1 | all_54_13 = e0) &
% 190.81/29.86 | (all_54_14 = e3 | all_54_14 = e2 | all_54_14 = e1 | all_54_14 = e0) &
% 190.81/29.86 | (all_54_15 = e3 | all_54_15 = e2 | all_54_15 = e1 | all_54_15 = e0)
% 190.81/29.86 |
% 190.81/29.86 | ALPHA: (172) implies:
% 191.09/29.86 | (173) op(e0, e0) = all_54_15
% 191.09/29.86 | (174) op(e0, e1) = all_54_14
% 191.09/29.86 | (175) op(e0, e2) = all_54_13
% 191.09/29.86 | (176) op(e0, e3) = all_54_12
% 191.09/29.86 | (177) op(e1, e0) = all_54_11
% 191.09/29.86 | (178) op(e1, e1) = all_54_10
% 191.09/29.86 | (179) op(e1, e2) = all_54_9
% 191.09/29.86 | (180) op(e1, e3) = all_54_8
% 191.09/29.86 | (181) op(e2, e0) = all_54_7
% 191.09/29.86 | (182) op(e2, e1) = all_54_6
% 191.09/29.86 | (183) op(e2, e2) = all_54_5
% 191.09/29.86 | (184) op(e2, e3) = all_54_4
% 191.09/29.86 | (185) op(e3, e0) = all_54_3
% 191.09/29.86 | (186) op(e3, e1) = all_54_2
% 191.09/29.86 | (187) op(e3, e2) = all_54_1
% 191.09/29.86 | (188) op(e3, e3) = all_54_0
% 191.09/29.86 | (189) all_54_15 = e3 | all_54_15 = e2 | all_54_15 = e1 | all_54_15 = e0
% 191.09/29.86 | (190) all_54_14 = e3 | all_54_14 = e2 | all_54_14 = e1 | all_54_14 = e0
% 191.09/29.86 | (191) all_54_13 = e3 | all_54_13 = e2 | all_54_13 = e1 | all_54_13 = e0
% 191.09/29.86 | (192) all_54_12 = e3 | all_54_12 = e2 | all_54_12 = e1 | all_54_12 = e0
% 191.09/29.86 | (193) all_54_11 = e3 | all_54_11 = e2 | all_54_11 = e1 | all_54_11 = e0
% 191.09/29.86 | (194) all_54_10 = e3 | all_54_10 = e2 | all_54_10 = e1 | all_54_10 = e0
% 191.09/29.86 | (195) all_54_9 = e3 | all_54_9 = e2 | all_54_9 = e1 | all_54_9 = e0
% 191.09/29.86 | (196) all_54_8 = e3 | all_54_8 = e2 | all_54_8 = e1 | all_54_8 = e0
% 191.09/29.86 | (197) all_54_7 = e3 | all_54_7 = e2 | all_54_7 = e1 | all_54_7 = e0
% 191.09/29.86 | (198) all_54_6 = e3 | all_54_6 = e2 | all_54_6 = e1 | all_54_6 = e0
% 191.09/29.86 | (199) all_54_5 = e3 | all_54_5 = e2 | all_54_5 = e1 | all_54_5 = e0
% 191.09/29.86 | (200) all_54_4 = e3 | all_54_4 = e2 | all_54_4 = e1 | all_54_4 = e0
% 191.11/29.86 | (201) all_54_3 = e3 | all_54_3 = e2 | all_54_3 = e1 | all_54_3 = e0
% 191.11/29.86 | (202) all_54_2 = e3 | all_54_2 = e2 | all_54_2 = e1 | all_54_2 = e0
% 191.11/29.86 | (203) all_54_1 = e3 | all_54_1 = e2 | all_54_1 = e1 | all_54_1 = e0
% 191.11/29.86 | (204) all_54_0 = e3 | all_54_0 = e2 | all_54_0 = e1 | all_54_0 = e0
% 191.11/29.86 |
% 191.11/29.86 | DELTA: instantiating (2) with fresh symbols all_56_0, all_56_1, all_56_2,
% 191.11/29.86 | all_56_3, all_56_4, all_56_5, all_56_6, all_56_7, all_56_8, all_56_9,
% 191.11/29.86 | all_56_10, all_56_11, all_56_12, all_56_13, all_56_14, all_56_15 gives:
% 191.11/29.87 | (205) ((all_56_0 = e3 & op(e3, e3) = e3) | (all_56_1 = e3 & op(e3, e2) =
% 191.11/29.87 | e3) | (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_9 = e3 & op(e3,
% 191.11/29.87 | e0) = e3)) & ((all_56_0 = e3 & op(e3, e3) = e3) | (all_56_2 =
% 191.11/29.87 | e3 & op(e2, e3) = e3) | (all_56_6 = e3 & op(e1, e3) = e3) |
% 191.11/29.87 | (all_56_12 = e3 & op(e0, e3) = e3)) & ((all_56_0 = e2 & op(e3, e3)
% 191.11/29.87 | = e2) | (all_56_1 = e2 & op(e3, e2) = e2) | (all_56_4 = e2 &
% 191.11/29.87 | op(e3, e1) = e2) | (all_56_9 = e2 & op(e3, e0) = e2)) &
% 191.11/29.87 | ((all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2 & op(e2, e3) =
% 191.11/29.87 | e2) | (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_12 = e2 &
% 191.11/29.87 | op(e0, e3) = e2)) & ((all_56_0 = e1 & op(e3, e3) = e1) |
% 191.11/29.87 | (all_56_1 = e1 & op(e3, e2) = e1) | (all_56_4 = e1 & op(e3, e1) =
% 191.11/29.87 | e1) | (all_56_9 = e1 & op(e3, e0) = e1)) & ((all_56_0 = e1 &
% 191.11/29.87 | op(e3, e3) = e1) | (all_56_2 = e1 & op(e2, e3) = e1) | (all_56_6
% 191.11/29.87 | = e1 & op(e1, e3) = e1) | (all_56_12 = e1 & op(e0, e3) = e1)) &
% 191.11/29.87 | ((all_56_0 = e0 & op(e3, e3) = e0) | (all_56_1 = e0 & op(e3, e2) =
% 191.11/29.87 | e0) | (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_9 = e0 & op(e3,
% 191.11/29.87 | e0) = e0)) & ((all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 =
% 191.11/29.87 | e0 & op(e2, e3) = e0) | (all_56_6 = e0 & op(e1, e3) = e0) |
% 191.11/29.87 | (all_56_12 = e0 & op(e0, e3) = e0)) & ((all_56_1 = e3 & op(e3, e2)
% 191.11/29.87 | = e3) | (all_56_3 = e3 & op(e2, e2) = e3) | (all_56_7 = e3 &
% 191.11/29.87 | op(e1, e2) = e3) | (all_56_13 = e3 & op(e0, e2) = e3)) &
% 191.11/29.87 | ((all_56_1 = e2 & op(e3, e2) = e2) | (all_56_3 = e2 & op(e2, e2) =
% 191.11/29.87 | e2) | (all_56_7 = e2 & op(e1, e2) = e2) | (all_56_13 = e2 &
% 191.11/29.87 | op(e0, e2) = e2)) & ((all_56_1 = e1 & op(e3, e2) = e1) |
% 191.11/29.87 | (all_56_3 = e1 & op(e2, e2) = e1) | (all_56_7 = e1 & op(e1, e2) =
% 191.11/29.87 | e1) | (all_56_13 = e1 & op(e0, e2) = e1)) & ((all_56_1 = e0 &
% 191.11/29.87 | op(e3, e2) = e0) | (all_56_3 = e0 & op(e2, e2) = e0) | (all_56_7
% 191.11/29.87 | = e0 & op(e1, e2) = e0) | (all_56_13 = e0 & op(e0, e2) = e0)) &
% 191.11/29.87 | ((all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3 & op(e2, e2) =
% 191.11/29.87 | e3) | (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 = e3 &
% 191.11/29.87 | op(e2, e0) = e3)) & ((all_56_2 = e2 & op(e2, e3) = e2) |
% 191.11/29.87 | (all_56_3 = e2 & op(e2, e2) = e2) | (all_56_5 = e2 & op(e2, e1) =
% 191.11/29.87 | e2) | (all_56_10 = e2 & op(e2, e0) = e2)) & ((all_56_2 = e1 &
% 191.11/29.87 | op(e2, e3) = e1) | (all_56_3 = e1 & op(e2, e2) = e1) | (all_56_5
% 191.11/29.87 | = e1 & op(e2, e1) = e1) | (all_56_10 = e1 & op(e2, e0) = e1)) &
% 191.11/29.87 | ((all_56_2 = e0 & op(e2, e3) = e0) | (all_56_3 = e0 & op(e2, e2) =
% 191.11/29.87 | e0) | (all_56_5 = e0 & op(e2, e1) = e0) | (all_56_10 = e0 &
% 191.11/29.87 | op(e2, e0) = e0)) & ((all_56_4 = e3 & op(e3, e1) = e3) |
% 191.11/29.87 | (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_8 = e3 & op(e1, e1) =
% 191.11/29.87 | e3) | (all_56_14 = e3 & op(e0, e1) = e3)) & ((all_56_4 = e2 &
% 191.11/29.87 | op(e3, e1) = e2) | (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_8
% 191.11/29.87 | = e2 & op(e1, e1) = e2) | (all_56_14 = e2 & op(e0, e1) = e2)) &
% 191.11/29.87 | ((all_56_4 = e1 & op(e3, e1) = e1) | (all_56_5 = e1 & op(e2, e1) =
% 191.11/29.87 | e1) | (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_14 = e1 &
% 191.11/29.87 | op(e0, e1) = e1)) & ((all_56_4 = e0 & op(e3, e1) = e0) |
% 191.11/29.87 | (all_56_5 = e0 & op(e2, e1) = e0) | (all_56_8 = e0 & op(e1, e1) =
% 191.11/29.87 | e0) | (all_56_14 = e0 & op(e0, e1) = e0)) & ((all_56_6 = e3 &
% 191.11/29.87 | op(e1, e3) = e3) | (all_56_7 = e3 & op(e1, e2) = e3) | (all_56_8
% 191.11/29.87 | = e3 & op(e1, e1) = e3) | (all_56_11 = e3 & op(e1, e0) = e3)) &
% 191.11/29.87 | ((all_56_6 = e2 & op(e1, e3) = e2) | (all_56_7 = e2 & op(e1, e2) =
% 191.11/29.87 | e2) | (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_11 = e2 &
% 191.11/29.87 | op(e1, e0) = e2)) & ((all_56_6 = e1 & op(e1, e3) = e1) |
% 191.11/29.87 | (all_56_7 = e1 & op(e1, e2) = e1) | (all_56_8 = e1 & op(e1, e1) =
% 191.11/29.87 | e1) | (all_56_11 = e1 & op(e1, e0) = e1)) & ((all_56_6 = e0 &
% 191.11/29.87 | op(e1, e3) = e0) | (all_56_7 = e0 & op(e1, e2) = e0) | (all_56_8
% 191.11/29.87 | = e0 & op(e1, e1) = e0) | (all_56_11 = e0 & op(e1, e0) = e0)) &
% 191.11/29.87 | ((all_56_9 = e3 & op(e3, e0) = e3) | (all_56_10 = e3 & op(e2, e0) =
% 191.11/29.87 | e3) | (all_56_11 = e3 & op(e1, e0) = e3) | (all_56_15 = e3 &
% 191.11/29.87 | op(e0, e0) = e3)) & ((all_56_9 = e2 & op(e3, e0) = e2) |
% 191.11/29.87 | (all_56_10 = e2 & op(e2, e0) = e2) | (all_56_11 = e2 & op(e1, e0) =
% 191.11/29.87 | e2) | (all_56_15 = e2 & op(e0, e0) = e2)) & ((all_56_9 = e1 &
% 191.11/29.87 | op(e3, e0) = e1) | (all_56_10 = e1 & op(e2, e0) = e1) |
% 191.11/29.87 | (all_56_11 = e1 & op(e1, e0) = e1) | (all_56_15 = e1 & op(e0, e0) =
% 191.11/29.87 | e1)) & ((all_56_12 = e3 & op(e0, e3) = e3) | (all_56_13 = e3 &
% 191.11/29.87 | op(e0, e2) = e3) | (all_56_14 = e3 & op(e0, e1) = e3) |
% 191.11/29.87 | (all_56_15 = e3 & op(e0, e0) = e3)) & ((all_56_12 = e2 & op(e0, e3)
% 191.11/29.87 | = e2) | (all_56_13 = e2 & op(e0, e2) = e2) | (all_56_14 = e2 &
% 191.11/29.87 | op(e0, e1) = e2) | (all_56_15 = e2 & op(e0, e0) = e2)) &
% 191.11/29.87 | ((all_56_12 = e1 & op(e0, e3) = e1) | (all_56_13 = e1 & op(e0, e2) =
% 191.11/29.87 | e1) | (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 = e1 &
% 191.11/29.87 | op(e0, e0) = e1)) & ((all_56_15 = e0 & op(e0, e0) = e0) |
% 191.11/29.87 | (((all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 = e0 & op(e2, e0)
% 191.11/29.87 | = e0) | (all_56_11 = e0 & op(e1, e0) = e0)) & ((all_56_12 =
% 191.11/29.87 | e0 & op(e0, e3) = e0) | (all_56_13 = e0 & op(e0, e2) = e0) |
% 191.11/29.87 | (all_56_14 = e0 & op(e0, e1) = e0))))
% 191.11/29.87 |
% 191.11/29.87 | ALPHA: (205) implies:
% 191.11/29.87 | (206) (all_56_15 = e0 & op(e0, e0) = e0) | (((all_56_9 = e0 & op(e3, e0) =
% 191.11/29.87 | e0) | (all_56_10 = e0 & op(e2, e0) = e0) | (all_56_11 = e0 &
% 191.11/29.87 | op(e1, e0) = e0)) & ((all_56_12 = e0 & op(e0, e3) = e0) |
% 191.11/29.87 | (all_56_13 = e0 & op(e0, e2) = e0) | (all_56_14 = e0 & op(e0, e1)
% 191.11/29.87 | = e0)))
% 191.11/29.87 | (207) (all_56_12 = e1 & op(e0, e3) = e1) | (all_56_13 = e1 & op(e0, e2) =
% 191.11/29.87 | e1) | (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 = e1 & op(e0,
% 191.11/29.87 | e0) = e1)
% 191.11/29.87 | (208) (all_56_12 = e2 & op(e0, e3) = e2) | (all_56_13 = e2 & op(e0, e2) =
% 191.11/29.87 | e2) | (all_56_14 = e2 & op(e0, e1) = e2) | (all_56_15 = e2 & op(e0,
% 191.11/29.87 | e0) = e2)
% 191.11/29.87 | (209) (all_56_12 = e3 & op(e0, e3) = e3) | (all_56_13 = e3 & op(e0, e2) =
% 191.11/29.87 | e3) | (all_56_14 = e3 & op(e0, e1) = e3) | (all_56_15 = e3 & op(e0,
% 191.11/29.87 | e0) = e3)
% 191.11/29.87 | (210) (all_56_9 = e1 & op(e3, e0) = e1) | (all_56_10 = e1 & op(e2, e0) =
% 191.11/29.87 | e1) | (all_56_11 = e1 & op(e1, e0) = e1) | (all_56_15 = e1 & op(e0,
% 191.11/29.87 | e0) = e1)
% 191.11/29.87 | (211) (all_56_9 = e2 & op(e3, e0) = e2) | (all_56_10 = e2 & op(e2, e0) =
% 191.11/29.87 | e2) | (all_56_11 = e2 & op(e1, e0) = e2) | (all_56_15 = e2 & op(e0,
% 191.11/29.87 | e0) = e2)
% 191.11/29.87 | (212) (all_56_9 = e3 & op(e3, e0) = e3) | (all_56_10 = e3 & op(e2, e0) =
% 191.11/29.87 | e3) | (all_56_11 = e3 & op(e1, e0) = e3) | (all_56_15 = e3 & op(e0,
% 191.11/29.87 | e0) = e3)
% 191.11/29.87 | (213) (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_7 = e0 & op(e1, e2) = e0)
% 191.11/29.87 | | (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_11 = e0 & op(e1, e0) =
% 191.11/29.87 | e0)
% 191.11/29.88 | (214) (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_7 = e1 & op(e1, e2) = e1)
% 191.11/29.88 | | (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_11 = e1 & op(e1, e0) =
% 191.11/29.88 | e1)
% 191.11/29.88 | (215) (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_7 = e2 & op(e1, e2) = e2)
% 191.11/29.88 | | (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_11 = e2 & op(e1, e0) =
% 191.11/29.88 | e2)
% 191.11/29.88 | (216) (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_7 = e3 & op(e1, e2) = e3)
% 191.11/29.88 | | (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_11 = e3 & op(e1, e0) =
% 191.11/29.88 | e3)
% 191.11/29.88 | (217) (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_5 = e0 & op(e2, e1) = e0)
% 191.11/29.88 | | (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_14 = e0 & op(e0, e1) =
% 191.11/29.88 | e0)
% 191.11/29.88 | (218) (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_5 = e1 & op(e2, e1) = e1)
% 191.11/29.88 | | (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_14 = e1 & op(e0, e1) =
% 191.11/29.88 | e1)
% 191.11/29.88 | (219) (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2 & op(e2, e1) = e2)
% 191.11/29.88 | | (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 = e2 & op(e0, e1) =
% 191.11/29.88 | e2)
% 191.11/29.88 | (220) (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3 & op(e2, e1) = e3)
% 191.11/29.88 | | (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 = e3 & op(e0, e1) =
% 191.11/29.88 | e3)
% 191.11/29.88 | (221) (all_56_2 = e0 & op(e2, e3) = e0) | (all_56_3 = e0 & op(e2, e2) = e0)
% 191.11/29.88 | | (all_56_5 = e0 & op(e2, e1) = e0) | (all_56_10 = e0 & op(e2, e0) =
% 191.11/29.88 | e0)
% 191.11/29.88 | (222) (all_56_2 = e1 & op(e2, e3) = e1) | (all_56_3 = e1 & op(e2, e2) = e1)
% 191.11/29.88 | | (all_56_5 = e1 & op(e2, e1) = e1) | (all_56_10 = e1 & op(e2, e0) =
% 191.11/29.88 | e1)
% 191.11/29.88 | (223) (all_56_2 = e2 & op(e2, e3) = e2) | (all_56_3 = e2 & op(e2, e2) = e2)
% 191.11/29.88 | | (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_10 = e2 & op(e2, e0) =
% 191.11/29.88 | e2)
% 191.11/29.88 | (224) (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3 & op(e2, e2) = e3)
% 191.11/29.88 | | (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 = e3 & op(e2, e0) =
% 191.11/29.88 | e3)
% 191.11/29.88 | (225) (all_56_1 = e0 & op(e3, e2) = e0) | (all_56_3 = e0 & op(e2, e2) = e0)
% 191.11/29.88 | | (all_56_7 = e0 & op(e1, e2) = e0) | (all_56_13 = e0 & op(e0, e2) =
% 191.11/29.88 | e0)
% 191.11/29.88 | (226) (all_56_1 = e1 & op(e3, e2) = e1) | (all_56_3 = e1 & op(e2, e2) = e1)
% 191.11/29.88 | | (all_56_7 = e1 & op(e1, e2) = e1) | (all_56_13 = e1 & op(e0, e2) =
% 191.11/29.88 | e1)
% 191.11/29.88 | (227) (all_56_1 = e2 & op(e3, e2) = e2) | (all_56_3 = e2 & op(e2, e2) = e2)
% 191.11/29.88 | | (all_56_7 = e2 & op(e1, e2) = e2) | (all_56_13 = e2 & op(e0, e2) =
% 191.11/29.88 | e2)
% 191.11/29.88 | (228) (all_56_1 = e3 & op(e3, e2) = e3) | (all_56_3 = e3 & op(e2, e2) = e3)
% 191.11/29.88 | | (all_56_7 = e3 & op(e1, e2) = e3) | (all_56_13 = e3 & op(e0, e2) =
% 191.11/29.88 | e3)
% 191.11/29.88 | (229) (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0 & op(e2, e3) = e0)
% 191.11/29.88 | | (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 = e0 & op(e0, e3) =
% 191.11/29.88 | e0)
% 191.11/29.88 | (230) (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_1 = e0 & op(e3, e2) = e0)
% 191.11/29.88 | | (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_9 = e0 & op(e3, e0) =
% 191.11/29.88 | e0)
% 191.11/29.88 | (231) (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_2 = e1 & op(e2, e3) = e1)
% 191.11/29.88 | | (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_12 = e1 & op(e0, e3) =
% 191.11/29.88 | e1)
% 191.11/29.88 | (232) (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_1 = e1 & op(e3, e2) = e1)
% 191.11/29.88 | | (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_9 = e1 & op(e3, e0) =
% 191.11/29.88 | e1)
% 191.11/29.88 | (233) (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2 & op(e2, e3) = e2)
% 191.11/29.88 | | (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_12 = e2 & op(e0, e3) =
% 191.11/29.88 | e2)
% 191.11/29.88 | (234) (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_1 = e2 & op(e3, e2) = e2)
% 191.11/29.88 | | (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_9 = e2 & op(e3, e0) =
% 191.11/29.88 | e2)
% 191.11/29.88 | (235) (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_2 = e3 & op(e2, e3) = e3)
% 191.11/29.88 | | (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_12 = e3 & op(e0, e3) =
% 191.11/29.88 | e3)
% 191.11/29.88 | (236) (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_1 = e3 & op(e3, e2) = e3)
% 191.11/29.88 | | (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_9 = e3 & op(e3, e0) =
% 191.11/29.88 | e3)
% 191.11/29.88 |
% 191.11/29.88 | DELTA: instantiating (10) with fresh symbols all_57_0, all_57_1, all_57_2,
% 191.11/29.88 | all_57_3, all_57_4, all_57_5, all_57_6, all_57_7, all_57_8, all_57_9,
% 191.11/29.88 | all_57_10, all_57_11, all_57_12, all_57_13, all_57_14, all_57_15,
% 191.11/29.88 | all_57_16, all_57_17, all_57_18, all_57_19, all_57_20, all_57_21,
% 191.11/29.88 | all_57_22, all_57_23, all_57_24, all_57_25, all_57_26, all_57_27,
% 191.11/29.88 | all_57_28, all_57_29, all_57_30, all_57_31 gives:
% 191.11/29.90 | (237) ((all_57_1 = e2 & ~ (all_57_3 = e3) & ~ (all_57_8 = e3) & ~
% 191.11/29.90 | (all_57_10 = e2) & ~ (all_57_12 = e1) & ~ (all_57_14 = e0) &
% 191.11/29.90 | op(e3, e3) = e2 & op(e3, e2) = all_57_3 & op(e2, all_57_9) =
% 191.11/29.90 | all_57_8 & op(e2, all_57_11) = all_57_10 & op(e2, all_57_13) =
% 191.11/29.90 | all_57_12 & op(e2, all_57_15) = all_57_14 & op(e2, e3) = all_57_9
% 191.11/29.90 | & op(e2, e2) = all_57_11 & op(e2, e1) = all_57_13 & op(e2, e0) =
% 191.11/29.90 | all_57_15 & $i(all_57_3) & $i(all_57_8) & $i(all_57_9) &
% 191.11/29.90 | $i(all_57_10) & $i(all_57_11) & $i(all_57_12) & $i(all_57_13) &
% 191.11/29.90 | $i(all_57_14) & $i(all_57_15)) | (all_57_1 = e1 & ~ (all_57_5 =
% 191.11/29.90 | e3) & ~ (all_57_16 = e3) & ~ (all_57_18 = e2) & ~ (all_57_20
% 191.11/29.90 | = e1) & ~ (all_57_22 = e0) & op(e3, e3) = e1 & op(e3, e1) =
% 191.11/29.90 | all_57_5 & op(e1, all_57_17) = all_57_16 & op(e1, all_57_19) =
% 191.11/29.90 | all_57_18 & op(e1, all_57_21) = all_57_20 & op(e1, all_57_23) =
% 191.11/29.90 | all_57_22 & op(e1, e3) = all_57_17 & op(e1, e2) = all_57_19 &
% 191.11/29.90 | op(e1, e1) = all_57_21 & op(e1, e0) = all_57_23 & $i(all_57_5) &
% 191.11/29.90 | $i(all_57_16) & $i(all_57_17) & $i(all_57_18) & $i(all_57_19) &
% 191.11/29.90 | $i(all_57_20) & $i(all_57_21) & $i(all_57_22) & $i(all_57_23)) |
% 191.11/29.90 | (all_57_1 = e0 & ~ (all_57_7 = e3) & ~ (all_57_24 = e3) & ~
% 191.11/29.90 | (all_57_26 = e2) & ~ (all_57_28 = e1) & ~ (all_57_30 = e0) &
% 191.11/29.90 | op(e3, e3) = e0 & op(e3, e0) = all_57_7 & op(e0, all_57_25) =
% 191.11/29.90 | all_57_24 & op(e0, all_57_27) = all_57_26 & op(e0, all_57_29) =
% 191.11/29.90 | all_57_28 & op(e0, all_57_31) = all_57_30 & op(e0, e3) =
% 191.11/29.90 | all_57_25 & op(e0, e2) = all_57_27 & op(e0, e1) = all_57_29 &
% 191.11/29.90 | op(e0, e0) = all_57_31 & $i(all_57_7) & $i(all_57_24) &
% 191.11/29.90 | $i(all_57_25) & $i(all_57_26) & $i(all_57_27) & $i(all_57_28) &
% 191.11/29.90 | $i(all_57_29) & $i(all_57_30) & $i(all_57_31)) | (all_57_11 = e3
% 191.11/29.90 | & ~ (all_57_0 = e3) & ~ (all_57_2 = e2) & ~ (all_57_4 = e1) &
% 191.11/29.90 | ~ (all_57_6 = e0) & ~ (all_57_9 = e2) & op(e3, all_57_1) =
% 191.11/29.90 | all_57_0 & op(e3, all_57_3) = all_57_2 & op(e3, all_57_5) =
% 191.11/29.90 | all_57_4 & op(e3, all_57_7) = all_57_6 & op(e3, e3) = all_57_1 &
% 191.11/29.90 | op(e3, e2) = all_57_3 & op(e3, e1) = all_57_5 & op(e3, e0) =
% 191.11/29.90 | all_57_7 & op(e2, e3) = all_57_9 & op(e2, e2) = e3 & $i(all_57_0)
% 191.11/29.90 | & $i(all_57_1) & $i(all_57_2) & $i(all_57_3) & $i(all_57_4) &
% 191.11/29.90 | $i(all_57_5) & $i(all_57_6) & $i(all_57_7) & $i(all_57_9)) |
% 191.11/29.90 | (all_57_11 = e1 & ~ (all_57_13 = e2) & ~ (all_57_16 = e3) & ~
% 191.11/29.90 | (all_57_18 = e2) & ~ (all_57_20 = e1) & ~ (all_57_22 = e0) &
% 191.11/29.90 | op(e2, e2) = e1 & op(e2, e1) = all_57_13 & op(e1, all_57_17) =
% 191.11/29.90 | all_57_16 & op(e1, all_57_19) = all_57_18 & op(e1, all_57_21) =
% 191.11/29.90 | all_57_20 & op(e1, all_57_23) = all_57_22 & op(e1, e3) =
% 191.11/29.90 | all_57_17 & op(e1, e2) = all_57_19 & op(e1, e1) = all_57_21 &
% 191.11/29.90 | op(e1, e0) = all_57_23 & $i(all_57_13) & $i(all_57_16) &
% 191.11/29.90 | $i(all_57_17) & $i(all_57_18) & $i(all_57_19) & $i(all_57_20) &
% 191.11/29.90 | $i(all_57_21) & $i(all_57_22) & $i(all_57_23)) | (all_57_11 = e0
% 191.11/29.90 | & ~ (all_57_15 = e2) & ~ (all_57_24 = e3) & ~ (all_57_26 = e2)
% 191.11/29.90 | & ~ (all_57_28 = e1) & ~ (all_57_30 = e0) & op(e2, e2) = e0 &
% 191.11/29.90 | op(e2, e0) = all_57_15 & op(e0, all_57_25) = all_57_24 & op(e0,
% 191.11/29.90 | all_57_27) = all_57_26 & op(e0, all_57_29) = all_57_28 & op(e0,
% 191.11/29.90 | all_57_31) = all_57_30 & op(e0, e3) = all_57_25 & op(e0, e2) =
% 191.11/29.90 | all_57_27 & op(e0, e1) = all_57_29 & op(e0, e0) = all_57_31 &
% 191.11/29.90 | $i(all_57_15) & $i(all_57_24) & $i(all_57_25) & $i(all_57_26) &
% 191.11/29.90 | $i(all_57_27) & $i(all_57_28) & $i(all_57_29) & $i(all_57_30) &
% 191.11/29.90 | $i(all_57_31)) | (all_57_21 = e3 & ~ (all_57_0 = e3) & ~
% 191.11/29.90 | (all_57_2 = e2) & ~ (all_57_4 = e1) & ~ (all_57_6 = e0) & ~
% 191.11/29.90 | (all_57_17 = e1) & op(e3, all_57_1) = all_57_0 & op(e3, all_57_3)
% 191.11/29.90 | = all_57_2 & op(e3, all_57_5) = all_57_4 & op(e3, all_57_7) =
% 191.11/29.90 | all_57_6 & op(e3, e3) = all_57_1 & op(e3, e2) = all_57_3 & op(e3,
% 191.11/29.90 | e1) = all_57_5 & op(e3, e0) = all_57_7 & op(e1, e3) = all_57_17
% 191.11/29.90 | & op(e1, e1) = e3 & $i(all_57_0) & $i(all_57_1) & $i(all_57_2) &
% 191.11/29.90 | $i(all_57_3) & $i(all_57_4) & $i(all_57_5) & $i(all_57_6) &
% 191.11/29.90 | $i(all_57_7) & $i(all_57_17)) | (all_57_21 = e2 & ~ (all_57_8 =
% 191.11/29.90 | e3) & ~ (all_57_10 = e2) & ~ (all_57_12 = e1) & ~ (all_57_14
% 191.11/29.90 | = e0) & ~ (all_57_19 = e1) & op(e2, all_57_9) = all_57_8 &
% 191.11/29.90 | op(e2, all_57_11) = all_57_10 & op(e2, all_57_13) = all_57_12 &
% 191.11/29.90 | op(e2, all_57_15) = all_57_14 & op(e2, e3) = all_57_9 & op(e2,
% 191.11/29.90 | e2) = all_57_11 & op(e2, e1) = all_57_13 & op(e2, e0) =
% 191.11/29.90 | all_57_15 & op(e1, e2) = all_57_19 & op(e1, e1) = e2 &
% 191.11/29.90 | $i(all_57_8) & $i(all_57_9) & $i(all_57_10) & $i(all_57_11) &
% 191.11/29.90 | $i(all_57_12) & $i(all_57_13) & $i(all_57_14) & $i(all_57_15) &
% 191.11/29.90 | $i(all_57_19)) | (op(e0, e0) = all_57_31 & $i(all_57_31) &
% 191.11/29.90 | ((all_57_21 = e0 & ~ (all_57_23 = e1) & ~ (all_57_24 = e3) & ~
% 191.11/29.90 | (all_57_26 = e2) & ~ (all_57_28 = e1) & ~ (all_57_30 = e0)
% 191.11/29.90 | & op(e1, e1) = e0 & op(e1, e0) = all_57_23 & op(e0,
% 191.11/29.90 | all_57_25) = all_57_24 & op(e0, all_57_27) = all_57_26 &
% 191.11/29.90 | op(e0, all_57_29) = all_57_28 & op(e0, all_57_31) = all_57_30
% 191.11/29.90 | & op(e0, e3) = all_57_25 & op(e0, e2) = all_57_27 & op(e0,
% 191.11/29.90 | e1) = all_57_29 & $i(all_57_23) & $i(all_57_24) &
% 191.11/29.90 | $i(all_57_25) & $i(all_57_26) & $i(all_57_27) & $i(all_57_28)
% 191.11/29.90 | & $i(all_57_29) & $i(all_57_30)) | (all_57_31 = e3 & ~
% 191.11/29.90 | (all_57_0 = e3) & ~ (all_57_2 = e2) & ~ (all_57_4 = e1) &
% 191.11/29.90 | ~ (all_57_6 = e0) & ~ (all_57_25 = e0) & op(e3, all_57_1) =
% 191.11/29.90 | all_57_0 & op(e3, all_57_3) = all_57_2 & op(e3, all_57_5) =
% 191.11/29.90 | all_57_4 & op(e3, all_57_7) = all_57_6 & op(e3, e3) =
% 191.11/29.90 | all_57_1 & op(e3, e2) = all_57_3 & op(e3, e1) = all_57_5 &
% 191.11/29.90 | op(e3, e0) = all_57_7 & op(e0, e3) = all_57_25 & $i(all_57_0)
% 191.11/29.90 | & $i(all_57_1) & $i(all_57_2) & $i(all_57_3) & $i(all_57_4) &
% 191.11/29.90 | $i(all_57_5) & $i(all_57_6) & $i(all_57_7) & $i(all_57_25)) |
% 191.11/29.90 | (all_57_31 = e2 & ~ (all_57_8 = e3) & ~ (all_57_10 = e2) & ~
% 191.11/29.90 | (all_57_12 = e1) & ~ (all_57_14 = e0) & ~ (all_57_27 = e0)
% 191.11/29.90 | & op(e2, all_57_9) = all_57_8 & op(e2, all_57_11) = all_57_10
% 191.11/29.90 | & op(e2, all_57_13) = all_57_12 & op(e2, all_57_15) =
% 191.11/29.90 | all_57_14 & op(e2, e3) = all_57_9 & op(e2, e2) = all_57_11 &
% 191.11/29.90 | op(e2, e1) = all_57_13 & op(e2, e0) = all_57_15 & op(e0, e2)
% 191.11/29.90 | = all_57_27 & $i(all_57_8) & $i(all_57_9) & $i(all_57_10) &
% 191.11/29.90 | $i(all_57_11) & $i(all_57_12) & $i(all_57_13) & $i(all_57_14)
% 191.11/29.90 | & $i(all_57_15) & $i(all_57_27)) | (all_57_31 = e1 & ~
% 191.11/29.90 | (all_57_16 = e3) & ~ (all_57_18 = e2) & ~ (all_57_20 = e1)
% 191.11/29.90 | & ~ (all_57_22 = e0) & ~ (all_57_29 = e0) & op(e1,
% 191.11/29.90 | all_57_17) = all_57_16 & op(e1, all_57_19) = all_57_18 &
% 191.11/29.90 | op(e1, all_57_21) = all_57_20 & op(e1, all_57_23) = all_57_22
% 191.11/29.90 | & op(e1, e3) = all_57_17 & op(e1, e2) = all_57_19 & op(e1,
% 191.11/29.90 | e1) = all_57_21 & op(e1, e0) = all_57_23 & op(e0, e1) =
% 191.11/29.90 | all_57_29 & $i(all_57_16) & $i(all_57_17) & $i(all_57_18) &
% 191.11/29.90 | $i(all_57_19) & $i(all_57_20) & $i(all_57_21) & $i(all_57_22)
% 191.11/29.90 | & $i(all_57_23) & $i(all_57_29))))) & ((all_57_3 = e3 & ~
% 191.11/29.90 | (all_57_1 = e2) & ~ (all_57_8 = e3) & ~ (all_57_10 = e2) & ~
% 191.11/29.90 | (all_57_12 = e1) & ~ (all_57_14 = e0) & op(e3, e3) = all_57_1 &
% 191.11/29.90 | op(e3, e2) = e3 & op(e2, all_57_9) = all_57_8 & op(e2, all_57_11)
% 191.11/29.90 | = all_57_10 & op(e2, all_57_13) = all_57_12 & op(e2, all_57_15) =
% 191.11/29.90 | all_57_14 & op(e2, e3) = all_57_9 & op(e2, e2) = all_57_11 &
% 191.11/29.90 | op(e2, e1) = all_57_13 & op(e2, e0) = all_57_15 & $i(all_57_1) &
% 191.11/29.90 | $i(all_57_8) & $i(all_57_9) & $i(all_57_10) & $i(all_57_11) &
% 191.11/29.90 | $i(all_57_12) & $i(all_57_13) & $i(all_57_14) & $i(all_57_15)) |
% 191.11/29.90 | (all_57_5 = e3 & ~ (all_57_1 = e1) & ~ (all_57_16 = e3) & ~
% 191.11/29.90 | (all_57_18 = e2) & ~ (all_57_20 = e1) & ~ (all_57_22 = e0) &
% 191.11/29.90 | op(e3, e3) = all_57_1 & op(e3, e1) = e3 & op(e1, all_57_17) =
% 191.11/29.90 | all_57_16 & op(e1, all_57_19) = all_57_18 & op(e1, all_57_21) =
% 191.11/29.90 | all_57_20 & op(e1, all_57_23) = all_57_22 & op(e1, e3) =
% 191.11/29.90 | all_57_17 & op(e1, e2) = all_57_19 & op(e1, e1) = all_57_21 &
% 191.11/29.90 | op(e1, e0) = all_57_23 & $i(all_57_1) & $i(all_57_16) &
% 191.11/29.90 | $i(all_57_17) & $i(all_57_18) & $i(all_57_19) & $i(all_57_20) &
% 191.11/29.90 | $i(all_57_21) & $i(all_57_22) & $i(all_57_23)) | (all_57_7 = e3 &
% 191.11/29.90 | ~ (all_57_1 = e0) & ~ (all_57_24 = e3) & ~ (all_57_26 = e2) &
% 191.11/29.90 | ~ (all_57_28 = e1) & ~ (all_57_30 = e0) & op(e3, e3) = all_57_1
% 191.11/29.90 | & op(e3, e0) = e3 & op(e0, all_57_25) = all_57_24 & op(e0,
% 191.11/29.90 | all_57_27) = all_57_26 & op(e0, all_57_29) = all_57_28 & op(e0,
% 191.11/29.90 | all_57_31) = all_57_30 & op(e0, e3) = all_57_25 & op(e0, e2) =
% 191.11/29.90 | all_57_27 & op(e0, e1) = all_57_29 & op(e0, e0) = all_57_31 &
% 191.11/29.90 | $i(all_57_1) & $i(all_57_24) & $i(all_57_25) & $i(all_57_26) &
% 191.11/29.90 | $i(all_57_27) & $i(all_57_28) & $i(all_57_29) & $i(all_57_30) &
% 191.11/29.90 | $i(all_57_31)) | (all_57_9 = e2 & ~ (all_57_0 = e3) & ~
% 191.11/29.90 | (all_57_2 = e2) & ~ (all_57_4 = e1) & ~ (all_57_6 = e0) & ~
% 191.11/29.90 | (all_57_11 = e3) & op(e3, all_57_1) = all_57_0 & op(e3, all_57_3)
% 191.11/29.90 | = all_57_2 & op(e3, all_57_5) = all_57_4 & op(e3, all_57_7) =
% 191.11/29.90 | all_57_6 & op(e3, e3) = all_57_1 & op(e3, e2) = all_57_3 & op(e3,
% 191.11/29.90 | e1) = all_57_5 & op(e3, e0) = all_57_7 & op(e2, e3) = e2 &
% 191.11/29.90 | op(e2, e2) = all_57_11 & $i(all_57_0) & $i(all_57_1) &
% 191.27/29.90 | $i(all_57_2) & $i(all_57_3) & $i(all_57_4) & $i(all_57_5) &
% 191.27/29.90 | $i(all_57_6) & $i(all_57_7) & $i(all_57_11)) | (all_57_13 = e2 &
% 191.27/29.90 | ~ (all_57_11 = e1) & ~ (all_57_16 = e3) & ~ (all_57_18 = e2) &
% 191.27/29.90 | ~ (all_57_20 = e1) & ~ (all_57_22 = e0) & op(e2, e2) = all_57_11
% 191.27/29.90 | & op(e2, e1) = e2 & op(e1, all_57_17) = all_57_16 & op(e1,
% 191.27/29.90 | all_57_19) = all_57_18 & op(e1, all_57_21) = all_57_20 & op(e1,
% 191.27/29.90 | all_57_23) = all_57_22 & op(e1, e3) = all_57_17 & op(e1, e2) =
% 191.27/29.90 | all_57_19 & op(e1, e1) = all_57_21 & op(e1, e0) = all_57_23 &
% 191.27/29.90 | $i(all_57_11) & $i(all_57_16) & $i(all_57_17) & $i(all_57_18) &
% 191.27/29.90 | $i(all_57_19) & $i(all_57_20) & $i(all_57_21) & $i(all_57_22) &
% 191.27/29.90 | $i(all_57_23)) | (all_57_15 = e2 & ~ (all_57_11 = e0) & ~
% 191.27/29.90 | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~ (all_57_28 = e1) & ~
% 191.27/29.90 | (all_57_30 = e0) & op(e2, e2) = all_57_11 & op(e2, e0) = e2 &
% 191.27/29.90 | op(e0, all_57_25) = all_57_24 & op(e0, all_57_27) = all_57_26 &
% 191.27/29.90 | op(e0, all_57_29) = all_57_28 & op(e0, all_57_31) = all_57_30 &
% 191.27/29.90 | op(e0, e3) = all_57_25 & op(e0, e2) = all_57_27 & op(e0, e1) =
% 191.27/29.90 | all_57_29 & op(e0, e0) = all_57_31 & $i(all_57_11) &
% 191.27/29.90 | $i(all_57_24) & $i(all_57_25) & $i(all_57_26) & $i(all_57_27) &
% 191.27/29.90 | $i(all_57_28) & $i(all_57_29) & $i(all_57_30) & $i(all_57_31)) |
% 191.27/29.90 | (all_57_17 = e1 & ~ (all_57_0 = e3) & ~ (all_57_2 = e2) & ~
% 191.27/29.90 | (all_57_4 = e1) & ~ (all_57_6 = e0) & ~ (all_57_21 = e3) &
% 191.27/29.90 | op(e3, all_57_1) = all_57_0 & op(e3, all_57_3) = all_57_2 &
% 191.27/29.90 | op(e3, all_57_5) = all_57_4 & op(e3, all_57_7) = all_57_6 &
% 191.27/29.90 | op(e3, e3) = all_57_1 & op(e3, e2) = all_57_3 & op(e3, e1) =
% 191.27/29.90 | all_57_5 & op(e3, e0) = all_57_7 & op(e1, e3) = e1 & op(e1, e1) =
% 191.27/29.90 | all_57_21 & $i(all_57_0) & $i(all_57_1) & $i(all_57_2) &
% 191.27/29.90 | $i(all_57_3) & $i(all_57_4) & $i(all_57_5) & $i(all_57_6) &
% 191.27/29.90 | $i(all_57_7) & $i(all_57_21)) | (all_57_19 = e1 & ~ (all_57_8 =
% 191.27/29.90 | e3) & ~ (all_57_10 = e2) & ~ (all_57_12 = e1) & ~ (all_57_14
% 191.27/29.90 | = e0) & ~ (all_57_21 = e2) & op(e2, all_57_9) = all_57_8 &
% 191.27/29.90 | op(e2, all_57_11) = all_57_10 & op(e2, all_57_13) = all_57_12 &
% 191.27/29.90 | op(e2, all_57_15) = all_57_14 & op(e2, e3) = all_57_9 & op(e2,
% 191.27/29.90 | e2) = all_57_11 & op(e2, e1) = all_57_13 & op(e2, e0) =
% 191.27/29.90 | all_57_15 & op(e1, e2) = e1 & op(e1, e1) = all_57_21 &
% 191.27/29.90 | $i(all_57_8) & $i(all_57_9) & $i(all_57_10) & $i(all_57_11) &
% 191.27/29.90 | $i(all_57_12) & $i(all_57_13) & $i(all_57_14) & $i(all_57_15) &
% 191.27/29.90 | $i(all_57_21)) | (op(e0, e0) = all_57_31 & $i(all_57_31) &
% 191.27/29.90 | ((all_57_23 = e1 & ~ (all_57_21 = e0) & ~ (all_57_24 = e3) & ~
% 191.27/29.90 | (all_57_26 = e2) & ~ (all_57_28 = e1) & ~ (all_57_30 = e0)
% 191.27/29.90 | & op(e1, e1) = all_57_21 & op(e1, e0) = e1 & op(e0,
% 191.27/29.90 | all_57_25) = all_57_24 & op(e0, all_57_27) = all_57_26 &
% 191.27/29.90 | op(e0, all_57_29) = all_57_28 & op(e0, all_57_31) = all_57_30
% 191.27/29.90 | & op(e0, e3) = all_57_25 & op(e0, e2) = all_57_27 & op(e0,
% 191.27/29.90 | e1) = all_57_29 & $i(all_57_21) & $i(all_57_24) &
% 191.27/29.90 | $i(all_57_25) & $i(all_57_26) & $i(all_57_27) & $i(all_57_28)
% 191.27/29.90 | & $i(all_57_29) & $i(all_57_30)) | (all_57_25 = e0 & ~
% 191.27/29.90 | (all_57_0 = e3) & ~ (all_57_2 = e2) & ~ (all_57_4 = e1) &
% 191.27/29.90 | ~ (all_57_6 = e0) & ~ (all_57_31 = e3) & op(e3, all_57_1) =
% 191.27/29.90 | all_57_0 & op(e3, all_57_3) = all_57_2 & op(e3, all_57_5) =
% 191.27/29.90 | all_57_4 & op(e3, all_57_7) = all_57_6 & op(e3, e3) =
% 191.27/29.90 | all_57_1 & op(e3, e2) = all_57_3 & op(e3, e1) = all_57_5 &
% 191.27/29.90 | op(e3, e0) = all_57_7 & op(e0, e3) = e0 & $i(all_57_0) &
% 191.27/29.90 | $i(all_57_1) & $i(all_57_2) & $i(all_57_3) & $i(all_57_4) &
% 191.27/29.90 | $i(all_57_5) & $i(all_57_6) & $i(all_57_7)) | (all_57_27 = e0
% 191.27/29.90 | & ~ (all_57_8 = e3) & ~ (all_57_10 = e2) & ~ (all_57_12 =
% 191.27/29.90 | e1) & ~ (all_57_14 = e0) & ~ (all_57_31 = e2) & op(e2,
% 191.27/29.90 | all_57_9) = all_57_8 & op(e2, all_57_11) = all_57_10 &
% 191.27/29.90 | op(e2, all_57_13) = all_57_12 & op(e2, all_57_15) = all_57_14
% 191.27/29.90 | & op(e2, e3) = all_57_9 & op(e2, e2) = all_57_11 & op(e2, e1)
% 191.27/29.90 | = all_57_13 & op(e2, e0) = all_57_15 & op(e0, e2) = e0 &
% 191.27/29.90 | $i(all_57_8) & $i(all_57_9) & $i(all_57_10) & $i(all_57_11) &
% 191.27/29.90 | $i(all_57_12) & $i(all_57_13) & $i(all_57_14) &
% 191.27/29.90 | $i(all_57_15)) | (all_57_29 = e0 & ~ (all_57_16 = e3) & ~
% 191.27/29.90 | (all_57_18 = e2) & ~ (all_57_20 = e1) & ~ (all_57_22 = e0)
% 191.27/29.90 | & ~ (all_57_31 = e1) & op(e1, all_57_17) = all_57_16 &
% 191.27/29.90 | op(e1, all_57_19) = all_57_18 & op(e1, all_57_21) = all_57_20
% 191.27/29.90 | & op(e1, all_57_23) = all_57_22 & op(e1, e3) = all_57_17 &
% 191.27/29.90 | op(e1, e2) = all_57_19 & op(e1, e1) = all_57_21 & op(e1, e0)
% 191.27/29.90 | = all_57_23 & op(e0, e1) = e0 & $i(all_57_16) & $i(all_57_17)
% 191.27/29.90 | & $i(all_57_18) & $i(all_57_19) & $i(all_57_20) &
% 191.27/29.90 | $i(all_57_21) & $i(all_57_22) & $i(all_57_23)))))
% 191.27/29.90 |
% 191.27/29.90 | ALPHA: (237) implies:
% 191.27/29.91 | (238) (all_57_3 = e3 & ~ (all_57_1 = e2) & ~ (all_57_8 = e3) & ~
% 191.27/29.91 | (all_57_10 = e2) & ~ (all_57_12 = e1) & ~ (all_57_14 = e0) &
% 191.27/29.91 | op(e3, e3) = all_57_1 & op(e3, e2) = e3 & op(e2, all_57_9) =
% 191.27/29.91 | all_57_8 & op(e2, all_57_11) = all_57_10 & op(e2, all_57_13) =
% 191.27/29.91 | all_57_12 & op(e2, all_57_15) = all_57_14 & op(e2, e3) = all_57_9 &
% 191.27/29.91 | op(e2, e2) = all_57_11 & op(e2, e1) = all_57_13 & op(e2, e0) =
% 191.27/29.91 | all_57_15 & $i(all_57_1) & $i(all_57_8) & $i(all_57_9) &
% 191.27/29.91 | $i(all_57_10) & $i(all_57_11) & $i(all_57_12) & $i(all_57_13) &
% 191.27/29.91 | $i(all_57_14) & $i(all_57_15)) | (all_57_5 = e3 & ~ (all_57_1 =
% 191.27/29.91 | e1) & ~ (all_57_16 = e3) & ~ (all_57_18 = e2) & ~ (all_57_20 =
% 191.27/29.91 | e1) & ~ (all_57_22 = e0) & op(e3, e3) = all_57_1 & op(e3, e1) =
% 191.27/29.91 | e3 & op(e1, all_57_17) = all_57_16 & op(e1, all_57_19) = all_57_18
% 191.27/29.91 | & op(e1, all_57_21) = all_57_20 & op(e1, all_57_23) = all_57_22 &
% 191.27/29.91 | op(e1, e3) = all_57_17 & op(e1, e2) = all_57_19 & op(e1, e1) =
% 191.27/29.91 | all_57_21 & op(e1, e0) = all_57_23 & $i(all_57_1) & $i(all_57_16) &
% 191.27/29.91 | $i(all_57_17) & $i(all_57_18) & $i(all_57_19) & $i(all_57_20) &
% 191.27/29.91 | $i(all_57_21) & $i(all_57_22) & $i(all_57_23)) | (all_57_7 = e3 &
% 191.27/29.91 | ~ (all_57_1 = e0) & ~ (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 191.27/29.91 | (all_57_28 = e1) & ~ (all_57_30 = e0) & op(e3, e3) = all_57_1 &
% 191.27/29.91 | op(e3, e0) = e3 & op(e0, all_57_25) = all_57_24 & op(e0, all_57_27)
% 191.27/29.91 | = all_57_26 & op(e0, all_57_29) = all_57_28 & op(e0, all_57_31) =
% 191.27/29.91 | all_57_30 & op(e0, e3) = all_57_25 & op(e0, e2) = all_57_27 &
% 191.27/29.91 | op(e0, e1) = all_57_29 & op(e0, e0) = all_57_31 & $i(all_57_1) &
% 191.27/29.91 | $i(all_57_24) & $i(all_57_25) & $i(all_57_26) & $i(all_57_27) &
% 191.27/29.91 | $i(all_57_28) & $i(all_57_29) & $i(all_57_30) & $i(all_57_31)) |
% 191.27/29.91 | (all_57_9 = e2 & ~ (all_57_0 = e3) & ~ (all_57_2 = e2) & ~
% 191.27/29.91 | (all_57_4 = e1) & ~ (all_57_6 = e0) & ~ (all_57_11 = e3) & op(e3,
% 191.27/29.91 | all_57_1) = all_57_0 & op(e3, all_57_3) = all_57_2 & op(e3,
% 191.27/29.91 | all_57_5) = all_57_4 & op(e3, all_57_7) = all_57_6 & op(e3, e3) =
% 191.27/29.91 | all_57_1 & op(e3, e2) = all_57_3 & op(e3, e1) = all_57_5 & op(e3,
% 191.27/29.91 | e0) = all_57_7 & op(e2, e3) = e2 & op(e2, e2) = all_57_11 &
% 191.27/29.91 | $i(all_57_0) & $i(all_57_1) & $i(all_57_2) & $i(all_57_3) &
% 191.27/29.91 | $i(all_57_4) & $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 191.27/29.91 | $i(all_57_11)) | (all_57_13 = e2 & ~ (all_57_11 = e1) & ~
% 191.27/29.91 | (all_57_16 = e3) & ~ (all_57_18 = e2) & ~ (all_57_20 = e1) & ~
% 191.27/29.91 | (all_57_22 = e0) & op(e2, e2) = all_57_11 & op(e2, e1) = e2 &
% 191.27/29.91 | op(e1, all_57_17) = all_57_16 & op(e1, all_57_19) = all_57_18 &
% 191.27/29.91 | op(e1, all_57_21) = all_57_20 & op(e1, all_57_23) = all_57_22 &
% 191.27/29.91 | op(e1, e3) = all_57_17 & op(e1, e2) = all_57_19 & op(e1, e1) =
% 191.27/29.91 | all_57_21 & op(e1, e0) = all_57_23 & $i(all_57_11) & $i(all_57_16)
% 191.27/29.91 | & $i(all_57_17) & $i(all_57_18) & $i(all_57_19) & $i(all_57_20) &
% 191.27/29.91 | $i(all_57_21) & $i(all_57_22) & $i(all_57_23)) | (all_57_15 = e2 &
% 191.27/29.91 | ~ (all_57_11 = e0) & ~ (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 191.27/29.91 | (all_57_28 = e1) & ~ (all_57_30 = e0) & op(e2, e2) = all_57_11 &
% 191.27/29.91 | op(e2, e0) = e2 & op(e0, all_57_25) = all_57_24 & op(e0, all_57_27)
% 191.27/29.91 | = all_57_26 & op(e0, all_57_29) = all_57_28 & op(e0, all_57_31) =
% 191.27/29.91 | all_57_30 & op(e0, e3) = all_57_25 & op(e0, e2) = all_57_27 &
% 191.27/29.91 | op(e0, e1) = all_57_29 & op(e0, e0) = all_57_31 & $i(all_57_11) &
% 191.27/29.91 | $i(all_57_24) & $i(all_57_25) & $i(all_57_26) & $i(all_57_27) &
% 191.27/29.91 | $i(all_57_28) & $i(all_57_29) & $i(all_57_30) & $i(all_57_31)) |
% 191.27/29.91 | (all_57_17 = e1 & ~ (all_57_0 = e3) & ~ (all_57_2 = e2) & ~
% 191.27/29.91 | (all_57_4 = e1) & ~ (all_57_6 = e0) & ~ (all_57_21 = e3) & op(e3,
% 191.27/29.91 | all_57_1) = all_57_0 & op(e3, all_57_3) = all_57_2 & op(e3,
% 191.27/29.91 | all_57_5) = all_57_4 & op(e3, all_57_7) = all_57_6 & op(e3, e3) =
% 191.27/29.91 | all_57_1 & op(e3, e2) = all_57_3 & op(e3, e1) = all_57_5 & op(e3,
% 191.27/29.91 | e0) = all_57_7 & op(e1, e3) = e1 & op(e1, e1) = all_57_21 &
% 191.27/29.91 | $i(all_57_0) & $i(all_57_1) & $i(all_57_2) & $i(all_57_3) &
% 191.27/29.91 | $i(all_57_4) & $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 191.27/29.91 | $i(all_57_21)) | (all_57_19 = e1 & ~ (all_57_8 = e3) & ~
% 191.27/29.91 | (all_57_10 = e2) & ~ (all_57_12 = e1) & ~ (all_57_14 = e0) & ~
% 191.27/29.91 | (all_57_21 = e2) & op(e2, all_57_9) = all_57_8 & op(e2, all_57_11)
% 191.27/29.91 | = all_57_10 & op(e2, all_57_13) = all_57_12 & op(e2, all_57_15) =
% 191.27/29.91 | all_57_14 & op(e2, e3) = all_57_9 & op(e2, e2) = all_57_11 & op(e2,
% 191.27/29.91 | e1) = all_57_13 & op(e2, e0) = all_57_15 & op(e1, e2) = e1 &
% 191.27/29.91 | op(e1, e1) = all_57_21 & $i(all_57_8) & $i(all_57_9) &
% 191.27/29.91 | $i(all_57_10) & $i(all_57_11) & $i(all_57_12) & $i(all_57_13) &
% 191.27/29.91 | $i(all_57_14) & $i(all_57_15) & $i(all_57_21)) | (op(e0, e0) =
% 191.27/29.91 | all_57_31 & $i(all_57_31) & ((all_57_23 = e1 & ~ (all_57_21 = e0)
% 191.27/29.91 | & ~ (all_57_24 = e3) & ~ (all_57_26 = e2) & ~ (all_57_28 =
% 191.27/29.91 | e1) & ~ (all_57_30 = e0) & op(e1, e1) = all_57_21 & op(e1,
% 191.27/29.91 | e0) = e1 & op(e0, all_57_25) = all_57_24 & op(e0, all_57_27)
% 191.27/29.91 | = all_57_26 & op(e0, all_57_29) = all_57_28 & op(e0, all_57_31)
% 191.27/29.91 | = all_57_30 & op(e0, e3) = all_57_25 & op(e0, e2) = all_57_27 &
% 191.27/29.91 | op(e0, e1) = all_57_29 & $i(all_57_21) & $i(all_57_24) &
% 191.27/29.91 | $i(all_57_25) & $i(all_57_26) & $i(all_57_27) & $i(all_57_28) &
% 191.27/29.91 | $i(all_57_29) & $i(all_57_30)) | (all_57_25 = e0 & ~ (all_57_0
% 191.27/29.91 | = e3) & ~ (all_57_2 = e2) & ~ (all_57_4 = e1) & ~
% 191.27/29.91 | (all_57_6 = e0) & ~ (all_57_31 = e3) & op(e3, all_57_1) =
% 191.27/29.91 | all_57_0 & op(e3, all_57_3) = all_57_2 & op(e3, all_57_5) =
% 191.27/29.91 | all_57_4 & op(e3, all_57_7) = all_57_6 & op(e3, e3) = all_57_1
% 191.27/29.91 | & op(e3, e2) = all_57_3 & op(e3, e1) = all_57_5 & op(e3, e0) =
% 191.27/29.91 | all_57_7 & op(e0, e3) = e0 & $i(all_57_0) & $i(all_57_1) &
% 191.27/29.91 | $i(all_57_2) & $i(all_57_3) & $i(all_57_4) & $i(all_57_5) &
% 191.27/29.91 | $i(all_57_6) & $i(all_57_7)) | (all_57_27 = e0 & ~ (all_57_8 =
% 191.27/29.91 | e3) & ~ (all_57_10 = e2) & ~ (all_57_12 = e1) & ~
% 191.27/29.91 | (all_57_14 = e0) & ~ (all_57_31 = e2) & op(e2, all_57_9) =
% 191.27/29.91 | all_57_8 & op(e2, all_57_11) = all_57_10 & op(e2, all_57_13) =
% 191.27/29.91 | all_57_12 & op(e2, all_57_15) = all_57_14 & op(e2, e3) =
% 191.27/29.91 | all_57_9 & op(e2, e2) = all_57_11 & op(e2, e1) = all_57_13 &
% 191.27/29.91 | op(e2, e0) = all_57_15 & op(e0, e2) = e0 & $i(all_57_8) &
% 191.27/29.91 | $i(all_57_9) & $i(all_57_10) & $i(all_57_11) & $i(all_57_12) &
% 191.27/29.91 | $i(all_57_13) & $i(all_57_14) & $i(all_57_15)) | (all_57_29 =
% 191.27/29.91 | e0 & ~ (all_57_16 = e3) & ~ (all_57_18 = e2) & ~ (all_57_20
% 191.27/29.91 | = e1) & ~ (all_57_22 = e0) & ~ (all_57_31 = e1) & op(e1,
% 191.27/29.91 | all_57_17) = all_57_16 & op(e1, all_57_19) = all_57_18 &
% 191.27/29.91 | op(e1, all_57_21) = all_57_20 & op(e1, all_57_23) = all_57_22 &
% 191.27/29.91 | op(e1, e3) = all_57_17 & op(e1, e2) = all_57_19 & op(e1, e1) =
% 191.27/29.91 | all_57_21 & op(e1, e0) = all_57_23 & op(e0, e1) = e0 &
% 191.27/29.91 | $i(all_57_16) & $i(all_57_17) & $i(all_57_18) & $i(all_57_19) &
% 191.27/29.91 | $i(all_57_20) & $i(all_57_21) & $i(all_57_22) &
% 191.27/29.91 | $i(all_57_23))))
% 191.27/29.92 | (239) (all_57_1 = e2 & ~ (all_57_3 = e3) & ~ (all_57_8 = e3) & ~
% 191.27/29.92 | (all_57_10 = e2) & ~ (all_57_12 = e1) & ~ (all_57_14 = e0) &
% 191.27/29.92 | op(e3, e3) = e2 & op(e3, e2) = all_57_3 & op(e2, all_57_9) =
% 191.27/29.92 | all_57_8 & op(e2, all_57_11) = all_57_10 & op(e2, all_57_13) =
% 191.27/29.92 | all_57_12 & op(e2, all_57_15) = all_57_14 & op(e2, e3) = all_57_9 &
% 191.27/29.92 | op(e2, e2) = all_57_11 & op(e2, e1) = all_57_13 & op(e2, e0) =
% 191.27/29.92 | all_57_15 & $i(all_57_3) & $i(all_57_8) & $i(all_57_9) &
% 191.27/29.92 | $i(all_57_10) & $i(all_57_11) & $i(all_57_12) & $i(all_57_13) &
% 191.27/29.92 | $i(all_57_14) & $i(all_57_15)) | (all_57_1 = e1 & ~ (all_57_5 =
% 191.27/29.92 | e3) & ~ (all_57_16 = e3) & ~ (all_57_18 = e2) & ~ (all_57_20 =
% 191.27/29.92 | e1) & ~ (all_57_22 = e0) & op(e3, e3) = e1 & op(e3, e1) =
% 191.27/29.92 | all_57_5 & op(e1, all_57_17) = all_57_16 & op(e1, all_57_19) =
% 191.27/29.92 | all_57_18 & op(e1, all_57_21) = all_57_20 & op(e1, all_57_23) =
% 191.27/29.92 | all_57_22 & op(e1, e3) = all_57_17 & op(e1, e2) = all_57_19 &
% 191.27/29.92 | op(e1, e1) = all_57_21 & op(e1, e0) = all_57_23 & $i(all_57_5) &
% 191.27/29.92 | $i(all_57_16) & $i(all_57_17) & $i(all_57_18) & $i(all_57_19) &
% 191.27/29.92 | $i(all_57_20) & $i(all_57_21) & $i(all_57_22) & $i(all_57_23)) |
% 191.27/29.92 | (all_57_1 = e0 & ~ (all_57_7 = e3) & ~ (all_57_24 = e3) & ~
% 191.27/29.92 | (all_57_26 = e2) & ~ (all_57_28 = e1) & ~ (all_57_30 = e0) &
% 191.27/29.92 | op(e3, e3) = e0 & op(e3, e0) = all_57_7 & op(e0, all_57_25) =
% 191.27/29.92 | all_57_24 & op(e0, all_57_27) = all_57_26 & op(e0, all_57_29) =
% 191.27/29.92 | all_57_28 & op(e0, all_57_31) = all_57_30 & op(e0, e3) = all_57_25
% 191.27/29.92 | & op(e0, e2) = all_57_27 & op(e0, e1) = all_57_29 & op(e0, e0) =
% 191.27/29.92 | all_57_31 & $i(all_57_7) & $i(all_57_24) & $i(all_57_25) &
% 191.27/29.92 | $i(all_57_26) & $i(all_57_27) & $i(all_57_28) & $i(all_57_29) &
% 191.27/29.92 | $i(all_57_30) & $i(all_57_31)) | (all_57_11 = e3 & ~ (all_57_0 =
% 191.27/29.92 | e3) & ~ (all_57_2 = e2) & ~ (all_57_4 = e1) & ~ (all_57_6 =
% 191.27/29.92 | e0) & ~ (all_57_9 = e2) & op(e3, all_57_1) = all_57_0 & op(e3,
% 191.27/29.92 | all_57_3) = all_57_2 & op(e3, all_57_5) = all_57_4 & op(e3,
% 191.27/29.92 | all_57_7) = all_57_6 & op(e3, e3) = all_57_1 & op(e3, e2) =
% 191.27/29.92 | all_57_3 & op(e3, e1) = all_57_5 & op(e3, e0) = all_57_7 & op(e2,
% 191.27/29.92 | e3) = all_57_9 & op(e2, e2) = e3 & $i(all_57_0) & $i(all_57_1) &
% 191.27/29.92 | $i(all_57_2) & $i(all_57_3) & $i(all_57_4) & $i(all_57_5) &
% 191.27/29.92 | $i(all_57_6) & $i(all_57_7) & $i(all_57_9)) | (all_57_11 = e1 & ~
% 191.27/29.92 | (all_57_13 = e2) & ~ (all_57_16 = e3) & ~ (all_57_18 = e2) & ~
% 191.27/29.92 | (all_57_20 = e1) & ~ (all_57_22 = e0) & op(e2, e2) = e1 & op(e2,
% 191.27/29.92 | e1) = all_57_13 & op(e1, all_57_17) = all_57_16 & op(e1,
% 191.27/29.92 | all_57_19) = all_57_18 & op(e1, all_57_21) = all_57_20 & op(e1,
% 191.27/29.92 | all_57_23) = all_57_22 & op(e1, e3) = all_57_17 & op(e1, e2) =
% 191.27/29.92 | all_57_19 & op(e1, e1) = all_57_21 & op(e1, e0) = all_57_23 &
% 191.27/29.92 | $i(all_57_13) & $i(all_57_16) & $i(all_57_17) & $i(all_57_18) &
% 191.27/29.92 | $i(all_57_19) & $i(all_57_20) & $i(all_57_21) & $i(all_57_22) &
% 191.27/29.92 | $i(all_57_23)) | (all_57_11 = e0 & ~ (all_57_15 = e2) & ~
% 191.27/29.92 | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~ (all_57_28 = e1) & ~
% 191.27/29.92 | (all_57_30 = e0) & op(e2, e2) = e0 & op(e2, e0) = all_57_15 &
% 191.27/29.92 | op(e0, all_57_25) = all_57_24 & op(e0, all_57_27) = all_57_26 &
% 191.27/29.92 | op(e0, all_57_29) = all_57_28 & op(e0, all_57_31) = all_57_30 &
% 191.27/29.92 | op(e0, e3) = all_57_25 & op(e0, e2) = all_57_27 & op(e0, e1) =
% 191.27/29.92 | all_57_29 & op(e0, e0) = all_57_31 & $i(all_57_15) & $i(all_57_24)
% 191.27/29.92 | & $i(all_57_25) & $i(all_57_26) & $i(all_57_27) & $i(all_57_28) &
% 191.27/29.92 | $i(all_57_29) & $i(all_57_30) & $i(all_57_31)) | (all_57_21 = e3 &
% 191.27/29.92 | ~ (all_57_0 = e3) & ~ (all_57_2 = e2) & ~ (all_57_4 = e1) & ~
% 191.27/29.92 | (all_57_6 = e0) & ~ (all_57_17 = e1) & op(e3, all_57_1) = all_57_0
% 191.27/29.92 | & op(e3, all_57_3) = all_57_2 & op(e3, all_57_5) = all_57_4 &
% 191.27/29.92 | op(e3, all_57_7) = all_57_6 & op(e3, e3) = all_57_1 & op(e3, e2) =
% 191.27/29.92 | all_57_3 & op(e3, e1) = all_57_5 & op(e3, e0) = all_57_7 & op(e1,
% 191.27/29.92 | e3) = all_57_17 & op(e1, e1) = e3 & $i(all_57_0) & $i(all_57_1) &
% 191.27/29.92 | $i(all_57_2) & $i(all_57_3) & $i(all_57_4) & $i(all_57_5) &
% 191.27/29.92 | $i(all_57_6) & $i(all_57_7) & $i(all_57_17)) | (all_57_21 = e2 & ~
% 191.27/29.92 | (all_57_8 = e3) & ~ (all_57_10 = e2) & ~ (all_57_12 = e1) & ~
% 191.27/29.92 | (all_57_14 = e0) & ~ (all_57_19 = e1) & op(e2, all_57_9) =
% 191.27/29.92 | all_57_8 & op(e2, all_57_11) = all_57_10 & op(e2, all_57_13) =
% 191.27/29.92 | all_57_12 & op(e2, all_57_15) = all_57_14 & op(e2, e3) = all_57_9 &
% 191.27/29.92 | op(e2, e2) = all_57_11 & op(e2, e1) = all_57_13 & op(e2, e0) =
% 191.27/29.92 | all_57_15 & op(e1, e2) = all_57_19 & op(e1, e1) = e2 & $i(all_57_8)
% 191.27/29.92 | & $i(all_57_9) & $i(all_57_10) & $i(all_57_11) & $i(all_57_12) &
% 191.27/29.92 | $i(all_57_13) & $i(all_57_14) & $i(all_57_15) & $i(all_57_19)) |
% 191.27/29.92 | (op(e0, e0) = all_57_31 & $i(all_57_31) & ((all_57_21 = e0 & ~
% 191.27/29.92 | (all_57_23 = e1) & ~ (all_57_24 = e3) & ~ (all_57_26 = e2) &
% 191.27/29.92 | ~ (all_57_28 = e1) & ~ (all_57_30 = e0) & op(e1, e1) = e0 &
% 191.27/29.92 | op(e1, e0) = all_57_23 & op(e0, all_57_25) = all_57_24 & op(e0,
% 191.27/29.92 | all_57_27) = all_57_26 & op(e0, all_57_29) = all_57_28 &
% 191.27/29.92 | op(e0, all_57_31) = all_57_30 & op(e0, e3) = all_57_25 & op(e0,
% 191.27/29.92 | e2) = all_57_27 & op(e0, e1) = all_57_29 & $i(all_57_23) &
% 191.27/29.92 | $i(all_57_24) & $i(all_57_25) & $i(all_57_26) & $i(all_57_27) &
% 191.27/29.92 | $i(all_57_28) & $i(all_57_29) & $i(all_57_30)) | (all_57_31 =
% 191.27/29.92 | e3 & ~ (all_57_0 = e3) & ~ (all_57_2 = e2) & ~ (all_57_4 =
% 191.27/29.92 | e1) & ~ (all_57_6 = e0) & ~ (all_57_25 = e0) & op(e3,
% 191.27/29.92 | all_57_1) = all_57_0 & op(e3, all_57_3) = all_57_2 & op(e3,
% 191.27/29.92 | all_57_5) = all_57_4 & op(e3, all_57_7) = all_57_6 & op(e3,
% 191.27/29.92 | e3) = all_57_1 & op(e3, e2) = all_57_3 & op(e3, e1) =
% 191.27/29.92 | all_57_5 & op(e3, e0) = all_57_7 & op(e0, e3) = all_57_25 &
% 191.27/29.92 | $i(all_57_0) & $i(all_57_1) & $i(all_57_2) & $i(all_57_3) &
% 191.27/29.92 | $i(all_57_4) & $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 191.27/29.92 | $i(all_57_25)) | (all_57_31 = e2 & ~ (all_57_8 = e3) & ~
% 191.27/29.92 | (all_57_10 = e2) & ~ (all_57_12 = e1) & ~ (all_57_14 = e0) &
% 191.27/29.92 | ~ (all_57_27 = e0) & op(e2, all_57_9) = all_57_8 & op(e2,
% 191.27/29.92 | all_57_11) = all_57_10 & op(e2, all_57_13) = all_57_12 &
% 191.27/29.92 | op(e2, all_57_15) = all_57_14 & op(e2, e3) = all_57_9 & op(e2,
% 191.27/29.92 | e2) = all_57_11 & op(e2, e1) = all_57_13 & op(e2, e0) =
% 191.27/29.92 | all_57_15 & op(e0, e2) = all_57_27 & $i(all_57_8) &
% 191.27/29.92 | $i(all_57_9) & $i(all_57_10) & $i(all_57_11) & $i(all_57_12) &
% 191.27/29.92 | $i(all_57_13) & $i(all_57_14) & $i(all_57_15) & $i(all_57_27))
% 191.27/29.92 | | (all_57_31 = e1 & ~ (all_57_16 = e3) & ~ (all_57_18 = e2) &
% 191.27/29.92 | ~ (all_57_20 = e1) & ~ (all_57_22 = e0) & ~ (all_57_29 = e0)
% 191.27/29.92 | & op(e1, all_57_17) = all_57_16 & op(e1, all_57_19) = all_57_18
% 191.27/29.92 | & op(e1, all_57_21) = all_57_20 & op(e1, all_57_23) = all_57_22
% 191.27/29.92 | & op(e1, e3) = all_57_17 & op(e1, e2) = all_57_19 & op(e1, e1)
% 191.27/29.92 | = all_57_21 & op(e1, e0) = all_57_23 & op(e0, e1) = all_57_29 &
% 191.27/29.92 | $i(all_57_16) & $i(all_57_17) & $i(all_57_18) & $i(all_57_19) &
% 191.27/29.92 | $i(all_57_20) & $i(all_57_21) & $i(all_57_22) & $i(all_57_23) &
% 191.27/29.92 | $i(all_57_29))))
% 191.27/29.92 |
% 191.27/29.92 | GROUND_INST: instantiating (function-axioms) with all_24_2, all_30_2, e0, e0,
% 191.27/29.92 | simplifying with (66), (75) gives:
% 191.27/29.92 | (240) all_30_2 = all_24_2
% 191.27/29.92 |
% 191.27/29.92 | GROUND_INST: instantiating (function-axioms) with all_30_2, all_40_2, e0, e0,
% 191.27/29.92 | simplifying with (75), (90) gives:
% 191.27/29.92 | (241) all_40_2 = all_30_2
% 191.27/29.92 |
% 191.27/29.92 | GROUND_INST: instantiating (function-axioms) with all_40_2, all_42_2, e0, e0,
% 191.27/29.92 | simplifying with (90), (93) gives:
% 191.27/29.92 | (242) all_42_2 = all_40_2
% 191.27/29.92 |
% 191.27/29.92 | GROUND_INST: instantiating (function-axioms) with all_46_2, all_52_15, e0, e0,
% 191.27/29.92 | simplifying with (99), (156) gives:
% 191.27/29.92 | (243) all_52_15 = all_46_2
% 191.27/29.92 |
% 191.27/29.92 | GROUND_INST: instantiating (function-axioms) with all_42_2, all_52_15, e0, e0,
% 191.27/29.92 | simplifying with (93), (156) gives:
% 191.27/29.92 | (244) all_52_15 = all_42_2
% 191.27/29.92 |
% 191.27/29.92 | GROUND_INST: instantiating (function-axioms) with all_52_15, all_54_15, e0,
% 191.27/29.92 | e0, simplifying with (156), (173) gives:
% 191.27/29.92 | (245) all_54_15 = all_52_15
% 191.27/29.92 |
% 191.27/29.92 | GROUND_INST: instantiating (function-axioms) with all_10_2, all_54_15, e0, e0,
% 191.27/29.92 | simplifying with (45), (173) gives:
% 191.27/29.92 | (246) all_54_15 = all_10_2
% 191.27/29.92 |
% 191.27/29.92 | GROUND_INST: instantiating (function-axioms) with all_52_11, all_54_14, e1,
% 191.27/29.92 | e0, simplifying with (157), (174) gives:
% 191.27/29.92 | (247) all_54_14 = all_52_11
% 191.27/29.92 |
% 191.27/29.92 | GROUND_INST: instantiating (function-axioms) with all_52_7, all_54_13, e2, e0,
% 191.27/29.92 | simplifying with (158), (175) gives:
% 191.27/29.92 | (248) all_54_13 = all_52_7
% 191.27/29.92 |
% 191.27/29.92 | GROUND_INST: instantiating (function-axioms) with all_52_3, all_54_12, e3, e0,
% 191.27/29.92 | simplifying with (159), (176) gives:
% 191.27/29.92 | (249) all_54_12 = all_52_3
% 191.27/29.93 |
% 191.27/29.93 | GROUND_INST: instantiating (function-axioms) with all_52_14, all_54_11, e0,
% 191.27/29.93 | e1, simplifying with (160), (177) gives:
% 191.27/29.93 | (250) all_54_11 = all_52_14
% 191.27/29.93 |
% 191.27/29.93 | GROUND_INST: instantiating (function-axioms) with all_8_2, all_12_2, e1, e1,
% 191.27/29.93 | simplifying with (42), (48) gives:
% 191.27/29.93 | (251) all_12_2 = all_8_2
% 191.27/29.93 |
% 191.27/29.93 | GROUND_INST: instantiating (function-axioms) with all_50_2, all_52_10, e1, e1,
% 191.27/29.93 | simplifying with (105), (161) gives:
% 191.27/29.93 | (252) all_52_10 = all_50_2
% 191.27/29.93 |
% 191.27/29.93 | GROUND_INST: instantiating (function-axioms) with all_4_2, all_52_10, e1, e1,
% 191.27/29.93 | simplifying with (36), (161) gives:
% 191.27/29.93 | (253) all_52_10 = all_4_2
% 191.27/29.93 |
% 191.27/29.93 | GROUND_INST: instantiating (function-axioms) with all_52_10, all_54_10, e1,
% 191.27/29.93 | e1, simplifying with (161), (178) gives:
% 191.27/29.93 | (254) all_54_10 = all_52_10
% 191.27/29.93 |
% 191.27/29.93 | GROUND_INST: instantiating (function-axioms) with all_48_2, all_54_10, e1, e1,
% 191.27/29.93 | simplifying with (102), (178) gives:
% 191.27/29.93 | (255) all_54_10 = all_48_2
% 191.27/29.93 |
% 191.27/29.93 | GROUND_INST: instantiating (function-axioms) with all_32_2, all_54_10, e1, e1,
% 191.27/29.93 | simplifying with (78), (178) gives:
% 191.27/29.93 | (256) all_54_10 = all_32_2
% 191.27/29.93 |
% 191.27/29.93 | GROUND_INST: instantiating (function-axioms) with all_12_2, all_54_10, e1, e1,
% 191.27/29.93 | simplifying with (48), (178) gives:
% 191.27/29.93 | (257) all_54_10 = all_12_2
% 191.27/29.93 |
% 191.27/29.93 | GROUND_INST: instantiating (function-axioms) with all_52_6, all_54_9, e2, e1,
% 191.27/29.93 | simplifying with (162), (179) gives:
% 191.27/29.93 | (258) all_54_9 = all_52_6
% 191.27/29.93 |
% 191.27/29.93 | GROUND_INST: instantiating (function-axioms) with all_52_2, all_54_8, e3, e1,
% 191.27/29.93 | simplifying with (163), (180) gives:
% 191.27/29.93 | (259) all_54_8 = all_52_2
% 191.27/29.93 |
% 191.27/29.93 | GROUND_INST: instantiating (function-axioms) with all_52_13, all_54_7, e0, e2,
% 191.27/29.93 | simplifying with (164), (181) gives:
% 191.27/29.93 | (260) all_54_7 = all_52_13
% 191.27/29.93 |
% 191.27/29.93 | GROUND_INST: instantiating (function-axioms) with all_52_9, all_54_6, e1, e2,
% 191.27/29.93 | simplifying with (165), (182) gives:
% 191.27/29.93 | (261) all_54_6 = all_52_9
% 191.27/29.93 |
% 191.27/29.93 | GROUND_INST: instantiating (function-axioms) with all_20_2, all_26_2, e2, e2,
% 191.27/29.93 | simplifying with (60), (69) gives:
% 191.27/29.93 | (262) all_26_2 = all_20_2
% 191.27/29.93 |
% 191.27/29.93 | GROUND_INST: instantiating (function-axioms) with all_16_2, all_26_2, e2, e2,
% 191.27/29.93 | simplifying with (54), (69) gives:
% 191.27/29.93 | (263) all_26_2 = all_16_2
% 191.27/29.93 |
% 191.27/29.93 | GROUND_INST: instantiating (function-axioms) with all_38_2, all_52_5, e2, e2,
% 191.27/29.93 | simplifying with (87), (166) gives:
% 191.27/29.93 | (264) all_52_5 = all_38_2
% 191.27/29.93 |
% 191.27/29.93 | GROUND_INST: instantiating (function-axioms) with all_26_2, all_52_5, e2, e2,
% 191.27/29.93 | simplifying with (69), (166) gives:
% 191.27/29.93 | (265) all_52_5 = all_26_2
% 191.27/29.93 |
% 191.27/29.93 | GROUND_INST: instantiating (function-axioms) with all_18_2, all_52_5, e2, e2,
% 191.27/29.93 | simplifying with (57), (166) gives:
% 191.27/29.93 | (266) all_52_5 = all_18_2
% 191.27/29.93 |
% 191.27/29.93 | GROUND_INST: instantiating (function-axioms) with all_20_2, all_54_5, e2, e2,
% 191.27/29.93 | simplifying with (60), (183) gives:
% 191.27/29.93 | (267) all_54_5 = all_20_2
% 191.27/29.93 |
% 191.27/29.93 | GROUND_INST: instantiating (function-axioms) with all_6_2, all_54_5, e2, e2,
% 191.27/29.93 | simplifying with (39), (183) gives:
% 191.27/29.93 | (268) all_54_5 = all_6_2
% 191.27/29.93 |
% 191.27/29.93 | GROUND_INST: instantiating (function-axioms) with all_52_1, all_54_4, e3, e2,
% 191.27/29.93 | simplifying with (167), (184) gives:
% 191.27/29.93 | (269) all_54_4 = all_52_1
% 191.27/29.93 |
% 191.27/29.93 | GROUND_INST: instantiating (function-axioms) with all_52_12, all_54_3, e0, e3,
% 191.27/29.93 | simplifying with (168), (185) gives:
% 191.27/29.93 | (270) all_54_3 = all_52_12
% 191.27/29.93 |
% 191.27/29.93 | GROUND_INST: instantiating (function-axioms) with all_52_8, all_54_2, e1, e3,
% 191.27/29.93 | simplifying with (169), (186) gives:
% 191.27/29.93 | (271) all_54_2 = all_52_8
% 191.27/29.93 |
% 191.27/29.93 | GROUND_INST: instantiating (function-axioms) with all_52_4, all_54_1, e2, e3,
% 191.27/29.93 | simplifying with (170), (187) gives:
% 191.27/29.93 | (272) all_54_1 = all_52_4
% 191.27/29.93 |
% 191.27/29.93 | GROUND_INST: instantiating (function-axioms) with all_28_2, all_34_2, e3, e3,
% 191.27/29.93 | simplifying with (72), (81) gives:
% 191.27/29.93 | (273) all_34_2 = all_28_2
% 191.27/29.93 |
% 191.27/29.93 | GROUND_INST: instantiating (function-axioms) with all_34_2, all_36_2, e3, e3,
% 191.27/29.93 | simplifying with (81), (84) gives:
% 191.27/29.93 | (274) all_36_2 = all_34_2
% 191.27/29.93 |
% 191.27/29.93 | GROUND_INST: instantiating (function-axioms) with all_36_2, all_44_2, e3, e3,
% 191.27/29.93 | simplifying with (84), (96) gives:
% 191.27/29.93 | (275) all_44_2 = all_36_2
% 191.27/29.93 |
% 191.27/29.93 | GROUND_INST: instantiating (function-axioms) with all_28_2, all_52_0, e3, e3,
% 191.27/29.93 | simplifying with (72), (171) gives:
% 191.27/29.93 | (276) all_52_0 = all_28_2
% 191.27/29.93 |
% 191.27/29.93 | GROUND_INST: instantiating (function-axioms) with all_22_2, all_52_0, e3, e3,
% 191.27/29.93 | simplifying with (63), (171) gives:
% 191.27/29.93 | (277) all_52_0 = all_22_2
% 191.27/29.93 |
% 191.27/29.93 | GROUND_INST: instantiating (function-axioms) with all_44_2, all_54_0, e3, e3,
% 191.27/29.93 | simplifying with (96), (188) gives:
% 191.27/29.93 | (278) all_54_0 = all_44_2
% 191.27/29.93 |
% 191.27/29.93 | GROUND_INST: instantiating (function-axioms) with all_14_2, all_54_0, e3, e3,
% 191.27/29.93 | simplifying with (51), (188) gives:
% 191.27/29.93 | (279) all_54_0 = all_14_2
% 191.27/29.93 |
% 191.27/29.93 | COMBINE_EQS: (278), (279) imply:
% 191.27/29.93 | (280) all_44_2 = all_14_2
% 191.27/29.93 |
% 191.27/29.93 | SIMP: (280) implies:
% 191.27/29.93 | (281) all_44_2 = all_14_2
% 191.27/29.93 |
% 191.27/29.93 | COMBINE_EQS: (267), (268) imply:
% 191.27/29.93 | (282) all_20_2 = all_6_2
% 191.27/29.93 |
% 191.27/29.93 | SIMP: (282) implies:
% 191.27/29.93 | (283) all_20_2 = all_6_2
% 191.27/29.93 |
% 191.27/29.93 | COMBINE_EQS: (255), (257) imply:
% 191.27/29.93 | (284) all_48_2 = all_12_2
% 191.27/29.93 |
% 191.27/29.93 | COMBINE_EQS: (255), (256) imply:
% 191.27/29.93 | (285) all_48_2 = all_32_2
% 191.27/29.93 |
% 191.27/29.93 | COMBINE_EQS: (254), (255) imply:
% 191.27/29.93 | (286) all_52_10 = all_48_2
% 191.27/29.93 |
% 191.27/29.93 | SIMP: (286) implies:
% 191.27/29.93 | (287) all_52_10 = all_48_2
% 191.27/29.93 |
% 191.27/29.93 | COMBINE_EQS: (245), (246) imply:
% 191.27/29.93 | (288) all_52_15 = all_10_2
% 191.27/29.93 |
% 191.27/29.93 | SIMP: (288) implies:
% 191.27/29.93 | (289) all_52_15 = all_10_2
% 191.27/29.93 |
% 191.27/29.93 | COMBINE_EQS: (276), (277) imply:
% 191.27/29.93 | (290) all_28_2 = all_22_2
% 191.27/29.93 |
% 191.27/29.93 | SIMP: (290) implies:
% 191.27/29.93 | (291) all_28_2 = all_22_2
% 191.27/29.93 |
% 191.27/29.93 | COMBINE_EQS: (264), (266) imply:
% 191.27/29.93 | (292) all_38_2 = all_18_2
% 191.27/29.93 |
% 191.27/29.93 | COMBINE_EQS: (264), (265) imply:
% 191.27/29.93 | (293) all_38_2 = all_26_2
% 191.27/29.93 |
% 191.27/29.93 | COMBINE_EQS: (252), (287) imply:
% 191.27/29.93 | (294) all_50_2 = all_48_2
% 191.27/29.93 |
% 191.27/29.93 | COMBINE_EQS: (252), (253) imply:
% 191.27/29.93 | (295) all_50_2 = all_4_2
% 191.27/29.93 |
% 191.27/29.93 | COMBINE_EQS: (243), (244) imply:
% 191.27/29.93 | (296) all_46_2 = all_42_2
% 191.27/29.93 |
% 191.27/29.93 | COMBINE_EQS: (243), (289) imply:
% 191.27/29.93 | (297) all_46_2 = all_10_2
% 191.27/29.93 |
% 191.27/29.93 | COMBINE_EQS: (294), (295) imply:
% 191.27/29.93 | (298) all_48_2 = all_4_2
% 191.27/29.93 |
% 191.27/29.93 | SIMP: (298) implies:
% 191.27/29.93 | (299) all_48_2 = all_4_2
% 191.27/29.93 |
% 191.27/29.93 | COMBINE_EQS: (284), (285) imply:
% 191.27/29.93 | (300) all_32_2 = all_12_2
% 191.27/29.93 |
% 191.27/29.93 | COMBINE_EQS: (285), (299) imply:
% 191.27/29.93 | (301) all_32_2 = all_4_2
% 191.27/29.93 |
% 191.27/29.93 | COMBINE_EQS: (296), (297) imply:
% 191.27/29.94 | (302) all_42_2 = all_10_2
% 191.27/29.94 |
% 191.27/29.94 | SIMP: (302) implies:
% 191.27/29.94 | (303) all_42_2 = all_10_2
% 191.27/29.94 |
% 191.27/29.94 | COMBINE_EQS: (275), (281) imply:
% 191.27/29.94 | (304) all_36_2 = all_14_2
% 191.27/29.94 |
% 191.27/29.94 | SIMP: (304) implies:
% 191.27/29.94 | (305) all_36_2 = all_14_2
% 191.27/29.94 |
% 191.27/29.94 | COMBINE_EQS: (242), (303) imply:
% 191.27/29.94 | (306) all_40_2 = all_10_2
% 191.27/29.94 |
% 191.27/29.94 | SIMP: (306) implies:
% 191.27/29.94 | (307) all_40_2 = all_10_2
% 191.27/29.94 |
% 191.27/29.94 | COMBINE_EQS: (241), (307) imply:
% 191.27/29.94 | (308) all_30_2 = all_10_2
% 191.27/29.94 |
% 191.27/29.94 | SIMP: (308) implies:
% 191.27/29.94 | (309) all_30_2 = all_10_2
% 191.27/29.94 |
% 191.27/29.94 | COMBINE_EQS: (292), (293) imply:
% 191.27/29.94 | (310) all_26_2 = all_18_2
% 191.27/29.94 |
% 191.27/29.94 | SIMP: (310) implies:
% 191.27/29.94 | (311) all_26_2 = all_18_2
% 191.27/29.94 |
% 191.27/29.94 | COMBINE_EQS: (274), (305) imply:
% 191.27/29.94 | (312) all_34_2 = all_14_2
% 191.27/29.94 |
% 191.27/29.94 | SIMP: (312) implies:
% 191.27/29.94 | (313) all_34_2 = all_14_2
% 191.27/29.94 |
% 191.27/29.94 | COMBINE_EQS: (273), (313) imply:
% 191.27/29.94 | (314) all_28_2 = all_14_2
% 191.27/29.94 |
% 191.27/29.94 | SIMP: (314) implies:
% 191.27/29.94 | (315) all_28_2 = all_14_2
% 191.27/29.94 |
% 191.27/29.94 | COMBINE_EQS: (300), (301) imply:
% 191.27/29.94 | (316) all_12_2 = all_4_2
% 191.27/29.94 |
% 191.27/29.94 | SIMP: (316) implies:
% 191.27/29.94 | (317) all_12_2 = all_4_2
% 191.27/29.94 |
% 191.27/29.94 | COMBINE_EQS: (240), (309) imply:
% 191.27/29.94 | (318) all_24_2 = all_10_2
% 191.27/29.94 |
% 191.27/29.94 | SIMP: (318) implies:
% 191.27/29.94 | (319) all_24_2 = all_10_2
% 191.27/29.94 |
% 191.27/29.94 | COMBINE_EQS: (291), (315) imply:
% 191.27/29.94 | (320) all_22_2 = all_14_2
% 191.27/29.94 |
% 191.27/29.94 | SIMP: (320) implies:
% 191.27/29.94 | (321) all_22_2 = all_14_2
% 191.27/29.94 |
% 191.27/29.94 | COMBINE_EQS: (262), (311) imply:
% 191.27/29.94 | (322) all_20_2 = all_18_2
% 191.27/29.94 |
% 191.43/29.94 | SIMP: (322) implies:
% 191.43/29.94 | (323) all_20_2 = all_18_2
% 191.43/29.94 |
% 191.43/29.94 | COMBINE_EQS: (263), (311) imply:
% 191.43/29.94 | (324) all_18_2 = all_16_2
% 191.43/29.94 |
% 191.43/29.94 | COMBINE_EQS: (283), (323) imply:
% 191.43/29.94 | (325) all_18_2 = all_6_2
% 191.43/29.94 |
% 191.43/29.94 | SIMP: (325) implies:
% 191.43/29.94 | (326) all_18_2 = all_6_2
% 191.43/29.94 |
% 191.43/29.94 | COMBINE_EQS: (324), (326) imply:
% 191.43/29.94 | (327) all_16_2 = all_6_2
% 191.43/29.94 |
% 191.43/29.94 | SIMP: (327) implies:
% 191.43/29.94 | (328) all_16_2 = all_6_2
% 191.43/29.94 |
% 191.43/29.94 | COMBINE_EQS: (251), (317) imply:
% 191.43/29.94 | (329) all_8_2 = all_4_2
% 191.43/29.94 |
% 191.43/29.94 | SIMP: (329) implies:
% 191.43/29.94 | (330) all_8_2 = all_4_2
% 191.43/29.94 |
% 191.43/29.94 | COMBINE_EQS: (311), (326) imply:
% 191.43/29.94 | (331) all_26_2 = all_6_2
% 191.43/29.94 |
% 191.43/29.94 | COMBINE_EQS: (292), (326) imply:
% 191.43/29.94 | (332) all_38_2 = all_6_2
% 191.43/29.94 |
% 191.43/29.94 | COMBINE_EQS: (264), (332) imply:
% 191.43/29.94 | (333) all_52_5 = all_6_2
% 191.43/29.94 |
% 191.43/29.94 | COMBINE_EQS: (277), (321) imply:
% 191.43/29.94 | (334) all_52_0 = all_14_2
% 191.43/29.94 |
% 191.43/29.94 | COMBINE_EQS: (255), (299) imply:
% 191.43/29.94 | (335) all_54_10 = all_4_2
% 191.43/29.94 |
% 191.43/29.94 | REDUCE: (155), (334) imply:
% 191.43/29.94 | (336) ~ (all_52_1 = all_14_2)
% 191.43/29.94 |
% 191.43/29.94 | SIMP: (336) implies:
% 191.43/29.94 | (337) ~ (all_52_1 = all_14_2)
% 191.43/29.94 |
% 191.43/29.94 | REDUCE: (154), (334) imply:
% 191.43/29.94 | (338) ~ (all_52_2 = all_14_2)
% 191.43/29.94 |
% 191.43/29.94 | SIMP: (338) implies:
% 191.43/29.94 | (339) ~ (all_52_2 = all_14_2)
% 191.43/29.94 |
% 191.43/29.94 | REDUCE: (153), (334) imply:
% 191.43/29.94 | (340) ~ (all_52_3 = all_14_2)
% 191.43/29.94 |
% 191.43/29.94 | SIMP: (340) implies:
% 191.43/29.94 | (341) ~ (all_52_3 = all_14_2)
% 191.43/29.94 |
% 191.43/29.94 | REDUCE: (152), (334) imply:
% 191.43/29.94 | (342) ~ (all_52_4 = all_14_2)
% 191.43/29.94 |
% 191.43/29.94 | SIMP: (342) implies:
% 191.43/29.94 | (343) ~ (all_52_4 = all_14_2)
% 191.43/29.94 |
% 191.43/29.94 | REDUCE: (151), (334) imply:
% 191.43/29.94 | (344) ~ (all_52_8 = all_14_2)
% 191.43/29.94 |
% 191.43/29.94 | SIMP: (344) implies:
% 191.43/29.94 | (345) ~ (all_52_8 = all_14_2)
% 191.43/29.94 |
% 191.43/29.94 | REDUCE: (150), (334) imply:
% 191.43/29.94 | (346) ~ (all_52_12 = all_14_2)
% 191.43/29.94 |
% 191.43/29.94 | SIMP: (346) implies:
% 191.43/29.94 | (347) ~ (all_52_12 = all_14_2)
% 191.43/29.94 |
% 191.43/29.94 | REDUCE: (147), (333) imply:
% 191.43/29.94 | (348) ~ (all_52_1 = all_6_2)
% 191.43/29.94 |
% 191.43/29.94 | REDUCE: (142), (253) imply:
% 191.43/29.94 | (349) ~ (all_52_2 = all_4_2)
% 191.43/29.94 |
% 191.43/29.94 | REDUCE: (138), (289) imply:
% 191.43/29.94 | (350) ~ (all_52_3 = all_10_2)
% 191.43/29.94 |
% 191.43/29.94 | REDUCE: (137), (333) imply:
% 191.43/29.94 | (351) ~ (all_52_4 = all_6_2)
% 191.43/29.94 |
% 191.43/29.94 | REDUCE: (132), (333) imply:
% 191.43/29.94 | (352) ~ (all_52_6 = all_6_2)
% 191.43/29.94 |
% 191.43/29.94 | SIMP: (352) implies:
% 191.43/29.94 | (353) ~ (all_52_6 = all_6_2)
% 191.43/29.94 |
% 191.43/29.94 | REDUCE: (131), (333) imply:
% 191.43/29.94 | (354) ~ (all_52_7 = all_6_2)
% 191.43/29.94 |
% 191.43/29.94 | SIMP: (354) implies:
% 191.43/29.94 | (355) ~ (all_52_7 = all_6_2)
% 191.43/29.94 |
% 191.43/29.94 | REDUCE: (130), (333) imply:
% 191.43/29.94 | (356) ~ (all_52_9 = all_6_2)
% 191.43/29.94 |
% 191.43/29.94 | SIMP: (356) implies:
% 191.43/29.94 | (357) ~ (all_52_9 = all_6_2)
% 191.43/29.94 |
% 191.43/29.94 | REDUCE: (129), (333) imply:
% 191.43/29.94 | (358) ~ (all_52_13 = all_6_2)
% 191.43/29.94 |
% 191.43/29.94 | SIMP: (358) implies:
% 191.43/29.94 | (359) ~ (all_52_13 = all_6_2)
% 191.43/29.94 |
% 191.43/29.94 | REDUCE: (127), (253) imply:
% 191.43/29.94 | (360) ~ (all_52_6 = all_4_2)
% 191.43/29.94 |
% 191.43/29.94 | REDUCE: (124), (289) imply:
% 191.43/29.94 | (361) ~ (all_52_7 = all_10_2)
% 191.43/29.94 |
% 191.43/29.94 | REDUCE: (122), (253) imply:
% 191.43/29.94 | (362) ~ (all_52_8 = all_4_2)
% 191.43/29.94 |
% 191.43/29.94 | REDUCE: (119), (253) imply:
% 191.43/29.94 | (363) ~ (all_52_9 = all_4_2)
% 191.43/29.94 |
% 191.43/29.94 | REDUCE: (116), (253) imply:
% 191.43/29.94 | (364) ~ (all_52_11 = all_4_2)
% 191.43/29.94 |
% 191.43/29.94 | SIMP: (364) implies:
% 191.43/29.94 | (365) ~ (all_52_11 = all_4_2)
% 191.43/29.94 |
% 191.43/29.94 | REDUCE: (115), (253) imply:
% 191.43/29.94 | (366) ~ (all_52_14 = all_4_2)
% 191.43/29.94 |
% 191.43/29.94 | SIMP: (366) implies:
% 191.43/29.94 | (367) ~ (all_52_14 = all_4_2)
% 191.43/29.94 |
% 191.43/29.94 | REDUCE: (114), (289) imply:
% 191.43/29.94 | (368) ~ (all_52_11 = all_10_2)
% 191.43/29.94 |
% 191.43/29.94 | REDUCE: (111), (289) imply:
% 191.43/29.94 | (369) ~ (all_52_12 = all_10_2)
% 191.43/29.94 |
% 191.43/29.94 | REDUCE: (109), (289) imply:
% 191.43/29.94 | (370) ~ (all_52_13 = all_10_2)
% 191.43/29.94 |
% 191.43/29.94 | REDUCE: (108), (289) imply:
% 191.43/29.94 | (371) ~ (all_52_14 = all_10_2)
% 191.43/29.94 |
% 191.43/29.94 | BETA: splitting (37) gives:
% 191.43/29.94 |
% 191.43/29.94 | Case 1:
% 191.43/29.94 | |
% 191.43/29.94 | | (372) ~ (all_4_2 = e0)
% 191.43/29.94 | |
% 191.43/29.94 | | BETA: splitting (40) gives:
% 191.43/29.94 | |
% 191.43/29.94 | | Case 1:
% 191.43/29.94 | | |
% 191.43/29.94 | | | (373) ~ (all_6_2 = e1)
% 191.43/29.94 | | |
% 191.43/29.94 | | | BETA: splitting (43) gives:
% 191.43/29.94 | | |
% 191.43/29.94 | | | Case 1:
% 191.43/29.94 | | | |
% 191.43/29.94 | | | | (374) ~ (all_8_2 = e2)
% 191.43/29.94 | | | |
% 191.43/29.94 | | | | REDUCE: (330), (374) imply:
% 191.43/29.94 | | | | (375) ~ (all_4_2 = e2)
% 191.43/29.94 | | | |
% 191.43/29.94 | | | | BETA: splitting (46) gives:
% 191.43/29.94 | | | |
% 191.43/29.94 | | | | Case 1:
% 191.43/29.94 | | | | |
% 191.43/29.94 | | | | | (376) ~ (all_10_2 = e3)
% 191.43/29.94 | | | | |
% 191.43/29.94 | | | | | BETA: splitting (52) gives:
% 191.43/29.94 | | | | |
% 191.43/29.94 | | | | | Case 1:
% 191.43/29.94 | | | | | |
% 191.43/29.94 | | | | | | (377) ~ (all_14_2 = e2)
% 191.43/29.94 | | | | | |
% 191.43/29.94 | | | | | | BETA: splitting (55) gives:
% 191.43/29.94 | | | | | |
% 191.43/29.94 | | | | | | Case 1:
% 191.43/29.94 | | | | | | |
% 191.43/29.94 | | | | | | | (378) ~ (all_16_2 = e3)
% 191.43/29.94 | | | | | | |
% 191.43/29.94 | | | | | | | REDUCE: (328), (378) imply:
% 191.43/29.95 | | | | | | | (379) ~ (all_6_2 = e3)
% 191.43/29.95 | | | | | | |
% 191.43/29.95 | | | | | | | BETA: splitting (61) gives:
% 191.43/29.95 | | | | | | |
% 191.43/29.95 | | | | | | | Case 1:
% 191.43/29.95 | | | | | | | |
% 191.43/29.95 | | | | | | | | (380) ~ (all_20_2 = e0)
% 191.43/29.95 | | | | | | | |
% 191.43/29.95 | | | | | | | | REDUCE: (283), (380) imply:
% 191.43/29.95 | | | | | | | | (381) ~ (all_6_2 = e0)
% 191.43/29.95 | | | | | | | |
% 191.43/29.95 | | | | | | | | BETA: splitting (199) gives:
% 191.43/29.95 | | | | | | | |
% 191.43/29.95 | | | | | | | | Case 1:
% 191.43/29.95 | | | | | | | | |
% 191.43/29.95 | | | | | | | | | (382) all_54_5 = e3
% 191.43/29.95 | | | | | | | | |
% 191.43/29.95 | | | | | | | | | COMBINE_EQS: (268), (382) imply:
% 191.43/29.95 | | | | | | | | | (383) all_6_2 = e3
% 191.43/29.95 | | | | | | | | |
% 191.43/29.95 | | | | | | | | | REDUCE: (379), (383) imply:
% 191.43/29.95 | | | | | | | | | (384) $false
% 191.43/29.95 | | | | | | | | |
% 191.43/29.95 | | | | | | | | | CLOSE: (384) is inconsistent.
% 191.43/29.95 | | | | | | | | |
% 191.43/29.95 | | | | | | | | Case 2:
% 191.43/29.95 | | | | | | | | |
% 191.43/29.95 | | | | | | | | | (385) ~ (all_54_5 = e3)
% 191.43/29.95 | | | | | | | | | (386) all_54_5 = e2 | all_54_5 = e1 | all_54_5 = e0
% 191.43/29.95 | | | | | | | | |
% 191.43/29.95 | | | | | | | | | BETA: splitting (386) gives:
% 191.43/29.95 | | | | | | | | |
% 191.43/29.95 | | | | | | | | | Case 1:
% 191.43/29.95 | | | | | | | | | |
% 191.43/29.95 | | | | | | | | | | (387) all_54_5 = e2
% 191.43/29.95 | | | | | | | | | |
% 191.43/29.95 | | | | | | | | | | COMBINE_EQS: (268), (387) imply:
% 191.43/29.95 | | | | | | | | | | (388) all_6_2 = e2
% 191.43/29.95 | | | | | | | | | |
% 191.43/29.95 | | | | | | | | | | REDUCE: (348), (388) imply:
% 191.43/29.95 | | | | | | | | | | (389) ~ (all_52_1 = e2)
% 191.43/29.95 | | | | | | | | | |
% 191.43/29.95 | | | | | | | | | | REDUCE: (351), (388) imply:
% 191.43/29.95 | | | | | | | | | | (390) ~ (all_52_4 = e2)
% 191.43/29.95 | | | | | | | | | |
% 191.43/29.95 | | | | | | | | | | REDUCE: (353), (388) imply:
% 191.43/29.95 | | | | | | | | | | (391) ~ (all_52_6 = e2)
% 191.43/29.95 | | | | | | | | | |
% 191.43/29.95 | | | | | | | | | | REDUCE: (355), (388) imply:
% 191.43/29.95 | | | | | | | | | | (392) ~ (all_52_7 = e2)
% 191.43/29.95 | | | | | | | | | |
% 191.43/29.95 | | | | | | | | | | REDUCE: (357), (388) imply:
% 191.43/29.95 | | | | | | | | | | (393) ~ (all_52_9 = e2)
% 191.43/29.95 | | | | | | | | | |
% 191.43/29.95 | | | | | | | | | | REDUCE: (359), (388) imply:
% 191.43/29.95 | | | | | | | | | | (394) ~ (all_52_13 = e2)
% 191.43/29.95 | | | | | | | | | |
% 191.43/29.95 | | | | | | | | | | REDUCE: (379), (388) imply:
% 191.43/29.95 | | | | | | | | | | (395) ~ (e3 = e2)
% 191.43/29.95 | | | | | | | | | |
% 191.43/29.95 | | | | | | | | | | REDUCE: (39), (388) imply:
% 191.43/29.95 | | | | | | | | | | (396) op(e2, e2) = e2
% 191.43/29.95 | | | | | | | | | |
% 191.43/29.95 | | | | | | | | | | BETA: splitting (73) gives:
% 191.43/29.95 | | | | | | | | | |
% 191.43/29.95 | | | | | | | | | | Case 1:
% 191.43/29.95 | | | | | | | | | | |
% 191.43/29.95 | | | | | | | | | | | (397) ~ (all_28_2 = e1)
% 191.43/29.95 | | | | | | | | | | |
% 191.43/29.95 | | | | | | | | | | | REDUCE: (315), (397) imply:
% 191.43/29.95 | | | | | | | | | | | (398) ~ (all_14_2 = e1)
% 191.43/29.95 | | | | | | | | | | |
% 191.43/29.95 | | | | | | | | | | | BETA: splitting (76) gives:
% 191.43/29.95 | | | | | | | | | | |
% 191.43/29.95 | | | | | | | | | | | Case 1:
% 191.43/29.95 | | | | | | | | | | | |
% 191.43/29.95 | | | | | | | | | | | | (399) ~ (all_30_2 = e2)
% 191.43/29.95 | | | | | | | | | | | |
% 191.43/29.95 | | | | | | | | | | | | REDUCE: (309), (399) imply:
% 191.43/29.95 | | | | | | | | | | | | (400) ~ (all_10_2 = e2)
% 191.43/29.95 | | | | | | | | | | | |
% 191.43/29.95 | | | | | | | | | | | | BETA: splitting (79) gives:
% 191.43/29.95 | | | | | | | | | | | |
% 191.43/29.95 | | | | | | | | | | | | Case 1:
% 191.43/29.95 | | | | | | | | | | | | |
% 191.43/29.95 | | | | | | | | | | | | | (401) ~ (all_32_2 = e3)
% 191.43/29.95 | | | | | | | | | | | | |
% 191.43/29.95 | | | | | | | | | | | | | REDUCE: (301), (401) imply:
% 191.43/29.95 | | | | | | | | | | | | | (402) ~ (all_4_2 = e3)
% 191.43/29.95 | | | | | | | | | | | | |
% 191.43/29.95 | | | | | | | | | | | | | BETA: splitting (194) gives:
% 191.43/29.95 | | | | | | | | | | | | |
% 191.43/29.95 | | | | | | | | | | | | | Case 1:
% 191.43/29.95 | | | | | | | | | | | | | |
% 191.43/29.95 | | | | | | | | | | | | | | (403) all_54_10 = e3
% 191.43/29.95 | | | | | | | | | | | | | |
% 191.43/29.95 | | | | | | | | | | | | | | REF_CLOSE: (335), (402), (403) are inconsistent by sub-proof
% 191.43/29.95 | | | | | | | | | | | | | | #1974.
% 191.43/29.95 | | | | | | | | | | | | | |
% 191.43/29.95 | | | | | | | | | | | | | Case 2:
% 191.43/29.95 | | | | | | | | | | | | | |
% 191.43/29.95 | | | | | | | | | | | | | | (404) ~ (all_54_10 = e3)
% 191.43/29.95 | | | | | | | | | | | | | | (405) all_54_10 = e2 | all_54_10 = e1 | all_54_10 = e0
% 191.43/29.95 | | | | | | | | | | | | | |
% 191.43/29.95 | | | | | | | | | | | | | | BETA: splitting (405) gives:
% 191.43/29.95 | | | | | | | | | | | | | |
% 191.43/29.95 | | | | | | | | | | | | | | Case 1:
% 191.43/29.95 | | | | | | | | | | | | | | |
% 191.43/29.95 | | | | | | | | | | | | | | | (406) all_54_10 = e2
% 191.43/29.95 | | | | | | | | | | | | | | |
% 191.43/29.95 | | | | | | | | | | | | | | | REF_CLOSE: (335), (375), (406) are inconsistent by sub-proof
% 191.43/29.95 | | | | | | | | | | | | | | | #1973.
% 191.43/29.95 | | | | | | | | | | | | | | |
% 191.43/29.95 | | | | | | | | | | | | | | Case 2:
% 191.43/29.95 | | | | | | | | | | | | | | |
% 191.43/29.95 | | | | | | | | | | | | | | | (407) ~ (all_54_10 = e2)
% 191.43/29.95 | | | | | | | | | | | | | | | (408) all_54_10 = e1 | all_54_10 = e0
% 191.43/29.95 | | | | | | | | | | | | | | |
% 191.43/29.95 | | | | | | | | | | | | | | | BETA: splitting (408) gives:
% 191.43/29.95 | | | | | | | | | | | | | | |
% 191.43/29.95 | | | | | | | | | | | | | | | Case 1:
% 191.43/29.95 | | | | | | | | | | | | | | | |
% 191.43/29.95 | | | | | | | | | | | | | | | | (409) all_54_10 = e1
% 191.43/29.95 | | | | | | | | | | | | | | | |
% 191.43/29.95 | | | | | | | | | | | | | | | | COMBINE_EQS: (335), (409) imply:
% 191.43/29.95 | | | | | | | | | | | | | | | | (410) all_4_2 = e1
% 191.43/29.95 | | | | | | | | | | | | | | | |
% 191.43/29.95 | | | | | | | | | | | | | | | | SIMP: (410) implies:
% 191.43/29.95 | | | | | | | | | | | | | | | | (411) all_4_2 = e1
% 191.43/29.95 | | | | | | | | | | | | | | | |
% 191.43/29.95 | | | | | | | | | | | | | | | | REDUCE: (349), (411) imply:
% 191.43/29.95 | | | | | | | | | | | | | | | | (412) ~ (all_52_2 = e1)
% 191.43/29.95 | | | | | | | | | | | | | | | |
% 191.43/29.95 | | | | | | | | | | | | | | | | REDUCE: (367), (411) imply:
% 191.43/29.95 | | | | | | | | | | | | | | | | (413) ~ (all_52_14 = e1)
% 191.43/29.95 | | | | | | | | | | | | | | | |
% 191.43/29.95 | | | | | | | | | | | | | | | | REDUCE: (402), (411) imply:
% 191.43/29.95 | | | | | | | | | | | | | | | | (414) ~ (e3 = e1)
% 191.43/29.95 | | | | | | | | | | | | | | | |
% 191.43/29.95 | | | | | | | | | | | | | | | | REDUCE: (375), (411) imply:
% 191.43/29.95 | | | | | | | | | | | | | | | | (415) ~ (e2 = e1)
% 191.43/29.95 | | | | | | | | | | | | | | | |
% 191.43/29.95 | | | | | | | | | | | | | | | | REDUCE: (36), (411) imply:
% 191.43/29.95 | | | | | | | | | | | | | | | | (416) op(e1, e1) = e1
% 191.43/29.95 | | | | | | | | | | | | | | | |
% 191.43/29.95 | | | | | | | | | | | | | | | | BETA: splitting (239) gives:
% 191.43/29.95 | | | | | | | | | | | | | | | |
% 191.43/29.95 | | | | | | | | | | | | | | | | Case 1:
% 191.43/29.95 | | | | | | | | | | | | | | | | |
% 191.43/29.96 | | | | | | | | | | | | | | | | | (417) (all_57_1 = e2 & ~ (all_57_3 = e3) & ~ (all_57_8
% 191.43/29.96 | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_10 = e2) & ~ (all_57_12 =
% 191.43/29.96 | | | | | | | | | | | | | | | | | e1) & ~ (all_57_14 = e0) & op(e3, e3) = e2 &
% 191.43/29.96 | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_3 & op(e2, all_57_9) =
% 191.43/29.96 | | | | | | | | | | | | | | | | | all_57_8 & op(e2, all_57_11) = all_57_10 &
% 191.43/29.96 | | | | | | | | | | | | | | | | | op(e2, all_57_13) = all_57_12 & op(e2,
% 191.43/29.96 | | | | | | | | | | | | | | | | | all_57_15) = all_57_14 & op(e2, e3) = all_57_9
% 191.43/29.96 | | | | | | | | | | | | | | | | | & op(e2, e2) = all_57_11 & op(e2, e1) =
% 191.43/29.96 | | | | | | | | | | | | | | | | | all_57_13 & op(e2, e0) = all_57_15 &
% 191.43/29.96 | | | | | | | | | | | | | | | | | $i(all_57_3) & $i(all_57_8) & $i(all_57_9) &
% 191.43/29.96 | | | | | | | | | | | | | | | | | $i(all_57_10) & $i(all_57_11) & $i(all_57_12) &
% 191.43/29.96 | | | | | | | | | | | | | | | | | $i(all_57_13) & $i(all_57_14) & $i(all_57_15)) |
% 191.43/29.96 | | | | | | | | | | | | | | | | | (all_57_1 = e1 & ~ (all_57_5 = e3) & ~
% 191.43/29.96 | | | | | | | | | | | | | | | | | (all_57_16 = e3) & ~ (all_57_18 = e2) & ~
% 191.43/29.96 | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_22 = e0) & op(e3,
% 191.43/29.96 | | | | | | | | | | | | | | | | | e3) = e1 & op(e3, e1) = all_57_5 & op(e1,
% 191.43/29.96 | | | | | | | | | | | | | | | | | all_57_17) = all_57_16 & op(e1, all_57_19) =
% 191.43/29.96 | | | | | | | | | | | | | | | | | all_57_18 & op(e1, all_57_21) = all_57_20 &
% 191.43/29.96 | | | | | | | | | | | | | | | | | op(e1, all_57_23) = all_57_22 & op(e1, e3) =
% 191.43/29.96 | | | | | | | | | | | | | | | | | all_57_17 & op(e1, e2) = all_57_19 & op(e1, e1)
% 191.43/29.96 | | | | | | | | | | | | | | | | | = all_57_21 & op(e1, e0) = all_57_23 &
% 191.43/29.96 | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_16) & $i(all_57_17) &
% 191.43/29.96 | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_19) & $i(all_57_20) &
% 191.43/29.96 | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_22) & $i(all_57_23)) |
% 191.43/29.96 | | | | | | | | | | | | | | | | | (all_57_1 = e0 & ~ (all_57_7 = e3) & ~
% 191.43/29.96 | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 191.43/29.96 | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) & op(e3,
% 191.43/29.96 | | | | | | | | | | | | | | | | | e3) = e0 & op(e3, e0) = all_57_7 & op(e0,
% 191.43/29.96 | | | | | | | | | | | | | | | | | all_57_25) = all_57_24 & op(e0, all_57_27) =
% 191.43/29.96 | | | | | | | | | | | | | | | | | all_57_26 & op(e0, all_57_29) = all_57_28 &
% 191.43/29.96 | | | | | | | | | | | | | | | | | op(e0, all_57_31) = all_57_30 & op(e0, e3) =
% 191.43/29.96 | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_27 & op(e0, e1)
% 191.43/29.96 | | | | | | | | | | | | | | | | | = all_57_29 & op(e0, e0) = all_57_31 &
% 191.43/29.96 | | | | | | | | | | | | | | | | | $i(all_57_7) & $i(all_57_24) & $i(all_57_25) &
% 191.43/29.96 | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_27) & $i(all_57_28) &
% 191.43/29.96 | | | | | | | | | | | | | | | | | $i(all_57_29) & $i(all_57_30) & $i(all_57_31)) |
% 191.43/29.96 | | | | | | | | | | | | | | | | | (all_57_11 = e3 & ~ (all_57_0 = e3) & ~
% 191.43/29.96 | | | | | | | | | | | | | | | | | (all_57_2 = e2) & ~ (all_57_4 = e1) & ~
% 191.43/29.96 | | | | | | | | | | | | | | | | | (all_57_6 = e0) & ~ (all_57_9 = e2) & op(e3,
% 191.43/29.96 | | | | | | | | | | | | | | | | | all_57_1) = all_57_0 & op(e3, all_57_3) =
% 191.43/29.96 | | | | | | | | | | | | | | | | | all_57_2 & op(e3, all_57_5) = all_57_4 & op(e3,
% 191.43/29.96 | | | | | | | | | | | | | | | | | all_57_7) = all_57_6 & op(e3, e3) = all_57_1 &
% 191.43/29.96 | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_3 & op(e3, e1) = all_57_5 &
% 191.43/29.96 | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_7 & op(e2, e3) = all_57_9 &
% 191.43/29.96 | | | | | | | | | | | | | | | | | op(e2, e2) = e3 & $i(all_57_0) & $i(all_57_1) &
% 191.43/29.96 | | | | | | | | | | | | | | | | | $i(all_57_2) & $i(all_57_3) & $i(all_57_4) &
% 191.43/29.96 | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 191.43/29.96 | | | | | | | | | | | | | | | | | $i(all_57_9))
% 191.43/29.96 | | | | | | | | | | | | | | | | |
% 191.43/29.96 | | | | | | | | | | | | | | | | | BETA: splitting (417) gives:
% 191.43/29.96 | | | | | | | | | | | | | | | | |
% 191.43/29.96 | | | | | | | | | | | | | | | | | Case 1:
% 191.43/29.96 | | | | | | | | | | | | | | | | | |
% 191.43/29.96 | | | | | | | | | | | | | | | | | | (418) (all_57_1 = e2 & ~ (all_57_3 = e3) & ~ (all_57_8
% 191.43/29.96 | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_10 = e2) & ~ (all_57_12 =
% 191.43/29.96 | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_14 = e0) & op(e3, e3) = e2 &
% 191.43/29.96 | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_3 & op(e2, all_57_9) =
% 191.43/29.96 | | | | | | | | | | | | | | | | | | all_57_8 & op(e2, all_57_11) = all_57_10 &
% 191.43/29.96 | | | | | | | | | | | | | | | | | | op(e2, all_57_13) = all_57_12 & op(e2,
% 191.43/29.96 | | | | | | | | | | | | | | | | | | all_57_15) = all_57_14 & op(e2, e3) = all_57_9
% 191.43/29.96 | | | | | | | | | | | | | | | | | | & op(e2, e2) = all_57_11 & op(e2, e1) =
% 191.43/29.96 | | | | | | | | | | | | | | | | | | all_57_13 & op(e2, e0) = all_57_15 &
% 191.43/29.96 | | | | | | | | | | | | | | | | | | $i(all_57_3) & $i(all_57_8) & $i(all_57_9) &
% 191.43/29.96 | | | | | | | | | | | | | | | | | | $i(all_57_10) & $i(all_57_11) & $i(all_57_12) &
% 191.43/29.96 | | | | | | | | | | | | | | | | | | $i(all_57_13) & $i(all_57_14) & $i(all_57_15)) |
% 191.43/29.96 | | | | | | | | | | | | | | | | | | (all_57_1 = e1 & ~ (all_57_5 = e3) & ~
% 191.43/29.96 | | | | | | | | | | | | | | | | | | (all_57_16 = e3) & ~ (all_57_18 = e2) & ~
% 191.43/29.96 | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_22 = e0) & op(e3,
% 191.43/29.96 | | | | | | | | | | | | | | | | | | e3) = e1 & op(e3, e1) = all_57_5 & op(e1,
% 191.43/29.96 | | | | | | | | | | | | | | | | | | all_57_17) = all_57_16 & op(e1, all_57_19) =
% 191.43/29.96 | | | | | | | | | | | | | | | | | | all_57_18 & op(e1, all_57_21) = all_57_20 &
% 191.43/29.96 | | | | | | | | | | | | | | | | | | op(e1, all_57_23) = all_57_22 & op(e1, e3) =
% 191.43/29.96 | | | | | | | | | | | | | | | | | | all_57_17 & op(e1, e2) = all_57_19 & op(e1, e1)
% 191.43/29.96 | | | | | | | | | | | | | | | | | | = all_57_21 & op(e1, e0) = all_57_23 &
% 191.43/29.96 | | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_16) & $i(all_57_17) &
% 191.43/29.96 | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_19) & $i(all_57_20) &
% 191.43/29.96 | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_22) & $i(all_57_23))
% 191.43/29.96 | | | | | | | | | | | | | | | | | |
% 191.43/29.96 | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (9), (36), (45), (51), (158), (162), (170),
% 191.43/29.96 | | | | | | | | | | | | | | | | | | (227), (239), (335), (372), (375), (376), (390),
% 191.43/29.96 | | | | | | | | | | | | | | | | | | (391), (392), (396), (398), (402), (405), (418),
% 191.43/29.96 | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 191.43/29.96 | | | | | | | | | | | | | | | | | | #1947.
% 191.43/29.96 | | | | | | | | | | | | | | | | | |
% 191.43/29.96 | | | | | | | | | | | | | | | | | Case 2:
% 191.43/29.96 | | | | | | | | | | | | | | | | | |
% 191.43/29.96 | | | | | | | | | | | | | | | | | | (419) (all_57_1 = e0 & ~ (all_57_7 = e3) & ~
% 191.43/29.96 | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 191.43/29.96 | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) & op(e3,
% 191.43/29.96 | | | | | | | | | | | | | | | | | | e3) = e0 & op(e3, e0) = all_57_7 & op(e0,
% 191.43/29.96 | | | | | | | | | | | | | | | | | | all_57_25) = all_57_24 & op(e0, all_57_27) =
% 191.43/29.96 | | | | | | | | | | | | | | | | | | all_57_26 & op(e0, all_57_29) = all_57_28 &
% 191.43/29.96 | | | | | | | | | | | | | | | | | | op(e0, all_57_31) = all_57_30 & op(e0, e3) =
% 191.43/29.96 | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_27 & op(e0, e1)
% 191.43/29.96 | | | | | | | | | | | | | | | | | | = all_57_29 & op(e0, e0) = all_57_31 &
% 191.43/29.96 | | | | | | | | | | | | | | | | | | $i(all_57_7) & $i(all_57_24) & $i(all_57_25) &
% 191.43/29.96 | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_27) & $i(all_57_28) &
% 191.43/29.96 | | | | | | | | | | | | | | | | | | $i(all_57_29) & $i(all_57_30) & $i(all_57_31)) |
% 191.43/29.96 | | | | | | | | | | | | | | | | | | (all_57_11 = e3 & ~ (all_57_0 = e3) & ~
% 191.43/29.96 | | | | | | | | | | | | | | | | | | (all_57_2 = e2) & ~ (all_57_4 = e1) & ~
% 191.43/29.96 | | | | | | | | | | | | | | | | | | (all_57_6 = e0) & ~ (all_57_9 = e2) & op(e3,
% 191.43/29.96 | | | | | | | | | | | | | | | | | | all_57_1) = all_57_0 & op(e3, all_57_3) =
% 191.43/29.96 | | | | | | | | | | | | | | | | | | all_57_2 & op(e3, all_57_5) = all_57_4 & op(e3,
% 191.43/29.96 | | | | | | | | | | | | | | | | | | all_57_7) = all_57_6 & op(e3, e3) = all_57_1 &
% 191.43/29.96 | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_3 & op(e3, e1) = all_57_5 &
% 191.43/29.96 | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_7 & op(e2, e3) = all_57_9 &
% 191.43/29.96 | | | | | | | | | | | | | | | | | | op(e2, e2) = e3 & $i(all_57_0) & $i(all_57_1) &
% 191.43/29.96 | | | | | | | | | | | | | | | | | | $i(all_57_2) & $i(all_57_3) & $i(all_57_4) &
% 191.43/29.96 | | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 191.43/29.96 | | | | | | | | | | | | | | | | | | $i(all_57_9))
% 191.43/29.96 | | | | | | | | | | | | | | | | | |
% 191.43/29.96 | | | | | | | | | | | | | | | | | | BETA: splitting (419) gives:
% 191.43/29.96 | | | | | | | | | | | | | | | | | |
% 191.43/29.96 | | | | | | | | | | | | | | | | | | Case 1:
% 191.43/29.96 | | | | | | | | | | | | | | | | | | |
% 191.43/29.96 | | | | | | | | | | | | | | | | | | | (420) all_57_1 = e0 & ~ (all_57_7 = e3) & ~ (all_57_24
% 191.43/29.96 | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_26 = e2) & ~ (all_57_28 =
% 191.43/29.96 | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_30 = e0) & op(e3, e3) = e0 &
% 191.43/29.96 | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_7 & op(e0, all_57_25) =
% 191.43/29.96 | | | | | | | | | | | | | | | | | | | all_57_24 & op(e0, all_57_27) = all_57_26 & op(e0,
% 191.43/29.96 | | | | | | | | | | | | | | | | | | | all_57_29) = all_57_28 & op(e0, all_57_31) =
% 191.43/29.96 | | | | | | | | | | | | | | | | | | | all_57_30 & op(e0, e3) = all_57_25 & op(e0, e2) =
% 191.43/29.96 | | | | | | | | | | | | | | | | | | | all_57_27 & op(e0, e1) = all_57_29 & op(e0, e0) =
% 191.43/29.96 | | | | | | | | | | | | | | | | | | | all_57_31 & $i(all_57_7) & $i(all_57_24) &
% 191.43/29.96 | | | | | | | | | | | | | | | | | | | $i(all_57_25) & $i(all_57_26) & $i(all_57_27) &
% 191.43/29.96 | | | | | | | | | | | | | | | | | | | $i(all_57_28) & $i(all_57_29) & $i(all_57_30) &
% 191.43/29.96 | | | | | | | | | | | | | | | | | | | $i(all_57_31)
% 191.43/29.96 | | | | | | | | | | | | | | | | | | |
% 191.43/29.96 | | | | | | | | | | | | | | | | | | | ALPHA: (420) implies:
% 191.43/29.96 | | | | | | | | | | | | | | | | | | | (421) all_57_1 = e0
% 191.43/29.96 | | | | | | | | | | | | | | | | | | | (422) ~ (all_57_7 = e3)
% 191.43/29.96 | | | | | | | | | | | | | | | | | | | (423) op(e0, e3) = all_57_25
% 191.43/29.96 | | | | | | | | | | | | | | | | | | | (424) op(e3, e0) = all_57_7
% 191.43/29.96 | | | | | | | | | | | | | | | | | | |
% 191.43/29.96 | | | | | | | | | | | | | | | | | | | BETA: splitting (238) gives:
% 191.43/29.96 | | | | | | | | | | | | | | | | | | |
% 191.43/29.96 | | | | | | | | | | | | | | | | | | | Case 1:
% 191.43/29.96 | | | | | | | | | | | | | | | | | | | |
% 191.43/29.97 | | | | | | | | | | | | | | | | | | | | (425) (all_57_3 = e3 & ~ (all_57_1 = e2) & ~ (all_57_8
% 191.43/29.97 | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_10 = e2) & ~ (all_57_12 =
% 191.43/29.97 | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_14 = e0) & op(e3, e3) =
% 191.43/29.97 | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e2) = e3 & op(e2, all_57_9) =
% 191.43/29.97 | | | | | | | | | | | | | | | | | | | | all_57_8 & op(e2, all_57_11) = all_57_10 &
% 191.43/29.97 | | | | | | | | | | | | | | | | | | | | op(e2, all_57_13) = all_57_12 & op(e2,
% 191.43/29.97 | | | | | | | | | | | | | | | | | | | | all_57_15) = all_57_14 & op(e2, e3) = all_57_9
% 191.43/29.97 | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = all_57_11 & op(e2, e1) =
% 191.43/29.97 | | | | | | | | | | | | | | | | | | | | all_57_13 & op(e2, e0) = all_57_15 &
% 191.43/29.97 | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_8) & $i(all_57_9) &
% 191.43/29.97 | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & $i(all_57_11) & $i(all_57_12) &
% 191.43/29.97 | | | | | | | | | | | | | | | | | | | | $i(all_57_13) & $i(all_57_14) & $i(all_57_15)) |
% 191.43/29.97 | | | | | | | | | | | | | | | | | | | | (all_57_5 = e3 & ~ (all_57_1 = e1) & ~
% 191.43/29.97 | | | | | | | | | | | | | | | | | | | | (all_57_16 = e3) & ~ (all_57_18 = e2) & ~
% 191.43/29.97 | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_22 = e0) & op(e3,
% 191.43/29.97 | | | | | | | | | | | | | | | | | | | | e3) = all_57_1 & op(e3, e1) = e3 & op(e1,
% 191.43/29.97 | | | | | | | | | | | | | | | | | | | | all_57_17) = all_57_16 & op(e1, all_57_19) =
% 191.43/29.97 | | | | | | | | | | | | | | | | | | | | all_57_18 & op(e1, all_57_21) = all_57_20 &
% 191.43/29.97 | | | | | | | | | | | | | | | | | | | | op(e1, all_57_23) = all_57_22 & op(e1, e3) =
% 191.43/29.97 | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e1, e2) = all_57_19 & op(e1, e1)
% 191.43/29.97 | | | | | | | | | | | | | | | | | | | | = all_57_21 & op(e1, e0) = all_57_23 &
% 191.43/29.97 | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_16) & $i(all_57_17) &
% 191.43/29.97 | | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_19) & $i(all_57_20) &
% 191.43/29.97 | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_22) & $i(all_57_23)) |
% 191.43/29.97 | | | | | | | | | | | | | | | | | | | | (all_57_7 = e3 & ~ (all_57_1 = e0) & ~
% 191.43/29.97 | | | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 191.43/29.97 | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) & op(e3,
% 191.43/29.97 | | | | | | | | | | | | | | | | | | | | e3) = all_57_1 & op(e3, e0) = e3 & op(e0,
% 191.43/29.97 | | | | | | | | | | | | | | | | | | | | all_57_25) = all_57_24 & op(e0, all_57_27) =
% 191.43/29.97 | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e0, all_57_29) = all_57_28 &
% 191.43/29.97 | | | | | | | | | | | | | | | | | | | | op(e0, all_57_31) = all_57_30 & op(e0, e3) =
% 191.43/29.97 | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_27 & op(e0, e1)
% 191.43/29.97 | | | | | | | | | | | | | | | | | | | | = all_57_29 & op(e0, e0) = all_57_31 &
% 191.43/29.97 | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_24) & $i(all_57_25) &
% 191.43/29.97 | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_27) & $i(all_57_28) &
% 191.43/29.97 | | | | | | | | | | | | | | | | | | | | $i(all_57_29) & $i(all_57_30) & $i(all_57_31)) |
% 191.43/29.97 | | | | | | | | | | | | | | | | | | | | (all_57_9 = e2 & ~ (all_57_0 = e3) & ~ (all_57_2
% 191.43/29.97 | | | | | | | | | | | | | | | | | | | | = e2) & ~ (all_57_4 = e1) & ~ (all_57_6 =
% 191.43/29.97 | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_11 = e3) & op(e3, all_57_1) =
% 191.43/29.97 | | | | | | | | | | | | | | | | | | | | all_57_0 & op(e3, all_57_3) = all_57_2 & op(e3,
% 191.43/29.97 | | | | | | | | | | | | | | | | | | | | all_57_5) = all_57_4 & op(e3, all_57_7) =
% 191.43/29.97 | | | | | | | | | | | | | | | | | | | | all_57_6 & op(e3, e3) = all_57_1 & op(e3, e2) =
% 191.43/29.97 | | | | | | | | | | | | | | | | | | | | all_57_3 & op(e3, e1) = all_57_5 & op(e3, e0) =
% 191.43/29.97 | | | | | | | | | | | | | | | | | | | | all_57_7 & op(e2, e3) = e2 & op(e2, e2) =
% 191.43/29.97 | | | | | | | | | | | | | | | | | | | | all_57_11 & $i(all_57_0) & $i(all_57_1) &
% 191.43/29.97 | | | | | | | | | | | | | | | | | | | | $i(all_57_2) & $i(all_57_3) & $i(all_57_4) &
% 191.43/29.97 | | | | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 191.43/29.97 | | | | | | | | | | | | | | | | | | | | $i(all_57_11))
% 191.43/29.97 | | | | | | | | | | | | | | | | | | | |
% 191.43/29.97 | | | | | | | | | | | | | | | | | | | | BETA: splitting (425) gives:
% 191.43/29.97 | | | | | | | | | | | | | | | | | | | |
% 191.43/29.97 | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.43/29.97 | | | | | | | | | | | | | | | | | | | | |
% 191.43/29.97 | | | | | | | | | | | | | | | | | | | | | (426) (all_57_3 = e3 & ~ (all_57_1 = e2) & ~ (all_57_8
% 191.43/29.97 | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_10 = e2) & ~ (all_57_12 =
% 191.43/29.97 | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_14 = e0) & op(e3, e3) =
% 191.43/29.97 | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e2) = e3 & op(e2, all_57_9) =
% 191.43/29.97 | | | | | | | | | | | | | | | | | | | | | all_57_8 & op(e2, all_57_11) = all_57_10 &
% 191.43/29.97 | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_13) = all_57_12 & op(e2,
% 191.43/29.97 | | | | | | | | | | | | | | | | | | | | | all_57_15) = all_57_14 & op(e2, e3) = all_57_9
% 191.43/29.97 | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = all_57_11 & op(e2, e1) =
% 191.43/29.97 | | | | | | | | | | | | | | | | | | | | | all_57_13 & op(e2, e0) = all_57_15 &
% 191.43/29.97 | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_8) & $i(all_57_9) &
% 191.43/29.97 | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & $i(all_57_11) & $i(all_57_12) &
% 191.43/29.97 | | | | | | | | | | | | | | | | | | | | | $i(all_57_13) & $i(all_57_14) & $i(all_57_15)) |
% 191.43/29.97 | | | | | | | | | | | | | | | | | | | | | (all_57_5 = e3 & ~ (all_57_1 = e1) & ~
% 191.43/29.97 | | | | | | | | | | | | | | | | | | | | | (all_57_16 = e3) & ~ (all_57_18 = e2) & ~
% 191.43/29.97 | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_22 = e0) & op(e3,
% 191.43/29.97 | | | | | | | | | | | | | | | | | | | | | e3) = all_57_1 & op(e3, e1) = e3 & op(e1,
% 191.43/29.97 | | | | | | | | | | | | | | | | | | | | | all_57_17) = all_57_16 & op(e1, all_57_19) =
% 191.43/29.97 | | | | | | | | | | | | | | | | | | | | | all_57_18 & op(e1, all_57_21) = all_57_20 &
% 191.43/29.97 | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_23) = all_57_22 & op(e1, e3) =
% 191.43/29.97 | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e1, e2) = all_57_19 & op(e1, e1)
% 191.43/29.97 | | | | | | | | | | | | | | | | | | | | | = all_57_21 & op(e1, e0) = all_57_23 &
% 191.43/29.97 | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_16) & $i(all_57_17) &
% 191.43/29.97 | | | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_19) & $i(all_57_20) &
% 191.43/29.97 | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_22) & $i(all_57_23))
% 191.43/29.97 | | | | | | | | | | | | | | | | | | | | |
% 191.43/29.97 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (158), (162), (170), (227), (390), (391), (392),
% 191.43/29.97 | | | | | | | | | | | | | | | | | | | | | (416), (426), (function-axioms) are inconsistent
% 191.43/29.97 | | | | | | | | | | | | | | | | | | | | | by sub-proof #1946.
% 191.43/29.97 | | | | | | | | | | | | | | | | | | | | |
% 191.43/29.97 | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.43/29.97 | | | | | | | | | | | | | | | | | | | | |
% 191.43/29.97 | | | | | | | | | | | | | | | | | | | | | (427) (all_57_7 = e3 & ~ (all_57_1 = e0) & ~
% 191.43/29.97 | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 191.43/29.97 | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) & op(e3,
% 191.43/29.97 | | | | | | | | | | | | | | | | | | | | | e3) = all_57_1 & op(e3, e0) = e3 & op(e0,
% 191.43/29.97 | | | | | | | | | | | | | | | | | | | | | all_57_25) = all_57_24 & op(e0, all_57_27) =
% 191.43/29.97 | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e0, all_57_29) = all_57_28 &
% 191.43/29.97 | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_31) = all_57_30 & op(e0, e3) =
% 191.43/29.97 | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_27 & op(e0, e1)
% 191.43/29.97 | | | | | | | | | | | | | | | | | | | | | = all_57_29 & op(e0, e0) = all_57_31 &
% 191.43/29.97 | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_24) & $i(all_57_25) &
% 191.43/29.97 | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_27) & $i(all_57_28) &
% 191.43/29.97 | | | | | | | | | | | | | | | | | | | | | $i(all_57_29) & $i(all_57_30) & $i(all_57_31)) |
% 191.43/29.97 | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e2 & ~ (all_57_0 = e3) & ~ (all_57_2
% 191.43/29.97 | | | | | | | | | | | | | | | | | | | | | = e2) & ~ (all_57_4 = e1) & ~ (all_57_6 =
% 191.43/29.97 | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_11 = e3) & op(e3, all_57_1) =
% 191.43/29.97 | | | | | | | | | | | | | | | | | | | | | all_57_0 & op(e3, all_57_3) = all_57_2 & op(e3,
% 191.43/29.97 | | | | | | | | | | | | | | | | | | | | | all_57_5) = all_57_4 & op(e3, all_57_7) =
% 191.43/29.97 | | | | | | | | | | | | | | | | | | | | | all_57_6 & op(e3, e3) = all_57_1 & op(e3, e2) =
% 191.43/29.97 | | | | | | | | | | | | | | | | | | | | | all_57_3 & op(e3, e1) = all_57_5 & op(e3, e0) =
% 191.43/29.97 | | | | | | | | | | | | | | | | | | | | | all_57_7 & op(e2, e3) = e2 & op(e2, e2) =
% 191.43/29.97 | | | | | | | | | | | | | | | | | | | | | all_57_11 & $i(all_57_0) & $i(all_57_1) &
% 191.43/29.97 | | | | | | | | | | | | | | | | | | | | | $i(all_57_2) & $i(all_57_3) & $i(all_57_4) &
% 191.43/29.97 | | | | | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 191.43/29.97 | | | | | | | | | | | | | | | | | | | | | $i(all_57_11))
% 191.43/29.97 | | | | | | | | | | | | | | | | | | | | |
% 191.43/29.97 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (167), (389), (422), (424), (427),
% 191.43/29.97 | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 191.43/29.97 | | | | | | | | | | | | | | | | | | | | | #1943.
% 191.43/29.97 | | | | | | | | | | | | | | | | | | | | |
% 191.43/29.97 | | | | | | | | | | | | | | | | | | | | End of split
% 191.43/29.97 | | | | | | | | | | | | | | | | | | | |
% 191.43/29.97 | | | | | | | | | | | | | | | | | | | Case 2:
% 191.43/29.97 | | | | | | | | | | | | | | | | | | | |
% 191.43/29.98 | | | | | | | | | | | | | | | | | | | | (428) (all_57_13 = e2 & ~ (all_57_11 = e1) & ~
% 191.43/29.98 | | | | | | | | | | | | | | | | | | | | (all_57_16 = e3) & ~ (all_57_18 = e2) & ~
% 191.43/29.98 | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_22 = e0) & op(e2,
% 191.43/29.98 | | | | | | | | | | | | | | | | | | | | e2) = all_57_11 & op(e2, e1) = e2 & op(e1,
% 191.43/29.98 | | | | | | | | | | | | | | | | | | | | all_57_17) = all_57_16 & op(e1, all_57_19) =
% 191.43/29.98 | | | | | | | | | | | | | | | | | | | | all_57_18 & op(e1, all_57_21) = all_57_20 &
% 191.43/29.98 | | | | | | | | | | | | | | | | | | | | op(e1, all_57_23) = all_57_22 & op(e1, e3) =
% 191.43/29.98 | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e1, e2) = all_57_19 & op(e1, e1)
% 191.43/29.98 | | | | | | | | | | | | | | | | | | | | = all_57_21 & op(e1, e0) = all_57_23 &
% 191.43/29.98 | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_16) & $i(all_57_17) &
% 191.43/29.98 | | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_19) & $i(all_57_20) &
% 191.43/29.98 | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_22) & $i(all_57_23)) |
% 191.43/29.98 | | | | | | | | | | | | | | | | | | | | (all_57_15 = e2 & ~ (all_57_11 = e0) & ~
% 191.43/29.98 | | | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 191.43/29.98 | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) & op(e2,
% 191.43/29.98 | | | | | | | | | | | | | | | | | | | | e2) = all_57_11 & op(e2, e0) = e2 & op(e0,
% 191.43/29.98 | | | | | | | | | | | | | | | | | | | | all_57_25) = all_57_24 & op(e0, all_57_27) =
% 191.43/29.98 | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e0, all_57_29) = all_57_28 &
% 191.43/29.98 | | | | | | | | | | | | | | | | | | | | op(e0, all_57_31) = all_57_30 & op(e0, e3) =
% 191.43/29.98 | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_27 & op(e0, e1)
% 191.43/29.98 | | | | | | | | | | | | | | | | | | | | = all_57_29 & op(e0, e0) = all_57_31 &
% 191.43/29.98 | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_24) & $i(all_57_25) &
% 191.43/29.98 | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_27) & $i(all_57_28) &
% 191.43/29.98 | | | | | | | | | | | | | | | | | | | | $i(all_57_29) & $i(all_57_30) & $i(all_57_31)) |
% 191.43/29.98 | | | | | | | | | | | | | | | | | | | | (all_57_17 = e1 & ~ (all_57_0 = e3) & ~
% 191.43/29.98 | | | | | | | | | | | | | | | | | | | | (all_57_2 = e2) & ~ (all_57_4 = e1) & ~
% 191.43/29.98 | | | | | | | | | | | | | | | | | | | | (all_57_6 = e0) & ~ (all_57_21 = e3) & op(e3,
% 191.43/29.98 | | | | | | | | | | | | | | | | | | | | all_57_1) = all_57_0 & op(e3, all_57_3) =
% 191.43/29.98 | | | | | | | | | | | | | | | | | | | | all_57_2 & op(e3, all_57_5) = all_57_4 & op(e3,
% 191.43/29.98 | | | | | | | | | | | | | | | | | | | | all_57_7) = all_57_6 & op(e3, e3) = all_57_1 &
% 191.43/29.98 | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_3 & op(e3, e1) = all_57_5 &
% 191.43/29.98 | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_7 & op(e1, e3) = e1 & op(e1,
% 191.43/29.98 | | | | | | | | | | | | | | | | | | | | e1) = all_57_21 & $i(all_57_0) & $i(all_57_1)
% 191.43/29.98 | | | | | | | | | | | | | | | | | | | | & $i(all_57_2) & $i(all_57_3) & $i(all_57_4) &
% 191.43/29.98 | | | | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 191.43/29.98 | | | | | | | | | | | | | | | | | | | | $i(all_57_21)) | (all_57_19 = e1 & ~ (all_57_8
% 191.43/29.98 | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_10 = e2) & ~ (all_57_12 =
% 191.43/29.98 | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_14 = e0) & ~ (all_57_21 =
% 191.43/29.98 | | | | | | | | | | | | | | | | | | | | e2) & op(e2, all_57_9) = all_57_8 & op(e2,
% 191.43/29.98 | | | | | | | | | | | | | | | | | | | | all_57_11) = all_57_10 & op(e2, all_57_13) =
% 191.43/29.98 | | | | | | | | | | | | | | | | | | | | all_57_12 & op(e2, all_57_15) = all_57_14 &
% 191.43/29.98 | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_9 & op(e2, e2) = all_57_11 &
% 191.43/29.98 | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_57_13 & op(e2, e0) = all_57_15
% 191.43/29.98 | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e1 & op(e1, e1) = all_57_21 &
% 191.43/29.98 | | | | | | | | | | | | | | | | | | | | $i(all_57_8) & $i(all_57_9) & $i(all_57_10) &
% 191.43/29.98 | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_12) & $i(all_57_13) &
% 191.43/29.98 | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & $i(all_57_15) & $i(all_57_21)) |
% 191.43/29.98 | | | | | | | | | | | | | | | | | | | | (op(e0, e0) = all_57_31 & $i(all_57_31) &
% 191.43/29.98 | | | | | | | | | | | | | | | | | | | | ((all_57_23 = e1 & ~ (all_57_21 = e0) & ~
% 191.43/29.98 | | | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 191.43/29.98 | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) &
% 191.43/29.98 | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_21 & op(e1, e0) = e1 &
% 191.43/29.98 | | | | | | | | | | | | | | | | | | | | op(e0, all_57_25) = all_57_24 & op(e0,
% 191.43/29.98 | | | | | | | | | | | | | | | | | | | | all_57_27) = all_57_26 & op(e0, all_57_29)
% 191.43/29.98 | | | | | | | | | | | | | | | | | | | | = all_57_28 & op(e0, all_57_31) = all_57_30
% 191.43/29.98 | | | | | | | | | | | | | | | | | | | | & op(e0, e3) = all_57_25 & op(e0, e2) =
% 191.43/29.98 | | | | | | | | | | | | | | | | | | | | all_57_27 & op(e0, e1) = all_57_29 &
% 191.43/29.98 | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_24) &
% 191.43/29.98 | | | | | | | | | | | | | | | | | | | | $i(all_57_25) & $i(all_57_26) &
% 191.43/29.98 | | | | | | | | | | | | | | | | | | | | $i(all_57_27) & $i(all_57_28) &
% 191.43/29.98 | | | | | | | | | | | | | | | | | | | | $i(all_57_29) & $i(all_57_30)) | (all_57_25
% 191.43/29.98 | | | | | | | | | | | | | | | | | | | | = e0 & ~ (all_57_0 = e3) & ~ (all_57_2 =
% 191.43/29.98 | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_4 = e1) & ~ (all_57_6 =
% 191.43/29.98 | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_31 = e3) & op(e3,
% 191.43/29.98 | | | | | | | | | | | | | | | | | | | | all_57_1) = all_57_0 & op(e3, all_57_3) =
% 191.43/29.98 | | | | | | | | | | | | | | | | | | | | all_57_2 & op(e3, all_57_5) = all_57_4 &
% 191.43/29.98 | | | | | | | | | | | | | | | | | | | | op(e3, all_57_7) = all_57_6 & op(e3, e3) =
% 191.43/29.98 | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e2) = all_57_3 & op(e3,
% 191.43/29.98 | | | | | | | | | | | | | | | | | | | | e1) = all_57_5 & op(e3, e0) = all_57_7 &
% 191.43/29.98 | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_0) &
% 191.43/29.98 | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_2) & $i(all_57_3) &
% 191.43/29.98 | | | | | | | | | | | | | | | | | | | | $i(all_57_4) & $i(all_57_5) & $i(all_57_6) &
% 191.43/29.98 | | | | | | | | | | | | | | | | | | | | $i(all_57_7)) | (all_57_27 = e0 & ~
% 191.43/29.98 | | | | | | | | | | | | | | | | | | | | (all_57_8 = e3) & ~ (all_57_10 = e2) & ~
% 191.43/29.98 | | | | | | | | | | | | | | | | | | | | (all_57_12 = e1) & ~ (all_57_14 = e0) & ~
% 191.43/29.98 | | | | | | | | | | | | | | | | | | | | (all_57_31 = e2) & op(e2, all_57_9) =
% 191.43/29.98 | | | | | | | | | | | | | | | | | | | | all_57_8 & op(e2, all_57_11) = all_57_10 &
% 191.43/29.98 | | | | | | | | | | | | | | | | | | | | op(e2, all_57_13) = all_57_12 & op(e2,
% 191.43/29.98 | | | | | | | | | | | | | | | | | | | | all_57_15) = all_57_14 & op(e2, e3) =
% 191.43/29.98 | | | | | | | | | | | | | | | | | | | | all_57_9 & op(e2, e2) = all_57_11 & op(e2,
% 191.43/29.98 | | | | | | | | | | | | | | | | | | | | e1) = all_57_13 & op(e2, e0) = all_57_15 &
% 191.43/29.98 | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_8) &
% 191.43/29.98 | | | | | | | | | | | | | | | | | | | | $i(all_57_9) & $i(all_57_10) & $i(all_57_11)
% 191.43/29.98 | | | | | | | | | | | | | | | | | | | | & $i(all_57_12) & $i(all_57_13) &
% 191.43/29.98 | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & $i(all_57_15)) | (all_57_29
% 191.43/29.98 | | | | | | | | | | | | | | | | | | | | = e0 & ~ (all_57_16 = e3) & ~ (all_57_18 =
% 191.43/29.98 | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_20 = e1) & ~ (all_57_22
% 191.43/29.98 | | | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_31 = e1) & op(e1,
% 191.43/29.98 | | | | | | | | | | | | | | | | | | | | all_57_17) = all_57_16 & op(e1, all_57_19)
% 191.43/29.98 | | | | | | | | | | | | | | | | | | | | = all_57_18 & op(e1, all_57_21) = all_57_20
% 191.43/29.98 | | | | | | | | | | | | | | | | | | | | & op(e1, all_57_23) = all_57_22 & op(e1, e3)
% 191.43/29.98 | | | | | | | | | | | | | | | | | | | | = all_57_17 & op(e1, e2) = all_57_19 &
% 191.43/29.98 | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_21 & op(e1, e0) =
% 191.43/29.98 | | | | | | | | | | | | | | | | | | | | all_57_23 & op(e0, e1) = e0 & $i(all_57_16)
% 191.43/29.98 | | | | | | | | | | | | | | | | | | | | & $i(all_57_17) & $i(all_57_18) &
% 191.43/29.98 | | | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_20) &
% 191.43/29.98 | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_22) &
% 191.43/29.98 | | | | | | | | | | | | | | | | | | | | $i(all_57_23))))
% 191.43/29.98 | | | | | | | | | | | | | | | | | | | |
% 191.43/29.98 | | | | | | | | | | | | | | | | | | | | BETA: splitting (428) gives:
% 191.43/29.98 | | | | | | | | | | | | | | | | | | | |
% 191.43/29.98 | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.43/29.98 | | | | | | | | | | | | | | | | | | | | |
% 191.43/29.98 | | | | | | | | | | | | | | | | | | | | | (429) (all_57_13 = e2 & ~ (all_57_11 = e1) & ~
% 191.43/29.98 | | | | | | | | | | | | | | | | | | | | | (all_57_16 = e3) & ~ (all_57_18 = e2) & ~
% 191.43/29.98 | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_22 = e0) & op(e2,
% 191.43/29.98 | | | | | | | | | | | | | | | | | | | | | e2) = all_57_11 & op(e2, e1) = e2 & op(e1,
% 191.43/29.98 | | | | | | | | | | | | | | | | | | | | | all_57_17) = all_57_16 & op(e1, all_57_19) =
% 191.43/29.98 | | | | | | | | | | | | | | | | | | | | | all_57_18 & op(e1, all_57_21) = all_57_20 &
% 191.43/29.98 | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_23) = all_57_22 & op(e1, e3) =
% 191.43/29.98 | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e1, e2) = all_57_19 & op(e1, e1)
% 191.43/29.98 | | | | | | | | | | | | | | | | | | | | | = all_57_21 & op(e1, e0) = all_57_23 &
% 191.43/29.98 | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_16) & $i(all_57_17) &
% 191.43/29.98 | | | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_19) & $i(all_57_20) &
% 191.43/29.98 | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_22) & $i(all_57_23)) |
% 191.43/29.98 | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e2 & ~ (all_57_11 = e0) & ~
% 191.43/29.98 | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 191.43/29.98 | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) & op(e2,
% 191.43/29.98 | | | | | | | | | | | | | | | | | | | | | e2) = all_57_11 & op(e2, e0) = e2 & op(e0,
% 191.43/29.98 | | | | | | | | | | | | | | | | | | | | | all_57_25) = all_57_24 & op(e0, all_57_27) =
% 191.43/29.98 | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e0, all_57_29) = all_57_28 &
% 191.43/29.98 | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_31) = all_57_30 & op(e0, e3) =
% 191.43/29.98 | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_27 & op(e0, e1)
% 191.43/29.98 | | | | | | | | | | | | | | | | | | | | | = all_57_29 & op(e0, e0) = all_57_31 &
% 191.43/29.98 | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_24) & $i(all_57_25) &
% 191.43/29.98 | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_27) & $i(all_57_28) &
% 191.43/29.98 | | | | | | | | | | | | | | | | | | | | | $i(all_57_29) & $i(all_57_30) & $i(all_57_31))
% 191.43/29.98 | | | | | | | | | | | | | | | | | | | | |
% 191.43/29.98 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (165), (393), (394), (429),
% 191.43/29.98 | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 191.43/29.98 | | | | | | | | | | | | | | | | | | | | | #1940.
% 191.43/29.98 | | | | | | | | | | | | | | | | | | | | |
% 191.43/29.98 | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.43/29.98 | | | | | | | | | | | | | | | | | | | | |
% 191.43/29.98 | | | | | | | | | | | | | | | | | | | | | (430) (all_57_17 = e1 & ~ (all_57_0 = e3) & ~
% 191.43/29.98 | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e2) & ~ (all_57_4 = e1) & ~
% 191.43/29.98 | | | | | | | | | | | | | | | | | | | | | (all_57_6 = e0) & ~ (all_57_21 = e3) & op(e3,
% 191.43/29.98 | | | | | | | | | | | | | | | | | | | | | all_57_1) = all_57_0 & op(e3, all_57_3) =
% 191.43/29.98 | | | | | | | | | | | | | | | | | | | | | all_57_2 & op(e3, all_57_5) = all_57_4 & op(e3,
% 191.43/29.98 | | | | | | | | | | | | | | | | | | | | | all_57_7) = all_57_6 & op(e3, e3) = all_57_1 &
% 191.43/29.98 | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_3 & op(e3, e1) = all_57_5 &
% 191.43/29.98 | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_7 & op(e1, e3) = e1 & op(e1,
% 191.43/29.98 | | | | | | | | | | | | | | | | | | | | | e1) = all_57_21 & $i(all_57_0) & $i(all_57_1)
% 191.43/29.98 | | | | | | | | | | | | | | | | | | | | | & $i(all_57_2) & $i(all_57_3) & $i(all_57_4) &
% 191.43/29.98 | | | | | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 191.43/29.98 | | | | | | | | | | | | | | | | | | | | | $i(all_57_21)) | (all_57_19 = e1 & ~ (all_57_8
% 191.43/29.98 | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_10 = e2) & ~ (all_57_12 =
% 191.43/29.98 | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_14 = e0) & ~ (all_57_21 =
% 191.43/29.98 | | | | | | | | | | | | | | | | | | | | | e2) & op(e2, all_57_9) = all_57_8 & op(e2,
% 191.43/29.98 | | | | | | | | | | | | | | | | | | | | | all_57_11) = all_57_10 & op(e2, all_57_13) =
% 191.43/29.98 | | | | | | | | | | | | | | | | | | | | | all_57_12 & op(e2, all_57_15) = all_57_14 &
% 191.43/29.98 | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_9 & op(e2, e2) = all_57_11 &
% 191.43/29.98 | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_57_13 & op(e2, e0) = all_57_15
% 191.43/29.98 | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e1 & op(e1, e1) = all_57_21 &
% 191.43/29.98 | | | | | | | | | | | | | | | | | | | | | $i(all_57_8) & $i(all_57_9) & $i(all_57_10) &
% 191.43/29.98 | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_12) & $i(all_57_13) &
% 191.43/29.98 | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & $i(all_57_15) & $i(all_57_21)) |
% 191.43/29.98 | | | | | | | | | | | | | | | | | | | | | (op(e0, e0) = all_57_31 & $i(all_57_31) &
% 191.43/29.98 | | | | | | | | | | | | | | | | | | | | | ((all_57_23 = e1 & ~ (all_57_21 = e0) & ~
% 191.43/29.98 | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 191.43/29.98 | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) &
% 191.43/29.98 | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_21 & op(e1, e0) = e1 &
% 191.43/29.98 | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_25) = all_57_24 & op(e0,
% 191.43/29.98 | | | | | | | | | | | | | | | | | | | | | all_57_27) = all_57_26 & op(e0, all_57_29)
% 191.43/29.98 | | | | | | | | | | | | | | | | | | | | | = all_57_28 & op(e0, all_57_31) = all_57_30
% 191.43/29.98 | | | | | | | | | | | | | | | | | | | | | & op(e0, e3) = all_57_25 & op(e0, e2) =
% 191.43/29.98 | | | | | | | | | | | | | | | | | | | | | all_57_27 & op(e0, e1) = all_57_29 &
% 191.43/29.98 | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_24) &
% 191.43/29.98 | | | | | | | | | | | | | | | | | | | | | $i(all_57_25) & $i(all_57_26) &
% 191.43/29.98 | | | | | | | | | | | | | | | | | | | | | $i(all_57_27) & $i(all_57_28) &
% 191.43/29.98 | | | | | | | | | | | | | | | | | | | | | $i(all_57_29) & $i(all_57_30)) | (all_57_25
% 191.43/29.98 | | | | | | | | | | | | | | | | | | | | | = e0 & ~ (all_57_0 = e3) & ~ (all_57_2 =
% 191.43/29.98 | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_4 = e1) & ~ (all_57_6 =
% 191.43/29.98 | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_31 = e3) & op(e3,
% 191.43/29.98 | | | | | | | | | | | | | | | | | | | | | all_57_1) = all_57_0 & op(e3, all_57_3) =
% 191.43/29.98 | | | | | | | | | | | | | | | | | | | | | all_57_2 & op(e3, all_57_5) = all_57_4 &
% 191.43/29.98 | | | | | | | | | | | | | | | | | | | | | op(e3, all_57_7) = all_57_6 & op(e3, e3) =
% 191.43/29.98 | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e2) = all_57_3 & op(e3,
% 191.43/29.98 | | | | | | | | | | | | | | | | | | | | | e1) = all_57_5 & op(e3, e0) = all_57_7 &
% 191.43/29.98 | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_0) &
% 191.43/29.98 | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_2) & $i(all_57_3) &
% 191.43/29.98 | | | | | | | | | | | | | | | | | | | | | $i(all_57_4) & $i(all_57_5) & $i(all_57_6) &
% 191.43/29.98 | | | | | | | | | | | | | | | | | | | | | $i(all_57_7)) | (all_57_27 = e0 & ~
% 191.43/29.98 | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e3) & ~ (all_57_10 = e2) & ~
% 191.43/29.98 | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e1) & ~ (all_57_14 = e0) & ~
% 191.43/29.98 | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e2) & op(e2, all_57_9) =
% 191.43/29.98 | | | | | | | | | | | | | | | | | | | | | all_57_8 & op(e2, all_57_11) = all_57_10 &
% 191.43/29.98 | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_13) = all_57_12 & op(e2,
% 191.43/29.98 | | | | | | | | | | | | | | | | | | | | | all_57_15) = all_57_14 & op(e2, e3) =
% 191.43/29.98 | | | | | | | | | | | | | | | | | | | | | all_57_9 & op(e2, e2) = all_57_11 & op(e2,
% 191.43/29.98 | | | | | | | | | | | | | | | | | | | | | e1) = all_57_13 & op(e2, e0) = all_57_15 &
% 191.43/29.98 | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_8) &
% 191.43/29.98 | | | | | | | | | | | | | | | | | | | | | $i(all_57_9) & $i(all_57_10) & $i(all_57_11)
% 191.43/29.98 | | | | | | | | | | | | | | | | | | | | | & $i(all_57_12) & $i(all_57_13) &
% 191.43/29.98 | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & $i(all_57_15)) | (all_57_29
% 191.43/29.98 | | | | | | | | | | | | | | | | | | | | | = e0 & ~ (all_57_16 = e3) & ~ (all_57_18 =
% 191.43/29.98 | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_20 = e1) & ~ (all_57_22
% 191.43/29.98 | | | | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_31 = e1) & op(e1,
% 191.43/29.98 | | | | | | | | | | | | | | | | | | | | | all_57_17) = all_57_16 & op(e1, all_57_19)
% 191.43/29.98 | | | | | | | | | | | | | | | | | | | | | = all_57_18 & op(e1, all_57_21) = all_57_20
% 191.43/29.98 | | | | | | | | | | | | | | | | | | | | | & op(e1, all_57_23) = all_57_22 & op(e1, e3)
% 191.43/29.98 | | | | | | | | | | | | | | | | | | | | | = all_57_17 & op(e1, e2) = all_57_19 &
% 191.43/29.98 | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_21 & op(e1, e0) =
% 191.43/29.98 | | | | | | | | | | | | | | | | | | | | | all_57_23 & op(e0, e1) = e0 & $i(all_57_16)
% 191.43/29.98 | | | | | | | | | | | | | | | | | | | | | & $i(all_57_17) & $i(all_57_18) &
% 191.43/29.98 | | | | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_20) &
% 191.43/29.98 | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_22) &
% 191.43/29.98 | | | | | | | | | | | | | | | | | | | | | $i(all_57_23))))
% 191.43/29.98 | | | | | | | | | | | | | | | | | | | | |
% 191.43/29.98 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (430) gives:
% 191.43/29.98 | | | | | | | | | | | | | | | | | | | | |
% 191.43/29.98 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.43/29.98 | | | | | | | | | | | | | | | | | | | | | |
% 191.43/29.98 | | | | | | | | | | | | | | | | | | | | | | (431) all_57_17 = e1 & ~ (all_57_0 = e3) & ~ (all_57_2
% 191.43/29.98 | | | | | | | | | | | | | | | | | | | | | | = e2) & ~ (all_57_4 = e1) & ~ (all_57_6 = e0)
% 191.43/29.98 | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_21 = e3) & op(e3, all_57_1) =
% 191.43/29.98 | | | | | | | | | | | | | | | | | | | | | | all_57_0 & op(e3, all_57_3) = all_57_2 & op(e3,
% 191.43/29.98 | | | | | | | | | | | | | | | | | | | | | | all_57_5) = all_57_4 & op(e3, all_57_7) =
% 191.43/29.98 | | | | | | | | | | | | | | | | | | | | | | all_57_6 & op(e3, e3) = all_57_1 & op(e3, e2) =
% 191.43/29.98 | | | | | | | | | | | | | | | | | | | | | | all_57_3 & op(e3, e1) = all_57_5 & op(e3, e0) =
% 191.43/29.98 | | | | | | | | | | | | | | | | | | | | | | all_57_7 & op(e1, e3) = e1 & op(e1, e1) =
% 191.43/29.98 | | | | | | | | | | | | | | | | | | | | | | all_57_21 & $i(all_57_0) & $i(all_57_1) &
% 191.43/29.98 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_2) & $i(all_57_3) & $i(all_57_4) &
% 191.43/29.98 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 191.43/29.98 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21)
% 191.43/29.98 | | | | | | | | | | | | | | | | | | | | | |
% 191.43/29.98 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (431) implies:
% 191.43/29.98 | | | | | | | | | | | | | | | | | | | | | | (432) op(e1, e3) = e1
% 191.43/29.98 | | | | | | | | | | | | | | | | | | | | | |
% 191.43/29.98 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (163), (412), (432), (function-axioms) are
% 191.43/29.98 | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1939.
% 191.43/29.98 | | | | | | | | | | | | | | | | | | | | | |
% 191.43/29.99 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.43/29.99 | | | | | | | | | | | | | | | | | | | | | |
% 191.43/29.99 | | | | | | | | | | | | | | | | | | | | | | (433) (all_57_19 = e1 & ~ (all_57_8 = e3) & ~
% 191.43/29.99 | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e2) & ~ (all_57_12 = e1) & ~
% 191.43/29.99 | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e0) & ~ (all_57_21 = e2) & op(e2,
% 191.43/29.99 | | | | | | | | | | | | | | | | | | | | | | all_57_9) = all_57_8 & op(e2, all_57_11) =
% 191.43/29.99 | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e2, all_57_13) = all_57_12 &
% 191.43/29.99 | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_15) = all_57_14 & op(e2, e3) =
% 191.43/29.99 | | | | | | | | | | | | | | | | | | | | | | all_57_9 & op(e2, e2) = all_57_11 & op(e2, e1) =
% 191.43/29.99 | | | | | | | | | | | | | | | | | | | | | | all_57_13 & op(e2, e0) = all_57_15 & op(e1, e2)
% 191.43/29.99 | | | | | | | | | | | | | | | | | | | | | | = e1 & op(e1, e1) = all_57_21 & $i(all_57_8) &
% 191.43/29.99 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9) & $i(all_57_10) & $i(all_57_11) &
% 191.43/29.99 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & $i(all_57_13) & $i(all_57_14) &
% 191.43/29.99 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & $i(all_57_21)) | (op(e0, e0) =
% 191.43/29.99 | | | | | | | | | | | | | | | | | | | | | | all_57_31 & $i(all_57_31) & ((all_57_23 = e1 &
% 191.43/29.99 | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_21 = e0) & ~ (all_57_24 = e3) &
% 191.43/29.99 | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_26 = e2) & ~ (all_57_28 = e1) &
% 191.43/29.99 | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_30 = e0) & op(e1, e1) = all_57_21
% 191.43/29.99 | | | | | | | | | | | | | | | | | | | | | | & op(e1, e0) = e1 & op(e0, all_57_25) =
% 191.43/29.99 | | | | | | | | | | | | | | | | | | | | | | all_57_24 & op(e0, all_57_27) = all_57_26 &
% 191.43/29.99 | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_29) = all_57_28 & op(e0,
% 191.43/29.99 | | | | | | | | | | | | | | | | | | | | | | all_57_31) = all_57_30 & op(e0, e3) =
% 191.43/29.99 | | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_27 & op(e0,
% 191.43/29.99 | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_29 & $i(all_57_21) &
% 191.43/29.99 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_24) & $i(all_57_25) &
% 191.43/29.99 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_27) &
% 191.43/29.99 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28) & $i(all_57_29) &
% 191.43/29.99 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_25 = e0 & ~
% 191.43/29.99 | | | | | | | | | | | | | | | | | | | | | | (all_57_0 = e3) & ~ (all_57_2 = e2) & ~
% 191.43/29.99 | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1) & ~ (all_57_6 = e0) & ~
% 191.43/29.99 | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e3) & op(e3, all_57_1) =
% 191.43/29.99 | | | | | | | | | | | | | | | | | | | | | | all_57_0 & op(e3, all_57_3) = all_57_2 &
% 191.43/29.99 | | | | | | | | | | | | | | | | | | | | | | op(e3, all_57_5) = all_57_4 & op(e3,
% 191.43/29.99 | | | | | | | | | | | | | | | | | | | | | | all_57_7) = all_57_6 & op(e3, e3) =
% 191.43/29.99 | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e2) = all_57_3 & op(e3,
% 191.43/29.99 | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_5 & op(e3, e0) = all_57_7 &
% 191.43/29.99 | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_0) &
% 191.43/29.99 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_2) & $i(all_57_3) &
% 191.43/29.99 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4) & $i(all_57_5) & $i(all_57_6) &
% 191.43/29.99 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7)) | (all_57_27 = e0 & ~
% 191.43/29.99 | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e3) & ~ (all_57_10 = e2) & ~
% 191.43/29.99 | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e1) & ~ (all_57_14 = e0) & ~
% 191.43/29.99 | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e2) & op(e2, all_57_9) =
% 191.43/29.99 | | | | | | | | | | | | | | | | | | | | | | all_57_8 & op(e2, all_57_11) = all_57_10 &
% 191.43/29.99 | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_13) = all_57_12 & op(e2,
% 191.43/29.99 | | | | | | | | | | | | | | | | | | | | | | all_57_15) = all_57_14 & op(e2, e3) =
% 191.43/29.99 | | | | | | | | | | | | | | | | | | | | | | all_57_9 & op(e2, e2) = all_57_11 & op(e2,
% 191.43/29.99 | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_13 & op(e2, e0) = all_57_15 &
% 191.43/29.99 | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_8) &
% 191.43/29.99 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9) & $i(all_57_10) & $i(all_57_11)
% 191.43/29.99 | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_12) & $i(all_57_13) &
% 191.43/29.99 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & $i(all_57_15)) | (all_57_29
% 191.43/29.99 | | | | | | | | | | | | | | | | | | | | | | = e0 & ~ (all_57_16 = e3) & ~ (all_57_18 =
% 191.43/29.99 | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_20 = e1) & ~ (all_57_22
% 191.43/29.99 | | | | | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_31 = e1) & op(e1,
% 191.43/29.99 | | | | | | | | | | | | | | | | | | | | | | all_57_17) = all_57_16 & op(e1, all_57_19)
% 191.43/29.99 | | | | | | | | | | | | | | | | | | | | | | = all_57_18 & op(e1, all_57_21) = all_57_20
% 191.43/29.99 | | | | | | | | | | | | | | | | | | | | | | & op(e1, all_57_23) = all_57_22 & op(e1, e3)
% 191.43/29.99 | | | | | | | | | | | | | | | | | | | | | | = all_57_17 & op(e1, e2) = all_57_19 &
% 191.43/29.99 | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_21 & op(e1, e0) =
% 191.43/29.99 | | | | | | | | | | | | | | | | | | | | | | all_57_23 & op(e0, e1) = e0 & $i(all_57_16)
% 191.43/29.99 | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_17) & $i(all_57_18) &
% 191.43/29.99 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_20) &
% 191.43/29.99 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_22) &
% 191.43/29.99 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23))))
% 191.43/29.99 | | | | | | | | | | | | | | | | | | | | | |
% 191.43/29.99 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (433) gives:
% 191.43/29.99 | | | | | | | | | | | | | | | | | | | | | |
% 191.43/29.99 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.43/29.99 | | | | | | | | | | | | | | | | | | | | | | |
% 191.43/29.99 | | | | | | | | | | | | | | | | | | | | | | | (434) all_57_19 = e1 & ~ (all_57_8 = e3) & ~
% 191.43/29.99 | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e2) & ~ (all_57_12 = e1) & ~
% 191.43/29.99 | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e0) & ~ (all_57_21 = e2) & op(e2,
% 191.43/29.99 | | | | | | | | | | | | | | | | | | | | | | | all_57_9) = all_57_8 & op(e2, all_57_11) =
% 191.43/29.99 | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e2, all_57_13) = all_57_12 & op(e2,
% 191.43/29.99 | | | | | | | | | | | | | | | | | | | | | | | all_57_15) = all_57_14 & op(e2, e3) = all_57_9 &
% 191.43/29.99 | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_11 & op(e2, e1) = all_57_13 &
% 191.43/29.99 | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_15 & op(e1, e2) = e1 & op(e1,
% 191.43/29.99 | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_21 & $i(all_57_8) & $i(all_57_9) &
% 191.43/29.99 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & $i(all_57_11) & $i(all_57_12) &
% 191.43/29.99 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13) & $i(all_57_14) & $i(all_57_15) &
% 191.43/29.99 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21)
% 191.43/29.99 | | | | | | | | | | | | | | | | | | | | | | |
% 191.43/29.99 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (434) implies:
% 191.43/29.99 | | | | | | | | | | | | | | | | | | | | | | | (435) ~ (all_57_10 = e2)
% 191.43/29.99 | | | | | | | | | | | | | | | | | | | | | | | (436) op(e2, e2) = all_57_11
% 191.43/29.99 | | | | | | | | | | | | | | | | | | | | | | | (437) op(e2, all_57_11) = all_57_10
% 191.43/29.99 | | | | | | | | | | | | | | | | | | | | | | |
% 191.43/29.99 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (158), (162), (170), (227), (390), (391), (392),
% 191.43/29.99 | | | | | | | | | | | | | | | | | | | | | | | (435), (436), (437), (function-axioms) are
% 191.43/29.99 | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1967.
% 191.43/29.99 | | | | | | | | | | | | | | | | | | | | | | |
% 191.43/29.99 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.43/29.99 | | | | | | | | | | | | | | | | | | | | | | |
% 191.43/29.99 | | | | | | | | | | | | | | | | | | | | | | | (438) op(e0, e0) = all_57_31 & $i(all_57_31) &
% 191.43/29.99 | | | | | | | | | | | | | | | | | | | | | | | ((all_57_23 = e1 & ~ (all_57_21 = e0) & ~
% 191.43/29.99 | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 191.43/29.99 | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) &
% 191.43/29.99 | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_21 & op(e1, e0) = e1 &
% 191.43/29.99 | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_25) = all_57_24 & op(e0,
% 191.43/29.99 | | | | | | | | | | | | | | | | | | | | | | | all_57_27) = all_57_26 & op(e0, all_57_29) =
% 191.43/29.99 | | | | | | | | | | | | | | | | | | | | | | | all_57_28 & op(e0, all_57_31) = all_57_30 &
% 191.43/29.99 | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_25 & op(e0, e2) =
% 191.43/29.99 | | | | | | | | | | | | | | | | | | | | | | | all_57_27 & op(e0, e1) = all_57_29 &
% 191.43/29.99 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_24) & $i(all_57_25)
% 191.43/29.99 | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_26) & $i(all_57_27) &
% 191.43/29.99 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28) & $i(all_57_29) & $i(all_57_30))
% 191.43/29.99 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_25 = e0 & ~ (all_57_0 = e3) & ~
% 191.43/29.99 | | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e2) & ~ (all_57_4 = e1) & ~
% 191.43/29.99 | | | | | | | | | | | | | | | | | | | | | | | (all_57_6 = e0) & ~ (all_57_31 = e3) & op(e3,
% 191.43/29.99 | | | | | | | | | | | | | | | | | | | | | | | all_57_1) = all_57_0 & op(e3, all_57_3) =
% 191.43/29.99 | | | | | | | | | | | | | | | | | | | | | | | all_57_2 & op(e3, all_57_5) = all_57_4 &
% 191.43/29.99 | | | | | | | | | | | | | | | | | | | | | | | op(e3, all_57_7) = all_57_6 & op(e3, e3) =
% 191.43/29.99 | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e2) = all_57_3 & op(e3, e1)
% 191.43/29.99 | | | | | | | | | | | | | | | | | | | | | | | = all_57_5 & op(e3, e0) = all_57_7 & op(e0,
% 191.43/29.99 | | | | | | | | | | | | | | | | | | | | | | | e3) = e0 & $i(all_57_0) & $i(all_57_1) &
% 191.43/29.99 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_2) & $i(all_57_3) & $i(all_57_4) &
% 191.43/29.99 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_6) & $i(all_57_7)) |
% 191.43/29.99 | | | | | | | | | | | | | | | | | | | | | | | (all_57_27 = e0 & ~ (all_57_8 = e3) & ~
% 191.43/29.99 | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e2) & ~ (all_57_12 = e1) & ~
% 191.43/29.99 | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e0) & ~ (all_57_31 = e2) &
% 191.43/29.99 | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_9) = all_57_8 & op(e2,
% 191.43/29.99 | | | | | | | | | | | | | | | | | | | | | | | all_57_11) = all_57_10 & op(e2, all_57_13) =
% 191.43/29.99 | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & op(e2, all_57_15) = all_57_14 &
% 191.43/29.99 | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_9 & op(e2, e2) = all_57_11
% 191.43/29.99 | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = all_57_13 & op(e2, e0) =
% 191.43/29.99 | | | | | | | | | | | | | | | | | | | | | | | all_57_15 & op(e0, e2) = e0 & $i(all_57_8) &
% 191.43/29.99 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9) & $i(all_57_10) & $i(all_57_11) &
% 191.43/29.99 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & $i(all_57_13) & $i(all_57_14)
% 191.43/29.99 | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_15)) | (all_57_29 = e0 & ~
% 191.43/29.99 | | | | | | | | | | | | | | | | | | | | | | | (all_57_16 = e3) & ~ (all_57_18 = e2) & ~
% 191.43/29.99 | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_22 = e0) & ~
% 191.43/29.99 | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e1) & op(e1, all_57_17) =
% 191.43/29.99 | | | | | | | | | | | | | | | | | | | | | | | all_57_16 & op(e1, all_57_19) = all_57_18 &
% 191.43/29.99 | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_21) = all_57_20 & op(e1,
% 191.43/29.99 | | | | | | | | | | | | | | | | | | | | | | | all_57_23) = all_57_22 & op(e1, e3) =
% 191.43/29.99 | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e1, e2) = all_57_19 & op(e1,
% 191.43/29.99 | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_21 & op(e1, e0) = all_57_23 &
% 191.43/29.99 | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_16) &
% 191.43/29.99 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_17) & $i(all_57_18) & $i(all_57_19)
% 191.43/29.99 | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_20) & $i(all_57_21) &
% 191.43/29.99 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_23)))
% 191.43/29.99 | | | | | | | | | | | | | | | | | | | | | | |
% 191.43/29.99 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (438) implies:
% 191.43/30.00 | | | | | | | | | | | | | | | | | | | | | | | (439) (all_57_23 = e1 & ~ (all_57_21 = e0) & ~
% 191.43/30.00 | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 191.43/30.00 | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) & op(e1,
% 191.43/30.00 | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_21 & op(e1, e0) = e1 & op(e0,
% 191.43/30.00 | | | | | | | | | | | | | | | | | | | | | | | all_57_25) = all_57_24 & op(e0, all_57_27) =
% 191.43/30.00 | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e0, all_57_29) = all_57_28 &
% 191.43/30.00 | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_31) = all_57_30 & op(e0, e3) =
% 191.43/30.00 | | | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_27 & op(e0, e1)
% 191.43/30.00 | | | | | | | | | | | | | | | | | | | | | | | = all_57_29 & $i(all_57_21) & $i(all_57_24) &
% 191.43/30.00 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_25) & $i(all_57_26) & $i(all_57_27) &
% 191.43/30.00 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28) & $i(all_57_29) & $i(all_57_30)) |
% 191.43/30.00 | | | | | | | | | | | | | | | | | | | | | | | (all_57_25 = e0 & ~ (all_57_0 = e3) & ~
% 191.43/30.00 | | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e2) & ~ (all_57_4 = e1) & ~
% 191.43/30.00 | | | | | | | | | | | | | | | | | | | | | | | (all_57_6 = e0) & ~ (all_57_31 = e3) & op(e3,
% 191.43/30.00 | | | | | | | | | | | | | | | | | | | | | | | all_57_1) = all_57_0 & op(e3, all_57_3) =
% 191.43/30.00 | | | | | | | | | | | | | | | | | | | | | | | all_57_2 & op(e3, all_57_5) = all_57_4 & op(e3,
% 191.43/30.00 | | | | | | | | | | | | | | | | | | | | | | | all_57_7) = all_57_6 & op(e3, e3) = all_57_1 &
% 191.43/30.00 | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_3 & op(e3, e1) = all_57_5 &
% 191.43/30.00 | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_7 & op(e0, e3) = e0 &
% 191.43/30.00 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_0) & $i(all_57_1) & $i(all_57_2) &
% 191.43/30.00 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_3) & $i(all_57_4) & $i(all_57_5) &
% 191.43/30.00 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_6) & $i(all_57_7)) | (all_57_27 = e0 &
% 191.43/30.00 | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_8 = e3) & ~ (all_57_10 = e2) & ~
% 191.43/30.00 | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e1) & ~ (all_57_14 = e0) & ~
% 191.43/30.00 | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e2) & op(e2, all_57_9) = all_57_8 &
% 191.43/30.00 | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_11) = all_57_10 & op(e2,
% 191.43/30.00 | | | | | | | | | | | | | | | | | | | | | | | all_57_13) = all_57_12 & op(e2, all_57_15) =
% 191.43/30.00 | | | | | | | | | | | | | | | | | | | | | | | all_57_14 & op(e2, e3) = all_57_9 & op(e2, e2) =
% 191.43/30.00 | | | | | | | | | | | | | | | | | | | | | | | all_57_11 & op(e2, e1) = all_57_13 & op(e2, e0)
% 191.43/30.00 | | | | | | | | | | | | | | | | | | | | | | | = all_57_15 & op(e0, e2) = e0 & $i(all_57_8) &
% 191.43/30.00 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9) & $i(all_57_10) & $i(all_57_11) &
% 191.43/30.00 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & $i(all_57_13) & $i(all_57_14) &
% 191.43/30.00 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15)) | (all_57_29 = e0 & ~ (all_57_16
% 191.43/30.00 | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_18 = e2) & ~ (all_57_20 =
% 191.43/30.00 | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_22 = e0) & ~ (all_57_31 =
% 191.43/30.00 | | | | | | | | | | | | | | | | | | | | | | | e1) & op(e1, all_57_17) = all_57_16 & op(e1,
% 191.43/30.00 | | | | | | | | | | | | | | | | | | | | | | | all_57_19) = all_57_18 & op(e1, all_57_21) =
% 191.43/30.00 | | | | | | | | | | | | | | | | | | | | | | | all_57_20 & op(e1, all_57_23) = all_57_22 &
% 191.43/30.00 | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_17 & op(e1, e2) = all_57_19
% 191.43/30.00 | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = all_57_21 & op(e1, e0) =
% 191.43/30.00 | | | | | | | | | | | | | | | | | | | | | | | all_57_23 & op(e0, e1) = e0 & $i(all_57_16) &
% 191.43/30.00 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_17) & $i(all_57_18) & $i(all_57_19) &
% 191.43/30.00 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_20) & $i(all_57_21) & $i(all_57_22) &
% 191.43/30.00 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23))
% 191.43/30.00 | | | | | | | | | | | | | | | | | | | | | | |
% 191.43/30.00 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (51), (158), (159), (160), (162), (170), (227),
% 191.43/30.00 | | | | | | | | | | | | | | | | | | | | | | | (341), (390), (391), (392), (413), (416), (421),
% 191.43/30.00 | | | | | | | | | | | | | | | | | | | | | | | (423), (439), (function-axioms) are inconsistent
% 191.43/30.00 | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1935.
% 191.43/30.00 | | | | | | | | | | | | | | | | | | | | | | |
% 191.43/30.00 | | | | | | | | | | | | | | | | | | | | | | End of split
% 191.43/30.00 | | | | | | | | | | | | | | | | | | | | | |
% 191.43/30.00 | | | | | | | | | | | | | | | | | | | | | End of split
% 191.43/30.00 | | | | | | | | | | | | | | | | | | | | |
% 191.43/30.00 | | | | | | | | | | | | | | | | | | | | End of split
% 191.43/30.00 | | | | | | | | | | | | | | | | | | | |
% 191.43/30.00 | | | | | | | | | | | | | | | | | | | End of split
% 191.43/30.00 | | | | | | | | | | | | | | | | | | |
% 191.43/30.00 | | | | | | | | | | | | | | | | | | Case 2:
% 191.43/30.00 | | | | | | | | | | | | | | | | | | |
% 191.43/30.00 | | | | | | | | | | | | | | | | | | | (440) all_57_11 = e3 & ~ (all_57_0 = e3) & ~ (all_57_2
% 191.43/30.00 | | | | | | | | | | | | | | | | | | | = e2) & ~ (all_57_4 = e1) & ~ (all_57_6 = e0)
% 191.43/30.00 | | | | | | | | | | | | | | | | | | | & ~ (all_57_9 = e2) & op(e3, all_57_1) = all_57_0
% 191.43/30.00 | | | | | | | | | | | | | | | | | | | & op(e3, all_57_3) = all_57_2 & op(e3, all_57_5) =
% 191.43/30.00 | | | | | | | | | | | | | | | | | | | all_57_4 & op(e3, all_57_7) = all_57_6 & op(e3,
% 191.43/30.00 | | | | | | | | | | | | | | | | | | | e3) = all_57_1 & op(e3, e2) = all_57_3 & op(e3,
% 191.43/30.00 | | | | | | | | | | | | | | | | | | | e1) = all_57_5 & op(e3, e0) = all_57_7 & op(e2,
% 191.43/30.00 | | | | | | | | | | | | | | | | | | | e3) = all_57_9 & op(e2, e2) = e3 & $i(all_57_0)
% 191.43/30.00 | | | | | | | | | | | | | | | | | | | & $i(all_57_1) & $i(all_57_2) & $i(all_57_3) &
% 191.43/30.00 | | | | | | | | | | | | | | | | | | | $i(all_57_4) & $i(all_57_5) & $i(all_57_6) &
% 191.43/30.00 | | | | | | | | | | | | | | | | | | | $i(all_57_7) & $i(all_57_9)
% 191.43/30.00 | | | | | | | | | | | | | | | | | | |
% 191.43/30.00 | | | | | | | | | | | | | | | | | | | ALPHA: (440) implies:
% 191.43/30.00 | | | | | | | | | | | | | | | | | | | (441) op(e2, e2) = e3
% 191.43/30.00 | | | | | | | | | | | | | | | | | | |
% 191.43/30.00 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (396), (441), (function-axioms) are
% 191.43/30.00 | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1963.
% 191.43/30.00 | | | | | | | | | | | | | | | | | | |
% 191.43/30.00 | | | | | | | | | | | | | | | | | | End of split
% 191.43/30.00 | | | | | | | | | | | | | | | | | |
% 191.43/30.00 | | | | | | | | | | | | | | | | | End of split
% 191.43/30.00 | | | | | | | | | | | | | | | | |
% 191.43/30.00 | | | | | | | | | | | | | | | | Case 2:
% 191.43/30.00 | | | | | | | | | | | | | | | | |
% 191.43/30.00 | | | | | | | | | | | | | | | | | (442) (all_57_11 = e1 & ~ (all_57_13 = e2) & ~
% 191.43/30.00 | | | | | | | | | | | | | | | | | (all_57_16 = e3) & ~ (all_57_18 = e2) & ~
% 191.43/30.00 | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_22 = e0) & op(e2,
% 191.43/30.00 | | | | | | | | | | | | | | | | | e2) = e1 & op(e2, e1) = all_57_13 & op(e1,
% 191.43/30.00 | | | | | | | | | | | | | | | | | all_57_17) = all_57_16 & op(e1, all_57_19) =
% 191.43/30.00 | | | | | | | | | | | | | | | | | all_57_18 & op(e1, all_57_21) = all_57_20 &
% 191.43/30.00 | | | | | | | | | | | | | | | | | op(e1, all_57_23) = all_57_22 & op(e1, e3) =
% 191.43/30.00 | | | | | | | | | | | | | | | | | all_57_17 & op(e1, e2) = all_57_19 & op(e1, e1)
% 191.43/30.00 | | | | | | | | | | | | | | | | | = all_57_21 & op(e1, e0) = all_57_23 &
% 191.43/30.00 | | | | | | | | | | | | | | | | | $i(all_57_13) & $i(all_57_16) & $i(all_57_17) &
% 191.43/30.00 | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_19) & $i(all_57_20) &
% 191.43/30.00 | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_22) & $i(all_57_23)) |
% 191.43/30.00 | | | | | | | | | | | | | | | | | (all_57_11 = e0 & ~ (all_57_15 = e2) & ~
% 191.43/30.00 | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 191.43/30.00 | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) & op(e2,
% 191.43/30.00 | | | | | | | | | | | | | | | | | e2) = e0 & op(e2, e0) = all_57_15 & op(e0,
% 191.43/30.00 | | | | | | | | | | | | | | | | | all_57_25) = all_57_24 & op(e0, all_57_27) =
% 191.43/30.00 | | | | | | | | | | | | | | | | | all_57_26 & op(e0, all_57_29) = all_57_28 &
% 191.43/30.00 | | | | | | | | | | | | | | | | | op(e0, all_57_31) = all_57_30 & op(e0, e3) =
% 191.43/30.00 | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_27 & op(e0, e1)
% 191.43/30.00 | | | | | | | | | | | | | | | | | = all_57_29 & op(e0, e0) = all_57_31 &
% 191.43/30.00 | | | | | | | | | | | | | | | | | $i(all_57_15) & $i(all_57_24) & $i(all_57_25) &
% 191.43/30.00 | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_27) & $i(all_57_28) &
% 191.43/30.00 | | | | | | | | | | | | | | | | | $i(all_57_29) & $i(all_57_30) & $i(all_57_31)) |
% 191.43/30.00 | | | | | | | | | | | | | | | | | (all_57_21 = e3 & ~ (all_57_0 = e3) & ~
% 191.43/30.00 | | | | | | | | | | | | | | | | | (all_57_2 = e2) & ~ (all_57_4 = e1) & ~
% 191.43/30.00 | | | | | | | | | | | | | | | | | (all_57_6 = e0) & ~ (all_57_17 = e1) & op(e3,
% 191.43/30.00 | | | | | | | | | | | | | | | | | all_57_1) = all_57_0 & op(e3, all_57_3) =
% 191.43/30.00 | | | | | | | | | | | | | | | | | all_57_2 & op(e3, all_57_5) = all_57_4 & op(e3,
% 191.43/30.00 | | | | | | | | | | | | | | | | | all_57_7) = all_57_6 & op(e3, e3) = all_57_1 &
% 191.43/30.00 | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_3 & op(e3, e1) = all_57_5 &
% 191.43/30.00 | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_7 & op(e1, e3) = all_57_17 &
% 191.43/30.00 | | | | | | | | | | | | | | | | | op(e1, e1) = e3 & $i(all_57_0) & $i(all_57_1) &
% 191.43/30.00 | | | | | | | | | | | | | | | | | $i(all_57_2) & $i(all_57_3) & $i(all_57_4) &
% 191.43/30.00 | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 191.43/30.00 | | | | | | | | | | | | | | | | | $i(all_57_17)) | (all_57_21 = e2 & ~ (all_57_8
% 191.43/30.00 | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_10 = e2) & ~ (all_57_12 =
% 191.43/30.00 | | | | | | | | | | | | | | | | | e1) & ~ (all_57_14 = e0) & ~ (all_57_19 =
% 191.43/30.00 | | | | | | | | | | | | | | | | | e1) & op(e2, all_57_9) = all_57_8 & op(e2,
% 191.43/30.00 | | | | | | | | | | | | | | | | | all_57_11) = all_57_10 & op(e2, all_57_13) =
% 191.43/30.00 | | | | | | | | | | | | | | | | | all_57_12 & op(e2, all_57_15) = all_57_14 &
% 191.43/30.00 | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_9 & op(e2, e2) = all_57_11 &
% 191.43/30.00 | | | | | | | | | | | | | | | | | op(e2, e1) = all_57_13 & op(e2, e0) = all_57_15
% 191.43/30.00 | | | | | | | | | | | | | | | | | & op(e1, e2) = all_57_19 & op(e1, e1) = e2 &
% 191.43/30.00 | | | | | | | | | | | | | | | | | $i(all_57_8) & $i(all_57_9) & $i(all_57_10) &
% 191.43/30.00 | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_12) & $i(all_57_13) &
% 191.43/30.00 | | | | | | | | | | | | | | | | | $i(all_57_14) & $i(all_57_15) & $i(all_57_19)) |
% 191.43/30.00 | | | | | | | | | | | | | | | | | (op(e0, e0) = all_57_31 & $i(all_57_31) &
% 191.43/30.00 | | | | | | | | | | | | | | | | | ((all_57_21 = e0 & ~ (all_57_23 = e1) & ~
% 191.43/30.00 | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 191.43/30.00 | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) &
% 191.43/30.00 | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = all_57_23 &
% 191.43/30.00 | | | | | | | | | | | | | | | | | op(e0, all_57_25) = all_57_24 & op(e0,
% 191.43/30.00 | | | | | | | | | | | | | | | | | all_57_27) = all_57_26 & op(e0, all_57_29)
% 191.43/30.00 | | | | | | | | | | | | | | | | | = all_57_28 & op(e0, all_57_31) = all_57_30
% 191.43/30.00 | | | | | | | | | | | | | | | | | & op(e0, e3) = all_57_25 & op(e0, e2) =
% 191.43/30.00 | | | | | | | | | | | | | | | | | all_57_27 & op(e0, e1) = all_57_29 &
% 191.43/30.00 | | | | | | | | | | | | | | | | | $i(all_57_23) & $i(all_57_24) &
% 191.43/30.00 | | | | | | | | | | | | | | | | | $i(all_57_25) & $i(all_57_26) &
% 191.43/30.00 | | | | | | | | | | | | | | | | | $i(all_57_27) & $i(all_57_28) &
% 191.43/30.00 | | | | | | | | | | | | | | | | | $i(all_57_29) & $i(all_57_30)) | (all_57_31
% 191.43/30.00 | | | | | | | | | | | | | | | | | = e3 & ~ (all_57_0 = e3) & ~ (all_57_2 =
% 191.43/30.00 | | | | | | | | | | | | | | | | | e2) & ~ (all_57_4 = e1) & ~ (all_57_6 =
% 191.43/30.00 | | | | | | | | | | | | | | | | | e0) & ~ (all_57_25 = e0) & op(e3,
% 191.43/30.00 | | | | | | | | | | | | | | | | | all_57_1) = all_57_0 & op(e3, all_57_3) =
% 191.43/30.00 | | | | | | | | | | | | | | | | | all_57_2 & op(e3, all_57_5) = all_57_4 &
% 191.43/30.00 | | | | | | | | | | | | | | | | | op(e3, all_57_7) = all_57_6 & op(e3, e3) =
% 191.43/30.00 | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e2) = all_57_3 & op(e3,
% 191.43/30.00 | | | | | | | | | | | | | | | | | e1) = all_57_5 & op(e3, e0) = all_57_7 &
% 191.43/30.00 | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_25 & $i(all_57_0) &
% 191.43/30.00 | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_2) & $i(all_57_3) &
% 191.43/30.00 | | | | | | | | | | | | | | | | | $i(all_57_4) & $i(all_57_5) & $i(all_57_6) &
% 191.43/30.00 | | | | | | | | | | | | | | | | | $i(all_57_7) & $i(all_57_25)) | (all_57_31 =
% 191.43/30.00 | | | | | | | | | | | | | | | | | e2 & ~ (all_57_8 = e3) & ~ (all_57_10 =
% 191.43/30.00 | | | | | | | | | | | | | | | | | e2) & ~ (all_57_12 = e1) & ~ (all_57_14
% 191.43/30.00 | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_27 = e0) & op(e2,
% 191.43/30.00 | | | | | | | | | | | | | | | | | all_57_9) = all_57_8 & op(e2, all_57_11) =
% 191.43/30.00 | | | | | | | | | | | | | | | | | all_57_10 & op(e2, all_57_13) = all_57_12 &
% 191.43/30.00 | | | | | | | | | | | | | | | | | op(e2, all_57_15) = all_57_14 & op(e2, e3) =
% 191.43/30.00 | | | | | | | | | | | | | | | | | all_57_9 & op(e2, e2) = all_57_11 & op(e2,
% 191.43/30.00 | | | | | | | | | | | | | | | | | e1) = all_57_13 & op(e2, e0) = all_57_15 &
% 191.43/30.00 | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_27 & $i(all_57_8) &
% 191.43/30.00 | | | | | | | | | | | | | | | | | $i(all_57_9) & $i(all_57_10) & $i(all_57_11)
% 191.43/30.00 | | | | | | | | | | | | | | | | | & $i(all_57_12) & $i(all_57_13) &
% 191.43/30.00 | | | | | | | | | | | | | | | | | $i(all_57_14) & $i(all_57_15) &
% 191.43/30.00 | | | | | | | | | | | | | | | | | $i(all_57_27)) | (all_57_31 = e1 & ~
% 191.43/30.00 | | | | | | | | | | | | | | | | | (all_57_16 = e3) & ~ (all_57_18 = e2) & ~
% 191.43/30.00 | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_22 = e0) & ~
% 191.43/30.00 | | | | | | | | | | | | | | | | | (all_57_29 = e0) & op(e1, all_57_17) =
% 191.43/30.00 | | | | | | | | | | | | | | | | | all_57_16 & op(e1, all_57_19) = all_57_18 &
% 191.43/30.00 | | | | | | | | | | | | | | | | | op(e1, all_57_21) = all_57_20 & op(e1,
% 191.43/30.00 | | | | | | | | | | | | | | | | | all_57_23) = all_57_22 & op(e1, e3) =
% 191.43/30.01 | | | | | | | | | | | | | | | | | all_57_17 & op(e1, e2) = all_57_19 & op(e1,
% 191.43/30.01 | | | | | | | | | | | | | | | | | e1) = all_57_21 & op(e1, e0) = all_57_23 &
% 191.43/30.01 | | | | | | | | | | | | | | | | | op(e0, e1) = all_57_29 & $i(all_57_16) &
% 191.43/30.01 | | | | | | | | | | | | | | | | | $i(all_57_17) & $i(all_57_18) &
% 191.43/30.01 | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_20) &
% 191.43/30.01 | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_22) &
% 191.43/30.01 | | | | | | | | | | | | | | | | | $i(all_57_23) & $i(all_57_29))))
% 191.43/30.01 | | | | | | | | | | | | | | | | |
% 191.43/30.01 | | | | | | | | | | | | | | | | | BETA: splitting (442) gives:
% 191.43/30.01 | | | | | | | | | | | | | | | | |
% 191.43/30.01 | | | | | | | | | | | | | | | | | Case 1:
% 191.43/30.01 | | | | | | | | | | | | | | | | | |
% 191.43/30.01 | | | | | | | | | | | | | | | | | | (443) (all_57_11 = e1 & ~ (all_57_13 = e2) & ~
% 191.43/30.01 | | | | | | | | | | | | | | | | | | (all_57_16 = e3) & ~ (all_57_18 = e2) & ~
% 191.43/30.01 | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_22 = e0) & op(e2,
% 191.43/30.01 | | | | | | | | | | | | | | | | | | e2) = e1 & op(e2, e1) = all_57_13 & op(e1,
% 191.43/30.01 | | | | | | | | | | | | | | | | | | all_57_17) = all_57_16 & op(e1, all_57_19) =
% 191.43/30.01 | | | | | | | | | | | | | | | | | | all_57_18 & op(e1, all_57_21) = all_57_20 &
% 191.43/30.01 | | | | | | | | | | | | | | | | | | op(e1, all_57_23) = all_57_22 & op(e1, e3) =
% 191.43/30.01 | | | | | | | | | | | | | | | | | | all_57_17 & op(e1, e2) = all_57_19 & op(e1, e1)
% 191.43/30.01 | | | | | | | | | | | | | | | | | | = all_57_21 & op(e1, e0) = all_57_23 &
% 191.43/30.01 | | | | | | | | | | | | | | | | | | $i(all_57_13) & $i(all_57_16) & $i(all_57_17) &
% 191.43/30.01 | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_19) & $i(all_57_20) &
% 191.43/30.01 | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_22) & $i(all_57_23)) |
% 191.43/30.01 | | | | | | | | | | | | | | | | | | (all_57_11 = e0 & ~ (all_57_15 = e2) & ~
% 191.43/30.01 | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 191.43/30.01 | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) & op(e2,
% 191.43/30.01 | | | | | | | | | | | | | | | | | | e2) = e0 & op(e2, e0) = all_57_15 & op(e0,
% 191.43/30.01 | | | | | | | | | | | | | | | | | | all_57_25) = all_57_24 & op(e0, all_57_27) =
% 191.43/30.01 | | | | | | | | | | | | | | | | | | all_57_26 & op(e0, all_57_29) = all_57_28 &
% 191.43/30.01 | | | | | | | | | | | | | | | | | | op(e0, all_57_31) = all_57_30 & op(e0, e3) =
% 191.43/30.01 | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_27 & op(e0, e1)
% 191.43/30.01 | | | | | | | | | | | | | | | | | | = all_57_29 & op(e0, e0) = all_57_31 &
% 191.43/30.01 | | | | | | | | | | | | | | | | | | $i(all_57_15) & $i(all_57_24) & $i(all_57_25) &
% 191.43/30.01 | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_27) & $i(all_57_28) &
% 191.43/30.01 | | | | | | | | | | | | | | | | | | $i(all_57_29) & $i(all_57_30) & $i(all_57_31))
% 191.43/30.01 | | | | | | | | | | | | | | | | | |
% 191.43/30.01 | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (396), (443), (function-axioms) are
% 191.43/30.01 | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1959.
% 191.43/30.01 | | | | | | | | | | | | | | | | | |
% 191.43/30.01 | | | | | | | | | | | | | | | | | Case 2:
% 191.43/30.01 | | | | | | | | | | | | | | | | | |
% 191.43/30.01 | | | | | | | | | | | | | | | | | | (444) (all_57_21 = e3 & ~ (all_57_0 = e3) & ~
% 191.43/30.01 | | | | | | | | | | | | | | | | | | (all_57_2 = e2) & ~ (all_57_4 = e1) & ~
% 191.43/30.01 | | | | | | | | | | | | | | | | | | (all_57_6 = e0) & ~ (all_57_17 = e1) & op(e3,
% 191.43/30.01 | | | | | | | | | | | | | | | | | | all_57_1) = all_57_0 & op(e3, all_57_3) =
% 191.43/30.01 | | | | | | | | | | | | | | | | | | all_57_2 & op(e3, all_57_5) = all_57_4 & op(e3,
% 191.43/30.01 | | | | | | | | | | | | | | | | | | all_57_7) = all_57_6 & op(e3, e3) = all_57_1 &
% 191.43/30.01 | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_3 & op(e3, e1) = all_57_5 &
% 191.43/30.01 | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_7 & op(e1, e3) = all_57_17 &
% 191.43/30.01 | | | | | | | | | | | | | | | | | | op(e1, e1) = e3 & $i(all_57_0) & $i(all_57_1) &
% 191.43/30.01 | | | | | | | | | | | | | | | | | | $i(all_57_2) & $i(all_57_3) & $i(all_57_4) &
% 191.43/30.01 | | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 191.43/30.01 | | | | | | | | | | | | | | | | | | $i(all_57_17)) | (all_57_21 = e2 & ~ (all_57_8
% 191.43/30.01 | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_10 = e2) & ~ (all_57_12 =
% 191.43/30.01 | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_14 = e0) & ~ (all_57_19 =
% 191.43/30.01 | | | | | | | | | | | | | | | | | | e1) & op(e2, all_57_9) = all_57_8 & op(e2,
% 191.43/30.01 | | | | | | | | | | | | | | | | | | all_57_11) = all_57_10 & op(e2, all_57_13) =
% 191.43/30.01 | | | | | | | | | | | | | | | | | | all_57_12 & op(e2, all_57_15) = all_57_14 &
% 191.43/30.01 | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_9 & op(e2, e2) = all_57_11 &
% 191.43/30.01 | | | | | | | | | | | | | | | | | | op(e2, e1) = all_57_13 & op(e2, e0) = all_57_15
% 191.43/30.01 | | | | | | | | | | | | | | | | | | & op(e1, e2) = all_57_19 & op(e1, e1) = e2 &
% 191.43/30.01 | | | | | | | | | | | | | | | | | | $i(all_57_8) & $i(all_57_9) & $i(all_57_10) &
% 191.43/30.01 | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_12) & $i(all_57_13) &
% 191.43/30.01 | | | | | | | | | | | | | | | | | | $i(all_57_14) & $i(all_57_15) & $i(all_57_19)) |
% 191.43/30.01 | | | | | | | | | | | | | | | | | | (op(e0, e0) = all_57_31 & $i(all_57_31) &
% 191.43/30.01 | | | | | | | | | | | | | | | | | | ((all_57_21 = e0 & ~ (all_57_23 = e1) & ~
% 191.43/30.01 | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 191.43/30.01 | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) &
% 191.43/30.01 | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = all_57_23 &
% 191.43/30.01 | | | | | | | | | | | | | | | | | | op(e0, all_57_25) = all_57_24 & op(e0,
% 191.43/30.01 | | | | | | | | | | | | | | | | | | all_57_27) = all_57_26 & op(e0, all_57_29)
% 191.43/30.01 | | | | | | | | | | | | | | | | | | = all_57_28 & op(e0, all_57_31) = all_57_30
% 191.43/30.01 | | | | | | | | | | | | | | | | | | & op(e0, e3) = all_57_25 & op(e0, e2) =
% 191.43/30.01 | | | | | | | | | | | | | | | | | | all_57_27 & op(e0, e1) = all_57_29 &
% 191.43/30.01 | | | | | | | | | | | | | | | | | | $i(all_57_23) & $i(all_57_24) &
% 191.43/30.01 | | | | | | | | | | | | | | | | | | $i(all_57_25) & $i(all_57_26) &
% 191.43/30.01 | | | | | | | | | | | | | | | | | | $i(all_57_27) & $i(all_57_28) &
% 191.43/30.01 | | | | | | | | | | | | | | | | | | $i(all_57_29) & $i(all_57_30)) | (all_57_31
% 191.43/30.01 | | | | | | | | | | | | | | | | | | = e3 & ~ (all_57_0 = e3) & ~ (all_57_2 =
% 191.43/30.01 | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_4 = e1) & ~ (all_57_6 =
% 191.43/30.01 | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_25 = e0) & op(e3,
% 191.43/30.01 | | | | | | | | | | | | | | | | | | all_57_1) = all_57_0 & op(e3, all_57_3) =
% 191.43/30.01 | | | | | | | | | | | | | | | | | | all_57_2 & op(e3, all_57_5) = all_57_4 &
% 191.43/30.01 | | | | | | | | | | | | | | | | | | op(e3, all_57_7) = all_57_6 & op(e3, e3) =
% 191.43/30.01 | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e2) = all_57_3 & op(e3,
% 191.43/30.01 | | | | | | | | | | | | | | | | | | e1) = all_57_5 & op(e3, e0) = all_57_7 &
% 191.43/30.01 | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_25 & $i(all_57_0) &
% 191.43/30.01 | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_2) & $i(all_57_3) &
% 191.43/30.01 | | | | | | | | | | | | | | | | | | $i(all_57_4) & $i(all_57_5) & $i(all_57_6) &
% 191.43/30.01 | | | | | | | | | | | | | | | | | | $i(all_57_7) & $i(all_57_25)) | (all_57_31 =
% 191.43/30.01 | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_8 = e3) & ~ (all_57_10 =
% 191.43/30.01 | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_12 = e1) & ~ (all_57_14
% 191.43/30.01 | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_27 = e0) & op(e2,
% 191.43/30.01 | | | | | | | | | | | | | | | | | | all_57_9) = all_57_8 & op(e2, all_57_11) =
% 191.43/30.01 | | | | | | | | | | | | | | | | | | all_57_10 & op(e2, all_57_13) = all_57_12 &
% 191.43/30.01 | | | | | | | | | | | | | | | | | | op(e2, all_57_15) = all_57_14 & op(e2, e3) =
% 191.43/30.01 | | | | | | | | | | | | | | | | | | all_57_9 & op(e2, e2) = all_57_11 & op(e2,
% 191.43/30.01 | | | | | | | | | | | | | | | | | | e1) = all_57_13 & op(e2, e0) = all_57_15 &
% 191.43/30.01 | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_27 & $i(all_57_8) &
% 191.43/30.01 | | | | | | | | | | | | | | | | | | $i(all_57_9) & $i(all_57_10) & $i(all_57_11)
% 191.43/30.01 | | | | | | | | | | | | | | | | | | & $i(all_57_12) & $i(all_57_13) &
% 191.43/30.01 | | | | | | | | | | | | | | | | | | $i(all_57_14) & $i(all_57_15) &
% 191.43/30.01 | | | | | | | | | | | | | | | | | | $i(all_57_27)) | (all_57_31 = e1 & ~
% 191.43/30.01 | | | | | | | | | | | | | | | | | | (all_57_16 = e3) & ~ (all_57_18 = e2) & ~
% 191.43/30.01 | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_22 = e0) & ~
% 191.43/30.01 | | | | | | | | | | | | | | | | | | (all_57_29 = e0) & op(e1, all_57_17) =
% 191.43/30.01 | | | | | | | | | | | | | | | | | | all_57_16 & op(e1, all_57_19) = all_57_18 &
% 191.43/30.01 | | | | | | | | | | | | | | | | | | op(e1, all_57_21) = all_57_20 & op(e1,
% 191.43/30.01 | | | | | | | | | | | | | | | | | | all_57_23) = all_57_22 & op(e1, e3) =
% 191.43/30.01 | | | | | | | | | | | | | | | | | | all_57_17 & op(e1, e2) = all_57_19 & op(e1,
% 191.43/30.01 | | | | | | | | | | | | | | | | | | e1) = all_57_21 & op(e1, e0) = all_57_23 &
% 191.43/30.01 | | | | | | | | | | | | | | | | | | op(e0, e1) = all_57_29 & $i(all_57_16) &
% 191.43/30.01 | | | | | | | | | | | | | | | | | | $i(all_57_17) & $i(all_57_18) &
% 191.43/30.01 | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_20) &
% 191.43/30.01 | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_22) &
% 191.43/30.01 | | | | | | | | | | | | | | | | | | $i(all_57_23) & $i(all_57_29))))
% 191.43/30.01 | | | | | | | | | | | | | | | | | |
% 191.43/30.01 | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (8), (45), (376), (400), (416), (444),
% 191.43/30.01 | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 191.43/30.01 | | | | | | | | | | | | | | | | | | #1932.
% 191.43/30.01 | | | | | | | | | | | | | | | | | |
% 191.43/30.01 | | | | | | | | | | | | | | | | | End of split
% 191.43/30.01 | | | | | | | | | | | | | | | | |
% 191.43/30.01 | | | | | | | | | | | | | | | | End of split
% 191.43/30.01 | | | | | | | | | | | | | | | |
% 191.43/30.01 | | | | | | | | | | | | | | | Case 2:
% 191.43/30.01 | | | | | | | | | | | | | | | |
% 191.43/30.01 | | | | | | | | | | | | | | | | (445) all_54_10 = e0
% 191.43/30.01 | | | | | | | | | | | | | | | |
% 191.43/30.01 | | | | | | | | | | | | | | | | REF_CLOSE: (335), (372), (445) are inconsistent by sub-proof
% 191.43/30.01 | | | | | | | | | | | | | | | | #1950.
% 191.43/30.01 | | | | | | | | | | | | | | | |
% 191.43/30.01 | | | | | | | | | | | | | | | End of split
% 191.43/30.01 | | | | | | | | | | | | | | |
% 191.43/30.01 | | | | | | | | | | | | | | End of split
% 191.43/30.01 | | | | | | | | | | | | | |
% 191.43/30.01 | | | | | | | | | | | | | End of split
% 191.43/30.01 | | | | | | | | | | | | |
% 191.43/30.01 | | | | | | | | | | | | Case 2:
% 191.43/30.01 | | | | | | | | | | | | |
% 191.43/30.01 | | | | | | | | | | | | | (446) all_32_2 = e3
% 191.43/30.01 | | | | | | | | | | | | |
% 191.43/30.01 | | | | | | | | | | | | | COMBINE_EQS: (301), (446) imply:
% 191.43/30.01 | | | | | | | | | | | | | (447) all_4_2 = e3
% 191.43/30.01 | | | | | | | | | | | | |
% 191.43/30.01 | | | | | | | | | | | | | SIMP: (447) implies:
% 191.43/30.01 | | | | | | | | | | | | | (448) all_4_2 = e3
% 191.43/30.01 | | | | | | | | | | | | |
% 191.43/30.01 | | | | | | | | | | | | | REDUCE: (362), (448) imply:
% 191.43/30.01 | | | | | | | | | | | | | (449) ~ (all_52_8 = e3)
% 191.43/30.01 | | | | | | | | | | | | |
% 191.43/30.01 | | | | | | | | | | | | | REDUCE: (36), (448) imply:
% 191.43/30.01 | | | | | | | | | | | | | (450) op(e1, e1) = e3
% 191.43/30.01 | | | | | | | | | | | | |
% 191.43/30.01 | | | | | | | | | | | | | BETA: splitting (82) gives:
% 191.43/30.01 | | | | | | | | | | | | |
% 191.43/30.01 | | | | | | | | | | | | | Case 1:
% 191.43/30.01 | | | | | | | | | | | | | |
% 191.43/30.01 | | | | | | | | | | | | | | (451) ~ (all_34_2 = e0)
% 191.43/30.01 | | | | | | | | | | | | | |
% 191.43/30.01 | | | | | | | | | | | | | | REDUCE: (313), (451) imply:
% 191.43/30.01 | | | | | | | | | | | | | | (452) ~ (all_14_2 = e0)
% 191.43/30.01 | | | | | | | | | | | | | |
% 191.43/30.01 | | | | | | | | | | | | | | BETA: splitting (204) gives:
% 191.43/30.01 | | | | | | | | | | | | | |
% 191.43/30.01 | | | | | | | | | | | | | | Case 1:
% 191.43/30.01 | | | | | | | | | | | | | | |
% 191.43/30.01 | | | | | | | | | | | | | | | (453) all_54_0 = e3
% 191.43/30.01 | | | | | | | | | | | | | | |
% 191.43/30.01 | | | | | | | | | | | | | | | COMBINE_EQS: (279), (453) imply:
% 191.43/30.01 | | | | | | | | | | | | | | | (454) all_14_2 = e3
% 191.43/30.01 | | | | | | | | | | | | | | |
% 191.43/30.01 | | | | | | | | | | | | | | | SIMP: (454) implies:
% 191.43/30.01 | | | | | | | | | | | | | | | (455) all_14_2 = e3
% 191.43/30.01 | | | | | | | | | | | | | | |
% 191.43/30.01 | | | | | | | | | | | | | | | REDUCE: (343), (455) imply:
% 191.43/30.01 | | | | | | | | | | | | | | | (456) ~ (all_52_4 = e3)
% 191.43/30.01 | | | | | | | | | | | | | | |
% 191.43/30.01 | | | | | | | | | | | | | | | REDUCE: (347), (455) imply:
% 191.43/30.01 | | | | | | | | | | | | | | | (457) ~ (all_52_12 = e3)
% 191.43/30.01 | | | | | | | | | | | | | | |
% 191.43/30.01 | | | | | | | | | | | | | | | REDUCE: (51), (455) imply:
% 191.43/30.01 | | | | | | | | | | | | | | | (458) op(e3, e3) = e3
% 191.43/30.01 | | | | | | | | | | | | | | |
% 191.43/30.01 | | | | | | | | | | | | | | | BETA: splitting (238) gives:
% 191.43/30.01 | | | | | | | | | | | | | | |
% 191.43/30.01 | | | | | | | | | | | | | | | Case 1:
% 191.43/30.01 | | | | | | | | | | | | | | | |
% 191.43/30.02 | | | | | | | | | | | | | | | | (459) (all_57_3 = e3 & ~ (all_57_1 = e2) & ~ (all_57_8
% 191.43/30.02 | | | | | | | | | | | | | | | | = e3) & ~ (all_57_10 = e2) & ~ (all_57_12 =
% 191.43/30.02 | | | | | | | | | | | | | | | | e1) & ~ (all_57_14 = e0) & op(e3, e3) =
% 191.43/30.02 | | | | | | | | | | | | | | | | all_57_1 & op(e3, e2) = e3 & op(e2, all_57_9) =
% 191.43/30.02 | | | | | | | | | | | | | | | | all_57_8 & op(e2, all_57_11) = all_57_10 &
% 191.43/30.02 | | | | | | | | | | | | | | | | op(e2, all_57_13) = all_57_12 & op(e2,
% 191.43/30.02 | | | | | | | | | | | | | | | | all_57_15) = all_57_14 & op(e2, e3) = all_57_9
% 191.43/30.02 | | | | | | | | | | | | | | | | & op(e2, e2) = all_57_11 & op(e2, e1) =
% 191.43/30.02 | | | | | | | | | | | | | | | | all_57_13 & op(e2, e0) = all_57_15 &
% 191.43/30.02 | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_8) & $i(all_57_9) &
% 191.43/30.02 | | | | | | | | | | | | | | | | $i(all_57_10) & $i(all_57_11) & $i(all_57_12) &
% 191.43/30.02 | | | | | | | | | | | | | | | | $i(all_57_13) & $i(all_57_14) & $i(all_57_15)) |
% 191.43/30.02 | | | | | | | | | | | | | | | | (all_57_5 = e3 & ~ (all_57_1 = e1) & ~
% 191.43/30.02 | | | | | | | | | | | | | | | | (all_57_16 = e3) & ~ (all_57_18 = e2) & ~
% 191.43/30.02 | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_22 = e0) & op(e3,
% 191.43/30.02 | | | | | | | | | | | | | | | | e3) = all_57_1 & op(e3, e1) = e3 & op(e1,
% 191.43/30.02 | | | | | | | | | | | | | | | | all_57_17) = all_57_16 & op(e1, all_57_19) =
% 191.43/30.02 | | | | | | | | | | | | | | | | all_57_18 & op(e1, all_57_21) = all_57_20 &
% 191.43/30.02 | | | | | | | | | | | | | | | | op(e1, all_57_23) = all_57_22 & op(e1, e3) =
% 191.43/30.02 | | | | | | | | | | | | | | | | all_57_17 & op(e1, e2) = all_57_19 & op(e1, e1)
% 191.43/30.02 | | | | | | | | | | | | | | | | = all_57_21 & op(e1, e0) = all_57_23 &
% 191.43/30.02 | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_16) & $i(all_57_17) &
% 191.43/30.02 | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_19) & $i(all_57_20) &
% 191.43/30.02 | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_22) & $i(all_57_23)) |
% 191.43/30.02 | | | | | | | | | | | | | | | | (all_57_7 = e3 & ~ (all_57_1 = e0) & ~
% 191.43/30.02 | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 191.43/30.02 | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) & op(e3,
% 191.43/30.02 | | | | | | | | | | | | | | | | e3) = all_57_1 & op(e3, e0) = e3 & op(e0,
% 191.43/30.02 | | | | | | | | | | | | | | | | all_57_25) = all_57_24 & op(e0, all_57_27) =
% 191.43/30.02 | | | | | | | | | | | | | | | | all_57_26 & op(e0, all_57_29) = all_57_28 &
% 191.43/30.02 | | | | | | | | | | | | | | | | op(e0, all_57_31) = all_57_30 & op(e0, e3) =
% 191.43/30.02 | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_27 & op(e0, e1)
% 191.43/30.02 | | | | | | | | | | | | | | | | = all_57_29 & op(e0, e0) = all_57_31 &
% 191.43/30.02 | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_24) & $i(all_57_25) &
% 191.43/30.02 | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_27) & $i(all_57_28) &
% 191.43/30.02 | | | | | | | | | | | | | | | | $i(all_57_29) & $i(all_57_30) & $i(all_57_31)) |
% 191.43/30.02 | | | | | | | | | | | | | | | | (all_57_9 = e2 & ~ (all_57_0 = e3) & ~ (all_57_2
% 191.43/30.02 | | | | | | | | | | | | | | | | = e2) & ~ (all_57_4 = e1) & ~ (all_57_6 =
% 191.43/30.02 | | | | | | | | | | | | | | | | e0) & ~ (all_57_11 = e3) & op(e3, all_57_1) =
% 191.43/30.02 | | | | | | | | | | | | | | | | all_57_0 & op(e3, all_57_3) = all_57_2 & op(e3,
% 191.43/30.02 | | | | | | | | | | | | | | | | all_57_5) = all_57_4 & op(e3, all_57_7) =
% 191.43/30.02 | | | | | | | | | | | | | | | | all_57_6 & op(e3, e3) = all_57_1 & op(e3, e2) =
% 191.43/30.02 | | | | | | | | | | | | | | | | all_57_3 & op(e3, e1) = all_57_5 & op(e3, e0) =
% 191.43/30.02 | | | | | | | | | | | | | | | | all_57_7 & op(e2, e3) = e2 & op(e2, e2) =
% 191.43/30.02 | | | | | | | | | | | | | | | | all_57_11 & $i(all_57_0) & $i(all_57_1) &
% 191.43/30.02 | | | | | | | | | | | | | | | | $i(all_57_2) & $i(all_57_3) & $i(all_57_4) &
% 191.43/30.02 | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 191.43/30.02 | | | | | | | | | | | | | | | | $i(all_57_11))
% 191.43/30.02 | | | | | | | | | | | | | | | |
% 191.43/30.02 | | | | | | | | | | | | | | | | BETA: splitting (459) gives:
% 191.43/30.02 | | | | | | | | | | | | | | | |
% 191.43/30.02 | | | | | | | | | | | | | | | | Case 1:
% 191.43/30.02 | | | | | | | | | | | | | | | | |
% 191.43/30.02 | | | | | | | | | | | | | | | | | (460) (all_57_3 = e3 & ~ (all_57_1 = e2) & ~ (all_57_8
% 191.43/30.02 | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_10 = e2) & ~ (all_57_12 =
% 191.43/30.02 | | | | | | | | | | | | | | | | | e1) & ~ (all_57_14 = e0) & op(e3, e3) =
% 191.43/30.02 | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e2) = e3 & op(e2, all_57_9) =
% 191.43/30.02 | | | | | | | | | | | | | | | | | all_57_8 & op(e2, all_57_11) = all_57_10 &
% 191.43/30.02 | | | | | | | | | | | | | | | | | op(e2, all_57_13) = all_57_12 & op(e2,
% 191.43/30.02 | | | | | | | | | | | | | | | | | all_57_15) = all_57_14 & op(e2, e3) = all_57_9
% 191.43/30.02 | | | | | | | | | | | | | | | | | & op(e2, e2) = all_57_11 & op(e2, e1) =
% 191.43/30.02 | | | | | | | | | | | | | | | | | all_57_13 & op(e2, e0) = all_57_15 &
% 191.43/30.02 | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_8) & $i(all_57_9) &
% 191.43/30.02 | | | | | | | | | | | | | | | | | $i(all_57_10) & $i(all_57_11) & $i(all_57_12) &
% 191.43/30.02 | | | | | | | | | | | | | | | | | $i(all_57_13) & $i(all_57_14) & $i(all_57_15)) |
% 191.43/30.02 | | | | | | | | | | | | | | | | | (all_57_5 = e3 & ~ (all_57_1 = e1) & ~
% 191.43/30.02 | | | | | | | | | | | | | | | | | (all_57_16 = e3) & ~ (all_57_18 = e2) & ~
% 191.43/30.02 | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_22 = e0) & op(e3,
% 191.43/30.02 | | | | | | | | | | | | | | | | | e3) = all_57_1 & op(e3, e1) = e3 & op(e1,
% 191.43/30.02 | | | | | | | | | | | | | | | | | all_57_17) = all_57_16 & op(e1, all_57_19) =
% 191.43/30.02 | | | | | | | | | | | | | | | | | all_57_18 & op(e1, all_57_21) = all_57_20 &
% 191.43/30.02 | | | | | | | | | | | | | | | | | op(e1, all_57_23) = all_57_22 & op(e1, e3) =
% 191.43/30.02 | | | | | | | | | | | | | | | | | all_57_17 & op(e1, e2) = all_57_19 & op(e1, e1)
% 191.43/30.02 | | | | | | | | | | | | | | | | | = all_57_21 & op(e1, e0) = all_57_23 &
% 191.43/30.02 | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_16) & $i(all_57_17) &
% 191.43/30.02 | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_19) & $i(all_57_20) &
% 191.43/30.02 | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_22) & $i(all_57_23))
% 191.43/30.02 | | | | | | | | | | | | | | | | |
% 191.43/30.02 | | | | | | | | | | | | | | | | | REF_CLOSE: (169), (170), (449), (456), (460),
% 191.43/30.02 | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 191.43/30.02 | | | | | | | | | | | | | | | | | #1929.
% 191.43/30.02 | | | | | | | | | | | | | | | | |
% 191.43/30.02 | | | | | | | | | | | | | | | | Case 2:
% 191.43/30.02 | | | | | | | | | | | | | | | | |
% 191.43/30.02 | | | | | | | | | | | | | | | | | (461) (all_57_7 = e3 & ~ (all_57_1 = e0) & ~
% 191.43/30.02 | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 191.43/30.02 | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) & op(e3,
% 191.43/30.02 | | | | | | | | | | | | | | | | | e3) = all_57_1 & op(e3, e0) = e3 & op(e0,
% 191.43/30.02 | | | | | | | | | | | | | | | | | all_57_25) = all_57_24 & op(e0, all_57_27) =
% 191.43/30.02 | | | | | | | | | | | | | | | | | all_57_26 & op(e0, all_57_29) = all_57_28 &
% 191.43/30.02 | | | | | | | | | | | | | | | | | op(e0, all_57_31) = all_57_30 & op(e0, e3) =
% 191.43/30.02 | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_27 & op(e0, e1)
% 191.43/30.02 | | | | | | | | | | | | | | | | | = all_57_29 & op(e0, e0) = all_57_31 &
% 191.43/30.02 | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_24) & $i(all_57_25) &
% 191.43/30.02 | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_27) & $i(all_57_28) &
% 191.43/30.02 | | | | | | | | | | | | | | | | | $i(all_57_29) & $i(all_57_30) & $i(all_57_31)) |
% 191.43/30.02 | | | | | | | | | | | | | | | | | (all_57_9 = e2 & ~ (all_57_0 = e3) & ~ (all_57_2
% 191.43/30.02 | | | | | | | | | | | | | | | | | = e2) & ~ (all_57_4 = e1) & ~ (all_57_6 =
% 191.43/30.02 | | | | | | | | | | | | | | | | | e0) & ~ (all_57_11 = e3) & op(e3, all_57_1) =
% 191.43/30.02 | | | | | | | | | | | | | | | | | all_57_0 & op(e3, all_57_3) = all_57_2 & op(e3,
% 191.43/30.02 | | | | | | | | | | | | | | | | | all_57_5) = all_57_4 & op(e3, all_57_7) =
% 191.43/30.02 | | | | | | | | | | | | | | | | | all_57_6 & op(e3, e3) = all_57_1 & op(e3, e2) =
% 191.43/30.02 | | | | | | | | | | | | | | | | | all_57_3 & op(e3, e1) = all_57_5 & op(e3, e0) =
% 191.43/30.02 | | | | | | | | | | | | | | | | | all_57_7 & op(e2, e3) = e2 & op(e2, e2) =
% 191.43/30.02 | | | | | | | | | | | | | | | | | all_57_11 & $i(all_57_0) & $i(all_57_1) &
% 191.43/30.02 | | | | | | | | | | | | | | | | | $i(all_57_2) & $i(all_57_3) & $i(all_57_4) &
% 191.43/30.02 | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 191.43/30.02 | | | | | | | | | | | | | | | | | $i(all_57_11))
% 191.43/30.02 | | | | | | | | | | | | | | | | |
% 191.43/30.02 | | | | | | | | | | | | | | | | | REF_CLOSE: (167), (168), (389), (457), (461),
% 191.43/30.02 | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 191.43/30.02 | | | | | | | | | | | | | | | | | #1927.
% 191.43/30.02 | | | | | | | | | | | | | | | | |
% 191.43/30.02 | | | | | | | | | | | | | | | | End of split
% 191.43/30.02 | | | | | | | | | | | | | | | |
% 191.43/30.02 | | | | | | | | | | | | | | | Case 2:
% 191.43/30.02 | | | | | | | | | | | | | | | |
% 191.43/30.03 | | | | | | | | | | | | | | | | (462) (all_57_13 = e2 & ~ (all_57_11 = e1) & ~
% 191.43/30.03 | | | | | | | | | | | | | | | | (all_57_16 = e3) & ~ (all_57_18 = e2) & ~
% 191.43/30.03 | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_22 = e0) & op(e2,
% 191.43/30.03 | | | | | | | | | | | | | | | | e2) = all_57_11 & op(e2, e1) = e2 & op(e1,
% 191.43/30.03 | | | | | | | | | | | | | | | | all_57_17) = all_57_16 & op(e1, all_57_19) =
% 191.43/30.03 | | | | | | | | | | | | | | | | all_57_18 & op(e1, all_57_21) = all_57_20 &
% 191.43/30.03 | | | | | | | | | | | | | | | | op(e1, all_57_23) = all_57_22 & op(e1, e3) =
% 191.43/30.03 | | | | | | | | | | | | | | | | all_57_17 & op(e1, e2) = all_57_19 & op(e1, e1)
% 191.43/30.03 | | | | | | | | | | | | | | | | = all_57_21 & op(e1, e0) = all_57_23 &
% 191.43/30.03 | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_16) & $i(all_57_17) &
% 191.43/30.03 | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_19) & $i(all_57_20) &
% 191.43/30.03 | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_22) & $i(all_57_23)) |
% 191.43/30.03 | | | | | | | | | | | | | | | | (all_57_15 = e2 & ~ (all_57_11 = e0) & ~
% 191.43/30.03 | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 191.43/30.03 | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) & op(e2,
% 191.43/30.03 | | | | | | | | | | | | | | | | e2) = all_57_11 & op(e2, e0) = e2 & op(e0,
% 191.43/30.03 | | | | | | | | | | | | | | | | all_57_25) = all_57_24 & op(e0, all_57_27) =
% 191.43/30.03 | | | | | | | | | | | | | | | | all_57_26 & op(e0, all_57_29) = all_57_28 &
% 191.43/30.03 | | | | | | | | | | | | | | | | op(e0, all_57_31) = all_57_30 & op(e0, e3) =
% 191.43/30.03 | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_27 & op(e0, e1)
% 191.43/30.03 | | | | | | | | | | | | | | | | = all_57_29 & op(e0, e0) = all_57_31 &
% 191.43/30.03 | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_24) & $i(all_57_25) &
% 191.43/30.03 | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_27) & $i(all_57_28) &
% 191.43/30.03 | | | | | | | | | | | | | | | | $i(all_57_29) & $i(all_57_30) & $i(all_57_31)) |
% 191.43/30.03 | | | | | | | | | | | | | | | | (all_57_17 = e1 & ~ (all_57_0 = e3) & ~
% 191.43/30.03 | | | | | | | | | | | | | | | | (all_57_2 = e2) & ~ (all_57_4 = e1) & ~
% 191.43/30.03 | | | | | | | | | | | | | | | | (all_57_6 = e0) & ~ (all_57_21 = e3) & op(e3,
% 191.43/30.03 | | | | | | | | | | | | | | | | all_57_1) = all_57_0 & op(e3, all_57_3) =
% 191.43/30.03 | | | | | | | | | | | | | | | | all_57_2 & op(e3, all_57_5) = all_57_4 & op(e3,
% 191.43/30.03 | | | | | | | | | | | | | | | | all_57_7) = all_57_6 & op(e3, e3) = all_57_1 &
% 191.43/30.03 | | | | | | | | | | | | | | | | op(e3, e2) = all_57_3 & op(e3, e1) = all_57_5 &
% 191.43/30.03 | | | | | | | | | | | | | | | | op(e3, e0) = all_57_7 & op(e1, e3) = e1 & op(e1,
% 191.43/30.03 | | | | | | | | | | | | | | | | e1) = all_57_21 & $i(all_57_0) & $i(all_57_1)
% 191.43/30.03 | | | | | | | | | | | | | | | | & $i(all_57_2) & $i(all_57_3) & $i(all_57_4) &
% 191.43/30.03 | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 191.43/30.03 | | | | | | | | | | | | | | | | $i(all_57_21)) | (all_57_19 = e1 & ~ (all_57_8
% 191.43/30.03 | | | | | | | | | | | | | | | | = e3) & ~ (all_57_10 = e2) & ~ (all_57_12 =
% 191.43/30.03 | | | | | | | | | | | | | | | | e1) & ~ (all_57_14 = e0) & ~ (all_57_21 =
% 191.43/30.03 | | | | | | | | | | | | | | | | e2) & op(e2, all_57_9) = all_57_8 & op(e2,
% 191.43/30.03 | | | | | | | | | | | | | | | | all_57_11) = all_57_10 & op(e2, all_57_13) =
% 191.43/30.03 | | | | | | | | | | | | | | | | all_57_12 & op(e2, all_57_15) = all_57_14 &
% 191.43/30.03 | | | | | | | | | | | | | | | | op(e2, e3) = all_57_9 & op(e2, e2) = all_57_11 &
% 191.43/30.03 | | | | | | | | | | | | | | | | op(e2, e1) = all_57_13 & op(e2, e0) = all_57_15
% 191.43/30.03 | | | | | | | | | | | | | | | | & op(e1, e2) = e1 & op(e1, e1) = all_57_21 &
% 191.43/30.03 | | | | | | | | | | | | | | | | $i(all_57_8) & $i(all_57_9) & $i(all_57_10) &
% 191.43/30.03 | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_12) & $i(all_57_13) &
% 191.43/30.03 | | | | | | | | | | | | | | | | $i(all_57_14) & $i(all_57_15) & $i(all_57_21)) |
% 191.43/30.03 | | | | | | | | | | | | | | | | (op(e0, e0) = all_57_31 & $i(all_57_31) &
% 191.43/30.03 | | | | | | | | | | | | | | | | ((all_57_23 = e1 & ~ (all_57_21 = e0) & ~
% 191.43/30.03 | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 191.43/30.03 | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) &
% 191.43/30.03 | | | | | | | | | | | | | | | | op(e1, e1) = all_57_21 & op(e1, e0) = e1 &
% 191.43/30.03 | | | | | | | | | | | | | | | | op(e0, all_57_25) = all_57_24 & op(e0,
% 191.43/30.03 | | | | | | | | | | | | | | | | all_57_27) = all_57_26 & op(e0, all_57_29)
% 191.43/30.03 | | | | | | | | | | | | | | | | = all_57_28 & op(e0, all_57_31) = all_57_30
% 191.43/30.03 | | | | | | | | | | | | | | | | & op(e0, e3) = all_57_25 & op(e0, e2) =
% 191.43/30.03 | | | | | | | | | | | | | | | | all_57_27 & op(e0, e1) = all_57_29 &
% 191.43/30.03 | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_24) &
% 191.43/30.03 | | | | | | | | | | | | | | | | $i(all_57_25) & $i(all_57_26) &
% 191.43/30.03 | | | | | | | | | | | | | | | | $i(all_57_27) & $i(all_57_28) &
% 191.43/30.03 | | | | | | | | | | | | | | | | $i(all_57_29) & $i(all_57_30)) | (all_57_25
% 191.43/30.03 | | | | | | | | | | | | | | | | = e0 & ~ (all_57_0 = e3) & ~ (all_57_2 =
% 191.43/30.03 | | | | | | | | | | | | | | | | e2) & ~ (all_57_4 = e1) & ~ (all_57_6 =
% 191.43/30.03 | | | | | | | | | | | | | | | | e0) & ~ (all_57_31 = e3) & op(e3,
% 191.43/30.03 | | | | | | | | | | | | | | | | all_57_1) = all_57_0 & op(e3, all_57_3) =
% 191.43/30.03 | | | | | | | | | | | | | | | | all_57_2 & op(e3, all_57_5) = all_57_4 &
% 191.43/30.03 | | | | | | | | | | | | | | | | op(e3, all_57_7) = all_57_6 & op(e3, e3) =
% 191.43/30.03 | | | | | | | | | | | | | | | | all_57_1 & op(e3, e2) = all_57_3 & op(e3,
% 191.43/30.03 | | | | | | | | | | | | | | | | e1) = all_57_5 & op(e3, e0) = all_57_7 &
% 191.43/30.03 | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_0) &
% 191.43/30.03 | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_2) & $i(all_57_3) &
% 191.43/30.03 | | | | | | | | | | | | | | | | $i(all_57_4) & $i(all_57_5) & $i(all_57_6) &
% 191.43/30.03 | | | | | | | | | | | | | | | | $i(all_57_7)) | (all_57_27 = e0 & ~
% 191.43/30.03 | | | | | | | | | | | | | | | | (all_57_8 = e3) & ~ (all_57_10 = e2) & ~
% 191.43/30.03 | | | | | | | | | | | | | | | | (all_57_12 = e1) & ~ (all_57_14 = e0) & ~
% 191.43/30.03 | | | | | | | | | | | | | | | | (all_57_31 = e2) & op(e2, all_57_9) =
% 191.43/30.03 | | | | | | | | | | | | | | | | all_57_8 & op(e2, all_57_11) = all_57_10 &
% 191.43/30.03 | | | | | | | | | | | | | | | | op(e2, all_57_13) = all_57_12 & op(e2,
% 191.43/30.03 | | | | | | | | | | | | | | | | all_57_15) = all_57_14 & op(e2, e3) =
% 191.43/30.03 | | | | | | | | | | | | | | | | all_57_9 & op(e2, e2) = all_57_11 & op(e2,
% 191.43/30.03 | | | | | | | | | | | | | | | | e1) = all_57_13 & op(e2, e0) = all_57_15 &
% 191.43/30.03 | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_8) &
% 191.43/30.03 | | | | | | | | | | | | | | | | $i(all_57_9) & $i(all_57_10) & $i(all_57_11)
% 191.43/30.03 | | | | | | | | | | | | | | | | & $i(all_57_12) & $i(all_57_13) &
% 191.43/30.03 | | | | | | | | | | | | | | | | $i(all_57_14) & $i(all_57_15)) | (all_57_29
% 191.43/30.03 | | | | | | | | | | | | | | | | = e0 & ~ (all_57_16 = e3) & ~ (all_57_18 =
% 191.43/30.03 | | | | | | | | | | | | | | | | e2) & ~ (all_57_20 = e1) & ~ (all_57_22
% 191.43/30.03 | | | | | | | | | | | | | | | | = e0) & ~ (all_57_31 = e1) & op(e1,
% 191.43/30.03 | | | | | | | | | | | | | | | | all_57_17) = all_57_16 & op(e1, all_57_19)
% 191.43/30.03 | | | | | | | | | | | | | | | | = all_57_18 & op(e1, all_57_21) = all_57_20
% 191.43/30.03 | | | | | | | | | | | | | | | | & op(e1, all_57_23) = all_57_22 & op(e1, e3)
% 191.43/30.03 | | | | | | | | | | | | | | | | = all_57_17 & op(e1, e2) = all_57_19 &
% 191.43/30.03 | | | | | | | | | | | | | | | | op(e1, e1) = all_57_21 & op(e1, e0) =
% 191.43/30.03 | | | | | | | | | | | | | | | | all_57_23 & op(e0, e1) = e0 & $i(all_57_16)
% 191.43/30.03 | | | | | | | | | | | | | | | | & $i(all_57_17) & $i(all_57_18) &
% 191.43/30.03 | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_20) &
% 191.43/30.03 | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_22) &
% 191.43/30.03 | | | | | | | | | | | | | | | | $i(all_57_23))))
% 191.43/30.03 | | | | | | | | | | | | | | | |
% 191.43/30.03 | | | | | | | | | | | | | | | | BETA: splitting (462) gives:
% 191.43/30.03 | | | | | | | | | | | | | | | |
% 191.43/30.03 | | | | | | | | | | | | | | | | Case 1:
% 191.43/30.03 | | | | | | | | | | | | | | | | |
% 191.43/30.03 | | | | | | | | | | | | | | | | | (463) (all_57_13 = e2 & ~ (all_57_11 = e1) & ~
% 191.43/30.03 | | | | | | | | | | | | | | | | | (all_57_16 = e3) & ~ (all_57_18 = e2) & ~
% 191.43/30.03 | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_22 = e0) & op(e2,
% 191.43/30.03 | | | | | | | | | | | | | | | | | e2) = all_57_11 & op(e2, e1) = e2 & op(e1,
% 191.43/30.03 | | | | | | | | | | | | | | | | | all_57_17) = all_57_16 & op(e1, all_57_19) =
% 191.43/30.03 | | | | | | | | | | | | | | | | | all_57_18 & op(e1, all_57_21) = all_57_20 &
% 191.43/30.03 | | | | | | | | | | | | | | | | | op(e1, all_57_23) = all_57_22 & op(e1, e3) =
% 191.43/30.03 | | | | | | | | | | | | | | | | | all_57_17 & op(e1, e2) = all_57_19 & op(e1, e1)
% 191.43/30.03 | | | | | | | | | | | | | | | | | = all_57_21 & op(e1, e0) = all_57_23 &
% 191.43/30.03 | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_16) & $i(all_57_17) &
% 191.43/30.03 | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_19) & $i(all_57_20) &
% 191.43/30.03 | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_22) & $i(all_57_23)) |
% 191.43/30.03 | | | | | | | | | | | | | | | | | (all_57_15 = e2 & ~ (all_57_11 = e0) & ~
% 191.43/30.03 | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 191.43/30.03 | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) & op(e2,
% 191.43/30.03 | | | | | | | | | | | | | | | | | e2) = all_57_11 & op(e2, e0) = e2 & op(e0,
% 191.43/30.03 | | | | | | | | | | | | | | | | | all_57_25) = all_57_24 & op(e0, all_57_27) =
% 191.43/30.03 | | | | | | | | | | | | | | | | | all_57_26 & op(e0, all_57_29) = all_57_28 &
% 191.43/30.03 | | | | | | | | | | | | | | | | | op(e0, all_57_31) = all_57_30 & op(e0, e3) =
% 191.43/30.03 | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_27 & op(e0, e1)
% 191.43/30.03 | | | | | | | | | | | | | | | | | = all_57_29 & op(e0, e0) = all_57_31 &
% 191.43/30.03 | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_24) & $i(all_57_25) &
% 191.43/30.03 | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_27) & $i(all_57_28) &
% 191.43/30.03 | | | | | | | | | | | | | | | | | $i(all_57_29) & $i(all_57_30) & $i(all_57_31))
% 191.43/30.03 | | | | | | | | | | | | | | | | |
% 191.43/30.03 | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (165), (393), (394), (463),
% 191.43/30.03 | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 191.43/30.03 | | | | | | | | | | | | | | | | | #1940.
% 191.43/30.03 | | | | | | | | | | | | | | | | |
% 191.43/30.03 | | | | | | | | | | | | | | | | Case 2:
% 191.43/30.03 | | | | | | | | | | | | | | | | |
% 191.85/30.04 | | | | | | | | | | | | | | | | | (464) (all_57_17 = e1 & ~ (all_57_0 = e3) & ~
% 191.85/30.04 | | | | | | | | | | | | | | | | | (all_57_2 = e2) & ~ (all_57_4 = e1) & ~
% 191.85/30.04 | | | | | | | | | | | | | | | | | (all_57_6 = e0) & ~ (all_57_21 = e3) & op(e3,
% 191.85/30.04 | | | | | | | | | | | | | | | | | all_57_1) = all_57_0 & op(e3, all_57_3) =
% 191.85/30.04 | | | | | | | | | | | | | | | | | all_57_2 & op(e3, all_57_5) = all_57_4 & op(e3,
% 191.85/30.04 | | | | | | | | | | | | | | | | | all_57_7) = all_57_6 & op(e3, e3) = all_57_1 &
% 191.85/30.04 | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_3 & op(e3, e1) = all_57_5 &
% 191.85/30.04 | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_7 & op(e1, e3) = e1 & op(e1,
% 191.85/30.04 | | | | | | | | | | | | | | | | | e1) = all_57_21 & $i(all_57_0) & $i(all_57_1)
% 191.85/30.04 | | | | | | | | | | | | | | | | | & $i(all_57_2) & $i(all_57_3) & $i(all_57_4) &
% 191.85/30.04 | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 191.85/30.04 | | | | | | | | | | | | | | | | | $i(all_57_21)) | (all_57_19 = e1 & ~ (all_57_8
% 191.85/30.04 | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_10 = e2) & ~ (all_57_12 =
% 191.85/30.04 | | | | | | | | | | | | | | | | | e1) & ~ (all_57_14 = e0) & ~ (all_57_21 =
% 191.85/30.04 | | | | | | | | | | | | | | | | | e2) & op(e2, all_57_9) = all_57_8 & op(e2,
% 191.85/30.04 | | | | | | | | | | | | | | | | | all_57_11) = all_57_10 & op(e2, all_57_13) =
% 191.85/30.04 | | | | | | | | | | | | | | | | | all_57_12 & op(e2, all_57_15) = all_57_14 &
% 191.85/30.04 | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_9 & op(e2, e2) = all_57_11 &
% 191.85/30.04 | | | | | | | | | | | | | | | | | op(e2, e1) = all_57_13 & op(e2, e0) = all_57_15
% 191.85/30.04 | | | | | | | | | | | | | | | | | & op(e1, e2) = e1 & op(e1, e1) = all_57_21 &
% 191.85/30.04 | | | | | | | | | | | | | | | | | $i(all_57_8) & $i(all_57_9) & $i(all_57_10) &
% 191.85/30.04 | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_12) & $i(all_57_13) &
% 191.85/30.04 | | | | | | | | | | | | | | | | | $i(all_57_14) & $i(all_57_15) & $i(all_57_21)) |
% 191.85/30.04 | | | | | | | | | | | | | | | | | (op(e0, e0) = all_57_31 & $i(all_57_31) &
% 191.85/30.04 | | | | | | | | | | | | | | | | | ((all_57_23 = e1 & ~ (all_57_21 = e0) & ~
% 191.85/30.04 | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 191.85/30.04 | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) &
% 191.85/30.04 | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_21 & op(e1, e0) = e1 &
% 191.85/30.04 | | | | | | | | | | | | | | | | | op(e0, all_57_25) = all_57_24 & op(e0,
% 191.85/30.04 | | | | | | | | | | | | | | | | | all_57_27) = all_57_26 & op(e0, all_57_29)
% 191.85/30.04 | | | | | | | | | | | | | | | | | = all_57_28 & op(e0, all_57_31) = all_57_30
% 191.85/30.04 | | | | | | | | | | | | | | | | | & op(e0, e3) = all_57_25 & op(e0, e2) =
% 191.85/30.04 | | | | | | | | | | | | | | | | | all_57_27 & op(e0, e1) = all_57_29 &
% 191.85/30.04 | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_24) &
% 191.85/30.04 | | | | | | | | | | | | | | | | | $i(all_57_25) & $i(all_57_26) &
% 191.85/30.04 | | | | | | | | | | | | | | | | | $i(all_57_27) & $i(all_57_28) &
% 191.85/30.04 | | | | | | | | | | | | | | | | | $i(all_57_29) & $i(all_57_30)) | (all_57_25
% 191.85/30.04 | | | | | | | | | | | | | | | | | = e0 & ~ (all_57_0 = e3) & ~ (all_57_2 =
% 191.85/30.04 | | | | | | | | | | | | | | | | | e2) & ~ (all_57_4 = e1) & ~ (all_57_6 =
% 191.85/30.04 | | | | | | | | | | | | | | | | | e0) & ~ (all_57_31 = e3) & op(e3,
% 191.85/30.04 | | | | | | | | | | | | | | | | | all_57_1) = all_57_0 & op(e3, all_57_3) =
% 191.85/30.04 | | | | | | | | | | | | | | | | | all_57_2 & op(e3, all_57_5) = all_57_4 &
% 191.85/30.04 | | | | | | | | | | | | | | | | | op(e3, all_57_7) = all_57_6 & op(e3, e3) =
% 191.85/30.04 | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e2) = all_57_3 & op(e3,
% 191.85/30.04 | | | | | | | | | | | | | | | | | e1) = all_57_5 & op(e3, e0) = all_57_7 &
% 191.85/30.04 | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_0) &
% 191.85/30.04 | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_2) & $i(all_57_3) &
% 191.85/30.04 | | | | | | | | | | | | | | | | | $i(all_57_4) & $i(all_57_5) & $i(all_57_6) &
% 191.85/30.04 | | | | | | | | | | | | | | | | | $i(all_57_7)) | (all_57_27 = e0 & ~
% 191.85/30.04 | | | | | | | | | | | | | | | | | (all_57_8 = e3) & ~ (all_57_10 = e2) & ~
% 191.85/30.04 | | | | | | | | | | | | | | | | | (all_57_12 = e1) & ~ (all_57_14 = e0) & ~
% 191.85/30.04 | | | | | | | | | | | | | | | | | (all_57_31 = e2) & op(e2, all_57_9) =
% 191.85/30.04 | | | | | | | | | | | | | | | | | all_57_8 & op(e2, all_57_11) = all_57_10 &
% 191.85/30.04 | | | | | | | | | | | | | | | | | op(e2, all_57_13) = all_57_12 & op(e2,
% 191.85/30.04 | | | | | | | | | | | | | | | | | all_57_15) = all_57_14 & op(e2, e3) =
% 191.85/30.04 | | | | | | | | | | | | | | | | | all_57_9 & op(e2, e2) = all_57_11 & op(e2,
% 191.85/30.04 | | | | | | | | | | | | | | | | | e1) = all_57_13 & op(e2, e0) = all_57_15 &
% 191.85/30.04 | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_8) &
% 191.85/30.04 | | | | | | | | | | | | | | | | | $i(all_57_9) & $i(all_57_10) & $i(all_57_11)
% 191.85/30.04 | | | | | | | | | | | | | | | | | & $i(all_57_12) & $i(all_57_13) &
% 191.85/30.04 | | | | | | | | | | | | | | | | | $i(all_57_14) & $i(all_57_15)) | (all_57_29
% 191.85/30.04 | | | | | | | | | | | | | | | | | = e0 & ~ (all_57_16 = e3) & ~ (all_57_18 =
% 191.85/30.04 | | | | | | | | | | | | | | | | | e2) & ~ (all_57_20 = e1) & ~ (all_57_22
% 191.85/30.04 | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_31 = e1) & op(e1,
% 191.85/30.04 | | | | | | | | | | | | | | | | | all_57_17) = all_57_16 & op(e1, all_57_19)
% 191.85/30.04 | | | | | | | | | | | | | | | | | = all_57_18 & op(e1, all_57_21) = all_57_20
% 191.85/30.04 | | | | | | | | | | | | | | | | | & op(e1, all_57_23) = all_57_22 & op(e1, e3)
% 191.85/30.04 | | | | | | | | | | | | | | | | | = all_57_17 & op(e1, e2) = all_57_19 &
% 191.85/30.04 | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_21 & op(e1, e0) =
% 191.85/30.04 | | | | | | | | | | | | | | | | | all_57_23 & op(e0, e1) = e0 & $i(all_57_16)
% 191.85/30.04 | | | | | | | | | | | | | | | | | & $i(all_57_17) & $i(all_57_18) &
% 191.85/30.04 | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_20) &
% 191.85/30.04 | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_22) &
% 191.85/30.04 | | | | | | | | | | | | | | | | | $i(all_57_23))))
% 191.85/30.04 | | | | | | | | | | | | | | | | |
% 191.85/30.04 | | | | | | | | | | | | | | | | | BETA: splitting (464) gives:
% 191.85/30.04 | | | | | | | | | | | | | | | | |
% 191.85/30.04 | | | | | | | | | | | | | | | | | Case 1:
% 191.85/30.04 | | | | | | | | | | | | | | | | | |
% 191.85/30.04 | | | | | | | | | | | | | | | | | | (465) all_57_17 = e1 & ~ (all_57_0 = e3) & ~ (all_57_2
% 191.85/30.04 | | | | | | | | | | | | | | | | | | = e2) & ~ (all_57_4 = e1) & ~ (all_57_6 = e0)
% 191.85/30.04 | | | | | | | | | | | | | | | | | | & ~ (all_57_21 = e3) & op(e3, all_57_1) =
% 191.85/30.04 | | | | | | | | | | | | | | | | | | all_57_0 & op(e3, all_57_3) = all_57_2 & op(e3,
% 191.85/30.04 | | | | | | | | | | | | | | | | | | all_57_5) = all_57_4 & op(e3, all_57_7) =
% 191.85/30.04 | | | | | | | | | | | | | | | | | | all_57_6 & op(e3, e3) = all_57_1 & op(e3, e2) =
% 191.85/30.04 | | | | | | | | | | | | | | | | | | all_57_3 & op(e3, e1) = all_57_5 & op(e3, e0) =
% 191.85/30.04 | | | | | | | | | | | | | | | | | | all_57_7 & op(e1, e3) = e1 & op(e1, e1) =
% 191.85/30.04 | | | | | | | | | | | | | | | | | | all_57_21 & $i(all_57_0) & $i(all_57_1) &
% 191.85/30.04 | | | | | | | | | | | | | | | | | | $i(all_57_2) & $i(all_57_3) & $i(all_57_4) &
% 191.85/30.04 | | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 191.85/30.04 | | | | | | | | | | | | | | | | | | $i(all_57_21)
% 191.85/30.04 | | | | | | | | | | | | | | | | | |
% 191.85/30.04 | | | | | | | | | | | | | | | | | | REF_CLOSE: (450), (465), (function-axioms) are inconsistent
% 191.85/30.04 | | | | | | | | | | | | | | | | | | by sub-proof #1926.
% 191.85/30.04 | | | | | | | | | | | | | | | | | |
% 191.85/30.04 | | | | | | | | | | | | | | | | | Case 2:
% 191.85/30.04 | | | | | | | | | | | | | | | | | |
% 191.85/30.04 | | | | | | | | | | | | | | | | | | (466) (all_57_19 = e1 & ~ (all_57_8 = e3) & ~
% 191.85/30.04 | | | | | | | | | | | | | | | | | | (all_57_10 = e2) & ~ (all_57_12 = e1) & ~
% 191.85/30.04 | | | | | | | | | | | | | | | | | | (all_57_14 = e0) & ~ (all_57_21 = e2) & op(e2,
% 191.85/30.04 | | | | | | | | | | | | | | | | | | all_57_9) = all_57_8 & op(e2, all_57_11) =
% 191.85/30.04 | | | | | | | | | | | | | | | | | | all_57_10 & op(e2, all_57_13) = all_57_12 &
% 191.85/30.04 | | | | | | | | | | | | | | | | | | op(e2, all_57_15) = all_57_14 & op(e2, e3) =
% 191.85/30.04 | | | | | | | | | | | | | | | | | | all_57_9 & op(e2, e2) = all_57_11 & op(e2, e1) =
% 191.85/30.04 | | | | | | | | | | | | | | | | | | all_57_13 & op(e2, e0) = all_57_15 & op(e1, e2)
% 191.85/30.04 | | | | | | | | | | | | | | | | | | = e1 & op(e1, e1) = all_57_21 & $i(all_57_8) &
% 191.85/30.04 | | | | | | | | | | | | | | | | | | $i(all_57_9) & $i(all_57_10) & $i(all_57_11) &
% 191.85/30.04 | | | | | | | | | | | | | | | | | | $i(all_57_12) & $i(all_57_13) & $i(all_57_14) &
% 191.85/30.04 | | | | | | | | | | | | | | | | | | $i(all_57_15) & $i(all_57_21)) | (op(e0, e0) =
% 191.85/30.04 | | | | | | | | | | | | | | | | | | all_57_31 & $i(all_57_31) & ((all_57_23 = e1 &
% 191.85/30.04 | | | | | | | | | | | | | | | | | | ~ (all_57_21 = e0) & ~ (all_57_24 = e3) &
% 191.85/30.04 | | | | | | | | | | | | | | | | | | ~ (all_57_26 = e2) & ~ (all_57_28 = e1) &
% 191.85/30.04 | | | | | | | | | | | | | | | | | | ~ (all_57_30 = e0) & op(e1, e1) = all_57_21
% 191.85/30.04 | | | | | | | | | | | | | | | | | | & op(e1, e0) = e1 & op(e0, all_57_25) =
% 191.85/30.04 | | | | | | | | | | | | | | | | | | all_57_24 & op(e0, all_57_27) = all_57_26 &
% 191.85/30.04 | | | | | | | | | | | | | | | | | | op(e0, all_57_29) = all_57_28 & op(e0,
% 191.85/30.04 | | | | | | | | | | | | | | | | | | all_57_31) = all_57_30 & op(e0, e3) =
% 191.85/30.04 | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_27 & op(e0,
% 191.85/30.04 | | | | | | | | | | | | | | | | | | e1) = all_57_29 & $i(all_57_21) &
% 191.85/30.04 | | | | | | | | | | | | | | | | | | $i(all_57_24) & $i(all_57_25) &
% 191.85/30.04 | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_27) &
% 191.85/30.04 | | | | | | | | | | | | | | | | | | $i(all_57_28) & $i(all_57_29) &
% 191.85/30.04 | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_25 = e0 & ~
% 191.85/30.04 | | | | | | | | | | | | | | | | | | (all_57_0 = e3) & ~ (all_57_2 = e2) & ~
% 191.85/30.04 | | | | | | | | | | | | | | | | | | (all_57_4 = e1) & ~ (all_57_6 = e0) & ~
% 191.85/30.04 | | | | | | | | | | | | | | | | | | (all_57_31 = e3) & op(e3, all_57_1) =
% 191.85/30.04 | | | | | | | | | | | | | | | | | | all_57_0 & op(e3, all_57_3) = all_57_2 &
% 191.85/30.04 | | | | | | | | | | | | | | | | | | op(e3, all_57_5) = all_57_4 & op(e3,
% 191.85/30.04 | | | | | | | | | | | | | | | | | | all_57_7) = all_57_6 & op(e3, e3) =
% 191.85/30.04 | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e2) = all_57_3 & op(e3,
% 191.85/30.04 | | | | | | | | | | | | | | | | | | e1) = all_57_5 & op(e3, e0) = all_57_7 &
% 191.85/30.04 | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_0) &
% 191.85/30.04 | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_2) & $i(all_57_3) &
% 191.85/30.04 | | | | | | | | | | | | | | | | | | $i(all_57_4) & $i(all_57_5) & $i(all_57_6) &
% 191.85/30.04 | | | | | | | | | | | | | | | | | | $i(all_57_7)) | (all_57_27 = e0 & ~
% 191.85/30.04 | | | | | | | | | | | | | | | | | | (all_57_8 = e3) & ~ (all_57_10 = e2) & ~
% 191.85/30.04 | | | | | | | | | | | | | | | | | | (all_57_12 = e1) & ~ (all_57_14 = e0) & ~
% 191.85/30.04 | | | | | | | | | | | | | | | | | | (all_57_31 = e2) & op(e2, all_57_9) =
% 191.85/30.04 | | | | | | | | | | | | | | | | | | all_57_8 & op(e2, all_57_11) = all_57_10 &
% 191.85/30.04 | | | | | | | | | | | | | | | | | | op(e2, all_57_13) = all_57_12 & op(e2,
% 191.85/30.04 | | | | | | | | | | | | | | | | | | all_57_15) = all_57_14 & op(e2, e3) =
% 191.85/30.04 | | | | | | | | | | | | | | | | | | all_57_9 & op(e2, e2) = all_57_11 & op(e2,
% 191.85/30.04 | | | | | | | | | | | | | | | | | | e1) = all_57_13 & op(e2, e0) = all_57_15 &
% 191.85/30.04 | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_8) &
% 191.85/30.04 | | | | | | | | | | | | | | | | | | $i(all_57_9) & $i(all_57_10) & $i(all_57_11)
% 191.85/30.04 | | | | | | | | | | | | | | | | | | & $i(all_57_12) & $i(all_57_13) &
% 191.85/30.04 | | | | | | | | | | | | | | | | | | $i(all_57_14) & $i(all_57_15)) | (all_57_29
% 191.85/30.04 | | | | | | | | | | | | | | | | | | = e0 & ~ (all_57_16 = e3) & ~ (all_57_18 =
% 191.85/30.04 | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_20 = e1) & ~ (all_57_22
% 191.85/30.04 | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_31 = e1) & op(e1,
% 191.85/30.04 | | | | | | | | | | | | | | | | | | all_57_17) = all_57_16 & op(e1, all_57_19)
% 191.85/30.04 | | | | | | | | | | | | | | | | | | = all_57_18 & op(e1, all_57_21) = all_57_20
% 191.85/30.04 | | | | | | | | | | | | | | | | | | & op(e1, all_57_23) = all_57_22 & op(e1, e3)
% 191.85/30.04 | | | | | | | | | | | | | | | | | | = all_57_17 & op(e1, e2) = all_57_19 &
% 191.85/30.04 | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_21 & op(e1, e0) =
% 191.85/30.04 | | | | | | | | | | | | | | | | | | all_57_23 & op(e0, e1) = e0 & $i(all_57_16)
% 191.85/30.04 | | | | | | | | | | | | | | | | | | & $i(all_57_17) & $i(all_57_18) &
% 191.85/30.04 | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_20) &
% 191.85/30.04 | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_22) &
% 191.85/30.04 | | | | | | | | | | | | | | | | | | $i(all_57_23))))
% 191.85/30.04 | | | | | | | | | | | | | | | | | |
% 191.85/30.04 | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (7), (8), (9), (45), (51), (158), (160),
% 191.85/30.04 | | | | | | | | | | | | | | | | | | (162), (170), (227), (239), (371), (377), (390),
% 191.85/30.04 | | | | | | | | | | | | | | | | | | (391), (392), (396), (450), (458), (466),
% 191.85/30.04 | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 191.85/30.04 | | | | | | | | | | | | | | | | | | #1907.
% 191.85/30.04 | | | | | | | | | | | | | | | | | |
% 191.85/30.04 | | | | | | | | | | | | | | | | | End of split
% 191.85/30.04 | | | | | | | | | | | | | | | | |
% 191.85/30.04 | | | | | | | | | | | | | | | | End of split
% 191.85/30.04 | | | | | | | | | | | | | | | |
% 191.85/30.04 | | | | | | | | | | | | | | | End of split
% 191.85/30.04 | | | | | | | | | | | | | | |
% 191.85/30.04 | | | | | | | | | | | | | | Case 2:
% 191.85/30.04 | | | | | | | | | | | | | | |
% 191.85/30.04 | | | | | | | | | | | | | | | (467) all_54_0 = e2 | all_54_0 = e1 | all_54_0 = e0
% 191.85/30.04 | | | | | | | | | | | | | | |
% 191.85/30.04 | | | | | | | | | | | | | | | REF_CLOSE: (279), (377), (398), (452), (467) are inconsistent
% 191.85/30.04 | | | | | | | | | | | | | | | by sub-proof #1904.
% 191.85/30.04 | | | | | | | | | | | | | | |
% 191.85/30.04 | | | | | | | | | | | | | | End of split
% 191.85/30.04 | | | | | | | | | | | | | |
% 191.85/30.04 | | | | | | | | | | | | | Case 2:
% 191.85/30.04 | | | | | | | | | | | | | |
% 191.85/30.04 | | | | | | | | | | | | | | (468) all_34_2 = e0
% 191.85/30.04 | | | | | | | | | | | | | |
% 191.85/30.04 | | | | | | | | | | | | | | COMBINE_EQS: (313), (468) imply:
% 191.85/30.04 | | | | | | | | | | | | | | (469) all_14_2 = e0
% 191.85/30.04 | | | | | | | | | | | | | |
% 191.85/30.04 | | | | | | | | | | | | | | SIMP: (469) implies:
% 191.85/30.04 | | | | | | | | | | | | | | (470) all_14_2 = e0
% 191.85/30.04 | | | | | | | | | | | | | |
% 191.85/30.04 | | | | | | | | | | | | | | REDUCE: (341), (470) imply:
% 191.85/30.04 | | | | | | | | | | | | | | (471) ~ (all_52_3 = e0)
% 191.85/30.04 | | | | | | | | | | | | | |
% 191.85/30.04 | | | | | | | | | | | | | | REDUCE: (51), (470) imply:
% 191.85/30.04 | | | | | | | | | | | | | | (472) op(e3, e3) = e0
% 191.85/30.04 | | | | | | | | | | | | | |
% 191.85/30.04 | | | | | | | | | | | | | | BETA: splitting (238) gives:
% 191.85/30.04 | | | | | | | | | | | | | |
% 191.85/30.04 | | | | | | | | | | | | | | Case 1:
% 191.85/30.04 | | | | | | | | | | | | | | |
% 191.85/30.05 | | | | | | | | | | | | | | | (473) (all_57_3 = e3 & ~ (all_57_1 = e2) & ~ (all_57_8
% 191.85/30.05 | | | | | | | | | | | | | | | = e3) & ~ (all_57_10 = e2) & ~ (all_57_12 =
% 191.85/30.05 | | | | | | | | | | | | | | | e1) & ~ (all_57_14 = e0) & op(e3, e3) =
% 191.85/30.05 | | | | | | | | | | | | | | | all_57_1 & op(e3, e2) = e3 & op(e2, all_57_9) =
% 191.85/30.05 | | | | | | | | | | | | | | | all_57_8 & op(e2, all_57_11) = all_57_10 &
% 191.85/30.05 | | | | | | | | | | | | | | | op(e2, all_57_13) = all_57_12 & op(e2,
% 191.85/30.05 | | | | | | | | | | | | | | | all_57_15) = all_57_14 & op(e2, e3) = all_57_9
% 191.85/30.05 | | | | | | | | | | | | | | | & op(e2, e2) = all_57_11 & op(e2, e1) =
% 191.85/30.05 | | | | | | | | | | | | | | | all_57_13 & op(e2, e0) = all_57_15 &
% 191.85/30.05 | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_8) & $i(all_57_9) &
% 191.85/30.05 | | | | | | | | | | | | | | | $i(all_57_10) & $i(all_57_11) & $i(all_57_12) &
% 191.85/30.05 | | | | | | | | | | | | | | | $i(all_57_13) & $i(all_57_14) & $i(all_57_15)) |
% 191.85/30.05 | | | | | | | | | | | | | | | (all_57_5 = e3 & ~ (all_57_1 = e1) & ~
% 191.85/30.05 | | | | | | | | | | | | | | | (all_57_16 = e3) & ~ (all_57_18 = e2) & ~
% 191.85/30.05 | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_22 = e0) & op(e3,
% 191.85/30.05 | | | | | | | | | | | | | | | e3) = all_57_1 & op(e3, e1) = e3 & op(e1,
% 191.85/30.05 | | | | | | | | | | | | | | | all_57_17) = all_57_16 & op(e1, all_57_19) =
% 191.85/30.05 | | | | | | | | | | | | | | | all_57_18 & op(e1, all_57_21) = all_57_20 &
% 191.85/30.05 | | | | | | | | | | | | | | | op(e1, all_57_23) = all_57_22 & op(e1, e3) =
% 191.85/30.05 | | | | | | | | | | | | | | | all_57_17 & op(e1, e2) = all_57_19 & op(e1, e1)
% 191.85/30.05 | | | | | | | | | | | | | | | = all_57_21 & op(e1, e0) = all_57_23 &
% 191.85/30.05 | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_16) & $i(all_57_17) &
% 191.85/30.05 | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_19) & $i(all_57_20) &
% 191.85/30.05 | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_22) & $i(all_57_23)) |
% 191.85/30.05 | | | | | | | | | | | | | | | (all_57_7 = e3 & ~ (all_57_1 = e0) & ~
% 191.85/30.05 | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 191.85/30.05 | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) & op(e3,
% 191.85/30.05 | | | | | | | | | | | | | | | e3) = all_57_1 & op(e3, e0) = e3 & op(e0,
% 191.85/30.05 | | | | | | | | | | | | | | | all_57_25) = all_57_24 & op(e0, all_57_27) =
% 191.85/30.05 | | | | | | | | | | | | | | | all_57_26 & op(e0, all_57_29) = all_57_28 &
% 191.85/30.05 | | | | | | | | | | | | | | | op(e0, all_57_31) = all_57_30 & op(e0, e3) =
% 191.85/30.05 | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_27 & op(e0, e1)
% 191.85/30.05 | | | | | | | | | | | | | | | = all_57_29 & op(e0, e0) = all_57_31 &
% 191.85/30.05 | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_24) & $i(all_57_25) &
% 191.85/30.05 | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_27) & $i(all_57_28) &
% 191.85/30.05 | | | | | | | | | | | | | | | $i(all_57_29) & $i(all_57_30) & $i(all_57_31)) |
% 191.85/30.05 | | | | | | | | | | | | | | | (all_57_9 = e2 & ~ (all_57_0 = e3) & ~ (all_57_2
% 191.85/30.05 | | | | | | | | | | | | | | | = e2) & ~ (all_57_4 = e1) & ~ (all_57_6 =
% 191.85/30.05 | | | | | | | | | | | | | | | e0) & ~ (all_57_11 = e3) & op(e3, all_57_1) =
% 191.85/30.05 | | | | | | | | | | | | | | | all_57_0 & op(e3, all_57_3) = all_57_2 & op(e3,
% 191.85/30.05 | | | | | | | | | | | | | | | all_57_5) = all_57_4 & op(e3, all_57_7) =
% 191.85/30.05 | | | | | | | | | | | | | | | all_57_6 & op(e3, e3) = all_57_1 & op(e3, e2) =
% 191.85/30.05 | | | | | | | | | | | | | | | all_57_3 & op(e3, e1) = all_57_5 & op(e3, e0) =
% 191.85/30.05 | | | | | | | | | | | | | | | all_57_7 & op(e2, e3) = e2 & op(e2, e2) =
% 191.85/30.05 | | | | | | | | | | | | | | | all_57_11 & $i(all_57_0) & $i(all_57_1) &
% 191.85/30.05 | | | | | | | | | | | | | | | $i(all_57_2) & $i(all_57_3) & $i(all_57_4) &
% 191.85/30.05 | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 191.85/30.05 | | | | | | | | | | | | | | | $i(all_57_11))
% 191.85/30.05 | | | | | | | | | | | | | | |
% 191.85/30.05 | | | | | | | | | | | | | | | BETA: splitting (473) gives:
% 191.85/30.05 | | | | | | | | | | | | | | |
% 191.85/30.05 | | | | | | | | | | | | | | | Case 1:
% 191.85/30.05 | | | | | | | | | | | | | | | |
% 191.85/30.05 | | | | | | | | | | | | | | | | (474) (all_57_3 = e3 & ~ (all_57_1 = e2) & ~ (all_57_8
% 191.85/30.05 | | | | | | | | | | | | | | | | = e3) & ~ (all_57_10 = e2) & ~ (all_57_12 =
% 191.85/30.05 | | | | | | | | | | | | | | | | e1) & ~ (all_57_14 = e0) & op(e3, e3) =
% 191.85/30.05 | | | | | | | | | | | | | | | | all_57_1 & op(e3, e2) = e3 & op(e2, all_57_9) =
% 191.85/30.05 | | | | | | | | | | | | | | | | all_57_8 & op(e2, all_57_11) = all_57_10 &
% 191.85/30.05 | | | | | | | | | | | | | | | | op(e2, all_57_13) = all_57_12 & op(e2,
% 191.85/30.05 | | | | | | | | | | | | | | | | all_57_15) = all_57_14 & op(e2, e3) = all_57_9
% 191.85/30.05 | | | | | | | | | | | | | | | | & op(e2, e2) = all_57_11 & op(e2, e1) =
% 191.85/30.05 | | | | | | | | | | | | | | | | all_57_13 & op(e2, e0) = all_57_15 &
% 191.85/30.05 | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_8) & $i(all_57_9) &
% 191.85/30.05 | | | | | | | | | | | | | | | | $i(all_57_10) & $i(all_57_11) & $i(all_57_12) &
% 191.85/30.05 | | | | | | | | | | | | | | | | $i(all_57_13) & $i(all_57_14) & $i(all_57_15)) |
% 191.85/30.05 | | | | | | | | | | | | | | | | (all_57_5 = e3 & ~ (all_57_1 = e1) & ~
% 191.85/30.05 | | | | | | | | | | | | | | | | (all_57_16 = e3) & ~ (all_57_18 = e2) & ~
% 191.85/30.05 | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_22 = e0) & op(e3,
% 191.85/30.05 | | | | | | | | | | | | | | | | e3) = all_57_1 & op(e3, e1) = e3 & op(e1,
% 191.85/30.05 | | | | | | | | | | | | | | | | all_57_17) = all_57_16 & op(e1, all_57_19) =
% 191.85/30.05 | | | | | | | | | | | | | | | | all_57_18 & op(e1, all_57_21) = all_57_20 &
% 191.85/30.05 | | | | | | | | | | | | | | | | op(e1, all_57_23) = all_57_22 & op(e1, e3) =
% 191.85/30.05 | | | | | | | | | | | | | | | | all_57_17 & op(e1, e2) = all_57_19 & op(e1, e1)
% 191.85/30.05 | | | | | | | | | | | | | | | | = all_57_21 & op(e1, e0) = all_57_23 &
% 191.85/30.05 | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_16) & $i(all_57_17) &
% 191.85/30.05 | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_19) & $i(all_57_20) &
% 191.85/30.05 | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_22) & $i(all_57_23))
% 191.85/30.05 | | | | | | | | | | | | | | | |
% 191.85/30.05 | | | | | | | | | | | | | | | | REF_CLOSE: (158), (162), (169), (170), (227), (390), (391),
% 191.85/30.05 | | | | | | | | | | | | | | | | (392), (449), (474), (function-axioms) are
% 191.85/30.05 | | | | | | | | | | | | | | | | inconsistent by sub-proof #1903.
% 191.85/30.05 | | | | | | | | | | | | | | | |
% 191.85/30.05 | | | | | | | | | | | | | | | Case 2:
% 191.85/30.05 | | | | | | | | | | | | | | | |
% 191.85/30.05 | | | | | | | | | | | | | | | | (475) (all_57_7 = e3 & ~ (all_57_1 = e0) & ~
% 191.85/30.05 | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 191.85/30.05 | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) & op(e3,
% 191.85/30.05 | | | | | | | | | | | | | | | | e3) = all_57_1 & op(e3, e0) = e3 & op(e0,
% 191.85/30.05 | | | | | | | | | | | | | | | | all_57_25) = all_57_24 & op(e0, all_57_27) =
% 191.85/30.05 | | | | | | | | | | | | | | | | all_57_26 & op(e0, all_57_29) = all_57_28 &
% 191.85/30.05 | | | | | | | | | | | | | | | | op(e0, all_57_31) = all_57_30 & op(e0, e3) =
% 191.85/30.05 | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_27 & op(e0, e1)
% 191.85/30.05 | | | | | | | | | | | | | | | | = all_57_29 & op(e0, e0) = all_57_31 &
% 191.85/30.05 | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_24) & $i(all_57_25) &
% 191.85/30.05 | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_27) & $i(all_57_28) &
% 191.85/30.05 | | | | | | | | | | | | | | | | $i(all_57_29) & $i(all_57_30) & $i(all_57_31)) |
% 191.85/30.05 | | | | | | | | | | | | | | | | (all_57_9 = e2 & ~ (all_57_0 = e3) & ~ (all_57_2
% 191.85/30.05 | | | | | | | | | | | | | | | | = e2) & ~ (all_57_4 = e1) & ~ (all_57_6 =
% 191.85/30.05 | | | | | | | | | | | | | | | | e0) & ~ (all_57_11 = e3) & op(e3, all_57_1) =
% 191.85/30.05 | | | | | | | | | | | | | | | | all_57_0 & op(e3, all_57_3) = all_57_2 & op(e3,
% 191.85/30.05 | | | | | | | | | | | | | | | | all_57_5) = all_57_4 & op(e3, all_57_7) =
% 191.85/30.05 | | | | | | | | | | | | | | | | all_57_6 & op(e3, e3) = all_57_1 & op(e3, e2) =
% 191.85/30.05 | | | | | | | | | | | | | | | | all_57_3 & op(e3, e1) = all_57_5 & op(e3, e0) =
% 191.85/30.05 | | | | | | | | | | | | | | | | all_57_7 & op(e2, e3) = e2 & op(e2, e2) =
% 191.85/30.05 | | | | | | | | | | | | | | | | all_57_11 & $i(all_57_0) & $i(all_57_1) &
% 191.85/30.05 | | | | | | | | | | | | | | | | $i(all_57_2) & $i(all_57_3) & $i(all_57_4) &
% 191.85/30.05 | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 191.85/30.05 | | | | | | | | | | | | | | | | $i(all_57_11))
% 191.85/30.05 | | | | | | | | | | | | | | | |
% 191.85/30.05 | | | | | | | | | | | | | | | | REF_CLOSE: (167), (389), (472), (475), (function-axioms) are
% 191.85/30.05 | | | | | | | | | | | | | | | | inconsistent by sub-proof #1901.
% 191.85/30.05 | | | | | | | | | | | | | | | |
% 191.85/30.05 | | | | | | | | | | | | | | | End of split
% 191.85/30.05 | | | | | | | | | | | | | | |
% 191.85/30.05 | | | | | | | | | | | | | | Case 2:
% 191.85/30.05 | | | | | | | | | | | | | | |
% 191.85/30.06 | | | | | | | | | | | | | | | (476) (all_57_13 = e2 & ~ (all_57_11 = e1) & ~
% 191.85/30.06 | | | | | | | | | | | | | | | (all_57_16 = e3) & ~ (all_57_18 = e2) & ~
% 191.85/30.06 | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_22 = e0) & op(e2,
% 191.85/30.06 | | | | | | | | | | | | | | | e2) = all_57_11 & op(e2, e1) = e2 & op(e1,
% 191.85/30.06 | | | | | | | | | | | | | | | all_57_17) = all_57_16 & op(e1, all_57_19) =
% 191.85/30.06 | | | | | | | | | | | | | | | all_57_18 & op(e1, all_57_21) = all_57_20 &
% 191.85/30.06 | | | | | | | | | | | | | | | op(e1, all_57_23) = all_57_22 & op(e1, e3) =
% 191.85/30.06 | | | | | | | | | | | | | | | all_57_17 & op(e1, e2) = all_57_19 & op(e1, e1)
% 191.85/30.06 | | | | | | | | | | | | | | | = all_57_21 & op(e1, e0) = all_57_23 &
% 191.85/30.06 | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_16) & $i(all_57_17) &
% 191.85/30.06 | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_19) & $i(all_57_20) &
% 191.85/30.06 | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_22) & $i(all_57_23)) |
% 191.85/30.06 | | | | | | | | | | | | | | | (all_57_15 = e2 & ~ (all_57_11 = e0) & ~
% 191.85/30.06 | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 191.85/30.06 | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) & op(e2,
% 191.85/30.06 | | | | | | | | | | | | | | | e2) = all_57_11 & op(e2, e0) = e2 & op(e0,
% 191.85/30.06 | | | | | | | | | | | | | | | all_57_25) = all_57_24 & op(e0, all_57_27) =
% 191.85/30.06 | | | | | | | | | | | | | | | all_57_26 & op(e0, all_57_29) = all_57_28 &
% 191.85/30.06 | | | | | | | | | | | | | | | op(e0, all_57_31) = all_57_30 & op(e0, e3) =
% 191.85/30.06 | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_27 & op(e0, e1)
% 191.85/30.06 | | | | | | | | | | | | | | | = all_57_29 & op(e0, e0) = all_57_31 &
% 191.85/30.06 | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_24) & $i(all_57_25) &
% 191.85/30.06 | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_27) & $i(all_57_28) &
% 191.85/30.06 | | | | | | | | | | | | | | | $i(all_57_29) & $i(all_57_30) & $i(all_57_31)) |
% 191.85/30.06 | | | | | | | | | | | | | | | (all_57_17 = e1 & ~ (all_57_0 = e3) & ~
% 191.85/30.06 | | | | | | | | | | | | | | | (all_57_2 = e2) & ~ (all_57_4 = e1) & ~
% 191.85/30.06 | | | | | | | | | | | | | | | (all_57_6 = e0) & ~ (all_57_21 = e3) & op(e3,
% 191.85/30.06 | | | | | | | | | | | | | | | all_57_1) = all_57_0 & op(e3, all_57_3) =
% 191.85/30.06 | | | | | | | | | | | | | | | all_57_2 & op(e3, all_57_5) = all_57_4 & op(e3,
% 191.85/30.06 | | | | | | | | | | | | | | | all_57_7) = all_57_6 & op(e3, e3) = all_57_1 &
% 191.85/30.06 | | | | | | | | | | | | | | | op(e3, e2) = all_57_3 & op(e3, e1) = all_57_5 &
% 191.85/30.06 | | | | | | | | | | | | | | | op(e3, e0) = all_57_7 & op(e1, e3) = e1 & op(e1,
% 191.85/30.06 | | | | | | | | | | | | | | | e1) = all_57_21 & $i(all_57_0) & $i(all_57_1)
% 191.85/30.06 | | | | | | | | | | | | | | | & $i(all_57_2) & $i(all_57_3) & $i(all_57_4) &
% 191.85/30.06 | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 191.85/30.06 | | | | | | | | | | | | | | | $i(all_57_21)) | (all_57_19 = e1 & ~ (all_57_8
% 191.85/30.06 | | | | | | | | | | | | | | | = e3) & ~ (all_57_10 = e2) & ~ (all_57_12 =
% 191.85/30.06 | | | | | | | | | | | | | | | e1) & ~ (all_57_14 = e0) & ~ (all_57_21 =
% 191.85/30.06 | | | | | | | | | | | | | | | e2) & op(e2, all_57_9) = all_57_8 & op(e2,
% 191.85/30.06 | | | | | | | | | | | | | | | all_57_11) = all_57_10 & op(e2, all_57_13) =
% 191.85/30.06 | | | | | | | | | | | | | | | all_57_12 & op(e2, all_57_15) = all_57_14 &
% 191.85/30.06 | | | | | | | | | | | | | | | op(e2, e3) = all_57_9 & op(e2, e2) = all_57_11 &
% 191.85/30.06 | | | | | | | | | | | | | | | op(e2, e1) = all_57_13 & op(e2, e0) = all_57_15
% 191.85/30.06 | | | | | | | | | | | | | | | & op(e1, e2) = e1 & op(e1, e1) = all_57_21 &
% 191.85/30.06 | | | | | | | | | | | | | | | $i(all_57_8) & $i(all_57_9) & $i(all_57_10) &
% 191.85/30.06 | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_12) & $i(all_57_13) &
% 191.85/30.06 | | | | | | | | | | | | | | | $i(all_57_14) & $i(all_57_15) & $i(all_57_21)) |
% 191.85/30.06 | | | | | | | | | | | | | | | (op(e0, e0) = all_57_31 & $i(all_57_31) &
% 191.85/30.06 | | | | | | | | | | | | | | | ((all_57_23 = e1 & ~ (all_57_21 = e0) & ~
% 191.85/30.06 | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 191.85/30.06 | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) &
% 191.85/30.06 | | | | | | | | | | | | | | | op(e1, e1) = all_57_21 & op(e1, e0) = e1 &
% 191.85/30.06 | | | | | | | | | | | | | | | op(e0, all_57_25) = all_57_24 & op(e0,
% 191.85/30.06 | | | | | | | | | | | | | | | all_57_27) = all_57_26 & op(e0, all_57_29)
% 191.85/30.06 | | | | | | | | | | | | | | | = all_57_28 & op(e0, all_57_31) = all_57_30
% 191.85/30.06 | | | | | | | | | | | | | | | & op(e0, e3) = all_57_25 & op(e0, e2) =
% 191.85/30.06 | | | | | | | | | | | | | | | all_57_27 & op(e0, e1) = all_57_29 &
% 191.85/30.06 | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_24) &
% 191.85/30.06 | | | | | | | | | | | | | | | $i(all_57_25) & $i(all_57_26) &
% 191.85/30.06 | | | | | | | | | | | | | | | $i(all_57_27) & $i(all_57_28) &
% 191.85/30.06 | | | | | | | | | | | | | | | $i(all_57_29) & $i(all_57_30)) | (all_57_25
% 191.85/30.06 | | | | | | | | | | | | | | | = e0 & ~ (all_57_0 = e3) & ~ (all_57_2 =
% 191.85/30.06 | | | | | | | | | | | | | | | e2) & ~ (all_57_4 = e1) & ~ (all_57_6 =
% 191.85/30.06 | | | | | | | | | | | | | | | e0) & ~ (all_57_31 = e3) & op(e3,
% 191.85/30.06 | | | | | | | | | | | | | | | all_57_1) = all_57_0 & op(e3, all_57_3) =
% 191.85/30.06 | | | | | | | | | | | | | | | all_57_2 & op(e3, all_57_5) = all_57_4 &
% 191.85/30.06 | | | | | | | | | | | | | | | op(e3, all_57_7) = all_57_6 & op(e3, e3) =
% 191.85/30.06 | | | | | | | | | | | | | | | all_57_1 & op(e3, e2) = all_57_3 & op(e3,
% 191.85/30.06 | | | | | | | | | | | | | | | e1) = all_57_5 & op(e3, e0) = all_57_7 &
% 191.85/30.06 | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_0) &
% 191.85/30.06 | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_2) & $i(all_57_3) &
% 191.85/30.06 | | | | | | | | | | | | | | | $i(all_57_4) & $i(all_57_5) & $i(all_57_6) &
% 191.85/30.06 | | | | | | | | | | | | | | | $i(all_57_7)) | (all_57_27 = e0 & ~
% 191.85/30.06 | | | | | | | | | | | | | | | (all_57_8 = e3) & ~ (all_57_10 = e2) & ~
% 191.85/30.06 | | | | | | | | | | | | | | | (all_57_12 = e1) & ~ (all_57_14 = e0) & ~
% 191.85/30.06 | | | | | | | | | | | | | | | (all_57_31 = e2) & op(e2, all_57_9) =
% 191.85/30.06 | | | | | | | | | | | | | | | all_57_8 & op(e2, all_57_11) = all_57_10 &
% 191.85/30.06 | | | | | | | | | | | | | | | op(e2, all_57_13) = all_57_12 & op(e2,
% 191.85/30.06 | | | | | | | | | | | | | | | all_57_15) = all_57_14 & op(e2, e3) =
% 191.85/30.06 | | | | | | | | | | | | | | | all_57_9 & op(e2, e2) = all_57_11 & op(e2,
% 191.85/30.06 | | | | | | | | | | | | | | | e1) = all_57_13 & op(e2, e0) = all_57_15 &
% 191.85/30.06 | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_8) &
% 191.85/30.06 | | | | | | | | | | | | | | | $i(all_57_9) & $i(all_57_10) & $i(all_57_11)
% 191.85/30.06 | | | | | | | | | | | | | | | & $i(all_57_12) & $i(all_57_13) &
% 191.85/30.06 | | | | | | | | | | | | | | | $i(all_57_14) & $i(all_57_15)) | (all_57_29
% 191.85/30.06 | | | | | | | | | | | | | | | = e0 & ~ (all_57_16 = e3) & ~ (all_57_18 =
% 191.85/30.06 | | | | | | | | | | | | | | | e2) & ~ (all_57_20 = e1) & ~ (all_57_22
% 191.85/30.06 | | | | | | | | | | | | | | | = e0) & ~ (all_57_31 = e1) & op(e1,
% 191.85/30.06 | | | | | | | | | | | | | | | all_57_17) = all_57_16 & op(e1, all_57_19)
% 191.85/30.06 | | | | | | | | | | | | | | | = all_57_18 & op(e1, all_57_21) = all_57_20
% 191.85/30.06 | | | | | | | | | | | | | | | & op(e1, all_57_23) = all_57_22 & op(e1, e3)
% 191.85/30.06 | | | | | | | | | | | | | | | = all_57_17 & op(e1, e2) = all_57_19 &
% 191.85/30.06 | | | | | | | | | | | | | | | op(e1, e1) = all_57_21 & op(e1, e0) =
% 191.85/30.06 | | | | | | | | | | | | | | | all_57_23 & op(e0, e1) = e0 & $i(all_57_16)
% 191.85/30.06 | | | | | | | | | | | | | | | & $i(all_57_17) & $i(all_57_18) &
% 191.85/30.06 | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_20) &
% 191.85/30.06 | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_22) &
% 191.85/30.06 | | | | | | | | | | | | | | | $i(all_57_23))))
% 191.85/30.06 | | | | | | | | | | | | | | |
% 191.85/30.06 | | | | | | | | | | | | | | | BETA: splitting (476) gives:
% 191.85/30.06 | | | | | | | | | | | | | | |
% 191.85/30.06 | | | | | | | | | | | | | | | Case 1:
% 191.85/30.06 | | | | | | | | | | | | | | | |
% 191.85/30.06 | | | | | | | | | | | | | | | | (477) (all_57_13 = e2 & ~ (all_57_11 = e1) & ~
% 191.85/30.06 | | | | | | | | | | | | | | | | (all_57_16 = e3) & ~ (all_57_18 = e2) & ~
% 191.85/30.06 | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_22 = e0) & op(e2,
% 191.85/30.06 | | | | | | | | | | | | | | | | e2) = all_57_11 & op(e2, e1) = e2 & op(e1,
% 191.85/30.06 | | | | | | | | | | | | | | | | all_57_17) = all_57_16 & op(e1, all_57_19) =
% 191.85/30.06 | | | | | | | | | | | | | | | | all_57_18 & op(e1, all_57_21) = all_57_20 &
% 191.85/30.06 | | | | | | | | | | | | | | | | op(e1, all_57_23) = all_57_22 & op(e1, e3) =
% 191.85/30.06 | | | | | | | | | | | | | | | | all_57_17 & op(e1, e2) = all_57_19 & op(e1, e1)
% 191.85/30.06 | | | | | | | | | | | | | | | | = all_57_21 & op(e1, e0) = all_57_23 &
% 191.85/30.06 | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_16) & $i(all_57_17) &
% 191.85/30.06 | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_19) & $i(all_57_20) &
% 191.85/30.06 | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_22) & $i(all_57_23)) |
% 191.85/30.06 | | | | | | | | | | | | | | | | (all_57_15 = e2 & ~ (all_57_11 = e0) & ~
% 191.85/30.06 | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 191.85/30.06 | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) & op(e2,
% 191.85/30.06 | | | | | | | | | | | | | | | | e2) = all_57_11 & op(e2, e0) = e2 & op(e0,
% 191.85/30.06 | | | | | | | | | | | | | | | | all_57_25) = all_57_24 & op(e0, all_57_27) =
% 191.85/30.06 | | | | | | | | | | | | | | | | all_57_26 & op(e0, all_57_29) = all_57_28 &
% 191.85/30.06 | | | | | | | | | | | | | | | | op(e0, all_57_31) = all_57_30 & op(e0, e3) =
% 191.85/30.06 | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_27 & op(e0, e1)
% 191.85/30.06 | | | | | | | | | | | | | | | | = all_57_29 & op(e0, e0) = all_57_31 &
% 191.85/30.06 | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_24) & $i(all_57_25) &
% 191.85/30.06 | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_27) & $i(all_57_28) &
% 191.85/30.06 | | | | | | | | | | | | | | | | $i(all_57_29) & $i(all_57_30) & $i(all_57_31))
% 191.85/30.06 | | | | | | | | | | | | | | | |
% 191.85/30.06 | | | | | | | | | | | | | | | | REF_CLOSE: (164), (165), (393), (394), (477),
% 191.85/30.06 | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 191.85/30.06 | | | | | | | | | | | | | | | | #1940.
% 191.85/30.06 | | | | | | | | | | | | | | | |
% 191.85/30.06 | | | | | | | | | | | | | | | Case 2:
% 191.85/30.06 | | | | | | | | | | | | | | | |
% 191.85/30.06 | | | | | | | | | | | | | | | | (478) (all_57_17 = e1 & ~ (all_57_0 = e3) & ~
% 191.85/30.06 | | | | | | | | | | | | | | | | (all_57_2 = e2) & ~ (all_57_4 = e1) & ~
% 191.85/30.06 | | | | | | | | | | | | | | | | (all_57_6 = e0) & ~ (all_57_21 = e3) & op(e3,
% 191.85/30.06 | | | | | | | | | | | | | | | | all_57_1) = all_57_0 & op(e3, all_57_3) =
% 191.85/30.06 | | | | | | | | | | | | | | | | all_57_2 & op(e3, all_57_5) = all_57_4 & op(e3,
% 191.85/30.06 | | | | | | | | | | | | | | | | all_57_7) = all_57_6 & op(e3, e3) = all_57_1 &
% 191.85/30.06 | | | | | | | | | | | | | | | | op(e3, e2) = all_57_3 & op(e3, e1) = all_57_5 &
% 191.85/30.06 | | | | | | | | | | | | | | | | op(e3, e0) = all_57_7 & op(e1, e3) = e1 & op(e1,
% 191.85/30.06 | | | | | | | | | | | | | | | | e1) = all_57_21 & $i(all_57_0) & $i(all_57_1)
% 191.85/30.06 | | | | | | | | | | | | | | | | & $i(all_57_2) & $i(all_57_3) & $i(all_57_4) &
% 191.85/30.06 | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 191.85/30.06 | | | | | | | | | | | | | | | | $i(all_57_21)) | (all_57_19 = e1 & ~ (all_57_8
% 191.85/30.06 | | | | | | | | | | | | | | | | = e3) & ~ (all_57_10 = e2) & ~ (all_57_12 =
% 191.85/30.06 | | | | | | | | | | | | | | | | e1) & ~ (all_57_14 = e0) & ~ (all_57_21 =
% 191.85/30.06 | | | | | | | | | | | | | | | | e2) & op(e2, all_57_9) = all_57_8 & op(e2,
% 191.85/30.06 | | | | | | | | | | | | | | | | all_57_11) = all_57_10 & op(e2, all_57_13) =
% 191.85/30.06 | | | | | | | | | | | | | | | | all_57_12 & op(e2, all_57_15) = all_57_14 &
% 191.85/30.06 | | | | | | | | | | | | | | | | op(e2, e3) = all_57_9 & op(e2, e2) = all_57_11 &
% 191.85/30.06 | | | | | | | | | | | | | | | | op(e2, e1) = all_57_13 & op(e2, e0) = all_57_15
% 191.85/30.06 | | | | | | | | | | | | | | | | & op(e1, e2) = e1 & op(e1, e1) = all_57_21 &
% 191.85/30.06 | | | | | | | | | | | | | | | | $i(all_57_8) & $i(all_57_9) & $i(all_57_10) &
% 191.85/30.06 | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_12) & $i(all_57_13) &
% 191.85/30.06 | | | | | | | | | | | | | | | | $i(all_57_14) & $i(all_57_15) & $i(all_57_21)) |
% 191.85/30.06 | | | | | | | | | | | | | | | | (op(e0, e0) = all_57_31 & $i(all_57_31) &
% 191.85/30.06 | | | | | | | | | | | | | | | | ((all_57_23 = e1 & ~ (all_57_21 = e0) & ~
% 191.85/30.06 | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 191.85/30.06 | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) &
% 191.85/30.06 | | | | | | | | | | | | | | | | op(e1, e1) = all_57_21 & op(e1, e0) = e1 &
% 191.85/30.06 | | | | | | | | | | | | | | | | op(e0, all_57_25) = all_57_24 & op(e0,
% 191.85/30.06 | | | | | | | | | | | | | | | | all_57_27) = all_57_26 & op(e0, all_57_29)
% 191.85/30.06 | | | | | | | | | | | | | | | | = all_57_28 & op(e0, all_57_31) = all_57_30
% 191.85/30.06 | | | | | | | | | | | | | | | | & op(e0, e3) = all_57_25 & op(e0, e2) =
% 191.85/30.06 | | | | | | | | | | | | | | | | all_57_27 & op(e0, e1) = all_57_29 &
% 191.85/30.06 | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_24) &
% 191.85/30.06 | | | | | | | | | | | | | | | | $i(all_57_25) & $i(all_57_26) &
% 191.85/30.06 | | | | | | | | | | | | | | | | $i(all_57_27) & $i(all_57_28) &
% 191.85/30.06 | | | | | | | | | | | | | | | | $i(all_57_29) & $i(all_57_30)) | (all_57_25
% 191.85/30.06 | | | | | | | | | | | | | | | | = e0 & ~ (all_57_0 = e3) & ~ (all_57_2 =
% 191.85/30.06 | | | | | | | | | | | | | | | | e2) & ~ (all_57_4 = e1) & ~ (all_57_6 =
% 191.85/30.06 | | | | | | | | | | | | | | | | e0) & ~ (all_57_31 = e3) & op(e3,
% 191.85/30.06 | | | | | | | | | | | | | | | | all_57_1) = all_57_0 & op(e3, all_57_3) =
% 191.85/30.06 | | | | | | | | | | | | | | | | all_57_2 & op(e3, all_57_5) = all_57_4 &
% 191.85/30.06 | | | | | | | | | | | | | | | | op(e3, all_57_7) = all_57_6 & op(e3, e3) =
% 191.85/30.06 | | | | | | | | | | | | | | | | all_57_1 & op(e3, e2) = all_57_3 & op(e3,
% 191.85/30.06 | | | | | | | | | | | | | | | | e1) = all_57_5 & op(e3, e0) = all_57_7 &
% 191.85/30.06 | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_0) &
% 191.85/30.06 | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_2) & $i(all_57_3) &
% 191.85/30.06 | | | | | | | | | | | | | | | | $i(all_57_4) & $i(all_57_5) & $i(all_57_6) &
% 191.85/30.06 | | | | | | | | | | | | | | | | $i(all_57_7)) | (all_57_27 = e0 & ~
% 191.85/30.06 | | | | | | | | | | | | | | | | (all_57_8 = e3) & ~ (all_57_10 = e2) & ~
% 191.85/30.06 | | | | | | | | | | | | | | | | (all_57_12 = e1) & ~ (all_57_14 = e0) & ~
% 191.85/30.06 | | | | | | | | | | | | | | | | (all_57_31 = e2) & op(e2, all_57_9) =
% 191.85/30.06 | | | | | | | | | | | | | | | | all_57_8 & op(e2, all_57_11) = all_57_10 &
% 191.85/30.06 | | | | | | | | | | | | | | | | op(e2, all_57_13) = all_57_12 & op(e2,
% 191.85/30.06 | | | | | | | | | | | | | | | | all_57_15) = all_57_14 & op(e2, e3) =
% 191.85/30.06 | | | | | | | | | | | | | | | | all_57_9 & op(e2, e2) = all_57_11 & op(e2,
% 191.85/30.06 | | | | | | | | | | | | | | | | e1) = all_57_13 & op(e2, e0) = all_57_15 &
% 191.85/30.06 | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_8) &
% 191.85/30.06 | | | | | | | | | | | | | | | | $i(all_57_9) & $i(all_57_10) & $i(all_57_11)
% 191.85/30.06 | | | | | | | | | | | | | | | | & $i(all_57_12) & $i(all_57_13) &
% 191.85/30.06 | | | | | | | | | | | | | | | | $i(all_57_14) & $i(all_57_15)) | (all_57_29
% 191.85/30.06 | | | | | | | | | | | | | | | | = e0 & ~ (all_57_16 = e3) & ~ (all_57_18 =
% 191.85/30.06 | | | | | | | | | | | | | | | | e2) & ~ (all_57_20 = e1) & ~ (all_57_22
% 191.85/30.06 | | | | | | | | | | | | | | | | = e0) & ~ (all_57_31 = e1) & op(e1,
% 191.85/30.06 | | | | | | | | | | | | | | | | all_57_17) = all_57_16 & op(e1, all_57_19)
% 191.85/30.06 | | | | | | | | | | | | | | | | = all_57_18 & op(e1, all_57_21) = all_57_20
% 191.85/30.06 | | | | | | | | | | | | | | | | & op(e1, all_57_23) = all_57_22 & op(e1, e3)
% 191.85/30.06 | | | | | | | | | | | | | | | | = all_57_17 & op(e1, e2) = all_57_19 &
% 191.85/30.06 | | | | | | | | | | | | | | | | op(e1, e1) = all_57_21 & op(e1, e0) =
% 191.85/30.06 | | | | | | | | | | | | | | | | all_57_23 & op(e0, e1) = e0 & $i(all_57_16)
% 191.85/30.06 | | | | | | | | | | | | | | | | & $i(all_57_17) & $i(all_57_18) &
% 191.85/30.06 | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_20) &
% 191.85/30.06 | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_22) &
% 191.85/30.06 | | | | | | | | | | | | | | | | $i(all_57_23))))
% 191.85/30.06 | | | | | | | | | | | | | | | |
% 191.85/30.06 | | | | | | | | | | | | | | | | BETA: splitting (478) gives:
% 191.85/30.06 | | | | | | | | | | | | | | | |
% 191.85/30.06 | | | | | | | | | | | | | | | | Case 1:
% 191.85/30.06 | | | | | | | | | | | | | | | | |
% 191.85/30.06 | | | | | | | | | | | | | | | | | (479) all_57_17 = e1 & ~ (all_57_0 = e3) & ~ (all_57_2
% 191.85/30.06 | | | | | | | | | | | | | | | | | = e2) & ~ (all_57_4 = e1) & ~ (all_57_6 = e0)
% 191.85/30.06 | | | | | | | | | | | | | | | | | & ~ (all_57_21 = e3) & op(e3, all_57_1) =
% 191.85/30.06 | | | | | | | | | | | | | | | | | all_57_0 & op(e3, all_57_3) = all_57_2 & op(e3,
% 191.85/30.06 | | | | | | | | | | | | | | | | | all_57_5) = all_57_4 & op(e3, all_57_7) =
% 191.85/30.06 | | | | | | | | | | | | | | | | | all_57_6 & op(e3, e3) = all_57_1 & op(e3, e2) =
% 191.85/30.06 | | | | | | | | | | | | | | | | | all_57_3 & op(e3, e1) = all_57_5 & op(e3, e0) =
% 191.85/30.06 | | | | | | | | | | | | | | | | | all_57_7 & op(e1, e3) = e1 & op(e1, e1) =
% 191.85/30.06 | | | | | | | | | | | | | | | | | all_57_21 & $i(all_57_0) & $i(all_57_1) &
% 191.85/30.06 | | | | | | | | | | | | | | | | | $i(all_57_2) & $i(all_57_3) & $i(all_57_4) &
% 191.85/30.06 | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 191.85/30.06 | | | | | | | | | | | | | | | | | $i(all_57_21)
% 191.85/30.06 | | | | | | | | | | | | | | | | |
% 191.85/30.07 | | | | | | | | | | | | | | | | | REF_CLOSE: (450), (479), (function-axioms) are inconsistent
% 191.85/30.07 | | | | | | | | | | | | | | | | | by sub-proof #1926.
% 191.85/30.07 | | | | | | | | | | | | | | | | |
% 191.85/30.07 | | | | | | | | | | | | | | | | Case 2:
% 191.85/30.07 | | | | | | | | | | | | | | | | |
% 191.85/30.07 | | | | | | | | | | | | | | | | | (480) (all_57_19 = e1 & ~ (all_57_8 = e3) & ~
% 191.85/30.07 | | | | | | | | | | | | | | | | | (all_57_10 = e2) & ~ (all_57_12 = e1) & ~
% 191.85/30.07 | | | | | | | | | | | | | | | | | (all_57_14 = e0) & ~ (all_57_21 = e2) & op(e2,
% 191.85/30.07 | | | | | | | | | | | | | | | | | all_57_9) = all_57_8 & op(e2, all_57_11) =
% 191.85/30.07 | | | | | | | | | | | | | | | | | all_57_10 & op(e2, all_57_13) = all_57_12 &
% 191.85/30.07 | | | | | | | | | | | | | | | | | op(e2, all_57_15) = all_57_14 & op(e2, e3) =
% 191.85/30.07 | | | | | | | | | | | | | | | | | all_57_9 & op(e2, e2) = all_57_11 & op(e2, e1) =
% 191.85/30.07 | | | | | | | | | | | | | | | | | all_57_13 & op(e2, e0) = all_57_15 & op(e1, e2)
% 191.85/30.07 | | | | | | | | | | | | | | | | | = e1 & op(e1, e1) = all_57_21 & $i(all_57_8) &
% 191.85/30.07 | | | | | | | | | | | | | | | | | $i(all_57_9) & $i(all_57_10) & $i(all_57_11) &
% 191.85/30.07 | | | | | | | | | | | | | | | | | $i(all_57_12) & $i(all_57_13) & $i(all_57_14) &
% 191.85/30.07 | | | | | | | | | | | | | | | | | $i(all_57_15) & $i(all_57_21)) | (op(e0, e0) =
% 191.85/30.07 | | | | | | | | | | | | | | | | | all_57_31 & $i(all_57_31) & ((all_57_23 = e1 &
% 191.85/30.07 | | | | | | | | | | | | | | | | | ~ (all_57_21 = e0) & ~ (all_57_24 = e3) &
% 191.85/30.07 | | | | | | | | | | | | | | | | | ~ (all_57_26 = e2) & ~ (all_57_28 = e1) &
% 191.85/30.07 | | | | | | | | | | | | | | | | | ~ (all_57_30 = e0) & op(e1, e1) = all_57_21
% 191.85/30.07 | | | | | | | | | | | | | | | | | & op(e1, e0) = e1 & op(e0, all_57_25) =
% 191.85/30.07 | | | | | | | | | | | | | | | | | all_57_24 & op(e0, all_57_27) = all_57_26 &
% 191.85/30.07 | | | | | | | | | | | | | | | | | op(e0, all_57_29) = all_57_28 & op(e0,
% 191.85/30.07 | | | | | | | | | | | | | | | | | all_57_31) = all_57_30 & op(e0, e3) =
% 191.85/30.07 | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_27 & op(e0,
% 191.85/30.07 | | | | | | | | | | | | | | | | | e1) = all_57_29 & $i(all_57_21) &
% 191.85/30.07 | | | | | | | | | | | | | | | | | $i(all_57_24) & $i(all_57_25) &
% 191.85/30.07 | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_27) &
% 191.85/30.07 | | | | | | | | | | | | | | | | | $i(all_57_28) & $i(all_57_29) &
% 191.85/30.07 | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_25 = e0 & ~
% 191.85/30.07 | | | | | | | | | | | | | | | | | (all_57_0 = e3) & ~ (all_57_2 = e2) & ~
% 191.85/30.07 | | | | | | | | | | | | | | | | | (all_57_4 = e1) & ~ (all_57_6 = e0) & ~
% 191.85/30.07 | | | | | | | | | | | | | | | | | (all_57_31 = e3) & op(e3, all_57_1) =
% 191.85/30.07 | | | | | | | | | | | | | | | | | all_57_0 & op(e3, all_57_3) = all_57_2 &
% 191.85/30.07 | | | | | | | | | | | | | | | | | op(e3, all_57_5) = all_57_4 & op(e3,
% 191.85/30.07 | | | | | | | | | | | | | | | | | all_57_7) = all_57_6 & op(e3, e3) =
% 191.85/30.07 | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e2) = all_57_3 & op(e3,
% 191.85/30.07 | | | | | | | | | | | | | | | | | e1) = all_57_5 & op(e3, e0) = all_57_7 &
% 191.85/30.07 | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_0) &
% 191.85/30.07 | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_2) & $i(all_57_3) &
% 191.85/30.07 | | | | | | | | | | | | | | | | | $i(all_57_4) & $i(all_57_5) & $i(all_57_6) &
% 191.85/30.07 | | | | | | | | | | | | | | | | | $i(all_57_7)) | (all_57_27 = e0 & ~
% 191.85/30.07 | | | | | | | | | | | | | | | | | (all_57_8 = e3) & ~ (all_57_10 = e2) & ~
% 191.85/30.07 | | | | | | | | | | | | | | | | | (all_57_12 = e1) & ~ (all_57_14 = e0) & ~
% 191.85/30.07 | | | | | | | | | | | | | | | | | (all_57_31 = e2) & op(e2, all_57_9) =
% 191.85/30.07 | | | | | | | | | | | | | | | | | all_57_8 & op(e2, all_57_11) = all_57_10 &
% 191.85/30.07 | | | | | | | | | | | | | | | | | op(e2, all_57_13) = all_57_12 & op(e2,
% 191.85/30.07 | | | | | | | | | | | | | | | | | all_57_15) = all_57_14 & op(e2, e3) =
% 191.85/30.07 | | | | | | | | | | | | | | | | | all_57_9 & op(e2, e2) = all_57_11 & op(e2,
% 191.85/30.07 | | | | | | | | | | | | | | | | | e1) = all_57_13 & op(e2, e0) = all_57_15 &
% 191.85/30.07 | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_8) &
% 191.85/30.07 | | | | | | | | | | | | | | | | | $i(all_57_9) & $i(all_57_10) & $i(all_57_11)
% 191.85/30.07 | | | | | | | | | | | | | | | | | & $i(all_57_12) & $i(all_57_13) &
% 191.85/30.07 | | | | | | | | | | | | | | | | | $i(all_57_14) & $i(all_57_15)) | (all_57_29
% 191.85/30.07 | | | | | | | | | | | | | | | | | = e0 & ~ (all_57_16 = e3) & ~ (all_57_18 =
% 191.85/30.07 | | | | | | | | | | | | | | | | | e2) & ~ (all_57_20 = e1) & ~ (all_57_22
% 191.85/30.07 | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_31 = e1) & op(e1,
% 191.85/30.07 | | | | | | | | | | | | | | | | | all_57_17) = all_57_16 & op(e1, all_57_19)
% 191.85/30.07 | | | | | | | | | | | | | | | | | = all_57_18 & op(e1, all_57_21) = all_57_20
% 191.85/30.07 | | | | | | | | | | | | | | | | | & op(e1, all_57_23) = all_57_22 & op(e1, e3)
% 191.85/30.07 | | | | | | | | | | | | | | | | | = all_57_17 & op(e1, e2) = all_57_19 &
% 191.85/30.07 | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_21 & op(e1, e0) =
% 191.85/30.07 | | | | | | | | | | | | | | | | | all_57_23 & op(e0, e1) = e0 & $i(all_57_16)
% 191.85/30.07 | | | | | | | | | | | | | | | | | & $i(all_57_17) & $i(all_57_18) &
% 191.85/30.07 | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_20) &
% 191.85/30.07 | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_22) &
% 191.85/30.07 | | | | | | | | | | | | | | | | | $i(all_57_23))))
% 191.85/30.07 | | | | | | | | | | | | | | | | |
% 191.85/30.07 | | | | | | | | | | | | | | | | | BETA: splitting (480) gives:
% 191.85/30.07 | | | | | | | | | | | | | | | | |
% 191.85/30.07 | | | | | | | | | | | | | | | | | Case 1:
% 191.85/30.07 | | | | | | | | | | | | | | | | | |
% 191.85/30.07 | | | | | | | | | | | | | | | | | | (481) all_57_19 = e1 & ~ (all_57_8 = e3) & ~
% 191.85/30.07 | | | | | | | | | | | | | | | | | | (all_57_10 = e2) & ~ (all_57_12 = e1) & ~
% 191.85/30.07 | | | | | | | | | | | | | | | | | | (all_57_14 = e0) & ~ (all_57_21 = e2) & op(e2,
% 191.85/30.07 | | | | | | | | | | | | | | | | | | all_57_9) = all_57_8 & op(e2, all_57_11) =
% 191.85/30.07 | | | | | | | | | | | | | | | | | | all_57_10 & op(e2, all_57_13) = all_57_12 & op(e2,
% 191.85/30.07 | | | | | | | | | | | | | | | | | | all_57_15) = all_57_14 & op(e2, e3) = all_57_9 &
% 191.85/30.07 | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_11 & op(e2, e1) = all_57_13 &
% 191.85/30.07 | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_15 & op(e1, e2) = e1 & op(e1,
% 191.85/30.07 | | | | | | | | | | | | | | | | | | e1) = all_57_21 & $i(all_57_8) & $i(all_57_9) &
% 191.85/30.07 | | | | | | | | | | | | | | | | | | $i(all_57_10) & $i(all_57_11) & $i(all_57_12) &
% 191.85/30.07 | | | | | | | | | | | | | | | | | | $i(all_57_13) & $i(all_57_14) & $i(all_57_15) &
% 191.85/30.07 | | | | | | | | | | | | | | | | | | $i(all_57_21)
% 191.85/30.07 | | | | | | | | | | | | | | | | | |
% 191.85/30.07 | | | | | | | | | | | | | | | | | | ALPHA: (481) implies:
% 191.85/30.07 | | | | | | | | | | | | | | | | | | (482) ~ (all_57_10 = e2)
% 191.85/30.07 | | | | | | | | | | | | | | | | | | (483) op(e2, e2) = all_57_11
% 191.85/30.07 | | | | | | | | | | | | | | | | | | (484) op(e2, all_57_11) = all_57_10
% 191.85/30.07 | | | | | | | | | | | | | | | | | |
% 191.85/30.07 | | | | | | | | | | | | | | | | | | REF_CLOSE: (158), (162), (170), (227), (390), (391), (392),
% 191.85/30.07 | | | | | | | | | | | | | | | | | | (482), (483), (484), (function-axioms) are
% 191.85/30.07 | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1967.
% 191.85/30.07 | | | | | | | | | | | | | | | | | |
% 191.85/30.07 | | | | | | | | | | | | | | | | | Case 2:
% 191.85/30.07 | | | | | | | | | | | | | | | | | |
% 191.85/30.07 | | | | | | | | | | | | | | | | | | (485) op(e0, e0) = all_57_31 & $i(all_57_31) &
% 191.85/30.07 | | | | | | | | | | | | | | | | | | ((all_57_23 = e1 & ~ (all_57_21 = e0) & ~
% 191.85/30.07 | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 191.85/30.07 | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) &
% 191.85/30.07 | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_21 & op(e1, e0) = e1 &
% 191.85/30.07 | | | | | | | | | | | | | | | | | | op(e0, all_57_25) = all_57_24 & op(e0,
% 191.85/30.07 | | | | | | | | | | | | | | | | | | all_57_27) = all_57_26 & op(e0, all_57_29) =
% 191.85/30.07 | | | | | | | | | | | | | | | | | | all_57_28 & op(e0, all_57_31) = all_57_30 &
% 191.85/30.07 | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_25 & op(e0, e2) =
% 191.85/30.07 | | | | | | | | | | | | | | | | | | all_57_27 & op(e0, e1) = all_57_29 &
% 191.85/30.07 | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_24) & $i(all_57_25)
% 191.85/30.07 | | | | | | | | | | | | | | | | | | & $i(all_57_26) & $i(all_57_27) &
% 191.85/30.07 | | | | | | | | | | | | | | | | | | $i(all_57_28) & $i(all_57_29) & $i(all_57_30))
% 191.85/30.07 | | | | | | | | | | | | | | | | | | | (all_57_25 = e0 & ~ (all_57_0 = e3) & ~
% 191.85/30.07 | | | | | | | | | | | | | | | | | | (all_57_2 = e2) & ~ (all_57_4 = e1) & ~
% 191.85/30.07 | | | | | | | | | | | | | | | | | | (all_57_6 = e0) & ~ (all_57_31 = e3) & op(e3,
% 191.85/30.07 | | | | | | | | | | | | | | | | | | all_57_1) = all_57_0 & op(e3, all_57_3) =
% 191.85/30.07 | | | | | | | | | | | | | | | | | | all_57_2 & op(e3, all_57_5) = all_57_4 &
% 191.85/30.07 | | | | | | | | | | | | | | | | | | op(e3, all_57_7) = all_57_6 & op(e3, e3) =
% 191.85/30.07 | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e2) = all_57_3 & op(e3, e1)
% 191.85/30.07 | | | | | | | | | | | | | | | | | | = all_57_5 & op(e3, e0) = all_57_7 & op(e0,
% 191.85/30.07 | | | | | | | | | | | | | | | | | | e3) = e0 & $i(all_57_0) & $i(all_57_1) &
% 191.85/30.07 | | | | | | | | | | | | | | | | | | $i(all_57_2) & $i(all_57_3) & $i(all_57_4) &
% 191.85/30.07 | | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_6) & $i(all_57_7)) |
% 191.85/30.07 | | | | | | | | | | | | | | | | | | (all_57_27 = e0 & ~ (all_57_8 = e3) & ~
% 191.85/30.07 | | | | | | | | | | | | | | | | | | (all_57_10 = e2) & ~ (all_57_12 = e1) & ~
% 191.85/30.07 | | | | | | | | | | | | | | | | | | (all_57_14 = e0) & ~ (all_57_31 = e2) &
% 191.85/30.07 | | | | | | | | | | | | | | | | | | op(e2, all_57_9) = all_57_8 & op(e2,
% 191.85/30.07 | | | | | | | | | | | | | | | | | | all_57_11) = all_57_10 & op(e2, all_57_13) =
% 191.85/30.07 | | | | | | | | | | | | | | | | | | all_57_12 & op(e2, all_57_15) = all_57_14 &
% 191.85/30.07 | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_9 & op(e2, e2) = all_57_11
% 191.85/30.07 | | | | | | | | | | | | | | | | | | & op(e2, e1) = all_57_13 & op(e2, e0) =
% 191.85/30.07 | | | | | | | | | | | | | | | | | | all_57_15 & op(e0, e2) = e0 & $i(all_57_8) &
% 191.85/30.07 | | | | | | | | | | | | | | | | | | $i(all_57_9) & $i(all_57_10) & $i(all_57_11) &
% 191.85/30.07 | | | | | | | | | | | | | | | | | | $i(all_57_12) & $i(all_57_13) & $i(all_57_14)
% 191.85/30.07 | | | | | | | | | | | | | | | | | | & $i(all_57_15)) | (all_57_29 = e0 & ~
% 191.85/30.07 | | | | | | | | | | | | | | | | | | (all_57_16 = e3) & ~ (all_57_18 = e2) & ~
% 191.85/30.07 | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_22 = e0) & ~
% 191.85/30.07 | | | | | | | | | | | | | | | | | | (all_57_31 = e1) & op(e1, all_57_17) =
% 191.85/30.07 | | | | | | | | | | | | | | | | | | all_57_16 & op(e1, all_57_19) = all_57_18 &
% 191.85/30.07 | | | | | | | | | | | | | | | | | | op(e1, all_57_21) = all_57_20 & op(e1,
% 191.85/30.07 | | | | | | | | | | | | | | | | | | all_57_23) = all_57_22 & op(e1, e3) =
% 191.85/30.07 | | | | | | | | | | | | | | | | | | all_57_17 & op(e1, e2) = all_57_19 & op(e1,
% 191.85/30.07 | | | | | | | | | | | | | | | | | | e1) = all_57_21 & op(e1, e0) = all_57_23 &
% 191.85/30.07 | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_16) &
% 191.85/30.07 | | | | | | | | | | | | | | | | | | $i(all_57_17) & $i(all_57_18) & $i(all_57_19)
% 191.85/30.07 | | | | | | | | | | | | | | | | | | & $i(all_57_20) & $i(all_57_21) &
% 191.85/30.07 | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_23)))
% 191.85/30.07 | | | | | | | | | | | | | | | | | |
% 191.85/30.07 | | | | | | | | | | | | | | | | | | ALPHA: (485) implies:
% 191.85/30.07 | | | | | | | | | | | | | | | | | | (486) op(e0, e0) = all_57_31
% 191.85/30.08 | | | | | | | | | | | | | | | | | | (487) (all_57_23 = e1 & ~ (all_57_21 = e0) & ~
% 191.85/30.08 | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 191.85/30.08 | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) & op(e1,
% 191.85/30.08 | | | | | | | | | | | | | | | | | | e1) = all_57_21 & op(e1, e0) = e1 & op(e0,
% 191.85/30.08 | | | | | | | | | | | | | | | | | | all_57_25) = all_57_24 & op(e0, all_57_27) =
% 191.85/30.08 | | | | | | | | | | | | | | | | | | all_57_26 & op(e0, all_57_29) = all_57_28 &
% 191.85/30.08 | | | | | | | | | | | | | | | | | | op(e0, all_57_31) = all_57_30 & op(e0, e3) =
% 191.85/30.08 | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_27 & op(e0, e1)
% 191.85/30.08 | | | | | | | | | | | | | | | | | | = all_57_29 & $i(all_57_21) & $i(all_57_24) &
% 191.85/30.08 | | | | | | | | | | | | | | | | | | $i(all_57_25) & $i(all_57_26) & $i(all_57_27) &
% 191.85/30.08 | | | | | | | | | | | | | | | | | | $i(all_57_28) & $i(all_57_29) & $i(all_57_30)) |
% 191.85/30.08 | | | | | | | | | | | | | | | | | | (all_57_25 = e0 & ~ (all_57_0 = e3) & ~
% 191.85/30.08 | | | | | | | | | | | | | | | | | | (all_57_2 = e2) & ~ (all_57_4 = e1) & ~
% 191.85/30.08 | | | | | | | | | | | | | | | | | | (all_57_6 = e0) & ~ (all_57_31 = e3) & op(e3,
% 191.85/30.08 | | | | | | | | | | | | | | | | | | all_57_1) = all_57_0 & op(e3, all_57_3) =
% 191.85/30.08 | | | | | | | | | | | | | | | | | | all_57_2 & op(e3, all_57_5) = all_57_4 & op(e3,
% 191.85/30.08 | | | | | | | | | | | | | | | | | | all_57_7) = all_57_6 & op(e3, e3) = all_57_1 &
% 191.85/30.08 | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_3 & op(e3, e1) = all_57_5 &
% 191.85/30.08 | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_7 & op(e0, e3) = e0 &
% 191.85/30.08 | | | | | | | | | | | | | | | | | | $i(all_57_0) & $i(all_57_1) & $i(all_57_2) &
% 191.85/30.08 | | | | | | | | | | | | | | | | | | $i(all_57_3) & $i(all_57_4) & $i(all_57_5) &
% 191.85/30.08 | | | | | | | | | | | | | | | | | | $i(all_57_6) & $i(all_57_7)) | (all_57_27 = e0 &
% 191.85/30.08 | | | | | | | | | | | | | | | | | | ~ (all_57_8 = e3) & ~ (all_57_10 = e2) & ~
% 191.85/30.08 | | | | | | | | | | | | | | | | | | (all_57_12 = e1) & ~ (all_57_14 = e0) & ~
% 191.85/30.08 | | | | | | | | | | | | | | | | | | (all_57_31 = e2) & op(e2, all_57_9) = all_57_8 &
% 191.85/30.08 | | | | | | | | | | | | | | | | | | op(e2, all_57_11) = all_57_10 & op(e2,
% 191.85/30.08 | | | | | | | | | | | | | | | | | | all_57_13) = all_57_12 & op(e2, all_57_15) =
% 191.85/30.08 | | | | | | | | | | | | | | | | | | all_57_14 & op(e2, e3) = all_57_9 & op(e2, e2) =
% 191.85/30.08 | | | | | | | | | | | | | | | | | | all_57_11 & op(e2, e1) = all_57_13 & op(e2, e0)
% 191.85/30.08 | | | | | | | | | | | | | | | | | | = all_57_15 & op(e0, e2) = e0 & $i(all_57_8) &
% 191.85/30.08 | | | | | | | | | | | | | | | | | | $i(all_57_9) & $i(all_57_10) & $i(all_57_11) &
% 191.85/30.08 | | | | | | | | | | | | | | | | | | $i(all_57_12) & $i(all_57_13) & $i(all_57_14) &
% 191.85/30.08 | | | | | | | | | | | | | | | | | | $i(all_57_15)) | (all_57_29 = e0 & ~ (all_57_16
% 191.85/30.08 | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_18 = e2) & ~ (all_57_20 =
% 191.85/30.08 | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_22 = e0) & ~ (all_57_31 =
% 191.85/30.08 | | | | | | | | | | | | | | | | | | e1) & op(e1, all_57_17) = all_57_16 & op(e1,
% 191.85/30.08 | | | | | | | | | | | | | | | | | | all_57_19) = all_57_18 & op(e1, all_57_21) =
% 191.85/30.08 | | | | | | | | | | | | | | | | | | all_57_20 & op(e1, all_57_23) = all_57_22 &
% 191.85/30.08 | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_17 & op(e1, e2) = all_57_19
% 191.85/30.08 | | | | | | | | | | | | | | | | | | & op(e1, e1) = all_57_21 & op(e1, e0) =
% 191.85/30.08 | | | | | | | | | | | | | | | | | | all_57_23 & op(e0, e1) = e0 & $i(all_57_16) &
% 191.85/30.08 | | | | | | | | | | | | | | | | | | $i(all_57_17) & $i(all_57_18) & $i(all_57_19) &
% 191.85/30.08 | | | | | | | | | | | | | | | | | | $i(all_57_20) & $i(all_57_21) & $i(all_57_22) &
% 191.85/30.08 | | | | | | | | | | | | | | | | | | $i(all_57_23))
% 191.85/30.08 | | | | | | | | | | | | | | | | | |
% 191.85/30.08 | | | | | | | | | | | | | | | | | | REF_CLOSE: (45), (91), (157), (158), (159), (160), (162),
% 191.85/30.08 | | | | | | | | | | | | | | | | | | (170), (189), (227), (246), (307), (361), (368),
% 191.85/30.08 | | | | | | | | | | | | | | | | | | (371), (376), (390), (391), (392), (400), (471),
% 191.85/30.08 | | | | | | | | | | | | | | | | | | (486), (487), (function-axioms) are inconsistent
% 191.85/30.08 | | | | | | | | | | | | | | | | | | by sub-proof #1887.
% 191.85/30.08 | | | | | | | | | | | | | | | | | |
% 191.85/30.08 | | | | | | | | | | | | | | | | | End of split
% 191.85/30.08 | | | | | | | | | | | | | | | | |
% 191.85/30.08 | | | | | | | | | | | | | | | | End of split
% 191.85/30.08 | | | | | | | | | | | | | | | |
% 191.85/30.08 | | | | | | | | | | | | | | | End of split
% 191.85/30.08 | | | | | | | | | | | | | | |
% 191.85/30.08 | | | | | | | | | | | | | | End of split
% 191.85/30.08 | | | | | | | | | | | | | |
% 191.85/30.08 | | | | | | | | | | | | | End of split
% 191.85/30.08 | | | | | | | | | | | | |
% 191.85/30.08 | | | | | | | | | | | | End of split
% 191.85/30.08 | | | | | | | | | | | |
% 191.85/30.08 | | | | | | | | | | | Case 2:
% 191.85/30.08 | | | | | | | | | | | |
% 191.85/30.08 | | | | | | | | | | | | (488) all_30_2 = e2
% 191.85/30.08 | | | | | | | | | | | |
% 191.85/30.08 | | | | | | | | | | | | COMBINE_EQS: (309), (488) imply:
% 191.85/30.08 | | | | | | | | | | | | (489) all_10_2 = e2
% 191.85/30.08 | | | | | | | | | | | |
% 191.85/30.08 | | | | | | | | | | | | SIMP: (489) implies:
% 191.85/30.08 | | | | | | | | | | | | (490) all_10_2 = e2
% 191.85/30.08 | | | | | | | | | | | |
% 191.85/30.08 | | | | | | | | | | | | REDUCE: (369), (490) imply:
% 191.85/30.08 | | | | | | | | | | | | (491) ~ (all_52_12 = e2)
% 191.85/30.08 | | | | | | | | | | | |
% 191.85/30.08 | | | | | | | | | | | | REDUCE: (371), (490) imply:
% 191.85/30.08 | | | | | | | | | | | | (492) ~ (all_52_14 = e2)
% 191.85/30.08 | | | | | | | | | | | |
% 191.85/30.08 | | | | | | | | | | | | REDUCE: (45), (490) imply:
% 191.85/30.08 | | | | | | | | | | | | (493) op(e0, e0) = e2
% 191.85/30.08 | | | | | | | | | | | |
% 191.85/30.08 | | | | | | | | | | | | BETA: splitting (215) gives:
% 191.85/30.08 | | | | | | | | | | | |
% 191.85/30.08 | | | | | | | | | | | | Case 1:
% 191.85/30.08 | | | | | | | | | | | | |
% 191.85/30.08 | | | | | | | | | | | | | (494) (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_7 = e2
% 191.85/30.08 | | | | | | | | | | | | | & op(e1, e2) = e2)
% 191.85/30.08 | | | | | | | | | | | | |
% 191.85/30.08 | | | | | | | | | | | | | BETA: splitting (494) gives:
% 191.85/30.08 | | | | | | | | | | | | |
% 191.85/30.08 | | | | | | | | | | | | | Case 1:
% 191.85/30.08 | | | | | | | | | | | | | |
% 191.85/30.08 | | | | | | | | | | | | | | (495) all_56_6 = e2 & op(e1, e3) = e2
% 191.85/30.08 | | | | | | | | | | | | | |
% 191.85/30.08 | | | | | | | | | | | | | | ALPHA: (495) implies:
% 191.85/30.08 | | | | | | | | | | | | | | (496) all_56_6 = e2
% 191.85/30.08 | | | | | | | | | | | | | | (497) op(e1, e3) = e2
% 191.85/30.08 | | | | | | | | | | | | | |
% 191.85/30.08 | | | | | | | | | | | | | | BETA: splitting (234) gives:
% 191.85/30.08 | | | | | | | | | | | | | |
% 191.85/30.08 | | | | | | | | | | | | | | Case 1:
% 191.85/30.08 | | | | | | | | | | | | | | |
% 191.85/30.08 | | | | | | | | | | | | | | | (498) (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_1 = e2
% 191.85/30.08 | | | | | | | | | | | | | | | & op(e3, e2) = e2)
% 191.85/30.08 | | | | | | | | | | | | | | |
% 191.85/30.08 | | | | | | | | | | | | | | | REF_CLOSE: (51), (170), (377), (390), (498),
% 191.85/30.08 | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 191.85/30.08 | | | | | | | | | | | | | | | #1886.
% 191.85/30.08 | | | | | | | | | | | | | | |
% 191.85/30.08 | | | | | | | | | | | | | | Case 2:
% 191.85/30.08 | | | | | | | | | | | | | | |
% 191.85/30.08 | | | | | | | | | | | | | | | (499) (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_9 = e2
% 191.85/30.08 | | | | | | | | | | | | | | | & op(e3, e0) = e2)
% 191.85/30.08 | | | | | | | | | | | | | | |
% 191.85/30.08 | | | | | | | | | | | | | | | BETA: splitting (499) gives:
% 191.85/30.08 | | | | | | | | | | | | | | |
% 191.85/30.08 | | | | | | | | | | | | | | | Case 1:
% 191.85/30.08 | | | | | | | | | | | | | | | |
% 191.85/30.08 | | | | | | | | | | | | | | | | (500) all_56_4 = e2 & op(e3, e1) = e2
% 191.85/30.08 | | | | | | | | | | | | | | | |
% 191.85/30.08 | | | | | | | | | | | | | | | | ALPHA: (500) implies:
% 191.85/30.08 | | | | | | | | | | | | | | | | (501) all_56_4 = e2
% 191.85/30.08 | | | | | | | | | | | | | | | | (502) op(e3, e1) = e2
% 191.85/30.08 | | | | | | | | | | | | | | | |
% 191.85/30.08 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_2, e2,
% 191.85/30.08 | | | | | | | | | | | | | | | | e3, e1, simplifying with (163), (497) gives:
% 191.85/30.08 | | | | | | | | | | | | | | | | (503) all_52_2 = e2
% 191.85/30.08 | | | | | | | | | | | | | | | |
% 191.85/30.08 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_8, e2,
% 191.85/30.08 | | | | | | | | | | | | | | | | e1, e3, simplifying with (169), (502) gives:
% 191.85/30.08 | | | | | | | | | | | | | | | | (504) all_52_8 = e2
% 191.85/30.08 | | | | | | | | | | | | | | | |
% 191.85/30.08 | | | | | | | | | | | | | | | | REDUCE: (144), (503) imply:
% 191.85/30.08 | | | | | | | | | | | | | | | | (505) ~ (all_52_3 = e2)
% 191.85/30.08 | | | | | | | | | | | | | | | |
% 191.85/30.08 | | | | | | | | | | | | | | | | SIMP: (505) implies:
% 191.85/30.08 | | | | | | | | | | | | | | | | (506) ~ (all_52_3 = e2)
% 191.85/30.08 | | | | | | | | | | | | | | | |
% 191.85/30.08 | | | | | | | | | | | | | | | | REDUCE: (143), (503) imply:
% 191.85/30.08 | | | | | | | | | | | | | | | | (507) ~ (all_52_6 = e2)
% 191.85/30.08 | | | | | | | | | | | | | | | |
% 191.85/30.08 | | | | | | | | | | | | | | | | REDUCE: (141), (503) imply:
% 191.85/30.08 | | | | | | | | | | | | | | | | (508) ~ (all_52_14 = e2)
% 191.85/30.08 | | | | | | | | | | | | | | | |
% 191.85/30.08 | | | | | | | | | | | | | | | | REDUCE: (123), (504) imply:
% 191.85/30.08 | | | | | | | | | | | | | | | | (509) ~ (all_52_9 = e2)
% 191.85/30.08 | | | | | | | | | | | | | | | |
% 191.85/30.08 | | | | | | | | | | | | | | | | REDUCE: (121), (504) imply:
% 191.85/30.08 | | | | | | | | | | | | | | | | (510) ~ (all_52_11 = e2)
% 191.85/30.08 | | | | | | | | | | | | | | | |
% 191.85/30.08 | | | | | | | | | | | | | | | | SIMP: (510) implies:
% 191.85/30.08 | | | | | | | | | | | | | | | | (511) ~ (all_52_11 = e2)
% 191.85/30.08 | | | | | | | | | | | | | | | |
% 191.85/30.08 | | | | | | | | | | | | | | | | REDUCE: (120), (504) imply:
% 191.85/30.08 | | | | | | | | | | | | | | | | (512) ~ (all_52_12 = e2)
% 191.85/30.08 | | | | | | | | | | | | | | | |
% 191.85/30.08 | | | | | | | | | | | | | | | | REDUCE: (345), (504) imply:
% 191.85/30.08 | | | | | | | | | | | | | | | | (513) ~ (all_14_2 = e2)
% 191.85/30.08 | | | | | | | | | | | | | | | |
% 191.85/30.08 | | | | | | | | | | | | | | | | REDUCE: (362), (504) imply:
% 191.85/30.08 | | | | | | | | | | | | | | | | (514) ~ (all_4_2 = e2)
% 191.85/30.08 | | | | | | | | | | | | | | | |
% 191.85/30.08 | | | | | | | | | | | | | | | | BETA: splitting (79) gives:
% 191.85/30.08 | | | | | | | | | | | | | | | |
% 191.85/30.08 | | | | | | | | | | | | | | | | Case 1:
% 191.85/30.08 | | | | | | | | | | | | | | | | |
% 191.85/30.08 | | | | | | | | | | | | | | | | | (515) ~ (all_32_2 = e3)
% 191.85/30.08 | | | | | | | | | | | | | | | | |
% 191.85/30.08 | | | | | | | | | | | | | | | | | REDUCE: (301), (515) imply:
% 191.85/30.08 | | | | | | | | | | | | | | | | | (516) ~ (all_4_2 = e3)
% 191.85/30.08 | | | | | | | | | | | | | | | | |
% 191.85/30.08 | | | | | | | | | | | | | | | | | BETA: splitting (194) gives:
% 191.85/30.08 | | | | | | | | | | | | | | | | |
% 191.85/30.08 | | | | | | | | | | | | | | | | | Case 1:
% 191.85/30.08 | | | | | | | | | | | | | | | | | |
% 191.85/30.08 | | | | | | | | | | | | | | | | | | (517) all_54_10 = e3
% 191.85/30.08 | | | | | | | | | | | | | | | | | |
% 191.85/30.08 | | | | | | | | | | | | | | | | | | REF_CLOSE: (335), (516), (517) are inconsistent by sub-proof
% 191.85/30.08 | | | | | | | | | | | | | | | | | | #1974.
% 191.85/30.08 | | | | | | | | | | | | | | | | | |
% 191.85/30.08 | | | | | | | | | | | | | | | | | Case 2:
% 191.85/30.08 | | | | | | | | | | | | | | | | | |
% 191.85/30.08 | | | | | | | | | | | | | | | | | | (518) ~ (all_54_10 = e3)
% 191.85/30.08 | | | | | | | | | | | | | | | | | | (519) all_54_10 = e2 | all_54_10 = e1 | all_54_10 = e0
% 191.85/30.08 | | | | | | | | | | | | | | | | | |
% 191.85/30.08 | | | | | | | | | | | | | | | | | | BETA: splitting (239) gives:
% 191.85/30.08 | | | | | | | | | | | | | | | | | |
% 191.85/30.08 | | | | | | | | | | | | | | | | | | Case 1:
% 191.85/30.08 | | | | | | | | | | | | | | | | | | |
% 191.85/30.09 | | | | | | | | | | | | | | | | | | | (520) (all_57_1 = e2 & ~ (all_57_3 = e3) & ~ (all_57_8
% 191.85/30.09 | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_10 = e2) & ~ (all_57_12 =
% 191.85/30.09 | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_14 = e0) & op(e3, e3) = e2 &
% 191.85/30.09 | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_3 & op(e2, all_57_9) =
% 191.85/30.09 | | | | | | | | | | | | | | | | | | | all_57_8 & op(e2, all_57_11) = all_57_10 &
% 191.85/30.09 | | | | | | | | | | | | | | | | | | | op(e2, all_57_13) = all_57_12 & op(e2,
% 191.85/30.09 | | | | | | | | | | | | | | | | | | | all_57_15) = all_57_14 & op(e2, e3) = all_57_9
% 191.85/30.09 | | | | | | | | | | | | | | | | | | | & op(e2, e2) = all_57_11 & op(e2, e1) =
% 191.85/30.09 | | | | | | | | | | | | | | | | | | | all_57_13 & op(e2, e0) = all_57_15 &
% 191.85/30.09 | | | | | | | | | | | | | | | | | | | $i(all_57_3) & $i(all_57_8) & $i(all_57_9) &
% 191.85/30.09 | | | | | | | | | | | | | | | | | | | $i(all_57_10) & $i(all_57_11) & $i(all_57_12) &
% 191.85/30.09 | | | | | | | | | | | | | | | | | | | $i(all_57_13) & $i(all_57_14) & $i(all_57_15)) |
% 191.85/30.09 | | | | | | | | | | | | | | | | | | | (all_57_1 = e1 & ~ (all_57_5 = e3) & ~
% 191.85/30.09 | | | | | | | | | | | | | | | | | | | (all_57_16 = e3) & ~ (all_57_18 = e2) & ~
% 191.85/30.09 | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_22 = e0) & op(e3,
% 191.85/30.09 | | | | | | | | | | | | | | | | | | | e3) = e1 & op(e3, e1) = all_57_5 & op(e1,
% 191.85/30.09 | | | | | | | | | | | | | | | | | | | all_57_17) = all_57_16 & op(e1, all_57_19) =
% 191.85/30.09 | | | | | | | | | | | | | | | | | | | all_57_18 & op(e1, all_57_21) = all_57_20 &
% 191.85/30.09 | | | | | | | | | | | | | | | | | | | op(e1, all_57_23) = all_57_22 & op(e1, e3) =
% 191.85/30.09 | | | | | | | | | | | | | | | | | | | all_57_17 & op(e1, e2) = all_57_19 & op(e1, e1)
% 191.85/30.09 | | | | | | | | | | | | | | | | | | | = all_57_21 & op(e1, e0) = all_57_23 &
% 191.85/30.09 | | | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_16) & $i(all_57_17) &
% 191.85/30.09 | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_19) & $i(all_57_20) &
% 191.85/30.09 | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_22) & $i(all_57_23)) |
% 191.85/30.09 | | | | | | | | | | | | | | | | | | | (all_57_1 = e0 & ~ (all_57_7 = e3) & ~
% 191.85/30.09 | | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 191.85/30.09 | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) & op(e3,
% 191.85/30.09 | | | | | | | | | | | | | | | | | | | e3) = e0 & op(e3, e0) = all_57_7 & op(e0,
% 191.85/30.09 | | | | | | | | | | | | | | | | | | | all_57_25) = all_57_24 & op(e0, all_57_27) =
% 191.85/30.09 | | | | | | | | | | | | | | | | | | | all_57_26 & op(e0, all_57_29) = all_57_28 &
% 191.85/30.09 | | | | | | | | | | | | | | | | | | | op(e0, all_57_31) = all_57_30 & op(e0, e3) =
% 191.85/30.09 | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_27 & op(e0, e1)
% 191.85/30.09 | | | | | | | | | | | | | | | | | | | = all_57_29 & op(e0, e0) = all_57_31 &
% 191.85/30.09 | | | | | | | | | | | | | | | | | | | $i(all_57_7) & $i(all_57_24) & $i(all_57_25) &
% 191.85/30.09 | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_27) & $i(all_57_28) &
% 191.85/30.09 | | | | | | | | | | | | | | | | | | | $i(all_57_29) & $i(all_57_30) & $i(all_57_31)) |
% 191.85/30.09 | | | | | | | | | | | | | | | | | | | (all_57_11 = e3 & ~ (all_57_0 = e3) & ~
% 191.85/30.09 | | | | | | | | | | | | | | | | | | | (all_57_2 = e2) & ~ (all_57_4 = e1) & ~
% 191.85/30.09 | | | | | | | | | | | | | | | | | | | (all_57_6 = e0) & ~ (all_57_9 = e2) & op(e3,
% 191.85/30.09 | | | | | | | | | | | | | | | | | | | all_57_1) = all_57_0 & op(e3, all_57_3) =
% 191.85/30.09 | | | | | | | | | | | | | | | | | | | all_57_2 & op(e3, all_57_5) = all_57_4 & op(e3,
% 191.85/30.09 | | | | | | | | | | | | | | | | | | | all_57_7) = all_57_6 & op(e3, e3) = all_57_1 &
% 191.85/30.09 | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_3 & op(e3, e1) = all_57_5 &
% 191.85/30.09 | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_7 & op(e2, e3) = all_57_9 &
% 191.85/30.09 | | | | | | | | | | | | | | | | | | | op(e2, e2) = e3 & $i(all_57_0) & $i(all_57_1) &
% 191.85/30.09 | | | | | | | | | | | | | | | | | | | $i(all_57_2) & $i(all_57_3) & $i(all_57_4) &
% 191.85/30.09 | | | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 191.85/30.09 | | | | | | | | | | | | | | | | | | | $i(all_57_9))
% 191.85/30.09 | | | | | | | | | | | | | | | | | | |
% 191.85/30.09 | | | | | | | | | | | | | | | | | | | BETA: splitting (520) gives:
% 191.85/30.09 | | | | | | | | | | | | | | | | | | |
% 191.85/30.09 | | | | | | | | | | | | | | | | | | | Case 1:
% 191.85/30.09 | | | | | | | | | | | | | | | | | | | |
% 191.85/30.09 | | | | | | | | | | | | | | | | | | | | (521) (all_57_1 = e2 & ~ (all_57_3 = e3) & ~ (all_57_8
% 191.85/30.09 | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_10 = e2) & ~ (all_57_12 =
% 191.85/30.09 | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_14 = e0) & op(e3, e3) = e2 &
% 191.85/30.09 | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_3 & op(e2, all_57_9) =
% 191.85/30.09 | | | | | | | | | | | | | | | | | | | | all_57_8 & op(e2, all_57_11) = all_57_10 &
% 191.85/30.09 | | | | | | | | | | | | | | | | | | | | op(e2, all_57_13) = all_57_12 & op(e2,
% 191.85/30.09 | | | | | | | | | | | | | | | | | | | | all_57_15) = all_57_14 & op(e2, e3) = all_57_9
% 191.85/30.09 | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = all_57_11 & op(e2, e1) =
% 191.85/30.09 | | | | | | | | | | | | | | | | | | | | all_57_13 & op(e2, e0) = all_57_15 &
% 191.85/30.09 | | | | | | | | | | | | | | | | | | | | $i(all_57_3) & $i(all_57_8) & $i(all_57_9) &
% 191.85/30.09 | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & $i(all_57_11) & $i(all_57_12) &
% 191.85/30.09 | | | | | | | | | | | | | | | | | | | | $i(all_57_13) & $i(all_57_14) & $i(all_57_15)) |
% 191.85/30.09 | | | | | | | | | | | | | | | | | | | | (all_57_1 = e1 & ~ (all_57_5 = e3) & ~
% 191.85/30.09 | | | | | | | | | | | | | | | | | | | | (all_57_16 = e3) & ~ (all_57_18 = e2) & ~
% 191.85/30.09 | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_22 = e0) & op(e3,
% 191.85/30.09 | | | | | | | | | | | | | | | | | | | | e3) = e1 & op(e3, e1) = all_57_5 & op(e1,
% 191.85/30.09 | | | | | | | | | | | | | | | | | | | | all_57_17) = all_57_16 & op(e1, all_57_19) =
% 191.85/30.09 | | | | | | | | | | | | | | | | | | | | all_57_18 & op(e1, all_57_21) = all_57_20 &
% 191.85/30.09 | | | | | | | | | | | | | | | | | | | | op(e1, all_57_23) = all_57_22 & op(e1, e3) =
% 191.85/30.09 | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e1, e2) = all_57_19 & op(e1, e1)
% 191.85/30.09 | | | | | | | | | | | | | | | | | | | | = all_57_21 & op(e1, e0) = all_57_23 &
% 191.85/30.09 | | | | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_16) & $i(all_57_17) &
% 191.85/30.09 | | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_19) & $i(all_57_20) &
% 191.85/30.09 | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_22) & $i(all_57_23))
% 191.85/30.09 | | | | | | | | | | | | | | | | | | | |
% 191.85/30.09 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (9), (36), (45), (51), (158), (162), (170),
% 191.85/30.09 | | | | | | | | | | | | | | | | | | | | (227), (239), (335), (372), (375), (376), (390),
% 191.85/30.09 | | | | | | | | | | | | | | | | | | | | (391), (392), (396), (398), (516), (519), (521),
% 191.85/30.09 | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 191.85/30.09 | | | | | | | | | | | | | | | | | | | | #1947.
% 191.85/30.09 | | | | | | | | | | | | | | | | | | | |
% 191.85/30.09 | | | | | | | | | | | | | | | | | | | Case 2:
% 191.85/30.09 | | | | | | | | | | | | | | | | | | | |
% 191.85/30.09 | | | | | | | | | | | | | | | | | | | | (522) (all_57_1 = e0 & ~ (all_57_7 = e3) & ~
% 191.85/30.09 | | | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 191.85/30.09 | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) & op(e3,
% 191.85/30.09 | | | | | | | | | | | | | | | | | | | | e3) = e0 & op(e3, e0) = all_57_7 & op(e0,
% 191.85/30.09 | | | | | | | | | | | | | | | | | | | | all_57_25) = all_57_24 & op(e0, all_57_27) =
% 191.85/30.09 | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e0, all_57_29) = all_57_28 &
% 191.85/30.09 | | | | | | | | | | | | | | | | | | | | op(e0, all_57_31) = all_57_30 & op(e0, e3) =
% 191.85/30.09 | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_27 & op(e0, e1)
% 191.85/30.09 | | | | | | | | | | | | | | | | | | | | = all_57_29 & op(e0, e0) = all_57_31 &
% 191.85/30.09 | | | | | | | | | | | | | | | | | | | | $i(all_57_7) & $i(all_57_24) & $i(all_57_25) &
% 191.85/30.09 | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_27) & $i(all_57_28) &
% 191.85/30.09 | | | | | | | | | | | | | | | | | | | | $i(all_57_29) & $i(all_57_30) & $i(all_57_31)) |
% 191.85/30.09 | | | | | | | | | | | | | | | | | | | | (all_57_11 = e3 & ~ (all_57_0 = e3) & ~
% 191.85/30.09 | | | | | | | | | | | | | | | | | | | | (all_57_2 = e2) & ~ (all_57_4 = e1) & ~
% 191.85/30.09 | | | | | | | | | | | | | | | | | | | | (all_57_6 = e0) & ~ (all_57_9 = e2) & op(e3,
% 191.85/30.09 | | | | | | | | | | | | | | | | | | | | all_57_1) = all_57_0 & op(e3, all_57_3) =
% 191.85/30.09 | | | | | | | | | | | | | | | | | | | | all_57_2 & op(e3, all_57_5) = all_57_4 & op(e3,
% 191.85/30.09 | | | | | | | | | | | | | | | | | | | | all_57_7) = all_57_6 & op(e3, e3) = all_57_1 &
% 191.85/30.09 | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_3 & op(e3, e1) = all_57_5 &
% 191.85/30.09 | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_7 & op(e2, e3) = all_57_9 &
% 191.85/30.09 | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e3 & $i(all_57_0) & $i(all_57_1) &
% 191.85/30.09 | | | | | | | | | | | | | | | | | | | | $i(all_57_2) & $i(all_57_3) & $i(all_57_4) &
% 191.85/30.09 | | | | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 191.85/30.09 | | | | | | | | | | | | | | | | | | | | $i(all_57_9))
% 191.85/30.09 | | | | | | | | | | | | | | | | | | | |
% 191.85/30.09 | | | | | | | | | | | | | | | | | | | | BETA: splitting (522) gives:
% 191.85/30.09 | | | | | | | | | | | | | | | | | | | |
% 191.85/30.09 | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.85/30.09 | | | | | | | | | | | | | | | | | | | | |
% 191.85/30.09 | | | | | | | | | | | | | | | | | | | | | (523) all_57_1 = e0 & ~ (all_57_7 = e3) & ~ (all_57_24
% 191.85/30.09 | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_26 = e2) & ~ (all_57_28 =
% 191.85/30.09 | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_30 = e0) & op(e3, e3) = e0 &
% 191.85/30.09 | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_7 & op(e0, all_57_25) =
% 191.85/30.09 | | | | | | | | | | | | | | | | | | | | | all_57_24 & op(e0, all_57_27) = all_57_26 & op(e0,
% 191.85/30.09 | | | | | | | | | | | | | | | | | | | | | all_57_29) = all_57_28 & op(e0, all_57_31) =
% 191.85/30.09 | | | | | | | | | | | | | | | | | | | | | all_57_30 & op(e0, e3) = all_57_25 & op(e0, e2) =
% 191.85/30.09 | | | | | | | | | | | | | | | | | | | | | all_57_27 & op(e0, e1) = all_57_29 & op(e0, e0) =
% 191.85/30.09 | | | | | | | | | | | | | | | | | | | | | all_57_31 & $i(all_57_7) & $i(all_57_24) &
% 191.85/30.09 | | | | | | | | | | | | | | | | | | | | | $i(all_57_25) & $i(all_57_26) & $i(all_57_27) &
% 191.85/30.09 | | | | | | | | | | | | | | | | | | | | | $i(all_57_28) & $i(all_57_29) & $i(all_57_30) &
% 191.85/30.09 | | | | | | | | | | | | | | | | | | | | | $i(all_57_31)
% 191.85/30.09 | | | | | | | | | | | | | | | | | | | | |
% 191.85/30.09 | | | | | | | | | | | | | | | | | | | | | ALPHA: (523) implies:
% 191.85/30.09 | | | | | | | | | | | | | | | | | | | | | (524) all_57_1 = e0
% 191.85/30.09 | | | | | | | | | | | | | | | | | | | | | (525) ~ (all_57_7 = e3)
% 191.85/30.09 | | | | | | | | | | | | | | | | | | | | | (526) op(e0, e3) = all_57_25
% 191.85/30.09 | | | | | | | | | | | | | | | | | | | | | (527) op(e3, e0) = all_57_7
% 191.85/30.09 | | | | | | | | | | | | | | | | | | | | |
% 191.85/30.09 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (238) gives:
% 191.85/30.09 | | | | | | | | | | | | | | | | | | | | |
% 191.85/30.09 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.85/30.09 | | | | | | | | | | | | | | | | | | | | | |
% 191.85/30.10 | | | | | | | | | | | | | | | | | | | | | | (528) (all_57_3 = e3 & ~ (all_57_1 = e2) & ~ (all_57_8
% 191.85/30.10 | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_10 = e2) & ~ (all_57_12 =
% 191.85/30.10 | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_14 = e0) & op(e3, e3) =
% 191.85/30.10 | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e2) = e3 & op(e2, all_57_9) =
% 191.85/30.10 | | | | | | | | | | | | | | | | | | | | | | all_57_8 & op(e2, all_57_11) = all_57_10 &
% 191.85/30.10 | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_13) = all_57_12 & op(e2,
% 191.85/30.10 | | | | | | | | | | | | | | | | | | | | | | all_57_15) = all_57_14 & op(e2, e3) = all_57_9
% 191.85/30.10 | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = all_57_11 & op(e2, e1) =
% 191.85/30.10 | | | | | | | | | | | | | | | | | | | | | | all_57_13 & op(e2, e0) = all_57_15 &
% 191.85/30.10 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_8) & $i(all_57_9) &
% 191.85/30.10 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & $i(all_57_11) & $i(all_57_12) &
% 191.85/30.10 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13) & $i(all_57_14) & $i(all_57_15)) |
% 191.85/30.10 | | | | | | | | | | | | | | | | | | | | | | (all_57_5 = e3 & ~ (all_57_1 = e1) & ~
% 191.85/30.10 | | | | | | | | | | | | | | | | | | | | | | (all_57_16 = e3) & ~ (all_57_18 = e2) & ~
% 191.85/30.10 | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_22 = e0) & op(e3,
% 191.85/30.10 | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_1 & op(e3, e1) = e3 & op(e1,
% 191.85/30.10 | | | | | | | | | | | | | | | | | | | | | | all_57_17) = all_57_16 & op(e1, all_57_19) =
% 191.85/30.10 | | | | | | | | | | | | | | | | | | | | | | all_57_18 & op(e1, all_57_21) = all_57_20 &
% 191.85/30.10 | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_23) = all_57_22 & op(e1, e3) =
% 191.85/30.10 | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e1, e2) = all_57_19 & op(e1, e1)
% 191.85/30.10 | | | | | | | | | | | | | | | | | | | | | | = all_57_21 & op(e1, e0) = all_57_23 &
% 191.85/30.10 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_16) & $i(all_57_17) &
% 191.85/30.10 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_19) & $i(all_57_20) &
% 191.85/30.10 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_22) & $i(all_57_23)) |
% 191.85/30.10 | | | | | | | | | | | | | | | | | | | | | | (all_57_7 = e3 & ~ (all_57_1 = e0) & ~
% 191.85/30.10 | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 191.85/30.10 | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) & op(e3,
% 191.85/30.10 | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_1 & op(e3, e0) = e3 & op(e0,
% 191.85/30.10 | | | | | | | | | | | | | | | | | | | | | | all_57_25) = all_57_24 & op(e0, all_57_27) =
% 191.85/30.10 | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e0, all_57_29) = all_57_28 &
% 191.85/30.10 | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_31) = all_57_30 & op(e0, e3) =
% 191.85/30.10 | | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_27 & op(e0, e1)
% 191.85/30.10 | | | | | | | | | | | | | | | | | | | | | | = all_57_29 & op(e0, e0) = all_57_31 &
% 191.85/30.10 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_24) & $i(all_57_25) &
% 191.85/30.10 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_27) & $i(all_57_28) &
% 191.85/30.10 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29) & $i(all_57_30) & $i(all_57_31)) |
% 191.85/30.10 | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e2 & ~ (all_57_0 = e3) & ~ (all_57_2
% 191.85/30.10 | | | | | | | | | | | | | | | | | | | | | | = e2) & ~ (all_57_4 = e1) & ~ (all_57_6 =
% 191.85/30.10 | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_11 = e3) & op(e3, all_57_1) =
% 191.85/30.10 | | | | | | | | | | | | | | | | | | | | | | all_57_0 & op(e3, all_57_3) = all_57_2 & op(e3,
% 191.85/30.10 | | | | | | | | | | | | | | | | | | | | | | all_57_5) = all_57_4 & op(e3, all_57_7) =
% 191.85/30.10 | | | | | | | | | | | | | | | | | | | | | | all_57_6 & op(e3, e3) = all_57_1 & op(e3, e2) =
% 191.85/30.10 | | | | | | | | | | | | | | | | | | | | | | all_57_3 & op(e3, e1) = all_57_5 & op(e3, e0) =
% 191.85/30.10 | | | | | | | | | | | | | | | | | | | | | | all_57_7 & op(e2, e3) = e2 & op(e2, e2) =
% 191.85/30.10 | | | | | | | | | | | | | | | | | | | | | | all_57_11 & $i(all_57_0) & $i(all_57_1) &
% 191.85/30.10 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_2) & $i(all_57_3) & $i(all_57_4) &
% 191.85/30.10 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 191.85/30.10 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11))
% 191.85/30.10 | | | | | | | | | | | | | | | | | | | | | |
% 191.85/30.10 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (528) gives:
% 191.85/30.10 | | | | | | | | | | | | | | | | | | | | | |
% 191.85/30.10 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.85/30.10 | | | | | | | | | | | | | | | | | | | | | | |
% 191.85/30.10 | | | | | | | | | | | | | | | | | | | | | | | (529) (all_57_3 = e3 & ~ (all_57_1 = e2) & ~ (all_57_8
% 191.85/30.10 | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_10 = e2) & ~ (all_57_12 =
% 191.85/30.10 | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_14 = e0) & op(e3, e3) =
% 191.85/30.10 | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e2) = e3 & op(e2, all_57_9) =
% 191.85/30.10 | | | | | | | | | | | | | | | | | | | | | | | all_57_8 & op(e2, all_57_11) = all_57_10 &
% 191.85/30.10 | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_13) = all_57_12 & op(e2,
% 191.85/30.10 | | | | | | | | | | | | | | | | | | | | | | | all_57_15) = all_57_14 & op(e2, e3) = all_57_9
% 191.85/30.10 | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = all_57_11 & op(e2, e1) =
% 191.85/30.10 | | | | | | | | | | | | | | | | | | | | | | | all_57_13 & op(e2, e0) = all_57_15 &
% 191.85/30.10 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_8) & $i(all_57_9) &
% 191.85/30.10 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & $i(all_57_11) & $i(all_57_12) &
% 191.85/30.10 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13) & $i(all_57_14) & $i(all_57_15)) |
% 191.85/30.10 | | | | | | | | | | | | | | | | | | | | | | | (all_57_5 = e3 & ~ (all_57_1 = e1) & ~
% 191.85/30.10 | | | | | | | | | | | | | | | | | | | | | | | (all_57_16 = e3) & ~ (all_57_18 = e2) & ~
% 191.85/30.10 | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_22 = e0) & op(e3,
% 191.85/30.10 | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_1 & op(e3, e1) = e3 & op(e1,
% 191.85/30.10 | | | | | | | | | | | | | | | | | | | | | | | all_57_17) = all_57_16 & op(e1, all_57_19) =
% 191.85/30.10 | | | | | | | | | | | | | | | | | | | | | | | all_57_18 & op(e1, all_57_21) = all_57_20 &
% 191.85/30.10 | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_23) = all_57_22 & op(e1, e3) =
% 191.85/30.10 | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e1, e2) = all_57_19 & op(e1, e1)
% 191.85/30.10 | | | | | | | | | | | | | | | | | | | | | | | = all_57_21 & op(e1, e0) = all_57_23 &
% 191.85/30.10 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_16) & $i(all_57_17) &
% 191.85/30.10 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_19) & $i(all_57_20) &
% 191.85/30.10 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_22) & $i(all_57_23))
% 191.85/30.10 | | | | | | | | | | | | | | | | | | | | | | |
% 191.85/30.10 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (529) gives:
% 191.85/30.10 | | | | | | | | | | | | | | | | | | | | | | |
% 191.85/30.10 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.85/30.10 | | | | | | | | | | | | | | | | | | | | | | | |
% 191.85/30.10 | | | | | | | | | | | | | | | | | | | | | | | | (530) all_57_3 = e3 & ~ (all_57_1 = e2) & ~ (all_57_8
% 191.85/30.10 | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_10 = e2) & ~ (all_57_12 =
% 191.85/30.10 | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_14 = e0) & op(e3, e3) =
% 191.85/30.10 | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e2) = e3 & op(e2, all_57_9) =
% 191.85/30.10 | | | | | | | | | | | | | | | | | | | | | | | | all_57_8 & op(e2, all_57_11) = all_57_10 & op(e2,
% 191.85/30.10 | | | | | | | | | | | | | | | | | | | | | | | | all_57_13) = all_57_12 & op(e2, all_57_15) =
% 191.85/30.10 | | | | | | | | | | | | | | | | | | | | | | | | all_57_14 & op(e2, e3) = all_57_9 & op(e2, e2) =
% 191.85/30.10 | | | | | | | | | | | | | | | | | | | | | | | | all_57_11 & op(e2, e1) = all_57_13 & op(e2, e0) =
% 191.85/30.10 | | | | | | | | | | | | | | | | | | | | | | | | all_57_15 & $i(all_57_1) & $i(all_57_8) &
% 191.85/30.10 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9) & $i(all_57_10) & $i(all_57_11) &
% 191.85/30.10 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & $i(all_57_13) & $i(all_57_14) &
% 191.85/30.10 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15)
% 191.85/30.10 | | | | | | | | | | | | | | | | | | | | | | | |
% 191.85/30.10 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (530) implies:
% 191.85/30.10 | | | | | | | | | | | | | | | | | | | | | | | | (531) ~ (all_57_10 = e2)
% 191.85/30.10 | | | | | | | | | | | | | | | | | | | | | | | | (532) op(e2, e2) = all_57_11
% 191.85/30.10 | | | | | | | | | | | | | | | | | | | | | | | | (533) op(e2, all_57_11) = all_57_10
% 191.85/30.10 | | | | | | | | | | | | | | | | | | | | | | | |
% 191.85/30.10 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (158), (162), (170), (227), (390), (391), (392),
% 191.85/30.10 | | | | | | | | | | | | | | | | | | | | | | | | (531), (532), (533), (function-axioms) are
% 191.85/30.10 | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1967.
% 191.85/30.10 | | | | | | | | | | | | | | | | | | | | | | | |
% 191.85/30.10 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.85/30.10 | | | | | | | | | | | | | | | | | | | | | | | |
% 191.85/30.10 | | | | | | | | | | | | | | | | | | | | | | | | (534) all_57_5 = e3 & ~ (all_57_1 = e1) & ~ (all_57_16
% 191.85/30.10 | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_18 = e2) & ~ (all_57_20 =
% 191.85/30.10 | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_22 = e0) & op(e3, e3) =
% 191.85/30.10 | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e1) = e3 & op(e1, all_57_17) =
% 191.85/30.10 | | | | | | | | | | | | | | | | | | | | | | | | all_57_16 & op(e1, all_57_19) = all_57_18 & op(e1,
% 191.85/30.10 | | | | | | | | | | | | | | | | | | | | | | | | all_57_21) = all_57_20 & op(e1, all_57_23) =
% 191.85/30.10 | | | | | | | | | | | | | | | | | | | | | | | | all_57_22 & op(e1, e3) = all_57_17 & op(e1, e2) =
% 191.85/30.10 | | | | | | | | | | | | | | | | | | | | | | | | all_57_19 & op(e1, e1) = all_57_21 & op(e1, e0) =
% 191.85/30.10 | | | | | | | | | | | | | | | | | | | | | | | | all_57_23 & $i(all_57_1) & $i(all_57_16) &
% 191.85/30.10 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_17) & $i(all_57_18) & $i(all_57_19) &
% 191.85/30.10 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_20) & $i(all_57_21) & $i(all_57_22) &
% 191.85/30.10 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23)
% 191.85/30.10 | | | | | | | | | | | | | | | | | | | | | | | |
% 191.85/30.10 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (534) implies:
% 191.85/30.10 | | | | | | | | | | | | | | | | | | | | | | | | (535) ~ (all_57_20 = e1)
% 191.85/30.10 | | | | | | | | | | | | | | | | | | | | | | | | (536) op(e1, e1) = all_57_21
% 191.85/30.10 | | | | | | | | | | | | | | | | | | | | | | | | (537) op(e1, all_57_21) = all_57_20
% 191.85/30.10 | | | | | | | | | | | | | | | | | | | | | | | |
% 191.85/30.10 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (519) gives:
% 191.85/30.10 | | | | | | | | | | | | | | | | | | | | | | | |
% 191.85/30.10 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.85/30.10 | | | | | | | | | | | | | | | | | | | | | | | | |
% 191.85/30.10 | | | | | | | | | | | | | | | | | | | | | | | | | (538) all_54_10 = e2
% 191.85/30.10 | | | | | | | | | | | | | | | | | | | | | | | | |
% 191.85/30.10 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (335), (375), (538) are inconsistent by sub-proof
% 191.85/30.10 | | | | | | | | | | | | | | | | | | | | | | | | | #1973.
% 191.85/30.10 | | | | | | | | | | | | | | | | | | | | | | | | |
% 191.85/30.10 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.85/30.10 | | | | | | | | | | | | | | | | | | | | | | | | |
% 191.85/30.10 | | | | | | | | | | | | | | | | | | | | | | | | | (539) all_54_10 = e1 | all_54_10 = e0
% 191.85/30.10 | | | | | | | | | | | | | | | | | | | | | | | | |
% 191.85/30.10 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (335), (372), (535), (536), (537), (539),
% 191.85/30.10 | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 191.85/30.10 | | | | | | | | | | | | | | | | | | | | | | | | | #1885.
% 191.85/30.10 | | | | | | | | | | | | | | | | | | | | | | | | |
% 191.85/30.10 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 191.85/30.10 | | | | | | | | | | | | | | | | | | | | | | | |
% 191.85/30.10 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 191.85/30.10 | | | | | | | | | | | | | | | | | | | | | | |
% 191.85/30.10 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.85/30.10 | | | | | | | | | | | | | | | | | | | | | | |
% 191.85/30.10 | | | | | | | | | | | | | | | | | | | | | | | (540) (all_57_7 = e3 & ~ (all_57_1 = e0) & ~
% 191.85/30.10 | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 191.85/30.10 | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) & op(e3,
% 191.85/30.10 | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_1 & op(e3, e0) = e3 & op(e0,
% 191.85/30.10 | | | | | | | | | | | | | | | | | | | | | | | all_57_25) = all_57_24 & op(e0, all_57_27) =
% 191.85/30.10 | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e0, all_57_29) = all_57_28 &
% 191.85/30.10 | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_31) = all_57_30 & op(e0, e3) =
% 191.85/30.10 | | | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_27 & op(e0, e1)
% 191.85/30.10 | | | | | | | | | | | | | | | | | | | | | | | = all_57_29 & op(e0, e0) = all_57_31 &
% 191.85/30.10 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_24) & $i(all_57_25) &
% 191.85/30.10 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_27) & $i(all_57_28) &
% 191.85/30.10 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29) & $i(all_57_30) & $i(all_57_31)) |
% 191.85/30.10 | | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e2 & ~ (all_57_0 = e3) & ~ (all_57_2
% 191.85/30.10 | | | | | | | | | | | | | | | | | | | | | | | = e2) & ~ (all_57_4 = e1) & ~ (all_57_6 =
% 191.85/30.10 | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_11 = e3) & op(e3, all_57_1) =
% 191.85/30.10 | | | | | | | | | | | | | | | | | | | | | | | all_57_0 & op(e3, all_57_3) = all_57_2 & op(e3,
% 191.85/30.10 | | | | | | | | | | | | | | | | | | | | | | | all_57_5) = all_57_4 & op(e3, all_57_7) =
% 191.85/30.10 | | | | | | | | | | | | | | | | | | | | | | | all_57_6 & op(e3, e3) = all_57_1 & op(e3, e2) =
% 191.85/30.10 | | | | | | | | | | | | | | | | | | | | | | | all_57_3 & op(e3, e1) = all_57_5 & op(e3, e0) =
% 191.85/30.10 | | | | | | | | | | | | | | | | | | | | | | | all_57_7 & op(e2, e3) = e2 & op(e2, e2) =
% 191.85/30.10 | | | | | | | | | | | | | | | | | | | | | | | all_57_11 & $i(all_57_0) & $i(all_57_1) &
% 191.85/30.10 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_2) & $i(all_57_3) & $i(all_57_4) &
% 191.85/30.10 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 191.85/30.10 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11))
% 191.85/30.10 | | | | | | | | | | | | | | | | | | | | | | |
% 191.85/30.10 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (167), (389), (525), (527), (540),
% 191.85/30.10 | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 191.85/30.10 | | | | | | | | | | | | | | | | | | | | | | | #1943.
% 191.85/30.10 | | | | | | | | | | | | | | | | | | | | | | |
% 191.85/30.10 | | | | | | | | | | | | | | | | | | | | | | End of split
% 191.85/30.10 | | | | | | | | | | | | | | | | | | | | | |
% 191.85/30.10 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.85/30.10 | | | | | | | | | | | | | | | | | | | | | |
% 191.85/30.11 | | | | | | | | | | | | | | | | | | | | | | (541) (all_57_13 = e2 & ~ (all_57_11 = e1) & ~
% 191.85/30.11 | | | | | | | | | | | | | | | | | | | | | | (all_57_16 = e3) & ~ (all_57_18 = e2) & ~
% 191.85/30.11 | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_22 = e0) & op(e2,
% 191.85/30.11 | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_11 & op(e2, e1) = e2 & op(e1,
% 191.85/30.11 | | | | | | | | | | | | | | | | | | | | | | all_57_17) = all_57_16 & op(e1, all_57_19) =
% 191.85/30.11 | | | | | | | | | | | | | | | | | | | | | | all_57_18 & op(e1, all_57_21) = all_57_20 &
% 191.85/30.11 | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_23) = all_57_22 & op(e1, e3) =
% 191.85/30.11 | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e1, e2) = all_57_19 & op(e1, e1)
% 191.85/30.11 | | | | | | | | | | | | | | | | | | | | | | = all_57_21 & op(e1, e0) = all_57_23 &
% 191.85/30.11 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_16) & $i(all_57_17) &
% 191.85/30.11 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_19) & $i(all_57_20) &
% 191.85/30.11 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_22) & $i(all_57_23)) |
% 191.85/30.11 | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e2 & ~ (all_57_11 = e0) & ~
% 191.85/30.11 | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 191.85/30.11 | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) & op(e2,
% 191.85/30.11 | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_11 & op(e2, e0) = e2 & op(e0,
% 191.85/30.11 | | | | | | | | | | | | | | | | | | | | | | all_57_25) = all_57_24 & op(e0, all_57_27) =
% 191.85/30.11 | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e0, all_57_29) = all_57_28 &
% 191.85/30.11 | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_31) = all_57_30 & op(e0, e3) =
% 191.85/30.11 | | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_27 & op(e0, e1)
% 191.85/30.11 | | | | | | | | | | | | | | | | | | | | | | = all_57_29 & op(e0, e0) = all_57_31 &
% 191.85/30.11 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_24) & $i(all_57_25) &
% 191.85/30.11 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_27) & $i(all_57_28) &
% 191.85/30.11 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29) & $i(all_57_30) & $i(all_57_31)) |
% 191.85/30.11 | | | | | | | | | | | | | | | | | | | | | | (all_57_17 = e1 & ~ (all_57_0 = e3) & ~
% 191.85/30.11 | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e2) & ~ (all_57_4 = e1) & ~
% 191.85/30.11 | | | | | | | | | | | | | | | | | | | | | | (all_57_6 = e0) & ~ (all_57_21 = e3) & op(e3,
% 191.85/30.11 | | | | | | | | | | | | | | | | | | | | | | all_57_1) = all_57_0 & op(e3, all_57_3) =
% 191.85/30.11 | | | | | | | | | | | | | | | | | | | | | | all_57_2 & op(e3, all_57_5) = all_57_4 & op(e3,
% 191.85/30.11 | | | | | | | | | | | | | | | | | | | | | | all_57_7) = all_57_6 & op(e3, e3) = all_57_1 &
% 191.85/30.11 | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_3 & op(e3, e1) = all_57_5 &
% 191.85/30.11 | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_7 & op(e1, e3) = e1 & op(e1,
% 191.85/30.11 | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_21 & $i(all_57_0) & $i(all_57_1)
% 191.85/30.11 | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_2) & $i(all_57_3) & $i(all_57_4) &
% 191.85/30.11 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 191.85/30.11 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21)) | (all_57_19 = e1 & ~ (all_57_8
% 191.85/30.11 | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_10 = e2) & ~ (all_57_12 =
% 191.85/30.11 | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_14 = e0) & ~ (all_57_21 =
% 191.85/30.11 | | | | | | | | | | | | | | | | | | | | | | e2) & op(e2, all_57_9) = all_57_8 & op(e2,
% 191.85/30.11 | | | | | | | | | | | | | | | | | | | | | | all_57_11) = all_57_10 & op(e2, all_57_13) =
% 191.85/30.11 | | | | | | | | | | | | | | | | | | | | | | all_57_12 & op(e2, all_57_15) = all_57_14 &
% 191.85/30.11 | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_9 & op(e2, e2) = all_57_11 &
% 191.85/30.11 | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_57_13 & op(e2, e0) = all_57_15
% 191.85/30.11 | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e1 & op(e1, e1) = all_57_21 &
% 191.85/30.11 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8) & $i(all_57_9) & $i(all_57_10) &
% 191.85/30.11 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_12) & $i(all_57_13) &
% 191.85/30.11 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & $i(all_57_15) & $i(all_57_21)) |
% 191.85/30.11 | | | | | | | | | | | | | | | | | | | | | | (op(e0, e0) = all_57_31 & $i(all_57_31) &
% 191.85/30.11 | | | | | | | | | | | | | | | | | | | | | | ((all_57_23 = e1 & ~ (all_57_21 = e0) & ~
% 191.85/30.11 | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 191.85/30.11 | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) &
% 191.85/30.11 | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_21 & op(e1, e0) = e1 &
% 191.85/30.11 | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_25) = all_57_24 & op(e0,
% 191.85/30.11 | | | | | | | | | | | | | | | | | | | | | | all_57_27) = all_57_26 & op(e0, all_57_29)
% 191.85/30.11 | | | | | | | | | | | | | | | | | | | | | | = all_57_28 & op(e0, all_57_31) = all_57_30
% 191.85/30.11 | | | | | | | | | | | | | | | | | | | | | | & op(e0, e3) = all_57_25 & op(e0, e2) =
% 191.85/30.11 | | | | | | | | | | | | | | | | | | | | | | all_57_27 & op(e0, e1) = all_57_29 &
% 191.85/30.11 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_24) &
% 191.85/30.11 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_25) & $i(all_57_26) &
% 191.85/30.11 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27) & $i(all_57_28) &
% 191.85/30.11 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29) & $i(all_57_30)) | (all_57_25
% 191.85/30.11 | | | | | | | | | | | | | | | | | | | | | | = e0 & ~ (all_57_0 = e3) & ~ (all_57_2 =
% 191.85/30.11 | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_4 = e1) & ~ (all_57_6 =
% 191.85/30.11 | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_31 = e3) & op(e3,
% 191.85/30.11 | | | | | | | | | | | | | | | | | | | | | | all_57_1) = all_57_0 & op(e3, all_57_3) =
% 191.85/30.11 | | | | | | | | | | | | | | | | | | | | | | all_57_2 & op(e3, all_57_5) = all_57_4 &
% 191.85/30.11 | | | | | | | | | | | | | | | | | | | | | | op(e3, all_57_7) = all_57_6 & op(e3, e3) =
% 191.85/30.11 | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e2) = all_57_3 & op(e3,
% 191.85/30.11 | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_5 & op(e3, e0) = all_57_7 &
% 191.85/30.11 | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_0) &
% 191.85/30.11 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_2) & $i(all_57_3) &
% 191.85/30.11 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4) & $i(all_57_5) & $i(all_57_6) &
% 191.85/30.11 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7)) | (all_57_27 = e0 & ~
% 191.85/30.11 | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e3) & ~ (all_57_10 = e2) & ~
% 191.85/30.11 | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e1) & ~ (all_57_14 = e0) & ~
% 191.85/30.11 | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e2) & op(e2, all_57_9) =
% 191.85/30.11 | | | | | | | | | | | | | | | | | | | | | | all_57_8 & op(e2, all_57_11) = all_57_10 &
% 191.85/30.11 | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_13) = all_57_12 & op(e2,
% 191.85/30.11 | | | | | | | | | | | | | | | | | | | | | | all_57_15) = all_57_14 & op(e2, e3) =
% 191.85/30.11 | | | | | | | | | | | | | | | | | | | | | | all_57_9 & op(e2, e2) = all_57_11 & op(e2,
% 191.85/30.11 | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_13 & op(e2, e0) = all_57_15 &
% 191.85/30.11 | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_8) &
% 191.85/30.11 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9) & $i(all_57_10) & $i(all_57_11)
% 191.85/30.11 | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_12) & $i(all_57_13) &
% 191.85/30.11 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & $i(all_57_15)) | (all_57_29
% 191.85/30.11 | | | | | | | | | | | | | | | | | | | | | | = e0 & ~ (all_57_16 = e3) & ~ (all_57_18 =
% 191.85/30.11 | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_20 = e1) & ~ (all_57_22
% 191.85/30.11 | | | | | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_31 = e1) & op(e1,
% 191.85/30.11 | | | | | | | | | | | | | | | | | | | | | | all_57_17) = all_57_16 & op(e1, all_57_19)
% 191.85/30.11 | | | | | | | | | | | | | | | | | | | | | | = all_57_18 & op(e1, all_57_21) = all_57_20
% 191.85/30.11 | | | | | | | | | | | | | | | | | | | | | | & op(e1, all_57_23) = all_57_22 & op(e1, e3)
% 191.85/30.11 | | | | | | | | | | | | | | | | | | | | | | = all_57_17 & op(e1, e2) = all_57_19 &
% 191.85/30.11 | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_21 & op(e1, e0) =
% 191.85/30.11 | | | | | | | | | | | | | | | | | | | | | | all_57_23 & op(e0, e1) = e0 & $i(all_57_16)
% 191.85/30.11 | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_17) & $i(all_57_18) &
% 191.85/30.11 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_20) &
% 191.85/30.11 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_22) &
% 191.85/30.11 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23))))
% 191.85/30.11 | | | | | | | | | | | | | | | | | | | | | |
% 191.85/30.11 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (541) gives:
% 191.85/30.11 | | | | | | | | | | | | | | | | | | | | | |
% 191.85/30.11 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.85/30.11 | | | | | | | | | | | | | | | | | | | | | | |
% 191.85/30.11 | | | | | | | | | | | | | | | | | | | | | | | (542) (all_57_13 = e2 & ~ (all_57_11 = e1) & ~
% 191.85/30.11 | | | | | | | | | | | | | | | | | | | | | | | (all_57_16 = e3) & ~ (all_57_18 = e2) & ~
% 191.85/30.11 | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_22 = e0) & op(e2,
% 191.85/30.11 | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_11 & op(e2, e1) = e2 & op(e1,
% 191.85/30.11 | | | | | | | | | | | | | | | | | | | | | | | all_57_17) = all_57_16 & op(e1, all_57_19) =
% 191.85/30.11 | | | | | | | | | | | | | | | | | | | | | | | all_57_18 & op(e1, all_57_21) = all_57_20 &
% 191.85/30.11 | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_23) = all_57_22 & op(e1, e3) =
% 191.85/30.11 | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e1, e2) = all_57_19 & op(e1, e1)
% 191.85/30.11 | | | | | | | | | | | | | | | | | | | | | | | = all_57_21 & op(e1, e0) = all_57_23 &
% 191.85/30.11 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_16) & $i(all_57_17) &
% 191.85/30.11 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_19) & $i(all_57_20) &
% 191.85/30.11 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_22) & $i(all_57_23)) |
% 191.85/30.11 | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e2 & ~ (all_57_11 = e0) & ~
% 191.85/30.11 | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 191.85/30.11 | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) & op(e2,
% 191.85/30.11 | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_11 & op(e2, e0) = e2 & op(e0,
% 191.85/30.11 | | | | | | | | | | | | | | | | | | | | | | | all_57_25) = all_57_24 & op(e0, all_57_27) =
% 191.85/30.11 | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e0, all_57_29) = all_57_28 &
% 191.85/30.11 | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_31) = all_57_30 & op(e0, e3) =
% 191.85/30.11 | | | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_27 & op(e0, e1)
% 191.85/30.11 | | | | | | | | | | | | | | | | | | | | | | | = all_57_29 & op(e0, e0) = all_57_31 &
% 191.85/30.11 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_24) & $i(all_57_25) &
% 191.85/30.11 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_27) & $i(all_57_28) &
% 191.85/30.11 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29) & $i(all_57_30) & $i(all_57_31))
% 191.85/30.11 | | | | | | | | | | | | | | | | | | | | | | |
% 191.85/30.11 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (165), (393), (394), (542),
% 191.85/30.11 | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 191.85/30.11 | | | | | | | | | | | | | | | | | | | | | | | #1940.
% 191.85/30.11 | | | | | | | | | | | | | | | | | | | | | | |
% 191.85/30.11 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.85/30.11 | | | | | | | | | | | | | | | | | | | | | | |
% 191.85/30.12 | | | | | | | | | | | | | | | | | | | | | | | (543) (all_57_17 = e1 & ~ (all_57_0 = e3) & ~
% 191.85/30.12 | | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e2) & ~ (all_57_4 = e1) & ~
% 191.85/30.12 | | | | | | | | | | | | | | | | | | | | | | | (all_57_6 = e0) & ~ (all_57_21 = e3) & op(e3,
% 191.85/30.12 | | | | | | | | | | | | | | | | | | | | | | | all_57_1) = all_57_0 & op(e3, all_57_3) =
% 191.85/30.12 | | | | | | | | | | | | | | | | | | | | | | | all_57_2 & op(e3, all_57_5) = all_57_4 & op(e3,
% 191.85/30.12 | | | | | | | | | | | | | | | | | | | | | | | all_57_7) = all_57_6 & op(e3, e3) = all_57_1 &
% 191.85/30.12 | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_3 & op(e3, e1) = all_57_5 &
% 191.85/30.12 | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_7 & op(e1, e3) = e1 & op(e1,
% 191.85/30.12 | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_21 & $i(all_57_0) & $i(all_57_1)
% 191.85/30.12 | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_2) & $i(all_57_3) & $i(all_57_4) &
% 191.85/30.12 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 191.85/30.12 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21)) | (all_57_19 = e1 & ~ (all_57_8
% 191.85/30.12 | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_10 = e2) & ~ (all_57_12 =
% 191.85/30.12 | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_14 = e0) & ~ (all_57_21 =
% 191.85/30.12 | | | | | | | | | | | | | | | | | | | | | | | e2) & op(e2, all_57_9) = all_57_8 & op(e2,
% 191.85/30.12 | | | | | | | | | | | | | | | | | | | | | | | all_57_11) = all_57_10 & op(e2, all_57_13) =
% 191.85/30.12 | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & op(e2, all_57_15) = all_57_14 &
% 191.85/30.12 | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_9 & op(e2, e2) = all_57_11 &
% 191.85/30.12 | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_57_13 & op(e2, e0) = all_57_15
% 191.85/30.12 | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e1 & op(e1, e1) = all_57_21 &
% 191.85/30.12 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8) & $i(all_57_9) & $i(all_57_10) &
% 191.85/30.12 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_12) & $i(all_57_13) &
% 191.85/30.12 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & $i(all_57_15) & $i(all_57_21)) |
% 191.85/30.12 | | | | | | | | | | | | | | | | | | | | | | | (op(e0, e0) = all_57_31 & $i(all_57_31) &
% 191.85/30.12 | | | | | | | | | | | | | | | | | | | | | | | ((all_57_23 = e1 & ~ (all_57_21 = e0) & ~
% 191.85/30.12 | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 191.85/30.12 | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) &
% 191.85/30.12 | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_21 & op(e1, e0) = e1 &
% 191.85/30.12 | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_25) = all_57_24 & op(e0,
% 191.85/30.12 | | | | | | | | | | | | | | | | | | | | | | | all_57_27) = all_57_26 & op(e0, all_57_29)
% 191.85/30.12 | | | | | | | | | | | | | | | | | | | | | | | = all_57_28 & op(e0, all_57_31) = all_57_30
% 191.85/30.12 | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e3) = all_57_25 & op(e0, e2) =
% 191.85/30.12 | | | | | | | | | | | | | | | | | | | | | | | all_57_27 & op(e0, e1) = all_57_29 &
% 191.85/30.12 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_24) &
% 191.85/30.12 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_25) & $i(all_57_26) &
% 191.85/30.12 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27) & $i(all_57_28) &
% 191.85/30.12 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29) & $i(all_57_30)) | (all_57_25
% 191.85/30.12 | | | | | | | | | | | | | | | | | | | | | | | = e0 & ~ (all_57_0 = e3) & ~ (all_57_2 =
% 191.85/30.12 | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_4 = e1) & ~ (all_57_6 =
% 191.85/30.12 | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_31 = e3) & op(e3,
% 191.85/30.12 | | | | | | | | | | | | | | | | | | | | | | | all_57_1) = all_57_0 & op(e3, all_57_3) =
% 191.85/30.12 | | | | | | | | | | | | | | | | | | | | | | | all_57_2 & op(e3, all_57_5) = all_57_4 &
% 191.85/30.12 | | | | | | | | | | | | | | | | | | | | | | | op(e3, all_57_7) = all_57_6 & op(e3, e3) =
% 191.85/30.12 | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e2) = all_57_3 & op(e3,
% 191.85/30.12 | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_5 & op(e3, e0) = all_57_7 &
% 191.85/30.12 | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_0) &
% 191.85/30.12 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_2) & $i(all_57_3) &
% 191.85/30.12 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4) & $i(all_57_5) & $i(all_57_6) &
% 191.85/30.12 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7)) | (all_57_27 = e0 & ~
% 191.85/30.12 | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e3) & ~ (all_57_10 = e2) & ~
% 191.85/30.12 | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e1) & ~ (all_57_14 = e0) & ~
% 191.85/30.12 | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e2) & op(e2, all_57_9) =
% 191.85/30.12 | | | | | | | | | | | | | | | | | | | | | | | all_57_8 & op(e2, all_57_11) = all_57_10 &
% 191.85/30.12 | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_13) = all_57_12 & op(e2,
% 191.85/30.12 | | | | | | | | | | | | | | | | | | | | | | | all_57_15) = all_57_14 & op(e2, e3) =
% 191.85/30.12 | | | | | | | | | | | | | | | | | | | | | | | all_57_9 & op(e2, e2) = all_57_11 & op(e2,
% 191.85/30.12 | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_13 & op(e2, e0) = all_57_15 &
% 191.85/30.12 | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_8) &
% 191.85/30.12 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9) & $i(all_57_10) & $i(all_57_11)
% 191.85/30.12 | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_12) & $i(all_57_13) &
% 191.85/30.12 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & $i(all_57_15)) | (all_57_29
% 191.85/30.12 | | | | | | | | | | | | | | | | | | | | | | | = e0 & ~ (all_57_16 = e3) & ~ (all_57_18 =
% 191.85/30.12 | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_20 = e1) & ~ (all_57_22
% 191.85/30.12 | | | | | | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_31 = e1) & op(e1,
% 191.85/30.12 | | | | | | | | | | | | | | | | | | | | | | | all_57_17) = all_57_16 & op(e1, all_57_19)
% 191.85/30.12 | | | | | | | | | | | | | | | | | | | | | | | = all_57_18 & op(e1, all_57_21) = all_57_20
% 191.85/30.12 | | | | | | | | | | | | | | | | | | | | | | | & op(e1, all_57_23) = all_57_22 & op(e1, e3)
% 191.85/30.12 | | | | | | | | | | | | | | | | | | | | | | | = all_57_17 & op(e1, e2) = all_57_19 &
% 191.85/30.12 | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_21 & op(e1, e0) =
% 191.85/30.12 | | | | | | | | | | | | | | | | | | | | | | | all_57_23 & op(e0, e1) = e0 & $i(all_57_16)
% 191.85/30.12 | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_17) & $i(all_57_18) &
% 191.85/30.12 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_20) &
% 191.85/30.12 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_22) &
% 191.85/30.12 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23))))
% 191.85/30.12 | | | | | | | | | | | | | | | | | | | | | | |
% 191.85/30.12 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (543) gives:
% 191.85/30.12 | | | | | | | | | | | | | | | | | | | | | | |
% 191.85/30.12 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.85/30.12 | | | | | | | | | | | | | | | | | | | | | | | |
% 191.85/30.12 | | | | | | | | | | | | | | | | | | | | | | | | (544) all_57_17 = e1 & ~ (all_57_0 = e3) & ~ (all_57_2
% 191.85/30.12 | | | | | | | | | | | | | | | | | | | | | | | | = e2) & ~ (all_57_4 = e1) & ~ (all_57_6 = e0)
% 191.85/30.12 | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_21 = e3) & op(e3, all_57_1) =
% 191.85/30.12 | | | | | | | | | | | | | | | | | | | | | | | | all_57_0 & op(e3, all_57_3) = all_57_2 & op(e3,
% 191.85/30.12 | | | | | | | | | | | | | | | | | | | | | | | | all_57_5) = all_57_4 & op(e3, all_57_7) =
% 191.85/30.12 | | | | | | | | | | | | | | | | | | | | | | | | all_57_6 & op(e3, e3) = all_57_1 & op(e3, e2) =
% 191.85/30.12 | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 & op(e3, e1) = all_57_5 & op(e3, e0) =
% 191.85/30.12 | | | | | | | | | | | | | | | | | | | | | | | | all_57_7 & op(e1, e3) = e1 & op(e1, e1) =
% 191.85/30.12 | | | | | | | | | | | | | | | | | | | | | | | | all_57_21 & $i(all_57_0) & $i(all_57_1) &
% 191.85/30.12 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_2) & $i(all_57_3) & $i(all_57_4) &
% 191.85/30.12 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 191.85/30.12 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21)
% 191.85/30.12 | | | | | | | | | | | | | | | | | | | | | | | |
% 191.85/30.12 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (544) implies:
% 191.85/30.12 | | | | | | | | | | | | | | | | | | | | | | | | (545) op(e1, e3) = e1
% 191.85/30.12 | | | | | | | | | | | | | | | | | | | | | | | |
% 191.85/30.12 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (497), (545), (function-axioms) are
% 191.85/30.12 | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1884.
% 191.85/30.12 | | | | | | | | | | | | | | | | | | | | | | | |
% 191.85/30.12 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.85/30.12 | | | | | | | | | | | | | | | | | | | | | | | |
% 191.85/30.12 | | | | | | | | | | | | | | | | | | | | | | | | (546) (all_57_19 = e1 & ~ (all_57_8 = e3) & ~
% 191.85/30.12 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e2) & ~ (all_57_12 = e1) & ~
% 191.85/30.12 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e0) & ~ (all_57_21 = e2) & op(e2,
% 191.85/30.12 | | | | | | | | | | | | | | | | | | | | | | | | all_57_9) = all_57_8 & op(e2, all_57_11) =
% 191.85/30.12 | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e2, all_57_13) = all_57_12 &
% 191.85/30.12 | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_15) = all_57_14 & op(e2, e3) =
% 191.85/30.12 | | | | | | | | | | | | | | | | | | | | | | | | all_57_9 & op(e2, e2) = all_57_11 & op(e2, e1) =
% 191.85/30.12 | | | | | | | | | | | | | | | | | | | | | | | | all_57_13 & op(e2, e0) = all_57_15 & op(e1, e2)
% 191.85/30.12 | | | | | | | | | | | | | | | | | | | | | | | | = e1 & op(e1, e1) = all_57_21 & $i(all_57_8) &
% 191.85/30.12 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9) & $i(all_57_10) & $i(all_57_11) &
% 191.85/30.12 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & $i(all_57_13) & $i(all_57_14) &
% 191.85/30.12 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & $i(all_57_21)) | (op(e0, e0) =
% 191.85/30.12 | | | | | | | | | | | | | | | | | | | | | | | | all_57_31 & $i(all_57_31) & ((all_57_23 = e1 &
% 191.85/30.12 | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_21 = e0) & ~ (all_57_24 = e3) &
% 191.85/30.12 | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_26 = e2) & ~ (all_57_28 = e1) &
% 191.85/30.12 | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_30 = e0) & op(e1, e1) = all_57_21
% 191.85/30.12 | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e0) = e1 & op(e0, all_57_25) =
% 191.85/30.12 | | | | | | | | | | | | | | | | | | | | | | | | all_57_24 & op(e0, all_57_27) = all_57_26 &
% 191.85/30.12 | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_29) = all_57_28 & op(e0,
% 191.85/30.12 | | | | | | | | | | | | | | | | | | | | | | | | all_57_31) = all_57_30 & op(e0, e3) =
% 191.85/30.12 | | | | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_27 & op(e0,
% 191.85/30.12 | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_29 & $i(all_57_21) &
% 191.85/30.12 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_24) & $i(all_57_25) &
% 191.85/30.12 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_27) &
% 191.85/30.12 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28) & $i(all_57_29) &
% 191.85/30.12 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_25 = e0 & ~
% 191.85/30.12 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_0 = e3) & ~ (all_57_2 = e2) & ~
% 191.85/30.12 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1) & ~ (all_57_6 = e0) & ~
% 191.85/30.12 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e3) & op(e3, all_57_1) =
% 191.85/30.12 | | | | | | | | | | | | | | | | | | | | | | | | all_57_0 & op(e3, all_57_3) = all_57_2 &
% 191.85/30.12 | | | | | | | | | | | | | | | | | | | | | | | | op(e3, all_57_5) = all_57_4 & op(e3,
% 191.85/30.12 | | | | | | | | | | | | | | | | | | | | | | | | all_57_7) = all_57_6 & op(e3, e3) =
% 191.85/30.12 | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e2) = all_57_3 & op(e3,
% 191.85/30.12 | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_5 & op(e3, e0) = all_57_7 &
% 191.85/30.12 | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_0) &
% 191.85/30.12 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_2) & $i(all_57_3) &
% 191.85/30.12 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4) & $i(all_57_5) & $i(all_57_6) &
% 191.85/30.12 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7)) | (all_57_27 = e0 & ~
% 191.85/30.12 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e3) & ~ (all_57_10 = e2) & ~
% 191.85/30.12 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e1) & ~ (all_57_14 = e0) & ~
% 191.85/30.12 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e2) & op(e2, all_57_9) =
% 191.85/30.12 | | | | | | | | | | | | | | | | | | | | | | | | all_57_8 & op(e2, all_57_11) = all_57_10 &
% 191.85/30.12 | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_13) = all_57_12 & op(e2,
% 191.85/30.12 | | | | | | | | | | | | | | | | | | | | | | | | all_57_15) = all_57_14 & op(e2, e3) =
% 191.85/30.12 | | | | | | | | | | | | | | | | | | | | | | | | all_57_9 & op(e2, e2) = all_57_11 & op(e2,
% 191.85/30.12 | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_13 & op(e2, e0) = all_57_15 &
% 191.85/30.12 | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_8) &
% 191.85/30.12 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9) & $i(all_57_10) & $i(all_57_11)
% 191.85/30.12 | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_12) & $i(all_57_13) &
% 191.85/30.12 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & $i(all_57_15)) | (all_57_29
% 191.85/30.12 | | | | | | | | | | | | | | | | | | | | | | | | = e0 & ~ (all_57_16 = e3) & ~ (all_57_18 =
% 191.85/30.12 | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_20 = e1) & ~ (all_57_22
% 191.85/30.12 | | | | | | | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_31 = e1) & op(e1,
% 191.85/30.12 | | | | | | | | | | | | | | | | | | | | | | | | all_57_17) = all_57_16 & op(e1, all_57_19)
% 191.85/30.12 | | | | | | | | | | | | | | | | | | | | | | | | = all_57_18 & op(e1, all_57_21) = all_57_20
% 191.85/30.12 | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, all_57_23) = all_57_22 & op(e1, e3)
% 191.85/30.12 | | | | | | | | | | | | | | | | | | | | | | | | = all_57_17 & op(e1, e2) = all_57_19 &
% 191.85/30.12 | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_21 & op(e1, e0) =
% 191.85/30.12 | | | | | | | | | | | | | | | | | | | | | | | | all_57_23 & op(e0, e1) = e0 & $i(all_57_16)
% 191.85/30.12 | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_17) & $i(all_57_18) &
% 191.85/30.12 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_20) &
% 191.85/30.12 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_22) &
% 191.85/30.12 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23))))
% 191.85/30.12 | | | | | | | | | | | | | | | | | | | | | | | |
% 191.85/30.12 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (546) gives:
% 191.85/30.12 | | | | | | | | | | | | | | | | | | | | | | | |
% 191.85/30.12 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.85/30.12 | | | | | | | | | | | | | | | | | | | | | | | | |
% 191.85/30.12 | | | | | | | | | | | | | | | | | | | | | | | | | (547) all_57_19 = e1 & ~ (all_57_8 = e3) & ~
% 191.85/30.12 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e2) & ~ (all_57_12 = e1) & ~
% 191.85/30.12 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e0) & ~ (all_57_21 = e2) & op(e2,
% 191.85/30.12 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_9) = all_57_8 & op(e2, all_57_11) =
% 191.85/30.12 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e2, all_57_13) = all_57_12 & op(e2,
% 191.85/30.12 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15) = all_57_14 & op(e2, e3) = all_57_9 &
% 191.85/30.12 | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_11 & op(e2, e1) = all_57_13 &
% 191.85/30.12 | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_15 & op(e1, e2) = e1 & op(e1,
% 191.85/30.12 | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_21 & $i(all_57_8) & $i(all_57_9) &
% 191.85/30.12 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & $i(all_57_11) & $i(all_57_12) &
% 191.85/30.12 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13) & $i(all_57_14) & $i(all_57_15) &
% 191.85/30.12 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21)
% 191.85/30.12 | | | | | | | | | | | | | | | | | | | | | | | | |
% 191.85/30.12 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (547) implies:
% 191.85/30.13 | | | | | | | | | | | | | | | | | | | | | | | | | (548) ~ (all_57_10 = e2)
% 191.85/30.13 | | | | | | | | | | | | | | | | | | | | | | | | | (549) op(e2, e2) = all_57_11
% 191.85/30.13 | | | | | | | | | | | | | | | | | | | | | | | | | (550) op(e2, all_57_11) = all_57_10
% 191.85/30.13 | | | | | | | | | | | | | | | | | | | | | | | | |
% 191.85/30.13 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (158), (162), (170), (227), (390), (391), (392),
% 191.85/30.13 | | | | | | | | | | | | | | | | | | | | | | | | | (548), (549), (550), (function-axioms) are
% 191.85/30.13 | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1967.
% 191.85/30.13 | | | | | | | | | | | | | | | | | | | | | | | | |
% 191.85/30.13 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.85/30.13 | | | | | | | | | | | | | | | | | | | | | | | | |
% 191.85/30.13 | | | | | | | | | | | | | | | | | | | | | | | | | (551) op(e0, e0) = all_57_31 & $i(all_57_31) &
% 191.85/30.13 | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_23 = e1 & ~ (all_57_21 = e0) & ~
% 191.85/30.13 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 191.85/30.13 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) &
% 191.85/30.13 | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_21 & op(e1, e0) = e1 &
% 191.85/30.13 | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_25) = all_57_24 & op(e0,
% 191.85/30.13 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27) = all_57_26 & op(e0, all_57_29) =
% 191.85/30.13 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_28 & op(e0, all_57_31) = all_57_30 &
% 191.85/30.13 | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_25 & op(e0, e2) =
% 191.85/30.13 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27 & op(e0, e1) = all_57_29 &
% 191.85/30.13 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_24) & $i(all_57_25)
% 191.85/30.13 | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_26) & $i(all_57_27) &
% 191.85/30.13 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28) & $i(all_57_29) & $i(all_57_30))
% 191.85/30.13 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_25 = e0 & ~ (all_57_0 = e3) & ~
% 191.85/30.13 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e2) & ~ (all_57_4 = e1) & ~
% 191.85/30.13 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_6 = e0) & ~ (all_57_31 = e3) & op(e3,
% 191.85/30.13 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1) = all_57_0 & op(e3, all_57_3) =
% 191.85/30.13 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_2 & op(e3, all_57_5) = all_57_4 &
% 191.85/30.13 | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, all_57_7) = all_57_6 & op(e3, e3) =
% 191.85/30.13 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e2) = all_57_3 & op(e3, e1)
% 191.85/30.13 | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_5 & op(e3, e0) = all_57_7 & op(e0,
% 191.85/30.13 | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e0 & $i(all_57_0) & $i(all_57_1) &
% 191.85/30.13 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_2) & $i(all_57_3) & $i(all_57_4) &
% 191.85/30.13 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_6) & $i(all_57_7)) |
% 191.85/30.13 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_27 = e0 & ~ (all_57_8 = e3) & ~
% 191.85/30.13 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e2) & ~ (all_57_12 = e1) & ~
% 191.85/30.13 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e0) & ~ (all_57_31 = e2) &
% 191.85/30.13 | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_9) = all_57_8 & op(e2,
% 191.85/30.13 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_11) = all_57_10 & op(e2, all_57_13) =
% 191.85/30.13 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & op(e2, all_57_15) = all_57_14 &
% 191.85/30.13 | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_9 & op(e2, e2) = all_57_11
% 191.85/30.13 | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = all_57_13 & op(e2, e0) =
% 191.85/30.13 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15 & op(e0, e2) = e0 & $i(all_57_8) &
% 191.85/30.13 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9) & $i(all_57_10) & $i(all_57_11) &
% 191.85/30.13 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & $i(all_57_13) & $i(all_57_14)
% 191.85/30.13 | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_15)) | (all_57_29 = e0 & ~
% 191.85/30.13 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_16 = e3) & ~ (all_57_18 = e2) & ~
% 191.85/30.13 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_22 = e0) & ~
% 191.85/30.13 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e1) & op(e1, all_57_17) =
% 191.85/30.13 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_16 & op(e1, all_57_19) = all_57_18 &
% 191.85/30.13 | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_21) = all_57_20 & op(e1,
% 191.85/30.13 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23) = all_57_22 & op(e1, e3) =
% 191.85/30.13 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e1, e2) = all_57_19 & op(e1,
% 191.85/30.13 | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_21 & op(e1, e0) = all_57_23 &
% 191.85/30.13 | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_16) &
% 191.85/30.13 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_17) & $i(all_57_18) & $i(all_57_19)
% 191.85/30.13 | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_20) & $i(all_57_21) &
% 191.85/30.13 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_23)))
% 191.85/30.13 | | | | | | | | | | | | | | | | | | | | | | | | |
% 191.85/30.13 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (551) implies:
% 191.85/30.13 | | | | | | | | | | | | | | | | | | | | | | | | | (552) (all_57_23 = e1 & ~ (all_57_21 = e0) & ~
% 191.85/30.13 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 191.85/30.13 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) & op(e1,
% 191.85/30.13 | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_21 & op(e1, e0) = e1 & op(e0,
% 191.85/30.13 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25) = all_57_24 & op(e0, all_57_27) =
% 191.85/30.13 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e0, all_57_29) = all_57_28 &
% 191.85/30.13 | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_31) = all_57_30 & op(e0, e3) =
% 191.85/30.13 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_27 & op(e0, e1)
% 191.85/30.13 | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_29 & $i(all_57_21) & $i(all_57_24) &
% 191.85/30.13 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_25) & $i(all_57_26) & $i(all_57_27) &
% 191.85/30.13 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28) & $i(all_57_29) & $i(all_57_30)) |
% 191.85/30.13 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_25 = e0 & ~ (all_57_0 = e3) & ~
% 191.85/30.13 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e2) & ~ (all_57_4 = e1) & ~
% 191.85/30.13 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_6 = e0) & ~ (all_57_31 = e3) & op(e3,
% 191.85/30.13 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1) = all_57_0 & op(e3, all_57_3) =
% 191.85/30.13 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_2 & op(e3, all_57_5) = all_57_4 & op(e3,
% 191.85/30.13 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7) = all_57_6 & op(e3, e3) = all_57_1 &
% 191.85/30.13 | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_3 & op(e3, e1) = all_57_5 &
% 191.85/30.13 | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_7 & op(e0, e3) = e0 &
% 191.85/30.13 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_0) & $i(all_57_1) & $i(all_57_2) &
% 191.85/30.13 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_3) & $i(all_57_4) & $i(all_57_5) &
% 191.85/30.13 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_6) & $i(all_57_7)) | (all_57_27 = e0 &
% 191.85/30.13 | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_8 = e3) & ~ (all_57_10 = e2) & ~
% 191.85/30.13 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e1) & ~ (all_57_14 = e0) & ~
% 191.85/30.13 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e2) & op(e2, all_57_9) = all_57_8 &
% 191.85/30.13 | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_11) = all_57_10 & op(e2,
% 191.85/30.13 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_13) = all_57_12 & op(e2, all_57_15) =
% 191.85/30.13 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_14 & op(e2, e3) = all_57_9 & op(e2, e2) =
% 191.85/30.13 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_11 & op(e2, e1) = all_57_13 & op(e2, e0)
% 191.85/30.13 | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_15 & op(e0, e2) = e0 & $i(all_57_8) &
% 191.85/30.13 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9) & $i(all_57_10) & $i(all_57_11) &
% 191.85/30.13 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & $i(all_57_13) & $i(all_57_14) &
% 191.85/30.13 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15)) | (all_57_29 = e0 & ~ (all_57_16
% 191.85/30.13 | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_18 = e2) & ~ (all_57_20 =
% 191.85/30.13 | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_22 = e0) & ~ (all_57_31 =
% 191.85/30.13 | | | | | | | | | | | | | | | | | | | | | | | | | e1) & op(e1, all_57_17) = all_57_16 & op(e1,
% 191.85/30.13 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_19) = all_57_18 & op(e1, all_57_21) =
% 191.85/30.13 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20 & op(e1, all_57_23) = all_57_22 &
% 191.85/30.13 | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_17 & op(e1, e2) = all_57_19
% 191.85/30.13 | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = all_57_21 & op(e1, e0) =
% 191.85/30.13 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23 & op(e0, e1) = e0 & $i(all_57_16) &
% 191.85/30.13 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_17) & $i(all_57_18) & $i(all_57_19) &
% 191.85/30.13 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_20) & $i(all_57_21) & $i(all_57_22) &
% 191.85/30.13 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23))
% 191.85/30.13 | | | | | | | | | | | | | | | | | | | | | | | | |
% 191.85/30.13 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (519) gives:
% 191.85/30.13 | | | | | | | | | | | | | | | | | | | | | | | | |
% 191.85/30.13 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.85/30.13 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 191.85/30.13 | | | | | | | | | | | | | | | | | | | | | | | | | | (553) all_54_10 = e2
% 191.85/30.13 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 191.85/30.13 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (335), (375), (553) are inconsistent by sub-proof
% 191.85/30.13 | | | | | | | | | | | | | | | | | | | | | | | | | | #1973.
% 191.85/30.13 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 191.85/30.13 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.85/30.13 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 191.85/30.13 | | | | | | | | | | | | | | | | | | | | | | | | | | (554) all_54_10 = e1 | all_54_10 = e0
% 191.85/30.13 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 191.85/30.13 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (554) gives:
% 191.85/30.13 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 191.85/30.13 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.85/30.13 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 191.85/30.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | (555) all_54_10 = e1
% 191.85/30.13 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 191.85/30.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (335), (555) imply:
% 191.85/30.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | (556) all_4_2 = e1
% 191.85/30.13 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 191.85/30.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (556) implies:
% 191.85/30.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | (557) all_4_2 = e1
% 191.85/30.13 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 191.85/30.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (367), (557) imply:
% 191.85/30.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | (558) ~ (all_52_14 = e1)
% 191.85/30.13 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 191.85/30.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (36), (557) imply:
% 191.85/30.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | (559) op(e1, e1) = e1
% 191.85/30.13 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 191.85/30.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (51), (158), (159), (160), (162), (170), (227),
% 191.85/30.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | (341), (390), (391), (392), (524), (526), (552),
% 191.85/30.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | (558), (559), (function-axioms) are inconsistent
% 191.85/30.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1935.
% 191.85/30.13 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 191.85/30.13 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.85/30.13 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 191.85/30.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | (560) all_54_10 = e0
% 191.85/30.13 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 191.85/30.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (335), (372), (560) are inconsistent by sub-proof
% 191.85/30.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | #1950.
% 191.85/30.13 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 191.85/30.13 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 191.85/30.13 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 191.85/30.13 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 191.85/30.13 | | | | | | | | | | | | | | | | | | | | | | | | |
% 191.85/30.13 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 191.85/30.13 | | | | | | | | | | | | | | | | | | | | | | | |
% 191.85/30.13 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 191.85/30.13 | | | | | | | | | | | | | | | | | | | | | | |
% 191.85/30.13 | | | | | | | | | | | | | | | | | | | | | | End of split
% 191.85/30.13 | | | | | | | | | | | | | | | | | | | | | |
% 191.85/30.13 | | | | | | | | | | | | | | | | | | | | | End of split
% 191.85/30.13 | | | | | | | | | | | | | | | | | | | | |
% 191.85/30.13 | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.85/30.13 | | | | | | | | | | | | | | | | | | | | |
% 191.85/30.13 | | | | | | | | | | | | | | | | | | | | | (561) all_57_11 = e3 & ~ (all_57_0 = e3) & ~ (all_57_2
% 191.85/30.13 | | | | | | | | | | | | | | | | | | | | | = e2) & ~ (all_57_4 = e1) & ~ (all_57_6 = e0)
% 191.85/30.13 | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_9 = e2) & op(e3, all_57_1) = all_57_0
% 191.85/30.13 | | | | | | | | | | | | | | | | | | | | | & op(e3, all_57_3) = all_57_2 & op(e3, all_57_5) =
% 191.85/30.13 | | | | | | | | | | | | | | | | | | | | | all_57_4 & op(e3, all_57_7) = all_57_6 & op(e3,
% 191.85/30.13 | | | | | | | | | | | | | | | | | | | | | e3) = all_57_1 & op(e3, e2) = all_57_3 & op(e3,
% 191.85/30.13 | | | | | | | | | | | | | | | | | | | | | e1) = all_57_5 & op(e3, e0) = all_57_7 & op(e2,
% 191.85/30.13 | | | | | | | | | | | | | | | | | | | | | e3) = all_57_9 & op(e2, e2) = e3 & $i(all_57_0)
% 191.85/30.13 | | | | | | | | | | | | | | | | | | | | | & $i(all_57_1) & $i(all_57_2) & $i(all_57_3) &
% 191.85/30.13 | | | | | | | | | | | | | | | | | | | | | $i(all_57_4) & $i(all_57_5) & $i(all_57_6) &
% 191.85/30.13 | | | | | | | | | | | | | | | | | | | | | $i(all_57_7) & $i(all_57_9)
% 191.85/30.13 | | | | | | | | | | | | | | | | | | | | |
% 191.85/30.13 | | | | | | | | | | | | | | | | | | | | | ALPHA: (561) implies:
% 191.85/30.13 | | | | | | | | | | | | | | | | | | | | | (562) op(e2, e2) = e3
% 191.85/30.13 | | | | | | | | | | | | | | | | | | | | |
% 191.85/30.13 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (396), (562), (function-axioms) are
% 191.85/30.13 | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1963.
% 191.85/30.13 | | | | | | | | | | | | | | | | | | | | |
% 191.85/30.13 | | | | | | | | | | | | | | | | | | | | End of split
% 191.85/30.13 | | | | | | | | | | | | | | | | | | | |
% 191.85/30.13 | | | | | | | | | | | | | | | | | | | End of split
% 191.85/30.13 | | | | | | | | | | | | | | | | | | |
% 191.85/30.13 | | | | | | | | | | | | | | | | | | Case 2:
% 191.85/30.13 | | | | | | | | | | | | | | | | | | |
% 191.85/30.14 | | | | | | | | | | | | | | | | | | | (563) (all_57_11 = e1 & ~ (all_57_13 = e2) & ~
% 191.85/30.14 | | | | | | | | | | | | | | | | | | | (all_57_16 = e3) & ~ (all_57_18 = e2) & ~
% 191.85/30.14 | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_22 = e0) & op(e2,
% 191.85/30.14 | | | | | | | | | | | | | | | | | | | e2) = e1 & op(e2, e1) = all_57_13 & op(e1,
% 191.85/30.14 | | | | | | | | | | | | | | | | | | | all_57_17) = all_57_16 & op(e1, all_57_19) =
% 191.85/30.14 | | | | | | | | | | | | | | | | | | | all_57_18 & op(e1, all_57_21) = all_57_20 &
% 191.85/30.14 | | | | | | | | | | | | | | | | | | | op(e1, all_57_23) = all_57_22 & op(e1, e3) =
% 191.85/30.14 | | | | | | | | | | | | | | | | | | | all_57_17 & op(e1, e2) = all_57_19 & op(e1, e1)
% 191.85/30.14 | | | | | | | | | | | | | | | | | | | = all_57_21 & op(e1, e0) = all_57_23 &
% 191.85/30.14 | | | | | | | | | | | | | | | | | | | $i(all_57_13) & $i(all_57_16) & $i(all_57_17) &
% 191.85/30.14 | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_19) & $i(all_57_20) &
% 191.85/30.14 | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_22) & $i(all_57_23)) |
% 191.85/30.14 | | | | | | | | | | | | | | | | | | | (all_57_11 = e0 & ~ (all_57_15 = e2) & ~
% 191.85/30.14 | | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 191.85/30.14 | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) & op(e2,
% 191.85/30.14 | | | | | | | | | | | | | | | | | | | e2) = e0 & op(e2, e0) = all_57_15 & op(e0,
% 191.85/30.14 | | | | | | | | | | | | | | | | | | | all_57_25) = all_57_24 & op(e0, all_57_27) =
% 191.85/30.14 | | | | | | | | | | | | | | | | | | | all_57_26 & op(e0, all_57_29) = all_57_28 &
% 191.85/30.14 | | | | | | | | | | | | | | | | | | | op(e0, all_57_31) = all_57_30 & op(e0, e3) =
% 191.85/30.14 | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_27 & op(e0, e1)
% 191.85/30.14 | | | | | | | | | | | | | | | | | | | = all_57_29 & op(e0, e0) = all_57_31 &
% 191.85/30.14 | | | | | | | | | | | | | | | | | | | $i(all_57_15) & $i(all_57_24) & $i(all_57_25) &
% 191.85/30.14 | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_27) & $i(all_57_28) &
% 191.85/30.14 | | | | | | | | | | | | | | | | | | | $i(all_57_29) & $i(all_57_30) & $i(all_57_31)) |
% 191.85/30.14 | | | | | | | | | | | | | | | | | | | (all_57_21 = e3 & ~ (all_57_0 = e3) & ~
% 191.85/30.14 | | | | | | | | | | | | | | | | | | | (all_57_2 = e2) & ~ (all_57_4 = e1) & ~
% 191.85/30.14 | | | | | | | | | | | | | | | | | | | (all_57_6 = e0) & ~ (all_57_17 = e1) & op(e3,
% 191.85/30.14 | | | | | | | | | | | | | | | | | | | all_57_1) = all_57_0 & op(e3, all_57_3) =
% 191.85/30.14 | | | | | | | | | | | | | | | | | | | all_57_2 & op(e3, all_57_5) = all_57_4 & op(e3,
% 191.85/30.14 | | | | | | | | | | | | | | | | | | | all_57_7) = all_57_6 & op(e3, e3) = all_57_1 &
% 191.85/30.14 | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_3 & op(e3, e1) = all_57_5 &
% 191.85/30.14 | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_7 & op(e1, e3) = all_57_17 &
% 191.85/30.14 | | | | | | | | | | | | | | | | | | | op(e1, e1) = e3 & $i(all_57_0) & $i(all_57_1) &
% 191.85/30.14 | | | | | | | | | | | | | | | | | | | $i(all_57_2) & $i(all_57_3) & $i(all_57_4) &
% 191.85/30.14 | | | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 191.85/30.14 | | | | | | | | | | | | | | | | | | | $i(all_57_17)) | (all_57_21 = e2 & ~ (all_57_8
% 191.85/30.14 | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_10 = e2) & ~ (all_57_12 =
% 191.85/30.14 | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_14 = e0) & ~ (all_57_19 =
% 191.85/30.14 | | | | | | | | | | | | | | | | | | | e1) & op(e2, all_57_9) = all_57_8 & op(e2,
% 191.85/30.14 | | | | | | | | | | | | | | | | | | | all_57_11) = all_57_10 & op(e2, all_57_13) =
% 191.85/30.14 | | | | | | | | | | | | | | | | | | | all_57_12 & op(e2, all_57_15) = all_57_14 &
% 191.85/30.14 | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_9 & op(e2, e2) = all_57_11 &
% 191.85/30.14 | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_57_13 & op(e2, e0) = all_57_15
% 191.85/30.14 | | | | | | | | | | | | | | | | | | | & op(e1, e2) = all_57_19 & op(e1, e1) = e2 &
% 191.85/30.14 | | | | | | | | | | | | | | | | | | | $i(all_57_8) & $i(all_57_9) & $i(all_57_10) &
% 191.85/30.14 | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_12) & $i(all_57_13) &
% 191.85/30.14 | | | | | | | | | | | | | | | | | | | $i(all_57_14) & $i(all_57_15) & $i(all_57_19)) |
% 191.85/30.14 | | | | | | | | | | | | | | | | | | | (op(e0, e0) = all_57_31 & $i(all_57_31) &
% 191.85/30.14 | | | | | | | | | | | | | | | | | | | ((all_57_21 = e0 & ~ (all_57_23 = e1) & ~
% 191.85/30.14 | | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 191.85/30.14 | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) &
% 191.85/30.14 | | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = all_57_23 &
% 191.85/30.14 | | | | | | | | | | | | | | | | | | | op(e0, all_57_25) = all_57_24 & op(e0,
% 191.85/30.14 | | | | | | | | | | | | | | | | | | | all_57_27) = all_57_26 & op(e0, all_57_29)
% 191.85/30.14 | | | | | | | | | | | | | | | | | | | = all_57_28 & op(e0, all_57_31) = all_57_30
% 191.85/30.14 | | | | | | | | | | | | | | | | | | | & op(e0, e3) = all_57_25 & op(e0, e2) =
% 191.85/30.14 | | | | | | | | | | | | | | | | | | | all_57_27 & op(e0, e1) = all_57_29 &
% 191.85/30.14 | | | | | | | | | | | | | | | | | | | $i(all_57_23) & $i(all_57_24) &
% 191.85/30.14 | | | | | | | | | | | | | | | | | | | $i(all_57_25) & $i(all_57_26) &
% 191.85/30.14 | | | | | | | | | | | | | | | | | | | $i(all_57_27) & $i(all_57_28) &
% 191.85/30.14 | | | | | | | | | | | | | | | | | | | $i(all_57_29) & $i(all_57_30)) | (all_57_31
% 191.85/30.14 | | | | | | | | | | | | | | | | | | | = e3 & ~ (all_57_0 = e3) & ~ (all_57_2 =
% 191.85/30.14 | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_4 = e1) & ~ (all_57_6 =
% 191.85/30.14 | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_25 = e0) & op(e3,
% 191.85/30.14 | | | | | | | | | | | | | | | | | | | all_57_1) = all_57_0 & op(e3, all_57_3) =
% 191.85/30.14 | | | | | | | | | | | | | | | | | | | all_57_2 & op(e3, all_57_5) = all_57_4 &
% 191.85/30.14 | | | | | | | | | | | | | | | | | | | op(e3, all_57_7) = all_57_6 & op(e3, e3) =
% 191.85/30.14 | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e2) = all_57_3 & op(e3,
% 191.85/30.14 | | | | | | | | | | | | | | | | | | | e1) = all_57_5 & op(e3, e0) = all_57_7 &
% 191.85/30.14 | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_25 & $i(all_57_0) &
% 191.85/30.14 | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_2) & $i(all_57_3) &
% 191.85/30.14 | | | | | | | | | | | | | | | | | | | $i(all_57_4) & $i(all_57_5) & $i(all_57_6) &
% 191.85/30.14 | | | | | | | | | | | | | | | | | | | $i(all_57_7) & $i(all_57_25)) | (all_57_31 =
% 191.85/30.14 | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_8 = e3) & ~ (all_57_10 =
% 191.85/30.14 | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_12 = e1) & ~ (all_57_14
% 191.85/30.14 | | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_27 = e0) & op(e2,
% 191.85/30.14 | | | | | | | | | | | | | | | | | | | all_57_9) = all_57_8 & op(e2, all_57_11) =
% 191.85/30.14 | | | | | | | | | | | | | | | | | | | all_57_10 & op(e2, all_57_13) = all_57_12 &
% 191.85/30.14 | | | | | | | | | | | | | | | | | | | op(e2, all_57_15) = all_57_14 & op(e2, e3) =
% 191.85/30.14 | | | | | | | | | | | | | | | | | | | all_57_9 & op(e2, e2) = all_57_11 & op(e2,
% 191.85/30.14 | | | | | | | | | | | | | | | | | | | e1) = all_57_13 & op(e2, e0) = all_57_15 &
% 191.85/30.14 | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_27 & $i(all_57_8) &
% 191.85/30.14 | | | | | | | | | | | | | | | | | | | $i(all_57_9) & $i(all_57_10) & $i(all_57_11)
% 191.85/30.14 | | | | | | | | | | | | | | | | | | | & $i(all_57_12) & $i(all_57_13) &
% 191.85/30.14 | | | | | | | | | | | | | | | | | | | $i(all_57_14) & $i(all_57_15) &
% 191.85/30.14 | | | | | | | | | | | | | | | | | | | $i(all_57_27)) | (all_57_31 = e1 & ~
% 191.85/30.14 | | | | | | | | | | | | | | | | | | | (all_57_16 = e3) & ~ (all_57_18 = e2) & ~
% 191.85/30.14 | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_22 = e0) & ~
% 191.85/30.14 | | | | | | | | | | | | | | | | | | | (all_57_29 = e0) & op(e1, all_57_17) =
% 191.85/30.14 | | | | | | | | | | | | | | | | | | | all_57_16 & op(e1, all_57_19) = all_57_18 &
% 191.85/30.14 | | | | | | | | | | | | | | | | | | | op(e1, all_57_21) = all_57_20 & op(e1,
% 191.85/30.14 | | | | | | | | | | | | | | | | | | | all_57_23) = all_57_22 & op(e1, e3) =
% 191.85/30.14 | | | | | | | | | | | | | | | | | | | all_57_17 & op(e1, e2) = all_57_19 & op(e1,
% 191.85/30.14 | | | | | | | | | | | | | | | | | | | e1) = all_57_21 & op(e1, e0) = all_57_23 &
% 191.85/30.14 | | | | | | | | | | | | | | | | | | | op(e0, e1) = all_57_29 & $i(all_57_16) &
% 191.85/30.14 | | | | | | | | | | | | | | | | | | | $i(all_57_17) & $i(all_57_18) &
% 191.85/30.14 | | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_20) &
% 191.85/30.14 | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_22) &
% 191.85/30.14 | | | | | | | | | | | | | | | | | | | $i(all_57_23) & $i(all_57_29))))
% 191.85/30.14 | | | | | | | | | | | | | | | | | | |
% 191.85/30.14 | | | | | | | | | | | | | | | | | | | BETA: splitting (563) gives:
% 191.85/30.14 | | | | | | | | | | | | | | | | | | |
% 191.85/30.14 | | | | | | | | | | | | | | | | | | | Case 1:
% 191.85/30.14 | | | | | | | | | | | | | | | | | | | |
% 191.85/30.14 | | | | | | | | | | | | | | | | | | | | (564) (all_57_11 = e1 & ~ (all_57_13 = e2) & ~
% 191.85/30.14 | | | | | | | | | | | | | | | | | | | | (all_57_16 = e3) & ~ (all_57_18 = e2) & ~
% 191.85/30.14 | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_22 = e0) & op(e2,
% 191.85/30.14 | | | | | | | | | | | | | | | | | | | | e2) = e1 & op(e2, e1) = all_57_13 & op(e1,
% 191.85/30.14 | | | | | | | | | | | | | | | | | | | | all_57_17) = all_57_16 & op(e1, all_57_19) =
% 191.85/30.14 | | | | | | | | | | | | | | | | | | | | all_57_18 & op(e1, all_57_21) = all_57_20 &
% 191.85/30.14 | | | | | | | | | | | | | | | | | | | | op(e1, all_57_23) = all_57_22 & op(e1, e3) =
% 191.85/30.14 | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e1, e2) = all_57_19 & op(e1, e1)
% 191.85/30.14 | | | | | | | | | | | | | | | | | | | | = all_57_21 & op(e1, e0) = all_57_23 &
% 191.85/30.14 | | | | | | | | | | | | | | | | | | | | $i(all_57_13) & $i(all_57_16) & $i(all_57_17) &
% 191.85/30.14 | | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_19) & $i(all_57_20) &
% 191.85/30.14 | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_22) & $i(all_57_23)) |
% 191.85/30.14 | | | | | | | | | | | | | | | | | | | | (all_57_11 = e0 & ~ (all_57_15 = e2) & ~
% 191.85/30.14 | | | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 191.85/30.14 | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) & op(e2,
% 191.85/30.14 | | | | | | | | | | | | | | | | | | | | e2) = e0 & op(e2, e0) = all_57_15 & op(e0,
% 191.85/30.14 | | | | | | | | | | | | | | | | | | | | all_57_25) = all_57_24 & op(e0, all_57_27) =
% 191.85/30.14 | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e0, all_57_29) = all_57_28 &
% 191.85/30.14 | | | | | | | | | | | | | | | | | | | | op(e0, all_57_31) = all_57_30 & op(e0, e3) =
% 191.85/30.14 | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_27 & op(e0, e1)
% 191.85/30.14 | | | | | | | | | | | | | | | | | | | | = all_57_29 & op(e0, e0) = all_57_31 &
% 191.85/30.14 | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & $i(all_57_24) & $i(all_57_25) &
% 191.85/30.14 | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_27) & $i(all_57_28) &
% 191.85/30.14 | | | | | | | | | | | | | | | | | | | | $i(all_57_29) & $i(all_57_30) & $i(all_57_31))
% 191.85/30.14 | | | | | | | | | | | | | | | | | | | |
% 191.85/30.14 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (396), (564), (function-axioms) are
% 191.85/30.14 | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1959.
% 191.85/30.14 | | | | | | | | | | | | | | | | | | | |
% 191.85/30.14 | | | | | | | | | | | | | | | | | | | Case 2:
% 191.85/30.14 | | | | | | | | | | | | | | | | | | | |
% 191.85/30.15 | | | | | | | | | | | | | | | | | | | | (565) (all_57_21 = e3 & ~ (all_57_0 = e3) & ~
% 191.85/30.15 | | | | | | | | | | | | | | | | | | | | (all_57_2 = e2) & ~ (all_57_4 = e1) & ~
% 191.85/30.15 | | | | | | | | | | | | | | | | | | | | (all_57_6 = e0) & ~ (all_57_17 = e1) & op(e3,
% 191.85/30.15 | | | | | | | | | | | | | | | | | | | | all_57_1) = all_57_0 & op(e3, all_57_3) =
% 191.85/30.15 | | | | | | | | | | | | | | | | | | | | all_57_2 & op(e3, all_57_5) = all_57_4 & op(e3,
% 191.85/30.15 | | | | | | | | | | | | | | | | | | | | all_57_7) = all_57_6 & op(e3, e3) = all_57_1 &
% 191.85/30.15 | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_3 & op(e3, e1) = all_57_5 &
% 191.85/30.15 | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_7 & op(e1, e3) = all_57_17 &
% 191.85/30.15 | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e3 & $i(all_57_0) & $i(all_57_1) &
% 191.85/30.15 | | | | | | | | | | | | | | | | | | | | $i(all_57_2) & $i(all_57_3) & $i(all_57_4) &
% 191.85/30.15 | | | | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 191.85/30.15 | | | | | | | | | | | | | | | | | | | | $i(all_57_17)) | (all_57_21 = e2 & ~ (all_57_8
% 191.85/30.15 | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_10 = e2) & ~ (all_57_12 =
% 191.85/30.15 | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_14 = e0) & ~ (all_57_19 =
% 191.85/30.15 | | | | | | | | | | | | | | | | | | | | e1) & op(e2, all_57_9) = all_57_8 & op(e2,
% 191.85/30.15 | | | | | | | | | | | | | | | | | | | | all_57_11) = all_57_10 & op(e2, all_57_13) =
% 191.85/30.15 | | | | | | | | | | | | | | | | | | | | all_57_12 & op(e2, all_57_15) = all_57_14 &
% 191.85/30.15 | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_9 & op(e2, e2) = all_57_11 &
% 191.85/30.15 | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_57_13 & op(e2, e0) = all_57_15
% 191.85/30.15 | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = all_57_19 & op(e1, e1) = e2 &
% 191.85/30.15 | | | | | | | | | | | | | | | | | | | | $i(all_57_8) & $i(all_57_9) & $i(all_57_10) &
% 191.85/30.15 | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_12) & $i(all_57_13) &
% 191.85/30.15 | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & $i(all_57_15) & $i(all_57_19)) |
% 191.85/30.15 | | | | | | | | | | | | | | | | | | | | (op(e0, e0) = all_57_31 & $i(all_57_31) &
% 191.85/30.15 | | | | | | | | | | | | | | | | | | | | ((all_57_21 = e0 & ~ (all_57_23 = e1) & ~
% 191.85/30.15 | | | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 191.85/30.15 | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) &
% 191.85/30.15 | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = all_57_23 &
% 191.85/30.15 | | | | | | | | | | | | | | | | | | | | op(e0, all_57_25) = all_57_24 & op(e0,
% 191.85/30.15 | | | | | | | | | | | | | | | | | | | | all_57_27) = all_57_26 & op(e0, all_57_29)
% 191.85/30.15 | | | | | | | | | | | | | | | | | | | | = all_57_28 & op(e0, all_57_31) = all_57_30
% 191.85/30.15 | | | | | | | | | | | | | | | | | | | | & op(e0, e3) = all_57_25 & op(e0, e2) =
% 191.85/30.15 | | | | | | | | | | | | | | | | | | | | all_57_27 & op(e0, e1) = all_57_29 &
% 191.85/30.15 | | | | | | | | | | | | | | | | | | | | $i(all_57_23) & $i(all_57_24) &
% 191.85/30.15 | | | | | | | | | | | | | | | | | | | | $i(all_57_25) & $i(all_57_26) &
% 191.85/30.15 | | | | | | | | | | | | | | | | | | | | $i(all_57_27) & $i(all_57_28) &
% 191.85/30.15 | | | | | | | | | | | | | | | | | | | | $i(all_57_29) & $i(all_57_30)) | (all_57_31
% 191.85/30.15 | | | | | | | | | | | | | | | | | | | | = e3 & ~ (all_57_0 = e3) & ~ (all_57_2 =
% 191.85/30.15 | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_4 = e1) & ~ (all_57_6 =
% 191.85/30.15 | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_25 = e0) & op(e3,
% 191.85/30.15 | | | | | | | | | | | | | | | | | | | | all_57_1) = all_57_0 & op(e3, all_57_3) =
% 191.85/30.15 | | | | | | | | | | | | | | | | | | | | all_57_2 & op(e3, all_57_5) = all_57_4 &
% 191.85/30.15 | | | | | | | | | | | | | | | | | | | | op(e3, all_57_7) = all_57_6 & op(e3, e3) =
% 191.85/30.15 | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e2) = all_57_3 & op(e3,
% 191.85/30.15 | | | | | | | | | | | | | | | | | | | | e1) = all_57_5 & op(e3, e0) = all_57_7 &
% 191.85/30.15 | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_25 & $i(all_57_0) &
% 191.85/30.15 | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_2) & $i(all_57_3) &
% 191.85/30.15 | | | | | | | | | | | | | | | | | | | | $i(all_57_4) & $i(all_57_5) & $i(all_57_6) &
% 191.85/30.15 | | | | | | | | | | | | | | | | | | | | $i(all_57_7) & $i(all_57_25)) | (all_57_31 =
% 191.85/30.15 | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_8 = e3) & ~ (all_57_10 =
% 191.85/30.15 | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_12 = e1) & ~ (all_57_14
% 191.85/30.15 | | | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_27 = e0) & op(e2,
% 191.85/30.15 | | | | | | | | | | | | | | | | | | | | all_57_9) = all_57_8 & op(e2, all_57_11) =
% 191.85/30.15 | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e2, all_57_13) = all_57_12 &
% 191.85/30.15 | | | | | | | | | | | | | | | | | | | | op(e2, all_57_15) = all_57_14 & op(e2, e3) =
% 191.85/30.15 | | | | | | | | | | | | | | | | | | | | all_57_9 & op(e2, e2) = all_57_11 & op(e2,
% 191.85/30.15 | | | | | | | | | | | | | | | | | | | | e1) = all_57_13 & op(e2, e0) = all_57_15 &
% 191.85/30.15 | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_27 & $i(all_57_8) &
% 191.85/30.15 | | | | | | | | | | | | | | | | | | | | $i(all_57_9) & $i(all_57_10) & $i(all_57_11)
% 191.85/30.15 | | | | | | | | | | | | | | | | | | | | & $i(all_57_12) & $i(all_57_13) &
% 191.85/30.15 | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & $i(all_57_15) &
% 191.85/30.15 | | | | | | | | | | | | | | | | | | | | $i(all_57_27)) | (all_57_31 = e1 & ~
% 191.85/30.15 | | | | | | | | | | | | | | | | | | | | (all_57_16 = e3) & ~ (all_57_18 = e2) & ~
% 191.85/30.15 | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_22 = e0) & ~
% 191.85/30.15 | | | | | | | | | | | | | | | | | | | | (all_57_29 = e0) & op(e1, all_57_17) =
% 191.85/30.15 | | | | | | | | | | | | | | | | | | | | all_57_16 & op(e1, all_57_19) = all_57_18 &
% 191.85/30.15 | | | | | | | | | | | | | | | | | | | | op(e1, all_57_21) = all_57_20 & op(e1,
% 191.85/30.15 | | | | | | | | | | | | | | | | | | | | all_57_23) = all_57_22 & op(e1, e3) =
% 191.85/30.15 | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e1, e2) = all_57_19 & op(e1,
% 191.85/30.15 | | | | | | | | | | | | | | | | | | | | e1) = all_57_21 & op(e1, e0) = all_57_23 &
% 191.85/30.15 | | | | | | | | | | | | | | | | | | | | op(e0, e1) = all_57_29 & $i(all_57_16) &
% 191.85/30.15 | | | | | | | | | | | | | | | | | | | | $i(all_57_17) & $i(all_57_18) &
% 191.85/30.15 | | | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_20) &
% 191.85/30.15 | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_22) &
% 191.85/30.15 | | | | | | | | | | | | | | | | | | | | $i(all_57_23) & $i(all_57_29))))
% 191.85/30.15 | | | | | | | | | | | | | | | | | | | |
% 191.85/30.15 | | | | | | | | | | | | | | | | | | | | BETA: splitting (565) gives:
% 191.85/30.15 | | | | | | | | | | | | | | | | | | | |
% 191.85/30.15 | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.85/30.15 | | | | | | | | | | | | | | | | | | | | |
% 191.85/30.15 | | | | | | | | | | | | | | | | | | | | | (566) all_57_21 = e3 & ~ (all_57_0 = e3) & ~ (all_57_2
% 191.85/30.15 | | | | | | | | | | | | | | | | | | | | | = e2) & ~ (all_57_4 = e1) & ~ (all_57_6 = e0)
% 191.85/30.15 | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_17 = e1) & op(e3, all_57_1) =
% 191.85/30.15 | | | | | | | | | | | | | | | | | | | | | all_57_0 & op(e3, all_57_3) = all_57_2 & op(e3,
% 191.85/30.15 | | | | | | | | | | | | | | | | | | | | | all_57_5) = all_57_4 & op(e3, all_57_7) =
% 191.85/30.15 | | | | | | | | | | | | | | | | | | | | | all_57_6 & op(e3, e3) = all_57_1 & op(e3, e2) =
% 191.85/30.15 | | | | | | | | | | | | | | | | | | | | | all_57_3 & op(e3, e1) = all_57_5 & op(e3, e0) =
% 191.85/30.15 | | | | | | | | | | | | | | | | | | | | | all_57_7 & op(e1, e3) = all_57_17 & op(e1, e1) =
% 191.85/30.15 | | | | | | | | | | | | | | | | | | | | | e3 & $i(all_57_0) & $i(all_57_1) & $i(all_57_2) &
% 191.85/30.15 | | | | | | | | | | | | | | | | | | | | | $i(all_57_3) & $i(all_57_4) & $i(all_57_5) &
% 191.85/30.15 | | | | | | | | | | | | | | | | | | | | | $i(all_57_6) & $i(all_57_7) & $i(all_57_17)
% 191.85/30.15 | | | | | | | | | | | | | | | | | | | | |
% 191.85/30.15 | | | | | | | | | | | | | | | | | | | | | ALPHA: (566) implies:
% 191.85/30.15 | | | | | | | | | | | | | | | | | | | | | (567) op(e1, e1) = e3
% 191.85/30.15 | | | | | | | | | | | | | | | | | | | | |
% 191.85/30.15 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (335), (372), (375), (516), (519), (567),
% 191.85/30.15 | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 191.85/30.15 | | | | | | | | | | | | | | | | | | | | | #1883.
% 191.85/30.15 | | | | | | | | | | | | | | | | | | | | |
% 191.85/30.15 | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.85/30.15 | | | | | | | | | | | | | | | | | | | | |
% 191.85/30.15 | | | | | | | | | | | | | | | | | | | | | (568) (all_57_21 = e2 & ~ (all_57_8 = e3) & ~
% 191.85/30.15 | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e2) & ~ (all_57_12 = e1) & ~
% 191.85/30.15 | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e0) & ~ (all_57_19 = e1) & op(e2,
% 191.85/30.15 | | | | | | | | | | | | | | | | | | | | | all_57_9) = all_57_8 & op(e2, all_57_11) =
% 191.85/30.15 | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e2, all_57_13) = all_57_12 &
% 191.85/30.15 | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_15) = all_57_14 & op(e2, e3) =
% 191.85/30.15 | | | | | | | | | | | | | | | | | | | | | all_57_9 & op(e2, e2) = all_57_11 & op(e2, e1) =
% 191.85/30.15 | | | | | | | | | | | | | | | | | | | | | all_57_13 & op(e2, e0) = all_57_15 & op(e1, e2)
% 191.85/30.15 | | | | | | | | | | | | | | | | | | | | | = all_57_19 & op(e1, e1) = e2 & $i(all_57_8) &
% 191.85/30.15 | | | | | | | | | | | | | | | | | | | | | $i(all_57_9) & $i(all_57_10) & $i(all_57_11) &
% 191.85/30.15 | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & $i(all_57_13) & $i(all_57_14) &
% 191.85/30.15 | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & $i(all_57_19)) | (op(e0, e0) =
% 191.85/30.15 | | | | | | | | | | | | | | | | | | | | | all_57_31 & $i(all_57_31) & ((all_57_21 = e0 &
% 191.85/30.15 | | | | | | | | | | | | | | | | | | | | | ~ (all_57_23 = e1) & ~ (all_57_24 = e3) &
% 191.85/30.15 | | | | | | | | | | | | | | | | | | | | | ~ (all_57_26 = e2) & ~ (all_57_28 = e1) &
% 191.85/30.15 | | | | | | | | | | | | | | | | | | | | | ~ (all_57_30 = e0) & op(e1, e1) = e0 &
% 191.85/30.15 | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_23 & op(e0, all_57_25) =
% 191.85/30.15 | | | | | | | | | | | | | | | | | | | | | all_57_24 & op(e0, all_57_27) = all_57_26 &
% 191.85/30.15 | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_29) = all_57_28 & op(e0,
% 191.85/30.15 | | | | | | | | | | | | | | | | | | | | | all_57_31) = all_57_30 & op(e0, e3) =
% 191.85/30.15 | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_27 & op(e0,
% 191.85/30.15 | | | | | | | | | | | | | | | | | | | | | e1) = all_57_29 & $i(all_57_23) &
% 191.85/30.15 | | | | | | | | | | | | | | | | | | | | | $i(all_57_24) & $i(all_57_25) &
% 191.85/30.15 | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_27) &
% 191.85/30.15 | | | | | | | | | | | | | | | | | | | | | $i(all_57_28) & $i(all_57_29) &
% 191.85/30.15 | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_31 = e3 & ~
% 191.85/30.15 | | | | | | | | | | | | | | | | | | | | | (all_57_0 = e3) & ~ (all_57_2 = e2) & ~
% 191.85/30.15 | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1) & ~ (all_57_6 = e0) & ~
% 191.85/30.15 | | | | | | | | | | | | | | | | | | | | | (all_57_25 = e0) & op(e3, all_57_1) =
% 191.85/30.15 | | | | | | | | | | | | | | | | | | | | | all_57_0 & op(e3, all_57_3) = all_57_2 &
% 191.85/30.15 | | | | | | | | | | | | | | | | | | | | | op(e3, all_57_5) = all_57_4 & op(e3,
% 191.85/30.15 | | | | | | | | | | | | | | | | | | | | | all_57_7) = all_57_6 & op(e3, e3) =
% 191.85/30.15 | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e2) = all_57_3 & op(e3,
% 191.85/30.15 | | | | | | | | | | | | | | | | | | | | | e1) = all_57_5 & op(e3, e0) = all_57_7 &
% 191.85/30.15 | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_25 & $i(all_57_0) &
% 191.85/30.15 | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_2) & $i(all_57_3) &
% 191.85/30.15 | | | | | | | | | | | | | | | | | | | | | $i(all_57_4) & $i(all_57_5) & $i(all_57_6) &
% 191.85/30.15 | | | | | | | | | | | | | | | | | | | | | $i(all_57_7) & $i(all_57_25)) | (all_57_31 =
% 191.85/30.15 | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_8 = e3) & ~ (all_57_10 =
% 191.85/30.15 | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_12 = e1) & ~ (all_57_14
% 191.85/30.15 | | | | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_27 = e0) & op(e2,
% 191.85/30.15 | | | | | | | | | | | | | | | | | | | | | all_57_9) = all_57_8 & op(e2, all_57_11) =
% 191.85/30.15 | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e2, all_57_13) = all_57_12 &
% 191.85/30.15 | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_15) = all_57_14 & op(e2, e3) =
% 191.85/30.15 | | | | | | | | | | | | | | | | | | | | | all_57_9 & op(e2, e2) = all_57_11 & op(e2,
% 191.85/30.15 | | | | | | | | | | | | | | | | | | | | | e1) = all_57_13 & op(e2, e0) = all_57_15 &
% 191.85/30.15 | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_27 & $i(all_57_8) &
% 191.85/30.15 | | | | | | | | | | | | | | | | | | | | | $i(all_57_9) & $i(all_57_10) & $i(all_57_11)
% 191.85/30.15 | | | | | | | | | | | | | | | | | | | | | & $i(all_57_12) & $i(all_57_13) &
% 191.85/30.15 | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & $i(all_57_15) &
% 191.85/30.15 | | | | | | | | | | | | | | | | | | | | | $i(all_57_27)) | (all_57_31 = e1 & ~
% 191.85/30.15 | | | | | | | | | | | | | | | | | | | | | (all_57_16 = e3) & ~ (all_57_18 = e2) & ~
% 191.85/30.15 | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_22 = e0) & ~
% 191.85/30.15 | | | | | | | | | | | | | | | | | | | | | (all_57_29 = e0) & op(e1, all_57_17) =
% 191.85/30.15 | | | | | | | | | | | | | | | | | | | | | all_57_16 & op(e1, all_57_19) = all_57_18 &
% 191.85/30.15 | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_21) = all_57_20 & op(e1,
% 191.85/30.15 | | | | | | | | | | | | | | | | | | | | | all_57_23) = all_57_22 & op(e1, e3) =
% 191.85/30.15 | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e1, e2) = all_57_19 & op(e1,
% 191.85/30.15 | | | | | | | | | | | | | | | | | | | | | e1) = all_57_21 & op(e1, e0) = all_57_23 &
% 191.85/30.15 | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = all_57_29 & $i(all_57_16) &
% 191.85/30.15 | | | | | | | | | | | | | | | | | | | | | $i(all_57_17) & $i(all_57_18) &
% 191.85/30.15 | | | | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_20) &
% 191.85/30.15 | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_22) &
% 191.85/30.15 | | | | | | | | | | | | | | | | | | | | | $i(all_57_23) & $i(all_57_29))))
% 191.85/30.15 | | | | | | | | | | | | | | | | | | | | |
% 191.85/30.15 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (568) gives:
% 191.85/30.15 | | | | | | | | | | | | | | | | | | | | |
% 191.85/30.15 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.85/30.15 | | | | | | | | | | | | | | | | | | | | | |
% 191.85/30.15 | | | | | | | | | | | | | | | | | | | | | | (569) all_57_21 = e2 & ~ (all_57_8 = e3) & ~
% 191.85/30.15 | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e2) & ~ (all_57_12 = e1) & ~
% 191.85/30.15 | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e0) & ~ (all_57_19 = e1) & op(e2,
% 191.85/30.16 | | | | | | | | | | | | | | | | | | | | | | all_57_9) = all_57_8 & op(e2, all_57_11) =
% 191.85/30.16 | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e2, all_57_13) = all_57_12 & op(e2,
% 191.85/30.16 | | | | | | | | | | | | | | | | | | | | | | all_57_15) = all_57_14 & op(e2, e3) = all_57_9 &
% 191.85/30.16 | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_11 & op(e2, e1) = all_57_13 &
% 191.85/30.16 | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_15 & op(e1, e2) = all_57_19 &
% 191.85/30.16 | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e2 & $i(all_57_8) & $i(all_57_9) &
% 191.85/30.16 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & $i(all_57_11) & $i(all_57_12) &
% 191.85/30.16 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13) & $i(all_57_14) & $i(all_57_15) &
% 191.85/30.16 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19)
% 191.85/30.16 | | | | | | | | | | | | | | | | | | | | | |
% 191.85/30.16 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (569) implies:
% 191.85/30.16 | | | | | | | | | | | | | | | | | | | | | | (570) op(e1, e1) = e2
% 191.85/30.16 | | | | | | | | | | | | | | | | | | | | | |
% 191.85/30.16 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (335), (372), (375), (519), (570),
% 191.85/30.16 | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 191.85/30.16 | | | | | | | | | | | | | | | | | | | | | | #1881.
% 191.85/30.16 | | | | | | | | | | | | | | | | | | | | | |
% 191.85/30.16 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.85/30.16 | | | | | | | | | | | | | | | | | | | | | |
% 191.85/30.16 | | | | | | | | | | | | | | | | | | | | | | (571) op(e0, e0) = all_57_31 & $i(all_57_31) &
% 191.85/30.16 | | | | | | | | | | | | | | | | | | | | | | ((all_57_21 = e0 & ~ (all_57_23 = e1) & ~
% 191.85/30.16 | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 191.85/30.16 | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) &
% 191.85/30.16 | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = all_57_23 &
% 191.85/30.16 | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_25) = all_57_24 & op(e0,
% 191.85/30.16 | | | | | | | | | | | | | | | | | | | | | | all_57_27) = all_57_26 & op(e0, all_57_29) =
% 191.85/30.16 | | | | | | | | | | | | | | | | | | | | | | all_57_28 & op(e0, all_57_31) = all_57_30 &
% 191.85/30.16 | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_25 & op(e0, e2) =
% 191.85/30.16 | | | | | | | | | | | | | | | | | | | | | | all_57_27 & op(e0, e1) = all_57_29 &
% 191.85/30.16 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23) & $i(all_57_24) & $i(all_57_25)
% 191.85/30.16 | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_26) & $i(all_57_27) &
% 191.85/30.16 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28) & $i(all_57_29) & $i(all_57_30))
% 191.85/30.16 | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e3 & ~ (all_57_0 = e3) & ~
% 191.85/30.16 | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e2) & ~ (all_57_4 = e1) & ~
% 191.85/30.16 | | | | | | | | | | | | | | | | | | | | | | (all_57_6 = e0) & ~ (all_57_25 = e0) & op(e3,
% 191.85/30.16 | | | | | | | | | | | | | | | | | | | | | | all_57_1) = all_57_0 & op(e3, all_57_3) =
% 191.85/30.16 | | | | | | | | | | | | | | | | | | | | | | all_57_2 & op(e3, all_57_5) = all_57_4 &
% 191.85/30.16 | | | | | | | | | | | | | | | | | | | | | | op(e3, all_57_7) = all_57_6 & op(e3, e3) =
% 191.85/30.16 | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e2) = all_57_3 & op(e3, e1)
% 191.85/30.16 | | | | | | | | | | | | | | | | | | | | | | = all_57_5 & op(e3, e0) = all_57_7 & op(e0,
% 191.85/30.16 | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_25 & $i(all_57_0) &
% 191.85/30.16 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_2) & $i(all_57_3) &
% 191.85/30.16 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4) & $i(all_57_5) & $i(all_57_6) &
% 191.85/30.16 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7) & $i(all_57_25)) | (all_57_31 =
% 191.85/30.16 | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_8 = e3) & ~ (all_57_10 = e2)
% 191.85/30.16 | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_12 = e1) & ~ (all_57_14 = e0) &
% 191.85/30.16 | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_27 = e0) & op(e2, all_57_9) =
% 191.85/30.16 | | | | | | | | | | | | | | | | | | | | | | all_57_8 & op(e2, all_57_11) = all_57_10 &
% 191.85/30.16 | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_13) = all_57_12 & op(e2,
% 191.85/30.16 | | | | | | | | | | | | | | | | | | | | | | all_57_15) = all_57_14 & op(e2, e3) =
% 191.85/30.16 | | | | | | | | | | | | | | | | | | | | | | all_57_9 & op(e2, e2) = all_57_11 & op(e2, e1)
% 191.85/30.16 | | | | | | | | | | | | | | | | | | | | | | = all_57_13 & op(e2, e0) = all_57_15 & op(e0,
% 191.85/30.16 | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_27 & $i(all_57_8) &
% 191.85/30.16 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9) & $i(all_57_10) & $i(all_57_11) &
% 191.85/30.16 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & $i(all_57_13) & $i(all_57_14)
% 191.85/30.16 | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_15) & $i(all_57_27)) | (all_57_31
% 191.85/30.16 | | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_16 = e3) & ~ (all_57_18 =
% 191.85/30.16 | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_20 = e1) & ~ (all_57_22 =
% 191.85/30.16 | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_29 = e0) & op(e1,
% 191.85/30.16 | | | | | | | | | | | | | | | | | | | | | | all_57_17) = all_57_16 & op(e1, all_57_19) =
% 191.85/30.16 | | | | | | | | | | | | | | | | | | | | | | all_57_18 & op(e1, all_57_21) = all_57_20 &
% 191.85/30.16 | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_23) = all_57_22 & op(e1, e3) =
% 191.85/30.16 | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e1, e2) = all_57_19 & op(e1,
% 191.85/30.16 | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_21 & op(e1, e0) = all_57_23 &
% 191.85/30.16 | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = all_57_29 & $i(all_57_16) &
% 191.85/30.16 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_17) & $i(all_57_18) & $i(all_57_19)
% 191.85/30.16 | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_20) & $i(all_57_21) &
% 191.85/30.16 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_23) &
% 191.85/30.16 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29)))
% 191.85/30.16 | | | | | | | | | | | | | | | | | | | | | |
% 191.85/30.16 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (571) implies:
% 191.85/30.16 | | | | | | | | | | | | | | | | | | | | | | (572) op(e0, e0) = all_57_31
% 191.85/30.16 | | | | | | | | | | | | | | | | | | | | | | (573) (all_57_21 = e0 & ~ (all_57_23 = e1) & ~
% 191.85/30.16 | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 191.85/30.16 | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) & op(e1,
% 191.85/30.16 | | | | | | | | | | | | | | | | | | | | | | e1) = e0 & op(e1, e0) = all_57_23 & op(e0,
% 191.85/30.16 | | | | | | | | | | | | | | | | | | | | | | all_57_25) = all_57_24 & op(e0, all_57_27) =
% 191.85/30.16 | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e0, all_57_29) = all_57_28 &
% 191.85/30.16 | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_31) = all_57_30 & op(e0, e3) =
% 191.85/30.16 | | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_27 & op(e0, e1)
% 191.85/30.16 | | | | | | | | | | | | | | | | | | | | | | = all_57_29 & $i(all_57_23) & $i(all_57_24) &
% 191.85/30.16 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_25) & $i(all_57_26) & $i(all_57_27) &
% 191.85/30.16 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28) & $i(all_57_29) & $i(all_57_30)) |
% 191.85/30.16 | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e3 & ~ (all_57_0 = e3) & ~
% 191.85/30.16 | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e2) & ~ (all_57_4 = e1) & ~
% 191.85/30.16 | | | | | | | | | | | | | | | | | | | | | | (all_57_6 = e0) & ~ (all_57_25 = e0) & op(e3,
% 191.85/30.16 | | | | | | | | | | | | | | | | | | | | | | all_57_1) = all_57_0 & op(e3, all_57_3) =
% 191.85/30.16 | | | | | | | | | | | | | | | | | | | | | | all_57_2 & op(e3, all_57_5) = all_57_4 & op(e3,
% 191.85/30.16 | | | | | | | | | | | | | | | | | | | | | | all_57_7) = all_57_6 & op(e3, e3) = all_57_1 &
% 191.85/30.16 | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_3 & op(e3, e1) = all_57_5 &
% 191.85/30.16 | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_7 & op(e0, e3) = all_57_25 &
% 191.85/30.16 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_0) & $i(all_57_1) & $i(all_57_2) &
% 191.85/30.16 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_3) & $i(all_57_4) & $i(all_57_5) &
% 191.85/30.16 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_6) & $i(all_57_7) & $i(all_57_25)) |
% 191.85/30.16 | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e2 & ~ (all_57_8 = e3) & ~
% 191.85/30.16 | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e2) & ~ (all_57_12 = e1) & ~
% 191.85/30.16 | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e0) & ~ (all_57_27 = e0) & op(e2,
% 191.85/30.16 | | | | | | | | | | | | | | | | | | | | | | all_57_9) = all_57_8 & op(e2, all_57_11) =
% 191.85/30.16 | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e2, all_57_13) = all_57_12 &
% 191.85/30.16 | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_15) = all_57_14 & op(e2, e3) =
% 191.85/30.16 | | | | | | | | | | | | | | | | | | | | | | all_57_9 & op(e2, e2) = all_57_11 & op(e2, e1) =
% 191.85/30.16 | | | | | | | | | | | | | | | | | | | | | | all_57_13 & op(e2, e0) = all_57_15 & op(e0, e2)
% 191.85/30.16 | | | | | | | | | | | | | | | | | | | | | | = all_57_27 & $i(all_57_8) & $i(all_57_9) &
% 191.85/30.16 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & $i(all_57_11) & $i(all_57_12) &
% 191.85/30.16 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13) & $i(all_57_14) & $i(all_57_15) &
% 191.85/30.16 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27)) | (all_57_31 = e1 & ~ (all_57_16
% 191.85/30.16 | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_18 = e2) & ~ (all_57_20 =
% 191.85/30.16 | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_22 = e0) & ~ (all_57_29 =
% 191.85/30.16 | | | | | | | | | | | | | | | | | | | | | | e0) & op(e1, all_57_17) = all_57_16 & op(e1,
% 191.85/30.16 | | | | | | | | | | | | | | | | | | | | | | all_57_19) = all_57_18 & op(e1, all_57_21) =
% 191.85/30.16 | | | | | | | | | | | | | | | | | | | | | | all_57_20 & op(e1, all_57_23) = all_57_22 &
% 191.85/30.16 | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_17 & op(e1, e2) = all_57_19
% 191.85/30.16 | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = all_57_21 & op(e1, e0) =
% 191.85/30.16 | | | | | | | | | | | | | | | | | | | | | | all_57_23 & op(e0, e1) = all_57_29 &
% 191.85/30.16 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_16) & $i(all_57_17) & $i(all_57_18) &
% 191.85/30.16 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_20) & $i(all_57_21) &
% 191.85/30.16 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_23) & $i(all_57_29))
% 191.85/30.16 | | | | | | | | | | | | | | | | | | | | | |
% 191.85/30.16 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (45), (158), (162), (170), (227), (335),
% 191.85/30.16 | | | | | | | | | | | | | | | | | | | | | | (372), (375), (376), (390), (391), (392), (519),
% 191.85/30.16 | | | | | | | | | | | | | | | | | | | | | | (572), (573), (function-axioms) are inconsistent
% 191.85/30.16 | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1880.
% 191.85/30.16 | | | | | | | | | | | | | | | | | | | | | |
% 191.85/30.16 | | | | | | | | | | | | | | | | | | | | | End of split
% 191.85/30.16 | | | | | | | | | | | | | | | | | | | | |
% 191.85/30.16 | | | | | | | | | | | | | | | | | | | | End of split
% 191.85/30.16 | | | | | | | | | | | | | | | | | | | |
% 191.85/30.16 | | | | | | | | | | | | | | | | | | | End of split
% 191.85/30.16 | | | | | | | | | | | | | | | | | | |
% 191.85/30.16 | | | | | | | | | | | | | | | | | | End of split
% 191.85/30.16 | | | | | | | | | | | | | | | | | |
% 191.85/30.16 | | | | | | | | | | | | | | | | | End of split
% 191.85/30.16 | | | | | | | | | | | | | | | | |
% 191.85/30.16 | | | | | | | | | | | | | | | | Case 2:
% 191.85/30.16 | | | | | | | | | | | | | | | | |
% 191.85/30.16 | | | | | | | | | | | | | | | | | (574) all_32_2 = e3
% 191.85/30.16 | | | | | | | | | | | | | | | | | (575) op(e3, e1) = all_32_1 & $i(all_32_1) & ( ~
% 191.85/30.16 | | | | | | | | | | | | | | | | | (all_32_1 = e0) | ( ~ (all_32_0 = e2) & op(e0,
% 191.85/30.16 | | | | | | | | | | | | | | | | | e3) = all_32_0 & $i(all_32_0)))
% 191.85/30.16 | | | | | | | | | | | | | | | | |
% 191.85/30.16 | | | | | | | | | | | | | | | | | ALPHA: (575) implies:
% 191.85/30.16 | | | | | | | | | | | | | | | | | (576) op(e3, e1) = all_32_1
% 191.85/30.16 | | | | | | | | | | | | | | | | |
% 191.85/30.16 | | | | | | | | | | | | | | | | | COMBINE_EQS: (301), (574) imply:
% 191.85/30.16 | | | | | | | | | | | | | | | | | (577) all_4_2 = e3
% 191.85/30.16 | | | | | | | | | | | | | | | | |
% 191.85/30.16 | | | | | | | | | | | | | | | | | SIMP: (577) implies:
% 191.85/30.16 | | | | | | | | | | | | | | | | | (578) all_4_2 = e3
% 191.85/30.16 | | | | | | | | | | | | | | | | |
% 191.85/30.16 | | | | | | | | | | | | | | | | | COMBINE_EQS: (295), (578) imply:
% 191.85/30.16 | | | | | | | | | | | | | | | | | (579) all_50_2 = e3
% 191.85/30.16 | | | | | | | | | | | | | | | | |
% 191.85/30.16 | | | | | | | | | | | | | | | | | REDUCE: (360), (578) imply:
% 191.85/30.16 | | | | | | | | | | | | | | | | | (580) ~ (all_52_6 = e3)
% 191.85/30.16 | | | | | | | | | | | | | | | | |
% 191.85/30.16 | | | | | | | | | | | | | | | | | REDUCE: (363), (578) imply:
% 191.85/30.16 | | | | | | | | | | | | | | | | | (581) ~ (all_52_9 = e3)
% 191.85/30.16 | | | | | | | | | | | | | | | | |
% 191.85/30.16 | | | | | | | | | | | | | | | | | REDUCE: (365), (578) imply:
% 191.85/30.16 | | | | | | | | | | | | | | | | | (582) ~ (all_52_11 = e3)
% 191.85/30.16 | | | | | | | | | | | | | | | | |
% 191.85/30.16 | | | | | | | | | | | | | | | | | REDUCE: (367), (578) imply:
% 191.85/30.16 | | | | | | | | | | | | | | | | | (583) ~ (all_52_14 = e3)
% 191.85/30.16 | | | | | | | | | | | | | | | | |
% 191.85/30.16 | | | | | | | | | | | | | | | | | REDUCE: (36), (578) imply:
% 191.85/30.16 | | | | | | | | | | | | | | | | | (584) op(e1, e1) = e3
% 191.85/30.16 | | | | | | | | | | | | | | | | |
% 191.85/30.16 | | | | | | | | | | | | | | | | | BETA: splitting (106) gives:
% 191.85/30.16 | | | | | | | | | | | | | | | | |
% 191.85/30.16 | | | | | | | | | | | | | | | | | Case 1:
% 191.85/30.16 | | | | | | | | | | | | | | | | | |
% 191.85/30.16 | | | | | | | | | | | | | | | | | | (585) ~ (all_50_2 = e3)
% 191.85/30.16 | | | | | | | | | | | | | | | | | |
% 191.85/30.16 | | | | | | | | | | | | | | | | | | REDUCE: (579), (585) imply:
% 191.85/30.16 | | | | | | | | | | | | | | | | | | (586) $false
% 191.85/30.16 | | | | | | | | | | | | | | | | | |
% 191.85/30.16 | | | | | | | | | | | | | | | | | | CLOSE: (586) is inconsistent.
% 191.85/30.16 | | | | | | | | | | | | | | | | | |
% 191.85/30.16 | | | | | | | | | | | | | | | | | Case 2:
% 191.85/30.16 | | | | | | | | | | | | | | | | | |
% 191.85/30.16 | | | | | | | | | | | | | | | | | | (587) op(e3, e1) = all_50_1 & $i(all_50_1) & ( ~
% 191.85/30.16 | | | | | | | | | | | | | | | | | | (all_50_1 = e2) | ( ~ (all_50_0 = e0) & op(e2,
% 191.85/30.16 | | | | | | | | | | | | | | | | | | e3) = all_50_0 & $i(all_50_0)))
% 191.85/30.16 | | | | | | | | | | | | | | | | | |
% 191.85/30.16 | | | | | | | | | | | | | | | | | | ALPHA: (587) implies:
% 191.85/30.16 | | | | | | | | | | | | | | | | | | (588) op(e3, e1) = all_50_1
% 191.85/30.17 | | | | | | | | | | | | | | | | | | (589) ~ (all_50_1 = e2) | ( ~ (all_50_0 = e0) & op(e2,
% 191.85/30.17 | | | | | | | | | | | | | | | | | | e3) = all_50_0 & $i(all_50_0))
% 191.85/30.17 | | | | | | | | | | | | | | | | | |
% 191.85/30.17 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e2, all_50_1,
% 191.85/30.17 | | | | | | | | | | | | | | | | | | e1, e3, simplifying with (502), (588) gives:
% 191.85/30.17 | | | | | | | | | | | | | | | | | | (590) all_50_1 = e2
% 191.85/30.17 | | | | | | | | | | | | | | | | | |
% 191.85/30.17 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_32_1,
% 191.85/30.17 | | | | | | | | | | | | | | | | | | all_50_1, e1, e3, simplifying with (576), (588)
% 191.85/30.17 | | | | | | | | | | | | | | | | | | gives:
% 191.85/30.17 | | | | | | | | | | | | | | | | | | (591) all_50_1 = all_32_1
% 191.85/30.17 | | | | | | | | | | | | | | | | | |
% 191.85/30.17 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (590), (591) imply:
% 191.85/30.17 | | | | | | | | | | | | | | | | | | (592) all_32_1 = e2
% 191.85/30.17 | | | | | | | | | | | | | | | | | |
% 191.85/30.17 | | | | | | | | | | | | | | | | | | BETA: splitting (589) gives:
% 191.85/30.17 | | | | | | | | | | | | | | | | | |
% 191.85/30.17 | | | | | | | | | | | | | | | | | | Case 1:
% 191.85/30.17 | | | | | | | | | | | | | | | | | | |
% 191.85/30.17 | | | | | | | | | | | | | | | | | | | (593) ~ (all_50_1 = e2)
% 191.85/30.17 | | | | | | | | | | | | | | | | | | |
% 191.85/30.17 | | | | | | | | | | | | | | | | | | | REDUCE: (590), (593) imply:
% 191.85/30.17 | | | | | | | | | | | | | | | | | | | (594) $false
% 191.85/30.17 | | | | | | | | | | | | | | | | | | |
% 191.85/30.17 | | | | | | | | | | | | | | | | | | | CLOSE: (594) is inconsistent.
% 191.85/30.17 | | | | | | | | | | | | | | | | | | |
% 191.85/30.17 | | | | | | | | | | | | | | | | | | Case 2:
% 191.85/30.17 | | | | | | | | | | | | | | | | | | |
% 191.85/30.17 | | | | | | | | | | | | | | | | | | | (595) ~ (all_50_0 = e0) & op(e2, e3) = all_50_0 &
% 191.85/30.17 | | | | | | | | | | | | | | | | | | | $i(all_50_0)
% 191.85/30.17 | | | | | | | | | | | | | | | | | | |
% 191.85/30.17 | | | | | | | | | | | | | | | | | | | ALPHA: (595) implies:
% 191.85/30.17 | | | | | | | | | | | | | | | | | | | (596) ~ (all_50_0 = e0)
% 191.85/30.17 | | | | | | | | | | | | | | | | | | | (597) op(e2, e3) = all_50_0
% 191.85/30.17 | | | | | | | | | | | | | | | | | | |
% 191.85/30.17 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_1,
% 191.85/30.17 | | | | | | | | | | | | | | | | | | | all_50_0, e3, e2, simplifying with (167), (597)
% 191.85/30.17 | | | | | | | | | | | | | | | | | | | gives:
% 191.85/30.17 | | | | | | | | | | | | | | | | | | | (598) all_52_1 = all_50_0
% 191.85/30.17 | | | | | | | | | | | | | | | | | | |
% 191.85/30.17 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (269), (598) imply:
% 191.85/30.17 | | | | | | | | | | | | | | | | | | | (599) all_54_4 = all_50_0
% 191.85/30.17 | | | | | | | | | | | | | | | | | | |
% 191.85/30.17 | | | | | | | | | | | | | | | | | | | REDUCE: (146), (598) imply:
% 191.85/30.17 | | | | | | | | | | | | | | | | | | | (600) ~ (all_52_9 = all_50_0)
% 191.85/30.17 | | | | | | | | | | | | | | | | | | |
% 191.85/30.17 | | | | | | | | | | | | | | | | | | | SIMP: (600) implies:
% 191.85/30.17 | | | | | | | | | | | | | | | | | | | (601) ~ (all_52_9 = all_50_0)
% 191.85/30.17 | | | | | | | | | | | | | | | | | | |
% 191.85/30.17 | | | | | | | | | | | | | | | | | | | REDUCE: (337), (598) imply:
% 191.85/30.17 | | | | | | | | | | | | | | | | | | | (602) ~ (all_50_0 = all_14_2)
% 191.85/30.17 | | | | | | | | | | | | | | | | | | |
% 191.85/30.17 | | | | | | | | | | | | | | | | | | | REDUCE: (389), (598) imply:
% 191.85/30.17 | | | | | | | | | | | | | | | | | | | (603) ~ (all_50_0 = e2)
% 191.85/30.17 | | | | | | | | | | | | | | | | | | |
% 191.85/30.17 | | | | | | | | | | | | | | | | | | | BETA: splitting (82) gives:
% 191.85/30.17 | | | | | | | | | | | | | | | | | | |
% 191.85/30.17 | | | | | | | | | | | | | | | | | | | Case 1:
% 191.85/30.17 | | | | | | | | | | | | | | | | | | | |
% 191.85/30.17 | | | | | | | | | | | | | | | | | | | | (604) ~ (all_34_2 = e0)
% 191.85/30.17 | | | | | | | | | | | | | | | | | | | |
% 191.85/30.17 | | | | | | | | | | | | | | | | | | | | REDUCE: (313), (604) imply:
% 191.85/30.17 | | | | | | | | | | | | | | | | | | | | (605) ~ (all_14_2 = e0)
% 191.85/30.17 | | | | | | | | | | | | | | | | | | | |
% 191.85/30.17 | | | | | | | | | | | | | | | | | | | | BETA: splitting (204) gives:
% 191.85/30.17 | | | | | | | | | | | | | | | | | | | |
% 191.85/30.17 | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.85/30.17 | | | | | | | | | | | | | | | | | | | | |
% 191.85/30.17 | | | | | | | | | | | | | | | | | | | | | (606) all_54_0 = e3
% 191.85/30.17 | | | | | | | | | | | | | | | | | | | | |
% 191.85/30.17 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (279), (606) imply:
% 191.85/30.17 | | | | | | | | | | | | | | | | | | | | | (607) all_14_2 = e3
% 191.85/30.17 | | | | | | | | | | | | | | | | | | | | |
% 191.85/30.17 | | | | | | | | | | | | | | | | | | | | | SIMP: (607) implies:
% 191.85/30.17 | | | | | | | | | | | | | | | | | | | | | (608) all_14_2 = e3
% 191.85/30.17 | | | | | | | | | | | | | | | | | | | | |
% 191.85/30.17 | | | | | | | | | | | | | | | | | | | | | REDUCE: (343), (608) imply:
% 191.85/30.17 | | | | | | | | | | | | | | | | | | | | | (609) ~ (all_52_4 = e3)
% 191.85/30.17 | | | | | | | | | | | | | | | | | | | | |
% 191.85/30.17 | | | | | | | | | | | | | | | | | | | | | REDUCE: (602), (608) imply:
% 191.85/30.17 | | | | | | | | | | | | | | | | | | | | | (610) ~ (all_50_0 = e3)
% 191.85/30.17 | | | | | | | | | | | | | | | | | | | | |
% 191.85/30.17 | | | | | | | | | | | | | | | | | | | | | REDUCE: (51), (608) imply:
% 191.85/30.17 | | | | | | | | | | | | | | | | | | | | | (611) op(e3, e3) = e3
% 191.85/30.17 | | | | | | | | | | | | | | | | | | | | |
% 191.85/30.17 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (209) gives:
% 191.85/30.17 | | | | | | | | | | | | | | | | | | | | |
% 191.85/30.17 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.85/30.17 | | | | | | | | | | | | | | | | | | | | | |
% 191.85/30.17 | | | | | | | | | | | | | | | | | | | | | | (612) (all_56_12 = e3 & op(e0, e3) = e3) | (all_56_13 =
% 191.85/30.17 | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e2) = e3)
% 191.85/30.17 | | | | | | | | | | | | | | | | | | | | | |
% 191.85/30.17 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (612) gives:
% 191.85/30.17 | | | | | | | | | | | | | | | | | | | | | |
% 191.85/30.17 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.85/30.17 | | | | | | | | | | | | | | | | | | | | | | |
% 191.85/30.17 | | | | | | | | | | | | | | | | | | | | | | | (613) all_56_12 = e3 & op(e0, e3) = e3
% 191.85/30.17 | | | | | | | | | | | | | | | | | | | | | | |
% 191.85/30.17 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (613) implies:
% 191.85/30.17 | | | | | | | | | | | | | | | | | | | | | | | (614) all_56_12 = e3
% 191.85/30.17 | | | | | | | | | | | | | | | | | | | | | | | (615) op(e0, e3) = e3
% 191.85/30.17 | | | | | | | | | | | | | | | | | | | | | | |
% 191.85/30.17 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (229), (231), (496),
% 191.85/30.17 | | | | | | | | | | | | | | | | | | | | | | | (497), (611), (614), (615), (function-axioms) are
% 191.85/30.17 | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1874.
% 191.85/30.17 | | | | | | | | | | | | | | | | | | | | | | |
% 191.85/30.17 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.85/30.17 | | | | | | | | | | | | | | | | | | | | | | |
% 191.85/30.17 | | | | | | | | | | | | | | | | | | | | | | | (616) all_56_13 = e3 & op(e0, e2) = e3
% 191.85/30.17 | | | | | | | | | | | | | | | | | | | | | | |
% 191.85/30.17 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (616) implies:
% 191.85/30.17 | | | | | | | | | | | | | | | | | | | | | | | (617) all_56_13 = e3
% 191.85/30.17 | | | | | | | | | | | | | | | | | | | | | | |
% 191.85/30.17 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (200) gives:
% 191.85/30.17 | | | | | | | | | | | | | | | | | | | | | | |
% 191.85/30.17 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.85/30.17 | | | | | | | | | | | | | | | | | | | | | | | |
% 191.85/30.17 | | | | | | | | | | | | | | | | | | | | | | | | (618) all_54_4 = e3
% 191.85/30.17 | | | | | | | | | | | | | | | | | | | | | | | |
% 191.85/30.17 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (599), (618) imply:
% 191.85/30.17 | | | | | | | | | | | | | | | | | | | | | | | | (619) all_50_0 = e3
% 191.85/30.17 | | | | | | | | | | | | | | | | | | | | | | | |
% 191.85/30.17 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (610), (619) imply:
% 191.85/30.17 | | | | | | | | | | | | | | | | | | | | | | | | (620) $false
% 191.85/30.17 | | | | | | | | | | | | | | | | | | | | | | | |
% 191.85/30.17 | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (620) is inconsistent.
% 191.85/30.17 | | | | | | | | | | | | | | | | | | | | | | | |
% 191.85/30.17 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.85/30.17 | | | | | | | | | | | | | | | | | | | | | | | |
% 191.85/30.17 | | | | | | | | | | | | | | | | | | | | | | | | (621) ~ (all_54_4 = e3)
% 191.85/30.17 | | | | | | | | | | | | | | | | | | | | | | | | (622) all_54_4 = e2 | all_54_4 = e1 | all_54_4 = e0
% 191.85/30.17 | | | | | | | | | | | | | | | | | | | | | | | |
% 191.85/30.17 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (622) gives:
% 191.85/30.17 | | | | | | | | | | | | | | | | | | | | | | | |
% 191.85/30.17 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.85/30.17 | | | | | | | | | | | | | | | | | | | | | | | | |
% 191.85/30.17 | | | | | | | | | | | | | | | | | | | | | | | | | (623) all_54_4 = e2
% 191.85/30.17 | | | | | | | | | | | | | | | | | | | | | | | | |
% 191.85/30.17 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (599), (623) imply:
% 191.85/30.17 | | | | | | | | | | | | | | | | | | | | | | | | | (624) all_50_0 = e2
% 191.85/30.17 | | | | | | | | | | | | | | | | | | | | | | | | |
% 191.85/30.17 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (603), (624) imply:
% 191.85/30.17 | | | | | | | | | | | | | | | | | | | | | | | | | (625) $false
% 191.85/30.17 | | | | | | | | | | | | | | | | | | | | | | | | |
% 191.85/30.17 | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (625) is inconsistent.
% 191.85/30.17 | | | | | | | | | | | | | | | | | | | | | | | | |
% 191.85/30.17 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.85/30.17 | | | | | | | | | | | | | | | | | | | | | | | | |
% 191.85/30.17 | | | | | | | | | | | | | | | | | | | | | | | | | (626) ~ (all_54_4 = e2)
% 191.85/30.17 | | | | | | | | | | | | | | | | | | | | | | | | | (627) all_54_4 = e1 | all_54_4 = e0
% 191.85/30.17 | | | | | | | | | | | | | | | | | | | | | | | | |
% 191.85/30.17 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (224) gives:
% 191.85/30.17 | | | | | | | | | | | | | | | | | | | | | | | | |
% 191.85/30.17 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.85/30.17 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 191.85/30.17 | | | | | | | | | | | | | | | | | | | | | | | | | | (628) (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3
% 191.85/30.17 | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e3)
% 191.85/30.17 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 191.85/30.17 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (628) gives:
% 191.85/30.17 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 191.85/30.17 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.85/30.17 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 191.85/30.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | (629) all_56_2 = e3 & op(e2, e3) = e3
% 191.85/30.17 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 191.85/30.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (629) implies:
% 191.85/30.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | (630) all_56_2 = e3
% 191.85/30.17 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 191.85/30.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (231) gives:
% 191.85/30.17 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 191.85/30.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.85/30.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 191.85/30.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (631) (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_2 = e1
% 191.85/30.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e1)
% 191.85/30.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 191.85/30.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (631) gives:
% 191.85/30.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 191.85/30.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.85/30.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 191.85/30.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (632) all_56_0 = e1 & op(e3, e3) = e1
% 191.85/30.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 191.85/30.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (632) implies:
% 191.85/30.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (633) op(e3, e3) = e1
% 191.85/30.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 191.85/30.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (611), (633), (function-axioms) are
% 191.85/30.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1924.
% 191.85/30.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 191.85/30.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.85/30.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 191.85/30.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (634) all_56_2 = e1 & op(e2, e3) = e1
% 191.85/30.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 191.85/30.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (630), (634) are inconsistent by sub-proof
% 191.85/30.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1873.
% 191.85/30.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 191.85/30.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 191.85/30.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 191.85/30.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.85/30.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 191.85/30.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (635) (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_12 =
% 191.85/30.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e3) = e1)
% 191.85/30.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 191.85/30.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (635) gives:
% 191.85/30.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 191.85/30.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.85/30.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 191.85/30.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (636) all_56_6 = e1 & op(e1, e3) = e1
% 191.85/30.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 191.85/30.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (636) implies:
% 191.85/30.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (637) op(e1, e3) = e1
% 191.85/30.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 191.85/30.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (497), (637), (function-axioms) are
% 191.85/30.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1884.
% 191.85/30.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 191.85/30.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.85/30.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 191.85/30.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (638) all_56_12 = e1 & op(e0, e3) = e1
% 191.85/30.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 191.85/30.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (638) implies:
% 191.85/30.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (639) all_56_12 = e1
% 191.85/30.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 191.85/30.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (7), (165), (206), (218), (493), (501),
% 191.85/30.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (584), (596), (599), (601), (603), (610), (617),
% 191.85/30.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (627), (639), (function-axioms) are inconsistent
% 191.85/30.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1862.
% 191.85/30.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 191.85/30.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 191.85/30.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 191.85/30.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 191.85/30.17 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 191.85/30.17 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.85/30.17 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 191.85/30.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | (640) all_56_3 = e3 & op(e2, e2) = e3
% 191.85/30.17 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 191.85/30.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (640) implies:
% 191.85/30.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | (641) op(e2, e2) = e3
% 191.85/30.17 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 191.85/30.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (396), (641), (function-axioms) are
% 191.85/30.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1963.
% 191.85/30.17 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 191.85/30.17 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 191.85/30.17 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 191.85/30.17 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.85/30.17 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 191.85/30.17 | | | | | | | | | | | | | | | | | | | | | | | | | | (642) (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 =
% 191.85/30.17 | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e0) = e3)
% 191.85/30.17 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 191.85/30.17 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (642) gives:
% 191.85/30.17 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 191.85/30.17 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.85/30.17 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 191.85/30.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | (643) all_56_5 = e3 & op(e2, e1) = e3
% 191.85/30.17 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 191.85/30.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (643) implies:
% 191.85/30.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | (644) op(e2, e1) = e3
% 191.85/30.17 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 191.85/30.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (581), (644), (function-axioms) are
% 191.85/30.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1861.
% 191.85/30.17 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 191.85/30.17 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.85/30.17 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 191.85/30.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | (645) all_56_10 = e3 & op(e2, e0) = e3
% 191.85/30.17 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 191.85/30.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (645) implies:
% 191.85/30.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | (646) all_56_10 = e3
% 191.85/30.17 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 191.85/30.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (229) gives:
% 191.85/30.17 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 191.85/30.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.85/30.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 191.85/30.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (647) (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0
% 191.85/30.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e0)
% 191.85/30.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 191.85/30.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (647) gives:
% 191.85/30.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 191.85/30.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.85/30.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 191.85/30.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (648) all_56_0 = e0 & op(e3, e3) = e0
% 191.85/30.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 191.85/30.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (648) implies:
% 191.85/30.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (649) op(e3, e3) = e0
% 191.85/30.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 191.85/30.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (611), (649), (function-axioms) are
% 191.85/30.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1922.
% 191.85/30.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 191.85/30.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.85/30.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 191.85/30.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (650) all_56_2 = e0 & op(e2, e3) = e0
% 191.85/30.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 191.85/30.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (650) implies:
% 191.85/30.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (651) all_56_2 = e0
% 191.85/30.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 191.85/30.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (165), (206), (218),
% 191.85/30.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (231), (493), (497), (501), (584), (596), (599),
% 191.85/30.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (601), (603), (610), (611), (617), (627), (651),
% 191.85/30.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 191.85/30.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1858.
% 191.85/30.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 191.85/30.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 191.85/30.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 191.85/30.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.85/30.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 191.85/30.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (652) (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 =
% 191.85/30.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e3) = e0)
% 191.85/30.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 191.85/30.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (652) gives:
% 191.85/30.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 191.85/30.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.85/30.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 191.85/30.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (653) all_56_6 = e0 & op(e1, e3) = e0
% 191.85/30.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 191.85/30.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (653) implies:
% 191.85/30.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (654) all_56_6 = e0
% 191.85/30.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 191.85/30.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (496), (654) are inconsistent by sub-proof
% 191.85/30.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1857.
% 191.85/30.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 191.85/30.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.85/30.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 191.85/30.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (655) all_56_12 = e0 & op(e0, e3) = e0
% 191.85/30.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 191.85/30.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (655) implies:
% 191.85/30.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (656) op(e0, e3) = e0
% 191.85/30.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 191.85/30.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (627) gives:
% 191.85/30.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 191.85/30.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.85/30.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 191.85/30.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (657) all_54_4 = e1
% 191.85/30.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 191.85/30.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (599), (657) imply:
% 191.85/30.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (658) all_50_0 = e1
% 191.85/30.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 191.85/30.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (658) implies:
% 191.85/30.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (659) all_50_0 = e1
% 191.85/30.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 191.85/30.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (601), (659) imply:
% 191.85/30.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (660) ~ (all_52_9 = e1)
% 191.85/30.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 191.85/30.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (610), (659) imply:
% 191.85/30.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (661) ~ (e3 = e1)
% 191.85/30.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 191.85/30.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (603), (659) imply:
% 191.85/30.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (662) ~ (e2 = e1)
% 191.85/30.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 191.85/30.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (218) gives:
% 191.85/30.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 191.85/30.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.85/30.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 191.85/30.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (663) (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_5 = e1
% 191.85/30.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e1)
% 191.85/30.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 191.85/30.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (165), (501), (660), (663), (function-axioms)
% 191.85/30.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1870.
% 191.85/30.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 191.85/30.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.85/30.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 191.85/30.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (664) (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_14 =
% 191.85/30.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e1) = e1)
% 191.85/30.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 191.85/30.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (664) gives:
% 191.85/30.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 191.85/30.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.85/30.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 191.85/30.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (665) all_56_8 = e1 & op(e1, e1) = e1
% 191.85/30.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 191.85/30.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (665) implies:
% 191.85/30.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (666) op(e1, e1) = e1
% 191.85/30.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 191.85/30.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (584), (666), (function-axioms) are
% 191.85/30.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1958.
% 191.85/30.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 191.85/30.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.85/30.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 191.85/30.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (667) all_56_14 = e1 & op(e0, e1) = e1
% 191.85/30.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 191.85/30.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (667) implies:
% 191.85/30.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (668) op(e0, e1) = e1
% 191.85/30.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 191.85/30.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (221) gives:
% 191.85/30.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 191.85/30.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.85/30.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 191.85/30.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (669) (all_56_2 = e0 & op(e2, e3) = e0) | (all_56_3 = e0
% 191.85/30.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e0)
% 191.85/30.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 191.85/30.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (669) gives:
% 191.85/30.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 191.85/30.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.85/30.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 191.85/30.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (670) all_56_2 = e0 & op(e2, e3) = e0
% 191.85/30.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 191.85/30.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (670) implies:
% 191.85/30.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (671) all_56_2 = e0
% 191.85/30.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 191.85/30.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (165), (206), (218),
% 191.85/30.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (231), (493), (497), (501), (584), (596), (599),
% 191.85/30.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (601), (603), (610), (611), (617), (627), (671),
% 191.85/30.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 191.85/30.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1858.
% 191.85/30.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 191.85/30.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.85/30.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 191.85/30.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (672) all_56_3 = e0 & op(e2, e2) = e0
% 191.85/30.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 191.85/30.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (672) implies:
% 191.85/30.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (673) op(e2, e2) = e0
% 191.85/30.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 191.85/30.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (396), (673), (function-axioms) are
% 191.85/30.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1960.
% 191.85/30.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 191.85/30.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 191.85/30.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 191.85/30.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.85/30.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 191.85/30.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (674) (all_56_5 = e0 & op(e2, e1) = e0) | (all_56_10 =
% 191.85/30.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0)
% 191.85/30.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 191.85/30.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (674) gives:
% 191.85/30.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 191.85/30.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.85/30.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 191.85/30.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (675) all_56_5 = e0 & op(e2, e1) = e0
% 191.85/30.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 191.85/30.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (675) implies:
% 191.85/30.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (676) op(e2, e1) = e0
% 191.85/30.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 191.85/30.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (239) gives:
% 191.85/30.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 191.85/30.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.85/30.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 191.85/30.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (677) (all_57_1 = e2 & ~ (all_57_3 = e3) & ~ (all_57_8
% 191.85/30.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_10 = e2) & ~ (all_57_12 =
% 191.85/30.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_14 = e0) & op(e3, e3) = e2 &
% 191.85/30.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_3 & op(e2, all_57_9) =
% 191.85/30.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_8 & op(e2, all_57_11) = all_57_10 &
% 191.85/30.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_13) = all_57_12 & op(e2,
% 191.85/30.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15) = all_57_14 & op(e2, e3) = all_57_9
% 191.85/30.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = all_57_11 & op(e2, e1) =
% 191.85/30.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_13 & op(e2, e0) = all_57_15 &
% 191.85/30.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_3) & $i(all_57_8) & $i(all_57_9) &
% 191.85/30.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & $i(all_57_11) & $i(all_57_12) &
% 191.85/30.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13) & $i(all_57_14) & $i(all_57_15)) |
% 191.85/30.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e1 & ~ (all_57_5 = e3) & ~
% 191.85/30.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_16 = e3) & ~ (all_57_18 = e2) & ~
% 191.85/30.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_22 = e0) & op(e3,
% 191.85/30.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e1 & op(e3, e1) = all_57_5 & op(e1,
% 191.85/30.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17) = all_57_16 & op(e1, all_57_19) =
% 191.85/30.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_18 & op(e1, all_57_21) = all_57_20 &
% 191.85/30.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_23) = all_57_22 & op(e1, e3) =
% 191.85/30.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e1, e2) = all_57_19 & op(e1, e1)
% 191.85/30.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_21 & op(e1, e0) = all_57_23 &
% 191.85/30.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_16) & $i(all_57_17) &
% 191.85/30.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_19) & $i(all_57_20) &
% 191.85/30.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_22) & $i(all_57_23)) |
% 191.85/30.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e0 & ~ (all_57_7 = e3) & ~
% 191.85/30.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 191.85/30.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) & op(e3,
% 191.85/30.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e0 & op(e3, e0) = all_57_7 & op(e0,
% 191.85/30.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25) = all_57_24 & op(e0, all_57_27) =
% 191.85/30.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e0, all_57_29) = all_57_28 &
% 191.85/30.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_31) = all_57_30 & op(e0, e3) =
% 191.85/30.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_27 & op(e0, e1)
% 191.85/30.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_29 & op(e0, e0) = all_57_31 &
% 191.85/30.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7) & $i(all_57_24) & $i(all_57_25) &
% 191.85/30.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_27) & $i(all_57_28) &
% 191.85/30.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29) & $i(all_57_30) & $i(all_57_31)) |
% 191.85/30.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e3 & ~ (all_57_0 = e3) & ~
% 191.85/30.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e2) & ~ (all_57_4 = e1) & ~
% 191.85/30.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_6 = e0) & ~ (all_57_9 = e2) & op(e3,
% 191.85/30.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1) = all_57_0 & op(e3, all_57_3) =
% 191.85/30.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_2 & op(e3, all_57_5) = all_57_4 & op(e3,
% 191.85/30.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7) = all_57_6 & op(e3, e3) = all_57_1 &
% 191.85/30.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_3 & op(e3, e1) = all_57_5 &
% 191.85/30.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_7 & op(e2, e3) = all_57_9 &
% 191.85/30.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e3 & $i(all_57_0) & $i(all_57_1) &
% 191.85/30.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_2) & $i(all_57_3) & $i(all_57_4) &
% 191.85/30.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 191.85/30.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9))
% 191.85/30.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 191.85/30.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (677) gives:
% 191.85/30.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 191.85/30.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.85/30.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 191.85/30.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (678) (all_57_1 = e2 & ~ (all_57_3 = e3) & ~ (all_57_8
% 191.85/30.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_10 = e2) & ~ (all_57_12 =
% 191.85/30.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_14 = e0) & op(e3, e3) = e2 &
% 191.85/30.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_3 & op(e2, all_57_9) =
% 191.85/30.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_8 & op(e2, all_57_11) = all_57_10 &
% 191.85/30.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_13) = all_57_12 & op(e2,
% 191.85/30.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15) = all_57_14 & op(e2, e3) = all_57_9
% 191.85/30.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = all_57_11 & op(e2, e1) =
% 191.85/30.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_13 & op(e2, e0) = all_57_15 &
% 191.85/30.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_3) & $i(all_57_8) & $i(all_57_9) &
% 191.85/30.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & $i(all_57_11) & $i(all_57_12) &
% 191.85/30.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13) & $i(all_57_14) & $i(all_57_15)) |
% 191.85/30.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e1 & ~ (all_57_5 = e3) & ~
% 191.85/30.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_16 = e3) & ~ (all_57_18 = e2) & ~
% 191.85/30.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_22 = e0) & op(e3,
% 191.85/30.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e1 & op(e3, e1) = all_57_5 & op(e1,
% 191.85/30.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17) = all_57_16 & op(e1, all_57_19) =
% 191.85/30.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_18 & op(e1, all_57_21) = all_57_20 &
% 191.85/30.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_23) = all_57_22 & op(e1, e3) =
% 191.85/30.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e1, e2) = all_57_19 & op(e1, e1)
% 191.85/30.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_21 & op(e1, e0) = all_57_23 &
% 191.85/30.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_16) & $i(all_57_17) &
% 191.85/30.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_19) & $i(all_57_20) &
% 191.85/30.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_22) & $i(all_57_23))
% 191.85/30.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 191.85/30.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (51), (377), (611), (678), (function-axioms)
% 191.85/30.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1923.
% 191.85/30.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 191.85/30.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.85/30.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 191.85/30.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (679) (all_57_1 = e0 & ~ (all_57_7 = e3) & ~
% 191.85/30.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 191.85/30.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) & op(e3,
% 191.85/30.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e0 & op(e3, e0) = all_57_7 & op(e0,
% 191.85/30.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25) = all_57_24 & op(e0, all_57_27) =
% 191.85/30.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e0, all_57_29) = all_57_28 &
% 191.85/30.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_31) = all_57_30 & op(e0, e3) =
% 191.85/30.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_27 & op(e0, e1)
% 191.85/30.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_29 & op(e0, e0) = all_57_31 &
% 191.85/30.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7) & $i(all_57_24) & $i(all_57_25) &
% 191.85/30.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_27) & $i(all_57_28) &
% 191.85/30.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29) & $i(all_57_30) & $i(all_57_31)) |
% 191.85/30.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e3 & ~ (all_57_0 = e3) & ~
% 191.85/30.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e2) & ~ (all_57_4 = e1) & ~
% 191.85/30.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_6 = e0) & ~ (all_57_9 = e2) & op(e3,
% 191.85/30.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1) = all_57_0 & op(e3, all_57_3) =
% 191.85/30.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_2 & op(e3, all_57_5) = all_57_4 & op(e3,
% 191.85/30.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7) = all_57_6 & op(e3, e3) = all_57_1 &
% 191.85/30.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_3 & op(e3, e1) = all_57_5 &
% 191.85/30.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_7 & op(e2, e3) = all_57_9 &
% 191.85/30.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e3 & $i(all_57_0) & $i(all_57_1) &
% 191.85/30.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_2) & $i(all_57_3) & $i(all_57_4) &
% 191.85/30.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 191.85/30.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9))
% 191.85/30.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 191.85/30.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (679) gives:
% 191.85/30.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 191.85/30.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.85/30.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 191.85/30.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (680) all_57_1 = e0 & ~ (all_57_7 = e3) & ~ (all_57_24
% 191.85/30.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_26 = e2) & ~ (all_57_28 =
% 191.85/30.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_30 = e0) & op(e3, e3) = e0 &
% 191.85/30.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_7 & op(e0, all_57_25) =
% 191.85/30.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_24 & op(e0, all_57_27) = all_57_26 & op(e0,
% 191.85/30.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_29) = all_57_28 & op(e0, all_57_31) =
% 191.85/30.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30 & op(e0, e3) = all_57_25 & op(e0, e2) =
% 191.85/30.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27 & op(e0, e1) = all_57_29 & op(e0, e0) =
% 191.85/30.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_31 & $i(all_57_7) & $i(all_57_24) &
% 191.85/30.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_25) & $i(all_57_26) & $i(all_57_27) &
% 191.85/30.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28) & $i(all_57_29) & $i(all_57_30) &
% 191.85/30.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_31)
% 191.85/30.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 191.85/30.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (680) implies:
% 191.85/30.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (681) op(e3, e3) = e0
% 191.85/30.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 191.85/30.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (51), (159), (341), (656), (681),
% 191.85/30.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 191.85/30.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1937.
% 191.85/30.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 191.85/30.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.85/30.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 191.85/30.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (682) all_57_11 = e3 & ~ (all_57_0 = e3) & ~ (all_57_2
% 191.85/30.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2) & ~ (all_57_4 = e1) & ~ (all_57_6 = e0)
% 191.85/30.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_9 = e2) & op(e3, all_57_1) = all_57_0
% 191.85/30.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, all_57_3) = all_57_2 & op(e3, all_57_5) =
% 191.85/30.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_4 & op(e3, all_57_7) = all_57_6 & op(e3,
% 191.85/30.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_1 & op(e3, e2) = all_57_3 & op(e3,
% 191.85/30.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_5 & op(e3, e0) = all_57_7 & op(e2,
% 191.85/30.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_9 & op(e2, e2) = e3 & $i(all_57_0)
% 191.85/30.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_1) & $i(all_57_2) & $i(all_57_3) &
% 191.85/30.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4) & $i(all_57_5) & $i(all_57_6) &
% 191.85/30.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7) & $i(all_57_9)
% 191.85/30.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 191.85/30.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (682) implies:
% 191.85/30.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (683) op(e2, e2) = e3
% 191.85/30.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 191.85/30.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (396), (683), (function-axioms) are
% 191.85/30.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1963.
% 191.85/30.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 191.85/30.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 191.85/30.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 191.85/30.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 191.85/30.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 191.85/30.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.85/30.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 191.85/30.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (684) (all_57_11 = e1 & ~ (all_57_13 = e2) & ~
% 191.85/30.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_16 = e3) & ~ (all_57_18 = e2) & ~
% 191.85/30.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_22 = e0) & op(e2,
% 191.85/30.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e1 & op(e2, e1) = all_57_13 & op(e1,
% 191.85/30.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17) = all_57_16 & op(e1, all_57_19) =
% 191.85/30.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_18 & op(e1, all_57_21) = all_57_20 &
% 191.85/30.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_23) = all_57_22 & op(e1, e3) =
% 191.85/30.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e1, e2) = all_57_19 & op(e1, e1)
% 191.85/30.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_21 & op(e1, e0) = all_57_23 &
% 191.85/30.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13) & $i(all_57_16) & $i(all_57_17) &
% 191.85/30.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_19) & $i(all_57_20) &
% 191.85/30.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_22) & $i(all_57_23)) |
% 191.85/30.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e0 & ~ (all_57_15 = e2) & ~
% 191.85/30.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 191.85/30.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) & op(e2,
% 191.85/30.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e0 & op(e2, e0) = all_57_15 & op(e0,
% 191.85/30.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25) = all_57_24 & op(e0, all_57_27) =
% 191.85/30.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e0, all_57_29) = all_57_28 &
% 191.85/30.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_31) = all_57_30 & op(e0, e3) =
% 191.85/30.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_27 & op(e0, e1)
% 191.85/30.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_29 & op(e0, e0) = all_57_31 &
% 191.85/30.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & $i(all_57_24) & $i(all_57_25) &
% 191.85/30.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_27) & $i(all_57_28) &
% 191.85/30.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29) & $i(all_57_30) & $i(all_57_31)) |
% 191.85/30.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e3 & ~ (all_57_0 = e3) & ~
% 191.85/30.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e2) & ~ (all_57_4 = e1) & ~
% 191.85/30.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_6 = e0) & ~ (all_57_17 = e1) & op(e3,
% 191.85/30.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1) = all_57_0 & op(e3, all_57_3) =
% 191.85/30.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_2 & op(e3, all_57_5) = all_57_4 & op(e3,
% 191.85/30.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7) = all_57_6 & op(e3, e3) = all_57_1 &
% 191.85/30.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_3 & op(e3, e1) = all_57_5 &
% 191.85/30.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_7 & op(e1, e3) = all_57_17 &
% 191.85/30.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e3 & $i(all_57_0) & $i(all_57_1) &
% 191.85/30.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_2) & $i(all_57_3) & $i(all_57_4) &
% 191.85/30.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 191.85/30.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_17)) | (all_57_21 = e2 & ~ (all_57_8
% 191.85/30.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_10 = e2) & ~ (all_57_12 =
% 191.85/30.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_14 = e0) & ~ (all_57_19 =
% 191.85/30.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & op(e2, all_57_9) = all_57_8 & op(e2,
% 191.85/30.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_11) = all_57_10 & op(e2, all_57_13) =
% 191.85/30.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & op(e2, all_57_15) = all_57_14 &
% 191.85/30.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_9 & op(e2, e2) = all_57_11 &
% 191.85/30.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_57_13 & op(e2, e0) = all_57_15
% 191.85/30.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = all_57_19 & op(e1, e1) = e2 &
% 191.85/30.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8) & $i(all_57_9) & $i(all_57_10) &
% 191.85/30.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_12) & $i(all_57_13) &
% 191.85/30.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & $i(all_57_15) & $i(all_57_19)) |
% 191.85/30.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (op(e0, e0) = all_57_31 & $i(all_57_31) &
% 191.85/30.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_21 = e0 & ~ (all_57_23 = e1) & ~
% 191.85/30.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 191.85/30.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) &
% 191.85/30.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = all_57_23 &
% 191.85/30.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_25) = all_57_24 & op(e0,
% 191.85/30.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27) = all_57_26 & op(e0, all_57_29)
% 191.85/30.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_28 & op(e0, all_57_31) = all_57_30
% 191.85/30.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e3) = all_57_25 & op(e0, e2) =
% 191.85/30.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27 & op(e0, e1) = all_57_29 &
% 191.85/30.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23) & $i(all_57_24) &
% 191.85/30.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_25) & $i(all_57_26) &
% 191.85/30.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27) & $i(all_57_28) &
% 191.85/30.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29) & $i(all_57_30)) | (all_57_31
% 191.85/30.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & ~ (all_57_0 = e3) & ~ (all_57_2 =
% 191.85/30.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_4 = e1) & ~ (all_57_6 =
% 191.85/30.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_25 = e0) & op(e3,
% 191.85/30.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1) = all_57_0 & op(e3, all_57_3) =
% 191.85/30.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_2 & op(e3, all_57_5) = all_57_4 &
% 191.85/30.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, all_57_7) = all_57_6 & op(e3, e3) =
% 191.85/30.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e2) = all_57_3 & op(e3,
% 191.85/30.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_5 & op(e3, e0) = all_57_7 &
% 191.85/30.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_25 & $i(all_57_0) &
% 191.85/30.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_2) & $i(all_57_3) &
% 191.85/30.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4) & $i(all_57_5) & $i(all_57_6) &
% 191.85/30.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7) & $i(all_57_25)) | (all_57_31 =
% 191.85/30.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_8 = e3) & ~ (all_57_10 =
% 191.85/30.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_12 = e1) & ~ (all_57_14
% 191.85/30.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_27 = e0) & op(e2,
% 191.85/30.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_9) = all_57_8 & op(e2, all_57_11) =
% 191.85/30.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e2, all_57_13) = all_57_12 &
% 191.85/30.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_15) = all_57_14 & op(e2, e3) =
% 191.85/30.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_9 & op(e2, e2) = all_57_11 & op(e2,
% 191.85/30.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_13 & op(e2, e0) = all_57_15 &
% 191.85/30.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_27 & $i(all_57_8) &
% 191.85/30.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9) & $i(all_57_10) & $i(all_57_11)
% 191.85/30.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_12) & $i(all_57_13) &
% 191.85/30.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & $i(all_57_15) &
% 191.85/30.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27)) | (all_57_31 = e1 & ~
% 191.85/30.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_16 = e3) & ~ (all_57_18 = e2) & ~
% 191.85/30.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_22 = e0) & ~
% 191.85/30.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_29 = e0) & op(e1, all_57_17) =
% 191.85/30.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_16 & op(e1, all_57_19) = all_57_18 &
% 191.85/30.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_21) = all_57_20 & op(e1,
% 191.85/30.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23) = all_57_22 & op(e1, e3) =
% 191.85/30.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e1, e2) = all_57_19 & op(e1,
% 191.85/30.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_21 & op(e1, e0) = all_57_23 &
% 191.85/30.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = all_57_29 & $i(all_57_16) &
% 191.85/30.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_17) & $i(all_57_18) &
% 191.85/30.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_20) &
% 191.85/30.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_22) &
% 191.85/30.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23) & $i(all_57_29))))
% 191.85/30.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 191.85/30.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (684) gives:
% 191.85/30.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 191.85/30.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.85/30.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 191.85/30.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (685) (all_57_11 = e1 & ~ (all_57_13 = e2) & ~
% 191.85/30.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_16 = e3) & ~ (all_57_18 = e2) & ~
% 191.85/30.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_22 = e0) & op(e2,
% 191.85/30.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e1 & op(e2, e1) = all_57_13 & op(e1,
% 191.85/30.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17) = all_57_16 & op(e1, all_57_19) =
% 191.85/30.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_18 & op(e1, all_57_21) = all_57_20 &
% 191.85/30.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_23) = all_57_22 & op(e1, e3) =
% 191.85/30.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e1, e2) = all_57_19 & op(e1, e1)
% 191.85/30.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_21 & op(e1, e0) = all_57_23 &
% 191.85/30.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13) & $i(all_57_16) & $i(all_57_17) &
% 191.85/30.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_19) & $i(all_57_20) &
% 191.85/30.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_22) & $i(all_57_23)) |
% 191.85/30.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e0 & ~ (all_57_15 = e2) & ~
% 191.85/30.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 191.85/30.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) & op(e2,
% 191.85/30.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e0 & op(e2, e0) = all_57_15 & op(e0,
% 191.85/30.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25) = all_57_24 & op(e0, all_57_27) =
% 191.85/30.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e0, all_57_29) = all_57_28 &
% 191.85/30.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_31) = all_57_30 & op(e0, e3) =
% 191.85/30.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_27 & op(e0, e1)
% 191.85/30.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_29 & op(e0, e0) = all_57_31 &
% 191.85/30.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & $i(all_57_24) & $i(all_57_25) &
% 191.85/30.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_27) & $i(all_57_28) &
% 191.85/30.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29) & $i(all_57_30) & $i(all_57_31))
% 191.85/30.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 191.85/30.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (396), (668), (685), (function-axioms) are
% 191.85/30.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1855.
% 191.85/30.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 191.85/30.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.85/30.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 191.85/30.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (686) (all_57_21 = e3 & ~ (all_57_0 = e3) & ~
% 191.85/30.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e2) & ~ (all_57_4 = e1) & ~
% 191.85/30.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_6 = e0) & ~ (all_57_17 = e1) & op(e3,
% 191.85/30.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1) = all_57_0 & op(e3, all_57_3) =
% 191.85/30.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_2 & op(e3, all_57_5) = all_57_4 & op(e3,
% 191.85/30.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7) = all_57_6 & op(e3, e3) = all_57_1 &
% 191.85/30.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_3 & op(e3, e1) = all_57_5 &
% 191.85/30.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_7 & op(e1, e3) = all_57_17 &
% 191.85/30.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e3 & $i(all_57_0) & $i(all_57_1) &
% 191.85/30.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_2) & $i(all_57_3) & $i(all_57_4) &
% 191.85/30.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 191.85/30.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_17)) | (all_57_21 = e2 & ~ (all_57_8
% 191.85/30.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_10 = e2) & ~ (all_57_12 =
% 191.85/30.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_14 = e0) & ~ (all_57_19 =
% 191.85/30.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & op(e2, all_57_9) = all_57_8 & op(e2,
% 191.85/30.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_11) = all_57_10 & op(e2, all_57_13) =
% 191.85/30.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & op(e2, all_57_15) = all_57_14 &
% 191.85/30.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_9 & op(e2, e2) = all_57_11 &
% 191.85/30.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_57_13 & op(e2, e0) = all_57_15
% 191.85/30.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = all_57_19 & op(e1, e1) = e2 &
% 191.85/30.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8) & $i(all_57_9) & $i(all_57_10) &
% 191.85/30.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_12) & $i(all_57_13) &
% 191.85/30.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & $i(all_57_15) & $i(all_57_19)) |
% 191.85/30.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (op(e0, e0) = all_57_31 & $i(all_57_31) &
% 191.85/30.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_21 = e0 & ~ (all_57_23 = e1) & ~
% 191.85/30.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 191.85/30.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) &
% 191.85/30.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = all_57_23 &
% 191.85/30.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_25) = all_57_24 & op(e0,
% 191.85/30.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27) = all_57_26 & op(e0, all_57_29)
% 191.85/30.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_28 & op(e0, all_57_31) = all_57_30
% 191.85/30.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e3) = all_57_25 & op(e0, e2) =
% 191.85/30.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27 & op(e0, e1) = all_57_29 &
% 191.85/30.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23) & $i(all_57_24) &
% 191.85/30.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_25) & $i(all_57_26) &
% 191.85/30.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27) & $i(all_57_28) &
% 191.85/30.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29) & $i(all_57_30)) | (all_57_31
% 191.85/30.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & ~ (all_57_0 = e3) & ~ (all_57_2 =
% 191.85/30.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_4 = e1) & ~ (all_57_6 =
% 191.85/30.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_25 = e0) & op(e3,
% 191.85/30.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1) = all_57_0 & op(e3, all_57_3) =
% 191.85/30.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_2 & op(e3, all_57_5) = all_57_4 &
% 191.85/30.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, all_57_7) = all_57_6 & op(e3, e3) =
% 191.85/30.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e2) = all_57_3 & op(e3,
% 191.85/30.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_5 & op(e3, e0) = all_57_7 &
% 191.85/30.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_25 & $i(all_57_0) &
% 191.85/30.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_2) & $i(all_57_3) &
% 191.85/30.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4) & $i(all_57_5) & $i(all_57_6) &
% 191.85/30.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7) & $i(all_57_25)) | (all_57_31 =
% 191.85/30.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_8 = e3) & ~ (all_57_10 =
% 191.85/30.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_12 = e1) & ~ (all_57_14
% 191.85/30.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_27 = e0) & op(e2,
% 191.85/30.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_9) = all_57_8 & op(e2, all_57_11) =
% 191.85/30.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e2, all_57_13) = all_57_12 &
% 191.85/30.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_15) = all_57_14 & op(e2, e3) =
% 191.85/30.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_9 & op(e2, e2) = all_57_11 & op(e2,
% 191.85/30.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_13 & op(e2, e0) = all_57_15 &
% 191.85/30.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_27 & $i(all_57_8) &
% 191.85/30.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9) & $i(all_57_10) & $i(all_57_11)
% 191.85/30.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_12) & $i(all_57_13) &
% 191.85/30.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & $i(all_57_15) &
% 191.85/30.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27)) | (all_57_31 = e1 & ~
% 191.85/30.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_16 = e3) & ~ (all_57_18 = e2) & ~
% 191.85/30.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_22 = e0) & ~
% 191.85/30.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_29 = e0) & op(e1, all_57_17) =
% 191.85/30.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_16 & op(e1, all_57_19) = all_57_18 &
% 191.85/30.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_21) = all_57_20 & op(e1,
% 191.85/30.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23) = all_57_22 & op(e1, e3) =
% 191.85/30.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e1, e2) = all_57_19 & op(e1,
% 191.85/30.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_21 & op(e1, e0) = all_57_23 &
% 191.85/30.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = all_57_29 & $i(all_57_16) &
% 191.85/30.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_17) & $i(all_57_18) &
% 191.85/30.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_20) &
% 191.85/30.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_22) &
% 191.85/30.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23) & $i(all_57_29))))
% 191.85/30.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 191.85/30.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (686) gives:
% 191.85/30.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 191.85/30.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.85/30.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 191.85/30.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (687) all_57_21 = e3 & ~ (all_57_0 = e3) & ~ (all_57_2
% 191.85/30.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2) & ~ (all_57_4 = e1) & ~ (all_57_6 = e0)
% 191.85/30.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_17 = e1) & op(e3, all_57_1) =
% 191.85/30.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_0 & op(e3, all_57_3) = all_57_2 & op(e3,
% 191.85/30.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_5) = all_57_4 & op(e3, all_57_7) =
% 191.85/30.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_6 & op(e3, e3) = all_57_1 & op(e3, e2) =
% 191.85/30.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 & op(e3, e1) = all_57_5 & op(e3, e0) =
% 191.85/30.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7 & op(e1, e3) = all_57_17 & op(e1, e1) =
% 191.85/30.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & $i(all_57_0) & $i(all_57_1) & $i(all_57_2) &
% 191.85/30.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_3) & $i(all_57_4) & $i(all_57_5) &
% 191.85/30.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_6) & $i(all_57_7) & $i(all_57_17)
% 191.85/30.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 191.85/30.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (687) implies:
% 191.85/30.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (688) ~ (all_57_17 = e1)
% 191.85/30.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (689) op(e1, e3) = all_57_17
% 191.85/30.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (690) op(e3, e1) = all_57_5
% 191.85/30.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 191.85/30.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (238) gives:
% 191.85/30.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 191.85/30.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.85/30.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 191.85/30.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (691) (all_57_3 = e3 & ~ (all_57_1 = e2) & ~ (all_57_8
% 191.85/30.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_10 = e2) & ~ (all_57_12 =
% 191.85/30.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_14 = e0) & op(e3, e3) =
% 191.85/30.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e2) = e3 & op(e2, all_57_9) =
% 191.85/30.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_8 & op(e2, all_57_11) = all_57_10 &
% 191.85/30.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_13) = all_57_12 & op(e2,
% 191.85/30.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15) = all_57_14 & op(e2, e3) = all_57_9
% 191.85/30.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = all_57_11 & op(e2, e1) =
% 191.85/30.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_13 & op(e2, e0) = all_57_15 &
% 191.85/30.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_8) & $i(all_57_9) &
% 191.85/30.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & $i(all_57_11) & $i(all_57_12) &
% 191.85/30.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13) & $i(all_57_14) & $i(all_57_15)) |
% 191.85/30.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_5 = e3 & ~ (all_57_1 = e1) & ~
% 191.85/30.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_16 = e3) & ~ (all_57_18 = e2) & ~
% 191.85/30.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_22 = e0) & op(e3,
% 191.85/30.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_1 & op(e3, e1) = e3 & op(e1,
% 191.85/30.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17) = all_57_16 & op(e1, all_57_19) =
% 191.85/30.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_18 & op(e1, all_57_21) = all_57_20 &
% 191.85/30.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_23) = all_57_22 & op(e1, e3) =
% 191.85/30.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e1, e2) = all_57_19 & op(e1, e1)
% 191.85/30.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_21 & op(e1, e0) = all_57_23 &
% 191.85/30.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_16) & $i(all_57_17) &
% 191.85/30.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_19) & $i(all_57_20) &
% 191.85/30.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_22) & $i(all_57_23)) |
% 191.85/30.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_7 = e3 & ~ (all_57_1 = e0) & ~
% 191.85/30.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 191.85/30.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) & op(e3,
% 191.85/30.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_1 & op(e3, e0) = e3 & op(e0,
% 191.85/30.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25) = all_57_24 & op(e0, all_57_27) =
% 191.85/30.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e0, all_57_29) = all_57_28 &
% 191.85/30.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_31) = all_57_30 & op(e0, e3) =
% 191.85/30.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_27 & op(e0, e1)
% 191.85/30.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_29 & op(e0, e0) = all_57_31 &
% 191.85/30.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_24) & $i(all_57_25) &
% 191.85/30.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_27) & $i(all_57_28) &
% 191.85/30.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29) & $i(all_57_30) & $i(all_57_31)) |
% 191.85/30.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e2 & ~ (all_57_0 = e3) & ~ (all_57_2
% 191.85/30.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2) & ~ (all_57_4 = e1) & ~ (all_57_6 =
% 191.85/30.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_11 = e3) & op(e3, all_57_1) =
% 191.85/30.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_0 & op(e3, all_57_3) = all_57_2 & op(e3,
% 191.85/30.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_5) = all_57_4 & op(e3, all_57_7) =
% 191.85/30.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_6 & op(e3, e3) = all_57_1 & op(e3, e2) =
% 191.85/30.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 & op(e3, e1) = all_57_5 & op(e3, e0) =
% 191.85/30.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7 & op(e2, e3) = e2 & op(e2, e2) =
% 191.85/30.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_11 & $i(all_57_0) & $i(all_57_1) &
% 191.85/30.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_2) & $i(all_57_3) & $i(all_57_4) &
% 191.85/30.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 191.85/30.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11))
% 191.85/30.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 191.85/30.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (691) gives:
% 191.85/30.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 191.85/30.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.85/30.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 191.85/30.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (692) (all_57_3 = e3 & ~ (all_57_1 = e2) & ~ (all_57_8
% 191.85/30.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_10 = e2) & ~ (all_57_12 =
% 191.85/30.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_14 = e0) & op(e3, e3) =
% 191.85/30.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e2) = e3 & op(e2, all_57_9) =
% 191.85/30.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_8 & op(e2, all_57_11) = all_57_10 &
% 191.85/30.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_13) = all_57_12 & op(e2,
% 191.85/30.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15) = all_57_14 & op(e2, e3) = all_57_9
% 191.85/30.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = all_57_11 & op(e2, e1) =
% 191.85/30.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_13 & op(e2, e0) = all_57_15 &
% 191.85/30.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_8) & $i(all_57_9) &
% 191.85/30.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & $i(all_57_11) & $i(all_57_12) &
% 191.85/30.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13) & $i(all_57_14) & $i(all_57_15)) |
% 191.85/30.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_5 = e3 & ~ (all_57_1 = e1) & ~
% 191.85/30.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_16 = e3) & ~ (all_57_18 = e2) & ~
% 191.85/30.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_22 = e0) & op(e3,
% 191.85/30.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_1 & op(e3, e1) = e3 & op(e1,
% 191.85/30.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17) = all_57_16 & op(e1, all_57_19) =
% 191.85/30.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_18 & op(e1, all_57_21) = all_57_20 &
% 191.85/30.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_23) = all_57_22 & op(e1, e3) =
% 191.85/30.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e1, e2) = all_57_19 & op(e1, e1)
% 191.85/30.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_21 & op(e1, e0) = all_57_23 &
% 191.85/30.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_16) & $i(all_57_17) &
% 191.85/30.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_19) & $i(all_57_20) &
% 191.85/30.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_22) & $i(all_57_23))
% 191.85/30.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 191.85/30.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (692) gives:
% 191.85/30.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 191.85/30.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.85/30.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 191.85/30.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (693) all_57_3 = e3 & ~ (all_57_1 = e2) & ~ (all_57_8
% 191.85/30.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_10 = e2) & ~ (all_57_12 =
% 191.85/30.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_14 = e0) & op(e3, e3) =
% 191.85/30.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e2) = e3 & op(e2, all_57_9) =
% 191.85/30.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_8 & op(e2, all_57_11) = all_57_10 & op(e2,
% 191.85/30.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_13) = all_57_12 & op(e2, all_57_15) =
% 191.85/30.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_14 & op(e2, e3) = all_57_9 & op(e2, e2) =
% 191.85/30.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_11 & op(e2, e1) = all_57_13 & op(e2, e0) =
% 191.85/30.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15 & $i(all_57_1) & $i(all_57_8) &
% 191.85/30.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9) & $i(all_57_10) & $i(all_57_11) &
% 191.85/30.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & $i(all_57_13) & $i(all_57_14) &
% 191.85/30.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15)
% 191.85/30.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 191.85/30.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (693) implies:
% 191.85/30.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (694) op(e3, e2) = e3
% 191.85/30.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 191.85/30.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (170), (609), (694), (function-axioms) are
% 191.85/30.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1931.
% 191.85/30.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 191.85/30.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.85/30.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 191.85/30.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (695) all_57_5 = e3 & ~ (all_57_1 = e1) & ~ (all_57_16
% 191.85/30.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_18 = e2) & ~ (all_57_20 =
% 191.85/30.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_22 = e0) & op(e3, e3) =
% 191.85/30.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e1) = e3 & op(e1, all_57_17) =
% 191.85/30.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_16 & op(e1, all_57_19) = all_57_18 & op(e1,
% 191.85/30.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_21) = all_57_20 & op(e1, all_57_23) =
% 191.85/30.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_22 & op(e1, e3) = all_57_17 & op(e1, e2) =
% 191.85/30.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_19 & op(e1, e1) = all_57_21 & op(e1, e0) =
% 191.85/30.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23 & $i(all_57_1) & $i(all_57_16) &
% 191.85/30.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_17) & $i(all_57_18) & $i(all_57_19) &
% 191.85/30.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_20) & $i(all_57_21) & $i(all_57_22) &
% 191.85/30.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23)
% 191.85/30.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 191.85/30.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (695) implies:
% 191.85/30.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (696) all_57_5 = e3
% 191.85/30.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 191.85/30.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (690), (696) imply:
% 191.85/30.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (697) op(e3, e1) = e3
% 191.85/30.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 191.85/30.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (502), (697), (function-axioms) are
% 191.85/30.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1854.
% 191.85/30.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 191.85/30.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 191.85/30.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 191.85/30.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.85/30.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 191.85/30.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (698) (all_57_7 = e3 & ~ (all_57_1 = e0) & ~
% 191.85/30.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 191.85/30.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) & op(e3,
% 191.85/30.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_1 & op(e3, e0) = e3 & op(e0,
% 191.85/30.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25) = all_57_24 & op(e0, all_57_27) =
% 191.85/30.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e0, all_57_29) = all_57_28 &
% 191.85/30.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_31) = all_57_30 & op(e0, e3) =
% 191.85/30.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_27 & op(e0, e1)
% 191.85/30.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_29 & op(e0, e0) = all_57_31 &
% 191.85/30.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_24) & $i(all_57_25) &
% 191.85/30.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_27) & $i(all_57_28) &
% 191.85/30.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29) & $i(all_57_30) & $i(all_57_31)) |
% 191.85/30.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e2 & ~ (all_57_0 = e3) & ~ (all_57_2
% 191.85/30.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2) & ~ (all_57_4 = e1) & ~ (all_57_6 =
% 191.85/30.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_11 = e3) & op(e3, all_57_1) =
% 191.85/30.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_0 & op(e3, all_57_3) = all_57_2 & op(e3,
% 191.85/30.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_5) = all_57_4 & op(e3, all_57_7) =
% 191.85/30.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_6 & op(e3, e3) = all_57_1 & op(e3, e2) =
% 191.85/30.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 & op(e3, e1) = all_57_5 & op(e3, e0) =
% 191.85/30.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7 & op(e2, e3) = e2 & op(e2, e2) =
% 191.85/30.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_11 & $i(all_57_0) & $i(all_57_1) &
% 191.85/30.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_2) & $i(all_57_3) & $i(all_57_4) &
% 191.85/30.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 191.85/30.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11))
% 191.85/30.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 191.85/30.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (167), (389), (668), (698), (function-axioms) are
% 191.85/30.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1853.
% 191.85/30.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 191.85/30.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 191.85/30.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 191.85/30.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.85/30.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.35/30.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (699) (all_57_13 = e2 & ~ (all_57_11 = e1) & ~
% 192.35/30.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_16 = e3) & ~ (all_57_18 = e2) & ~
% 192.35/30.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_22 = e0) & op(e2,
% 192.35/30.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_11 & op(e2, e1) = e2 & op(e1,
% 192.35/30.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17) = all_57_16 & op(e1, all_57_19) =
% 192.35/30.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_18 & op(e1, all_57_21) = all_57_20 &
% 192.35/30.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_23) = all_57_22 & op(e1, e3) =
% 192.35/30.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e1, e2) = all_57_19 & op(e1, e1)
% 192.35/30.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_21 & op(e1, e0) = all_57_23 &
% 192.35/30.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_16) & $i(all_57_17) &
% 192.35/30.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_19) & $i(all_57_20) &
% 192.35/30.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_22) & $i(all_57_23)) |
% 192.35/30.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e2 & ~ (all_57_11 = e0) & ~
% 192.35/30.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 192.35/30.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) & op(e2,
% 192.35/30.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_11 & op(e2, e0) = e2 & op(e0,
% 192.35/30.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25) = all_57_24 & op(e0, all_57_27) =
% 192.35/30.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e0, all_57_29) = all_57_28 &
% 192.35/30.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_31) = all_57_30 & op(e0, e3) =
% 192.35/30.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_27 & op(e0, e1)
% 192.35/30.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_29 & op(e0, e0) = all_57_31 &
% 192.35/30.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_24) & $i(all_57_25) &
% 192.35/30.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_27) & $i(all_57_28) &
% 192.35/30.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29) & $i(all_57_30) & $i(all_57_31)) |
% 192.35/30.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_17 = e1 & ~ (all_57_0 = e3) & ~
% 192.35/30.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e2) & ~ (all_57_4 = e1) & ~
% 192.35/30.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_6 = e0) & ~ (all_57_21 = e3) & op(e3,
% 192.35/30.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1) = all_57_0 & op(e3, all_57_3) =
% 192.35/30.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_2 & op(e3, all_57_5) = all_57_4 & op(e3,
% 192.35/30.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7) = all_57_6 & op(e3, e3) = all_57_1 &
% 192.35/30.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_3 & op(e3, e1) = all_57_5 &
% 192.35/30.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_7 & op(e1, e3) = e1 & op(e1,
% 192.35/30.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_21 & $i(all_57_0) & $i(all_57_1)
% 192.35/30.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_2) & $i(all_57_3) & $i(all_57_4) &
% 192.35/30.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 192.35/30.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21)) | (all_57_19 = e1 & ~ (all_57_8
% 192.35/30.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_10 = e2) & ~ (all_57_12 =
% 192.35/30.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_14 = e0) & ~ (all_57_21 =
% 192.35/30.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & op(e2, all_57_9) = all_57_8 & op(e2,
% 192.35/30.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_11) = all_57_10 & op(e2, all_57_13) =
% 192.35/30.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & op(e2, all_57_15) = all_57_14 &
% 192.35/30.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_9 & op(e2, e2) = all_57_11 &
% 192.35/30.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_57_13 & op(e2, e0) = all_57_15
% 192.35/30.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e1 & op(e1, e1) = all_57_21 &
% 192.35/30.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8) & $i(all_57_9) & $i(all_57_10) &
% 192.35/30.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_12) & $i(all_57_13) &
% 192.35/30.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & $i(all_57_15) & $i(all_57_21)) |
% 192.35/30.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (op(e0, e0) = all_57_31 & $i(all_57_31) &
% 192.35/30.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_23 = e1 & ~ (all_57_21 = e0) & ~
% 192.35/30.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 192.35/30.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) &
% 192.35/30.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_21 & op(e1, e0) = e1 &
% 192.35/30.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_25) = all_57_24 & op(e0,
% 192.35/30.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27) = all_57_26 & op(e0, all_57_29)
% 192.35/30.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_28 & op(e0, all_57_31) = all_57_30
% 192.35/30.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e3) = all_57_25 & op(e0, e2) =
% 192.35/30.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27 & op(e0, e1) = all_57_29 &
% 192.35/30.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_24) &
% 192.35/30.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_25) & $i(all_57_26) &
% 192.35/30.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27) & $i(all_57_28) &
% 192.35/30.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29) & $i(all_57_30)) | (all_57_25
% 192.35/30.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & ~ (all_57_0 = e3) & ~ (all_57_2 =
% 192.35/30.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_4 = e1) & ~ (all_57_6 =
% 192.35/30.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_31 = e3) & op(e3,
% 192.35/30.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1) = all_57_0 & op(e3, all_57_3) =
% 192.35/30.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_2 & op(e3, all_57_5) = all_57_4 &
% 192.35/30.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, all_57_7) = all_57_6 & op(e3, e3) =
% 192.35/30.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e2) = all_57_3 & op(e3,
% 192.35/30.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_5 & op(e3, e0) = all_57_7 &
% 192.35/30.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_0) &
% 192.35/30.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_2) & $i(all_57_3) &
% 192.35/30.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4) & $i(all_57_5) & $i(all_57_6) &
% 192.35/30.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7)) | (all_57_27 = e0 & ~
% 192.35/30.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e3) & ~ (all_57_10 = e2) & ~
% 192.35/30.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e1) & ~ (all_57_14 = e0) & ~
% 192.35/30.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e2) & op(e2, all_57_9) =
% 192.35/30.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_8 & op(e2, all_57_11) = all_57_10 &
% 192.35/30.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_13) = all_57_12 & op(e2,
% 192.35/30.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15) = all_57_14 & op(e2, e3) =
% 192.35/30.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_9 & op(e2, e2) = all_57_11 & op(e2,
% 192.35/30.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_13 & op(e2, e0) = all_57_15 &
% 192.35/30.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_8) &
% 192.35/30.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9) & $i(all_57_10) & $i(all_57_11)
% 192.35/30.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_12) & $i(all_57_13) &
% 192.35/30.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & $i(all_57_15)) | (all_57_29
% 192.35/30.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & ~ (all_57_16 = e3) & ~ (all_57_18 =
% 192.35/30.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_20 = e1) & ~ (all_57_22
% 192.35/30.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_31 = e1) & op(e1,
% 192.35/30.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17) = all_57_16 & op(e1, all_57_19)
% 192.35/30.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_18 & op(e1, all_57_21) = all_57_20
% 192.35/30.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, all_57_23) = all_57_22 & op(e1, e3)
% 192.35/30.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_17 & op(e1, e2) = all_57_19 &
% 192.35/30.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_21 & op(e1, e0) =
% 192.35/30.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23 & op(e0, e1) = e0 & $i(all_57_16)
% 192.35/30.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_17) & $i(all_57_18) &
% 192.35/30.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_20) &
% 192.35/30.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_22) &
% 192.35/30.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23))))
% 192.35/30.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.35/30.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (699) gives:
% 192.35/30.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.35/30.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.35/30.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.35/30.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (700) (all_57_13 = e2 & ~ (all_57_11 = e1) & ~
% 192.35/30.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_16 = e3) & ~ (all_57_18 = e2) & ~
% 192.35/30.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_22 = e0) & op(e2,
% 192.35/30.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_11 & op(e2, e1) = e2 & op(e1,
% 192.35/30.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17) = all_57_16 & op(e1, all_57_19) =
% 192.35/30.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_18 & op(e1, all_57_21) = all_57_20 &
% 192.35/30.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_23) = all_57_22 & op(e1, e3) =
% 192.35/30.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e1, e2) = all_57_19 & op(e1, e1)
% 192.35/30.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_21 & op(e1, e0) = all_57_23 &
% 192.35/30.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_16) & $i(all_57_17) &
% 192.35/30.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_19) & $i(all_57_20) &
% 192.35/30.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_22) & $i(all_57_23)) |
% 192.35/30.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e2 & ~ (all_57_11 = e0) & ~
% 192.35/30.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 192.35/30.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) & op(e2,
% 192.35/30.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_11 & op(e2, e0) = e2 & op(e0,
% 192.35/30.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25) = all_57_24 & op(e0, all_57_27) =
% 192.35/30.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e0, all_57_29) = all_57_28 &
% 192.35/30.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_31) = all_57_30 & op(e0, e3) =
% 192.35/30.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_27 & op(e0, e1)
% 192.35/30.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_29 & op(e0, e0) = all_57_31 &
% 192.35/30.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_24) & $i(all_57_25) &
% 192.35/30.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_27) & $i(all_57_28) &
% 192.35/30.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29) & $i(all_57_30) & $i(all_57_31))
% 192.35/30.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.35/30.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (668), (676), (700), (function-axioms) are
% 192.35/30.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1851.
% 192.35/30.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.35/30.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.35/30.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.35/30.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (701) (all_57_17 = e1 & ~ (all_57_0 = e3) & ~
% 192.35/30.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e2) & ~ (all_57_4 = e1) & ~
% 192.35/30.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_6 = e0) & ~ (all_57_21 = e3) & op(e3,
% 192.35/30.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1) = all_57_0 & op(e3, all_57_3) =
% 192.35/30.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_2 & op(e3, all_57_5) = all_57_4 & op(e3,
% 192.35/30.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7) = all_57_6 & op(e3, e3) = all_57_1 &
% 192.35/30.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_3 & op(e3, e1) = all_57_5 &
% 192.35/30.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_7 & op(e1, e3) = e1 & op(e1,
% 192.35/30.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_21 & $i(all_57_0) & $i(all_57_1)
% 192.35/30.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_2) & $i(all_57_3) & $i(all_57_4) &
% 192.35/30.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 192.35/30.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21)) | (all_57_19 = e1 & ~ (all_57_8
% 192.35/30.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_10 = e2) & ~ (all_57_12 =
% 192.35/30.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_14 = e0) & ~ (all_57_21 =
% 192.35/30.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & op(e2, all_57_9) = all_57_8 & op(e2,
% 192.35/30.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_11) = all_57_10 & op(e2, all_57_13) =
% 192.35/30.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & op(e2, all_57_15) = all_57_14 &
% 192.35/30.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_9 & op(e2, e2) = all_57_11 &
% 192.35/30.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_57_13 & op(e2, e0) = all_57_15
% 192.35/30.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e1 & op(e1, e1) = all_57_21 &
% 192.35/30.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8) & $i(all_57_9) & $i(all_57_10) &
% 192.35/30.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_12) & $i(all_57_13) &
% 192.35/30.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & $i(all_57_15) & $i(all_57_21)) |
% 192.35/30.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (op(e0, e0) = all_57_31 & $i(all_57_31) &
% 192.35/30.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_23 = e1 & ~ (all_57_21 = e0) & ~
% 192.35/30.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 192.35/30.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) &
% 192.35/30.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_21 & op(e1, e0) = e1 &
% 192.35/30.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_25) = all_57_24 & op(e0,
% 192.35/30.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27) = all_57_26 & op(e0, all_57_29)
% 192.35/30.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_28 & op(e0, all_57_31) = all_57_30
% 192.35/30.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e3) = all_57_25 & op(e0, e2) =
% 192.35/30.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27 & op(e0, e1) = all_57_29 &
% 192.35/30.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_24) &
% 192.35/30.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_25) & $i(all_57_26) &
% 192.35/30.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27) & $i(all_57_28) &
% 192.35/30.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29) & $i(all_57_30)) | (all_57_25
% 192.35/30.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & ~ (all_57_0 = e3) & ~ (all_57_2 =
% 192.35/30.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_4 = e1) & ~ (all_57_6 =
% 192.35/30.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_31 = e3) & op(e3,
% 192.35/30.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1) = all_57_0 & op(e3, all_57_3) =
% 192.35/30.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_2 & op(e3, all_57_5) = all_57_4 &
% 192.35/30.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, all_57_7) = all_57_6 & op(e3, e3) =
% 192.35/30.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e2) = all_57_3 & op(e3,
% 192.35/30.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_5 & op(e3, e0) = all_57_7 &
% 192.35/30.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_0) &
% 192.35/30.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_2) & $i(all_57_3) &
% 192.35/30.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4) & $i(all_57_5) & $i(all_57_6) &
% 192.35/30.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7)) | (all_57_27 = e0 & ~
% 192.35/30.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e3) & ~ (all_57_10 = e2) & ~
% 192.35/30.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e1) & ~ (all_57_14 = e0) & ~
% 192.35/30.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e2) & op(e2, all_57_9) =
% 192.35/30.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_8 & op(e2, all_57_11) = all_57_10 &
% 192.35/30.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_13) = all_57_12 & op(e2,
% 192.35/30.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15) = all_57_14 & op(e2, e3) =
% 192.35/30.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_9 & op(e2, e2) = all_57_11 & op(e2,
% 192.35/30.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_13 & op(e2, e0) = all_57_15 &
% 192.35/30.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_8) &
% 192.35/30.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9) & $i(all_57_10) & $i(all_57_11)
% 192.35/30.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_12) & $i(all_57_13) &
% 192.35/30.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & $i(all_57_15)) | (all_57_29
% 192.35/30.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & ~ (all_57_16 = e3) & ~ (all_57_18 =
% 192.35/30.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_20 = e1) & ~ (all_57_22
% 192.35/30.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_31 = e1) & op(e1,
% 192.35/30.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17) = all_57_16 & op(e1, all_57_19)
% 192.35/30.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_18 & op(e1, all_57_21) = all_57_20
% 192.35/30.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, all_57_23) = all_57_22 & op(e1, e3)
% 192.35/30.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_17 & op(e1, e2) = all_57_19 &
% 192.35/30.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_21 & op(e1, e0) =
% 192.35/30.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23 & op(e0, e1) = e0 & $i(all_57_16)
% 192.35/30.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_17) & $i(all_57_18) &
% 192.35/30.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_20) &
% 192.35/30.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_22) &
% 192.35/30.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23))))
% 192.35/30.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.35/30.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (701) gives:
% 192.35/30.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.35/30.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.35/30.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.35/30.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (702) all_57_17 = e1 & ~ (all_57_0 = e3) & ~ (all_57_2
% 192.35/30.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2) & ~ (all_57_4 = e1) & ~ (all_57_6 = e0)
% 192.35/30.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_21 = e3) & op(e3, all_57_1) =
% 192.35/30.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_0 & op(e3, all_57_3) = all_57_2 & op(e3,
% 192.35/30.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_5) = all_57_4 & op(e3, all_57_7) =
% 192.35/30.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_6 & op(e3, e3) = all_57_1 & op(e3, e2) =
% 192.35/30.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 & op(e3, e1) = all_57_5 & op(e3, e0) =
% 192.35/30.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7 & op(e1, e3) = e1 & op(e1, e1) =
% 192.35/30.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_21 & $i(all_57_0) & $i(all_57_1) &
% 192.35/30.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_2) & $i(all_57_3) & $i(all_57_4) &
% 192.35/30.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 192.35/30.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21)
% 192.35/30.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.35/30.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (702) implies:
% 192.35/30.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (703) op(e1, e3) = e1
% 192.35/30.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.35/30.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (688), (689), (703), (function-axioms) are
% 192.35/30.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1850.
% 192.35/30.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.35/30.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.35/30.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.35/30.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (704) (all_57_19 = e1 & ~ (all_57_8 = e3) & ~
% 192.35/30.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e2) & ~ (all_57_12 = e1) & ~
% 192.35/30.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e0) & ~ (all_57_21 = e2) & op(e2,
% 192.35/30.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_9) = all_57_8 & op(e2, all_57_11) =
% 192.35/30.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e2, all_57_13) = all_57_12 &
% 192.35/30.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_15) = all_57_14 & op(e2, e3) =
% 192.35/30.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_9 & op(e2, e2) = all_57_11 & op(e2, e1) =
% 192.35/30.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_13 & op(e2, e0) = all_57_15 & op(e1, e2)
% 192.35/30.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & op(e1, e1) = all_57_21 & $i(all_57_8) &
% 192.35/30.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9) & $i(all_57_10) & $i(all_57_11) &
% 192.35/30.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & $i(all_57_13) & $i(all_57_14) &
% 192.35/30.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & $i(all_57_21)) | (op(e0, e0) =
% 192.35/30.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_31 & $i(all_57_31) & ((all_57_23 = e1 &
% 192.35/30.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_21 = e0) & ~ (all_57_24 = e3) &
% 192.35/30.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_26 = e2) & ~ (all_57_28 = e1) &
% 192.35/30.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_30 = e0) & op(e1, e1) = all_57_21
% 192.35/30.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e0) = e1 & op(e0, all_57_25) =
% 192.35/30.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_24 & op(e0, all_57_27) = all_57_26 &
% 192.35/30.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_29) = all_57_28 & op(e0,
% 192.35/30.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_31) = all_57_30 & op(e0, e3) =
% 192.35/30.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_27 & op(e0,
% 192.35/30.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_29 & $i(all_57_21) &
% 192.35/30.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_24) & $i(all_57_25) &
% 192.35/30.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_27) &
% 192.35/30.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28) & $i(all_57_29) &
% 192.35/30.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_25 = e0 & ~
% 192.35/30.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_0 = e3) & ~ (all_57_2 = e2) & ~
% 192.35/30.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1) & ~ (all_57_6 = e0) & ~
% 192.35/30.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e3) & op(e3, all_57_1) =
% 192.35/30.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_0 & op(e3, all_57_3) = all_57_2 &
% 192.35/30.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, all_57_5) = all_57_4 & op(e3,
% 192.35/30.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7) = all_57_6 & op(e3, e3) =
% 192.35/30.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e2) = all_57_3 & op(e3,
% 192.35/30.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_5 & op(e3, e0) = all_57_7 &
% 192.35/30.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_0) &
% 192.35/30.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_2) & $i(all_57_3) &
% 192.35/30.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4) & $i(all_57_5) & $i(all_57_6) &
% 192.35/30.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7)) | (all_57_27 = e0 & ~
% 192.35/30.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e3) & ~ (all_57_10 = e2) & ~
% 192.35/30.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e1) & ~ (all_57_14 = e0) & ~
% 192.35/30.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e2) & op(e2, all_57_9) =
% 192.35/30.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_8 & op(e2, all_57_11) = all_57_10 &
% 192.35/30.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_13) = all_57_12 & op(e2,
% 192.35/30.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15) = all_57_14 & op(e2, e3) =
% 192.35/30.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_9 & op(e2, e2) = all_57_11 & op(e2,
% 192.35/30.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_13 & op(e2, e0) = all_57_15 &
% 192.35/30.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_8) &
% 192.35/30.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9) & $i(all_57_10) & $i(all_57_11)
% 192.35/30.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_12) & $i(all_57_13) &
% 192.35/30.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & $i(all_57_15)) | (all_57_29
% 192.35/30.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & ~ (all_57_16 = e3) & ~ (all_57_18 =
% 192.35/30.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_20 = e1) & ~ (all_57_22
% 192.35/30.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_31 = e1) & op(e1,
% 192.35/30.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17) = all_57_16 & op(e1, all_57_19)
% 192.35/30.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_18 & op(e1, all_57_21) = all_57_20
% 192.35/30.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, all_57_23) = all_57_22 & op(e1, e3)
% 192.35/30.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_17 & op(e1, e2) = all_57_19 &
% 192.35/30.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_21 & op(e1, e0) =
% 192.35/30.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23 & op(e0, e1) = e0 & $i(all_57_16)
% 192.35/30.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_17) & $i(all_57_18) &
% 192.35/30.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_20) &
% 192.35/30.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_22) &
% 192.35/30.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23))))
% 192.35/30.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.35/30.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (7), (8), (9), (45), (51), (158), (160),
% 192.35/30.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (162), (170), (227), (239), (371), (377), (390),
% 192.35/30.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (391), (392), (396), (584), (611), (704),
% 192.35/30.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 192.35/30.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1907.
% 192.35/30.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.35/30.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.35/30.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.35/30.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.35/30.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.35/30.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.35/30.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.35/30.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.35/30.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.35/30.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (705) (all_57_21 = e2 & ~ (all_57_8 = e3) & ~
% 192.35/30.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e2) & ~ (all_57_12 = e1) & ~
% 192.35/30.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e0) & ~ (all_57_19 = e1) & op(e2,
% 192.35/30.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_9) = all_57_8 & op(e2, all_57_11) =
% 192.35/30.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e2, all_57_13) = all_57_12 &
% 192.35/30.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_15) = all_57_14 & op(e2, e3) =
% 192.35/30.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_9 & op(e2, e2) = all_57_11 & op(e2, e1) =
% 192.35/30.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_13 & op(e2, e0) = all_57_15 & op(e1, e2)
% 192.35/30.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_19 & op(e1, e1) = e2 & $i(all_57_8) &
% 192.35/30.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9) & $i(all_57_10) & $i(all_57_11) &
% 192.35/30.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & $i(all_57_13) & $i(all_57_14) &
% 192.35/30.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & $i(all_57_19)) | (op(e0, e0) =
% 192.35/30.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_31 & $i(all_57_31) & ((all_57_21 = e0 &
% 192.35/30.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_23 = e1) & ~ (all_57_24 = e3) &
% 192.35/30.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_26 = e2) & ~ (all_57_28 = e1) &
% 192.35/30.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_30 = e0) & op(e1, e1) = e0 &
% 192.35/30.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_23 & op(e0, all_57_25) =
% 192.35/30.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_24 & op(e0, all_57_27) = all_57_26 &
% 192.35/30.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_29) = all_57_28 & op(e0,
% 192.35/30.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_31) = all_57_30 & op(e0, e3) =
% 192.35/30.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_27 & op(e0,
% 192.35/30.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_29 & $i(all_57_23) &
% 192.35/30.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_24) & $i(all_57_25) &
% 192.35/30.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_27) &
% 192.35/30.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28) & $i(all_57_29) &
% 192.35/30.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_31 = e3 & ~
% 192.35/30.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_0 = e3) & ~ (all_57_2 = e2) & ~
% 192.35/30.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1) & ~ (all_57_6 = e0) & ~
% 192.35/30.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_25 = e0) & op(e3, all_57_1) =
% 192.35/30.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_0 & op(e3, all_57_3) = all_57_2 &
% 192.35/30.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, all_57_5) = all_57_4 & op(e3,
% 192.35/30.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7) = all_57_6 & op(e3, e3) =
% 192.35/30.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e2) = all_57_3 & op(e3,
% 192.35/30.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_5 & op(e3, e0) = all_57_7 &
% 192.35/30.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_25 & $i(all_57_0) &
% 192.35/30.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_2) & $i(all_57_3) &
% 192.35/30.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4) & $i(all_57_5) & $i(all_57_6) &
% 192.35/30.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7) & $i(all_57_25)) | (all_57_31 =
% 192.35/30.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_8 = e3) & ~ (all_57_10 =
% 192.35/30.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_12 = e1) & ~ (all_57_14
% 192.35/30.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_27 = e0) & op(e2,
% 192.35/30.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_9) = all_57_8 & op(e2, all_57_11) =
% 192.35/30.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e2, all_57_13) = all_57_12 &
% 192.35/30.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_15) = all_57_14 & op(e2, e3) =
% 192.35/30.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_9 & op(e2, e2) = all_57_11 & op(e2,
% 192.35/30.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_13 & op(e2, e0) = all_57_15 &
% 192.35/30.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_27 & $i(all_57_8) &
% 192.35/30.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9) & $i(all_57_10) & $i(all_57_11)
% 192.35/30.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_12) & $i(all_57_13) &
% 192.35/30.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & $i(all_57_15) &
% 192.35/30.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27)) | (all_57_31 = e1 & ~
% 192.35/30.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_16 = e3) & ~ (all_57_18 = e2) & ~
% 192.35/30.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_22 = e0) & ~
% 192.35/30.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_29 = e0) & op(e1, all_57_17) =
% 192.35/30.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_16 & op(e1, all_57_19) = all_57_18 &
% 192.35/30.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_21) = all_57_20 & op(e1,
% 192.35/30.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23) = all_57_22 & op(e1, e3) =
% 192.35/30.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e1, e2) = all_57_19 & op(e1,
% 192.35/30.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_21 & op(e1, e0) = all_57_23 &
% 192.35/30.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = all_57_29 & $i(all_57_16) &
% 192.35/30.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_17) & $i(all_57_18) &
% 192.35/30.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_20) &
% 192.35/30.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_22) &
% 192.35/30.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23) & $i(all_57_29))))
% 192.35/30.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.35/30.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (705) gives:
% 192.35/30.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.35/30.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.35/30.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.35/30.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (706) all_57_21 = e2 & ~ (all_57_8 = e3) & ~
% 192.35/30.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e2) & ~ (all_57_12 = e1) & ~
% 192.35/30.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e0) & ~ (all_57_19 = e1) & op(e2,
% 192.35/30.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_9) = all_57_8 & op(e2, all_57_11) =
% 192.35/30.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e2, all_57_13) = all_57_12 & op(e2,
% 192.35/30.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15) = all_57_14 & op(e2, e3) = all_57_9 &
% 192.35/30.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_11 & op(e2, e1) = all_57_13 &
% 192.35/30.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_15 & op(e1, e2) = all_57_19 &
% 192.35/30.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e2 & $i(all_57_8) & $i(all_57_9) &
% 192.35/30.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & $i(all_57_11) & $i(all_57_12) &
% 192.35/30.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13) & $i(all_57_14) & $i(all_57_15) &
% 192.35/30.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19)
% 192.35/30.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.35/30.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (706) implies:
% 192.35/30.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (707) op(e1, e1) = e2
% 192.35/30.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.35/30.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (584), (707), (function-axioms) are
% 192.35/30.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1919.
% 192.35/30.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.35/30.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.35/30.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.35/30.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (708) op(e0, e0) = all_57_31 & $i(all_57_31) &
% 192.35/30.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_21 = e0 & ~ (all_57_23 = e1) & ~
% 192.35/30.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 192.35/30.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) &
% 192.35/30.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = all_57_23 &
% 192.35/30.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_25) = all_57_24 & op(e0,
% 192.35/30.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27) = all_57_26 & op(e0, all_57_29) =
% 192.35/30.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_28 & op(e0, all_57_31) = all_57_30 &
% 192.35/30.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_25 & op(e0, e2) =
% 192.35/30.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27 & op(e0, e1) = all_57_29 &
% 192.35/30.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23) & $i(all_57_24) & $i(all_57_25)
% 192.35/30.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_26) & $i(all_57_27) &
% 192.35/30.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28) & $i(all_57_29) & $i(all_57_30))
% 192.35/30.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e3 & ~ (all_57_0 = e3) & ~
% 192.35/30.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e2) & ~ (all_57_4 = e1) & ~
% 192.35/30.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_6 = e0) & ~ (all_57_25 = e0) & op(e3,
% 192.35/30.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1) = all_57_0 & op(e3, all_57_3) =
% 192.35/30.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_2 & op(e3, all_57_5) = all_57_4 &
% 192.35/30.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, all_57_7) = all_57_6 & op(e3, e3) =
% 192.35/30.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e2) = all_57_3 & op(e3, e1)
% 192.35/30.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_5 & op(e3, e0) = all_57_7 & op(e0,
% 192.35/30.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_25 & $i(all_57_0) &
% 192.35/30.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_2) & $i(all_57_3) &
% 192.35/30.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4) & $i(all_57_5) & $i(all_57_6) &
% 192.35/30.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7) & $i(all_57_25)) | (all_57_31 =
% 192.35/30.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_8 = e3) & ~ (all_57_10 = e2)
% 192.35/30.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_12 = e1) & ~ (all_57_14 = e0) &
% 192.35/30.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_27 = e0) & op(e2, all_57_9) =
% 192.35/30.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_8 & op(e2, all_57_11) = all_57_10 &
% 192.35/30.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_13) = all_57_12 & op(e2,
% 192.35/30.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15) = all_57_14 & op(e2, e3) =
% 192.35/30.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_9 & op(e2, e2) = all_57_11 & op(e2, e1)
% 192.35/30.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_13 & op(e2, e0) = all_57_15 & op(e0,
% 192.35/30.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_27 & $i(all_57_8) &
% 192.35/30.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9) & $i(all_57_10) & $i(all_57_11) &
% 192.35/30.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & $i(all_57_13) & $i(all_57_14)
% 192.35/30.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_15) & $i(all_57_27)) | (all_57_31
% 192.35/30.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_16 = e3) & ~ (all_57_18 =
% 192.35/30.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_20 = e1) & ~ (all_57_22 =
% 192.35/30.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_29 = e0) & op(e1,
% 192.35/30.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17) = all_57_16 & op(e1, all_57_19) =
% 192.35/30.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_18 & op(e1, all_57_21) = all_57_20 &
% 192.35/30.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_23) = all_57_22 & op(e1, e3) =
% 192.35/30.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e1, e2) = all_57_19 & op(e1,
% 192.35/30.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_21 & op(e1, e0) = all_57_23 &
% 192.35/30.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = all_57_29 & $i(all_57_16) &
% 192.35/30.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_17) & $i(all_57_18) & $i(all_57_19)
% 192.35/30.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_20) & $i(all_57_21) &
% 192.35/30.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_23) &
% 192.35/30.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29)))
% 192.35/30.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.35/30.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (708) implies:
% 192.35/30.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (709) op(e0, e0) = all_57_31
% 192.35/30.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (710) (all_57_21 = e0 & ~ (all_57_23 = e1) & ~
% 192.35/30.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 192.35/30.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) & op(e1,
% 192.35/30.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0 & op(e1, e0) = all_57_23 & op(e0,
% 192.35/30.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25) = all_57_24 & op(e0, all_57_27) =
% 192.35/30.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e0, all_57_29) = all_57_28 &
% 192.35/30.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_31) = all_57_30 & op(e0, e3) =
% 192.35/30.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_27 & op(e0, e1)
% 192.35/30.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_29 & $i(all_57_23) & $i(all_57_24) &
% 192.35/30.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_25) & $i(all_57_26) & $i(all_57_27) &
% 192.35/30.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28) & $i(all_57_29) & $i(all_57_30)) |
% 192.35/30.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e3 & ~ (all_57_0 = e3) & ~
% 192.35/30.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e2) & ~ (all_57_4 = e1) & ~
% 192.35/30.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_6 = e0) & ~ (all_57_25 = e0) & op(e3,
% 192.35/30.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1) = all_57_0 & op(e3, all_57_3) =
% 192.35/30.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_2 & op(e3, all_57_5) = all_57_4 & op(e3,
% 192.35/30.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7) = all_57_6 & op(e3, e3) = all_57_1 &
% 192.35/30.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_3 & op(e3, e1) = all_57_5 &
% 192.35/30.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_7 & op(e0, e3) = all_57_25 &
% 192.35/30.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_0) & $i(all_57_1) & $i(all_57_2) &
% 192.35/30.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_3) & $i(all_57_4) & $i(all_57_5) &
% 192.35/30.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_6) & $i(all_57_7) & $i(all_57_25)) |
% 192.35/30.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e2 & ~ (all_57_8 = e3) & ~
% 192.35/30.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e2) & ~ (all_57_12 = e1) & ~
% 192.35/30.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e0) & ~ (all_57_27 = e0) & op(e2,
% 192.35/30.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_9) = all_57_8 & op(e2, all_57_11) =
% 192.35/30.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e2, all_57_13) = all_57_12 &
% 192.35/30.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_15) = all_57_14 & op(e2, e3) =
% 192.35/30.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_9 & op(e2, e2) = all_57_11 & op(e2, e1) =
% 192.35/30.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_13 & op(e2, e0) = all_57_15 & op(e0, e2)
% 192.35/30.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_27 & $i(all_57_8) & $i(all_57_9) &
% 192.35/30.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & $i(all_57_11) & $i(all_57_12) &
% 192.35/30.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13) & $i(all_57_14) & $i(all_57_15) &
% 192.35/30.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27)) | (all_57_31 = e1 & ~ (all_57_16
% 192.35/30.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_18 = e2) & ~ (all_57_20 =
% 192.35/30.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_22 = e0) & ~ (all_57_29 =
% 192.35/30.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & op(e1, all_57_17) = all_57_16 & op(e1,
% 192.35/30.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_19) = all_57_18 & op(e1, all_57_21) =
% 192.35/30.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20 & op(e1, all_57_23) = all_57_22 &
% 192.35/30.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_17 & op(e1, e2) = all_57_19
% 192.35/30.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = all_57_21 & op(e1, e0) =
% 192.35/30.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23 & op(e0, e1) = all_57_29 &
% 192.35/30.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_16) & $i(all_57_17) & $i(all_57_18) &
% 192.35/30.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_20) & $i(all_57_21) &
% 192.35/30.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_23) & $i(all_57_29))
% 192.35/30.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.35/30.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (710) gives:
% 192.35/30.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.35/30.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.35/30.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.35/30.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (711) (all_57_21 = e0 & ~ (all_57_23 = e1) & ~
% 192.35/30.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 192.35/30.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) & op(e1,
% 192.35/30.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0 & op(e1, e0) = all_57_23 & op(e0,
% 192.35/30.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25) = all_57_24 & op(e0, all_57_27) =
% 192.35/30.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e0, all_57_29) = all_57_28 &
% 192.35/30.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_31) = all_57_30 & op(e0, e3) =
% 192.35/30.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_27 & op(e0, e1)
% 192.35/30.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_29 & $i(all_57_23) & $i(all_57_24) &
% 192.35/30.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_25) & $i(all_57_26) & $i(all_57_27) &
% 192.35/30.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28) & $i(all_57_29) & $i(all_57_30)) |
% 192.35/30.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e3 & ~ (all_57_0 = e3) & ~
% 192.35/30.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e2) & ~ (all_57_4 = e1) & ~
% 192.35/30.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_6 = e0) & ~ (all_57_25 = e0) & op(e3,
% 192.35/30.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1) = all_57_0 & op(e3, all_57_3) =
% 192.35/30.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_2 & op(e3, all_57_5) = all_57_4 & op(e3,
% 192.35/30.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7) = all_57_6 & op(e3, e3) = all_57_1 &
% 192.35/30.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_3 & op(e3, e1) = all_57_5 &
% 192.35/30.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_7 & op(e0, e3) = all_57_25 &
% 192.35/30.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_0) & $i(all_57_1) & $i(all_57_2) &
% 192.35/30.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_3) & $i(all_57_4) & $i(all_57_5) &
% 192.35/30.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_6) & $i(all_57_7) & $i(all_57_25))
% 192.35/30.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.35/30.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (656), (668), (711), (function-axioms) are
% 192.35/30.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1848.
% 192.35/30.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.35/30.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.35/30.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.35/30.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (712) (all_57_31 = e2 & ~ (all_57_8 = e3) & ~
% 192.35/30.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e2) & ~ (all_57_12 = e1) & ~
% 192.35/30.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e0) & ~ (all_57_27 = e0) & op(e2,
% 192.35/30.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_9) = all_57_8 & op(e2, all_57_11) =
% 192.35/30.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e2, all_57_13) = all_57_12 &
% 192.35/30.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_15) = all_57_14 & op(e2, e3) =
% 192.35/30.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_9 & op(e2, e2) = all_57_11 & op(e2, e1) =
% 192.35/30.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_13 & op(e2, e0) = all_57_15 & op(e0, e2)
% 192.35/30.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_27 & $i(all_57_8) & $i(all_57_9) &
% 192.35/30.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & $i(all_57_11) & $i(all_57_12) &
% 192.35/30.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13) & $i(all_57_14) & $i(all_57_15) &
% 192.35/30.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27)) | (all_57_31 = e1 & ~ (all_57_16
% 192.35/30.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_18 = e2) & ~ (all_57_20 =
% 192.35/30.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_22 = e0) & ~ (all_57_29 =
% 192.35/30.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & op(e1, all_57_17) = all_57_16 & op(e1,
% 192.35/30.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_19) = all_57_18 & op(e1, all_57_21) =
% 192.35/30.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20 & op(e1, all_57_23) = all_57_22 &
% 192.35/30.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_17 & op(e1, e2) = all_57_19
% 192.35/30.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = all_57_21 & op(e1, e0) =
% 192.35/30.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23 & op(e0, e1) = all_57_29 &
% 192.35/30.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_16) & $i(all_57_17) & $i(all_57_18) &
% 192.35/30.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_20) & $i(all_57_21) &
% 192.35/30.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_23) & $i(all_57_29))
% 192.35/30.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.35/30.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (712) gives:
% 192.35/30.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.35/30.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.35/30.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.35/30.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (713) all_57_31 = e2 & ~ (all_57_8 = e3) & ~
% 192.35/30.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e2) & ~ (all_57_12 = e1) & ~
% 192.35/30.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e0) & ~ (all_57_27 = e0) & op(e2,
% 192.35/30.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_9) = all_57_8 & op(e2, all_57_11) =
% 192.35/30.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e2, all_57_13) = all_57_12 & op(e2,
% 192.35/30.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15) = all_57_14 & op(e2, e3) = all_57_9 &
% 192.35/30.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_11 & op(e2, e1) = all_57_13 &
% 192.35/30.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_15 & op(e0, e2) = all_57_27 &
% 192.35/30.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8) & $i(all_57_9) & $i(all_57_10) &
% 192.35/30.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_12) & $i(all_57_13) &
% 192.35/30.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & $i(all_57_15) & $i(all_57_27)
% 192.35/30.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.35/30.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (713) implies:
% 192.35/30.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (714) ~ (all_57_10 = e2)
% 192.35/30.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (715) op(e2, e2) = all_57_11
% 192.35/30.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (716) op(e2, all_57_11) = all_57_10
% 192.35/30.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.35/30.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (158), (162), (170), (227), (390), (391), (392),
% 192.35/30.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (714), (715), (716), (function-axioms) are
% 192.35/30.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1967.
% 192.35/30.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.35/30.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.35/30.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.35/30.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (717) all_57_31 = e1 & ~ (all_57_16 = e3) & ~
% 192.35/30.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_18 = e2) & ~ (all_57_20 = e1) & ~
% 192.35/30.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_22 = e0) & ~ (all_57_29 = e0) & op(e1,
% 192.35/30.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17) = all_57_16 & op(e1, all_57_19) =
% 192.35/30.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_18 & op(e1, all_57_21) = all_57_20 & op(e1,
% 192.35/30.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23) = all_57_22 & op(e1, e3) = all_57_17
% 192.35/30.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = all_57_19 & op(e1, e1) = all_57_21
% 192.35/30.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e0) = all_57_23 & op(e0, e1) = all_57_29
% 192.35/30.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_16) & $i(all_57_17) & $i(all_57_18) &
% 192.35/30.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_20) & $i(all_57_21) &
% 192.35/30.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_23) & $i(all_57_29)
% 192.35/30.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.35/30.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (717) implies:
% 192.35/30.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (718) all_57_31 = e1
% 192.35/30.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.35/30.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (709), (718) imply:
% 192.35/30.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (719) op(e0, e0) = e1
% 192.35/30.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.35/30.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (9), (157), (159), (208), (506), (511),
% 192.35/30.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (617), (719), (function-axioms) are inconsistent
% 192.35/30.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1841.
% 192.35/30.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.35/30.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.35/30.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.35/30.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.35/30.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.35/30.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.35/30.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.35/30.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.35/30.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.35/30.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.35/30.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.35/30.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.35/30.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.35/30.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.35/30.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.35/30.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (720) all_56_10 = e0 & op(e2, e0) = e0
% 192.35/30.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.35/30.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (646), (720) are inconsistent by sub-proof
% 192.35/30.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1840.
% 192.35/30.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.35/30.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.35/30.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.35/30.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.35/30.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.35/30.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.35/30.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.35/30.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.35/30.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.35/30.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.35/30.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.35/30.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (721) all_54_4 = e0
% 192.35/30.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.35/30.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (596), (599), (721) are inconsistent by sub-proof
% 192.35/30.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1863.
% 192.35/30.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.35/30.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.35/30.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.35/30.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.35/30.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.35/30.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.35/30.25 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.35/30.25 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.35/30.25 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.35/30.25 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.35/30.25 | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.35/30.25 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.35/30.25 | | | | | | | | | | | | | | | | | | | | | | | |
% 192.35/30.25 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.35/30.25 | | | | | | | | | | | | | | | | | | | | | | |
% 192.35/30.25 | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.35/30.25 | | | | | | | | | | | | | | | | | | | | | |
% 192.35/30.25 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.35/30.25 | | | | | | | | | | | | | | | | | | | | | |
% 192.35/30.25 | | | | | | | | | | | | | | | | | | | | | | (722) (all_56_14 = e3 & op(e0, e1) = e3) | (all_56_15 =
% 192.35/30.25 | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = e3)
% 192.35/30.25 | | | | | | | | | | | | | | | | | | | | | |
% 192.35/30.25 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (157), (493), (582), (722), (function-axioms)
% 192.35/30.25 | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1837.
% 192.35/30.25 | | | | | | | | | | | | | | | | | | | | | |
% 192.35/30.25 | | | | | | | | | | | | | | | | | | | | | End of split
% 192.35/30.25 | | | | | | | | | | | | | | | | | | | | |
% 192.35/30.25 | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.35/30.25 | | | | | | | | | | | | | | | | | | | | |
% 192.35/30.26 | | | | | | | | | | | | | | | | | | | | | (723) all_54_0 = e2 | all_54_0 = e1 | all_54_0 = e0
% 192.35/30.26 | | | | | | | | | | | | | | | | | | | | |
% 192.35/30.26 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (279), (377), (398), (605), (723) are inconsistent
% 192.35/30.26 | | | | | | | | | | | | | | | | | | | | | by sub-proof #1904.
% 192.35/30.26 | | | | | | | | | | | | | | | | | | | | |
% 192.35/30.26 | | | | | | | | | | | | | | | | | | | | End of split
% 192.35/30.26 | | | | | | | | | | | | | | | | | | | |
% 192.35/30.26 | | | | | | | | | | | | | | | | | | | Case 2:
% 192.35/30.26 | | | | | | | | | | | | | | | | | | | |
% 192.35/30.26 | | | | | | | | | | | | | | | | | | | | (724) all_34_2 = e0
% 192.35/30.26 | | | | | | | | | | | | | | | | | | | |
% 192.35/30.26 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (313), (724) imply:
% 192.35/30.26 | | | | | | | | | | | | | | | | | | | | (725) all_14_2 = e0
% 192.35/30.26 | | | | | | | | | | | | | | | | | | | |
% 192.35/30.26 | | | | | | | | | | | | | | | | | | | | REDUCE: (341), (725) imply:
% 192.35/30.26 | | | | | | | | | | | | | | | | | | | | (726) ~ (all_52_3 = e0)
% 192.35/30.26 | | | | | | | | | | | | | | | | | | | |
% 192.35/30.26 | | | | | | | | | | | | | | | | | | | | REDUCE: (347), (725) imply:
% 192.35/30.26 | | | | | | | | | | | | | | | | | | | | (727) ~ (all_52_12 = e0)
% 192.35/30.26 | | | | | | | | | | | | | | | | | | | |
% 192.35/30.26 | | | | | | | | | | | | | | | | | | | | REDUCE: (377), (725) imply:
% 192.35/30.26 | | | | | | | | | | | | | | | | | | | | (728) ~ (e2 = e0)
% 192.35/30.26 | | | | | | | | | | | | | | | | | | | |
% 192.35/30.26 | | | | | | | | | | | | | | | | | | | | REDUCE: (398), (725) imply:
% 192.35/30.26 | | | | | | | | | | | | | | | | | | | | (729) ~ (e1 = e0)
% 192.35/30.26 | | | | | | | | | | | | | | | | | | | |
% 192.35/30.26 | | | | | | | | | | | | | | | | | | | | REDUCE: (51), (725) imply:
% 192.35/30.26 | | | | | | | | | | | | | | | | | | | | (730) op(e3, e3) = e0
% 192.35/30.26 | | | | | | | | | | | | | | | | | | | |
% 192.35/30.26 | | | | | | | | | | | | | | | | | | | | BETA: splitting (238) gives:
% 192.35/30.26 | | | | | | | | | | | | | | | | | | | |
% 192.35/30.26 | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.35/30.26 | | | | | | | | | | | | | | | | | | | | |
% 192.35/30.26 | | | | | | | | | | | | | | | | | | | | | (731) (all_57_3 = e3 & ~ (all_57_1 = e2) & ~ (all_57_8
% 192.35/30.26 | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_10 = e2) & ~ (all_57_12 =
% 192.35/30.26 | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_14 = e0) & op(e3, e3) =
% 192.35/30.26 | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e2) = e3 & op(e2, all_57_9) =
% 192.35/30.26 | | | | | | | | | | | | | | | | | | | | | all_57_8 & op(e2, all_57_11) = all_57_10 &
% 192.35/30.26 | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_13) = all_57_12 & op(e2,
% 192.35/30.26 | | | | | | | | | | | | | | | | | | | | | all_57_15) = all_57_14 & op(e2, e3) = all_57_9
% 192.35/30.26 | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = all_57_11 & op(e2, e1) =
% 192.35/30.26 | | | | | | | | | | | | | | | | | | | | | all_57_13 & op(e2, e0) = all_57_15 &
% 192.35/30.26 | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_8) & $i(all_57_9) &
% 192.35/30.26 | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & $i(all_57_11) & $i(all_57_12) &
% 192.35/30.26 | | | | | | | | | | | | | | | | | | | | | $i(all_57_13) & $i(all_57_14) & $i(all_57_15)) |
% 192.35/30.26 | | | | | | | | | | | | | | | | | | | | | (all_57_5 = e3 & ~ (all_57_1 = e1) & ~
% 192.35/30.26 | | | | | | | | | | | | | | | | | | | | | (all_57_16 = e3) & ~ (all_57_18 = e2) & ~
% 192.35/30.26 | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_22 = e0) & op(e3,
% 192.35/30.26 | | | | | | | | | | | | | | | | | | | | | e3) = all_57_1 & op(e3, e1) = e3 & op(e1,
% 192.35/30.26 | | | | | | | | | | | | | | | | | | | | | all_57_17) = all_57_16 & op(e1, all_57_19) =
% 192.35/30.26 | | | | | | | | | | | | | | | | | | | | | all_57_18 & op(e1, all_57_21) = all_57_20 &
% 192.35/30.26 | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_23) = all_57_22 & op(e1, e3) =
% 192.35/30.26 | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e1, e2) = all_57_19 & op(e1, e1)
% 192.35/30.26 | | | | | | | | | | | | | | | | | | | | | = all_57_21 & op(e1, e0) = all_57_23 &
% 192.35/30.26 | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_16) & $i(all_57_17) &
% 192.35/30.26 | | | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_19) & $i(all_57_20) &
% 192.35/30.26 | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_22) & $i(all_57_23)) |
% 192.35/30.26 | | | | | | | | | | | | | | | | | | | | | (all_57_7 = e3 & ~ (all_57_1 = e0) & ~
% 192.35/30.26 | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 192.35/30.26 | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) & op(e3,
% 192.35/30.26 | | | | | | | | | | | | | | | | | | | | | e3) = all_57_1 & op(e3, e0) = e3 & op(e0,
% 192.35/30.26 | | | | | | | | | | | | | | | | | | | | | all_57_25) = all_57_24 & op(e0, all_57_27) =
% 192.35/30.26 | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e0, all_57_29) = all_57_28 &
% 192.35/30.26 | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_31) = all_57_30 & op(e0, e3) =
% 192.35/30.26 | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_27 & op(e0, e1)
% 192.35/30.26 | | | | | | | | | | | | | | | | | | | | | = all_57_29 & op(e0, e0) = all_57_31 &
% 192.35/30.26 | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_24) & $i(all_57_25) &
% 192.35/30.26 | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_27) & $i(all_57_28) &
% 192.35/30.26 | | | | | | | | | | | | | | | | | | | | | $i(all_57_29) & $i(all_57_30) & $i(all_57_31)) |
% 192.35/30.26 | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e2 & ~ (all_57_0 = e3) & ~ (all_57_2
% 192.35/30.26 | | | | | | | | | | | | | | | | | | | | | = e2) & ~ (all_57_4 = e1) & ~ (all_57_6 =
% 192.35/30.26 | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_11 = e3) & op(e3, all_57_1) =
% 192.35/30.26 | | | | | | | | | | | | | | | | | | | | | all_57_0 & op(e3, all_57_3) = all_57_2 & op(e3,
% 192.35/30.26 | | | | | | | | | | | | | | | | | | | | | all_57_5) = all_57_4 & op(e3, all_57_7) =
% 192.35/30.26 | | | | | | | | | | | | | | | | | | | | | all_57_6 & op(e3, e3) = all_57_1 & op(e3, e2) =
% 192.35/30.26 | | | | | | | | | | | | | | | | | | | | | all_57_3 & op(e3, e1) = all_57_5 & op(e3, e0) =
% 192.35/30.26 | | | | | | | | | | | | | | | | | | | | | all_57_7 & op(e2, e3) = e2 & op(e2, e2) =
% 192.35/30.26 | | | | | | | | | | | | | | | | | | | | | all_57_11 & $i(all_57_0) & $i(all_57_1) &
% 192.35/30.26 | | | | | | | | | | | | | | | | | | | | | $i(all_57_2) & $i(all_57_3) & $i(all_57_4) &
% 192.35/30.26 | | | | | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 192.35/30.26 | | | | | | | | | | | | | | | | | | | | | $i(all_57_11))
% 192.35/30.26 | | | | | | | | | | | | | | | | | | | | |
% 192.35/30.26 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (158), (162), (167), (170), (227), (389),
% 192.35/30.26 | | | | | | | | | | | | | | | | | | | | | (390), (391), (392), (502), (730), (731),
% 192.35/30.26 | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 192.35/30.26 | | | | | | | | | | | | | | | | | | | | | #1836.
% 192.35/30.26 | | | | | | | | | | | | | | | | | | | | |
% 192.35/30.26 | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.35/30.26 | | | | | | | | | | | | | | | | | | | | |
% 192.35/30.26 | | | | | | | | | | | | | | | | | | | | | (732) (all_57_13 = e2 & ~ (all_57_11 = e1) & ~
% 192.35/30.26 | | | | | | | | | | | | | | | | | | | | | (all_57_16 = e3) & ~ (all_57_18 = e2) & ~
% 192.35/30.26 | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_22 = e0) & op(e2,
% 192.35/30.26 | | | | | | | | | | | | | | | | | | | | | e2) = all_57_11 & op(e2, e1) = e2 & op(e1,
% 192.35/30.26 | | | | | | | | | | | | | | | | | | | | | all_57_17) = all_57_16 & op(e1, all_57_19) =
% 192.35/30.26 | | | | | | | | | | | | | | | | | | | | | all_57_18 & op(e1, all_57_21) = all_57_20 &
% 192.35/30.26 | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_23) = all_57_22 & op(e1, e3) =
% 192.35/30.26 | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e1, e2) = all_57_19 & op(e1, e1)
% 192.35/30.26 | | | | | | | | | | | | | | | | | | | | | = all_57_21 & op(e1, e0) = all_57_23 &
% 192.35/30.26 | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_16) & $i(all_57_17) &
% 192.35/30.26 | | | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_19) & $i(all_57_20) &
% 192.35/30.26 | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_22) & $i(all_57_23)) |
% 192.35/30.26 | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e2 & ~ (all_57_11 = e0) & ~
% 192.35/30.27 | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 192.35/30.27 | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) & op(e2,
% 192.35/30.27 | | | | | | | | | | | | | | | | | | | | | e2) = all_57_11 & op(e2, e0) = e2 & op(e0,
% 192.35/30.27 | | | | | | | | | | | | | | | | | | | | | all_57_25) = all_57_24 & op(e0, all_57_27) =
% 192.35/30.27 | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e0, all_57_29) = all_57_28 &
% 192.35/30.27 | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_31) = all_57_30 & op(e0, e3) =
% 192.35/30.27 | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_27 & op(e0, e1)
% 192.35/30.27 | | | | | | | | | | | | | | | | | | | | | = all_57_29 & op(e0, e0) = all_57_31 &
% 192.35/30.27 | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_24) & $i(all_57_25) &
% 192.35/30.27 | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_27) & $i(all_57_28) &
% 192.35/30.27 | | | | | | | | | | | | | | | | | | | | | $i(all_57_29) & $i(all_57_30) & $i(all_57_31)) |
% 192.35/30.27 | | | | | | | | | | | | | | | | | | | | | (all_57_17 = e1 & ~ (all_57_0 = e3) & ~
% 192.35/30.27 | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e2) & ~ (all_57_4 = e1) & ~
% 192.35/30.27 | | | | | | | | | | | | | | | | | | | | | (all_57_6 = e0) & ~ (all_57_21 = e3) & op(e3,
% 192.35/30.27 | | | | | | | | | | | | | | | | | | | | | all_57_1) = all_57_0 & op(e3, all_57_3) =
% 192.35/30.27 | | | | | | | | | | | | | | | | | | | | | all_57_2 & op(e3, all_57_5) = all_57_4 & op(e3,
% 192.35/30.27 | | | | | | | | | | | | | | | | | | | | | all_57_7) = all_57_6 & op(e3, e3) = all_57_1 &
% 192.35/30.27 | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_3 & op(e3, e1) = all_57_5 &
% 192.35/30.27 | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_7 & op(e1, e3) = e1 & op(e1,
% 192.35/30.27 | | | | | | | | | | | | | | | | | | | | | e1) = all_57_21 & $i(all_57_0) & $i(all_57_1)
% 192.35/30.27 | | | | | | | | | | | | | | | | | | | | | & $i(all_57_2) & $i(all_57_3) & $i(all_57_4) &
% 192.35/30.27 | | | | | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 192.35/30.27 | | | | | | | | | | | | | | | | | | | | | $i(all_57_21)) | (all_57_19 = e1 & ~ (all_57_8
% 192.35/30.27 | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_10 = e2) & ~ (all_57_12 =
% 192.35/30.27 | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_14 = e0) & ~ (all_57_21 =
% 192.35/30.27 | | | | | | | | | | | | | | | | | | | | | e2) & op(e2, all_57_9) = all_57_8 & op(e2,
% 192.35/30.27 | | | | | | | | | | | | | | | | | | | | | all_57_11) = all_57_10 & op(e2, all_57_13) =
% 192.35/30.27 | | | | | | | | | | | | | | | | | | | | | all_57_12 & op(e2, all_57_15) = all_57_14 &
% 192.35/30.27 | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_9 & op(e2, e2) = all_57_11 &
% 192.35/30.27 | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_57_13 & op(e2, e0) = all_57_15
% 192.35/30.27 | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e1 & op(e1, e1) = all_57_21 &
% 192.35/30.27 | | | | | | | | | | | | | | | | | | | | | $i(all_57_8) & $i(all_57_9) & $i(all_57_10) &
% 192.35/30.27 | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_12) & $i(all_57_13) &
% 192.35/30.27 | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & $i(all_57_15) & $i(all_57_21)) |
% 192.35/30.27 | | | | | | | | | | | | | | | | | | | | | (op(e0, e0) = all_57_31 & $i(all_57_31) &
% 192.35/30.27 | | | | | | | | | | | | | | | | | | | | | ((all_57_23 = e1 & ~ (all_57_21 = e0) & ~
% 192.35/30.27 | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 192.35/30.27 | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) &
% 192.35/30.27 | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_21 & op(e1, e0) = e1 &
% 192.35/30.27 | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_25) = all_57_24 & op(e0,
% 192.35/30.27 | | | | | | | | | | | | | | | | | | | | | all_57_27) = all_57_26 & op(e0, all_57_29)
% 192.35/30.27 | | | | | | | | | | | | | | | | | | | | | = all_57_28 & op(e0, all_57_31) = all_57_30
% 192.35/30.27 | | | | | | | | | | | | | | | | | | | | | & op(e0, e3) = all_57_25 & op(e0, e2) =
% 192.35/30.27 | | | | | | | | | | | | | | | | | | | | | all_57_27 & op(e0, e1) = all_57_29 &
% 192.35/30.27 | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_24) &
% 192.35/30.27 | | | | | | | | | | | | | | | | | | | | | $i(all_57_25) & $i(all_57_26) &
% 192.35/30.27 | | | | | | | | | | | | | | | | | | | | | $i(all_57_27) & $i(all_57_28) &
% 192.35/30.27 | | | | | | | | | | | | | | | | | | | | | $i(all_57_29) & $i(all_57_30)) | (all_57_25
% 192.35/30.27 | | | | | | | | | | | | | | | | | | | | | = e0 & ~ (all_57_0 = e3) & ~ (all_57_2 =
% 192.35/30.27 | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_4 = e1) & ~ (all_57_6 =
% 192.35/30.27 | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_31 = e3) & op(e3,
% 192.35/30.27 | | | | | | | | | | | | | | | | | | | | | all_57_1) = all_57_0 & op(e3, all_57_3) =
% 192.35/30.27 | | | | | | | | | | | | | | | | | | | | | all_57_2 & op(e3, all_57_5) = all_57_4 &
% 192.35/30.27 | | | | | | | | | | | | | | | | | | | | | op(e3, all_57_7) = all_57_6 & op(e3, e3) =
% 192.35/30.27 | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e2) = all_57_3 & op(e3,
% 192.35/30.27 | | | | | | | | | | | | | | | | | | | | | e1) = all_57_5 & op(e3, e0) = all_57_7 &
% 192.35/30.27 | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_0) &
% 192.35/30.27 | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_2) & $i(all_57_3) &
% 192.35/30.27 | | | | | | | | | | | | | | | | | | | | | $i(all_57_4) & $i(all_57_5) & $i(all_57_6) &
% 192.35/30.27 | | | | | | | | | | | | | | | | | | | | | $i(all_57_7)) | (all_57_27 = e0 & ~
% 192.35/30.27 | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e3) & ~ (all_57_10 = e2) & ~
% 192.35/30.27 | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e1) & ~ (all_57_14 = e0) & ~
% 192.35/30.27 | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e2) & op(e2, all_57_9) =
% 192.35/30.27 | | | | | | | | | | | | | | | | | | | | | all_57_8 & op(e2, all_57_11) = all_57_10 &
% 192.35/30.27 | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_13) = all_57_12 & op(e2,
% 192.35/30.27 | | | | | | | | | | | | | | | | | | | | | all_57_15) = all_57_14 & op(e2, e3) =
% 192.35/30.27 | | | | | | | | | | | | | | | | | | | | | all_57_9 & op(e2, e2) = all_57_11 & op(e2,
% 192.35/30.27 | | | | | | | | | | | | | | | | | | | | | e1) = all_57_13 & op(e2, e0) = all_57_15 &
% 192.35/30.27 | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_8) &
% 192.35/30.27 | | | | | | | | | | | | | | | | | | | | | $i(all_57_9) & $i(all_57_10) & $i(all_57_11)
% 192.35/30.27 | | | | | | | | | | | | | | | | | | | | | & $i(all_57_12) & $i(all_57_13) &
% 192.35/30.27 | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & $i(all_57_15)) | (all_57_29
% 192.35/30.27 | | | | | | | | | | | | | | | | | | | | | = e0 & ~ (all_57_16 = e3) & ~ (all_57_18 =
% 192.35/30.27 | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_20 = e1) & ~ (all_57_22
% 192.35/30.27 | | | | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_31 = e1) & op(e1,
% 192.35/30.27 | | | | | | | | | | | | | | | | | | | | | all_57_17) = all_57_16 & op(e1, all_57_19)
% 192.35/30.27 | | | | | | | | | | | | | | | | | | | | | = all_57_18 & op(e1, all_57_21) = all_57_20
% 192.35/30.27 | | | | | | | | | | | | | | | | | | | | | & op(e1, all_57_23) = all_57_22 & op(e1, e3)
% 192.35/30.27 | | | | | | | | | | | | | | | | | | | | | = all_57_17 & op(e1, e2) = all_57_19 &
% 192.35/30.27 | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_21 & op(e1, e0) =
% 192.35/30.27 | | | | | | | | | | | | | | | | | | | | | all_57_23 & op(e0, e1) = e0 & $i(all_57_16)
% 192.35/30.27 | | | | | | | | | | | | | | | | | | | | | & $i(all_57_17) & $i(all_57_18) &
% 192.35/30.27 | | | | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_20) &
% 192.35/30.27 | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_22) &
% 192.35/30.27 | | | | | | | | | | | | | | | | | | | | | $i(all_57_23))))
% 192.35/30.27 | | | | | | | | | | | | | | | | | | | | |
% 192.35/30.27 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (732) gives:
% 192.35/30.27 | | | | | | | | | | | | | | | | | | | | |
% 192.35/30.27 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.35/30.27 | | | | | | | | | | | | | | | | | | | | | |
% 192.35/30.27 | | | | | | | | | | | | | | | | | | | | | | (733) (all_57_13 = e2 & ~ (all_57_11 = e1) & ~
% 192.35/30.27 | | | | | | | | | | | | | | | | | | | | | | (all_57_16 = e3) & ~ (all_57_18 = e2) & ~
% 192.35/30.27 | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_22 = e0) & op(e2,
% 192.35/30.27 | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_11 & op(e2, e1) = e2 & op(e1,
% 192.35/30.27 | | | | | | | | | | | | | | | | | | | | | | all_57_17) = all_57_16 & op(e1, all_57_19) =
% 192.35/30.27 | | | | | | | | | | | | | | | | | | | | | | all_57_18 & op(e1, all_57_21) = all_57_20 &
% 192.35/30.27 | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_23) = all_57_22 & op(e1, e3) =
% 192.35/30.27 | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e1, e2) = all_57_19 & op(e1, e1)
% 192.35/30.27 | | | | | | | | | | | | | | | | | | | | | | = all_57_21 & op(e1, e0) = all_57_23 &
% 192.35/30.27 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_16) & $i(all_57_17) &
% 192.35/30.27 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_19) & $i(all_57_20) &
% 192.35/30.27 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_22) & $i(all_57_23)) |
% 192.35/30.27 | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e2 & ~ (all_57_11 = e0) & ~
% 192.35/30.27 | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 192.35/30.27 | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) & op(e2,
% 192.35/30.27 | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_11 & op(e2, e0) = e2 & op(e0,
% 192.35/30.27 | | | | | | | | | | | | | | | | | | | | | | all_57_25) = all_57_24 & op(e0, all_57_27) =
% 192.35/30.27 | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e0, all_57_29) = all_57_28 &
% 192.35/30.27 | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_31) = all_57_30 & op(e0, e3) =
% 192.35/30.27 | | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_27 & op(e0, e1)
% 192.35/30.27 | | | | | | | | | | | | | | | | | | | | | | = all_57_29 & op(e0, e0) = all_57_31 &
% 192.35/30.27 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_24) & $i(all_57_25) &
% 192.35/30.27 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_27) & $i(all_57_28) &
% 192.35/30.27 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29) & $i(all_57_30) & $i(all_57_31))
% 192.35/30.27 | | | | | | | | | | | | | | | | | | | | | |
% 192.35/30.27 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (165), (393), (394), (733),
% 192.35/30.27 | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 192.35/30.27 | | | | | | | | | | | | | | | | | | | | | | #1940.
% 192.35/30.27 | | | | | | | | | | | | | | | | | | | | | |
% 192.35/30.27 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.35/30.27 | | | | | | | | | | | | | | | | | | | | | |
% 192.35/30.27 | | | | | | | | | | | | | | | | | | | | | | (734) (all_57_17 = e1 & ~ (all_57_0 = e3) & ~
% 192.35/30.27 | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e2) & ~ (all_57_4 = e1) & ~
% 192.35/30.27 | | | | | | | | | | | | | | | | | | | | | | (all_57_6 = e0) & ~ (all_57_21 = e3) & op(e3,
% 192.35/30.27 | | | | | | | | | | | | | | | | | | | | | | all_57_1) = all_57_0 & op(e3, all_57_3) =
% 192.35/30.27 | | | | | | | | | | | | | | | | | | | | | | all_57_2 & op(e3, all_57_5) = all_57_4 & op(e3,
% 192.35/30.27 | | | | | | | | | | | | | | | | | | | | | | all_57_7) = all_57_6 & op(e3, e3) = all_57_1 &
% 192.35/30.27 | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_3 & op(e3, e1) = all_57_5 &
% 192.35/30.27 | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_7 & op(e1, e3) = e1 & op(e1,
% 192.35/30.27 | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_21 & $i(all_57_0) & $i(all_57_1)
% 192.35/30.27 | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_2) & $i(all_57_3) & $i(all_57_4) &
% 192.35/30.27 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 192.35/30.27 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21)) | (all_57_19 = e1 & ~ (all_57_8
% 192.35/30.27 | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_10 = e2) & ~ (all_57_12 =
% 192.35/30.27 | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_14 = e0) & ~ (all_57_21 =
% 192.35/30.27 | | | | | | | | | | | | | | | | | | | | | | e2) & op(e2, all_57_9) = all_57_8 & op(e2,
% 192.35/30.27 | | | | | | | | | | | | | | | | | | | | | | all_57_11) = all_57_10 & op(e2, all_57_13) =
% 192.35/30.27 | | | | | | | | | | | | | | | | | | | | | | all_57_12 & op(e2, all_57_15) = all_57_14 &
% 192.35/30.27 | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_9 & op(e2, e2) = all_57_11 &
% 192.35/30.27 | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_57_13 & op(e2, e0) = all_57_15
% 192.35/30.27 | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e1 & op(e1, e1) = all_57_21 &
% 192.35/30.27 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8) & $i(all_57_9) & $i(all_57_10) &
% 192.35/30.27 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_12) & $i(all_57_13) &
% 192.35/30.27 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & $i(all_57_15) & $i(all_57_21)) |
% 192.35/30.27 | | | | | | | | | | | | | | | | | | | | | | (op(e0, e0) = all_57_31 & $i(all_57_31) &
% 192.35/30.27 | | | | | | | | | | | | | | | | | | | | | | ((all_57_23 = e1 & ~ (all_57_21 = e0) & ~
% 192.35/30.27 | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 192.35/30.27 | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) &
% 192.35/30.27 | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_21 & op(e1, e0) = e1 &
% 192.35/30.27 | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_25) = all_57_24 & op(e0,
% 192.35/30.27 | | | | | | | | | | | | | | | | | | | | | | all_57_27) = all_57_26 & op(e0, all_57_29)
% 192.35/30.27 | | | | | | | | | | | | | | | | | | | | | | = all_57_28 & op(e0, all_57_31) = all_57_30
% 192.35/30.27 | | | | | | | | | | | | | | | | | | | | | | & op(e0, e3) = all_57_25 & op(e0, e2) =
% 192.35/30.27 | | | | | | | | | | | | | | | | | | | | | | all_57_27 & op(e0, e1) = all_57_29 &
% 192.35/30.27 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_24) &
% 192.35/30.27 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_25) & $i(all_57_26) &
% 192.35/30.27 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27) & $i(all_57_28) &
% 192.35/30.27 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29) & $i(all_57_30)) | (all_57_25
% 192.35/30.27 | | | | | | | | | | | | | | | | | | | | | | = e0 & ~ (all_57_0 = e3) & ~ (all_57_2 =
% 192.35/30.27 | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_4 = e1) & ~ (all_57_6 =
% 192.35/30.27 | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_31 = e3) & op(e3,
% 192.35/30.27 | | | | | | | | | | | | | | | | | | | | | | all_57_1) = all_57_0 & op(e3, all_57_3) =
% 192.35/30.27 | | | | | | | | | | | | | | | | | | | | | | all_57_2 & op(e3, all_57_5) = all_57_4 &
% 192.35/30.27 | | | | | | | | | | | | | | | | | | | | | | op(e3, all_57_7) = all_57_6 & op(e3, e3) =
% 192.35/30.27 | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e2) = all_57_3 & op(e3,
% 192.35/30.27 | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_5 & op(e3, e0) = all_57_7 &
% 192.35/30.27 | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_0) &
% 192.35/30.27 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_2) & $i(all_57_3) &
% 192.35/30.27 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4) & $i(all_57_5) & $i(all_57_6) &
% 192.35/30.27 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7)) | (all_57_27 = e0 & ~
% 192.35/30.27 | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e3) & ~ (all_57_10 = e2) & ~
% 192.35/30.27 | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e1) & ~ (all_57_14 = e0) & ~
% 192.35/30.27 | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e2) & op(e2, all_57_9) =
% 192.35/30.27 | | | | | | | | | | | | | | | | | | | | | | all_57_8 & op(e2, all_57_11) = all_57_10 &
% 192.35/30.27 | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_13) = all_57_12 & op(e2,
% 192.35/30.27 | | | | | | | | | | | | | | | | | | | | | | all_57_15) = all_57_14 & op(e2, e3) =
% 192.35/30.27 | | | | | | | | | | | | | | | | | | | | | | all_57_9 & op(e2, e2) = all_57_11 & op(e2,
% 192.35/30.27 | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_13 & op(e2, e0) = all_57_15 &
% 192.35/30.27 | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_8) &
% 192.35/30.27 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9) & $i(all_57_10) & $i(all_57_11)
% 192.35/30.27 | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_12) & $i(all_57_13) &
% 192.35/30.27 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & $i(all_57_15)) | (all_57_29
% 192.35/30.27 | | | | | | | | | | | | | | | | | | | | | | = e0 & ~ (all_57_16 = e3) & ~ (all_57_18 =
% 192.35/30.27 | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_20 = e1) & ~ (all_57_22
% 192.35/30.27 | | | | | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_31 = e1) & op(e1,
% 192.35/30.27 | | | | | | | | | | | | | | | | | | | | | | all_57_17) = all_57_16 & op(e1, all_57_19)
% 192.35/30.27 | | | | | | | | | | | | | | | | | | | | | | = all_57_18 & op(e1, all_57_21) = all_57_20
% 192.35/30.27 | | | | | | | | | | | | | | | | | | | | | | & op(e1, all_57_23) = all_57_22 & op(e1, e3)
% 192.35/30.27 | | | | | | | | | | | | | | | | | | | | | | = all_57_17 & op(e1, e2) = all_57_19 &
% 192.35/30.27 | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_21 & op(e1, e0) =
% 192.35/30.27 | | | | | | | | | | | | | | | | | | | | | | all_57_23 & op(e0, e1) = e0 & $i(all_57_16)
% 192.35/30.27 | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_17) & $i(all_57_18) &
% 192.35/30.27 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_20) &
% 192.35/30.27 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_22) &
% 192.35/30.27 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23))))
% 192.35/30.27 | | | | | | | | | | | | | | | | | | | | | |
% 192.35/30.27 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (734) gives:
% 192.35/30.27 | | | | | | | | | | | | | | | | | | | | | |
% 192.35/30.27 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.35/30.27 | | | | | | | | | | | | | | | | | | | | | | |
% 192.35/30.27 | | | | | | | | | | | | | | | | | | | | | | | (735) all_57_17 = e1 & ~ (all_57_0 = e3) & ~ (all_57_2
% 192.35/30.27 | | | | | | | | | | | | | | | | | | | | | | | = e2) & ~ (all_57_4 = e1) & ~ (all_57_6 = e0)
% 192.35/30.27 | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_21 = e3) & op(e3, all_57_1) =
% 192.35/30.27 | | | | | | | | | | | | | | | | | | | | | | | all_57_0 & op(e3, all_57_3) = all_57_2 & op(e3,
% 192.35/30.27 | | | | | | | | | | | | | | | | | | | | | | | all_57_5) = all_57_4 & op(e3, all_57_7) =
% 192.35/30.27 | | | | | | | | | | | | | | | | | | | | | | | all_57_6 & op(e3, e3) = all_57_1 & op(e3, e2) =
% 192.35/30.27 | | | | | | | | | | | | | | | | | | | | | | | all_57_3 & op(e3, e1) = all_57_5 & op(e3, e0) =
% 192.35/30.27 | | | | | | | | | | | | | | | | | | | | | | | all_57_7 & op(e1, e3) = e1 & op(e1, e1) =
% 192.35/30.27 | | | | | | | | | | | | | | | | | | | | | | | all_57_21 & $i(all_57_0) & $i(all_57_1) &
% 192.35/30.27 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_2) & $i(all_57_3) & $i(all_57_4) &
% 192.35/30.27 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 192.35/30.27 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21)
% 192.35/30.27 | | | | | | | | | | | | | | | | | | | | | | |
% 192.35/30.27 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (735) implies:
% 192.35/30.27 | | | | | | | | | | | | | | | | | | | | | | | (736) op(e1, e3) = e1
% 192.35/30.27 | | | | | | | | | | | | | | | | | | | | | | |
% 192.35/30.27 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (497), (736), (function-axioms) are
% 192.35/30.27 | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1884.
% 192.35/30.27 | | | | | | | | | | | | | | | | | | | | | | |
% 192.35/30.27 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.35/30.27 | | | | | | | | | | | | | | | | | | | | | | |
% 192.35/30.28 | | | | | | | | | | | | | | | | | | | | | | | (737) (all_57_19 = e1 & ~ (all_57_8 = e3) & ~
% 192.35/30.28 | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e2) & ~ (all_57_12 = e1) & ~
% 192.35/30.28 | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e0) & ~ (all_57_21 = e2) & op(e2,
% 192.35/30.28 | | | | | | | | | | | | | | | | | | | | | | | all_57_9) = all_57_8 & op(e2, all_57_11) =
% 192.35/30.28 | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e2, all_57_13) = all_57_12 &
% 192.35/30.28 | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_15) = all_57_14 & op(e2, e3) =
% 192.35/30.28 | | | | | | | | | | | | | | | | | | | | | | | all_57_9 & op(e2, e2) = all_57_11 & op(e2, e1) =
% 192.35/30.28 | | | | | | | | | | | | | | | | | | | | | | | all_57_13 & op(e2, e0) = all_57_15 & op(e1, e2)
% 192.35/30.28 | | | | | | | | | | | | | | | | | | | | | | | = e1 & op(e1, e1) = all_57_21 & $i(all_57_8) &
% 192.35/30.28 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9) & $i(all_57_10) & $i(all_57_11) &
% 192.35/30.28 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & $i(all_57_13) & $i(all_57_14) &
% 192.35/30.28 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & $i(all_57_21)) | (op(e0, e0) =
% 192.35/30.28 | | | | | | | | | | | | | | | | | | | | | | | all_57_31 & $i(all_57_31) & ((all_57_23 = e1 &
% 192.35/30.28 | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_21 = e0) & ~ (all_57_24 = e3) &
% 192.35/30.28 | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_26 = e2) & ~ (all_57_28 = e1) &
% 192.35/30.28 | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_30 = e0) & op(e1, e1) = all_57_21
% 192.35/30.28 | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e0) = e1 & op(e0, all_57_25) =
% 192.35/30.28 | | | | | | | | | | | | | | | | | | | | | | | all_57_24 & op(e0, all_57_27) = all_57_26 &
% 192.35/30.28 | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_29) = all_57_28 & op(e0,
% 192.35/30.28 | | | | | | | | | | | | | | | | | | | | | | | all_57_31) = all_57_30 & op(e0, e3) =
% 192.35/30.28 | | | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_27 & op(e0,
% 192.35/30.28 | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_29 & $i(all_57_21) &
% 192.35/30.28 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_24) & $i(all_57_25) &
% 192.35/30.28 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_27) &
% 192.35/30.28 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28) & $i(all_57_29) &
% 192.35/30.28 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_25 = e0 & ~
% 192.35/30.28 | | | | | | | | | | | | | | | | | | | | | | | (all_57_0 = e3) & ~ (all_57_2 = e2) & ~
% 192.35/30.28 | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1) & ~ (all_57_6 = e0) & ~
% 192.35/30.28 | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e3) & op(e3, all_57_1) =
% 192.35/30.28 | | | | | | | | | | | | | | | | | | | | | | | all_57_0 & op(e3, all_57_3) = all_57_2 &
% 192.35/30.28 | | | | | | | | | | | | | | | | | | | | | | | op(e3, all_57_5) = all_57_4 & op(e3,
% 192.35/30.28 | | | | | | | | | | | | | | | | | | | | | | | all_57_7) = all_57_6 & op(e3, e3) =
% 192.35/30.28 | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e2) = all_57_3 & op(e3,
% 192.35/30.28 | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_5 & op(e3, e0) = all_57_7 &
% 192.35/30.28 | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_0) &
% 192.35/30.28 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_2) & $i(all_57_3) &
% 192.35/30.28 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4) & $i(all_57_5) & $i(all_57_6) &
% 192.35/30.28 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7)) | (all_57_27 = e0 & ~
% 192.35/30.28 | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e3) & ~ (all_57_10 = e2) & ~
% 192.35/30.28 | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e1) & ~ (all_57_14 = e0) & ~
% 192.35/30.28 | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e2) & op(e2, all_57_9) =
% 192.35/30.28 | | | | | | | | | | | | | | | | | | | | | | | all_57_8 & op(e2, all_57_11) = all_57_10 &
% 192.35/30.28 | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_13) = all_57_12 & op(e2,
% 192.35/30.28 | | | | | | | | | | | | | | | | | | | | | | | all_57_15) = all_57_14 & op(e2, e3) =
% 192.35/30.28 | | | | | | | | | | | | | | | | | | | | | | | all_57_9 & op(e2, e2) = all_57_11 & op(e2,
% 192.35/30.28 | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_13 & op(e2, e0) = all_57_15 &
% 192.35/30.28 | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_8) &
% 192.35/30.28 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9) & $i(all_57_10) & $i(all_57_11)
% 192.35/30.28 | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_12) & $i(all_57_13) &
% 192.35/30.28 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & $i(all_57_15)) | (all_57_29
% 192.35/30.28 | | | | | | | | | | | | | | | | | | | | | | | = e0 & ~ (all_57_16 = e3) & ~ (all_57_18 =
% 192.35/30.28 | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_20 = e1) & ~ (all_57_22
% 192.35/30.28 | | | | | | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_31 = e1) & op(e1,
% 192.35/30.28 | | | | | | | | | | | | | | | | | | | | | | | all_57_17) = all_57_16 & op(e1, all_57_19)
% 192.35/30.28 | | | | | | | | | | | | | | | | | | | | | | | = all_57_18 & op(e1, all_57_21) = all_57_20
% 192.35/30.28 | | | | | | | | | | | | | | | | | | | | | | | & op(e1, all_57_23) = all_57_22 & op(e1, e3)
% 192.35/30.28 | | | | | | | | | | | | | | | | | | | | | | | = all_57_17 & op(e1, e2) = all_57_19 &
% 192.35/30.28 | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_21 & op(e1, e0) =
% 192.35/30.28 | | | | | | | | | | | | | | | | | | | | | | | all_57_23 & op(e0, e1) = e0 & $i(all_57_16)
% 192.35/30.28 | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_17) & $i(all_57_18) &
% 192.35/30.28 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_20) &
% 192.35/30.28 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_22) &
% 192.35/30.28 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23))))
% 192.35/30.28 | | | | | | | | | | | | | | | | | | | | | | |
% 192.35/30.28 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (737) gives:
% 192.35/30.28 | | | | | | | | | | | | | | | | | | | | | | |
% 192.35/30.28 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.35/30.28 | | | | | | | | | | | | | | | | | | | | | | | |
% 192.35/30.28 | | | | | | | | | | | | | | | | | | | | | | | | (738) all_57_19 = e1 & ~ (all_57_8 = e3) & ~
% 192.35/30.28 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e2) & ~ (all_57_12 = e1) & ~
% 192.35/30.28 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e0) & ~ (all_57_21 = e2) & op(e2,
% 192.35/30.28 | | | | | | | | | | | | | | | | | | | | | | | | all_57_9) = all_57_8 & op(e2, all_57_11) =
% 192.35/30.28 | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e2, all_57_13) = all_57_12 & op(e2,
% 192.35/30.28 | | | | | | | | | | | | | | | | | | | | | | | | all_57_15) = all_57_14 & op(e2, e3) = all_57_9 &
% 192.35/30.28 | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_11 & op(e2, e1) = all_57_13 &
% 192.35/30.28 | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_15 & op(e1, e2) = e1 & op(e1,
% 192.35/30.28 | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_21 & $i(all_57_8) & $i(all_57_9) &
% 192.35/30.28 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & $i(all_57_11) & $i(all_57_12) &
% 192.35/30.28 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13) & $i(all_57_14) & $i(all_57_15) &
% 192.35/30.28 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21)
% 192.35/30.28 | | | | | | | | | | | | | | | | | | | | | | | |
% 192.35/30.28 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (738) implies:
% 192.35/30.28 | | | | | | | | | | | | | | | | | | | | | | | | (739) ~ (all_57_10 = e2)
% 192.35/30.28 | | | | | | | | | | | | | | | | | | | | | | | | (740) op(e2, e2) = all_57_11
% 192.35/30.28 | | | | | | | | | | | | | | | | | | | | | | | | (741) op(e2, all_57_11) = all_57_10
% 192.35/30.28 | | | | | | | | | | | | | | | | | | | | | | | |
% 192.35/30.28 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (158), (162), (170), (227), (390), (391), (392),
% 192.35/30.28 | | | | | | | | | | | | | | | | | | | | | | | | (739), (740), (741), (function-axioms) are
% 192.35/30.28 | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1967.
% 192.35/30.28 | | | | | | | | | | | | | | | | | | | | | | | |
% 192.35/30.28 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.35/30.28 | | | | | | | | | | | | | | | | | | | | | | | |
% 192.35/30.28 | | | | | | | | | | | | | | | | | | | | | | | | (742) op(e0, e0) = all_57_31 & $i(all_57_31) &
% 192.35/30.28 | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_23 = e1 & ~ (all_57_21 = e0) & ~
% 192.35/30.28 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 192.35/30.28 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) &
% 192.35/30.28 | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_21 & op(e1, e0) = e1 &
% 192.35/30.28 | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_25) = all_57_24 & op(e0,
% 192.35/30.28 | | | | | | | | | | | | | | | | | | | | | | | | all_57_27) = all_57_26 & op(e0, all_57_29) =
% 192.35/30.28 | | | | | | | | | | | | | | | | | | | | | | | | all_57_28 & op(e0, all_57_31) = all_57_30 &
% 192.35/30.28 | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_25 & op(e0, e2) =
% 192.35/30.28 | | | | | | | | | | | | | | | | | | | | | | | | all_57_27 & op(e0, e1) = all_57_29 &
% 192.35/30.28 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_24) & $i(all_57_25)
% 192.35/30.28 | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_26) & $i(all_57_27) &
% 192.35/30.28 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28) & $i(all_57_29) & $i(all_57_30))
% 192.35/30.28 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_25 = e0 & ~ (all_57_0 = e3) & ~
% 192.35/30.28 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e2) & ~ (all_57_4 = e1) & ~
% 192.35/30.28 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_6 = e0) & ~ (all_57_31 = e3) & op(e3,
% 192.35/30.28 | | | | | | | | | | | | | | | | | | | | | | | | all_57_1) = all_57_0 & op(e3, all_57_3) =
% 192.35/30.28 | | | | | | | | | | | | | | | | | | | | | | | | all_57_2 & op(e3, all_57_5) = all_57_4 &
% 192.35/30.28 | | | | | | | | | | | | | | | | | | | | | | | | op(e3, all_57_7) = all_57_6 & op(e3, e3) =
% 192.35/30.28 | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e2) = all_57_3 & op(e3, e1)
% 192.35/30.28 | | | | | | | | | | | | | | | | | | | | | | | | = all_57_5 & op(e3, e0) = all_57_7 & op(e0,
% 192.35/30.28 | | | | | | | | | | | | | | | | | | | | | | | | e3) = e0 & $i(all_57_0) & $i(all_57_1) &
% 192.35/30.28 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_2) & $i(all_57_3) & $i(all_57_4) &
% 192.35/30.28 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_6) & $i(all_57_7)) |
% 192.35/30.28 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_27 = e0 & ~ (all_57_8 = e3) & ~
% 192.35/30.28 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e2) & ~ (all_57_12 = e1) & ~
% 192.35/30.28 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e0) & ~ (all_57_31 = e2) &
% 192.35/30.28 | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_9) = all_57_8 & op(e2,
% 192.35/30.28 | | | | | | | | | | | | | | | | | | | | | | | | all_57_11) = all_57_10 & op(e2, all_57_13) =
% 192.35/30.28 | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & op(e2, all_57_15) = all_57_14 &
% 192.35/30.28 | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_9 & op(e2, e2) = all_57_11
% 192.35/30.28 | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = all_57_13 & op(e2, e0) =
% 192.35/30.28 | | | | | | | | | | | | | | | | | | | | | | | | all_57_15 & op(e0, e2) = e0 & $i(all_57_8) &
% 192.35/30.28 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9) & $i(all_57_10) & $i(all_57_11) &
% 192.35/30.28 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & $i(all_57_13) & $i(all_57_14)
% 192.35/30.28 | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_15)) | (all_57_29 = e0 & ~
% 192.35/30.28 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_16 = e3) & ~ (all_57_18 = e2) & ~
% 192.35/30.28 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_22 = e0) & ~
% 192.35/30.28 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e1) & op(e1, all_57_17) =
% 192.35/30.28 | | | | | | | | | | | | | | | | | | | | | | | | all_57_16 & op(e1, all_57_19) = all_57_18 &
% 192.35/30.28 | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_21) = all_57_20 & op(e1,
% 192.35/30.28 | | | | | | | | | | | | | | | | | | | | | | | | all_57_23) = all_57_22 & op(e1, e3) =
% 192.35/30.28 | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e1, e2) = all_57_19 & op(e1,
% 192.35/30.28 | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_21 & op(e1, e0) = all_57_23 &
% 192.35/30.28 | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_16) &
% 192.35/30.28 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_17) & $i(all_57_18) & $i(all_57_19)
% 192.35/30.28 | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_20) & $i(all_57_21) &
% 192.35/30.28 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_23)))
% 192.35/30.28 | | | | | | | | | | | | | | | | | | | | | | | |
% 192.35/30.28 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (742) implies:
% 192.35/30.28 | | | | | | | | | | | | | | | | | | | | | | | | (743) op(e0, e0) = all_57_31
% 192.35/30.28 | | | | | | | | | | | | | | | | | | | | | | | | (744) (all_57_23 = e1 & ~ (all_57_21 = e0) & ~
% 192.35/30.28 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 192.35/30.28 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) & op(e1,
% 192.35/30.28 | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_21 & op(e1, e0) = e1 & op(e0,
% 192.35/30.28 | | | | | | | | | | | | | | | | | | | | | | | | all_57_25) = all_57_24 & op(e0, all_57_27) =
% 192.35/30.28 | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e0, all_57_29) = all_57_28 &
% 192.35/30.28 | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_31) = all_57_30 & op(e0, e3) =
% 192.35/30.28 | | | | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_27 & op(e0, e1)
% 192.35/30.28 | | | | | | | | | | | | | | | | | | | | | | | | = all_57_29 & $i(all_57_21) & $i(all_57_24) &
% 192.35/30.28 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_25) & $i(all_57_26) & $i(all_57_27) &
% 192.35/30.28 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28) & $i(all_57_29) & $i(all_57_30)) |
% 192.35/30.28 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_25 = e0 & ~ (all_57_0 = e3) & ~
% 192.35/30.28 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e2) & ~ (all_57_4 = e1) & ~
% 192.35/30.28 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_6 = e0) & ~ (all_57_31 = e3) & op(e3,
% 192.35/30.28 | | | | | | | | | | | | | | | | | | | | | | | | all_57_1) = all_57_0 & op(e3, all_57_3) =
% 192.35/30.28 | | | | | | | | | | | | | | | | | | | | | | | | all_57_2 & op(e3, all_57_5) = all_57_4 & op(e3,
% 192.35/30.28 | | | | | | | | | | | | | | | | | | | | | | | | all_57_7) = all_57_6 & op(e3, e3) = all_57_1 &
% 192.35/30.28 | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_3 & op(e3, e1) = all_57_5 &
% 192.35/30.28 | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_7 & op(e0, e3) = e0 &
% 192.35/30.28 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_0) & $i(all_57_1) & $i(all_57_2) &
% 192.35/30.28 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_3) & $i(all_57_4) & $i(all_57_5) &
% 192.35/30.28 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_6) & $i(all_57_7)) | (all_57_27 = e0 &
% 192.35/30.28 | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_8 = e3) & ~ (all_57_10 = e2) & ~
% 192.35/30.28 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e1) & ~ (all_57_14 = e0) & ~
% 192.35/30.28 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e2) & op(e2, all_57_9) = all_57_8 &
% 192.35/30.28 | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_11) = all_57_10 & op(e2,
% 192.35/30.28 | | | | | | | | | | | | | | | | | | | | | | | | all_57_13) = all_57_12 & op(e2, all_57_15) =
% 192.35/30.28 | | | | | | | | | | | | | | | | | | | | | | | | all_57_14 & op(e2, e3) = all_57_9 & op(e2, e2) =
% 192.35/30.28 | | | | | | | | | | | | | | | | | | | | | | | | all_57_11 & op(e2, e1) = all_57_13 & op(e2, e0)
% 192.35/30.28 | | | | | | | | | | | | | | | | | | | | | | | | = all_57_15 & op(e0, e2) = e0 & $i(all_57_8) &
% 192.35/30.28 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9) & $i(all_57_10) & $i(all_57_11) &
% 192.35/30.28 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & $i(all_57_13) & $i(all_57_14) &
% 192.35/30.28 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15)) | (all_57_29 = e0 & ~ (all_57_16
% 192.35/30.28 | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_18 = e2) & ~ (all_57_20 =
% 192.35/30.28 | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_22 = e0) & ~ (all_57_31 =
% 192.35/30.28 | | | | | | | | | | | | | | | | | | | | | | | | e1) & op(e1, all_57_17) = all_57_16 & op(e1,
% 192.35/30.28 | | | | | | | | | | | | | | | | | | | | | | | | all_57_19) = all_57_18 & op(e1, all_57_21) =
% 192.35/30.28 | | | | | | | | | | | | | | | | | | | | | | | | all_57_20 & op(e1, all_57_23) = all_57_22 &
% 192.35/30.28 | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_17 & op(e1, e2) = all_57_19
% 192.35/30.28 | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = all_57_21 & op(e1, e0) =
% 192.35/30.28 | | | | | | | | | | | | | | | | | | | | | | | | all_57_23 & op(e0, e1) = e0 & $i(all_57_16) &
% 192.35/30.28 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_17) & $i(all_57_18) & $i(all_57_19) &
% 192.35/30.28 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_20) & $i(all_57_21) & $i(all_57_22) &
% 192.35/30.28 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23))
% 192.35/30.28 | | | | | | | | | | | | | | | | | | | | | | | |
% 192.35/30.28 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (229) gives:
% 192.35/30.28 | | | | | | | | | | | | | | | | | | | | | | | |
% 192.35/30.28 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.35/30.28 | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.35/30.28 | | | | | | | | | | | | | | | | | | | | | | | | | (745) (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0
% 192.35/30.28 | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e0)
% 192.35/30.28 | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.35/30.28 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (745) gives:
% 192.35/30.28 | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.35/30.28 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.35/30.28 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.35/30.28 | | | | | | | | | | | | | | | | | | | | | | | | | | (746) all_56_0 = e0 & op(e3, e3) = e0
% 192.35/30.28 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.35/30.28 | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e2,
% 192.35/30.28 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_31, e0, e0, simplifying with (493), (743)
% 192.35/30.28 | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 192.35/30.28 | | | | | | | | | | | | | | | | | | | | | | | | | | (747) all_57_31 = e2
% 192.35/30.28 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.35/30.28 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (193) gives:
% 192.35/30.28 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.35/30.28 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.35/30.28 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.35/30.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | (748) all_54_11 = e3
% 192.35/30.28 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.35/30.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (250), (583), (748) are inconsistent by sub-proof
% 192.35/30.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | #1835.
% 192.35/30.28 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.35/30.28 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.35/30.28 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.35/30.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | (749) ~ (all_54_11 = e3)
% 192.35/30.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | (750) all_54_11 = e2 | all_54_11 = e1 | all_54_11 = e0
% 192.35/30.28 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.35/30.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (201) gives:
% 192.35/30.28 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.35/30.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.35/30.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.35/30.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (751) all_54_3 = e3
% 192.35/30.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.35/30.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (270), (751) imply:
% 192.35/30.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (752) all_52_12 = e3
% 192.35/30.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.35/30.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (133), (752) imply:
% 192.35/30.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (753) ~ (all_52_4 = e3)
% 192.35/30.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.35/30.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (168), (752) imply:
% 192.35/30.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (754) op(e3, e0) = e3
% 192.35/30.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.35/30.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (232) gives:
% 192.35/30.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.35/30.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.35/30.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.35/30.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (755) (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_1 = e1
% 192.35/30.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e1)
% 192.35/30.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.35/30.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (755) gives:
% 192.35/30.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.35/30.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.35/30.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.35/30.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (756) all_56_0 = e1 & op(e3, e3) = e1
% 192.35/30.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.35/30.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (756) implies:
% 192.35/30.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (757) op(e3, e3) = e1
% 192.35/30.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.86/30.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (730), (757), (function-axioms) are
% 192.86/30.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1834.
% 192.86/30.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.86/30.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.86/30.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.86/30.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (758) all_56_1 = e1 & op(e3, e2) = e1
% 192.86/30.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.86/30.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (758) implies:
% 192.86/30.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (759) all_56_1 = e1
% 192.86/30.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.86/30.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (224) gives:
% 192.86/30.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.86/30.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.86/30.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.86/30.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (760) (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3
% 192.86/30.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e3)
% 192.86/30.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.86/30.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (760) gives:
% 192.86/30.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.86/30.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.86/30.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.86/30.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (761) all_56_2 = e3 & op(e2, e3) = e3
% 192.86/30.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.86/30.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (761) implies:
% 192.86/30.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (762) op(e2, e3) = e3
% 192.86/30.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.86/30.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (239) gives:
% 192.86/30.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.86/30.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.86/30.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.86/30.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (763) (all_57_1 = e2 & ~ (all_57_3 = e3) & ~ (all_57_8
% 192.86/30.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_10 = e2) & ~ (all_57_12 =
% 192.86/30.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_14 = e0) & op(e3, e3) = e2 &
% 192.86/30.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_3 & op(e2, all_57_9) =
% 192.86/30.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_8 & op(e2, all_57_11) = all_57_10 &
% 192.86/30.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_13) = all_57_12 & op(e2,
% 192.86/30.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15) = all_57_14 & op(e2, e3) = all_57_9
% 192.86/30.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = all_57_11 & op(e2, e1) =
% 192.86/30.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_13 & op(e2, e0) = all_57_15 &
% 192.86/30.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_3) & $i(all_57_8) & $i(all_57_9) &
% 192.86/30.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & $i(all_57_11) & $i(all_57_12) &
% 192.86/30.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13) & $i(all_57_14) & $i(all_57_15)) |
% 192.86/30.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e1 & ~ (all_57_5 = e3) & ~
% 192.86/30.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_16 = e3) & ~ (all_57_18 = e2) & ~
% 192.86/30.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_22 = e0) & op(e3,
% 192.86/30.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e1 & op(e3, e1) = all_57_5 & op(e1,
% 192.86/30.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17) = all_57_16 & op(e1, all_57_19) =
% 192.86/30.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_18 & op(e1, all_57_21) = all_57_20 &
% 192.86/30.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_23) = all_57_22 & op(e1, e3) =
% 192.86/30.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e1, e2) = all_57_19 & op(e1, e1)
% 192.86/30.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_21 & op(e1, e0) = all_57_23 &
% 192.86/30.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_16) & $i(all_57_17) &
% 192.86/30.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_19) & $i(all_57_20) &
% 192.86/30.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_22) & $i(all_57_23)) |
% 192.86/30.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e0 & ~ (all_57_7 = e3) & ~
% 192.86/30.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 192.86/30.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) & op(e3,
% 192.86/30.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e0 & op(e3, e0) = all_57_7 & op(e0,
% 192.86/30.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25) = all_57_24 & op(e0, all_57_27) =
% 192.86/30.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e0, all_57_29) = all_57_28 &
% 192.86/30.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_31) = all_57_30 & op(e0, e3) =
% 192.86/30.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_27 & op(e0, e1)
% 192.86/30.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_29 & op(e0, e0) = all_57_31 &
% 192.86/30.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7) & $i(all_57_24) & $i(all_57_25) &
% 192.86/30.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_27) & $i(all_57_28) &
% 192.86/30.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29) & $i(all_57_30) & $i(all_57_31)) |
% 192.86/30.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e3 & ~ (all_57_0 = e3) & ~
% 192.86/30.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e2) & ~ (all_57_4 = e1) & ~
% 192.86/30.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_6 = e0) & ~ (all_57_9 = e2) & op(e3,
% 192.86/30.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1) = all_57_0 & op(e3, all_57_3) =
% 192.86/30.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_2 & op(e3, all_57_5) = all_57_4 & op(e3,
% 192.86/30.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7) = all_57_6 & op(e3, e3) = all_57_1 &
% 192.86/30.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_3 & op(e3, e1) = all_57_5 &
% 192.86/30.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_7 & op(e2, e3) = all_57_9 &
% 192.86/30.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e3 & $i(all_57_0) & $i(all_57_1) &
% 192.86/30.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_2) & $i(all_57_3) & $i(all_57_4) &
% 192.86/30.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 192.86/30.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9))
% 192.86/30.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.87/30.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (763) gives:
% 192.87/30.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.87/30.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.87/30.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.87/30.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (764) (all_57_1 = e2 & ~ (all_57_3 = e3) & ~ (all_57_8
% 192.87/30.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_10 = e2) & ~ (all_57_12 =
% 192.87/30.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_14 = e0) & op(e3, e3) = e2 &
% 192.87/30.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_3 & op(e2, all_57_9) =
% 192.87/30.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_8 & op(e2, all_57_11) = all_57_10 &
% 192.87/30.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_13) = all_57_12 & op(e2,
% 192.87/30.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15) = all_57_14 & op(e2, e3) = all_57_9
% 192.87/30.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = all_57_11 & op(e2, e1) =
% 192.87/30.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_13 & op(e2, e0) = all_57_15 &
% 192.87/30.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_3) & $i(all_57_8) & $i(all_57_9) &
% 192.87/30.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & $i(all_57_11) & $i(all_57_12) &
% 192.87/30.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13) & $i(all_57_14) & $i(all_57_15)) |
% 192.87/30.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e1 & ~ (all_57_5 = e3) & ~
% 192.87/30.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_16 = e3) & ~ (all_57_18 = e2) & ~
% 192.87/30.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_22 = e0) & op(e3,
% 192.87/30.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e1 & op(e3, e1) = all_57_5 & op(e1,
% 192.87/30.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17) = all_57_16 & op(e1, all_57_19) =
% 192.87/30.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_18 & op(e1, all_57_21) = all_57_20 &
% 192.87/30.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_23) = all_57_22 & op(e1, e3) =
% 192.87/30.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e1, e2) = all_57_19 & op(e1, e1)
% 192.87/30.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_21 & op(e1, e0) = all_57_23 &
% 192.87/30.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_16) & $i(all_57_17) &
% 192.87/30.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_19) & $i(all_57_20) &
% 192.87/30.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_22) & $i(all_57_23))
% 192.87/30.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.87/30.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (730), (764), (function-axioms) are
% 192.87/30.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1833.
% 192.87/30.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.87/30.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.87/30.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.87/30.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (765) (all_57_1 = e0 & ~ (all_57_7 = e3) & ~
% 192.87/30.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 192.87/30.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) & op(e3,
% 192.87/30.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e0 & op(e3, e0) = all_57_7 & op(e0,
% 192.87/30.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25) = all_57_24 & op(e0, all_57_27) =
% 192.87/30.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e0, all_57_29) = all_57_28 &
% 192.87/30.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_31) = all_57_30 & op(e0, e3) =
% 192.87/30.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_27 & op(e0, e1)
% 192.87/30.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_29 & op(e0, e0) = all_57_31 &
% 192.87/30.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7) & $i(all_57_24) & $i(all_57_25) &
% 192.87/30.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_27) & $i(all_57_28) &
% 192.87/30.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29) & $i(all_57_30) & $i(all_57_31)) |
% 192.87/30.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e3 & ~ (all_57_0 = e3) & ~
% 192.87/30.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e2) & ~ (all_57_4 = e1) & ~
% 192.87/30.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_6 = e0) & ~ (all_57_9 = e2) & op(e3,
% 192.87/30.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1) = all_57_0 & op(e3, all_57_3) =
% 192.87/30.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_2 & op(e3, all_57_5) = all_57_4 & op(e3,
% 192.87/30.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7) = all_57_6 & op(e3, e3) = all_57_1 &
% 192.87/30.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_3 & op(e3, e1) = all_57_5 &
% 192.87/30.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_7 & op(e2, e3) = all_57_9 &
% 192.87/30.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e3 & $i(all_57_0) & $i(all_57_1) &
% 192.87/30.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_2) & $i(all_57_3) & $i(all_57_4) &
% 192.87/30.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 192.87/30.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9))
% 192.87/30.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.87/30.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (730), (754), (765), (function-axioms) are
% 192.87/30.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1831.
% 192.87/30.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.87/30.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.87/30.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.87/30.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.87/30.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.87/30.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (766) (all_57_11 = e1 & ~ (all_57_13 = e2) & ~
% 192.87/30.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_16 = e3) & ~ (all_57_18 = e2) & ~
% 192.87/30.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_22 = e0) & op(e2,
% 192.87/30.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e1 & op(e2, e1) = all_57_13 & op(e1,
% 192.87/30.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17) = all_57_16 & op(e1, all_57_19) =
% 192.87/30.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_18 & op(e1, all_57_21) = all_57_20 &
% 192.87/30.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_23) = all_57_22 & op(e1, e3) =
% 192.87/30.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e1, e2) = all_57_19 & op(e1, e1)
% 192.87/30.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_21 & op(e1, e0) = all_57_23 &
% 192.87/30.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13) & $i(all_57_16) & $i(all_57_17) &
% 192.87/30.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_19) & $i(all_57_20) &
% 192.87/30.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_22) & $i(all_57_23)) |
% 192.87/30.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e0 & ~ (all_57_15 = e2) & ~
% 192.87/30.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 192.87/30.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) & op(e2,
% 192.87/30.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e0 & op(e2, e0) = all_57_15 & op(e0,
% 192.87/30.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25) = all_57_24 & op(e0, all_57_27) =
% 192.87/30.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e0, all_57_29) = all_57_28 &
% 192.87/30.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_31) = all_57_30 & op(e0, e3) =
% 192.87/30.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_27 & op(e0, e1)
% 192.87/30.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_29 & op(e0, e0) = all_57_31 &
% 192.87/30.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & $i(all_57_24) & $i(all_57_25) &
% 192.87/30.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_27) & $i(all_57_28) &
% 192.87/30.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29) & $i(all_57_30) & $i(all_57_31)) |
% 192.87/30.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e3 & ~ (all_57_0 = e3) & ~
% 192.87/30.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e2) & ~ (all_57_4 = e1) & ~
% 192.87/30.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_6 = e0) & ~ (all_57_17 = e1) & op(e3,
% 192.87/30.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1) = all_57_0 & op(e3, all_57_3) =
% 192.87/30.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_2 & op(e3, all_57_5) = all_57_4 & op(e3,
% 192.87/30.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7) = all_57_6 & op(e3, e3) = all_57_1 &
% 192.87/30.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_3 & op(e3, e1) = all_57_5 &
% 192.87/30.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_7 & op(e1, e3) = all_57_17 &
% 192.87/30.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e3 & $i(all_57_0) & $i(all_57_1) &
% 192.87/30.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_2) & $i(all_57_3) & $i(all_57_4) &
% 192.87/30.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 192.87/30.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_17)) | (all_57_21 = e2 & ~ (all_57_8
% 192.87/30.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_10 = e2) & ~ (all_57_12 =
% 192.87/30.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_14 = e0) & ~ (all_57_19 =
% 192.87/30.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & op(e2, all_57_9) = all_57_8 & op(e2,
% 192.87/30.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_11) = all_57_10 & op(e2, all_57_13) =
% 192.87/30.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & op(e2, all_57_15) = all_57_14 &
% 192.87/30.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_9 & op(e2, e2) = all_57_11 &
% 192.87/30.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_57_13 & op(e2, e0) = all_57_15
% 192.87/30.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = all_57_19 & op(e1, e1) = e2 &
% 192.87/30.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8) & $i(all_57_9) & $i(all_57_10) &
% 192.87/30.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_12) & $i(all_57_13) &
% 192.87/30.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & $i(all_57_15) & $i(all_57_19)) |
% 192.87/30.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (op(e0, e0) = all_57_31 & $i(all_57_31) &
% 192.87/30.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_21 = e0 & ~ (all_57_23 = e1) & ~
% 192.87/30.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 192.87/30.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) &
% 192.87/30.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = all_57_23 &
% 192.87/30.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_25) = all_57_24 & op(e0,
% 192.87/30.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27) = all_57_26 & op(e0, all_57_29)
% 192.87/30.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_28 & op(e0, all_57_31) = all_57_30
% 192.87/30.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e3) = all_57_25 & op(e0, e2) =
% 192.87/30.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27 & op(e0, e1) = all_57_29 &
% 192.87/30.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23) & $i(all_57_24) &
% 192.87/30.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_25) & $i(all_57_26) &
% 192.87/30.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27) & $i(all_57_28) &
% 192.87/30.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29) & $i(all_57_30)) | (all_57_31
% 192.87/30.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & ~ (all_57_0 = e3) & ~ (all_57_2 =
% 192.87/30.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_4 = e1) & ~ (all_57_6 =
% 192.87/30.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_25 = e0) & op(e3,
% 192.87/30.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1) = all_57_0 & op(e3, all_57_3) =
% 192.87/30.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_2 & op(e3, all_57_5) = all_57_4 &
% 192.87/30.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, all_57_7) = all_57_6 & op(e3, e3) =
% 192.87/30.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e2) = all_57_3 & op(e3,
% 192.87/30.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_5 & op(e3, e0) = all_57_7 &
% 192.87/30.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_25 & $i(all_57_0) &
% 192.87/30.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_2) & $i(all_57_3) &
% 192.87/30.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4) & $i(all_57_5) & $i(all_57_6) &
% 192.87/30.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7) & $i(all_57_25)) | (all_57_31 =
% 192.87/30.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_8 = e3) & ~ (all_57_10 =
% 192.87/30.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_12 = e1) & ~ (all_57_14
% 192.87/30.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_27 = e0) & op(e2,
% 192.87/30.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_9) = all_57_8 & op(e2, all_57_11) =
% 192.87/30.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e2, all_57_13) = all_57_12 &
% 192.87/30.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_15) = all_57_14 & op(e2, e3) =
% 192.87/30.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_9 & op(e2, e2) = all_57_11 & op(e2,
% 192.87/30.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_13 & op(e2, e0) = all_57_15 &
% 192.87/30.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_27 & $i(all_57_8) &
% 192.87/30.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9) & $i(all_57_10) & $i(all_57_11)
% 192.87/30.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_12) & $i(all_57_13) &
% 192.87/30.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & $i(all_57_15) &
% 192.87/30.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27)) | (all_57_31 = e1 & ~
% 192.87/30.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_16 = e3) & ~ (all_57_18 = e2) & ~
% 192.87/30.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_22 = e0) & ~
% 192.87/30.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_29 = e0) & op(e1, all_57_17) =
% 192.87/30.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_16 & op(e1, all_57_19) = all_57_18 &
% 192.87/30.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_21) = all_57_20 & op(e1,
% 192.87/30.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23) = all_57_22 & op(e1, e3) =
% 192.87/30.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e1, e2) = all_57_19 & op(e1,
% 192.87/30.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_21 & op(e1, e0) = all_57_23 &
% 192.87/30.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = all_57_29 & $i(all_57_16) &
% 192.87/30.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_17) & $i(all_57_18) &
% 192.87/30.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_20) &
% 192.87/30.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_22) &
% 192.87/30.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23) & $i(all_57_29))))
% 192.87/30.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.87/30.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (766) gives:
% 192.87/30.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.87/30.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.87/30.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.87/30.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (767) (all_57_11 = e1 & ~ (all_57_13 = e2) & ~
% 192.87/30.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_16 = e3) & ~ (all_57_18 = e2) & ~
% 192.87/30.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_22 = e0) & op(e2,
% 192.87/30.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e1 & op(e2, e1) = all_57_13 & op(e1,
% 192.87/30.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17) = all_57_16 & op(e1, all_57_19) =
% 192.87/30.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_18 & op(e1, all_57_21) = all_57_20 &
% 192.87/30.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_23) = all_57_22 & op(e1, e3) =
% 192.87/30.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e1, e2) = all_57_19 & op(e1, e1)
% 192.87/30.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_21 & op(e1, e0) = all_57_23 &
% 192.87/30.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13) & $i(all_57_16) & $i(all_57_17) &
% 192.87/30.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_19) & $i(all_57_20) &
% 192.87/30.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_22) & $i(all_57_23)) |
% 192.87/30.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e0 & ~ (all_57_15 = e2) & ~
% 192.87/30.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 192.87/30.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) & op(e2,
% 192.87/30.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e0 & op(e2, e0) = all_57_15 & op(e0,
% 192.87/30.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25) = all_57_24 & op(e0, all_57_27) =
% 192.87/30.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e0, all_57_29) = all_57_28 &
% 192.87/30.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_31) = all_57_30 & op(e0, e3) =
% 192.87/30.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_27 & op(e0, e1)
% 192.87/30.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_29 & op(e0, e0) = all_57_31 &
% 192.87/30.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & $i(all_57_24) & $i(all_57_25) &
% 192.87/30.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_27) & $i(all_57_28) &
% 192.87/30.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29) & $i(all_57_30) & $i(all_57_31))
% 192.87/30.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.87/30.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (396), (767), (function-axioms) are
% 192.87/30.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1959.
% 192.87/30.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.87/30.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.87/30.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.87/30.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (768) (all_57_21 = e3 & ~ (all_57_0 = e3) & ~
% 192.87/30.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e2) & ~ (all_57_4 = e1) & ~
% 192.87/30.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_6 = e0) & ~ (all_57_17 = e1) & op(e3,
% 192.87/30.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1) = all_57_0 & op(e3, all_57_3) =
% 192.87/30.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_2 & op(e3, all_57_5) = all_57_4 & op(e3,
% 192.87/30.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7) = all_57_6 & op(e3, e3) = all_57_1 &
% 192.87/30.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_3 & op(e3, e1) = all_57_5 &
% 192.87/30.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_7 & op(e1, e3) = all_57_17 &
% 192.87/30.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e3 & $i(all_57_0) & $i(all_57_1) &
% 192.87/30.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_2) & $i(all_57_3) & $i(all_57_4) &
% 192.87/30.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 192.87/30.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_17)) | (all_57_21 = e2 & ~ (all_57_8
% 192.87/30.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_10 = e2) & ~ (all_57_12 =
% 192.87/30.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_14 = e0) & ~ (all_57_19 =
% 192.87/30.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & op(e2, all_57_9) = all_57_8 & op(e2,
% 192.87/30.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_11) = all_57_10 & op(e2, all_57_13) =
% 192.87/30.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & op(e2, all_57_15) = all_57_14 &
% 192.87/30.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_9 & op(e2, e2) = all_57_11 &
% 192.87/30.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_57_13 & op(e2, e0) = all_57_15
% 192.87/30.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = all_57_19 & op(e1, e1) = e2 &
% 192.87/30.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8) & $i(all_57_9) & $i(all_57_10) &
% 192.87/30.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_12) & $i(all_57_13) &
% 192.87/30.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & $i(all_57_15) & $i(all_57_19)) |
% 192.87/30.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (op(e0, e0) = all_57_31 & $i(all_57_31) &
% 192.87/30.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_21 = e0 & ~ (all_57_23 = e1) & ~
% 192.87/30.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 192.87/30.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) &
% 192.87/30.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = all_57_23 &
% 192.87/30.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_25) = all_57_24 & op(e0,
% 192.87/30.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27) = all_57_26 & op(e0, all_57_29)
% 192.87/30.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_28 & op(e0, all_57_31) = all_57_30
% 192.87/30.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e3) = all_57_25 & op(e0, e2) =
% 192.87/30.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27 & op(e0, e1) = all_57_29 &
% 192.87/30.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23) & $i(all_57_24) &
% 192.87/30.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_25) & $i(all_57_26) &
% 192.87/30.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27) & $i(all_57_28) &
% 192.87/30.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29) & $i(all_57_30)) | (all_57_31
% 192.87/30.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & ~ (all_57_0 = e3) & ~ (all_57_2 =
% 192.87/30.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_4 = e1) & ~ (all_57_6 =
% 192.87/30.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_25 = e0) & op(e3,
% 192.87/30.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1) = all_57_0 & op(e3, all_57_3) =
% 192.87/30.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_2 & op(e3, all_57_5) = all_57_4 &
% 192.87/30.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, all_57_7) = all_57_6 & op(e3, e3) =
% 192.87/30.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e2) = all_57_3 & op(e3,
% 192.87/30.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_5 & op(e3, e0) = all_57_7 &
% 192.87/30.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_25 & $i(all_57_0) &
% 192.87/30.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_2) & $i(all_57_3) &
% 192.87/30.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4) & $i(all_57_5) & $i(all_57_6) &
% 192.87/30.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7) & $i(all_57_25)) | (all_57_31 =
% 192.87/30.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_8 = e3) & ~ (all_57_10 =
% 192.87/30.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_12 = e1) & ~ (all_57_14
% 192.87/30.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_27 = e0) & op(e2,
% 192.87/30.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_9) = all_57_8 & op(e2, all_57_11) =
% 192.87/30.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e2, all_57_13) = all_57_12 &
% 192.87/30.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_15) = all_57_14 & op(e2, e3) =
% 192.87/30.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_9 & op(e2, e2) = all_57_11 & op(e2,
% 192.87/30.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_13 & op(e2, e0) = all_57_15 &
% 192.87/30.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_27 & $i(all_57_8) &
% 192.87/30.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9) & $i(all_57_10) & $i(all_57_11)
% 192.87/30.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_12) & $i(all_57_13) &
% 192.87/30.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & $i(all_57_15) &
% 192.87/30.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27)) | (all_57_31 = e1 & ~
% 192.87/30.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_16 = e3) & ~ (all_57_18 = e2) & ~
% 192.87/30.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_22 = e0) & ~
% 192.87/30.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_29 = e0) & op(e1, all_57_17) =
% 192.87/30.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_16 & op(e1, all_57_19) = all_57_18 &
% 192.87/30.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_21) = all_57_20 & op(e1,
% 192.87/30.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23) = all_57_22 & op(e1, e3) =
% 192.87/30.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e1, e2) = all_57_19 & op(e1,
% 192.87/30.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_21 & op(e1, e0) = all_57_23 &
% 192.87/30.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = all_57_29 & $i(all_57_16) &
% 192.87/30.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_17) & $i(all_57_18) &
% 192.87/30.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_20) &
% 192.87/30.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_22) &
% 192.87/30.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23) & $i(all_57_29))))
% 192.87/30.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.87/30.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (768) gives:
% 192.87/30.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.87/30.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.87/30.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.87/30.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (769) all_57_21 = e3 & ~ (all_57_0 = e3) & ~ (all_57_2
% 192.87/30.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2) & ~ (all_57_4 = e1) & ~ (all_57_6 = e0)
% 192.87/30.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_17 = e1) & op(e3, all_57_1) =
% 192.87/30.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_0 & op(e3, all_57_3) = all_57_2 & op(e3,
% 192.87/30.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_5) = all_57_4 & op(e3, all_57_7) =
% 192.87/30.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_6 & op(e3, e3) = all_57_1 & op(e3, e2) =
% 192.87/30.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 & op(e3, e1) = all_57_5 & op(e3, e0) =
% 192.87/30.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7 & op(e1, e3) = all_57_17 & op(e1, e1) =
% 192.87/30.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & $i(all_57_0) & $i(all_57_1) & $i(all_57_2) &
% 192.87/30.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_3) & $i(all_57_4) & $i(all_57_5) &
% 192.87/30.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_6) & $i(all_57_7) & $i(all_57_17)
% 192.87/30.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.87/30.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (769) implies:
% 192.87/30.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (770) ~ (all_57_6 = e0)
% 192.87/30.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (771) op(e3, e0) = all_57_7
% 192.87/30.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (772) op(e3, e3) = all_57_1
% 192.87/30.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (773) op(e3, all_57_7) = all_57_6
% 192.87/30.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.87/30.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (730), (754), (770), (771), (772), (773),
% 192.87/30.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 192.87/30.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1832.
% 192.87/30.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.87/30.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.87/30.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.87/30.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (774) (all_57_21 = e2 & ~ (all_57_8 = e3) & ~
% 192.87/30.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e2) & ~ (all_57_12 = e1) & ~
% 192.87/30.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e0) & ~ (all_57_19 = e1) & op(e2,
% 192.87/30.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_9) = all_57_8 & op(e2, all_57_11) =
% 192.87/30.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e2, all_57_13) = all_57_12 &
% 192.87/30.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_15) = all_57_14 & op(e2, e3) =
% 192.87/30.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_9 & op(e2, e2) = all_57_11 & op(e2, e1) =
% 192.87/30.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_13 & op(e2, e0) = all_57_15 & op(e1, e2)
% 192.87/30.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_19 & op(e1, e1) = e2 & $i(all_57_8) &
% 192.87/30.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9) & $i(all_57_10) & $i(all_57_11) &
% 192.87/30.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & $i(all_57_13) & $i(all_57_14) &
% 192.87/30.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & $i(all_57_19)) | (op(e0, e0) =
% 192.87/30.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_31 & $i(all_57_31) & ((all_57_21 = e0 &
% 192.87/30.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_23 = e1) & ~ (all_57_24 = e3) &
% 192.87/30.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_26 = e2) & ~ (all_57_28 = e1) &
% 192.87/30.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_30 = e0) & op(e1, e1) = e0 &
% 192.87/30.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_23 & op(e0, all_57_25) =
% 192.87/30.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_24 & op(e0, all_57_27) = all_57_26 &
% 192.87/30.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_29) = all_57_28 & op(e0,
% 192.87/30.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_31) = all_57_30 & op(e0, e3) =
% 192.87/30.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_27 & op(e0,
% 192.87/30.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_29 & $i(all_57_23) &
% 192.87/30.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_24) & $i(all_57_25) &
% 192.87/30.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_27) &
% 192.87/30.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28) & $i(all_57_29) &
% 192.87/30.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_31 = e3 & ~
% 192.87/30.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_0 = e3) & ~ (all_57_2 = e2) & ~
% 192.87/30.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1) & ~ (all_57_6 = e0) & ~
% 192.87/30.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_25 = e0) & op(e3, all_57_1) =
% 192.87/30.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_0 & op(e3, all_57_3) = all_57_2 &
% 192.87/30.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, all_57_5) = all_57_4 & op(e3,
% 192.87/30.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7) = all_57_6 & op(e3, e3) =
% 192.87/30.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e2) = all_57_3 & op(e3,
% 192.87/30.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_5 & op(e3, e0) = all_57_7 &
% 192.87/30.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_25 & $i(all_57_0) &
% 192.87/30.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_2) & $i(all_57_3) &
% 192.87/30.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4) & $i(all_57_5) & $i(all_57_6) &
% 192.87/30.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7) & $i(all_57_25)) | (all_57_31 =
% 192.87/30.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_8 = e3) & ~ (all_57_10 =
% 192.87/30.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_12 = e1) & ~ (all_57_14
% 192.87/30.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_27 = e0) & op(e2,
% 192.87/30.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_9) = all_57_8 & op(e2, all_57_11) =
% 192.87/30.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e2, all_57_13) = all_57_12 &
% 192.87/30.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_15) = all_57_14 & op(e2, e3) =
% 192.87/30.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_9 & op(e2, e2) = all_57_11 & op(e2,
% 192.87/30.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_13 & op(e2, e0) = all_57_15 &
% 192.87/30.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_27 & $i(all_57_8) &
% 192.87/30.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9) & $i(all_57_10) & $i(all_57_11)
% 192.87/30.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_12) & $i(all_57_13) &
% 192.87/30.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & $i(all_57_15) &
% 192.87/30.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27)) | (all_57_31 = e1 & ~
% 192.87/30.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_16 = e3) & ~ (all_57_18 = e2) & ~
% 192.87/30.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_22 = e0) & ~
% 192.87/30.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_29 = e0) & op(e1, all_57_17) =
% 192.87/30.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_16 & op(e1, all_57_19) = all_57_18 &
% 192.87/30.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_21) = all_57_20 & op(e1,
% 192.87/30.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23) = all_57_22 & op(e1, e3) =
% 192.87/30.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e1, e2) = all_57_19 & op(e1,
% 192.87/30.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_21 & op(e1, e0) = all_57_23 &
% 192.87/30.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = all_57_29 & $i(all_57_16) &
% 192.87/30.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_17) & $i(all_57_18) &
% 192.87/30.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_20) &
% 192.87/30.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_22) &
% 192.87/30.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23) & $i(all_57_29))))
% 192.87/30.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.87/30.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (774) gives:
% 192.87/30.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.87/30.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.87/30.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.87/30.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (775) all_57_21 = e2 & ~ (all_57_8 = e3) & ~
% 192.87/30.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e2) & ~ (all_57_12 = e1) & ~
% 192.87/30.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e0) & ~ (all_57_19 = e1) & op(e2,
% 192.87/30.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_9) = all_57_8 & op(e2, all_57_11) =
% 192.87/30.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e2, all_57_13) = all_57_12 & op(e2,
% 192.87/30.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15) = all_57_14 & op(e2, e3) = all_57_9 &
% 192.87/30.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_11 & op(e2, e1) = all_57_13 &
% 192.87/30.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_15 & op(e1, e2) = all_57_19 &
% 192.87/30.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e2 & $i(all_57_8) & $i(all_57_9) &
% 192.87/30.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & $i(all_57_11) & $i(all_57_12) &
% 192.87/30.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13) & $i(all_57_14) & $i(all_57_15) &
% 192.87/30.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19)
% 192.87/30.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.87/30.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (775) implies:
% 192.87/30.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (776) op(e1, e1) = e2
% 192.87/30.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.87/30.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (584), (776), (function-axioms) are
% 192.87/30.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1919.
% 192.87/30.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.87/30.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.87/30.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.87/30.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (777) op(e0, e0) = all_57_31 & $i(all_57_31) &
% 192.87/30.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_21 = e0 & ~ (all_57_23 = e1) & ~
% 192.87/30.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 192.87/30.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) &
% 192.87/30.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = all_57_23 &
% 192.87/30.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_25) = all_57_24 & op(e0,
% 192.87/30.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27) = all_57_26 & op(e0, all_57_29) =
% 192.87/30.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_28 & op(e0, all_57_31) = all_57_30 &
% 192.87/30.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_25 & op(e0, e2) =
% 192.87/30.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27 & op(e0, e1) = all_57_29 &
% 192.87/30.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23) & $i(all_57_24) & $i(all_57_25)
% 192.87/30.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_26) & $i(all_57_27) &
% 192.87/30.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28) & $i(all_57_29) & $i(all_57_30))
% 192.87/30.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e3 & ~ (all_57_0 = e3) & ~
% 192.87/30.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e2) & ~ (all_57_4 = e1) & ~
% 192.87/30.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_6 = e0) & ~ (all_57_25 = e0) & op(e3,
% 192.87/30.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1) = all_57_0 & op(e3, all_57_3) =
% 192.87/30.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_2 & op(e3, all_57_5) = all_57_4 &
% 192.87/30.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, all_57_7) = all_57_6 & op(e3, e3) =
% 192.87/30.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e2) = all_57_3 & op(e3, e1)
% 192.87/30.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_5 & op(e3, e0) = all_57_7 & op(e0,
% 192.87/30.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_25 & $i(all_57_0) &
% 192.87/30.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_2) & $i(all_57_3) &
% 192.87/30.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4) & $i(all_57_5) & $i(all_57_6) &
% 192.87/30.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7) & $i(all_57_25)) | (all_57_31 =
% 192.87/30.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_8 = e3) & ~ (all_57_10 = e2)
% 192.87/30.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_12 = e1) & ~ (all_57_14 = e0) &
% 192.87/30.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_27 = e0) & op(e2, all_57_9) =
% 192.94/30.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_8 & op(e2, all_57_11) = all_57_10 &
% 192.94/30.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_13) = all_57_12 & op(e2,
% 192.94/30.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15) = all_57_14 & op(e2, e3) =
% 192.94/30.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_9 & op(e2, e2) = all_57_11 & op(e2, e1)
% 192.94/30.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_13 & op(e2, e0) = all_57_15 & op(e0,
% 192.94/30.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_27 & $i(all_57_8) &
% 192.94/30.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9) & $i(all_57_10) & $i(all_57_11) &
% 192.94/30.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & $i(all_57_13) & $i(all_57_14)
% 192.94/30.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_15) & $i(all_57_27)) | (all_57_31
% 192.94/30.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_16 = e3) & ~ (all_57_18 =
% 192.94/30.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_20 = e1) & ~ (all_57_22 =
% 192.94/30.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_29 = e0) & op(e1,
% 192.94/30.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17) = all_57_16 & op(e1, all_57_19) =
% 192.94/30.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_18 & op(e1, all_57_21) = all_57_20 &
% 192.94/30.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_23) = all_57_22 & op(e1, e3) =
% 192.94/30.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e1, e2) = all_57_19 & op(e1,
% 192.94/30.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_21 & op(e1, e0) = all_57_23 &
% 192.94/30.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = all_57_29 & $i(all_57_16) &
% 192.94/30.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_17) & $i(all_57_18) & $i(all_57_19)
% 192.94/30.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_20) & $i(all_57_21) &
% 192.94/30.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_23) &
% 192.94/30.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29)))
% 192.94/30.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.94/30.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (777) implies:
% 192.94/30.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (778) (all_57_21 = e0 & ~ (all_57_23 = e1) & ~
% 192.94/30.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 192.94/30.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) & op(e1,
% 192.94/30.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0 & op(e1, e0) = all_57_23 & op(e0,
% 192.94/30.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25) = all_57_24 & op(e0, all_57_27) =
% 192.94/30.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e0, all_57_29) = all_57_28 &
% 192.94/30.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_31) = all_57_30 & op(e0, e3) =
% 192.94/30.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_27 & op(e0, e1)
% 192.94/30.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_29 & $i(all_57_23) & $i(all_57_24) &
% 192.94/30.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_25) & $i(all_57_26) & $i(all_57_27) &
% 192.94/30.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28) & $i(all_57_29) & $i(all_57_30)) |
% 192.94/30.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e3 & ~ (all_57_0 = e3) & ~
% 192.94/30.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e2) & ~ (all_57_4 = e1) & ~
% 192.94/30.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_6 = e0) & ~ (all_57_25 = e0) & op(e3,
% 192.94/30.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1) = all_57_0 & op(e3, all_57_3) =
% 192.94/30.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_2 & op(e3, all_57_5) = all_57_4 & op(e3,
% 192.94/30.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7) = all_57_6 & op(e3, e3) = all_57_1 &
% 192.94/30.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_3 & op(e3, e1) = all_57_5 &
% 192.94/30.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_7 & op(e0, e3) = all_57_25 &
% 192.94/30.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_0) & $i(all_57_1) & $i(all_57_2) &
% 192.94/30.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_3) & $i(all_57_4) & $i(all_57_5) &
% 192.94/30.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_6) & $i(all_57_7) & $i(all_57_25)) |
% 192.94/30.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e2 & ~ (all_57_8 = e3) & ~
% 192.94/30.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e2) & ~ (all_57_12 = e1) & ~
% 192.94/30.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e0) & ~ (all_57_27 = e0) & op(e2,
% 192.94/30.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_9) = all_57_8 & op(e2, all_57_11) =
% 192.94/30.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e2, all_57_13) = all_57_12 &
% 192.94/30.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_15) = all_57_14 & op(e2, e3) =
% 192.94/30.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_9 & op(e2, e2) = all_57_11 & op(e2, e1) =
% 192.94/30.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_13 & op(e2, e0) = all_57_15 & op(e0, e2)
% 192.94/30.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_27 & $i(all_57_8) & $i(all_57_9) &
% 192.94/30.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & $i(all_57_11) & $i(all_57_12) &
% 192.94/30.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13) & $i(all_57_14) & $i(all_57_15) &
% 192.94/30.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27)) | (all_57_31 = e1 & ~ (all_57_16
% 192.94/30.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_18 = e2) & ~ (all_57_20 =
% 192.94/30.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_22 = e0) & ~ (all_57_29 =
% 192.94/30.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & op(e1, all_57_17) = all_57_16 & op(e1,
% 192.94/30.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_19) = all_57_18 & op(e1, all_57_21) =
% 192.94/30.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20 & op(e1, all_57_23) = all_57_22 &
% 192.94/30.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_17 & op(e1, e2) = all_57_19
% 192.94/30.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = all_57_21 & op(e1, e0) =
% 192.94/30.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23 & op(e0, e1) = all_57_29 &
% 192.94/30.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_16) & $i(all_57_17) & $i(all_57_18) &
% 192.94/30.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_20) & $i(all_57_21) &
% 192.94/30.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_23) & $i(all_57_29))
% 192.94/30.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.94/30.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (778) gives:
% 192.94/30.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.94/30.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.94/30.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.94/30.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (779) (all_57_21 = e0 & ~ (all_57_23 = e1) & ~
% 192.94/30.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 192.94/30.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) & op(e1,
% 192.94/30.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0 & op(e1, e0) = all_57_23 & op(e0,
% 192.94/30.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25) = all_57_24 & op(e0, all_57_27) =
% 192.94/30.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e0, all_57_29) = all_57_28 &
% 192.94/30.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_31) = all_57_30 & op(e0, e3) =
% 192.94/30.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_27 & op(e0, e1)
% 192.94/30.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_29 & $i(all_57_23) & $i(all_57_24) &
% 192.94/30.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_25) & $i(all_57_26) & $i(all_57_27) &
% 192.94/30.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28) & $i(all_57_29) & $i(all_57_30)) |
% 192.94/30.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e3 & ~ (all_57_0 = e3) & ~
% 192.94/30.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e2) & ~ (all_57_4 = e1) & ~
% 192.94/30.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_6 = e0) & ~ (all_57_25 = e0) & op(e3,
% 192.94/30.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1) = all_57_0 & op(e3, all_57_3) =
% 192.94/30.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_2 & op(e3, all_57_5) = all_57_4 & op(e3,
% 192.94/30.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7) = all_57_6 & op(e3, e3) = all_57_1 &
% 192.94/30.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_3 & op(e3, e1) = all_57_5 &
% 192.94/30.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_7 & op(e0, e3) = all_57_25 &
% 192.94/30.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_0) & $i(all_57_1) & $i(all_57_2) &
% 192.94/30.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_3) & $i(all_57_4) & $i(all_57_5) &
% 192.94/30.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_6) & $i(all_57_7) & $i(all_57_25))
% 192.94/30.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.94/30.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (779) gives:
% 192.94/30.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.94/30.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.94/30.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.94/30.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (780) all_57_21 = e0 & ~ (all_57_23 = e1) & ~
% 192.94/30.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 192.94/30.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) & op(e1,
% 192.94/30.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0 & op(e1, e0) = all_57_23 & op(e0,
% 192.94/30.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25) = all_57_24 & op(e0, all_57_27) =
% 192.94/30.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e0, all_57_29) = all_57_28 & op(e0,
% 192.94/30.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_31) = all_57_30 & op(e0, e3) = all_57_25
% 192.94/30.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e2) = all_57_27 & op(e0, e1) = all_57_29
% 192.94/30.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_23) & $i(all_57_24) & $i(all_57_25) &
% 192.94/30.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_27) & $i(all_57_28) &
% 192.94/30.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29) & $i(all_57_30)
% 192.94/30.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.94/30.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (780) implies:
% 192.94/30.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (781) op(e1, e1) = e0
% 192.94/30.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.94/30.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (584), (781), (function-axioms) are
% 192.94/30.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1918.
% 192.94/30.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.94/30.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.94/30.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.94/30.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (782) all_57_31 = e3 & ~ (all_57_0 = e3) & ~ (all_57_2
% 192.94/30.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2) & ~ (all_57_4 = e1) & ~ (all_57_6 = e0)
% 192.94/30.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_25 = e0) & op(e3, all_57_1) =
% 192.94/30.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_0 & op(e3, all_57_3) = all_57_2 & op(e3,
% 192.94/30.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_5) = all_57_4 & op(e3, all_57_7) =
% 192.94/30.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_6 & op(e3, e3) = all_57_1 & op(e3, e2) =
% 192.94/30.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 & op(e3, e1) = all_57_5 & op(e3, e0) =
% 192.94/30.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7 & op(e0, e3) = all_57_25 & $i(all_57_0) &
% 192.94/30.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_2) & $i(all_57_3) &
% 192.94/30.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4) & $i(all_57_5) & $i(all_57_6) &
% 192.94/30.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7) & $i(all_57_25)
% 192.94/30.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.94/30.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (782) implies:
% 192.94/30.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (783) ~ (all_57_6 = e0)
% 192.94/30.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (784) op(e3, e0) = all_57_7
% 192.94/30.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (785) op(e3, e3) = all_57_1
% 192.94/30.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (786) op(e3, all_57_7) = all_57_6
% 192.94/30.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.94/30.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (730), (754), (783), (784), (785), (786),
% 192.94/30.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 192.94/30.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1832.
% 192.94/30.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.94/30.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.94/30.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.94/30.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.94/30.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.94/30.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (787) (all_57_31 = e2 & ~ (all_57_8 = e3) & ~
% 192.94/30.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e2) & ~ (all_57_12 = e1) & ~
% 192.94/30.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e0) & ~ (all_57_27 = e0) & op(e2,
% 192.94/30.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_9) = all_57_8 & op(e2, all_57_11) =
% 192.94/30.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e2, all_57_13) = all_57_12 &
% 192.94/30.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_15) = all_57_14 & op(e2, e3) =
% 192.94/30.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_9 & op(e2, e2) = all_57_11 & op(e2, e1) =
% 192.94/30.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_13 & op(e2, e0) = all_57_15 & op(e0, e2)
% 192.94/30.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_27 & $i(all_57_8) & $i(all_57_9) &
% 192.94/30.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & $i(all_57_11) & $i(all_57_12) &
% 192.94/30.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13) & $i(all_57_14) & $i(all_57_15) &
% 192.94/30.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27)) | (all_57_31 = e1 & ~ (all_57_16
% 192.94/30.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_18 = e2) & ~ (all_57_20 =
% 192.94/30.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_22 = e0) & ~ (all_57_29 =
% 192.94/30.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & op(e1, all_57_17) = all_57_16 & op(e1,
% 192.94/30.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_19) = all_57_18 & op(e1, all_57_21) =
% 192.94/30.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20 & op(e1, all_57_23) = all_57_22 &
% 192.94/30.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_17 & op(e1, e2) = all_57_19
% 192.94/30.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = all_57_21 & op(e1, e0) =
% 192.94/30.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23 & op(e0, e1) = all_57_29 &
% 192.94/30.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_16) & $i(all_57_17) & $i(all_57_18) &
% 192.94/30.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_20) & $i(all_57_21) &
% 192.94/30.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_23) & $i(all_57_29))
% 192.94/30.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.94/30.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (787) gives:
% 192.94/30.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.94/30.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.94/30.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.94/30.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (788) all_57_31 = e2 & ~ (all_57_8 = e3) & ~
% 192.94/30.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e2) & ~ (all_57_12 = e1) & ~
% 192.94/30.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e0) & ~ (all_57_27 = e0) & op(e2,
% 192.94/30.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_9) = all_57_8 & op(e2, all_57_11) =
% 192.94/30.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e2, all_57_13) = all_57_12 & op(e2,
% 192.94/30.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15) = all_57_14 & op(e2, e3) = all_57_9 &
% 192.94/30.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_11 & op(e2, e1) = all_57_13 &
% 192.94/30.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_15 & op(e0, e2) = all_57_27 &
% 192.94/30.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8) & $i(all_57_9) & $i(all_57_10) &
% 192.94/30.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_12) & $i(all_57_13) &
% 192.94/30.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & $i(all_57_15) & $i(all_57_27)
% 192.94/30.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.94/30.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (788) implies:
% 192.94/30.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (789) ~ (all_57_8 = e3)
% 192.94/30.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (790) op(e2, e3) = all_57_9
% 192.94/30.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (791) op(e2, all_57_9) = all_57_8
% 192.94/30.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.94/30.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (762), (789), (790), (791), (function-axioms) are
% 192.94/30.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1830.
% 192.94/30.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.94/30.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.94/30.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.94/30.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (792) all_57_31 = e1 & ~ (all_57_16 = e3) & ~
% 192.94/30.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_18 = e2) & ~ (all_57_20 = e1) & ~
% 192.94/30.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_22 = e0) & ~ (all_57_29 = e0) & op(e1,
% 192.94/30.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17) = all_57_16 & op(e1, all_57_19) =
% 192.94/30.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_18 & op(e1, all_57_21) = all_57_20 & op(e1,
% 192.94/30.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23) = all_57_22 & op(e1, e3) = all_57_17
% 192.94/30.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = all_57_19 & op(e1, e1) = all_57_21
% 192.94/30.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e0) = all_57_23 & op(e0, e1) = all_57_29
% 192.94/30.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_16) & $i(all_57_17) & $i(all_57_18) &
% 192.94/30.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_20) & $i(all_57_21) &
% 192.94/30.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_23) & $i(all_57_29)
% 192.94/30.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.94/30.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (747), (792) are inconsistent by sub-proof
% 192.94/30.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1829.
% 192.94/30.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.94/30.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.94/30.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.94/30.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.94/30.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.94/30.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.94/30.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.94/30.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.94/30.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.94/30.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.94/30.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.94/30.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.94/30.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.94/30.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.94/30.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.94/30.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (793) all_56_3 = e3 & op(e2, e2) = e3
% 192.94/30.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.94/30.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (793) implies:
% 192.94/30.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (794) op(e2, e2) = e3
% 192.94/30.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.94/30.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (396), (794), (function-axioms) are
% 192.94/30.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1963.
% 192.94/30.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.94/30.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.94/30.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.94/30.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.94/30.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.94/30.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (795) (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 =
% 192.94/30.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e0) = e3)
% 192.94/30.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.94/30.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (795) gives:
% 192.94/30.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.94/30.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.94/30.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.94/30.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (796) all_56_5 = e3 & op(e2, e1) = e3
% 192.94/30.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.94/30.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (796) implies:
% 192.94/30.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (797) op(e2, e1) = e3
% 192.94/30.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.94/30.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (581), (797), (function-axioms) are
% 192.94/30.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1861.
% 192.94/30.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.94/30.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.94/30.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.94/30.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (798) all_56_10 = e3 & op(e2, e0) = e3
% 192.94/30.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.94/30.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (798) implies:
% 192.94/30.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (799) all_56_10 = e3
% 192.94/30.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.94/30.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (228) gives:
% 192.94/30.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.94/30.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.94/30.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.94/30.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (800) (all_56_1 = e3 & op(e3, e2) = e3) | (all_56_3 = e3
% 192.94/30.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e3)
% 192.94/30.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.94/30.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (170), (396), (753), (800), (function-axioms)
% 192.94/30.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1828.
% 192.94/30.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.94/30.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.94/30.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.94/30.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (801) (all_56_7 = e3 & op(e1, e2) = e3) | (all_56_13 =
% 192.94/30.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e2) = e3)
% 192.94/30.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.94/30.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (801) gives:
% 192.94/30.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.94/30.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.94/30.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.94/30.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (802) all_56_7 = e3 & op(e1, e2) = e3
% 192.94/30.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.94/30.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (162), (580), (802), (function-axioms) are
% 192.94/30.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1827.
% 192.94/30.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.94/30.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.94/30.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.94/30.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (803) all_56_13 = e3 & op(e0, e2) = e3
% 192.94/30.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.94/30.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (803) implies:
% 192.94/30.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (804) all_56_13 = e3
% 192.94/30.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.94/30.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (236) gives:
% 192.94/30.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.94/30.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.94/30.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.94/30.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (805) (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_1 = e3
% 192.94/30.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e3)
% 192.94/30.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.94/30.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (7), (8), (9), (45), (51), (158), (160),
% 192.94/30.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (162), (170), (227), (239), (371), (377), (390),
% 192.94/30.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (391), (392), (396), (584), (744), (753), (805),
% 192.94/30.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 192.94/30.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1826.
% 192.94/30.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.94/30.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.94/30.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.94/30.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (806) (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_9 = e3
% 192.94/30.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e3)
% 192.94/30.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.94/30.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (806) gives:
% 192.94/30.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.94/30.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.94/30.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.94/30.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (807) all_56_4 = e3 & op(e3, e1) = e3
% 192.94/30.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.94/30.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (807) implies:
% 192.94/30.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (808) op(e3, e1) = e3
% 192.94/30.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.94/30.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (502), (808), (function-axioms) are
% 192.94/30.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1854.
% 192.94/30.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.94/30.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.94/30.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.94/30.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (809) all_56_9 = e3 & op(e3, e0) = e3
% 192.94/30.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.94/30.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (809) implies:
% 192.94/30.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (810) all_56_9 = e3
% 192.94/30.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.94/30.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (239) gives:
% 192.94/30.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.94/30.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.94/30.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.94/30.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (811) (all_57_1 = e2 & ~ (all_57_3 = e3) & ~ (all_57_8
% 192.94/30.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_10 = e2) & ~ (all_57_12 =
% 192.94/30.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_14 = e0) & op(e3, e3) = e2 &
% 192.94/30.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_3 & op(e2, all_57_9) =
% 192.94/30.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_8 & op(e2, all_57_11) = all_57_10 &
% 192.94/30.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_13) = all_57_12 & op(e2,
% 192.94/30.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15) = all_57_14 & op(e2, e3) = all_57_9
% 192.94/30.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = all_57_11 & op(e2, e1) =
% 192.94/30.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_13 & op(e2, e0) = all_57_15 &
% 192.94/30.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_3) & $i(all_57_8) & $i(all_57_9) &
% 192.94/30.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & $i(all_57_11) & $i(all_57_12) &
% 192.94/30.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13) & $i(all_57_14) & $i(all_57_15)) |
% 192.94/30.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e1 & ~ (all_57_5 = e3) & ~
% 192.94/30.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_16 = e3) & ~ (all_57_18 = e2) & ~
% 192.94/30.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_22 = e0) & op(e3,
% 192.94/30.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e1 & op(e3, e1) = all_57_5 & op(e1,
% 192.94/30.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17) = all_57_16 & op(e1, all_57_19) =
% 192.94/30.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_18 & op(e1, all_57_21) = all_57_20 &
% 192.94/30.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_23) = all_57_22 & op(e1, e3) =
% 192.94/30.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e1, e2) = all_57_19 & op(e1, e1)
% 192.94/30.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_21 & op(e1, e0) = all_57_23 &
% 192.94/30.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_16) & $i(all_57_17) &
% 192.94/30.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_19) & $i(all_57_20) &
% 192.94/30.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_22) & $i(all_57_23)) |
% 192.94/30.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e0 & ~ (all_57_7 = e3) & ~
% 192.94/30.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 192.94/30.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) & op(e3,
% 192.94/30.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e0 & op(e3, e0) = all_57_7 & op(e0,
% 192.99/30.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25) = all_57_24 & op(e0, all_57_27) =
% 192.99/30.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e0, all_57_29) = all_57_28 &
% 192.99/30.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_31) = all_57_30 & op(e0, e3) =
% 192.99/30.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_27 & op(e0, e1)
% 192.99/30.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_29 & op(e0, e0) = all_57_31 &
% 192.99/30.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7) & $i(all_57_24) & $i(all_57_25) &
% 192.99/30.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_27) & $i(all_57_28) &
% 192.99/30.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29) & $i(all_57_30) & $i(all_57_31)) |
% 192.99/30.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e3 & ~ (all_57_0 = e3) & ~
% 192.99/30.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e2) & ~ (all_57_4 = e1) & ~
% 192.99/30.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_6 = e0) & ~ (all_57_9 = e2) & op(e3,
% 192.99/30.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1) = all_57_0 & op(e3, all_57_3) =
% 192.99/30.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_2 & op(e3, all_57_5) = all_57_4 & op(e3,
% 192.99/30.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7) = all_57_6 & op(e3, e3) = all_57_1 &
% 192.99/30.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_3 & op(e3, e1) = all_57_5 &
% 192.99/30.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_7 & op(e2, e3) = all_57_9 &
% 192.99/30.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e3 & $i(all_57_0) & $i(all_57_1) &
% 192.99/30.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_2) & $i(all_57_3) & $i(all_57_4) &
% 192.99/30.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 192.99/30.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9))
% 192.99/30.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (811) gives:
% 192.99/30.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.99/30.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (812) (all_57_1 = e2 & ~ (all_57_3 = e3) & ~ (all_57_8
% 192.99/30.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_10 = e2) & ~ (all_57_12 =
% 192.99/30.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_14 = e0) & op(e3, e3) = e2 &
% 192.99/30.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_3 & op(e2, all_57_9) =
% 192.99/30.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_8 & op(e2, all_57_11) = all_57_10 &
% 192.99/30.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_13) = all_57_12 & op(e2,
% 192.99/30.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15) = all_57_14 & op(e2, e3) = all_57_9
% 192.99/30.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = all_57_11 & op(e2, e1) =
% 192.99/30.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_13 & op(e2, e0) = all_57_15 &
% 192.99/30.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_3) & $i(all_57_8) & $i(all_57_9) &
% 192.99/30.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & $i(all_57_11) & $i(all_57_12) &
% 192.99/30.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13) & $i(all_57_14) & $i(all_57_15)) |
% 192.99/30.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e1 & ~ (all_57_5 = e3) & ~
% 192.99/30.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_16 = e3) & ~ (all_57_18 = e2) & ~
% 192.99/30.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_22 = e0) & op(e3,
% 192.99/30.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e1 & op(e3, e1) = all_57_5 & op(e1,
% 192.99/30.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17) = all_57_16 & op(e1, all_57_19) =
% 192.99/30.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_18 & op(e1, all_57_21) = all_57_20 &
% 192.99/30.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_23) = all_57_22 & op(e1, e3) =
% 192.99/30.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e1, e2) = all_57_19 & op(e1, e1)
% 192.99/30.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_21 & op(e1, e0) = all_57_23 &
% 192.99/30.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_16) & $i(all_57_17) &
% 192.99/30.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_19) & $i(all_57_20) &
% 192.99/30.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_22) & $i(all_57_23))
% 192.99/30.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (730), (812), (function-axioms) are
% 192.99/30.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1833.
% 192.99/30.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.99/30.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (813) (all_57_1 = e0 & ~ (all_57_7 = e3) & ~
% 192.99/30.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 192.99/30.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) & op(e3,
% 192.99/30.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e0 & op(e3, e0) = all_57_7 & op(e0,
% 192.99/30.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25) = all_57_24 & op(e0, all_57_27) =
% 192.99/30.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e0, all_57_29) = all_57_28 &
% 192.99/30.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_31) = all_57_30 & op(e0, e3) =
% 192.99/30.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_27 & op(e0, e1)
% 192.99/30.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_29 & op(e0, e0) = all_57_31 &
% 192.99/30.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7) & $i(all_57_24) & $i(all_57_25) &
% 192.99/30.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_27) & $i(all_57_28) &
% 192.99/30.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29) & $i(all_57_30) & $i(all_57_31)) |
% 192.99/30.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e3 & ~ (all_57_0 = e3) & ~
% 192.99/30.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e2) & ~ (all_57_4 = e1) & ~
% 192.99/30.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_6 = e0) & ~ (all_57_9 = e2) & op(e3,
% 192.99/30.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1) = all_57_0 & op(e3, all_57_3) =
% 192.99/30.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_2 & op(e3, all_57_5) = all_57_4 & op(e3,
% 192.99/30.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7) = all_57_6 & op(e3, e3) = all_57_1 &
% 192.99/30.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_3 & op(e3, e1) = all_57_5 &
% 192.99/30.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_7 & op(e2, e3) = all_57_9 &
% 192.99/30.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e3 & $i(all_57_0) & $i(all_57_1) &
% 192.99/30.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_2) & $i(all_57_3) & $i(all_57_4) &
% 192.99/30.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 192.99/30.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9))
% 192.99/30.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (730), (754), (813), (function-axioms) are
% 192.99/30.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1831.
% 192.99/30.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.99/30.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.99/30.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (814) (all_57_11 = e1 & ~ (all_57_13 = e2) & ~
% 192.99/30.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_16 = e3) & ~ (all_57_18 = e2) & ~
% 192.99/30.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_22 = e0) & op(e2,
% 192.99/30.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e1 & op(e2, e1) = all_57_13 & op(e1,
% 192.99/30.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17) = all_57_16 & op(e1, all_57_19) =
% 192.99/30.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_18 & op(e1, all_57_21) = all_57_20 &
% 192.99/30.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_23) = all_57_22 & op(e1, e3) =
% 192.99/30.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e1, e2) = all_57_19 & op(e1, e1)
% 192.99/30.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_21 & op(e1, e0) = all_57_23 &
% 192.99/30.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13) & $i(all_57_16) & $i(all_57_17) &
% 192.99/30.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_19) & $i(all_57_20) &
% 192.99/30.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_22) & $i(all_57_23)) |
% 192.99/30.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e0 & ~ (all_57_15 = e2) & ~
% 192.99/30.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 192.99/30.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) & op(e2,
% 192.99/30.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e0 & op(e2, e0) = all_57_15 & op(e0,
% 192.99/30.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25) = all_57_24 & op(e0, all_57_27) =
% 192.99/30.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e0, all_57_29) = all_57_28 &
% 192.99/30.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_31) = all_57_30 & op(e0, e3) =
% 192.99/30.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_27 & op(e0, e1)
% 192.99/30.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_29 & op(e0, e0) = all_57_31 &
% 192.99/30.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & $i(all_57_24) & $i(all_57_25) &
% 192.99/30.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_27) & $i(all_57_28) &
% 192.99/30.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29) & $i(all_57_30) & $i(all_57_31)) |
% 192.99/30.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e3 & ~ (all_57_0 = e3) & ~
% 192.99/30.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e2) & ~ (all_57_4 = e1) & ~
% 192.99/30.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_6 = e0) & ~ (all_57_17 = e1) & op(e3,
% 192.99/30.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1) = all_57_0 & op(e3, all_57_3) =
% 192.99/30.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_2 & op(e3, all_57_5) = all_57_4 & op(e3,
% 192.99/30.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7) = all_57_6 & op(e3, e3) = all_57_1 &
% 192.99/30.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_3 & op(e3, e1) = all_57_5 &
% 192.99/30.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_7 & op(e1, e3) = all_57_17 &
% 192.99/30.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e3 & $i(all_57_0) & $i(all_57_1) &
% 192.99/30.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_2) & $i(all_57_3) & $i(all_57_4) &
% 192.99/30.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 192.99/30.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_17)) | (all_57_21 = e2 & ~ (all_57_8
% 192.99/30.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_10 = e2) & ~ (all_57_12 =
% 192.99/30.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_14 = e0) & ~ (all_57_19 =
% 192.99/30.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & op(e2, all_57_9) = all_57_8 & op(e2,
% 192.99/30.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_11) = all_57_10 & op(e2, all_57_13) =
% 192.99/30.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & op(e2, all_57_15) = all_57_14 &
% 192.99/30.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_9 & op(e2, e2) = all_57_11 &
% 192.99/30.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_57_13 & op(e2, e0) = all_57_15
% 192.99/30.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = all_57_19 & op(e1, e1) = e2 &
% 192.99/30.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8) & $i(all_57_9) & $i(all_57_10) &
% 192.99/30.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_12) & $i(all_57_13) &
% 192.99/30.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & $i(all_57_15) & $i(all_57_19)) |
% 192.99/30.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (op(e0, e0) = all_57_31 & $i(all_57_31) &
% 192.99/30.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_21 = e0 & ~ (all_57_23 = e1) & ~
% 192.99/30.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 192.99/30.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) &
% 192.99/30.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = all_57_23 &
% 192.99/30.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_25) = all_57_24 & op(e0,
% 192.99/30.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27) = all_57_26 & op(e0, all_57_29)
% 192.99/30.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_28 & op(e0, all_57_31) = all_57_30
% 192.99/30.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e3) = all_57_25 & op(e0, e2) =
% 192.99/30.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27 & op(e0, e1) = all_57_29 &
% 192.99/30.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23) & $i(all_57_24) &
% 192.99/30.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_25) & $i(all_57_26) &
% 192.99/30.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27) & $i(all_57_28) &
% 192.99/30.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29) & $i(all_57_30)) | (all_57_31
% 192.99/30.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & ~ (all_57_0 = e3) & ~ (all_57_2 =
% 192.99/30.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_4 = e1) & ~ (all_57_6 =
% 192.99/30.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_25 = e0) & op(e3,
% 192.99/30.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1) = all_57_0 & op(e3, all_57_3) =
% 192.99/30.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_2 & op(e3, all_57_5) = all_57_4 &
% 192.99/30.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, all_57_7) = all_57_6 & op(e3, e3) =
% 192.99/30.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e2) = all_57_3 & op(e3,
% 192.99/30.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_5 & op(e3, e0) = all_57_7 &
% 192.99/30.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_25 & $i(all_57_0) &
% 192.99/30.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_2) & $i(all_57_3) &
% 192.99/30.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4) & $i(all_57_5) & $i(all_57_6) &
% 192.99/30.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7) & $i(all_57_25)) | (all_57_31 =
% 192.99/30.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_8 = e3) & ~ (all_57_10 =
% 192.99/30.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_12 = e1) & ~ (all_57_14
% 192.99/30.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_27 = e0) & op(e2,
% 192.99/30.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_9) = all_57_8 & op(e2, all_57_11) =
% 192.99/30.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e2, all_57_13) = all_57_12 &
% 192.99/30.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_15) = all_57_14 & op(e2, e3) =
% 192.99/30.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_9 & op(e2, e2) = all_57_11 & op(e2,
% 192.99/30.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_13 & op(e2, e0) = all_57_15 &
% 192.99/30.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_27 & $i(all_57_8) &
% 192.99/30.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9) & $i(all_57_10) & $i(all_57_11)
% 192.99/30.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_12) & $i(all_57_13) &
% 192.99/30.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & $i(all_57_15) &
% 192.99/30.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27)) | (all_57_31 = e1 & ~
% 192.99/30.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_16 = e3) & ~ (all_57_18 = e2) & ~
% 192.99/30.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_22 = e0) & ~
% 192.99/30.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_29 = e0) & op(e1, all_57_17) =
% 192.99/30.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_16 & op(e1, all_57_19) = all_57_18 &
% 192.99/30.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_21) = all_57_20 & op(e1,
% 192.99/30.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23) = all_57_22 & op(e1, e3) =
% 192.99/30.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e1, e2) = all_57_19 & op(e1,
% 192.99/30.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_21 & op(e1, e0) = all_57_23 &
% 192.99/30.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = all_57_29 & $i(all_57_16) &
% 192.99/30.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_17) & $i(all_57_18) &
% 192.99/30.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_20) &
% 192.99/30.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_22) &
% 192.99/30.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23) & $i(all_57_29))))
% 192.99/30.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (814) gives:
% 192.99/30.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.99/30.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (815) (all_57_11 = e1 & ~ (all_57_13 = e2) & ~
% 192.99/30.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_16 = e3) & ~ (all_57_18 = e2) & ~
% 192.99/30.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_22 = e0) & op(e2,
% 192.99/30.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e1 & op(e2, e1) = all_57_13 & op(e1,
% 192.99/30.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17) = all_57_16 & op(e1, all_57_19) =
% 192.99/30.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_18 & op(e1, all_57_21) = all_57_20 &
% 192.99/30.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_23) = all_57_22 & op(e1, e3) =
% 192.99/30.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e1, e2) = all_57_19 & op(e1, e1)
% 192.99/30.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_21 & op(e1, e0) = all_57_23 &
% 192.99/30.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13) & $i(all_57_16) & $i(all_57_17) &
% 192.99/30.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_19) & $i(all_57_20) &
% 192.99/30.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_22) & $i(all_57_23)) |
% 192.99/30.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e0 & ~ (all_57_15 = e2) & ~
% 192.99/30.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 192.99/30.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) & op(e2,
% 192.99/30.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e0 & op(e2, e0) = all_57_15 & op(e0,
% 192.99/30.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25) = all_57_24 & op(e0, all_57_27) =
% 192.99/30.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e0, all_57_29) = all_57_28 &
% 192.99/30.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_31) = all_57_30 & op(e0, e3) =
% 192.99/30.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_27 & op(e0, e1)
% 192.99/30.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_29 & op(e0, e0) = all_57_31 &
% 192.99/30.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & $i(all_57_24) & $i(all_57_25) &
% 192.99/30.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_27) & $i(all_57_28) &
% 192.99/30.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29) & $i(all_57_30) & $i(all_57_31))
% 192.99/30.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (396), (815), (function-axioms) are
% 192.99/30.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1959.
% 192.99/30.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.99/30.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (816) (all_57_21 = e3 & ~ (all_57_0 = e3) & ~
% 192.99/30.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e2) & ~ (all_57_4 = e1) & ~
% 192.99/30.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_6 = e0) & ~ (all_57_17 = e1) & op(e3,
% 192.99/30.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1) = all_57_0 & op(e3, all_57_3) =
% 192.99/30.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_2 & op(e3, all_57_5) = all_57_4 & op(e3,
% 192.99/30.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7) = all_57_6 & op(e3, e3) = all_57_1 &
% 192.99/30.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_3 & op(e3, e1) = all_57_5 &
% 192.99/30.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_7 & op(e1, e3) = all_57_17 &
% 192.99/30.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e3 & $i(all_57_0) & $i(all_57_1) &
% 192.99/30.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_2) & $i(all_57_3) & $i(all_57_4) &
% 192.99/30.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 192.99/30.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_17)) | (all_57_21 = e2 & ~ (all_57_8
% 192.99/30.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_10 = e2) & ~ (all_57_12 =
% 192.99/30.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_14 = e0) & ~ (all_57_19 =
% 192.99/30.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & op(e2, all_57_9) = all_57_8 & op(e2,
% 192.99/30.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_11) = all_57_10 & op(e2, all_57_13) =
% 192.99/30.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & op(e2, all_57_15) = all_57_14 &
% 192.99/30.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_9 & op(e2, e2) = all_57_11 &
% 192.99/30.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_57_13 & op(e2, e0) = all_57_15
% 192.99/30.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = all_57_19 & op(e1, e1) = e2 &
% 192.99/30.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8) & $i(all_57_9) & $i(all_57_10) &
% 192.99/30.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_12) & $i(all_57_13) &
% 192.99/30.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & $i(all_57_15) & $i(all_57_19)) |
% 192.99/30.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (op(e0, e0) = all_57_31 & $i(all_57_31) &
% 192.99/30.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_21 = e0 & ~ (all_57_23 = e1) & ~
% 192.99/30.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 192.99/30.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) &
% 192.99/30.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = all_57_23 &
% 192.99/30.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_25) = all_57_24 & op(e0,
% 192.99/30.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27) = all_57_26 & op(e0, all_57_29)
% 192.99/30.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_28 & op(e0, all_57_31) = all_57_30
% 192.99/30.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e3) = all_57_25 & op(e0, e2) =
% 192.99/30.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27 & op(e0, e1) = all_57_29 &
% 192.99/30.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23) & $i(all_57_24) &
% 192.99/30.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_25) & $i(all_57_26) &
% 192.99/30.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27) & $i(all_57_28) &
% 192.99/30.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29) & $i(all_57_30)) | (all_57_31
% 192.99/30.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & ~ (all_57_0 = e3) & ~ (all_57_2 =
% 192.99/30.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_4 = e1) & ~ (all_57_6 =
% 192.99/30.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_25 = e0) & op(e3,
% 192.99/30.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1) = all_57_0 & op(e3, all_57_3) =
% 192.99/30.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_2 & op(e3, all_57_5) = all_57_4 &
% 192.99/30.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, all_57_7) = all_57_6 & op(e3, e3) =
% 192.99/30.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e2) = all_57_3 & op(e3,
% 192.99/30.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_5 & op(e3, e0) = all_57_7 &
% 192.99/30.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_25 & $i(all_57_0) &
% 192.99/30.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_2) & $i(all_57_3) &
% 192.99/30.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4) & $i(all_57_5) & $i(all_57_6) &
% 192.99/30.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7) & $i(all_57_25)) | (all_57_31 =
% 192.99/30.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_8 = e3) & ~ (all_57_10 =
% 192.99/30.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_12 = e1) & ~ (all_57_14
% 192.99/30.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_27 = e0) & op(e2,
% 192.99/30.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_9) = all_57_8 & op(e2, all_57_11) =
% 192.99/30.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e2, all_57_13) = all_57_12 &
% 192.99/30.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_15) = all_57_14 & op(e2, e3) =
% 192.99/30.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_9 & op(e2, e2) = all_57_11 & op(e2,
% 192.99/30.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_13 & op(e2, e0) = all_57_15 &
% 192.99/30.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_27 & $i(all_57_8) &
% 192.99/30.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9) & $i(all_57_10) & $i(all_57_11)
% 192.99/30.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_12) & $i(all_57_13) &
% 192.99/30.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & $i(all_57_15) &
% 192.99/30.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27)) | (all_57_31 = e1 & ~
% 192.99/30.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_16 = e3) & ~ (all_57_18 = e2) & ~
% 192.99/30.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_22 = e0) & ~
% 192.99/30.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_29 = e0) & op(e1, all_57_17) =
% 192.99/30.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_16 & op(e1, all_57_19) = all_57_18 &
% 192.99/30.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_21) = all_57_20 & op(e1,
% 192.99/30.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23) = all_57_22 & op(e1, e3) =
% 192.99/30.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e1, e2) = all_57_19 & op(e1,
% 192.99/30.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_21 & op(e1, e0) = all_57_23 &
% 192.99/30.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = all_57_29 & $i(all_57_16) &
% 192.99/30.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_17) & $i(all_57_18) &
% 192.99/30.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_20) &
% 192.99/30.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_22) &
% 192.99/30.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23) & $i(all_57_29))))
% 192.99/30.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (816) gives:
% 192.99/30.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.99/30.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (817) all_57_21 = e3 & ~ (all_57_0 = e3) & ~ (all_57_2
% 192.99/30.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2) & ~ (all_57_4 = e1) & ~ (all_57_6 = e0)
% 192.99/30.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_17 = e1) & op(e3, all_57_1) =
% 192.99/30.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_0 & op(e3, all_57_3) = all_57_2 & op(e3,
% 192.99/30.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_5) = all_57_4 & op(e3, all_57_7) =
% 192.99/30.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_6 & op(e3, e3) = all_57_1 & op(e3, e2) =
% 192.99/30.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 & op(e3, e1) = all_57_5 & op(e3, e0) =
% 192.99/30.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7 & op(e1, e3) = all_57_17 & op(e1, e1) =
% 192.99/30.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & $i(all_57_0) & $i(all_57_1) & $i(all_57_2) &
% 192.99/30.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_3) & $i(all_57_4) & $i(all_57_5) &
% 192.99/30.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_6) & $i(all_57_7) & $i(all_57_17)
% 192.99/30.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (817) implies:
% 192.99/30.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (818) ~ (all_57_6 = e0)
% 192.99/30.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (819) op(e3, e0) = all_57_7
% 192.99/30.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (820) op(e3, e3) = all_57_1
% 192.99/30.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (821) op(e3, all_57_7) = all_57_6
% 192.99/30.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (730), (754), (818), (819), (820), (821),
% 192.99/30.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 192.99/30.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1832.
% 192.99/30.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.99/30.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (822) (all_57_21 = e2 & ~ (all_57_8 = e3) & ~
% 192.99/30.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e2) & ~ (all_57_12 = e1) & ~
% 192.99/30.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e0) & ~ (all_57_19 = e1) & op(e2,
% 192.99/30.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_9) = all_57_8 & op(e2, all_57_11) =
% 192.99/30.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e2, all_57_13) = all_57_12 &
% 192.99/30.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_15) = all_57_14 & op(e2, e3) =
% 192.99/30.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_9 & op(e2, e2) = all_57_11 & op(e2, e1) =
% 192.99/30.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_13 & op(e2, e0) = all_57_15 & op(e1, e2)
% 192.99/30.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_19 & op(e1, e1) = e2 & $i(all_57_8) &
% 192.99/30.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9) & $i(all_57_10) & $i(all_57_11) &
% 192.99/30.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & $i(all_57_13) & $i(all_57_14) &
% 192.99/30.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & $i(all_57_19)) | (op(e0, e0) =
% 192.99/30.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_31 & $i(all_57_31) & ((all_57_21 = e0 &
% 192.99/30.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_23 = e1) & ~ (all_57_24 = e3) &
% 192.99/30.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_26 = e2) & ~ (all_57_28 = e1) &
% 192.99/30.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_30 = e0) & op(e1, e1) = e0 &
% 192.99/30.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_23 & op(e0, all_57_25) =
% 192.99/30.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_24 & op(e0, all_57_27) = all_57_26 &
% 192.99/30.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_29) = all_57_28 & op(e0,
% 192.99/30.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_31) = all_57_30 & op(e0, e3) =
% 192.99/30.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_27 & op(e0,
% 192.99/30.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_29 & $i(all_57_23) &
% 192.99/30.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_24) & $i(all_57_25) &
% 192.99/30.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_27) &
% 192.99/30.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28) & $i(all_57_29) &
% 192.99/30.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_31 = e3 & ~
% 192.99/30.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_0 = e3) & ~ (all_57_2 = e2) & ~
% 192.99/30.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1) & ~ (all_57_6 = e0) & ~
% 192.99/30.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_25 = e0) & op(e3, all_57_1) =
% 192.99/30.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_0 & op(e3, all_57_3) = all_57_2 &
% 192.99/30.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, all_57_5) = all_57_4 & op(e3,
% 192.99/30.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7) = all_57_6 & op(e3, e3) =
% 192.99/30.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e2) = all_57_3 & op(e3,
% 192.99/30.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_5 & op(e3, e0) = all_57_7 &
% 192.99/30.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_25 & $i(all_57_0) &
% 192.99/30.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_2) & $i(all_57_3) &
% 192.99/30.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4) & $i(all_57_5) & $i(all_57_6) &
% 192.99/30.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7) & $i(all_57_25)) | (all_57_31 =
% 192.99/30.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_8 = e3) & ~ (all_57_10 =
% 192.99/30.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_12 = e1) & ~ (all_57_14
% 192.99/30.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_27 = e0) & op(e2,
% 192.99/30.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_9) = all_57_8 & op(e2, all_57_11) =
% 192.99/30.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e2, all_57_13) = all_57_12 &
% 192.99/30.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_15) = all_57_14 & op(e2, e3) =
% 192.99/30.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_9 & op(e2, e2) = all_57_11 & op(e2,
% 192.99/30.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_13 & op(e2, e0) = all_57_15 &
% 192.99/30.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_27 & $i(all_57_8) &
% 192.99/30.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9) & $i(all_57_10) & $i(all_57_11)
% 192.99/30.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_12) & $i(all_57_13) &
% 192.99/30.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & $i(all_57_15) &
% 192.99/30.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27)) | (all_57_31 = e1 & ~
% 192.99/30.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_16 = e3) & ~ (all_57_18 = e2) & ~
% 192.99/30.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_22 = e0) & ~
% 192.99/30.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_29 = e0) & op(e1, all_57_17) =
% 192.99/30.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_16 & op(e1, all_57_19) = all_57_18 &
% 192.99/30.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_21) = all_57_20 & op(e1,
% 192.99/30.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23) = all_57_22 & op(e1, e3) =
% 192.99/30.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e1, e2) = all_57_19 & op(e1,
% 192.99/30.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_21 & op(e1, e0) = all_57_23 &
% 192.99/30.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = all_57_29 & $i(all_57_16) &
% 192.99/30.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_17) & $i(all_57_18) &
% 192.99/30.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_20) &
% 192.99/30.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_22) &
% 192.99/30.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23) & $i(all_57_29))))
% 192.99/30.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (822) gives:
% 192.99/30.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.99/30.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (823) all_57_21 = e2 & ~ (all_57_8 = e3) & ~
% 192.99/30.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e2) & ~ (all_57_12 = e1) & ~
% 192.99/30.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e0) & ~ (all_57_19 = e1) & op(e2,
% 192.99/30.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_9) = all_57_8 & op(e2, all_57_11) =
% 192.99/30.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e2, all_57_13) = all_57_12 & op(e2,
% 192.99/30.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15) = all_57_14 & op(e2, e3) = all_57_9 &
% 192.99/30.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_11 & op(e2, e1) = all_57_13 &
% 192.99/30.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_15 & op(e1, e2) = all_57_19 &
% 192.99/30.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e2 & $i(all_57_8) & $i(all_57_9) &
% 192.99/30.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & $i(all_57_11) & $i(all_57_12) &
% 192.99/30.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13) & $i(all_57_14) & $i(all_57_15) &
% 192.99/30.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19)
% 192.99/30.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (823) implies:
% 192.99/30.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (824) op(e1, e1) = e2
% 192.99/30.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (584), (824), (function-axioms) are
% 192.99/30.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1919.
% 192.99/30.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.99/30.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (825) op(e0, e0) = all_57_31 & $i(all_57_31) &
% 192.99/30.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_21 = e0 & ~ (all_57_23 = e1) & ~
% 192.99/30.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 192.99/30.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) &
% 192.99/30.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = all_57_23 &
% 192.99/30.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_25) = all_57_24 & op(e0,
% 192.99/30.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27) = all_57_26 & op(e0, all_57_29) =
% 192.99/30.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_28 & op(e0, all_57_31) = all_57_30 &
% 192.99/30.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_25 & op(e0, e2) =
% 192.99/30.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27 & op(e0, e1) = all_57_29 &
% 192.99/30.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23) & $i(all_57_24) & $i(all_57_25)
% 192.99/30.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_26) & $i(all_57_27) &
% 192.99/30.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28) & $i(all_57_29) & $i(all_57_30))
% 192.99/30.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e3 & ~ (all_57_0 = e3) & ~
% 192.99/30.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e2) & ~ (all_57_4 = e1) & ~
% 192.99/30.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_6 = e0) & ~ (all_57_25 = e0) & op(e3,
% 192.99/30.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1) = all_57_0 & op(e3, all_57_3) =
% 192.99/30.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_2 & op(e3, all_57_5) = all_57_4 &
% 192.99/30.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, all_57_7) = all_57_6 & op(e3, e3) =
% 192.99/30.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e2) = all_57_3 & op(e3, e1)
% 192.99/30.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_5 & op(e3, e0) = all_57_7 & op(e0,
% 192.99/30.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_25 & $i(all_57_0) &
% 192.99/30.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_2) & $i(all_57_3) &
% 192.99/30.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4) & $i(all_57_5) & $i(all_57_6) &
% 192.99/30.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7) & $i(all_57_25)) | (all_57_31 =
% 192.99/30.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_8 = e3) & ~ (all_57_10 = e2)
% 192.99/30.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_12 = e1) & ~ (all_57_14 = e0) &
% 192.99/30.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_27 = e0) & op(e2, all_57_9) =
% 192.99/30.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_8 & op(e2, all_57_11) = all_57_10 &
% 192.99/30.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_13) = all_57_12 & op(e2,
% 192.99/30.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15) = all_57_14 & op(e2, e3) =
% 192.99/30.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_9 & op(e2, e2) = all_57_11 & op(e2, e1)
% 192.99/30.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_13 & op(e2, e0) = all_57_15 & op(e0,
% 192.99/30.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_27 & $i(all_57_8) &
% 192.99/30.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9) & $i(all_57_10) & $i(all_57_11) &
% 192.99/30.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & $i(all_57_13) & $i(all_57_14)
% 192.99/30.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_15) & $i(all_57_27)) | (all_57_31
% 192.99/30.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_16 = e3) & ~ (all_57_18 =
% 192.99/30.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_20 = e1) & ~ (all_57_22 =
% 192.99/30.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_29 = e0) & op(e1,
% 192.99/30.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17) = all_57_16 & op(e1, all_57_19) =
% 192.99/30.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_18 & op(e1, all_57_21) = all_57_20 &
% 192.99/30.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_23) = all_57_22 & op(e1, e3) =
% 192.99/30.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e1, e2) = all_57_19 & op(e1,
% 192.99/30.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_21 & op(e1, e0) = all_57_23 &
% 192.99/30.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = all_57_29 & $i(all_57_16) &
% 192.99/30.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_17) & $i(all_57_18) & $i(all_57_19)
% 192.99/30.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_20) & $i(all_57_21) &
% 192.99/30.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_23) &
% 192.99/30.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29)))
% 192.99/30.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (825) implies:
% 192.99/30.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (826) (all_57_21 = e0 & ~ (all_57_23 = e1) & ~
% 192.99/30.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 192.99/30.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) & op(e1,
% 192.99/30.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0 & op(e1, e0) = all_57_23 & op(e0,
% 192.99/30.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25) = all_57_24 & op(e0, all_57_27) =
% 192.99/30.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e0, all_57_29) = all_57_28 &
% 192.99/30.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_31) = all_57_30 & op(e0, e3) =
% 192.99/30.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_27 & op(e0, e1)
% 192.99/30.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_29 & $i(all_57_23) & $i(all_57_24) &
% 192.99/30.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_25) & $i(all_57_26) & $i(all_57_27) &
% 192.99/30.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28) & $i(all_57_29) & $i(all_57_30)) |
% 192.99/30.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e3 & ~ (all_57_0 = e3) & ~
% 192.99/30.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e2) & ~ (all_57_4 = e1) & ~
% 192.99/30.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_6 = e0) & ~ (all_57_25 = e0) & op(e3,
% 192.99/30.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1) = all_57_0 & op(e3, all_57_3) =
% 192.99/30.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_2 & op(e3, all_57_5) = all_57_4 & op(e3,
% 192.99/30.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7) = all_57_6 & op(e3, e3) = all_57_1 &
% 192.99/30.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_3 & op(e3, e1) = all_57_5 &
% 192.99/30.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_7 & op(e0, e3) = all_57_25 &
% 192.99/30.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_0) & $i(all_57_1) & $i(all_57_2) &
% 192.99/30.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_3) & $i(all_57_4) & $i(all_57_5) &
% 192.99/30.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_6) & $i(all_57_7) & $i(all_57_25)) |
% 192.99/30.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e2 & ~ (all_57_8 = e3) & ~
% 192.99/30.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e2) & ~ (all_57_12 = e1) & ~
% 192.99/30.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e0) & ~ (all_57_27 = e0) & op(e2,
% 192.99/30.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_9) = all_57_8 & op(e2, all_57_11) =
% 192.99/30.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e2, all_57_13) = all_57_12 &
% 192.99/30.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_15) = all_57_14 & op(e2, e3) =
% 192.99/30.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_9 & op(e2, e2) = all_57_11 & op(e2, e1) =
% 192.99/30.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_13 & op(e2, e0) = all_57_15 & op(e0, e2)
% 192.99/30.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_27 & $i(all_57_8) & $i(all_57_9) &
% 192.99/30.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & $i(all_57_11) & $i(all_57_12) &
% 192.99/30.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13) & $i(all_57_14) & $i(all_57_15) &
% 192.99/30.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27)) | (all_57_31 = e1 & ~ (all_57_16
% 192.99/30.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_18 = e2) & ~ (all_57_20 =
% 192.99/30.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_22 = e0) & ~ (all_57_29 =
% 192.99/30.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & op(e1, all_57_17) = all_57_16 & op(e1,
% 192.99/30.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_19) = all_57_18 & op(e1, all_57_21) =
% 192.99/30.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20 & op(e1, all_57_23) = all_57_22 &
% 192.99/30.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_17 & op(e1, e2) = all_57_19
% 192.99/30.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = all_57_21 & op(e1, e0) =
% 192.99/30.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23 & op(e0, e1) = all_57_29 &
% 192.99/30.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_16) & $i(all_57_17) & $i(all_57_18) &
% 192.99/30.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_20) & $i(all_57_21) &
% 192.99/30.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_23) & $i(all_57_29))
% 192.99/30.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (221) gives:
% 192.99/30.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.99/30.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (827) (all_56_2 = e0 & op(e2, e3) = e0) | (all_56_3 = e0
% 192.99/30.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e0)
% 192.99/30.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (45), (51), (158),
% 192.99/30.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (160), (162), (165), (170), (221), (222), (224),
% 192.99/30.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (227), (231), (235), (239), (371), (377), (390),
% 192.99/30.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (391), (392), (396), (496), (497), (581), (584),
% 192.99/30.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (730), (744), (827), (function-axioms) are
% 192.99/30.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1816.
% 192.99/30.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.99/30.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (828) (all_56_5 = e0 & op(e2, e1) = e0) | (all_56_10 =
% 192.99/30.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0)
% 192.99/30.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (828) gives:
% 192.99/30.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.99/30.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (829) all_56_5 = e0 & op(e2, e1) = e0
% 192.99/30.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (829) implies:
% 192.99/30.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (830) all_56_5 = e0
% 192.99/30.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (210) gives:
% 192.99/30.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.99/30.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (831) (all_56_9 = e1 & op(e3, e0) = e1) | (all_56_10 =
% 192.99/30.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e2, e0) = e1)
% 192.99/30.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (831) gives:
% 192.99/30.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.99/30.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (832) all_56_9 = e1 & op(e3, e0) = e1
% 192.99/30.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (810), (832) are inconsistent by sub-proof
% 192.99/30.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1815.
% 192.99/30.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.99/30.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (833) all_56_10 = e1 & op(e2, e0) = e1
% 192.99/30.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (799), (833) are inconsistent by sub-proof
% 192.99/30.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1814.
% 192.99/30.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.99/30.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.99/30.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (834) (all_56_11 = e1 & op(e1, e0) = e1) | (all_56_15 =
% 192.99/30.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = e1)
% 192.99/30.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (834) gives:
% 192.99/30.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.99/30.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (835) all_56_11 = e1 & op(e1, e0) = e1
% 192.99/30.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (835) implies:
% 192.99/30.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (836) op(e1, e0) = e1
% 192.99/30.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (225) gives:
% 192.99/30.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.99/30.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (837) (all_56_1 = e0 & op(e3, e2) = e0) | (all_56_3 = e0
% 192.99/30.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e0)
% 192.99/30.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (837) gives:
% 192.99/30.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.99/30.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (838) all_56_1 = e0 & op(e3, e2) = e0
% 192.99/30.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (838) implies:
% 192.99/30.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (839) all_56_1 = e0
% 192.99/30.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (232) gives:
% 192.99/30.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.99/30.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (730), (755), (839), (function-axioms) are
% 192.99/30.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1812.
% 192.99/30.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.99/30.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (840) (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_9 = e1
% 192.99/30.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e1)
% 192.99/30.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (840) gives:
% 192.99/30.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.99/30.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (841) all_56_4 = e1 & op(e3, e1) = e1
% 192.99/30.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (501), (841) are inconsistent by sub-proof
% 192.99/30.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1872.
% 192.99/30.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.99/30.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (842) all_56_9 = e1 & op(e3, e0) = e1
% 192.99/30.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (842) implies:
% 192.99/30.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (843) all_56_9 = e1
% 192.99/30.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (7), (8), (9), (45), (51), (158), (160),
% 192.99/30.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (162), (170), (227), (236), (239), (371), (377),
% 192.99/30.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (390), (391), (392), (396), (502), (584), (744),
% 192.99/30.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (839), (843), (function-axioms) are inconsistent
% 192.99/30.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1808.
% 192.99/30.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.99/30.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.99/30.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.99/30.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (844) all_56_3 = e0 & op(e2, e2) = e0
% 192.99/30.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (844) implies:
% 192.99/30.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (845) all_56_3 = e0
% 192.99/30.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (846) op(e2, e2) = e0
% 192.99/30.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (222), (223), (224),
% 192.99/30.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (799), (830), (845), (846), (function-axioms) are
% 192.99/30.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1795.
% 192.99/30.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.99/30.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.99/30.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (847) (all_56_7 = e0 & op(e1, e2) = e0) | (all_56_13 =
% 192.99/30.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0)
% 192.99/30.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (847) gives:
% 192.99/30.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.99/30.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (848) all_56_7 = e0 & op(e1, e2) = e0
% 192.99/30.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (848) implies:
% 192.99/30.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (849) all_56_7 = e0
% 192.99/30.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (222) gives:
% 192.99/30.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.99/30.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (850) (all_56_2 = e1 & op(e2, e3) = e1) | (all_56_3 = e1
% 192.99/30.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1)
% 192.99/30.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (850) gives:
% 192.99/30.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.99/30.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (851) all_56_2 = e1 & op(e2, e3) = e1
% 192.99/30.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (851) implies:
% 192.99/30.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (852) all_56_2 = e1
% 192.99/30.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (235) gives:
% 192.99/30.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.99/30.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (853) (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_2 = e3
% 192.99/30.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e3)
% 192.99/30.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (853) gives:
% 192.99/30.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.99/30.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (854) all_56_0 = e3 & op(e3, e3) = e3
% 192.99/30.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (854) implies:
% 192.99/30.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (855) op(e3, e3) = e3
% 192.99/30.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (7), (8), (9), (45), (158), (160), (162),
% 192.99/30.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (170), (227), (371), (390), (391), (392), (584),
% 192.99/30.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (743), (744), (826), (855), (function-axioms) are
% 192.99/30.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1909.
% 192.99/30.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.99/30.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (856) all_56_2 = e3 & op(e2, e3) = e3
% 192.99/30.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8), (9), (224), (396), (799), (830), (852),
% 192.99/30.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (856), (function-axioms) are inconsistent by
% 192.99/30.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1791.
% 192.99/30.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.99/30.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.99/30.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (857) (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_12 =
% 192.99/30.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e3) = e3)
% 192.99/30.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (857) gives:
% 192.99/30.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.99/30.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (858) all_56_6 = e3 & op(e1, e3) = e3
% 192.99/30.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (858) implies:
% 192.99/30.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (859) all_56_6 = e3
% 192.99/30.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (496), (859) imply:
% 192.99/30.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (860) e3 = e2
% 192.99/30.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (206), (210), (212),
% 192.99/30.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (799), (810), (860) are inconsistent by sub-proof
% 192.99/30.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1774.
% 192.99/30.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.99/30.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (861) all_56_12 = e3 & op(e0, e3) = e3
% 192.99/30.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (861) implies:
% 192.99/30.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (862) all_56_12 = e3
% 192.99/30.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (207) gives:
% 192.99/30.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.99/30.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (863) (all_56_12 = e1 & op(e0, e3) = e1) | (all_56_13 =
% 192.99/30.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e2) = e1)
% 192.99/30.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (863) gives:
% 192.99/30.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.99/30.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (864) all_56_12 = e1 & op(e0, e3) = e1
% 192.99/30.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (864) implies:
% 192.99/30.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (865) all_56_12 = e1
% 192.99/30.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (862), (865) imply:
% 192.99/30.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (866) e3 = e1
% 192.99/30.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (799), (866) imply:
% 192.99/30.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (867) all_56_10 = e1
% 192.99/30.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8), (9), (224), (396), (830), (852), (867),
% 192.99/30.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 192.99/30.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1792.
% 192.99/30.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.99/30.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (868) all_56_13 = e1 & op(e0, e2) = e1
% 192.99/30.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (868) implies:
% 192.99/30.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (869) all_56_13 = e1
% 192.99/30.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (804), (869) imply:
% 192.99/30.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (870) e3 = e1
% 192.99/30.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (870) implies:
% 192.99/30.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (871) e3 = e1
% 192.99/30.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (799), (871) imply:
% 192.99/30.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (872) all_56_10 = e1
% 192.99/30.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8), (9), (224), (396), (830), (852), (872),
% 192.99/30.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 192.99/30.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1792.
% 192.99/30.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.99/30.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.99/30.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (873) (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 =
% 192.99/30.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = e1)
% 192.99/30.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (873) gives:
% 192.99/30.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.99/30.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (874) all_56_14 = e1 & op(e0, e1) = e1
% 192.99/30.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (874) implies:
% 192.99/30.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (875) op(e0, e1) = e1
% 192.99/30.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (826) gives:
% 192.99/30.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.99/30.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (876) (all_57_21 = e0 & ~ (all_57_23 = e1) & ~
% 192.99/30.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 192.99/30.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) & op(e1,
% 192.99/30.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0 & op(e1, e0) = all_57_23 & op(e0,
% 192.99/30.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25) = all_57_24 & op(e0, all_57_27) =
% 192.99/30.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e0, all_57_29) = all_57_28 &
% 192.99/30.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_31) = all_57_30 & op(e0, e3) =
% 192.99/30.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_27 & op(e0, e1)
% 192.99/30.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_29 & $i(all_57_23) & $i(all_57_24) &
% 192.99/30.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_25) & $i(all_57_26) & $i(all_57_27) &
% 192.99/30.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28) & $i(all_57_29) & $i(all_57_30)) |
% 192.99/30.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e3 & ~ (all_57_0 = e3) & ~
% 192.99/30.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e2) & ~ (all_57_4 = e1) & ~
% 192.99/30.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_6 = e0) & ~ (all_57_25 = e0) & op(e3,
% 192.99/30.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1) = all_57_0 & op(e3, all_57_3) =
% 192.99/30.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_2 & op(e3, all_57_5) = all_57_4 & op(e3,
% 192.99/30.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7) = all_57_6 & op(e3, e3) = all_57_1 &
% 192.99/30.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_3 & op(e3, e1) = all_57_5 &
% 192.99/30.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_7 & op(e0, e3) = all_57_25 &
% 192.99/30.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_0) & $i(all_57_1) & $i(all_57_2) &
% 192.99/30.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_3) & $i(all_57_4) & $i(all_57_5) &
% 192.99/30.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_6) & $i(all_57_7) & $i(all_57_25))
% 192.99/30.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (876) gives:
% 192.99/30.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.99/30.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (877) all_57_21 = e0 & ~ (all_57_23 = e1) & ~
% 192.99/30.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 192.99/30.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) & op(e1,
% 192.99/30.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0 & op(e1, e0) = all_57_23 & op(e0,
% 192.99/30.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25) = all_57_24 & op(e0, all_57_27) =
% 192.99/30.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e0, all_57_29) = all_57_28 & op(e0,
% 192.99/30.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_31) = all_57_30 & op(e0, e3) = all_57_25
% 192.99/30.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e2) = all_57_27 & op(e0, e1) = all_57_29
% 192.99/30.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_23) & $i(all_57_24) & $i(all_57_25) &
% 192.99/30.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_27) & $i(all_57_28) &
% 192.99/30.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29) & $i(all_57_30)
% 192.99/30.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (877) implies:
% 192.99/30.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (878) ~ (all_57_28 = e1)
% 192.99/30.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (879) op(e0, e1) = all_57_29
% 192.99/30.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (880) op(e0, all_57_29) = all_57_28
% 192.99/30.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (875), (878), (879), (880), (function-axioms) are
% 192.99/30.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1856.
% 192.99/30.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.99/30.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (881) all_57_31 = e3 & ~ (all_57_0 = e3) & ~ (all_57_2
% 192.99/30.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2) & ~ (all_57_4 = e1) & ~ (all_57_6 = e0)
% 192.99/30.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_25 = e0) & op(e3, all_57_1) =
% 192.99/30.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_0 & op(e3, all_57_3) = all_57_2 & op(e3,
% 192.99/30.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_5) = all_57_4 & op(e3, all_57_7) =
% 192.99/30.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_6 & op(e3, e3) = all_57_1 & op(e3, e2) =
% 192.99/30.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 & op(e3, e1) = all_57_5 & op(e3, e0) =
% 192.99/30.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7 & op(e0, e3) = all_57_25 & $i(all_57_0) &
% 192.99/30.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_2) & $i(all_57_3) &
% 192.99/30.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4) & $i(all_57_5) & $i(all_57_6) &
% 192.99/30.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7) & $i(all_57_25)
% 192.99/30.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (881) implies:
% 192.99/30.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (882) ~ (all_57_6 = e0)
% 192.99/30.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (883) op(e3, e0) = all_57_7
% 192.99/30.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (884) op(e3, e3) = all_57_1
% 192.99/30.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (885) op(e3, all_57_7) = all_57_6
% 192.99/30.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (730), (754), (882), (883), (884), (885),
% 192.99/30.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 192.99/30.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1832.
% 192.99/30.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.99/30.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.99/30.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (886) (all_57_31 = e2 & ~ (all_57_8 = e3) & ~
% 192.99/30.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e2) & ~ (all_57_12 = e1) & ~
% 192.99/30.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e0) & ~ (all_57_27 = e0) & op(e2,
% 192.99/30.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_9) = all_57_8 & op(e2, all_57_11) =
% 192.99/30.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e2, all_57_13) = all_57_12 &
% 192.99/30.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_15) = all_57_14 & op(e2, e3) =
% 192.99/30.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_9 & op(e2, e2) = all_57_11 & op(e2, e1) =
% 192.99/30.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_13 & op(e2, e0) = all_57_15 & op(e0, e2)
% 192.99/30.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_27 & $i(all_57_8) & $i(all_57_9) &
% 192.99/30.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & $i(all_57_11) & $i(all_57_12) &
% 192.99/30.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13) & $i(all_57_14) & $i(all_57_15) &
% 192.99/30.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27)) | (all_57_31 = e1 & ~ (all_57_16
% 192.99/30.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_18 = e2) & ~ (all_57_20 =
% 192.99/30.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_22 = e0) & ~ (all_57_29 =
% 192.99/30.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & op(e1, all_57_17) = all_57_16 & op(e1,
% 192.99/30.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_19) = all_57_18 & op(e1, all_57_21) =
% 192.99/30.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20 & op(e1, all_57_23) = all_57_22 &
% 192.99/30.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_17 & op(e1, e2) = all_57_19
% 192.99/30.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = all_57_21 & op(e1, e0) =
% 192.99/30.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23 & op(e0, e1) = all_57_29 &
% 192.99/30.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_16) & $i(all_57_17) & $i(all_57_18) &
% 192.99/30.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_20) & $i(all_57_21) &
% 192.99/30.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_23) & $i(all_57_29))
% 192.99/30.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (886) gives:
% 192.99/30.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.99/30.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (887) all_57_31 = e2 & ~ (all_57_8 = e3) & ~
% 192.99/30.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e2) & ~ (all_57_12 = e1) & ~
% 192.99/30.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e0) & ~ (all_57_27 = e0) & op(e2,
% 192.99/30.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_9) = all_57_8 & op(e2, all_57_11) =
% 192.99/30.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e2, all_57_13) = all_57_12 & op(e2,
% 192.99/30.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15) = all_57_14 & op(e2, e3) = all_57_9 &
% 192.99/30.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_11 & op(e2, e1) = all_57_13 &
% 192.99/30.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_15 & op(e0, e2) = all_57_27 &
% 192.99/30.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8) & $i(all_57_9) & $i(all_57_10) &
% 192.99/30.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_12) & $i(all_57_13) &
% 192.99/30.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & $i(all_57_15) & $i(all_57_27)
% 192.99/30.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (887) implies:
% 192.99/30.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (888) ~ (all_57_10 = e2)
% 192.99/30.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (889) op(e2, e2) = all_57_11
% 192.99/30.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (890) op(e2, all_57_11) = all_57_10
% 192.99/30.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (158), (162), (170), (227), (390), (391), (392),
% 192.99/30.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (888), (889), (890), (function-axioms) are
% 192.99/30.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1967.
% 192.99/30.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.99/30.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (891) all_57_31 = e1 & ~ (all_57_16 = e3) & ~
% 192.99/30.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_18 = e2) & ~ (all_57_20 = e1) & ~
% 192.99/30.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_22 = e0) & ~ (all_57_29 = e0) & op(e1,
% 192.99/30.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17) = all_57_16 & op(e1, all_57_19) =
% 192.99/30.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_18 & op(e1, all_57_21) = all_57_20 & op(e1,
% 192.99/30.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23) = all_57_22 & op(e1, e3) = all_57_17
% 192.99/30.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = all_57_19 & op(e1, e1) = all_57_21
% 192.99/30.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e0) = all_57_23 & op(e0, e1) = all_57_29
% 192.99/30.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_16) & $i(all_57_17) & $i(all_57_18) &
% 192.99/30.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_20) & $i(all_57_21) &
% 192.99/30.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_23) & $i(all_57_29)
% 192.99/30.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (747), (891) are inconsistent by sub-proof
% 192.99/30.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1829.
% 192.99/30.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.99/30.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.99/30.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.99/30.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (892) all_56_15 = e1 & op(e0, e0) = e1
% 192.99/30.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (892) implies:
% 192.99/30.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (893) op(e0, e0) = e1
% 192.99/30.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (45), (160), (371), (836), (893),
% 192.99/30.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 192.99/30.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1914.
% 192.99/30.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.99/30.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.99/30.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.99/30.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.99/30.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.99/30.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (894) all_56_3 = e1 & op(e2, e2) = e1
% 192.99/30.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (894) implies:
% 192.99/30.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (895) op(e2, e2) = e1
% 192.99/30.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (396), (895), (function-axioms) are
% 192.99/30.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1961.
% 192.99/30.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.99/30.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.99/30.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (896) (all_56_5 = e1 & op(e2, e1) = e1) | (all_56_10 =
% 192.99/30.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e2, e0) = e1)
% 192.99/30.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (896) gives:
% 192.99/30.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.99/30.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (897) all_56_5 = e1 & op(e2, e1) = e1
% 192.99/30.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (897) implies:
% 192.99/30.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (898) all_56_5 = e1
% 192.99/30.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (830), (898) imply:
% 192.99/30.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (899) e1 = e0
% 192.99/30.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (899) implies:
% 192.99/30.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (900) e1 = e0
% 192.99/30.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (759), (900) imply:
% 192.99/30.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (901) all_56_1 = e0
% 192.99/30.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (8), (226), (396), (804), (849), (901),
% 192.99/30.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 192.99/30.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1771.
% 192.99/30.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.99/30.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (902) all_56_10 = e1 & op(e2, e0) = e1
% 192.99/30.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (799), (902) are inconsistent by sub-proof
% 192.99/30.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1814.
% 192.99/30.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.99/30.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.99/30.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.99/30.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (903) all_56_13 = e0 & op(e0, e2) = e0
% 192.99/30.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (804), (903) are inconsistent by sub-proof
% 192.99/30.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1867.
% 192.99/30.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.99/30.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.99/30.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.99/30.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (904) all_56_15 = e1 & op(e0, e0) = e1
% 192.99/30.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (904) implies:
% 192.99/30.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (905) op(e0, e0) = e1
% 192.99/30.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (9), (157), (159), (208), (506), (511),
% 192.99/30.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (804), (905), (function-axioms) are inconsistent
% 192.99/30.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1841.
% 192.99/30.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.99/30.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.99/30.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.99/30.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (906) all_56_10 = e0 & op(e2, e0) = e0
% 192.99/30.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (799), (906) are inconsistent by sub-proof
% 192.99/30.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1840.
% 192.99/30.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.99/30.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.99/30.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.99/30.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.99/30.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.99/30.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.99/30.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.99/30.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.99/30.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.99/30.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.99/30.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.99/30.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.99/30.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.99/30.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.99/30.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (907) (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_9 = e1
% 192.99/30.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e1)
% 192.99/30.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (907) gives:
% 192.99/30.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.99/30.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (908) all_56_4 = e1 & op(e3, e1) = e1
% 192.99/30.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (501), (908) are inconsistent by sub-proof
% 192.99/30.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1872.
% 192.99/30.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.99/30.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (909) all_56_9 = e1 & op(e3, e0) = e1
% 192.99/30.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (909) implies:
% 192.99/30.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (910) all_56_9 = e1
% 192.99/30.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (236) gives:
% 192.99/30.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.99/30.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (911) (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_1 = e3
% 192.99/30.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e3)
% 192.99/30.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (7), (8), (9), (45), (51), (158), (160),
% 192.99/30.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (162), (170), (227), (239), (371), (377), (390),
% 192.99/30.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (391), (392), (396), (584), (744), (753), (911),
% 192.99/30.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 192.99/30.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1826.
% 192.99/30.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.99/30.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (912) (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_9 = e3
% 192.99/30.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e3)
% 192.99/30.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (9), (502), (910), (912), (function-axioms)
% 192.99/30.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1809.
% 192.99/30.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.99/30.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.99/30.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.99/30.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.99/30.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (913) ~ (all_54_3 = e3)
% 192.99/30.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (914) all_54_3 = e2 | all_54_3 = e1 | all_54_3 = e0
% 192.99/30.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (270), (913) imply:
% 192.99/30.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (915) ~ (all_52_12 = e3)
% 192.99/30.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (914) gives:
% 192.99/30.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.99/30.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (916) all_54_3 = e2
% 192.99/30.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (270), (916) imply:
% 192.99/30.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (917) all_52_12 = e2
% 192.99/30.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (491), (917) imply:
% 192.99/30.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (918) $false
% 192.99/30.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (918) is inconsistent.
% 192.99/30.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.99/30.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (919) ~ (all_54_3 = e2)
% 192.99/30.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (920) all_54_3 = e1 | all_54_3 = e0
% 192.99/30.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (212) gives:
% 192.99/30.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.99/30.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (921) (all_56_9 = e3 & op(e3, e0) = e3) | (all_56_10 =
% 192.99/30.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e0) = e3)
% 192.99/30.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (921) gives:
% 192.99/30.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.99/30.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (922) all_56_9 = e3 & op(e3, e0) = e3
% 192.99/30.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (922) implies:
% 192.99/30.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (923) op(e3, e0) = e3
% 192.99/30.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (168), (915), (923), (function-axioms) are
% 192.99/30.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1928.
% 192.99/30.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.99/30.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (924) all_56_10 = e3 & op(e2, e0) = e3
% 192.99/30.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (924) implies:
% 192.99/30.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (925) all_56_10 = e3
% 192.99/30.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (236) gives:
% 192.99/30.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.99/30.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (926) (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_1 = e3
% 192.99/30.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e3)
% 192.99/30.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (926) gives:
% 192.99/30.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.99/30.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (927) all_56_0 = e3 & op(e3, e3) = e3
% 192.99/30.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (927) implies:
% 192.99/30.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (928) op(e3, e3) = e3
% 192.99/30.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (7), (8), (9), (45), (51), (158), (160),
% 192.99/30.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (162), (170), (227), (239), (371), (377), (390),
% 192.99/30.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (391), (392), (396), (584), (744), (928),
% 192.99/30.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 192.99/30.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1908.
% 192.99/30.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.99/30.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (929) all_56_1 = e3 & op(e3, e2) = e3
% 192.99/30.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (929) implies:
% 192.99/30.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (930) all_56_1 = e3
% 192.99/30.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (232) gives:
% 192.99/30.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.99/30.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (931) (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_1 = e1
% 192.99/30.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e1)
% 192.99/30.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (8), (730), (930), (931), (function-axioms)
% 192.99/30.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1769.
% 192.99/30.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.99/30.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (932) (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_9 = e1
% 192.99/30.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e1)
% 192.99/30.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (932) gives:
% 192.99/30.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.99/30.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (933) all_56_4 = e1 & op(e3, e1) = e1
% 192.99/30.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (501), (933) are inconsistent by sub-proof
% 192.99/30.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1872.
% 192.99/30.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.99/30.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (934) all_56_9 = e1 & op(e3, e0) = e1
% 192.99/30.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (934) implies:
% 192.99/30.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (935) all_56_9 = e1
% 192.99/30.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (221) gives:
% 192.99/30.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.99/30.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (936) (all_56_2 = e0 & op(e2, e3) = e0) | (all_56_3 = e0
% 192.99/30.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e0)
% 192.99/30.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (45), (51), (158),
% 192.99/30.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (160), (162), (165), (170), (221), (222), (224),
% 192.99/30.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (227), (231), (235), (239), (371), (377), (390),
% 192.99/30.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (391), (392), (396), (496), (497), (581), (584),
% 192.99/30.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (730), (744), (936), (function-axioms) are
% 192.99/30.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1816.
% 192.99/30.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.99/30.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (937) (all_56_5 = e0 & op(e2, e1) = e0) | (all_56_10 =
% 192.99/30.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0)
% 192.99/30.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (937) gives:
% 192.99/30.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.99/30.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (938) all_56_5 = e0 & op(e2, e1) = e0
% 192.99/30.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (938) implies:
% 192.99/30.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (939) all_56_5 = e0
% 192.99/30.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (222) gives:
% 192.99/30.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.99/30.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (940) (all_56_2 = e1 & op(e2, e3) = e1) | (all_56_3 = e1
% 192.99/30.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1)
% 192.99/30.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (940) gives:
% 192.99/30.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.99/30.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (941) all_56_2 = e1 & op(e2, e3) = e1
% 192.99/30.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (941) implies:
% 192.99/30.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (942) all_56_2 = e1
% 192.99/30.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (920) gives:
% 192.99/30.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.99/30.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (943) all_54_3 = e1
% 192.99/30.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (270), (943) imply:
% 192.99/30.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (944) all_52_12 = e1
% 192.99/30.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (944) implies:
% 192.99/30.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (945) all_52_12 = e1
% 192.99/30.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (112), (945) imply:
% 192.99/30.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (946) ~ (all_52_14 = e1)
% 192.99/30.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (946) implies:
% 192.99/30.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (947) ~ (all_52_14 = e1)
% 192.99/30.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (915), (945) imply:
% 192.99/30.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (948) ~ (e3 = e1)
% 192.99/30.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (491), (945) imply:
% 192.99/30.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (949) ~ (e2 = e1)
% 192.99/30.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (235) gives:
% 192.99/30.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.99/30.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (950) (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_2 = e3
% 192.99/30.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e3)
% 192.99/30.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (950) gives:
% 192.99/30.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.99/30.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (951) all_56_0 = e3 & op(e3, e3) = e3
% 192.99/30.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (951) implies:
% 192.99/30.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (952) op(e3, e3) = e3
% 192.99/30.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (7), (8), (9), (45), (51), (158), (160),
% 192.99/30.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (162), (170), (227), (239), (371), (377), (390),
% 192.99/30.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (391), (392), (396), (584), (744), (952),
% 192.99/30.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 192.99/30.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1908.
% 192.99/30.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.99/30.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (953) all_56_2 = e3 & op(e2, e3) = e3
% 192.99/30.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8), (9), (224), (396), (925), (939), (942),
% 192.99/30.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (953), (function-axioms) are inconsistent by
% 192.99/30.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1791.
% 192.99/30.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.99/30.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.99/30.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (954) (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_12 =
% 192.99/30.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e3) = e3)
% 192.99/30.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (954) gives:
% 192.99/30.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.99/30.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (955) all_56_6 = e3 & op(e1, e3) = e3
% 192.99/30.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (955) implies:
% 192.99/30.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (956) all_56_6 = e3
% 192.99/30.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (496), (956) are inconsistent by sub-proof
% 192.99/30.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1820.
% 192.99/30.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.99/30.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (957) all_56_12 = e3 & op(e0, e3) = e3
% 192.99/30.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (957) implies:
% 192.99/30.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (958) op(e0, e3) = e3
% 192.99/30.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (744) gives:
% 192.99/30.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.99/30.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (959) (all_57_23 = e1 & ~ (all_57_21 = e0) & ~
% 192.99/30.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 192.99/30.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) & op(e1,
% 192.99/30.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_21 & op(e1, e0) = e1 & op(e0,
% 192.99/30.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25) = all_57_24 & op(e0, all_57_27) =
% 192.99/30.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e0, all_57_29) = all_57_28 &
% 192.99/30.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_31) = all_57_30 & op(e0, e3) =
% 192.99/30.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_27 & op(e0, e1)
% 192.99/30.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_29 & $i(all_57_21) & $i(all_57_24) &
% 192.99/30.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_25) & $i(all_57_26) & $i(all_57_27) &
% 192.99/30.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28) & $i(all_57_29) & $i(all_57_30)) |
% 192.99/30.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_25 = e0 & ~ (all_57_0 = e3) & ~
% 192.99/30.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e2) & ~ (all_57_4 = e1) & ~
% 192.99/30.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_6 = e0) & ~ (all_57_31 = e3) & op(e3,
% 192.99/30.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1) = all_57_0 & op(e3, all_57_3) =
% 192.99/30.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_2 & op(e3, all_57_5) = all_57_4 & op(e3,
% 192.99/30.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7) = all_57_6 & op(e3, e3) = all_57_1 &
% 192.99/30.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_3 & op(e3, e1) = all_57_5 &
% 192.99/30.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_7 & op(e0, e3) = e0 &
% 192.99/30.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_0) & $i(all_57_1) & $i(all_57_2) &
% 192.99/30.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_3) & $i(all_57_4) & $i(all_57_5) &
% 192.99/30.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_6) & $i(all_57_7))
% 192.99/30.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (959) gives:
% 192.99/30.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.99/30.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (960) all_57_23 = e1 & ~ (all_57_21 = e0) & ~
% 192.99/30.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 192.99/30.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) & op(e1,
% 192.99/30.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_21 & op(e1, e0) = e1 & op(e0,
% 192.99/30.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25) = all_57_24 & op(e0, all_57_27) =
% 192.99/30.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e0, all_57_29) = all_57_28 & op(e0,
% 192.99/30.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_31) = all_57_30 & op(e0, e3) = all_57_25
% 192.99/30.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e2) = all_57_27 & op(e0, e1) = all_57_29
% 192.99/30.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_21) & $i(all_57_24) & $i(all_57_25) &
% 192.99/30.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_27) & $i(all_57_28) &
% 192.99/30.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29) & $i(all_57_30)
% 192.99/30.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (960) implies:
% 192.99/30.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (961) op(e1, e0) = e1
% 192.99/30.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (160), (947), (961), (function-axioms) are
% 192.99/30.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1938.
% 192.99/30.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.99/30.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (962) all_57_25 = e0 & ~ (all_57_0 = e3) & ~ (all_57_2
% 192.99/30.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2) & ~ (all_57_4 = e1) & ~ (all_57_6 = e0)
% 192.99/30.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_31 = e3) & op(e3, all_57_1) =
% 192.99/30.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_0 & op(e3, all_57_3) = all_57_2 & op(e3,
% 192.99/30.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_5) = all_57_4 & op(e3, all_57_7) =
% 192.99/30.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_6 & op(e3, e3) = all_57_1 & op(e3, e2) =
% 192.99/30.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 & op(e3, e1) = all_57_5 & op(e3, e0) =
% 192.99/30.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7 & op(e0, e3) = e0 & $i(all_57_0) &
% 192.99/30.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_2) & $i(all_57_3) &
% 192.99/30.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4) & $i(all_57_5) & $i(all_57_6) &
% 192.99/30.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7)
% 192.99/30.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (962) implies:
% 192.99/30.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (963) op(e0, e3) = e0
% 192.99/30.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (958), (963), (function-axioms) are
% 192.99/30.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1877.
% 192.99/30.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.99/30.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.99/30.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (964) (all_57_27 = e0 & ~ (all_57_8 = e3) & ~
% 192.99/30.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e2) & ~ (all_57_12 = e1) & ~
% 192.99/30.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e0) & ~ (all_57_31 = e2) & op(e2,
% 192.99/30.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_9) = all_57_8 & op(e2, all_57_11) =
% 192.99/30.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e2, all_57_13) = all_57_12 &
% 192.99/30.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_15) = all_57_14 & op(e2, e3) =
% 192.99/30.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_9 & op(e2, e2) = all_57_11 & op(e2, e1) =
% 192.99/30.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_13 & op(e2, e0) = all_57_15 & op(e0, e2)
% 192.99/30.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & $i(all_57_8) & $i(all_57_9) &
% 192.99/30.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & $i(all_57_11) & $i(all_57_12) &
% 192.99/30.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13) & $i(all_57_14) & $i(all_57_15)) |
% 192.99/30.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_29 = e0 & ~ (all_57_16 = e3) & ~
% 192.99/30.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_18 = e2) & ~ (all_57_20 = e1) & ~
% 192.99/30.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_22 = e0) & ~ (all_57_31 = e1) & op(e1,
% 192.99/30.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17) = all_57_16 & op(e1, all_57_19) =
% 192.99/30.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_18 & op(e1, all_57_21) = all_57_20 &
% 192.99/30.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_23) = all_57_22 & op(e1, e3) =
% 192.99/30.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e1, e2) = all_57_19 & op(e1, e1)
% 192.99/30.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_21 & op(e1, e0) = all_57_23 & op(e0,
% 192.99/30.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0 & $i(all_57_16) & $i(all_57_17) &
% 192.99/30.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_19) & $i(all_57_20) &
% 192.99/30.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_22) & $i(all_57_23))
% 192.99/30.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (964) gives:
% 192.99/30.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.99/30.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (965) all_57_27 = e0 & ~ (all_57_8 = e3) & ~
% 192.99/30.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e2) & ~ (all_57_12 = e1) & ~
% 192.99/30.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e0) & ~ (all_57_31 = e2) & op(e2,
% 192.99/30.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_9) = all_57_8 & op(e2, all_57_11) =
% 192.99/30.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e2, all_57_13) = all_57_12 & op(e2,
% 192.99/30.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15) = all_57_14 & op(e2, e3) = all_57_9 &
% 192.99/30.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_11 & op(e2, e1) = all_57_13 &
% 192.99/30.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_15 & op(e0, e2) = e0 &
% 192.99/30.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8) & $i(all_57_9) & $i(all_57_10) &
% 192.99/30.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_12) & $i(all_57_13) &
% 192.99/30.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & $i(all_57_15)
% 192.99/30.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (965) implies:
% 192.99/30.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (966) ~ (all_57_10 = e2)
% 192.99/30.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (967) op(e2, e2) = all_57_11
% 192.99/30.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (968) op(e2, all_57_11) = all_57_10
% 192.99/30.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (158), (162), (170), (227), (390), (391), (392),
% 192.99/30.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (966), (967), (968), (function-axioms) are
% 192.99/30.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1967.
% 192.99/30.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.99/30.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (969) all_57_29 = e0 & ~ (all_57_16 = e3) & ~
% 192.99/30.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_18 = e2) & ~ (all_57_20 = e1) & ~
% 192.99/30.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_22 = e0) & ~ (all_57_31 = e1) & op(e1,
% 192.99/30.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17) = all_57_16 & op(e1, all_57_19) =
% 192.99/30.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_18 & op(e1, all_57_21) = all_57_20 & op(e1,
% 192.99/30.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23) = all_57_22 & op(e1, e3) = all_57_17
% 192.99/30.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = all_57_19 & op(e1, e1) = all_57_21
% 192.99/30.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e0) = all_57_23 & op(e0, e1) = e0 &
% 192.99/30.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_16) & $i(all_57_17) & $i(all_57_18) &
% 192.99/30.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_20) & $i(all_57_21) &
% 192.99/30.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_23)
% 192.99/30.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (969) implies:
% 192.99/30.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (970) ~ (all_57_22 = e0)
% 192.99/30.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (971) op(e1, e0) = all_57_23
% 192.99/30.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (972) op(e1, all_57_23) = all_57_22
% 192.99/30.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (160), (250), (492), (750), (947), (970), (971),
% 192.99/30.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (972), (function-axioms) are inconsistent by
% 192.99/30.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1765.
% 192.99/30.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.99/30.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.99/30.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.99/30.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.99/30.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.99/30.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (973) all_54_3 = e0
% 192.99/30.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (270), (727), (973) are inconsistent by sub-proof
% 192.99/30.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1764.
% 192.99/30.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.99/30.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.99/30.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (974) all_56_3 = e1 & op(e2, e2) = e1
% 192.99/30.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (974) implies:
% 192.99/30.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (975) op(e2, e2) = e1
% 192.99/30.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (396), (975), (function-axioms) are
% 192.99/30.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1961.
% 192.99/30.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.99/30.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.99/30.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (976) (all_56_5 = e1 & op(e2, e1) = e1) | (all_56_10 =
% 192.99/30.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e2, e0) = e1)
% 192.99/30.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (976) gives:
% 192.99/30.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.99/30.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (977) all_56_5 = e1 & op(e2, e1) = e1
% 192.99/30.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (977) implies:
% 192.99/30.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (978) all_56_5 = e1
% 192.99/30.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (939), (978) are inconsistent by sub-proof
% 192.99/30.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1805.
% 192.99/30.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.99/30.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (979) all_56_10 = e1 & op(e2, e0) = e1
% 192.99/30.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (925), (979) are inconsistent by sub-proof
% 192.99/30.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1814.
% 192.99/30.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.99/30.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.99/30.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.99/30.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (980) all_56_10 = e0 & op(e2, e0) = e0
% 192.99/30.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (980) implies:
% 192.99/30.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (981) all_56_10 = e0
% 192.99/30.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (925), (981) imply:
% 192.99/30.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (982) e3 = e0
% 192.99/30.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (930), (982) imply:
% 192.99/30.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (983) all_56_1 = e0
% 192.99/30.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (7), (8), (9), (45), (51), (158), (160),
% 192.99/30.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (162), (170), (227), (236), (239), (371), (377),
% 192.99/30.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (390), (391), (392), (396), (502), (584), (744),
% 192.99/30.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (935), (983), (function-axioms) are inconsistent
% 192.99/30.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1808.
% 192.99/30.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.99/30.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.99/30.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.99/30.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.99/30.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.99/30.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.99/30.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (984) (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_9 = e3
% 192.99/30.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e3)
% 192.99/30.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (168), (502), (915), (984), (function-axioms)
% 192.99/30.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1763.
% 192.99/30.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.99/30.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.99/30.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.99/30.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (985) (all_56_11 = e3 & op(e1, e0) = e3) | (all_56_15 =
% 192.99/30.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = e3)
% 192.99/30.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (160), (493), (583), (985), (function-axioms)
% 192.99/30.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1761.
% 192.99/30.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.99/30.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.99/30.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.99/30.36 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.36 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.99/30.36 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.36 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.99/30.36 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.36 | | | | | | | | | | | | | | | | | | | | | | | | | | (986) all_56_2 = e0 & op(e2, e3) = e0
% 192.99/30.36 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.36 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (986) implies:
% 192.99/30.36 | | | | | | | | | | | | | | | | | | | | | | | | | | (987) all_56_2 = e0
% 192.99/30.36 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.36 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (45), (51), (158),
% 192.99/30.36 | | | | | | | | | | | | | | | | | | | | | | | | | | (160), (162), (165), (170), (221), (222), (224),
% 192.99/30.36 | | | | | | | | | | | | | | | | | | | | | | | | | | (227), (231), (235), (239), (371), (377), (390),
% 192.99/30.36 | | | | | | | | | | | | | | | | | | | | | | | | | | (391), (392), (396), (496), (497), (581), (584),
% 192.99/30.36 | | | | | | | | | | | | | | | | | | | | | | | | | | (730), (744), (987), (function-axioms) are
% 192.99/30.36 | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1817.
% 192.99/30.36 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.36 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.99/30.36 | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.36 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.99/30.36 | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.36 | | | | | | | | | | | | | | | | | | | | | | | | | (988) (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 =
% 192.99/30.36 | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e3) = e0)
% 192.99/30.36 | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.36 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (988) gives:
% 192.99/30.36 | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.36 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.99/30.36 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.36 | | | | | | | | | | | | | | | | | | | | | | | | | | (989) all_56_6 = e0 & op(e1, e3) = e0
% 192.99/30.36 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.36 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (989) implies:
% 192.99/30.36 | | | | | | | | | | | | | | | | | | | | | | | | | | (990) all_56_6 = e0
% 192.99/30.36 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.36 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (496), (990) are inconsistent by sub-proof
% 192.99/30.36 | | | | | | | | | | | | | | | | | | | | | | | | | | #1857.
% 192.99/30.36 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.36 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.99/30.36 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.36 | | | | | | | | | | | | | | | | | | | | | | | | | | (991) all_56_12 = e0 & op(e0, e3) = e0
% 192.99/30.36 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.36 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (991) implies:
% 192.99/30.36 | | | | | | | | | | | | | | | | | | | | | | | | | | (992) op(e0, e3) = e0
% 192.99/30.36 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.36 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (159), (726), (992), (function-axioms) are
% 192.99/30.36 | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1896.
% 192.99/30.36 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.36 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.99/30.36 | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.36 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.99/30.36 | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.36 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.99/30.36 | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.36 | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.99/30.36 | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.36 | | | | | | | | | | | | | | | | | | | | | End of split
% 192.99/30.36 | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.36 | | | | | | | | | | | | | | | | | | | | End of split
% 192.99/30.36 | | | | | | | | | | | | | | | | | | | |
% 192.99/30.36 | | | | | | | | | | | | | | | | | | | End of split
% 192.99/30.36 | | | | | | | | | | | | | | | | | | |
% 192.99/30.36 | | | | | | | | | | | | | | | | | | End of split
% 192.99/30.36 | | | | | | | | | | | | | | | | | |
% 192.99/30.36 | | | | | | | | | | | | | | | | | End of split
% 192.99/30.36 | | | | | | | | | | | | | | | | |
% 192.99/30.36 | | | | | | | | | | | | | | | | End of split
% 192.99/30.36 | | | | | | | | | | | | | | | |
% 192.99/30.36 | | | | | | | | | | | | | | | Case 2:
% 192.99/30.36 | | | | | | | | | | | | | | | |
% 192.99/30.36 | | | | | | | | | | | | | | | | (993) all_56_9 = e2 & op(e3, e0) = e2
% 192.99/30.36 | | | | | | | | | | | | | | | |
% 192.99/30.36 | | | | | | | | | | | | | | | | REF_CLOSE: (168), (491), (993), (function-axioms) are
% 192.99/30.36 | | | | | | | | | | | | | | | | inconsistent by sub-proof #1760.
% 192.99/30.36 | | | | | | | | | | | | | | | |
% 192.99/30.36 | | | | | | | | | | | | | | | End of split
% 192.99/30.36 | | | | | | | | | | | | | | |
% 192.99/30.36 | | | | | | | | | | | | | | End of split
% 192.99/30.36 | | | | | | | | | | | | | |
% 192.99/30.36 | | | | | | | | | | | | | Case 2:
% 192.99/30.36 | | | | | | | | | | | | | |
% 192.99/30.36 | | | | | | | | | | | | | | (994) all_56_7 = e2 & op(e1, e2) = e2
% 192.99/30.36 | | | | | | | | | | | | | |
% 192.99/30.36 | | | | | | | | | | | | | | ALPHA: (994) implies:
% 192.99/30.36 | | | | | | | | | | | | | | (995) op(e1, e2) = e2
% 192.99/30.36 | | | | | | | | | | | | | |
% 192.99/30.36 | | | | | | | | | | | | | | REF_CLOSE: (162), (391), (995), (function-axioms) are
% 192.99/30.36 | | | | | | | | | | | | | | inconsistent by sub-proof #1970.
% 192.99/30.36 | | | | | | | | | | | | | |
% 192.99/30.36 | | | | | | | | | | | | | End of split
% 192.99/30.36 | | | | | | | | | | | | |
% 192.99/30.36 | | | | | | | | | | | | Case 2:
% 192.99/30.36 | | | | | | | | | | | | |
% 192.99/30.36 | | | | | | | | | | | | | (996) (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_11 =
% 192.99/30.36 | | | | | | | | | | | | | e2 & op(e1, e0) = e2)
% 192.99/30.36 | | | | | | | | | | | | |
% 192.99/30.36 | | | | | | | | | | | | | REF_CLOSE: (36), (160), (375), (492), (996),
% 192.99/30.36 | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 192.99/30.36 | | | | | | | | | | | | | #1757.
% 192.99/30.36 | | | | | | | | | | | | |
% 192.99/30.36 | | | | | | | | | | | | End of split
% 192.99/30.36 | | | | | | | | | | | |
% 192.99/30.36 | | | | | | | | | | | End of split
% 192.99/30.36 | | | | | | | | | | |
% 192.99/30.36 | | | | | | | | | | Case 2:
% 192.99/30.36 | | | | | | | | | | |
% 192.99/30.36 | | | | | | | | | | | (997) all_28_2 = e1
% 192.99/30.36 | | | | | | | | | | | (998) op(e1, e3) = all_28_1 & $i(all_28_1) & ( ~
% 192.99/30.36 | | | | | | | | | | | (all_28_1 = e2) | ( ~ (all_28_0 = e0) & op(e2,
% 192.99/30.36 | | | | | | | | | | | e1) = all_28_0 & $i(all_28_0)))
% 192.99/30.36 | | | | | | | | | | |
% 192.99/30.36 | | | | | | | | | | | ALPHA: (998) implies:
% 192.99/30.36 | | | | | | | | | | | (999) op(e1, e3) = all_28_1
% 192.99/30.37 | | | | | | | | | | | (1000) ~ (all_28_1 = e2) | ( ~ (all_28_0 = e0) & op(e2,
% 192.99/30.37 | | | | | | | | | | | e1) = all_28_0 & $i(all_28_0))
% 192.99/30.37 | | | | | | | | | | |
% 192.99/30.37 | | | | | | | | | | | COMBINE_EQS: (315), (997) imply:
% 192.99/30.37 | | | | | | | | | | | (1001) all_14_2 = e1
% 192.99/30.37 | | | | | | | | | | |
% 192.99/30.37 | | | | | | | | | | | SIMP: (1001) implies:
% 192.99/30.37 | | | | | | | | | | | (1002) all_14_2 = e1
% 192.99/30.37 | | | | | | | | | | |
% 192.99/30.37 | | | | | | | | | | | COMBINE_EQS: (305), (1002) imply:
% 192.99/30.37 | | | | | | | | | | | (1003) all_36_2 = e1
% 192.99/30.37 | | | | | | | | | | |
% 192.99/30.37 | | | | | | | | | | | REDUCE: (339), (1002) imply:
% 192.99/30.37 | | | | | | | | | | | (1004) ~ (all_52_2 = e1)
% 192.99/30.37 | | | | | | | | | | |
% 192.99/30.37 | | | | | | | | | | | REDUCE: (341), (1002) imply:
% 192.99/30.37 | | | | | | | | | | | (1005) ~ (all_52_3 = e1)
% 192.99/30.37 | | | | | | | | | | |
% 192.99/30.37 | | | | | | | | | | | REDUCE: (343), (1002) imply:
% 192.99/30.37 | | | | | | | | | | | (1006) ~ (all_52_4 = e1)
% 192.99/30.37 | | | | | | | | | | |
% 192.99/30.37 | | | | | | | | | | | REDUCE: (377), (1002) imply:
% 192.99/30.37 | | | | | | | | | | | (1007) ~ (e2 = e1)
% 192.99/30.37 | | | | | | | | | | |
% 192.99/30.37 | | | | | | | | | | | REDUCE: (51), (1002) imply:
% 192.99/30.37 | | | | | | | | | | | (1008) op(e3, e3) = e1
% 192.99/30.37 | | | | | | | | | | |
% 192.99/30.37 | | | | | | | | | | | BETA: splitting (85) gives:
% 192.99/30.37 | | | | | | | | | | |
% 192.99/30.37 | | | | | | | | | | | Case 1:
% 192.99/30.37 | | | | | | | | | | | |
% 192.99/30.37 | | | | | | | | | | | | (1009) ~ (all_36_2 = e1)
% 192.99/30.37 | | | | | | | | | | | |
% 192.99/30.37 | | | | | | | | | | | | REDUCE: (1003), (1009) imply:
% 192.99/30.37 | | | | | | | | | | | | (1010) $false
% 192.99/30.37 | | | | | | | | | | | |
% 192.99/30.37 | | | | | | | | | | | | CLOSE: (1010) is inconsistent.
% 192.99/30.37 | | | | | | | | | | | |
% 192.99/30.37 | | | | | | | | | | | Case 2:
% 192.99/30.37 | | | | | | | | | | | |
% 192.99/30.37 | | | | | | | | | | | | (1011) op(e1, e3) = all_36_1 & $i(all_36_1) & ( ~
% 192.99/30.37 | | | | | | | | | | | | (all_36_1 = e0) | ( ~ (all_36_0 = e2) & op(e0,
% 192.99/30.37 | | | | | | | | | | | | e1) = all_36_0 & $i(all_36_0)))
% 192.99/30.37 | | | | | | | | | | | |
% 192.99/30.37 | | | | | | | | | | | | ALPHA: (1011) implies:
% 192.99/30.37 | | | | | | | | | | | | (1012) op(e1, e3) = all_36_1
% 192.99/30.37 | | | | | | | | | | | |
% 192.99/30.37 | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_2,
% 192.99/30.37 | | | | | | | | | | | | all_28_1, e3, e1, simplifying with (163), (999)
% 192.99/30.37 | | | | | | | | | | | | gives:
% 192.99/30.37 | | | | | | | | | | | | (1013) all_52_2 = all_28_1
% 192.99/30.37 | | | | | | | | | | | |
% 192.99/30.37 | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_2,
% 192.99/30.37 | | | | | | | | | | | | all_36_1, e3, e1, simplifying with (163), (1012)
% 192.99/30.37 | | | | | | | | | | | | gives:
% 192.99/30.37 | | | | | | | | | | | | (1014) all_52_2 = all_36_1
% 192.99/30.37 | | | | | | | | | | | |
% 192.99/30.37 | | | | | | | | | | | | COMBINE_EQS: (1013), (1014) imply:
% 192.99/30.37 | | | | | | | | | | | | (1015) all_36_1 = all_28_1
% 192.99/30.37 | | | | | | | | | | | |
% 192.99/30.37 | | | | | | | | | | | | SIMP: (1015) implies:
% 192.99/30.37 | | | | | | | | | | | | (1016) all_36_1 = all_28_1
% 192.99/30.37 | | | | | | | | | | | |
% 192.99/30.37 | | | | | | | | | | | | COMBINE_EQS: (259), (1013) imply:
% 192.99/30.37 | | | | | | | | | | | | (1017) all_54_8 = all_28_1
% 192.99/30.37 | | | | | | | | | | | |
% 192.99/30.37 | | | | | | | | | | | | REDUCE: (144), (1013) imply:
% 192.99/30.37 | | | | | | | | | | | | (1018) ~ (all_52_3 = all_28_1)
% 192.99/30.37 | | | | | | | | | | | |
% 192.99/30.37 | | | | | | | | | | | | SIMP: (1018) implies:
% 192.99/30.37 | | | | | | | | | | | | (1019) ~ (all_52_3 = all_28_1)
% 192.99/30.37 | | | | | | | | | | | |
% 192.99/30.37 | | | | | | | | | | | | REDUCE: (143), (1013) imply:
% 192.99/30.37 | | | | | | | | | | | | (1020) ~ (all_52_6 = all_28_1)
% 192.99/30.37 | | | | | | | | | | | |
% 192.99/30.37 | | | | | | | | | | | | SIMP: (1020) implies:
% 192.99/30.37 | | | | | | | | | | | | (1021) ~ (all_52_6 = all_28_1)
% 192.99/30.37 | | | | | | | | | | | |
% 192.99/30.37 | | | | | | | | | | | | REDUCE: (141), (1013) imply:
% 192.99/30.37 | | | | | | | | | | | | (1022) ~ (all_52_14 = all_28_1)
% 192.99/30.37 | | | | | | | | | | | |
% 192.99/30.37 | | | | | | | | | | | | SIMP: (1022) implies:
% 192.99/30.37 | | | | | | | | | | | | (1023) ~ (all_52_14 = all_28_1)
% 192.99/30.37 | | | | | | | | | | | |
% 192.99/30.37 | | | | | | | | | | | | REDUCE: (349), (1013) imply:
% 192.99/30.37 | | | | | | | | | | | | (1024) ~ (all_28_1 = all_4_2)
% 192.99/30.37 | | | | | | | | | | | |
% 192.99/30.37 | | | | | | | | | | | | REDUCE: (1004), (1013) imply:
% 192.99/30.37 | | | | | | | | | | | | (1025) ~ (all_28_1 = e1)
% 192.99/30.37 | | | | | | | | | | | |
% 192.99/30.37 | | | | | | | | | | | | BETA: splitting (76) gives:
% 192.99/30.37 | | | | | | | | | | | |
% 192.99/30.37 | | | | | | | | | | | | Case 1:
% 192.99/30.37 | | | | | | | | | | | | |
% 192.99/30.37 | | | | | | | | | | | | | (1026) ~ (all_30_2 = e2)
% 192.99/30.37 | | | | | | | | | | | | |
% 192.99/30.37 | | | | | | | | | | | | | REDUCE: (309), (1026) imply:
% 192.99/30.37 | | | | | | | | | | | | | (1027) ~ (all_10_2 = e2)
% 192.99/30.37 | | | | | | | | | | | | |
% 192.99/30.37 | | | | | | | | | | | | | BETA: splitting (79) gives:
% 192.99/30.37 | | | | | | | | | | | | |
% 192.99/30.37 | | | | | | | | | | | | | Case 1:
% 192.99/30.37 | | | | | | | | | | | | | |
% 192.99/30.37 | | | | | | | | | | | | | | (1028) ~ (all_32_2 = e3)
% 192.99/30.37 | | | | | | | | | | | | | |
% 192.99/30.37 | | | | | | | | | | | | | | REDUCE: (301), (1028) imply:
% 192.99/30.37 | | | | | | | | | | | | | | (1029) ~ (all_4_2 = e3)
% 192.99/30.37 | | | | | | | | | | | | | |
% 192.99/30.37 | | | | | | | | | | | | | | REF_CLOSE: (5), (9), (36), (45), (158), (162), (170), (194),
% 192.99/30.37 | | | | | | | | | | | | | | (227), (239), (335), (372), (375), (376), (390),
% 192.99/30.37 | | | | | | | | | | | | | | (391), (392), (396), (1008), (1029),
% 192.99/30.37 | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 192.99/30.37 | | | | | | | | | | | | | | #1755.
% 192.99/30.37 | | | | | | | | | | | | | |
% 192.99/30.37 | | | | | | | | | | | | | Case 2:
% 192.99/30.37 | | | | | | | | | | | | | |
% 192.99/30.37 | | | | | | | | | | | | | | (1030) all_32_2 = e3
% 192.99/30.37 | | | | | | | | | | | | | | (1031) op(e3, e1) = all_32_1 & $i(all_32_1) & ( ~
% 192.99/30.37 | | | | | | | | | | | | | | (all_32_1 = e0) | ( ~ (all_32_0 = e2) & op(e0,
% 192.99/30.37 | | | | | | | | | | | | | | e3) = all_32_0 & $i(all_32_0)))
% 192.99/30.37 | | | | | | | | | | | | | |
% 192.99/30.37 | | | | | | | | | | | | | | ALPHA: (1031) implies:
% 192.99/30.37 | | | | | | | | | | | | | | (1032) op(e3, e1) = all_32_1
% 192.99/30.37 | | | | | | | | | | | | | |
% 192.99/30.37 | | | | | | | | | | | | | | COMBINE_EQS: (301), (1030) imply:
% 192.99/30.37 | | | | | | | | | | | | | | (1033) all_4_2 = e3
% 192.99/30.37 | | | | | | | | | | | | | |
% 192.99/30.37 | | | | | | | | | | | | | | SIMP: (1033) implies:
% 192.99/30.37 | | | | | | | | | | | | | | (1034) all_4_2 = e3
% 192.99/30.37 | | | | | | | | | | | | | |
% 192.99/30.37 | | | | | | | | | | | | | | COMBINE_EQS: (295), (1034) imply:
% 192.99/30.37 | | | | | | | | | | | | | | (1035) all_50_2 = e3
% 192.99/30.37 | | | | | | | | | | | | | |
% 192.99/30.37 | | | | | | | | | | | | | | REDUCE: (360), (1034) imply:
% 192.99/30.37 | | | | | | | | | | | | | | (1036) ~ (all_52_6 = e3)
% 192.99/30.37 | | | | | | | | | | | | | |
% 192.99/30.37 | | | | | | | | | | | | | | REDUCE: (362), (1034) imply:
% 192.99/30.37 | | | | | | | | | | | | | | (1037) ~ (all_52_8 = e3)
% 192.99/30.37 | | | | | | | | | | | | | |
% 192.99/30.37 | | | | | | | | | | | | | | REDUCE: (363), (1034) imply:
% 192.99/30.37 | | | | | | | | | | | | | | (1038) ~ (all_52_9 = e3)
% 192.99/30.37 | | | | | | | | | | | | | |
% 192.99/30.37 | | | | | | | | | | | | | | REDUCE: (365), (1034) imply:
% 192.99/30.37 | | | | | | | | | | | | | | (1039) ~ (all_52_11 = e3)
% 192.99/30.37 | | | | | | | | | | | | | |
% 192.99/30.37 | | | | | | | | | | | | | | REDUCE: (367), (1034) imply:
% 192.99/30.37 | | | | | | | | | | | | | | (1040) ~ (all_52_14 = e3)
% 192.99/30.37 | | | | | | | | | | | | | |
% 192.99/30.37 | | | | | | | | | | | | | | REDUCE: (1024), (1034) imply:
% 192.99/30.37 | | | | | | | | | | | | | | (1041) ~ (all_28_1 = e3)
% 192.99/30.37 | | | | | | | | | | | | | |
% 192.99/30.37 | | | | | | | | | | | | | | REDUCE: (36), (1034) imply:
% 192.99/30.37 | | | | | | | | | | | | | | (1042) op(e1, e1) = e3
% 192.99/30.37 | | | | | | | | | | | | | |
% 192.99/30.37 | | | | | | | | | | | | | | BETA: splitting (106) gives:
% 192.99/30.37 | | | | | | | | | | | | | |
% 192.99/30.37 | | | | | | | | | | | | | | Case 1:
% 192.99/30.37 | | | | | | | | | | | | | | |
% 192.99/30.37 | | | | | | | | | | | | | | | (1043) ~ (all_50_2 = e3)
% 192.99/30.37 | | | | | | | | | | | | | | |
% 192.99/30.37 | | | | | | | | | | | | | | | REDUCE: (1035), (1043) imply:
% 192.99/30.37 | | | | | | | | | | | | | | | (1044) $false
% 192.99/30.37 | | | | | | | | | | | | | | |
% 192.99/30.37 | | | | | | | | | | | | | | | CLOSE: (1044) is inconsistent.
% 192.99/30.37 | | | | | | | | | | | | | | |
% 192.99/30.37 | | | | | | | | | | | | | | Case 2:
% 192.99/30.37 | | | | | | | | | | | | | | |
% 192.99/30.37 | | | | | | | | | | | | | | | (1045) op(e3, e1) = all_50_1 & $i(all_50_1) & ( ~
% 192.99/30.37 | | | | | | | | | | | | | | | (all_50_1 = e2) | ( ~ (all_50_0 = e0) & op(e2,
% 192.99/30.37 | | | | | | | | | | | | | | | e3) = all_50_0 & $i(all_50_0)))
% 192.99/30.37 | | | | | | | | | | | | | | |
% 192.99/30.37 | | | | | | | | | | | | | | | ALPHA: (1045) implies:
% 192.99/30.37 | | | | | | | | | | | | | | | (1046) op(e3, e1) = all_50_1
% 192.99/30.37 | | | | | | | | | | | | | | |
% 192.99/30.37 | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_8,
% 192.99/30.37 | | | | | | | | | | | | | | | all_32_1, e1, e3, simplifying with (169), (1032)
% 192.99/30.37 | | | | | | | | | | | | | | | gives:
% 192.99/30.37 | | | | | | | | | | | | | | | (1047) all_52_8 = all_32_1
% 192.99/30.37 | | | | | | | | | | | | | | |
% 192.99/30.37 | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_8,
% 192.99/30.37 | | | | | | | | | | | | | | | all_50_1, e1, e3, simplifying with (169), (1046)
% 192.99/30.37 | | | | | | | | | | | | | | | gives:
% 192.99/30.37 | | | | | | | | | | | | | | | (1048) all_52_8 = all_50_1
% 192.99/30.37 | | | | | | | | | | | | | | |
% 192.99/30.37 | | | | | | | | | | | | | | | COMBINE_EQS: (1047), (1048) imply:
% 192.99/30.37 | | | | | | | | | | | | | | | (1049) all_50_1 = all_32_1
% 192.99/30.37 | | | | | | | | | | | | | | |
% 192.99/30.37 | | | | | | | | | | | | | | | SIMP: (1049) implies:
% 192.99/30.37 | | | | | | | | | | | | | | | (1050) all_50_1 = all_32_1
% 192.99/30.37 | | | | | | | | | | | | | | |
% 192.99/30.37 | | | | | | | | | | | | | | | COMBINE_EQS: (271), (1047) imply:
% 192.99/30.37 | | | | | | | | | | | | | | | (1051) all_54_2 = all_32_1
% 192.99/30.37 | | | | | | | | | | | | | | |
% 192.99/30.37 | | | | | | | | | | | | | | | REDUCE: (134), (1047) imply:
% 192.99/30.37 | | | | | | | | | | | | | | | (1052) ~ (all_52_4 = all_32_1)
% 192.99/30.37 | | | | | | | | | | | | | | |
% 192.99/30.37 | | | | | | | | | | | | | | | REDUCE: (123), (1047) imply:
% 192.99/30.37 | | | | | | | | | | | | | | | (1053) ~ (all_52_9 = all_32_1)
% 192.99/30.37 | | | | | | | | | | | | | | |
% 192.99/30.37 | | | | | | | | | | | | | | | SIMP: (1053) implies:
% 192.99/30.37 | | | | | | | | | | | | | | | (1054) ~ (all_52_9 = all_32_1)
% 192.99/30.37 | | | | | | | | | | | | | | |
% 192.99/30.37 | | | | | | | | | | | | | | | REDUCE: (121), (1047) imply:
% 192.99/30.37 | | | | | | | | | | | | | | | (1055) ~ (all_52_11 = all_32_1)
% 192.99/30.37 | | | | | | | | | | | | | | |
% 192.99/30.37 | | | | | | | | | | | | | | | SIMP: (1055) implies:
% 192.99/30.37 | | | | | | | | | | | | | | | (1056) ~ (all_52_11 = all_32_1)
% 192.99/30.37 | | | | | | | | | | | | | | |
% 192.99/30.37 | | | | | | | | | | | | | | | REDUCE: (120), (1047) imply:
% 192.99/30.37 | | | | | | | | | | | | | | | (1057) ~ (all_52_12 = all_32_1)
% 192.99/30.37 | | | | | | | | | | | | | | |
% 192.99/30.37 | | | | | | | | | | | | | | | SIMP: (1057) implies:
% 192.99/30.37 | | | | | | | | | | | | | | | (1058) ~ (all_52_12 = all_32_1)
% 192.99/30.37 | | | | | | | | | | | | | | |
% 192.99/30.37 | | | | | | | | | | | | | | | REDUCE: (1037), (1047) imply:
% 192.99/30.37 | | | | | | | | | | | | | | | (1059) ~ (all_32_1 = e3)
% 192.99/30.37 | | | | | | | | | | | | | | |
% 192.99/30.37 | | | | | | | | | | | | | | | BETA: splitting (91) gives:
% 192.99/30.37 | | | | | | | | | | | | | | |
% 192.99/30.37 | | | | | | | | | | | | | | | Case 1:
% 192.99/30.37 | | | | | | | | | | | | | | | |
% 192.99/30.37 | | | | | | | | | | | | | | | | (1060) ~ (all_40_2 = e1)
% 192.99/30.37 | | | | | | | | | | | | | | | |
% 192.99/30.37 | | | | | | | | | | | | | | | | REDUCE: (307), (1060) imply:
% 192.99/30.37 | | | | | | | | | | | | | | | | (1061) ~ (all_10_2 = e1)
% 192.99/30.37 | | | | | | | | | | | | | | | |
% 192.99/30.37 | | | | | | | | | | | | | | | | REF_CLOSE: (45), (91), (157), (158), (159), (160), (162),
% 192.99/30.37 | | | | | | | | | | | | | | | | (163), (164), (165), (167), (170), (189), (227),
% 192.99/30.37 | | | | | | | | | | | | | | | | (238), (246), (307), (350), (361), (368), (371),
% 192.99/30.37 | | | | | | | | | | | | | | | | (376), (389), (390), (391), (392), (393), (394),
% 192.99/30.37 | | | | | | | | | | | | | | | | (1004), (1008), (1012), (1027), (1061),
% 192.99/30.37 | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 192.99/30.37 | | | | | | | | | | | | | | | | #1749.
% 192.99/30.37 | | | | | | | | | | | | | | | |
% 192.99/30.37 | | | | | | | | | | | | | | | Case 2:
% 192.99/30.37 | | | | | | | | | | | | | | | |
% 192.99/30.37 | | | | | | | | | | | | | | | | (1062) all_40_2 = e1
% 192.99/30.37 | | | | | | | | | | | | | | | | (1063) op(e1, e0) = all_40_1 & $i(all_40_1) & ( ~
% 192.99/30.37 | | | | | | | | | | | | | | | | (all_40_1 = e3) | ( ~ (all_40_0 = e2) & op(e3,
% 192.99/30.37 | | | | | | | | | | | | | | | | e1) = all_40_0 & $i(all_40_0)))
% 192.99/30.37 | | | | | | | | | | | | | | | |
% 192.99/30.37 | | | | | | | | | | | | | | | | ALPHA: (1063) implies:
% 192.99/30.37 | | | | | | | | | | | | | | | | (1064) op(e1, e0) = all_40_1
% 192.99/30.37 | | | | | | | | | | | | | | | |
% 192.99/30.37 | | | | | | | | | | | | | | | | COMBINE_EQS: (307), (1062) imply:
% 192.99/30.37 | | | | | | | | | | | | | | | | (1065) all_10_2 = e1
% 192.99/30.37 | | | | | | | | | | | | | | | |
% 192.99/30.37 | | | | | | | | | | | | | | | | SIMP: (1065) implies:
% 192.99/30.37 | | | | | | | | | | | | | | | | (1066) all_10_2 = e1
% 192.99/30.37 | | | | | | | | | | | | | | | |
% 192.99/30.37 | | | | | | | | | | | | | | | | COMBINE_EQS: (297), (1066) imply:
% 192.99/30.37 | | | | | | | | | | | | | | | | (1067) all_46_2 = e1
% 192.99/30.37 | | | | | | | | | | | | | | | |
% 192.99/30.37 | | | | | | | | | | | | | | | | REDUCE: (369), (1066) imply:
% 192.99/30.37 | | | | | | | | | | | | | | | | (1068) ~ (all_52_12 = e1)
% 192.99/30.37 | | | | | | | | | | | | | | | |
% 192.99/30.37 | | | | | | | | | | | | | | | | REDUCE: (371), (1066) imply:
% 192.99/30.37 | | | | | | | | | | | | | | | | (1069) ~ (all_52_14 = e1)
% 192.99/30.37 | | | | | | | | | | | | | | | |
% 192.99/30.37 | | | | | | | | | | | | | | | | REDUCE: (376), (1066) imply:
% 192.99/30.37 | | | | | | | | | | | | | | | | (1070) ~ (e3 = e1)
% 192.99/30.37 | | | | | | | | | | | | | | | |
% 192.99/30.37 | | | | | | | | | | | | | | | | REDUCE: (45), (1066) imply:
% 192.99/30.37 | | | | | | | | | | | | | | | | (1071) op(e0, e0) = e1
% 192.99/30.37 | | | | | | | | | | | | | | | |
% 192.99/30.37 | | | | | | | | | | | | | | | | BETA: splitting (100) gives:
% 192.99/30.37 | | | | | | | | | | | | | | | |
% 192.99/30.37 | | | | | | | | | | | | | | | | Case 1:
% 192.99/30.37 | | | | | | | | | | | | | | | | |
% 192.99/30.37 | | | | | | | | | | | | | | | | | (1072) ~ (all_46_2 = e1)
% 192.99/30.37 | | | | | | | | | | | | | | | | |
% 192.99/30.37 | | | | | | | | | | | | | | | | | REDUCE: (1067), (1072) imply:
% 192.99/30.37 | | | | | | | | | | | | | | | | | (1073) $false
% 192.99/30.37 | | | | | | | | | | | | | | | | |
% 192.99/30.37 | | | | | | | | | | | | | | | | | CLOSE: (1073) is inconsistent.
% 192.99/30.37 | | | | | | | | | | | | | | | | |
% 192.99/30.37 | | | | | | | | | | | | | | | | Case 2:
% 192.99/30.37 | | | | | | | | | | | | | | | | |
% 192.99/30.37 | | | | | | | | | | | | | | | | | (1074) op(e1, e0) = all_46_1 & $i(all_46_1) & ( ~
% 192.99/30.37 | | | | | | | | | | | | | | | | | (all_46_1 = e2) | ( ~ (all_46_0 = e3) & op(e2,
% 192.99/30.37 | | | | | | | | | | | | | | | | | e1) = all_46_0 & $i(all_46_0)))
% 192.99/30.37 | | | | | | | | | | | | | | | | |
% 192.99/30.37 | | | | | | | | | | | | | | | | | ALPHA: (1074) implies:
% 192.99/30.37 | | | | | | | | | | | | | | | | | (1075) op(e1, e0) = all_46_1
% 192.99/30.37 | | | | | | | | | | | | | | | | |
% 192.99/30.37 | | | | | | | | | | | | | | | | | BETA: splitting (222) gives:
% 192.99/30.37 | | | | | | | | | | | | | | | | |
% 192.99/30.37 | | | | | | | | | | | | | | | | | Case 1:
% 192.99/30.37 | | | | | | | | | | | | | | | | | |
% 192.99/30.37 | | | | | | | | | | | | | | | | | | (1076) (all_56_2 = e1 & op(e2, e3) = e1) | (all_56_3 = e1
% 192.99/30.37 | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1)
% 192.99/30.37 | | | | | | | | | | | | | | | | | |
% 192.99/30.37 | | | | | | | | | | | | | | | | | | BETA: splitting (1076) gives:
% 192.99/30.37 | | | | | | | | | | | | | | | | | |
% 192.99/30.37 | | | | | | | | | | | | | | | | | | Case 1:
% 192.99/30.37 | | | | | | | | | | | | | | | | | | |
% 192.99/30.37 | | | | | | | | | | | | | | | | | | | (1077) all_56_2 = e1 & op(e2, e3) = e1
% 192.99/30.37 | | | | | | | | | | | | | | | | | | |
% 192.99/30.37 | | | | | | | | | | | | | | | | | | | ALPHA: (1077) implies:
% 192.99/30.37 | | | | | | | | | | | | | | | | | | | (1078) all_56_2 = e1
% 192.99/30.37 | | | | | | | | | | | | | | | | | | |
% 192.99/30.37 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (229), (233), (235),
% 192.99/30.37 | | | | | | | | | | | | | | | | | | | (1008), (1078), (function-axioms) are inconsistent
% 192.99/30.37 | | | | | | | | | | | | | | | | | | | by sub-proof #1735.
% 192.99/30.37 | | | | | | | | | | | | | | | | | | |
% 192.99/30.37 | | | | | | | | | | | | | | | | | | Case 2:
% 192.99/30.37 | | | | | | | | | | | | | | | | | | |
% 192.99/30.37 | | | | | | | | | | | | | | | | | | | (1079) all_56_3 = e1 & op(e2, e2) = e1
% 192.99/30.37 | | | | | | | | | | | | | | | | | | |
% 192.99/30.37 | | | | | | | | | | | | | | | | | | | ALPHA: (1079) implies:
% 192.99/30.37 | | | | | | | | | | | | | | | | | | | (1080) op(e2, e2) = e1
% 192.99/30.37 | | | | | | | | | | | | | | | | | | |
% 192.99/30.37 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (396), (1080), (function-axioms) are
% 192.99/30.37 | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1961.
% 192.99/30.37 | | | | | | | | | | | | | | | | | | |
% 192.99/30.37 | | | | | | | | | | | | | | | | | | End of split
% 192.99/30.37 | | | | | | | | | | | | | | | | | |
% 192.99/30.37 | | | | | | | | | | | | | | | | | Case 2:
% 192.99/30.37 | | | | | | | | | | | | | | | | | |
% 192.99/30.37 | | | | | | | | | | | | | | | | | | (1081) (all_56_5 = e1 & op(e2, e1) = e1) | (all_56_10 =
% 192.99/30.37 | | | | | | | | | | | | | | | | | | e1 & op(e2, e0) = e1)
% 192.99/30.37 | | | | | | | | | | | | | | | | | |
% 192.99/30.37 | | | | | | | | | | | | | | | | | | BETA: splitting (1081) gives:
% 192.99/30.37 | | | | | | | | | | | | | | | | | |
% 192.99/30.37 | | | | | | | | | | | | | | | | | | Case 1:
% 192.99/30.37 | | | | | | | | | | | | | | | | | | |
% 192.99/30.37 | | | | | | | | | | | | | | | | | | | (1082) all_56_5 = e1 & op(e2, e1) = e1
% 192.99/30.37 | | | | | | | | | | | | | | | | | | |
% 192.99/30.37 | | | | | | | | | | | | | | | | | | | ALPHA: (1082) implies:
% 192.99/30.37 | | | | | | | | | | | | | | | | | | | (1083) all_56_5 = e1
% 192.99/30.37 | | | | | | | | | | | | | | | | | | | (1084) op(e2, e1) = e1
% 192.99/30.37 | | | | | | | | | | | | | | | | | | |
% 192.99/30.37 | | | | | | | | | | | | | | | | | | | BETA: splitting (226) gives:
% 192.99/30.37 | | | | | | | | | | | | | | | | | | |
% 192.99/30.37 | | | | | | | | | | | | | | | | | | | Case 1:
% 192.99/30.37 | | | | | | | | | | | | | | | | | | | |
% 192.99/30.37 | | | | | | | | | | | | | | | | | | | | (1085) (all_56_1 = e1 & op(e3, e2) = e1) | (all_56_3 = e1
% 192.99/30.37 | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1)
% 192.99/30.37 | | | | | | | | | | | | | | | | | | | |
% 192.99/30.37 | | | | | | | | | | | | | | | | | | | | BETA: splitting (1085) gives:
% 192.99/30.37 | | | | | | | | | | | | | | | | | | | |
% 192.99/30.37 | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.99/30.37 | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.37 | | | | | | | | | | | | | | | | | | | | | (1086) all_56_1 = e1 & op(e3, e2) = e1
% 192.99/30.37 | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.37 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (170), (1006), (1086), (function-axioms) are
% 192.99/30.37 | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1734.
% 192.99/30.37 | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.37 | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.99/30.37 | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.37 | | | | | | | | | | | | | | | | | | | | | (1087) all_56_3 = e1 & op(e2, e2) = e1
% 192.99/30.37 | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.37 | | | | | | | | | | | | | | | | | | | | | ALPHA: (1087) implies:
% 192.99/30.37 | | | | | | | | | | | | | | | | | | | | | (1088) op(e2, e2) = e1
% 192.99/30.37 | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.37 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (396), (1088), (function-axioms) are
% 192.99/30.37 | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1961.
% 192.99/30.37 | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.37 | | | | | | | | | | | | | | | | | | | | End of split
% 192.99/30.37 | | | | | | | | | | | | | | | | | | | |
% 192.99/30.37 | | | | | | | | | | | | | | | | | | | Case 2:
% 192.99/30.37 | | | | | | | | | | | | | | | | | | | |
% 192.99/30.37 | | | | | | | | | | | | | | | | | | | | (1089) (all_56_7 = e1 & op(e1, e2) = e1) | (all_56_13 =
% 192.99/30.37 | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e2) = e1)
% 192.99/30.37 | | | | | | | | | | | | | | | | | | | |
% 192.99/30.37 | | | | | | | | | | | | | | | | | | | | BETA: splitting (1089) gives:
% 192.99/30.37 | | | | | | | | | | | | | | | | | | | |
% 192.99/30.37 | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.99/30.37 | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.37 | | | | | | | | | | | | | | | | | | | | | (1090) all_56_7 = e1 & op(e1, e2) = e1
% 192.99/30.37 | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.37 | | | | | | | | | | | | | | | | | | | | | ALPHA: (1090) implies:
% 192.99/30.37 | | | | | | | | | | | | | | | | | | | | | (1091) all_56_7 = e1
% 192.99/30.37 | | | | | | | | | | | | | | | | | | | | | (1092) op(e1, e2) = e1
% 192.99/30.37 | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.37 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_14,
% 192.99/30.37 | | | | | | | | | | | | | | | | | | | | | all_40_1, e0, e1, simplifying with (160), (1064)
% 192.99/30.37 | | | | | | | | | | | | | | | | | | | | | gives:
% 192.99/30.37 | | | | | | | | | | | | | | | | | | | | | (1093) all_52_14 = all_40_1
% 192.99/30.37 | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.37 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_14,
% 192.99/30.37 | | | | | | | | | | | | | | | | | | | | | all_46_1, e0, e1, simplifying with (160), (1075)
% 192.99/30.37 | | | | | | | | | | | | | | | | | | | | | gives:
% 192.99/30.37 | | | | | | | | | | | | | | | | | | | | | (1094) all_52_14 = all_46_1
% 192.99/30.37 | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.37 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_6, e1,
% 192.99/30.37 | | | | | | | | | | | | | | | | | | | | | e2, e1, simplifying with (162), (1092) gives:
% 192.99/30.37 | | | | | | | | | | | | | | | | | | | | | (1095) all_52_6 = e1
% 192.99/30.37 | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.37 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_9, e1,
% 192.99/30.37 | | | | | | | | | | | | | | | | | | | | | e1, e2, simplifying with (165), (1084) gives:
% 192.99/30.37 | | | | | | | | | | | | | | | | | | | | | (1096) all_52_9 = e1
% 192.99/30.37 | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.37 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1093), (1094) imply:
% 192.99/30.37 | | | | | | | | | | | | | | | | | | | | | (1097) all_46_1 = all_40_1
% 192.99/30.37 | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.37 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (250), (1093) imply:
% 192.99/30.37 | | | | | | | | | | | | | | | | | | | | | (1098) all_54_11 = all_40_1
% 192.99/30.37 | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.37 | | | | | | | | | | | | | | | | | | | | | REDUCE: (128), (1095) imply:
% 192.99/30.37 | | | | | | | | | | | | | | | | | | | | | (1099) ~ (all_52_7 = e1)
% 192.99/30.37 | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.37 | | | | | | | | | | | | | | | | | | | | | SIMP: (1099) implies:
% 192.99/30.37 | | | | | | | | | | | | | | | | | | | | | (1100) ~ (all_52_7 = e1)
% 192.99/30.37 | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.37 | | | | | | | | | | | | | | | | | | | | | REDUCE: (1021), (1095) imply:
% 192.99/30.37 | | | | | | | | | | | | | | | | | | | | | (1101) ~ (all_28_1 = e1)
% 192.99/30.37 | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.37 | | | | | | | | | | | | | | | | | | | | | REDUCE: (117), (1096) imply:
% 192.99/30.37 | | | | | | | | | | | | | | | | | | | | | (1102) ~ (all_52_13 = e1)
% 192.99/30.37 | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.37 | | | | | | | | | | | | | | | | | | | | | SIMP: (1102) implies:
% 192.99/30.37 | | | | | | | | | | | | | | | | | | | | | (1103) ~ (all_52_13 = e1)
% 192.99/30.37 | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.37 | | | | | | | | | | | | | | | | | | | | | REDUCE: (1054), (1096) imply:
% 192.99/30.37 | | | | | | | | | | | | | | | | | | | | | (1104) ~ (all_32_1 = e1)
% 192.99/30.37 | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.37 | | | | | | | | | | | | | | | | | | | | | SIMP: (1104) implies:
% 192.99/30.37 | | | | | | | | | | | | | | | | | | | | | (1105) ~ (all_32_1 = e1)
% 192.99/30.37 | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.37 | | | | | | | | | | | | | | | | | | | | | REDUCE: (112), (1093) imply:
% 192.99/30.37 | | | | | | | | | | | | | | | | | | | | | (1106) ~ (all_52_12 = all_40_1)
% 192.99/30.37 | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.38 | | | | | | | | | | | | | | | | | | | | | REDUCE: (110), (1093) imply:
% 192.99/30.38 | | | | | | | | | | | | | | | | | | | | | (1107) ~ (all_52_13 = all_40_1)
% 192.99/30.38 | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.38 | | | | | | | | | | | | | | | | | | | | | REDUCE: (1023), (1093) imply:
% 192.99/30.38 | | | | | | | | | | | | | | | | | | | | | (1108) ~ (all_40_1 = all_28_1)
% 192.99/30.38 | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.38 | | | | | | | | | | | | | | | | | | | | | REDUCE: (1069), (1093) imply:
% 192.99/30.38 | | | | | | | | | | | | | | | | | | | | | (1109) ~ (all_40_1 = e1)
% 192.99/30.38 | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.38 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (203) gives:
% 192.99/30.38 | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.38 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.99/30.38 | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.38 | | | | | | | | | | | | | | | | | | | | | | (1110) all_54_1 = e3
% 192.99/30.38 | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.38 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (272), (1110) imply:
% 192.99/30.38 | | | | | | | | | | | | | | | | | | | | | | (1111) all_52_4 = e3
% 192.99/30.38 | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.38 | | | | | | | | | | | | | | | | | | | | | | SIMP: (1111) implies:
% 192.99/30.38 | | | | | | | | | | | | | | | | | | | | | | (1112) all_52_4 = e3
% 192.99/30.38 | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.38 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (135), (1112) imply:
% 192.99/30.38 | | | | | | | | | | | | | | | | | | | | | | (1113) ~ (all_52_7 = e3)
% 192.99/30.38 | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.38 | | | | | | | | | | | | | | | | | | | | | | SIMP: (1113) implies:
% 192.99/30.38 | | | | | | | | | | | | | | | | | | | | | | (1114) ~ (all_52_7 = e3)
% 192.99/30.38 | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.38 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (133), (1112) imply:
% 192.99/30.38 | | | | | | | | | | | | | | | | | | | | | | (1115) ~ (all_52_12 = e3)
% 192.99/30.38 | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.38 | | | | | | | | | | | | | | | | | | | | | | SIMP: (1115) implies:
% 192.99/30.38 | | | | | | | | | | | | | | | | | | | | | | (1116) ~ (all_52_12 = e3)
% 192.99/30.38 | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.38 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (191) gives:
% 192.99/30.38 | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.38 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.99/30.38 | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.38 | | | | | | | | | | | | | | | | | | | | | | | (1117) all_54_13 = e3
% 192.99/30.38 | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.38 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (248), (1117) imply:
% 192.99/30.38 | | | | | | | | | | | | | | | | | | | | | | | (1118) all_52_7 = e3
% 192.99/30.38 | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.38 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1114), (1118) imply:
% 192.99/30.38 | | | | | | | | | | | | | | | | | | | | | | | (1119) $false
% 192.99/30.38 | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.38 | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1119) is inconsistent.
% 192.99/30.38 | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.38 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.99/30.38 | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.38 | | | | | | | | | | | | | | | | | | | | | | | (1120) all_54_13 = e2 | all_54_13 = e1 | all_54_13 = e0
% 192.99/30.38 | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.38 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (238) gives:
% 192.99/30.38 | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.38 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.99/30.38 | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.38 | | | | | | | | | | | | | | | | | | | | | | | | (1121) (all_57_3 = e3 & ~ (all_57_1 = e2) & ~ (all_57_8
% 192.99/30.38 | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_10 = e2) & ~ (all_57_12 =
% 192.99/30.38 | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_14 = e0) & op(e3, e3) =
% 192.99/30.38 | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e2) = e3 & op(e2, all_57_9) =
% 192.99/30.38 | | | | | | | | | | | | | | | | | | | | | | | | all_57_8 & op(e2, all_57_11) = all_57_10 &
% 192.99/30.38 | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_13) = all_57_12 & op(e2,
% 192.99/30.38 | | | | | | | | | | | | | | | | | | | | | | | | all_57_15) = all_57_14 & op(e2, e3) = all_57_9
% 192.99/30.38 | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = all_57_11 & op(e2, e1) =
% 192.99/30.38 | | | | | | | | | | | | | | | | | | | | | | | | all_57_13 & op(e2, e0) = all_57_15 &
% 192.99/30.38 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_8) & $i(all_57_9) &
% 192.99/30.38 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & $i(all_57_11) & $i(all_57_12) &
% 192.99/30.38 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13) & $i(all_57_14) & $i(all_57_15)) |
% 192.99/30.38 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_5 = e3 & ~ (all_57_1 = e1) & ~
% 192.99/30.38 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_16 = e3) & ~ (all_57_18 = e2) & ~
% 192.99/30.38 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_22 = e0) & op(e3,
% 192.99/30.38 | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_1 & op(e3, e1) = e3 & op(e1,
% 192.99/30.38 | | | | | | | | | | | | | | | | | | | | | | | | all_57_17) = all_57_16 & op(e1, all_57_19) =
% 192.99/30.38 | | | | | | | | | | | | | | | | | | | | | | | | all_57_18 & op(e1, all_57_21) = all_57_20 &
% 192.99/30.38 | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_23) = all_57_22 & op(e1, e3) =
% 192.99/30.38 | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e1, e2) = all_57_19 & op(e1, e1)
% 192.99/30.38 | | | | | | | | | | | | | | | | | | | | | | | | = all_57_21 & op(e1, e0) = all_57_23 &
% 192.99/30.38 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_16) & $i(all_57_17) &
% 192.99/30.38 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_19) & $i(all_57_20) &
% 192.99/30.38 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_22) & $i(all_57_23)) |
% 192.99/30.38 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_7 = e3 & ~ (all_57_1 = e0) & ~
% 192.99/30.38 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 192.99/30.38 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) & op(e3,
% 192.99/30.38 | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_1 & op(e3, e0) = e3 & op(e0,
% 192.99/30.38 | | | | | | | | | | | | | | | | | | | | | | | | all_57_25) = all_57_24 & op(e0, all_57_27) =
% 192.99/30.38 | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e0, all_57_29) = all_57_28 &
% 192.99/30.38 | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_31) = all_57_30 & op(e0, e3) =
% 192.99/30.38 | | | | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_27 & op(e0, e1)
% 192.99/30.38 | | | | | | | | | | | | | | | | | | | | | | | | = all_57_29 & op(e0, e0) = all_57_31 &
% 192.99/30.38 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_24) & $i(all_57_25) &
% 192.99/30.38 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_27) & $i(all_57_28) &
% 192.99/30.38 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29) & $i(all_57_30) & $i(all_57_31)) |
% 192.99/30.38 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e2 & ~ (all_57_0 = e3) & ~ (all_57_2
% 192.99/30.38 | | | | | | | | | | | | | | | | | | | | | | | | = e2) & ~ (all_57_4 = e1) & ~ (all_57_6 =
% 192.99/30.38 | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_11 = e3) & op(e3, all_57_1) =
% 192.99/30.38 | | | | | | | | | | | | | | | | | | | | | | | | all_57_0 & op(e3, all_57_3) = all_57_2 & op(e3,
% 192.99/30.38 | | | | | | | | | | | | | | | | | | | | | | | | all_57_5) = all_57_4 & op(e3, all_57_7) =
% 192.99/30.38 | | | | | | | | | | | | | | | | | | | | | | | | all_57_6 & op(e3, e3) = all_57_1 & op(e3, e2) =
% 192.99/30.38 | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 & op(e3, e1) = all_57_5 & op(e3, e0) =
% 192.99/30.38 | | | | | | | | | | | | | | | | | | | | | | | | all_57_7 & op(e2, e3) = e2 & op(e2, e2) =
% 192.99/30.38 | | | | | | | | | | | | | | | | | | | | | | | | all_57_11 & $i(all_57_0) & $i(all_57_1) &
% 192.99/30.38 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_2) & $i(all_57_3) & $i(all_57_4) &
% 192.99/30.38 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 192.99/30.38 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11))
% 192.99/30.38 | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.38 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1121) gives:
% 192.99/30.38 | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.38 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.99/30.38 | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.38 | | | | | | | | | | | | | | | | | | | | | | | | | (1122) (all_57_3 = e3 & ~ (all_57_1 = e2) & ~ (all_57_8
% 192.99/30.38 | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_10 = e2) & ~ (all_57_12 =
% 192.99/30.38 | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_14 = e0) & op(e3, e3) =
% 192.99/30.38 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e2) = e3 & op(e2, all_57_9) =
% 192.99/30.38 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_8 & op(e2, all_57_11) = all_57_10 &
% 192.99/30.38 | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_13) = all_57_12 & op(e2,
% 192.99/30.38 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15) = all_57_14 & op(e2, e3) = all_57_9
% 192.99/30.38 | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = all_57_11 & op(e2, e1) =
% 192.99/30.38 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_13 & op(e2, e0) = all_57_15 &
% 192.99/30.38 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_8) & $i(all_57_9) &
% 192.99/30.38 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & $i(all_57_11) & $i(all_57_12) &
% 192.99/30.38 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13) & $i(all_57_14) & $i(all_57_15)) |
% 192.99/30.38 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_5 = e3 & ~ (all_57_1 = e1) & ~
% 192.99/30.38 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_16 = e3) & ~ (all_57_18 = e2) & ~
% 192.99/30.38 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_22 = e0) & op(e3,
% 192.99/30.38 | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_1 & op(e3, e1) = e3 & op(e1,
% 192.99/30.38 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17) = all_57_16 & op(e1, all_57_19) =
% 192.99/30.38 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_18 & op(e1, all_57_21) = all_57_20 &
% 192.99/30.38 | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_23) = all_57_22 & op(e1, e3) =
% 192.99/30.38 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e1, e2) = all_57_19 & op(e1, e1)
% 192.99/30.38 | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_21 & op(e1, e0) = all_57_23 &
% 192.99/30.38 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_16) & $i(all_57_17) &
% 192.99/30.38 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_19) & $i(all_57_20) &
% 192.99/30.38 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_22) & $i(all_57_23))
% 192.99/30.38 | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.38 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (158), (162), (170), (227), (390), (391), (392),
% 192.99/30.38 | | | | | | | | | | | | | | | | | | | | | | | | | (1008), (1122), (function-axioms) are inconsistent
% 192.99/30.38 | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1753.
% 192.99/30.38 | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.38 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.99/30.38 | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.38 | | | | | | | | | | | | | | | | | | | | | | | | | (1123) (all_57_7 = e3 & ~ (all_57_1 = e0) & ~
% 192.99/30.38 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 192.99/30.38 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) & op(e3,
% 192.99/30.38 | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_1 & op(e3, e0) = e3 & op(e0,
% 192.99/30.38 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25) = all_57_24 & op(e0, all_57_27) =
% 192.99/30.38 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e0, all_57_29) = all_57_28 &
% 192.99/30.38 | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_31) = all_57_30 & op(e0, e3) =
% 192.99/30.38 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_27 & op(e0, e1)
% 192.99/30.38 | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_29 & op(e0, e0) = all_57_31 &
% 192.99/30.38 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_24) & $i(all_57_25) &
% 192.99/30.38 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_27) & $i(all_57_28) &
% 192.99/30.38 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29) & $i(all_57_30) & $i(all_57_31)) |
% 192.99/30.38 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e2 & ~ (all_57_0 = e3) & ~ (all_57_2
% 192.99/30.38 | | | | | | | | | | | | | | | | | | | | | | | | | = e2) & ~ (all_57_4 = e1) & ~ (all_57_6 =
% 192.99/30.38 | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_11 = e3) & op(e3, all_57_1) =
% 192.99/30.38 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_0 & op(e3, all_57_3) = all_57_2 & op(e3,
% 192.99/30.38 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_5) = all_57_4 & op(e3, all_57_7) =
% 192.99/30.38 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_6 & op(e3, e3) = all_57_1 & op(e3, e2) =
% 192.99/30.38 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 & op(e3, e1) = all_57_5 & op(e3, e0) =
% 192.99/30.38 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7 & op(e2, e3) = e2 & op(e2, e2) =
% 192.99/30.38 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_11 & $i(all_57_0) & $i(all_57_1) &
% 192.99/30.38 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_2) & $i(all_57_3) & $i(all_57_4) &
% 192.99/30.38 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 192.99/30.38 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11))
% 192.99/30.38 | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.38 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (167), (168), (389), (1116), (1123),
% 192.99/30.38 | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 192.99/30.38 | | | | | | | | | | | | | | | | | | | | | | | | | #1927.
% 192.99/30.38 | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.38 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.99/30.38 | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.38 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.99/30.38 | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.38 | | | | | | | | | | | | | | | | | | | | | | | | (1124) (all_57_13 = e2 & ~ (all_57_11 = e1) & ~
% 192.99/30.38 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_16 = e3) & ~ (all_57_18 = e2) & ~
% 192.99/30.38 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_22 = e0) & op(e2,
% 192.99/30.38 | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_11 & op(e2, e1) = e2 & op(e1,
% 192.99/30.38 | | | | | | | | | | | | | | | | | | | | | | | | all_57_17) = all_57_16 & op(e1, all_57_19) =
% 192.99/30.38 | | | | | | | | | | | | | | | | | | | | | | | | all_57_18 & op(e1, all_57_21) = all_57_20 &
% 192.99/30.38 | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_23) = all_57_22 & op(e1, e3) =
% 192.99/30.38 | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e1, e2) = all_57_19 & op(e1, e1)
% 192.99/30.38 | | | | | | | | | | | | | | | | | | | | | | | | = all_57_21 & op(e1, e0) = all_57_23 &
% 192.99/30.38 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_16) & $i(all_57_17) &
% 192.99/30.38 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_19) & $i(all_57_20) &
% 192.99/30.38 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_22) & $i(all_57_23)) |
% 192.99/30.38 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e2 & ~ (all_57_11 = e0) & ~
% 192.99/30.38 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 192.99/30.38 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) & op(e2,
% 192.99/30.38 | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_11 & op(e2, e0) = e2 & op(e0,
% 192.99/30.38 | | | | | | | | | | | | | | | | | | | | | | | | all_57_25) = all_57_24 & op(e0, all_57_27) =
% 192.99/30.38 | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e0, all_57_29) = all_57_28 &
% 192.99/30.38 | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_31) = all_57_30 & op(e0, e3) =
% 192.99/30.38 | | | | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_27 & op(e0, e1)
% 192.99/30.38 | | | | | | | | | | | | | | | | | | | | | | | | = all_57_29 & op(e0, e0) = all_57_31 &
% 192.99/30.38 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_24) & $i(all_57_25) &
% 192.99/30.38 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_27) & $i(all_57_28) &
% 192.99/30.38 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29) & $i(all_57_30) & $i(all_57_31)) |
% 192.99/30.38 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_17 = e1 & ~ (all_57_0 = e3) & ~
% 192.99/30.38 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e2) & ~ (all_57_4 = e1) & ~
% 192.99/30.38 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_6 = e0) & ~ (all_57_21 = e3) & op(e3,
% 192.99/30.38 | | | | | | | | | | | | | | | | | | | | | | | | all_57_1) = all_57_0 & op(e3, all_57_3) =
% 192.99/30.38 | | | | | | | | | | | | | | | | | | | | | | | | all_57_2 & op(e3, all_57_5) = all_57_4 & op(e3,
% 192.99/30.38 | | | | | | | | | | | | | | | | | | | | | | | | all_57_7) = all_57_6 & op(e3, e3) = all_57_1 &
% 192.99/30.38 | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_3 & op(e3, e1) = all_57_5 &
% 192.99/30.38 | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_7 & op(e1, e3) = e1 & op(e1,
% 192.99/30.38 | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_21 & $i(all_57_0) & $i(all_57_1)
% 192.99/30.38 | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_2) & $i(all_57_3) & $i(all_57_4) &
% 192.99/30.38 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 192.99/30.38 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21)) | (all_57_19 = e1 & ~ (all_57_8
% 192.99/30.38 | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_10 = e2) & ~ (all_57_12 =
% 192.99/30.38 | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_14 = e0) & ~ (all_57_21 =
% 192.99/30.38 | | | | | | | | | | | | | | | | | | | | | | | | e2) & op(e2, all_57_9) = all_57_8 & op(e2,
% 192.99/30.38 | | | | | | | | | | | | | | | | | | | | | | | | all_57_11) = all_57_10 & op(e2, all_57_13) =
% 192.99/30.38 | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & op(e2, all_57_15) = all_57_14 &
% 192.99/30.38 | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_9 & op(e2, e2) = all_57_11 &
% 192.99/30.38 | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_57_13 & op(e2, e0) = all_57_15
% 192.99/30.38 | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e1 & op(e1, e1) = all_57_21 &
% 192.99/30.38 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8) & $i(all_57_9) & $i(all_57_10) &
% 192.99/30.38 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_12) & $i(all_57_13) &
% 192.99/30.38 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & $i(all_57_15) & $i(all_57_21)) |
% 192.99/30.38 | | | | | | | | | | | | | | | | | | | | | | | | (op(e0, e0) = all_57_31 & $i(all_57_31) &
% 192.99/30.38 | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_23 = e1 & ~ (all_57_21 = e0) & ~
% 192.99/30.38 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 192.99/30.38 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) &
% 192.99/30.38 | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_21 & op(e1, e0) = e1 &
% 192.99/30.38 | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_25) = all_57_24 & op(e0,
% 192.99/30.38 | | | | | | | | | | | | | | | | | | | | | | | | all_57_27) = all_57_26 & op(e0, all_57_29)
% 192.99/30.38 | | | | | | | | | | | | | | | | | | | | | | | | = all_57_28 & op(e0, all_57_31) = all_57_30
% 192.99/30.38 | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e3) = all_57_25 & op(e0, e2) =
% 192.99/30.38 | | | | | | | | | | | | | | | | | | | | | | | | all_57_27 & op(e0, e1) = all_57_29 &
% 192.99/30.38 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_24) &
% 192.99/30.38 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_25) & $i(all_57_26) &
% 192.99/30.38 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27) & $i(all_57_28) &
% 192.99/30.38 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29) & $i(all_57_30)) | (all_57_25
% 192.99/30.38 | | | | | | | | | | | | | | | | | | | | | | | | = e0 & ~ (all_57_0 = e3) & ~ (all_57_2 =
% 192.99/30.38 | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_4 = e1) & ~ (all_57_6 =
% 192.99/30.38 | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_31 = e3) & op(e3,
% 192.99/30.38 | | | | | | | | | | | | | | | | | | | | | | | | all_57_1) = all_57_0 & op(e3, all_57_3) =
% 192.99/30.38 | | | | | | | | | | | | | | | | | | | | | | | | all_57_2 & op(e3, all_57_5) = all_57_4 &
% 192.99/30.38 | | | | | | | | | | | | | | | | | | | | | | | | op(e3, all_57_7) = all_57_6 & op(e3, e3) =
% 192.99/30.38 | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e2) = all_57_3 & op(e3,
% 192.99/30.38 | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_5 & op(e3, e0) = all_57_7 &
% 192.99/30.38 | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_0) &
% 192.99/30.38 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_2) & $i(all_57_3) &
% 192.99/30.38 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4) & $i(all_57_5) & $i(all_57_6) &
% 192.99/30.38 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7)) | (all_57_27 = e0 & ~
% 192.99/30.38 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e3) & ~ (all_57_10 = e2) & ~
% 192.99/30.38 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e1) & ~ (all_57_14 = e0) & ~
% 192.99/30.38 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e2) & op(e2, all_57_9) =
% 192.99/30.38 | | | | | | | | | | | | | | | | | | | | | | | | all_57_8 & op(e2, all_57_11) = all_57_10 &
% 192.99/30.38 | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_13) = all_57_12 & op(e2,
% 192.99/30.38 | | | | | | | | | | | | | | | | | | | | | | | | all_57_15) = all_57_14 & op(e2, e3) =
% 192.99/30.38 | | | | | | | | | | | | | | | | | | | | | | | | all_57_9 & op(e2, e2) = all_57_11 & op(e2,
% 192.99/30.38 | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_13 & op(e2, e0) = all_57_15 &
% 192.99/30.38 | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_8) &
% 192.99/30.38 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9) & $i(all_57_10) & $i(all_57_11)
% 192.99/30.38 | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_12) & $i(all_57_13) &
% 192.99/30.38 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & $i(all_57_15)) | (all_57_29
% 192.99/30.38 | | | | | | | | | | | | | | | | | | | | | | | | = e0 & ~ (all_57_16 = e3) & ~ (all_57_18 =
% 192.99/30.38 | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_20 = e1) & ~ (all_57_22
% 192.99/30.38 | | | | | | | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_31 = e1) & op(e1,
% 192.99/30.38 | | | | | | | | | | | | | | | | | | | | | | | | all_57_17) = all_57_16 & op(e1, all_57_19)
% 192.99/30.38 | | | | | | | | | | | | | | | | | | | | | | | | = all_57_18 & op(e1, all_57_21) = all_57_20
% 192.99/30.38 | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, all_57_23) = all_57_22 & op(e1, e3)
% 192.99/30.38 | | | | | | | | | | | | | | | | | | | | | | | | = all_57_17 & op(e1, e2) = all_57_19 &
% 192.99/30.38 | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_21 & op(e1, e0) =
% 192.99/30.38 | | | | | | | | | | | | | | | | | | | | | | | | all_57_23 & op(e0, e1) = e0 & $i(all_57_16)
% 192.99/30.38 | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_17) & $i(all_57_18) &
% 192.99/30.38 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_20) &
% 192.99/30.38 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_22) &
% 192.99/30.38 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23))))
% 192.99/30.38 | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.38 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1124) gives:
% 192.99/30.38 | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.38 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.99/30.38 | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.38 | | | | | | | | | | | | | | | | | | | | | | | | | (1125) (all_57_13 = e2 & ~ (all_57_11 = e1) & ~
% 192.99/30.38 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_16 = e3) & ~ (all_57_18 = e2) & ~
% 192.99/30.38 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_22 = e0) & op(e2,
% 192.99/30.38 | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_11 & op(e2, e1) = e2 & op(e1,
% 192.99/30.38 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17) = all_57_16 & op(e1, all_57_19) =
% 192.99/30.38 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_18 & op(e1, all_57_21) = all_57_20 &
% 192.99/30.38 | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_23) = all_57_22 & op(e1, e3) =
% 192.99/30.38 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e1, e2) = all_57_19 & op(e1, e1)
% 192.99/30.38 | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_21 & op(e1, e0) = all_57_23 &
% 192.99/30.38 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_16) & $i(all_57_17) &
% 192.99/30.38 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_19) & $i(all_57_20) &
% 192.99/30.38 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_22) & $i(all_57_23)) |
% 192.99/30.38 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e2 & ~ (all_57_11 = e0) & ~
% 192.99/30.38 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 192.99/30.38 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) & op(e2,
% 192.99/30.38 | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_11 & op(e2, e0) = e2 & op(e0,
% 192.99/30.38 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25) = all_57_24 & op(e0, all_57_27) =
% 192.99/30.38 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e0, all_57_29) = all_57_28 &
% 192.99/30.38 | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_31) = all_57_30 & op(e0, e3) =
% 192.99/30.38 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_27 & op(e0, e1)
% 192.99/30.38 | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_29 & op(e0, e0) = all_57_31 &
% 192.99/30.38 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_24) & $i(all_57_25) &
% 192.99/30.38 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_27) & $i(all_57_28) &
% 192.99/30.38 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29) & $i(all_57_30) & $i(all_57_31))
% 192.99/30.38 | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.38 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (165), (393), (394), (1125),
% 192.99/30.38 | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 192.99/30.38 | | | | | | | | | | | | | | | | | | | | | | | | | #1940.
% 192.99/30.38 | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.38 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.99/30.38 | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.39 | | | | | | | | | | | | | | | | | | | | | | | | | (1126) (all_57_17 = e1 & ~ (all_57_0 = e3) & ~
% 192.99/30.39 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e2) & ~ (all_57_4 = e1) & ~
% 192.99/30.39 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_6 = e0) & ~ (all_57_21 = e3) & op(e3,
% 192.99/30.39 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1) = all_57_0 & op(e3, all_57_3) =
% 192.99/30.39 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_2 & op(e3, all_57_5) = all_57_4 & op(e3,
% 192.99/30.39 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7) = all_57_6 & op(e3, e3) = all_57_1 &
% 192.99/30.39 | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_3 & op(e3, e1) = all_57_5 &
% 192.99/30.39 | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_7 & op(e1, e3) = e1 & op(e1,
% 192.99/30.39 | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_21 & $i(all_57_0) & $i(all_57_1)
% 192.99/30.39 | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_2) & $i(all_57_3) & $i(all_57_4) &
% 192.99/30.39 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 192.99/30.39 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21)) | (all_57_19 = e1 & ~ (all_57_8
% 192.99/30.39 | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_10 = e2) & ~ (all_57_12 =
% 192.99/30.39 | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_14 = e0) & ~ (all_57_21 =
% 192.99/30.39 | | | | | | | | | | | | | | | | | | | | | | | | | e2) & op(e2, all_57_9) = all_57_8 & op(e2,
% 192.99/30.39 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_11) = all_57_10 & op(e2, all_57_13) =
% 192.99/30.39 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & op(e2, all_57_15) = all_57_14 &
% 192.99/30.39 | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_9 & op(e2, e2) = all_57_11 &
% 192.99/30.39 | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_57_13 & op(e2, e0) = all_57_15
% 192.99/30.39 | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e1 & op(e1, e1) = all_57_21 &
% 192.99/30.39 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8) & $i(all_57_9) & $i(all_57_10) &
% 192.99/30.39 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_12) & $i(all_57_13) &
% 192.99/30.39 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & $i(all_57_15) & $i(all_57_21)) |
% 192.99/30.39 | | | | | | | | | | | | | | | | | | | | | | | | | (op(e0, e0) = all_57_31 & $i(all_57_31) &
% 192.99/30.39 | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_23 = e1 & ~ (all_57_21 = e0) & ~
% 192.99/30.39 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 192.99/30.39 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) &
% 192.99/30.39 | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_21 & op(e1, e0) = e1 &
% 192.99/30.39 | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_25) = all_57_24 & op(e0,
% 192.99/30.39 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27) = all_57_26 & op(e0, all_57_29)
% 192.99/30.39 | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_28 & op(e0, all_57_31) = all_57_30
% 192.99/30.39 | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e3) = all_57_25 & op(e0, e2) =
% 192.99/30.39 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27 & op(e0, e1) = all_57_29 &
% 192.99/30.39 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_24) &
% 192.99/30.39 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_25) & $i(all_57_26) &
% 192.99/30.39 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27) & $i(all_57_28) &
% 192.99/30.39 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29) & $i(all_57_30)) | (all_57_25
% 192.99/30.39 | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & ~ (all_57_0 = e3) & ~ (all_57_2 =
% 192.99/30.39 | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_4 = e1) & ~ (all_57_6 =
% 192.99/30.39 | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_31 = e3) & op(e3,
% 192.99/30.39 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1) = all_57_0 & op(e3, all_57_3) =
% 192.99/30.39 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_2 & op(e3, all_57_5) = all_57_4 &
% 192.99/30.39 | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, all_57_7) = all_57_6 & op(e3, e3) =
% 192.99/30.39 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e2) = all_57_3 & op(e3,
% 192.99/30.39 | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_5 & op(e3, e0) = all_57_7 &
% 192.99/30.39 | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_0) &
% 192.99/30.39 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_2) & $i(all_57_3) &
% 192.99/30.39 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4) & $i(all_57_5) & $i(all_57_6) &
% 192.99/30.39 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7)) | (all_57_27 = e0 & ~
% 192.99/30.39 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e3) & ~ (all_57_10 = e2) & ~
% 192.99/30.39 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e1) & ~ (all_57_14 = e0) & ~
% 192.99/30.39 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e2) & op(e2, all_57_9) =
% 192.99/30.39 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_8 & op(e2, all_57_11) = all_57_10 &
% 192.99/30.39 | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_13) = all_57_12 & op(e2,
% 192.99/30.39 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15) = all_57_14 & op(e2, e3) =
% 192.99/30.39 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_9 & op(e2, e2) = all_57_11 & op(e2,
% 192.99/30.39 | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_13 & op(e2, e0) = all_57_15 &
% 192.99/30.39 | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_8) &
% 192.99/30.39 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9) & $i(all_57_10) & $i(all_57_11)
% 192.99/30.39 | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_12) & $i(all_57_13) &
% 192.99/30.39 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & $i(all_57_15)) | (all_57_29
% 192.99/30.39 | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & ~ (all_57_16 = e3) & ~ (all_57_18 =
% 192.99/30.39 | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_20 = e1) & ~ (all_57_22
% 192.99/30.39 | | | | | | | | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_31 = e1) & op(e1,
% 192.99/30.39 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17) = all_57_16 & op(e1, all_57_19)
% 192.99/30.39 | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_18 & op(e1, all_57_21) = all_57_20
% 192.99/30.39 | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, all_57_23) = all_57_22 & op(e1, e3)
% 192.99/30.39 | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_17 & op(e1, e2) = all_57_19 &
% 192.99/30.39 | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_21 & op(e1, e0) =
% 192.99/30.39 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23 & op(e0, e1) = e0 & $i(all_57_16)
% 192.99/30.39 | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_17) & $i(all_57_18) &
% 192.99/30.39 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_20) &
% 192.99/30.39 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_22) &
% 192.99/30.39 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23))))
% 192.99/30.39 | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.39 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1126) gives:
% 192.99/30.39 | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.39 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.99/30.39 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.39 | | | | | | | | | | | | | | | | | | | | | | | | | | (1127) all_57_17 = e1 & ~ (all_57_0 = e3) & ~ (all_57_2
% 192.99/30.39 | | | | | | | | | | | | | | | | | | | | | | | | | | = e2) & ~ (all_57_4 = e1) & ~ (all_57_6 = e0)
% 192.99/30.39 | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_21 = e3) & op(e3, all_57_1) =
% 192.99/30.39 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_0 & op(e3, all_57_3) = all_57_2 & op(e3,
% 192.99/30.39 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_5) = all_57_4 & op(e3, all_57_7) =
% 192.99/30.39 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_6 & op(e3, e3) = all_57_1 & op(e3, e2) =
% 192.99/30.39 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 & op(e3, e1) = all_57_5 & op(e3, e0) =
% 192.99/30.39 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7 & op(e1, e3) = e1 & op(e1, e1) =
% 192.99/30.39 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_21 & $i(all_57_0) & $i(all_57_1) &
% 192.99/30.39 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_2) & $i(all_57_3) & $i(all_57_4) &
% 192.99/30.39 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 192.99/30.39 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21)
% 192.99/30.39 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.39 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1127) implies:
% 192.99/30.39 | | | | | | | | | | | | | | | | | | | | | | | | | | (1128) op(e1, e3) = e1
% 192.99/30.39 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.39 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (163), (1004), (1012), (1128), (function-axioms)
% 192.99/30.39 | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1750.
% 192.99/30.39 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.39 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.99/30.39 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.39 | | | | | | | | | | | | | | | | | | | | | | | | | | (1129) (all_57_19 = e1 & ~ (all_57_8 = e3) & ~
% 192.99/30.39 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e2) & ~ (all_57_12 = e1) & ~
% 192.99/30.39 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e0) & ~ (all_57_21 = e2) & op(e2,
% 192.99/30.39 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_9) = all_57_8 & op(e2, all_57_11) =
% 192.99/30.39 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e2, all_57_13) = all_57_12 &
% 192.99/30.39 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_15) = all_57_14 & op(e2, e3) =
% 192.99/30.39 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_9 & op(e2, e2) = all_57_11 & op(e2, e1) =
% 192.99/30.39 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_13 & op(e2, e0) = all_57_15 & op(e1, e2)
% 192.99/30.39 | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & op(e1, e1) = all_57_21 & $i(all_57_8) &
% 192.99/30.39 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9) & $i(all_57_10) & $i(all_57_11) &
% 192.99/30.39 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & $i(all_57_13) & $i(all_57_14) &
% 192.99/30.39 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & $i(all_57_21)) | (op(e0, e0) =
% 192.99/30.39 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_31 & $i(all_57_31) & ((all_57_23 = e1 &
% 192.99/30.39 | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_21 = e0) & ~ (all_57_24 = e3) &
% 192.99/30.39 | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_26 = e2) & ~ (all_57_28 = e1) &
% 192.99/30.39 | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_30 = e0) & op(e1, e1) = all_57_21
% 192.99/30.39 | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e0) = e1 & op(e0, all_57_25) =
% 192.99/30.39 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_24 & op(e0, all_57_27) = all_57_26 &
% 192.99/30.39 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_29) = all_57_28 & op(e0,
% 192.99/30.39 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_31) = all_57_30 & op(e0, e3) =
% 192.99/30.39 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_27 & op(e0,
% 192.99/30.39 | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_29 & $i(all_57_21) &
% 192.99/30.39 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_24) & $i(all_57_25) &
% 192.99/30.39 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_27) &
% 192.99/30.39 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28) & $i(all_57_29) &
% 192.99/30.39 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_25 = e0 & ~
% 192.99/30.39 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_0 = e3) & ~ (all_57_2 = e2) & ~
% 192.99/30.39 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1) & ~ (all_57_6 = e0) & ~
% 192.99/30.39 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e3) & op(e3, all_57_1) =
% 192.99/30.39 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_0 & op(e3, all_57_3) = all_57_2 &
% 192.99/30.39 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, all_57_5) = all_57_4 & op(e3,
% 192.99/30.39 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7) = all_57_6 & op(e3, e3) =
% 192.99/30.39 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e2) = all_57_3 & op(e3,
% 192.99/30.39 | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_5 & op(e3, e0) = all_57_7 &
% 192.99/30.39 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_0) &
% 192.99/30.39 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_2) & $i(all_57_3) &
% 192.99/30.39 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4) & $i(all_57_5) & $i(all_57_6) &
% 192.99/30.39 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7)) | (all_57_27 = e0 & ~
% 192.99/30.39 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e3) & ~ (all_57_10 = e2) & ~
% 192.99/30.39 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e1) & ~ (all_57_14 = e0) & ~
% 192.99/30.39 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e2) & op(e2, all_57_9) =
% 192.99/30.39 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_8 & op(e2, all_57_11) = all_57_10 &
% 192.99/30.39 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_13) = all_57_12 & op(e2,
% 192.99/30.39 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15) = all_57_14 & op(e2, e3) =
% 192.99/30.39 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_9 & op(e2, e2) = all_57_11 & op(e2,
% 192.99/30.39 | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_13 & op(e2, e0) = all_57_15 &
% 192.99/30.39 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_8) &
% 192.99/30.39 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9) & $i(all_57_10) & $i(all_57_11)
% 192.99/30.39 | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_12) & $i(all_57_13) &
% 192.99/30.39 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & $i(all_57_15)) | (all_57_29
% 192.99/30.39 | | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & ~ (all_57_16 = e3) & ~ (all_57_18 =
% 192.99/30.39 | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_20 = e1) & ~ (all_57_22
% 192.99/30.39 | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_31 = e1) & op(e1,
% 192.99/30.39 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17) = all_57_16 & op(e1, all_57_19)
% 192.99/30.39 | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_18 & op(e1, all_57_21) = all_57_20
% 192.99/30.39 | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, all_57_23) = all_57_22 & op(e1, e3)
% 192.99/30.39 | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_17 & op(e1, e2) = all_57_19 &
% 192.99/30.39 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_21 & op(e1, e0) =
% 192.99/30.39 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23 & op(e0, e1) = e0 & $i(all_57_16)
% 192.99/30.39 | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_17) & $i(all_57_18) &
% 192.99/30.39 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_20) &
% 192.99/30.39 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_22) &
% 192.99/30.39 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23))))
% 192.99/30.39 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.39 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1129) gives:
% 192.99/30.39 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.39 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.99/30.39 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1130) all_57_19 = e1 & ~ (all_57_8 = e3) & ~
% 192.99/30.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e2) & ~ (all_57_12 = e1) & ~
% 192.99/30.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e0) & ~ (all_57_21 = e2) & op(e2,
% 192.99/30.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_9) = all_57_8 & op(e2, all_57_11) =
% 192.99/30.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e2, all_57_13) = all_57_12 & op(e2,
% 192.99/30.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15) = all_57_14 & op(e2, e3) = all_57_9 &
% 192.99/30.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_11 & op(e2, e1) = all_57_13 &
% 192.99/30.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_15 & op(e1, e2) = e1 & op(e1,
% 192.99/30.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_21 & $i(all_57_8) & $i(all_57_9) &
% 192.99/30.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & $i(all_57_11) & $i(all_57_12) &
% 192.99/30.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13) & $i(all_57_14) & $i(all_57_15) &
% 192.99/30.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21)
% 192.99/30.39 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1130) implies:
% 192.99/30.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1131) ~ (all_57_10 = e2)
% 192.99/30.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1132) op(e2, e2) = all_57_11
% 192.99/30.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1133) op(e2, all_57_11) = all_57_10
% 192.99/30.39 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (158), (162), (170), (227), (390), (391), (392),
% 192.99/30.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1131), (1132), (1133), (function-axioms) are
% 192.99/30.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1967.
% 192.99/30.39 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.39 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.99/30.39 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1134) op(e0, e0) = all_57_31 & $i(all_57_31) &
% 192.99/30.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_23 = e1 & ~ (all_57_21 = e0) & ~
% 192.99/30.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 192.99/30.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) &
% 192.99/30.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_21 & op(e1, e0) = e1 &
% 192.99/30.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_25) = all_57_24 & op(e0,
% 192.99/30.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27) = all_57_26 & op(e0, all_57_29) =
% 192.99/30.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_28 & op(e0, all_57_31) = all_57_30 &
% 192.99/30.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_25 & op(e0, e2) =
% 192.99/30.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27 & op(e0, e1) = all_57_29 &
% 192.99/30.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_24) & $i(all_57_25)
% 192.99/30.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_26) & $i(all_57_27) &
% 192.99/30.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28) & $i(all_57_29) & $i(all_57_30))
% 192.99/30.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_25 = e0 & ~ (all_57_0 = e3) & ~
% 192.99/30.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e2) & ~ (all_57_4 = e1) & ~
% 192.99/30.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_6 = e0) & ~ (all_57_31 = e3) & op(e3,
% 192.99/30.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1) = all_57_0 & op(e3, all_57_3) =
% 192.99/30.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_2 & op(e3, all_57_5) = all_57_4 &
% 192.99/30.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, all_57_7) = all_57_6 & op(e3, e3) =
% 192.99/30.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e2) = all_57_3 & op(e3, e1)
% 192.99/30.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_5 & op(e3, e0) = all_57_7 & op(e0,
% 192.99/30.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e0 & $i(all_57_0) & $i(all_57_1) &
% 192.99/30.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_2) & $i(all_57_3) & $i(all_57_4) &
% 192.99/30.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_6) & $i(all_57_7)) |
% 192.99/30.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_27 = e0 & ~ (all_57_8 = e3) & ~
% 192.99/30.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e2) & ~ (all_57_12 = e1) & ~
% 192.99/30.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e0) & ~ (all_57_31 = e2) &
% 192.99/30.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_9) = all_57_8 & op(e2,
% 192.99/30.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_11) = all_57_10 & op(e2, all_57_13) =
% 192.99/30.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & op(e2, all_57_15) = all_57_14 &
% 192.99/30.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_9 & op(e2, e2) = all_57_11
% 192.99/30.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = all_57_13 & op(e2, e0) =
% 192.99/30.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15 & op(e0, e2) = e0 & $i(all_57_8) &
% 192.99/30.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9) & $i(all_57_10) & $i(all_57_11) &
% 192.99/30.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & $i(all_57_13) & $i(all_57_14)
% 192.99/30.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_15)) | (all_57_29 = e0 & ~
% 192.99/30.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_16 = e3) & ~ (all_57_18 = e2) & ~
% 192.99/30.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_22 = e0) & ~
% 192.99/30.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e1) & op(e1, all_57_17) =
% 192.99/30.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_16 & op(e1, all_57_19) = all_57_18 &
% 192.99/30.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_21) = all_57_20 & op(e1,
% 192.99/30.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23) = all_57_22 & op(e1, e3) =
% 192.99/30.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e1, e2) = all_57_19 & op(e1,
% 192.99/30.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_21 & op(e1, e0) = all_57_23 &
% 192.99/30.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_16) &
% 192.99/30.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_17) & $i(all_57_18) & $i(all_57_19)
% 192.99/30.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_20) & $i(all_57_21) &
% 192.99/30.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_23)))
% 192.99/30.39 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1134) implies:
% 192.99/30.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1135) op(e0, e0) = all_57_31
% 192.99/30.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1136) (all_57_23 = e1 & ~ (all_57_21 = e0) & ~
% 192.99/30.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 192.99/30.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) & op(e1,
% 192.99/30.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_21 & op(e1, e0) = e1 & op(e0,
% 192.99/30.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25) = all_57_24 & op(e0, all_57_27) =
% 192.99/30.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e0, all_57_29) = all_57_28 &
% 192.99/30.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_31) = all_57_30 & op(e0, e3) =
% 192.99/30.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_27 & op(e0, e1)
% 192.99/30.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_29 & $i(all_57_21) & $i(all_57_24) &
% 192.99/30.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_25) & $i(all_57_26) & $i(all_57_27) &
% 192.99/30.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28) & $i(all_57_29) & $i(all_57_30)) |
% 192.99/30.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_25 = e0 & ~ (all_57_0 = e3) & ~
% 192.99/30.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e2) & ~ (all_57_4 = e1) & ~
% 192.99/30.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_6 = e0) & ~ (all_57_31 = e3) & op(e3,
% 192.99/30.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1) = all_57_0 & op(e3, all_57_3) =
% 192.99/30.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_2 & op(e3, all_57_5) = all_57_4 & op(e3,
% 192.99/30.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7) = all_57_6 & op(e3, e3) = all_57_1 &
% 192.99/30.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_3 & op(e3, e1) = all_57_5 &
% 192.99/30.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_7 & op(e0, e3) = e0 &
% 192.99/30.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_0) & $i(all_57_1) & $i(all_57_2) &
% 192.99/30.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_3) & $i(all_57_4) & $i(all_57_5) &
% 192.99/30.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_6) & $i(all_57_7)) | (all_57_27 = e0 &
% 192.99/30.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_8 = e3) & ~ (all_57_10 = e2) & ~
% 192.99/30.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e1) & ~ (all_57_14 = e0) & ~
% 192.99/30.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e2) & op(e2, all_57_9) = all_57_8 &
% 192.99/30.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_11) = all_57_10 & op(e2,
% 192.99/30.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_13) = all_57_12 & op(e2, all_57_15) =
% 192.99/30.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_14 & op(e2, e3) = all_57_9 & op(e2, e2) =
% 192.99/30.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_11 & op(e2, e1) = all_57_13 & op(e2, e0)
% 192.99/30.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_15 & op(e0, e2) = e0 & $i(all_57_8) &
% 192.99/30.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9) & $i(all_57_10) & $i(all_57_11) &
% 192.99/30.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & $i(all_57_13) & $i(all_57_14) &
% 192.99/30.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15)) | (all_57_29 = e0 & ~ (all_57_16
% 192.99/30.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_18 = e2) & ~ (all_57_20 =
% 192.99/30.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_22 = e0) & ~ (all_57_31 =
% 192.99/30.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & op(e1, all_57_17) = all_57_16 & op(e1,
% 192.99/30.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_19) = all_57_18 & op(e1, all_57_21) =
% 192.99/30.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20 & op(e1, all_57_23) = all_57_22 &
% 192.99/30.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_17 & op(e1, e2) = all_57_19
% 192.99/30.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = all_57_21 & op(e1, e0) =
% 192.99/30.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23 & op(e0, e1) = e0 & $i(all_57_16) &
% 192.99/30.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_17) & $i(all_57_18) & $i(all_57_19) &
% 192.99/30.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_20) & $i(all_57_21) & $i(all_57_22) &
% 192.99/30.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23))
% 192.99/30.39 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1120) gives:
% 192.99/30.39 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.99/30.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1137) all_54_13 = e2
% 192.99/30.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (248), (1137) imply:
% 192.99/30.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1138) all_52_7 = e2
% 192.99/30.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (392), (1138) imply:
% 192.99/30.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1139) $false
% 192.99/30.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1139) is inconsistent.
% 192.99/30.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.99/30.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1140) ~ (all_54_13 = e2)
% 192.99/30.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1141) all_54_13 = e1 | all_54_13 = e0
% 192.99/30.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1141) gives:
% 192.99/30.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.99/30.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1142) all_54_13 = e1
% 192.99/30.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (248), (1142) imply:
% 192.99/30.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1143) all_52_7 = e1
% 192.99/30.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1100), (1143) imply:
% 192.99/30.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1144) $false
% 192.99/30.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1144) is inconsistent.
% 192.99/30.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.99/30.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1145) all_54_13 = e0
% 192.99/30.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (248), (1145) imply:
% 192.99/30.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1146) all_52_7 = e0
% 192.99/30.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (140), (1146) imply:
% 192.99/30.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1147) ~ (all_52_3 = e0)
% 192.99/30.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (45), (91), (157), (158), (159), (160), (162),
% 192.99/30.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (170), (189), (227), (246), (307), (361), (368),
% 192.99/30.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (371), (376), (390), (391), (392), (1027), (1135),
% 192.99/30.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1136), (1147), (function-axioms) are inconsistent
% 192.99/30.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1887.
% 192.99/30.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.99/30.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.99/30.39 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.39 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.99/30.39 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.39 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.99/30.39 | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.39 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.99/30.39 | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.39 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.99/30.39 | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.39 | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.99/30.39 | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.39 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.99/30.39 | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.39 | | | | | | | | | | | | | | | | | | | | | | (1148) ~ (all_54_1 = e3)
% 192.99/30.39 | | | | | | | | | | | | | | | | | | | | | | (1149) all_54_1 = e2 | all_54_1 = e1 | all_54_1 = e0
% 192.99/30.39 | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.39 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (272), (1148) imply:
% 192.99/30.39 | | | | | | | | | | | | | | | | | | | | | | (1150) ~ (all_52_4 = e3)
% 192.99/30.39 | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.39 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (228) gives:
% 192.99/30.39 | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.39 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.99/30.39 | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.39 | | | | | | | | | | | | | | | | | | | | | | | (1151) (all_56_1 = e3 & op(e3, e2) = e3) | (all_56_3 = e3
% 192.99/30.39 | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e3)
% 192.99/30.39 | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.39 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (170), (396), (1150), (1151),
% 192.99/30.39 | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 192.99/30.39 | | | | | | | | | | | | | | | | | | | | | | | #1828.
% 192.99/30.39 | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.39 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.99/30.39 | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.39 | | | | | | | | | | | | | | | | | | | | | | | (1152) (all_56_7 = e3 & op(e1, e2) = e3) | (all_56_13 =
% 192.99/30.39 | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e2) = e3)
% 192.99/30.39 | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.39 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1152) gives:
% 192.99/30.39 | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.39 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.99/30.39 | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.40 | | | | | | | | | | | | | | | | | | | | | | | | (1153) all_56_7 = e3 & op(e1, e2) = e3
% 192.99/30.40 | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.40 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1153) implies:
% 192.99/30.40 | | | | | | | | | | | | | | | | | | | | | | | | (1154) op(e1, e2) = e3
% 192.99/30.40 | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.40 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (162), (1092), (1154), (function-axioms) are
% 192.99/30.40 | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1733.
% 192.99/30.40 | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.40 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.99/30.40 | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.40 | | | | | | | | | | | | | | | | | | | | | | | | (1155) all_56_13 = e3 & op(e0, e2) = e3
% 192.99/30.40 | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.40 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1155) implies:
% 192.99/30.40 | | | | | | | | | | | | | | | | | | | | | | | | (1156) all_56_13 = e3
% 192.99/30.40 | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.40 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1149) gives:
% 192.99/30.40 | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.40 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.99/30.40 | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.40 | | | | | | | | | | | | | | | | | | | | | | | | | (1157) all_54_1 = e2
% 192.99/30.40 | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.40 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (272), (1157) imply:
% 192.99/30.40 | | | | | | | | | | | | | | | | | | | | | | | | | (1158) all_52_4 = e2
% 192.99/30.40 | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.40 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (390), (1158) imply:
% 192.99/30.40 | | | | | | | | | | | | | | | | | | | | | | | | | (1159) $false
% 192.99/30.40 | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.40 | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1159) is inconsistent.
% 192.99/30.40 | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.40 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.99/30.40 | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.40 | | | | | | | | | | | | | | | | | | | | | | | | | (1160) ~ (all_54_1 = e2)
% 192.99/30.40 | | | | | | | | | | | | | | | | | | | | | | | | | (1161) all_54_1 = e1 | all_54_1 = e0
% 192.99/30.40 | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.40 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1161) gives:
% 192.99/30.40 | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.40 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.99/30.40 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.40 | | | | | | | | | | | | | | | | | | | | | | | | | | (1162) all_54_1 = e1
% 192.99/30.40 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.40 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (272), (1162) imply:
% 192.99/30.40 | | | | | | | | | | | | | | | | | | | | | | | | | | (1163) all_52_4 = e1
% 192.99/30.40 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.40 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1006), (1163) imply:
% 192.99/30.40 | | | | | | | | | | | | | | | | | | | | | | | | | | (1164) $false
% 192.99/30.40 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.40 | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1164) is inconsistent.
% 192.99/30.40 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.40 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.99/30.40 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.40 | | | | | | | | | | | | | | | | | | | | | | | | | | (1165) all_54_1 = e0
% 192.99/30.40 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.40 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (272), (1165) imply:
% 192.99/30.40 | | | | | | | | | | | | | | | | | | | | | | | | | | (1166) all_52_4 = e0
% 192.99/30.40 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.40 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (135), (1166) imply:
% 192.99/30.40 | | | | | | | | | | | | | | | | | | | | | | | | | | (1167) ~ (all_52_7 = e0)
% 192.99/30.40 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.40 | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1167) implies:
% 192.99/30.40 | | | | | | | | | | | | | | | | | | | | | | | | | | (1168) ~ (all_52_7 = e0)
% 192.99/30.40 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.40 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (133), (1166) imply:
% 192.99/30.40 | | | | | | | | | | | | | | | | | | | | | | | | | | (1169) ~ (all_52_12 = e0)
% 192.99/30.40 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.40 | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1169) implies:
% 192.99/30.40 | | | | | | | | | | | | | | | | | | | | | | | | | | (1170) ~ (all_52_12 = e0)
% 192.99/30.40 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.40 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1052), (1166) imply:
% 192.99/30.40 | | | | | | | | | | | | | | | | | | | | | | | | | | (1171) ~ (all_32_1 = e0)
% 192.99/30.40 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.40 | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1171) implies:
% 192.99/30.40 | | | | | | | | | | | | | | | | | | | | | | | | | | (1172) ~ (all_32_1 = e0)
% 192.99/30.40 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.40 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1150), (1166) imply:
% 192.99/30.40 | | | | | | | | | | | | | | | | | | | | | | | | | | (1173) ~ (e3 = e0)
% 192.99/30.40 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.40 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (390), (1166) imply:
% 192.99/30.40 | | | | | | | | | | | | | | | | | | | | | | | | | | (1174) ~ (e2 = e0)
% 192.99/30.40 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.40 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1006), (1166) imply:
% 192.99/30.40 | | | | | | | | | | | | | | | | | | | | | | | | | | (1175) ~ (e1 = e0)
% 192.99/30.40 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.40 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (202) gives:
% 192.99/30.40 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.40 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.99/30.40 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1176) all_54_2 = e3
% 192.99/30.40 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1051), (1176) imply:
% 192.99/30.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1177) all_32_1 = e3
% 192.99/30.40 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1059), (1177) imply:
% 192.99/30.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1178) $false
% 192.99/30.40 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1178) is inconsistent.
% 192.99/30.40 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.40 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.99/30.40 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1179) ~ (all_54_2 = e3)
% 192.99/30.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1180) all_54_2 = e2 | all_54_2 = e1 | all_54_2 = e0
% 192.99/30.40 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (230) gives:
% 192.99/30.40 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.99/30.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1181) (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_1 = e0
% 192.99/30.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e0)
% 192.99/30.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1181) gives:
% 192.99/30.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.99/30.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1182) all_56_0 = e0 & op(e3, e3) = e0
% 192.99/30.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1182) implies:
% 192.99/30.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1183) op(e3, e3) = e0
% 192.99/30.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (1008), (1183), (function-axioms) are
% 192.99/30.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1834.
% 192.99/30.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.99/30.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1184) all_56_1 = e0 & op(e3, e2) = e0
% 192.99/30.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1184) implies:
% 192.99/30.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1185) all_56_1 = e0
% 192.99/30.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (235) gives:
% 192.99/30.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.99/30.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1186) (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_2 = e3
% 192.99/30.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e3)
% 192.99/30.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1186) gives:
% 192.99/30.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.99/30.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1187) all_56_0 = e3 & op(e3, e3) = e3
% 192.99/30.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1187) implies:
% 192.99/30.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1188) op(e3, e3) = e3
% 192.99/30.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (1008), (1188), (function-axioms) are
% 192.99/30.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1924.
% 192.99/30.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.99/30.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1189) all_56_2 = e3 & op(e2, e3) = e3
% 192.99/30.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1189) implies:
% 192.99/30.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1190) all_56_2 = e3
% 192.99/30.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1191) op(e2, e3) = e3
% 192.99/30.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1180) gives:
% 192.99/30.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.99/30.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1192) all_54_2 = e2
% 192.99/30.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1051), (1192) imply:
% 192.99/30.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1193) all_32_1 = e2
% 192.99/30.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1056), (1193) imply:
% 192.99/30.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1194) ~ (all_52_11 = e2)
% 192.99/30.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1058), (1193) imply:
% 192.99/30.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1195) ~ (all_52_12 = e2)
% 192.99/30.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (236) gives:
% 192.99/30.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.99/30.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1196) (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_1 = e3
% 192.99/30.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e3)
% 192.99/30.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1196) gives:
% 192.99/30.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.99/30.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1197) all_56_0 = e3 & op(e3, e3) = e3
% 192.99/30.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1197) implies:
% 192.99/30.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1198) op(e3, e3) = e3
% 192.99/30.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (1008), (1198), (function-axioms) are
% 192.99/30.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1924.
% 192.99/30.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.99/30.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1199) all_56_1 = e3 & op(e3, e2) = e3
% 192.99/30.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1199) implies:
% 192.99/30.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1200) all_56_1 = e3
% 192.99/30.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (158), (225), (396), (1091),
% 192.99/30.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1168), (1200), (function-axioms) are inconsistent
% 192.99/30.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1728.
% 192.99/30.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.99/30.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.99/30.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1201) (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_9 = e3
% 192.99/30.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e3)
% 192.99/30.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1201) gives:
% 192.99/30.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.99/30.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1202) all_56_4 = e3 & op(e3, e1) = e3
% 192.99/30.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1202) implies:
% 192.99/30.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1203) op(e3, e1) = e3
% 192.99/30.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (169), (1037), (1203), (function-axioms) are
% 192.99/30.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1930.
% 192.99/30.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.99/30.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1204) all_56_9 = e3 & op(e3, e0) = e3
% 192.99/30.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1204) implies:
% 192.99/30.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1205) all_56_9 = e3
% 192.99/30.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (208) gives:
% 192.99/30.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.99/30.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1206) (all_56_12 = e2 & op(e0, e3) = e2) | (all_56_13 =
% 192.99/30.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e2)
% 192.99/30.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1206) gives:
% 192.99/30.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.99/30.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1207) all_56_12 = e2 & op(e0, e3) = e2
% 192.99/30.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1207) implies:
% 192.99/30.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1208) all_56_12 = e2
% 192.99/30.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1209) op(e0, e3) = e2
% 192.99/30.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (201) gives:
% 192.99/30.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.99/30.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1210) all_54_3 = e3
% 192.99/30.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (270), (1210) imply:
% 192.99/30.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1211) all_52_12 = e3
% 192.99/30.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1211) implies:
% 192.99/30.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1212) all_52_12 = e3
% 192.99/30.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (113), (1212) imply:
% 192.99/30.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1213) ~ (all_52_13 = e3)
% 192.99/30.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1213) implies:
% 192.99/30.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1214) ~ (all_52_13 = e3)
% 192.99/30.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1106), (1212) imply:
% 192.99/30.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1215) ~ (all_40_1 = e3)
% 192.99/30.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1215) implies:
% 192.99/30.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1216) ~ (all_40_1 = e3)
% 192.99/30.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (168), (1212) imply:
% 192.99/30.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1217) op(e3, e0) = e3
% 192.99/30.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (197) gives:
% 192.99/30.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.99/30.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1218) all_54_7 = e3
% 192.99/30.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (260), (1214), (1218) are inconsistent by
% 192.99/30.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1727.
% 192.99/30.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.99/30.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1219) all_54_7 = e2 | all_54_7 = e1 | all_54_7 = e0
% 192.99/30.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (229) gives:
% 192.99/30.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.99/30.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1220) (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0
% 192.99/30.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e0)
% 192.99/30.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1220) gives:
% 192.99/30.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.99/30.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1221) all_56_0 = e0 & op(e3, e3) = e0
% 192.99/30.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1221) implies:
% 192.99/30.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1222) op(e3, e3) = e0
% 192.99/30.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (232) gives:
% 192.99/30.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.99/30.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1223) (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_1 = e1
% 192.99/30.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e1)
% 192.99/30.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (1185), (1222), (1223), (function-axioms) are
% 192.99/30.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1812.
% 192.99/30.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.99/30.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1224) (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_9 = e1
% 192.99/30.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e1)
% 192.99/30.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1224) gives:
% 192.99/30.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.99/30.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1225) all_56_4 = e1 & op(e3, e1) = e1
% 192.99/30.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1225) implies:
% 192.99/30.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1226) all_56_4 = e1
% 192.99/30.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (211) gives:
% 192.99/30.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.99/30.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1227) (all_56_9 = e2 & op(e3, e0) = e2) | (all_56_10 =
% 192.99/30.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2)
% 192.99/30.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (164), (394), (1217), (1227),
% 192.99/30.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 192.99/30.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1725.
% 192.99/30.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.99/30.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1228) (all_56_11 = e2 & op(e1, e0) = e2) | (all_56_15 =
% 192.99/30.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = e2)
% 192.99/30.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1228) gives:
% 192.99/30.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.99/30.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1229) all_56_11 = e2 & op(e1, e0) = e2
% 192.99/30.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1229) implies:
% 192.99/30.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1230) all_56_11 = e2
% 192.99/30.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1231) op(e1, e0) = e2
% 192.99/30.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (219) gives:
% 192.99/30.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.99/30.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1232) (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2
% 192.99/30.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e2)
% 192.99/30.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1232) gives:
% 192.99/30.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.99/30.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1233) all_56_4 = e2 & op(e3, e1) = e2
% 192.99/30.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1233) implies:
% 192.99/30.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1234) all_56_4 = e2
% 192.99/30.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (1226), (1234) are inconsistent by sub-proof
% 192.99/30.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1724.
% 192.99/30.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.99/30.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1235) all_56_5 = e2 & op(e2, e1) = e2
% 192.99/30.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1235) implies:
% 192.99/30.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1236) op(e2, e1) = e2
% 192.99/30.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (393), (1236), (function-axioms) are
% 192.99/30.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1942.
% 192.99/30.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.99/30.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.99/30.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1237) (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 =
% 192.99/30.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e1) = e2)
% 192.99/30.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1237) gives:
% 192.99/30.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.99/30.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1238) all_56_8 = e2 & op(e1, e1) = e2
% 192.99/30.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1238) implies:
% 192.99/30.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1239) all_56_8 = e2
% 192.99/30.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1240) op(e1, e1) = e2
% 192.99/30.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (162), (213), (214),
% 192.99/30.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (216), (1036), (1230), (1239), (1240),
% 192.99/30.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 192.99/30.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1715.
% 192.99/30.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.99/30.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1241) all_56_14 = e2 & op(e0, e1) = e2
% 192.99/30.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1241) implies:
% 192.99/30.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1242) all_56_14 = e2
% 192.99/30.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1243) op(e0, e1) = e2
% 192.99/30.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (234) gives:
% 192.99/30.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.99/30.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1244) (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_1 = e2
% 192.99/30.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e2)
% 192.99/30.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1244) gives:
% 192.99/30.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.99/30.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1245) all_56_0 = e2 & op(e3, e3) = e2
% 192.99/30.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1245) implies:
% 192.99/30.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1246) all_56_0 = e2
% 192.99/30.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1247) op(e3, e3) = e2
% 192.99/30.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (9), (36), (45), (79), (91), (112),
% 192.99/30.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (113), (118), (125), (126), (133), (157), (158),
% 192.99/30.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (159), (160), (162), (164), (165), (167), (168),
% 192.99/30.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (169), (170), (189), (194), (201), (206), (207),
% 192.99/30.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (208), (209), (211), (212), (217), (222), (223),
% 192.99/30.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (224), (225), (226), (227), (228), (229), (230),
% 192.99/30.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (231), (232), (234), (236), (238), (239), (246),
% 192.99/30.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (270), (301), (307), (335), (350), (360), (361),
% 192.99/30.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (362), (363), (367), (369), (371), (372), (376),
% 192.99/30.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (389), (390), (396), (1230), (1231), (1242),
% 192.99/30.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1243), (1246), (1247), (function-axioms) are
% 192.99/30.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1615.
% 192.99/30.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.99/30.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1248) all_56_1 = e2 & op(e3, e2) = e2
% 192.99/30.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1248) implies:
% 192.99/30.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1249) op(e3, e2) = e2
% 192.99/30.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (170), (390), (1249), (function-axioms) are
% 192.99/30.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1972.
% 192.99/30.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.99/30.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.99/30.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1250) (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_9 = e2
% 192.99/30.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e2)
% 192.99/30.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1250) gives:
% 192.99/30.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.99/30.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1251) all_56_4 = e2 & op(e3, e1) = e2
% 192.99/30.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1251) implies:
% 192.99/30.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1252) all_56_4 = e2
% 192.99/30.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (1226), (1252) are inconsistent by sub-proof
% 192.99/30.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1724.
% 192.99/30.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.99/30.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1253) all_56_9 = e2 & op(e3, e0) = e2
% 192.99/30.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1253) implies:
% 192.99/30.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1254) op(e3, e0) = e2
% 192.99/30.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (1217), (1254), (function-axioms) are
% 192.99/30.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1726.
% 192.99/30.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.99/30.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.99/30.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.99/30.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.99/30.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.99/30.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1255) all_56_15 = e2 & op(e0, e0) = e2
% 192.99/30.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (45), (1027), (1255), (function-axioms) are
% 192.99/30.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1614.
% 192.99/30.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.99/30.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.99/30.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.99/30.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1256) all_56_9 = e1 & op(e3, e0) = e1
% 192.99/30.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (1205), (1256) are inconsistent by sub-proof
% 192.99/30.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1815.
% 192.99/30.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.99/30.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.99/30.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.99/30.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1257) all_56_2 = e0 & op(e2, e3) = e0
% 192.99/30.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (1190), (1257) are inconsistent by sub-proof
% 192.99/30.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1694.
% 192.99/30.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.99/30.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.99/30.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1258) (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 =
% 192.99/30.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e3) = e0)
% 192.99/30.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1258) gives:
% 192.99/30.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.99/30.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1259) all_56_6 = e0 & op(e1, e3) = e0
% 192.99/30.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1259) implies:
% 192.99/30.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1260) all_56_6 = e0
% 192.99/30.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (217) gives:
% 192.99/30.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.99/30.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1261) (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_5 = e0
% 192.99/30.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e0)
% 192.99/30.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1261) gives:
% 192.99/30.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.99/30.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1262) all_56_4 = e0 & op(e3, e1) = e0
% 192.99/30.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (1032), (1172), (1262), (function-axioms) are
% 192.99/30.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1613.
% 192.99/30.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.99/30.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1263) all_56_5 = e0 & op(e2, e1) = e0
% 192.99/30.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1263) implies:
% 192.99/30.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1264) all_56_5 = e0
% 192.99/30.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1083), (1264) imply:
% 192.99/30.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1265) e1 = e0
% 192.99/30.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1265) implies:
% 192.99/30.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1266) e1 = e0
% 192.99/30.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1091), (1266) imply:
% 192.99/30.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1267) all_56_7 = e0
% 192.99/30.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (8), (226), (396), (1156), (1185),
% 192.99/30.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1267), (function-axioms) are inconsistent by
% 192.99/30.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1771.
% 192.99/30.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.99/30.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.99/30.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1268) (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_14 =
% 192.99/30.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0)
% 192.99/30.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1268) gives:
% 192.99/30.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.99/30.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1269) all_56_8 = e0 & op(e1, e1) = e0
% 192.99/30.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1269) implies:
% 192.99/30.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1270) op(e1, e1) = e0
% 192.99/30.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (1042), (1270), (function-axioms) are
% 192.99/30.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1918.
% 192.99/30.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.99/30.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1271) all_56_14 = e0 & op(e0, e1) = e0
% 192.99/30.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1271) implies:
% 192.99/30.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1272) op(e0, e1) = e0
% 192.99/30.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1219) gives:
% 192.99/30.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.99/30.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1273) all_54_7 = e2
% 192.99/30.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (260), (394), (1273) are inconsistent by sub-proof
% 192.99/30.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1612.
% 192.99/30.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.99/30.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1274) all_54_7 = e1 | all_54_7 = e0
% 192.99/30.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1274) gives:
% 192.99/30.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.99/30.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1275) all_54_7 = e1
% 192.99/30.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (260), (1103), (1275) are inconsistent by
% 192.99/30.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1611.
% 192.99/30.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.99/30.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1276) all_54_7 = e0
% 192.99/30.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (260), (1276) imply:
% 192.99/30.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1277) all_52_13 = e0
% 192.99/30.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1277) implies:
% 192.99/30.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1278) all_52_13 = e0
% 192.99/30.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1107), (1278) imply:
% 192.99/30.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1279) ~ (all_40_1 = e0)
% 192.99/30.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1279) implies:
% 192.99/30.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1280) ~ (all_40_1 = e0)
% 192.99/30.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (164), (1278) imply:
% 192.99/30.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1281) op(e2, e0) = e0
% 192.99/30.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (193) gives:
% 192.99/30.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.99/30.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1282) all_54_11 = e3
% 192.99/30.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (1098), (1216), (1282) are inconsistent by
% 192.99/30.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1610.
% 192.99/30.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.99/30.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1283) ~ (all_54_11 = e3)
% 192.99/30.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1284) all_54_11 = e2 | all_54_11 = e1 | all_54_11 = e0
% 192.99/30.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1284) gives:
% 192.99/30.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.99/30.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1285) all_54_11 = e2
% 192.99/30.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1098), (1285) imply:
% 192.99/30.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1286) all_40_1 = e2
% 192.99/30.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1286) implies:
% 192.99/30.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1287) all_40_1 = e2
% 192.99/30.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1108), (1287) imply:
% 192.99/30.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1288) ~ (all_28_1 = e2)
% 192.99/30.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 192.99/30.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1288) implies:
% 193.39/30.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1289) ~ (all_28_1 = e2)
% 193.39/30.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.39/30.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (196) gives:
% 193.39/30.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.39/30.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 193.39/30.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.39/30.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1290) all_54_8 = e3
% 193.39/30.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.39/30.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (1017), (1041), (1290) are inconsistent by
% 193.39/30.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1609.
% 193.39/30.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.39/30.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 193.39/30.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.39/30.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1291) ~ (all_54_8 = e3)
% 193.39/30.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1292) all_54_8 = e2 | all_54_8 = e1 | all_54_8 = e0
% 193.39/30.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.39/30.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1292) gives:
% 193.39/30.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.39/30.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 193.39/30.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.39/30.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1293) all_54_8 = e2
% 193.39/30.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.39/30.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (1017), (1289), (1293) are inconsistent by
% 193.39/30.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1608.
% 193.39/30.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.39/30.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 193.39/30.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.39/30.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1294) ~ (all_54_8 = e2)
% 193.39/30.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1295) all_54_8 = e1 | all_54_8 = e0
% 193.39/30.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.39/30.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1295) gives:
% 193.39/30.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.39/30.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 193.39/30.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.39/30.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1296) all_54_8 = e1
% 193.39/30.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.39/30.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (1017), (1025), (1296) are inconsistent by
% 193.39/30.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1607.
% 193.39/30.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.39/30.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 193.39/30.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.39/30.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1297) all_54_8 = e0
% 193.39/30.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.39/30.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1017), (1297) imply:
% 193.39/30.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1298) all_28_1 = e0
% 193.39/30.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.39/30.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1298) implies:
% 193.39/30.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1299) all_28_1 = e0
% 193.39/30.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.39/30.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1019), (1299) imply:
% 193.39/30.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1300) ~ (all_52_3 = e0)
% 193.39/30.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.39/30.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (238) gives:
% 193.39/30.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.39/30.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 193.39/30.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.39/30.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1301) (all_57_3 = e3 & ~ (all_57_1 = e2) & ~ (all_57_8
% 193.39/30.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_10 = e2) & ~ (all_57_12 =
% 193.39/30.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_14 = e0) & op(e3, e3) =
% 193.39/30.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e2) = e3 & op(e2, all_57_9) =
% 193.39/30.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_8 & op(e2, all_57_11) = all_57_10 &
% 193.39/30.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_13) = all_57_12 & op(e2,
% 193.39/30.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15) = all_57_14 & op(e2, e3) = all_57_9
% 193.39/30.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = all_57_11 & op(e2, e1) =
% 193.39/30.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_13 & op(e2, e0) = all_57_15 &
% 193.39/30.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_8) & $i(all_57_9) &
% 193.39/30.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & $i(all_57_11) & $i(all_57_12) &
% 193.39/30.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13) & $i(all_57_14) & $i(all_57_15)) |
% 193.39/30.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_5 = e3 & ~ (all_57_1 = e1) & ~
% 193.39/30.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_16 = e3) & ~ (all_57_18 = e2) & ~
% 193.39/30.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_22 = e0) & op(e3,
% 193.39/30.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_1 & op(e3, e1) = e3 & op(e1,
% 193.39/30.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17) = all_57_16 & op(e1, all_57_19) =
% 193.39/30.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_18 & op(e1, all_57_21) = all_57_20 &
% 193.39/30.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_23) = all_57_22 & op(e1, e3) =
% 193.39/30.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e1, e2) = all_57_19 & op(e1, e1)
% 193.39/30.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_21 & op(e1, e0) = all_57_23 &
% 193.39/30.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_16) & $i(all_57_17) &
% 193.39/30.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_19) & $i(all_57_20) &
% 193.39/30.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_22) & $i(all_57_23)) |
% 193.39/30.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_7 = e3 & ~ (all_57_1 = e0) & ~
% 193.39/30.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 193.39/30.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) & op(e3,
% 193.39/30.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_1 & op(e3, e0) = e3 & op(e0,
% 193.39/30.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25) = all_57_24 & op(e0, all_57_27) =
% 193.39/30.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e0, all_57_29) = all_57_28 &
% 193.39/30.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_31) = all_57_30 & op(e0, e3) =
% 193.39/30.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_27 & op(e0, e1)
% 193.39/30.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_29 & op(e0, e0) = all_57_31 &
% 193.39/30.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_24) & $i(all_57_25) &
% 193.39/30.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_27) & $i(all_57_28) &
% 193.39/30.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29) & $i(all_57_30) & $i(all_57_31)) |
% 193.39/30.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e2 & ~ (all_57_0 = e3) & ~ (all_57_2
% 193.39/30.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2) & ~ (all_57_4 = e1) & ~ (all_57_6 =
% 193.39/30.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_11 = e3) & op(e3, all_57_1) =
% 193.39/30.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_0 & op(e3, all_57_3) = all_57_2 & op(e3,
% 193.39/30.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_5) = all_57_4 & op(e3, all_57_7) =
% 193.39/30.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_6 & op(e3, e3) = all_57_1 & op(e3, e2) =
% 193.39/30.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 & op(e3, e1) = all_57_5 & op(e3, e0) =
% 193.39/30.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7 & op(e2, e3) = e2 & op(e2, e2) =
% 193.39/30.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_11 & $i(all_57_0) & $i(all_57_1) &
% 193.39/30.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_2) & $i(all_57_3) & $i(all_57_4) &
% 193.39/30.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 193.39/30.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11))
% 193.39/30.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.39/30.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1301) gives:
% 193.39/30.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.39/30.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 193.39/30.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.39/30.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1302) (all_57_3 = e3 & ~ (all_57_1 = e2) & ~ (all_57_8
% 193.39/30.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_10 = e2) & ~ (all_57_12 =
% 193.39/30.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_14 = e0) & op(e3, e3) =
% 193.39/30.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e2) = e3 & op(e2, all_57_9) =
% 193.39/30.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_8 & op(e2, all_57_11) = all_57_10 &
% 193.39/30.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_13) = all_57_12 & op(e2,
% 193.39/30.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15) = all_57_14 & op(e2, e3) = all_57_9
% 193.39/30.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = all_57_11 & op(e2, e1) =
% 193.39/30.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_13 & op(e2, e0) = all_57_15 &
% 193.39/30.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_8) & $i(all_57_9) &
% 193.39/30.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & $i(all_57_11) & $i(all_57_12) &
% 193.39/30.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13) & $i(all_57_14) & $i(all_57_15)) |
% 193.39/30.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_5 = e3 & ~ (all_57_1 = e1) & ~
% 193.39/30.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_16 = e3) & ~ (all_57_18 = e2) & ~
% 193.39/30.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_22 = e0) & op(e3,
% 193.39/30.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_1 & op(e3, e1) = e3 & op(e1,
% 193.39/30.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17) = all_57_16 & op(e1, all_57_19) =
% 193.39/30.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_18 & op(e1, all_57_21) = all_57_20 &
% 193.39/30.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_23) = all_57_22 & op(e1, e3) =
% 193.39/30.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e1, e2) = all_57_19 & op(e1, e1)
% 193.39/30.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_21 & op(e1, e0) = all_57_23 &
% 193.39/30.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_16) & $i(all_57_17) &
% 193.39/30.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_19) & $i(all_57_20) &
% 193.39/30.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_22) & $i(all_57_23))
% 193.39/30.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.39/30.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (170), (1008), (1150), (1302), (function-axioms)
% 193.39/30.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1606.
% 193.39/30.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.39/30.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 193.39/30.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.39/30.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1303) (all_57_7 = e3 & ~ (all_57_1 = e0) & ~
% 193.39/30.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 193.39/30.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) & op(e3,
% 193.39/30.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_1 & op(e3, e0) = e3 & op(e0,
% 193.39/30.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25) = all_57_24 & op(e0, all_57_27) =
% 193.39/30.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e0, all_57_29) = all_57_28 &
% 193.39/30.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_31) = all_57_30 & op(e0, e3) =
% 193.39/30.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_27 & op(e0, e1)
% 193.39/30.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_29 & op(e0, e0) = all_57_31 &
% 193.39/30.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_24) & $i(all_57_25) &
% 193.39/30.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_27) & $i(all_57_28) &
% 193.39/30.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29) & $i(all_57_30) & $i(all_57_31)) |
% 193.39/30.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e2 & ~ (all_57_0 = e3) & ~ (all_57_2
% 193.39/30.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2) & ~ (all_57_4 = e1) & ~ (all_57_6 =
% 193.39/30.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_11 = e3) & op(e3, all_57_1) =
% 193.39/30.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_0 & op(e3, all_57_3) = all_57_2 & op(e3,
% 193.39/30.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_5) = all_57_4 & op(e3, all_57_7) =
% 193.39/30.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_6 & op(e3, e3) = all_57_1 & op(e3, e2) =
% 193.39/30.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 & op(e3, e1) = all_57_5 & op(e3, e0) =
% 193.39/30.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7 & op(e2, e3) = e2 & op(e2, e2) =
% 193.39/30.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_11 & $i(all_57_0) & $i(all_57_1) &
% 193.39/30.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_2) & $i(all_57_3) & $i(all_57_4) &
% 193.39/30.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 193.39/30.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11))
% 193.39/30.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.39/30.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1303) gives:
% 193.39/30.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.39/30.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 193.39/30.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.39/30.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1304) all_57_7 = e3 & ~ (all_57_1 = e0) & ~ (all_57_24
% 193.39/30.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_26 = e2) & ~ (all_57_28 =
% 193.39/30.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_30 = e0) & op(e3, e3) =
% 193.39/30.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e0) = e3 & op(e0, all_57_25) =
% 193.39/30.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_24 & op(e0, all_57_27) = all_57_26 & op(e0,
% 193.39/30.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_29) = all_57_28 & op(e0, all_57_31) =
% 193.39/30.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30 & op(e0, e3) = all_57_25 & op(e0, e2) =
% 193.39/30.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27 & op(e0, e1) = all_57_29 & op(e0, e0) =
% 193.39/30.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_31 & $i(all_57_1) & $i(all_57_24) &
% 193.39/30.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_25) & $i(all_57_26) & $i(all_57_27) &
% 193.39/30.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28) & $i(all_57_29) & $i(all_57_30) &
% 193.39/30.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_31)
% 193.39/30.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.39/30.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1304) implies:
% 193.39/30.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1305) ~ (all_57_30 = e0)
% 193.39/30.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1306) op(e0, e0) = all_57_31
% 193.39/30.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1307) op(e0, e1) = all_57_29
% 193.39/30.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1308) op(e0, all_57_31) = all_57_30
% 193.39/30.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.39/30.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (1071), (1272), (1305), (1306), (1307), (1308),
% 193.39/30.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 193.39/30.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1912.
% 193.39/30.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.39/30.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 193.39/30.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.39/30.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1309) all_57_9 = e2 & ~ (all_57_0 = e3) & ~ (all_57_2
% 193.39/30.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2) & ~ (all_57_4 = e1) & ~ (all_57_6 = e0)
% 193.39/30.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_11 = e3) & op(e3, all_57_1) =
% 193.39/30.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_0 & op(e3, all_57_3) = all_57_2 & op(e3,
% 193.39/30.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_5) = all_57_4 & op(e3, all_57_7) =
% 193.39/30.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_6 & op(e3, e3) = all_57_1 & op(e3, e2) =
% 193.39/30.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 & op(e3, e1) = all_57_5 & op(e3, e0) =
% 193.39/30.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7 & op(e2, e3) = e2 & op(e2, e2) =
% 193.39/30.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_11 & $i(all_57_0) & $i(all_57_1) &
% 193.39/30.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_2) & $i(all_57_3) & $i(all_57_4) &
% 193.39/30.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 193.39/30.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11)
% 193.39/30.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.39/30.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1309) implies:
% 193.39/30.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1310) op(e2, e3) = e2
% 193.39/30.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.39/30.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8), (9), (235), (1008), (1208), (1260),
% 193.39/30.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1310), (function-axioms) are inconsistent by
% 193.39/30.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1602.
% 193.39/30.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.39/30.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 193.39/30.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.39/30.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 193.39/30.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.39/30.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 193.39/30.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.39/30.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1311) (all_57_13 = e2 & ~ (all_57_11 = e1) & ~
% 193.39/30.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_16 = e3) & ~ (all_57_18 = e2) & ~
% 193.39/30.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_22 = e0) & op(e2,
% 193.39/30.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_11 & op(e2, e1) = e2 & op(e1,
% 193.39/30.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17) = all_57_16 & op(e1, all_57_19) =
% 193.39/30.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_18 & op(e1, all_57_21) = all_57_20 &
% 193.39/30.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_23) = all_57_22 & op(e1, e3) =
% 193.39/30.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e1, e2) = all_57_19 & op(e1, e1)
% 193.39/30.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_21 & op(e1, e0) = all_57_23 &
% 193.39/30.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_16) & $i(all_57_17) &
% 193.39/30.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_19) & $i(all_57_20) &
% 193.39/30.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_22) & $i(all_57_23)) |
% 193.39/30.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e2 & ~ (all_57_11 = e0) & ~
% 193.39/30.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 193.39/30.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) & op(e2,
% 193.39/30.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_11 & op(e2, e0) = e2 & op(e0,
% 193.39/30.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25) = all_57_24 & op(e0, all_57_27) =
% 193.39/30.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e0, all_57_29) = all_57_28 &
% 193.39/30.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_31) = all_57_30 & op(e0, e3) =
% 193.39/30.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_27 & op(e0, e1)
% 193.39/30.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_29 & op(e0, e0) = all_57_31 &
% 193.39/30.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_24) & $i(all_57_25) &
% 193.39/30.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_27) & $i(all_57_28) &
% 193.39/30.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29) & $i(all_57_30) & $i(all_57_31)) |
% 193.39/30.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_17 = e1 & ~ (all_57_0 = e3) & ~
% 193.39/30.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e2) & ~ (all_57_4 = e1) & ~
% 193.39/30.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_6 = e0) & ~ (all_57_21 = e3) & op(e3,
% 193.39/30.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1) = all_57_0 & op(e3, all_57_3) =
% 193.39/30.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_2 & op(e3, all_57_5) = all_57_4 & op(e3,
% 193.39/30.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7) = all_57_6 & op(e3, e3) = all_57_1 &
% 193.39/30.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_3 & op(e3, e1) = all_57_5 &
% 193.39/30.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_7 & op(e1, e3) = e1 & op(e1,
% 193.39/30.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_21 & $i(all_57_0) & $i(all_57_1)
% 193.39/30.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_2) & $i(all_57_3) & $i(all_57_4) &
% 193.39/30.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 193.39/30.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21)) | (all_57_19 = e1 & ~ (all_57_8
% 193.39/30.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_10 = e2) & ~ (all_57_12 =
% 193.39/30.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_14 = e0) & ~ (all_57_21 =
% 193.39/30.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & op(e2, all_57_9) = all_57_8 & op(e2,
% 193.39/30.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_11) = all_57_10 & op(e2, all_57_13) =
% 193.39/30.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & op(e2, all_57_15) = all_57_14 &
% 193.39/30.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_9 & op(e2, e2) = all_57_11 &
% 193.39/30.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_57_13 & op(e2, e0) = all_57_15
% 193.39/30.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e1 & op(e1, e1) = all_57_21 &
% 193.39/30.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8) & $i(all_57_9) & $i(all_57_10) &
% 193.39/30.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_12) & $i(all_57_13) &
% 193.39/30.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & $i(all_57_15) & $i(all_57_21)) |
% 193.39/30.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (op(e0, e0) = all_57_31 & $i(all_57_31) &
% 193.39/30.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_23 = e1 & ~ (all_57_21 = e0) & ~
% 193.39/30.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 193.39/30.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) &
% 193.39/30.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_21 & op(e1, e0) = e1 &
% 193.39/30.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_25) = all_57_24 & op(e0,
% 193.39/30.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27) = all_57_26 & op(e0, all_57_29)
% 193.39/30.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_28 & op(e0, all_57_31) = all_57_30
% 193.39/30.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e3) = all_57_25 & op(e0, e2) =
% 193.39/30.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27 & op(e0, e1) = all_57_29 &
% 193.39/30.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_24) &
% 193.39/30.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_25) & $i(all_57_26) &
% 193.39/30.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27) & $i(all_57_28) &
% 193.39/30.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29) & $i(all_57_30)) | (all_57_25
% 193.39/30.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & ~ (all_57_0 = e3) & ~ (all_57_2 =
% 193.39/30.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_4 = e1) & ~ (all_57_6 =
% 193.39/30.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_31 = e3) & op(e3,
% 193.39/30.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1) = all_57_0 & op(e3, all_57_3) =
% 193.39/30.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_2 & op(e3, all_57_5) = all_57_4 &
% 193.39/30.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, all_57_7) = all_57_6 & op(e3, e3) =
% 193.39/30.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e2) = all_57_3 & op(e3,
% 193.39/30.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_5 & op(e3, e0) = all_57_7 &
% 193.39/30.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_0) &
% 193.39/30.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_2) & $i(all_57_3) &
% 193.39/30.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4) & $i(all_57_5) & $i(all_57_6) &
% 193.39/30.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7)) | (all_57_27 = e0 & ~
% 193.39/30.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e3) & ~ (all_57_10 = e2) & ~
% 193.39/30.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e1) & ~ (all_57_14 = e0) & ~
% 193.39/30.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e2) & op(e2, all_57_9) =
% 193.39/30.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_8 & op(e2, all_57_11) = all_57_10 &
% 193.39/30.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_13) = all_57_12 & op(e2,
% 193.39/30.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15) = all_57_14 & op(e2, e3) =
% 193.39/30.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_9 & op(e2, e2) = all_57_11 & op(e2,
% 193.39/30.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_13 & op(e2, e0) = all_57_15 &
% 193.39/30.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_8) &
% 193.39/30.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9) & $i(all_57_10) & $i(all_57_11)
% 193.39/30.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_12) & $i(all_57_13) &
% 193.39/30.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & $i(all_57_15)) | (all_57_29
% 193.39/30.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & ~ (all_57_16 = e3) & ~ (all_57_18 =
% 193.39/30.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_20 = e1) & ~ (all_57_22
% 193.39/30.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_31 = e1) & op(e1,
% 193.39/30.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17) = all_57_16 & op(e1, all_57_19)
% 193.39/30.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_18 & op(e1, all_57_21) = all_57_20
% 193.39/30.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, all_57_23) = all_57_22 & op(e1, e3)
% 193.39/30.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_17 & op(e1, e2) = all_57_19 &
% 193.39/30.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_21 & op(e1, e0) =
% 193.39/30.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23 & op(e0, e1) = e0 & $i(all_57_16)
% 193.39/30.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_17) & $i(all_57_18) &
% 193.39/30.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_20) &
% 193.39/30.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_22) &
% 193.39/30.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23))))
% 193.39/30.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.39/30.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1311) gives:
% 193.39/30.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.39/30.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 193.39/30.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.39/30.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1312) (all_57_13 = e2 & ~ (all_57_11 = e1) & ~
% 193.39/30.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_16 = e3) & ~ (all_57_18 = e2) & ~
% 193.39/30.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_22 = e0) & op(e2,
% 193.39/30.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_11 & op(e2, e1) = e2 & op(e1,
% 193.39/30.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17) = all_57_16 & op(e1, all_57_19) =
% 193.39/30.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_18 & op(e1, all_57_21) = all_57_20 &
% 193.39/30.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_23) = all_57_22 & op(e1, e3) =
% 193.39/30.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e1, e2) = all_57_19 & op(e1, e1)
% 193.39/30.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_21 & op(e1, e0) = all_57_23 &
% 193.39/30.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_16) & $i(all_57_17) &
% 193.39/30.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_19) & $i(all_57_20) &
% 193.39/30.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_22) & $i(all_57_23)) |
% 193.39/30.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e2 & ~ (all_57_11 = e0) & ~
% 193.39/30.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 193.39/30.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) & op(e2,
% 193.39/30.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_11 & op(e2, e0) = e2 & op(e0,
% 193.39/30.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25) = all_57_24 & op(e0, all_57_27) =
% 193.39/30.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e0, all_57_29) = all_57_28 &
% 193.39/30.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_31) = all_57_30 & op(e0, e3) =
% 193.39/30.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_27 & op(e0, e1)
% 193.39/30.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_29 & op(e0, e0) = all_57_31 &
% 193.39/30.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_24) & $i(all_57_25) &
% 193.39/30.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_27) & $i(all_57_28) &
% 193.39/30.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29) & $i(all_57_30) & $i(all_57_31))
% 193.39/30.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.39/30.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (165), (393), (1281), (1312),
% 193.39/30.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 193.39/30.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1600.
% 193.39/30.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.39/30.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 193.39/30.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.39/30.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1313) (all_57_17 = e1 & ~ (all_57_0 = e3) & ~
% 193.39/30.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e2) & ~ (all_57_4 = e1) & ~
% 193.39/30.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_6 = e0) & ~ (all_57_21 = e3) & op(e3,
% 193.39/30.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1) = all_57_0 & op(e3, all_57_3) =
% 193.39/30.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_2 & op(e3, all_57_5) = all_57_4 & op(e3,
% 193.39/30.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7) = all_57_6 & op(e3, e3) = all_57_1 &
% 193.39/30.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_3 & op(e3, e1) = all_57_5 &
% 193.39/30.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_7 & op(e1, e3) = e1 & op(e1,
% 193.39/30.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_21 & $i(all_57_0) & $i(all_57_1)
% 193.39/30.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_2) & $i(all_57_3) & $i(all_57_4) &
% 193.39/30.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 193.39/30.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21)) | (all_57_19 = e1 & ~ (all_57_8
% 193.39/30.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_10 = e2) & ~ (all_57_12 =
% 193.39/30.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_14 = e0) & ~ (all_57_21 =
% 193.39/30.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & op(e2, all_57_9) = all_57_8 & op(e2,
% 193.39/30.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_11) = all_57_10 & op(e2, all_57_13) =
% 193.39/30.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & op(e2, all_57_15) = all_57_14 &
% 193.39/30.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_9 & op(e2, e2) = all_57_11 &
% 193.39/30.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_57_13 & op(e2, e0) = all_57_15
% 193.39/30.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e1 & op(e1, e1) = all_57_21 &
% 193.39/30.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8) & $i(all_57_9) & $i(all_57_10) &
% 193.39/30.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_12) & $i(all_57_13) &
% 193.39/30.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & $i(all_57_15) & $i(all_57_21)) |
% 193.39/30.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (op(e0, e0) = all_57_31 & $i(all_57_31) &
% 193.39/30.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_23 = e1 & ~ (all_57_21 = e0) & ~
% 193.39/30.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 193.39/30.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) &
% 193.39/30.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_21 & op(e1, e0) = e1 &
% 193.39/30.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_25) = all_57_24 & op(e0,
% 193.39/30.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27) = all_57_26 & op(e0, all_57_29)
% 193.39/30.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_28 & op(e0, all_57_31) = all_57_30
% 193.39/30.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e3) = all_57_25 & op(e0, e2) =
% 193.39/30.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27 & op(e0, e1) = all_57_29 &
% 193.39/30.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_24) &
% 193.39/30.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_25) & $i(all_57_26) &
% 193.39/30.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27) & $i(all_57_28) &
% 193.39/30.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29) & $i(all_57_30)) | (all_57_25
% 193.39/30.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & ~ (all_57_0 = e3) & ~ (all_57_2 =
% 193.39/30.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_4 = e1) & ~ (all_57_6 =
% 193.39/30.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_31 = e3) & op(e3,
% 193.39/30.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1) = all_57_0 & op(e3, all_57_3) =
% 193.39/30.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_2 & op(e3, all_57_5) = all_57_4 &
% 193.39/30.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, all_57_7) = all_57_6 & op(e3, e3) =
% 193.39/30.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e2) = all_57_3 & op(e3,
% 193.39/30.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_5 & op(e3, e0) = all_57_7 &
% 193.39/30.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_0) &
% 193.39/30.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_2) & $i(all_57_3) &
% 193.39/30.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4) & $i(all_57_5) & $i(all_57_6) &
% 193.39/30.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7)) | (all_57_27 = e0 & ~
% 193.39/30.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e3) & ~ (all_57_10 = e2) & ~
% 193.39/30.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e1) & ~ (all_57_14 = e0) & ~
% 193.39/30.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e2) & op(e2, all_57_9) =
% 193.39/30.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_8 & op(e2, all_57_11) = all_57_10 &
% 193.39/30.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_13) = all_57_12 & op(e2,
% 193.39/30.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15) = all_57_14 & op(e2, e3) =
% 193.39/30.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_9 & op(e2, e2) = all_57_11 & op(e2,
% 193.39/30.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_13 & op(e2, e0) = all_57_15 &
% 193.39/30.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_8) &
% 193.39/30.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9) & $i(all_57_10) & $i(all_57_11)
% 193.39/30.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_12) & $i(all_57_13) &
% 193.39/30.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & $i(all_57_15)) | (all_57_29
% 193.39/30.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & ~ (all_57_16 = e3) & ~ (all_57_18 =
% 193.39/30.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_20 = e1) & ~ (all_57_22
% 193.39/30.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_31 = e1) & op(e1,
% 193.39/30.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17) = all_57_16 & op(e1, all_57_19)
% 193.39/30.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_18 & op(e1, all_57_21) = all_57_20
% 193.39/30.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, all_57_23) = all_57_22 & op(e1, e3)
% 193.39/30.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_17 & op(e1, e2) = all_57_19 &
% 193.39/30.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_21 & op(e1, e0) =
% 193.39/30.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23 & op(e0, e1) = e0 & $i(all_57_16)
% 193.39/30.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_17) & $i(all_57_18) &
% 193.39/30.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_20) &
% 193.39/30.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_22) &
% 193.39/30.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23))))
% 193.39/30.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.39/30.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1313) gives:
% 193.39/30.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.39/30.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 193.39/30.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.39/30.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1314) all_57_17 = e1 & ~ (all_57_0 = e3) & ~ (all_57_2
% 193.39/30.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2) & ~ (all_57_4 = e1) & ~ (all_57_6 = e0)
% 193.39/30.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_21 = e3) & op(e3, all_57_1) =
% 193.39/30.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_0 & op(e3, all_57_3) = all_57_2 & op(e3,
% 193.39/30.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_5) = all_57_4 & op(e3, all_57_7) =
% 193.39/30.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_6 & op(e3, e3) = all_57_1 & op(e3, e2) =
% 193.39/30.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 & op(e3, e1) = all_57_5 & op(e3, e0) =
% 193.39/30.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7 & op(e1, e3) = e1 & op(e1, e1) =
% 193.39/30.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_21 & $i(all_57_0) & $i(all_57_1) &
% 193.39/30.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_2) & $i(all_57_3) & $i(all_57_4) &
% 193.39/30.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 193.39/30.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21)
% 193.39/30.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.39/30.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1314) implies:
% 193.39/30.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1315) op(e1, e3) = e1
% 193.39/30.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.39/30.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (163), (1004), (1012), (1315), (function-axioms)
% 193.39/30.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1750.
% 193.39/30.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.39/30.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 193.39/30.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.39/30.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1316) (all_57_19 = e1 & ~ (all_57_8 = e3) & ~
% 193.39/30.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e2) & ~ (all_57_12 = e1) & ~
% 193.39/30.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e0) & ~ (all_57_21 = e2) & op(e2,
% 193.39/30.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_9) = all_57_8 & op(e2, all_57_11) =
% 193.39/30.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e2, all_57_13) = all_57_12 &
% 193.39/30.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_15) = all_57_14 & op(e2, e3) =
% 193.39/30.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_9 & op(e2, e2) = all_57_11 & op(e2, e1) =
% 193.39/30.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_13 & op(e2, e0) = all_57_15 & op(e1, e2)
% 193.39/30.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & op(e1, e1) = all_57_21 & $i(all_57_8) &
% 193.39/30.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9) & $i(all_57_10) & $i(all_57_11) &
% 193.39/30.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & $i(all_57_13) & $i(all_57_14) &
% 193.39/30.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & $i(all_57_21)) | (op(e0, e0) =
% 193.39/30.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_31 & $i(all_57_31) & ((all_57_23 = e1 &
% 193.39/30.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_21 = e0) & ~ (all_57_24 = e3) &
% 193.39/30.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_26 = e2) & ~ (all_57_28 = e1) &
% 193.39/30.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_30 = e0) & op(e1, e1) = all_57_21
% 193.39/30.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e0) = e1 & op(e0, all_57_25) =
% 193.39/30.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_24 & op(e0, all_57_27) = all_57_26 &
% 193.39/30.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_29) = all_57_28 & op(e0,
% 193.39/30.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_31) = all_57_30 & op(e0, e3) =
% 193.39/30.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_27 & op(e0,
% 193.39/30.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_29 & $i(all_57_21) &
% 193.39/30.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_24) & $i(all_57_25) &
% 193.39/30.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_27) &
% 193.39/30.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28) & $i(all_57_29) &
% 193.39/30.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_25 = e0 & ~
% 193.39/30.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_0 = e3) & ~ (all_57_2 = e2) & ~
% 193.39/30.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1) & ~ (all_57_6 = e0) & ~
% 193.39/30.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e3) & op(e3, all_57_1) =
% 193.39/30.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_0 & op(e3, all_57_3) = all_57_2 &
% 193.39/30.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, all_57_5) = all_57_4 & op(e3,
% 193.39/30.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7) = all_57_6 & op(e3, e3) =
% 193.39/30.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e2) = all_57_3 & op(e3,
% 193.39/30.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_5 & op(e3, e0) = all_57_7 &
% 193.39/30.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_0) &
% 193.39/30.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_2) & $i(all_57_3) &
% 193.39/30.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4) & $i(all_57_5) & $i(all_57_6) &
% 193.39/30.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7)) | (all_57_27 = e0 & ~
% 193.39/30.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e3) & ~ (all_57_10 = e2) & ~
% 193.39/30.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e1) & ~ (all_57_14 = e0) & ~
% 193.39/30.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e2) & op(e2, all_57_9) =
% 193.39/30.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_8 & op(e2, all_57_11) = all_57_10 &
% 193.39/30.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_13) = all_57_12 & op(e2,
% 193.39/30.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15) = all_57_14 & op(e2, e3) =
% 193.39/30.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_9 & op(e2, e2) = all_57_11 & op(e2,
% 193.39/30.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_13 & op(e2, e0) = all_57_15 &
% 193.39/30.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_8) &
% 193.39/30.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9) & $i(all_57_10) & $i(all_57_11)
% 193.39/30.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_12) & $i(all_57_13) &
% 193.39/30.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & $i(all_57_15)) | (all_57_29
% 193.39/30.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & ~ (all_57_16 = e3) & ~ (all_57_18 =
% 193.39/30.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_20 = e1) & ~ (all_57_22
% 193.39/30.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_31 = e1) & op(e1,
% 193.39/30.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17) = all_57_16 & op(e1, all_57_19)
% 193.39/30.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_18 & op(e1, all_57_21) = all_57_20
% 193.39/30.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, all_57_23) = all_57_22 & op(e1, e3)
% 193.39/30.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_17 & op(e1, e2) = all_57_19 &
% 193.39/30.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_21 & op(e1, e0) =
% 193.39/30.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23 & op(e0, e1) = e0 & $i(all_57_16)
% 193.39/30.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_17) & $i(all_57_18) &
% 193.39/30.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_20) &
% 193.39/30.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_22) &
% 193.39/30.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23))))
% 193.39/30.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.39/30.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1316) gives:
% 193.39/30.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.39/30.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 193.39/30.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.39/30.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1317) all_57_19 = e1 & ~ (all_57_8 = e3) & ~
% 193.39/30.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e2) & ~ (all_57_12 = e1) & ~
% 193.39/30.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e0) & ~ (all_57_21 = e2) & op(e2,
% 193.39/30.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_9) = all_57_8 & op(e2, all_57_11) =
% 193.39/30.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e2, all_57_13) = all_57_12 & op(e2,
% 193.39/30.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15) = all_57_14 & op(e2, e3) = all_57_9 &
% 193.39/30.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_11 & op(e2, e1) = all_57_13 &
% 193.39/30.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_15 & op(e1, e2) = e1 & op(e1,
% 193.39/30.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_21 & $i(all_57_8) & $i(all_57_9) &
% 193.39/30.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & $i(all_57_11) & $i(all_57_12) &
% 193.39/30.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13) & $i(all_57_14) & $i(all_57_15) &
% 193.39/30.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21)
% 193.39/30.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.39/30.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1317) implies:
% 193.39/30.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1318) ~ (all_57_8 = e3)
% 193.39/30.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1319) op(e2, e3) = all_57_9
% 193.39/30.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1320) op(e2, all_57_9) = all_57_8
% 193.39/30.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.39/30.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (1191), (1318), (1319), (1320), (function-axioms)
% 193.39/30.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1830.
% 193.39/30.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.39/30.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 193.39/30.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.39/30.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1321) op(e0, e0) = all_57_31 & $i(all_57_31) &
% 193.39/30.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_23 = e1 & ~ (all_57_21 = e0) & ~
% 193.39/30.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 193.39/30.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) &
% 193.39/30.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_21 & op(e1, e0) = e1 &
% 193.39/30.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_25) = all_57_24 & op(e0,
% 193.39/30.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27) = all_57_26 & op(e0, all_57_29) =
% 193.39/30.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_28 & op(e0, all_57_31) = all_57_30 &
% 193.39/30.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_25 & op(e0, e2) =
% 193.39/30.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27 & op(e0, e1) = all_57_29 &
% 193.39/30.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_24) & $i(all_57_25)
% 193.39/30.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_26) & $i(all_57_27) &
% 193.39/30.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28) & $i(all_57_29) & $i(all_57_30))
% 193.39/30.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_25 = e0 & ~ (all_57_0 = e3) & ~
% 193.39/30.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e2) & ~ (all_57_4 = e1) & ~
% 193.39/30.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_6 = e0) & ~ (all_57_31 = e3) & op(e3,
% 193.39/30.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1) = all_57_0 & op(e3, all_57_3) =
% 193.39/30.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_2 & op(e3, all_57_5) = all_57_4 &
% 193.39/30.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, all_57_7) = all_57_6 & op(e3, e3) =
% 193.39/30.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e2) = all_57_3 & op(e3, e1)
% 193.39/30.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_5 & op(e3, e0) = all_57_7 & op(e0,
% 193.39/30.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e0 & $i(all_57_0) & $i(all_57_1) &
% 193.39/30.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_2) & $i(all_57_3) & $i(all_57_4) &
% 193.39/30.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_6) & $i(all_57_7)) |
% 193.39/30.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_27 = e0 & ~ (all_57_8 = e3) & ~
% 193.39/30.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e2) & ~ (all_57_12 = e1) & ~
% 193.39/30.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e0) & ~ (all_57_31 = e2) &
% 193.39/30.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_9) = all_57_8 & op(e2,
% 193.39/30.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_11) = all_57_10 & op(e2, all_57_13) =
% 193.39/30.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & op(e2, all_57_15) = all_57_14 &
% 193.39/30.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_9 & op(e2, e2) = all_57_11
% 193.39/30.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = all_57_13 & op(e2, e0) =
% 193.39/30.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15 & op(e0, e2) = e0 & $i(all_57_8) &
% 193.39/30.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9) & $i(all_57_10) & $i(all_57_11) &
% 193.39/30.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & $i(all_57_13) & $i(all_57_14)
% 193.39/30.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_15)) | (all_57_29 = e0 & ~
% 193.39/30.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_16 = e3) & ~ (all_57_18 = e2) & ~
% 193.39/30.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_22 = e0) & ~
% 193.39/30.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e1) & op(e1, all_57_17) =
% 193.39/30.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_16 & op(e1, all_57_19) = all_57_18 &
% 193.39/30.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_21) = all_57_20 & op(e1,
% 193.39/30.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23) = all_57_22 & op(e1, e3) =
% 193.39/30.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e1, e2) = all_57_19 & op(e1,
% 193.39/30.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_21 & op(e1, e0) = all_57_23 &
% 193.39/30.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_16) &
% 193.39/30.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_17) & $i(all_57_18) & $i(all_57_19)
% 193.39/30.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_20) & $i(all_57_21) &
% 193.39/30.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_23)))
% 193.39/30.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.39/30.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1321) implies:
% 193.39/30.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1322) op(e0, e0) = all_57_31
% 193.39/30.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1323) (all_57_23 = e1 & ~ (all_57_21 = e0) & ~
% 193.39/30.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 193.39/30.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) & op(e1,
% 193.39/30.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_21 & op(e1, e0) = e1 & op(e0,
% 193.39/30.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25) = all_57_24 & op(e0, all_57_27) =
% 193.39/30.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e0, all_57_29) = all_57_28 &
% 193.39/30.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_31) = all_57_30 & op(e0, e3) =
% 193.39/30.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_27 & op(e0, e1)
% 193.39/30.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_29 & $i(all_57_21) & $i(all_57_24) &
% 193.39/30.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_25) & $i(all_57_26) & $i(all_57_27) &
% 193.39/30.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28) & $i(all_57_29) & $i(all_57_30)) |
% 193.39/30.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_25 = e0 & ~ (all_57_0 = e3) & ~
% 193.39/30.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e2) & ~ (all_57_4 = e1) & ~
% 193.39/30.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_6 = e0) & ~ (all_57_31 = e3) & op(e3,
% 193.39/30.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1) = all_57_0 & op(e3, all_57_3) =
% 193.39/30.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_2 & op(e3, all_57_5) = all_57_4 & op(e3,
% 193.39/30.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7) = all_57_6 & op(e3, e3) = all_57_1 &
% 193.39/30.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_3 & op(e3, e1) = all_57_5 &
% 193.39/30.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_7 & op(e0, e3) = e0 &
% 193.39/30.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_0) & $i(all_57_1) & $i(all_57_2) &
% 193.39/30.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_3) & $i(all_57_4) & $i(all_57_5) &
% 193.39/30.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_6) & $i(all_57_7)) | (all_57_27 = e0 &
% 193.39/30.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_8 = e3) & ~ (all_57_10 = e2) & ~
% 193.39/30.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e1) & ~ (all_57_14 = e0) & ~
% 193.39/30.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e2) & op(e2, all_57_9) = all_57_8 &
% 193.39/30.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_11) = all_57_10 & op(e2,
% 193.39/30.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_13) = all_57_12 & op(e2, all_57_15) =
% 193.39/30.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_14 & op(e2, e3) = all_57_9 & op(e2, e2) =
% 193.39/30.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_11 & op(e2, e1) = all_57_13 & op(e2, e0)
% 193.39/30.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_15 & op(e0, e2) = e0 & $i(all_57_8) &
% 193.39/30.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9) & $i(all_57_10) & $i(all_57_11) &
% 193.39/30.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & $i(all_57_13) & $i(all_57_14) &
% 193.39/30.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15)) | (all_57_29 = e0 & ~ (all_57_16
% 193.39/30.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_18 = e2) & ~ (all_57_20 =
% 193.39/30.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_22 = e0) & ~ (all_57_31 =
% 193.39/30.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & op(e1, all_57_17) = all_57_16 & op(e1,
% 193.39/30.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_19) = all_57_18 & op(e1, all_57_21) =
% 193.39/30.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20 & op(e1, all_57_23) = all_57_22 &
% 193.39/30.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_17 & op(e1, e2) = all_57_19
% 193.39/30.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = all_57_21 & op(e1, e0) =
% 193.39/30.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23 & op(e0, e1) = e0 & $i(all_57_16) &
% 193.39/30.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_17) & $i(all_57_18) & $i(all_57_19) &
% 193.39/30.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_20) & $i(all_57_21) & $i(all_57_22) &
% 193.39/30.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23))
% 193.39/30.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.39/30.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (158), (159), (160), (162), (170), (227), (390),
% 193.39/30.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (391), (392), (1069), (1071), (1300), (1322),
% 193.39/30.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1323), (function-axioms) are inconsistent by
% 193.39/30.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1888.
% 193.39/30.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.39/30.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 193.39/30.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.39/30.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 193.39/30.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.39/30.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 193.39/30.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.39/30.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 193.39/30.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.39/30.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 193.39/30.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.39/30.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 193.39/30.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.39/30.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 193.39/30.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.39/30.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 193.39/30.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.39/30.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1324) all_54_11 = e1 | all_54_11 = e0
% 193.39/30.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.39/30.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (1098), (1109), (1280), (1324) are inconsistent by
% 193.39/30.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1598.
% 193.39/30.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.39/30.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 193.39/30.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.39/30.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 193.39/30.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.39/30.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 193.39/30.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.39/30.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 193.39/30.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.39/30.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 193.39/30.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.39/30.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 193.39/30.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.39/30.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 193.39/30.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.39/30.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1325) all_56_12 = e0 & op(e0, e3) = e0
% 193.39/30.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.39/30.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1325) implies:
% 193.39/30.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1326) op(e0, e3) = e0
% 193.39/30.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.39/30.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (1209), (1326), (function-axioms) are
% 193.39/30.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1655.
% 193.39/30.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.39/30.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 193.39/30.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.39/30.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 193.39/30.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.39/30.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 193.39/30.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.39/30.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 193.39/30.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.39/30.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1327) all_54_3 = e2 | all_54_3 = e1 | all_54_3 = e0
% 193.39/30.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.39/30.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (270), (1068), (1170), (1195), (1327) are
% 193.39/30.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1596.
% 193.39/30.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.39/30.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 193.39/30.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.39/30.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 193.39/30.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.39/30.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1328) all_56_13 = e2 & op(e0, e2) = e2
% 193.39/30.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.39/30.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (158), (392), (1328), (function-axioms) are
% 193.39/30.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1969.
% 193.39/30.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.39/30.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 193.39/30.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.39/30.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 193.39/30.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.39/30.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1329) (all_56_14 = e2 & op(e0, e1) = e2) | (all_56_15 =
% 193.39/30.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = e2)
% 193.39/30.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.39/30.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (157), (1071), (1194), (1329),
% 193.39/30.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 193.39/30.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1842.
% 193.39/30.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.39/30.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 193.39/30.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.39/30.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 193.39/30.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.39/30.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 193.39/30.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.39/30.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 193.39/30.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.39/30.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1330) all_54_2 = e1 | all_54_2 = e0
% 193.39/30.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.39/30.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (7), (8), (157), (217), (226), (396),
% 193.39/30.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1032), (1042), (1051), (1056), (1083), (1091),
% 193.39/30.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1105), (1156), (1172), (1185), (1330),
% 193.39/30.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 193.39/30.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1591.
% 193.39/30.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.39/30.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 193.39/30.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.39/30.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 193.39/30.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.39/30.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 193.39/30.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.39/30.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1331) (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_12 =
% 193.39/30.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e3) = e3)
% 193.39/30.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.39/30.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1331) gives:
% 193.39/30.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.39/30.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 193.39/30.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.39/30.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1332) all_56_6 = e3 & op(e1, e3) = e3
% 193.39/30.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.39/30.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1332) implies:
% 193.39/30.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1333) all_56_6 = e3
% 193.39/30.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1334) op(e1, e3) = e3
% 193.39/30.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.39/30.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (217) gives:
% 193.39/30.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.39/30.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 193.39/30.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.39/30.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1335) (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_5 = e0
% 193.39/30.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e0)
% 193.39/30.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.39/30.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (8), (226), (396), (1032), (1083),
% 193.39/30.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1091), (1156), (1172), (1185), (1335),
% 193.39/30.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 193.39/30.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1595.
% 193.39/30.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.39/30.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 193.39/30.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.39/30.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1336) (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_14 =
% 193.39/30.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0)
% 193.39/30.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.39/30.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1336) gives:
% 193.39/30.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.39/30.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 193.39/30.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.39/30.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1337) all_56_8 = e0 & op(e1, e1) = e0
% 193.39/30.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.39/30.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1337) implies:
% 193.39/30.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1338) op(e1, e1) = e0
% 193.39/30.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.39/30.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (1042), (1338), (function-axioms) are
% 193.39/30.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1918.
% 193.39/30.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.39/30.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 193.39/30.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.39/30.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1339) all_56_14 = e0 & op(e0, e1) = e0
% 193.39/30.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.39/30.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1339) implies:
% 193.39/30.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1340) op(e0, e1) = e0
% 193.39/30.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.39/30.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1180) gives:
% 193.39/30.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.39/30.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 193.39/30.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.39/30.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1341) all_54_2 = e2
% 193.39/30.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.39/30.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1051), (1341) imply:
% 193.39/30.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1342) all_32_1 = e2
% 193.39/30.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.39/30.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1342) implies:
% 193.39/30.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1343) all_32_1 = e2
% 193.39/30.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.39/30.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1058), (1343) imply:
% 193.39/30.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1344) ~ (all_52_12 = e2)
% 193.39/30.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.39/30.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (201) gives:
% 193.39/30.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.39/30.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 193.39/30.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.39/30.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1345) all_54_3 = e3
% 193.39/30.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.39/30.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (270), (1345) imply:
% 193.39/30.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1346) all_52_12 = e3
% 193.39/30.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.39/30.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1346) implies:
% 193.39/30.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1347) all_52_12 = e3
% 193.39/30.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.39/30.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (113), (1347) imply:
% 193.39/30.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1348) ~ (all_52_13 = e3)
% 193.39/30.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.39/30.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1348) implies:
% 193.39/30.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1349) ~ (all_52_13 = e3)
% 193.39/30.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.39/30.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (51), (164), (165),
% 193.39/30.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (167), (224), (229), (231), (233), (377), (389),
% 193.39/30.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (396), (1038), (1333), (1334), (1349),
% 193.39/30.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 193.39/30.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1584.
% 193.39/30.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.39/30.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 193.39/30.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.39/30.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1350) all_54_3 = e2 | all_54_3 = e1 | all_54_3 = e0
% 193.39/30.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.39/30.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (270), (1068), (1170), (1344), (1350) are
% 193.39/30.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1596.
% 193.39/30.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.39/30.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 193.39/30.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.39/30.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 193.39/30.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.39/30.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1351) all_54_2 = e1 | all_54_2 = e0
% 193.39/30.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.39/30.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (157), (1051), (1056), (1105), (1340), (1351),
% 193.39/30.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 193.39/30.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1593.
% 193.39/30.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.39/30.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 193.39/30.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.39/30.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 193.39/30.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.39/30.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 193.39/30.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.39/30.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 193.39/30.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.39/30.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1352) all_56_12 = e3 & op(e0, e3) = e3
% 193.39/30.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.39/30.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1352) implies:
% 193.39/30.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1353) all_56_12 = e3
% 193.39/30.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.39/30.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1180) gives:
% 193.39/30.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.39/30.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 193.39/30.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.39/30.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1354) all_54_2 = e2
% 193.39/30.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.39/30.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (157), (158), (208), (392), (1051), (1056),
% 193.39/30.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1059), (1071), (1105), (1353), (1354),
% 193.39/30.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 193.39/30.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1581.
% 193.39/30.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.39/30.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 193.39/30.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.39/30.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1355) all_54_2 = e1 | all_54_2 = e0
% 193.39/30.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.39/30.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (7), (8), (157), (217), (226), (396),
% 193.39/30.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1032), (1042), (1051), (1056), (1083), (1091),
% 193.39/30.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1105), (1156), (1172), (1185), (1355),
% 193.39/30.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 193.39/30.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1591.
% 193.39/30.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.39/30.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 193.39/30.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.39/30.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 193.39/30.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.39/30.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 193.39/30.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.39/30.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 193.39/30.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.39/30.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 193.39/30.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.39/30.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1356) (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_9 = e0
% 193.39/30.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e0)
% 193.39/30.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.39/30.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1356) gives:
% 193.39/30.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.39/30.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 193.39/30.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.39/30.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1357) all_56_4 = e0 & op(e3, e1) = e0
% 193.39/30.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.39/30.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (1032), (1172), (1357), (function-axioms) are
% 193.39/30.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1613.
% 193.39/30.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.39/30.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 193.39/30.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.39/30.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1358) all_56_9 = e0 & op(e3, e0) = e0
% 193.39/30.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.39/30.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1358) implies:
% 193.39/30.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1359) all_56_9 = e0
% 193.39/30.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.39/30.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (212) gives:
% 193.39/30.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.39/30.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 193.39/30.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.39/30.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1360) (all_56_9 = e3 & op(e3, e0) = e3) | (all_56_10 =
% 193.39/30.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e0) = e3)
% 193.39/30.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.39/30.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1360) gives:
% 193.39/30.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.39/30.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 193.39/30.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.39/30.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1361) all_56_9 = e3 & op(e3, e0) = e3
% 193.39/30.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.39/30.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (1359), (1361) are inconsistent by sub-proof
% 193.39/30.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1580.
% 193.39/30.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.39/30.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 193.39/30.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.39/30.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1362) all_56_10 = e3 & op(e2, e0) = e3
% 193.39/30.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.39/30.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1362) implies:
% 193.39/30.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1363) all_56_10 = e3
% 193.39/30.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.39/30.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (206) gives:
% 193.39/30.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.39/30.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 193.39/30.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.39/30.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1364) all_56_15 = e0 & op(e0, e0) = e0
% 193.39/30.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.39/30.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1364) implies:
% 193.39/30.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1365) op(e0, e0) = e0
% 193.39/30.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.39/30.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (1071), (1365), (function-axioms) are
% 193.39/30.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1708.
% 193.39/30.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.39/30.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 193.39/30.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.39/30.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1366) ((all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 =
% 193.39/30.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_56_11 = e0 &
% 193.39/30.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e0)) & ((all_56_12 = e0 & op(e0,
% 193.39/30.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e0) | (all_56_13 = e0 & op(e0, e2) =
% 193.39/30.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) | (all_56_14 = e0 & op(e0, e1) = e0))
% 193.39/30.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.39/30.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1366) implies:
% 193.39/30.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1367) (all_56_12 = e0 & op(e0, e3) = e0) | (all_56_13 =
% 193.39/30.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0) | (all_56_14 = e0 & op(e0,
% 193.39/30.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0)
% 193.39/30.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.39/30.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (235) gives:
% 193.39/30.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.39/30.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 193.39/30.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.39/30.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1368) (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_2 = e3
% 193.39/30.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e3)
% 193.39/30.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.39/30.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1368) gives:
% 193.39/30.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.39/30.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 193.39/30.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.39/30.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1369) all_56_0 = e3 & op(e3, e3) = e3
% 193.39/30.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.39/30.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1369) implies:
% 193.39/30.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1370) op(e3, e3) = e3
% 193.39/30.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.39/30.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (1008), (1370), (function-axioms) are
% 193.39/30.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1924.
% 193.39/30.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.39/30.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 193.39/30.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.39/30.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1371) all_56_2 = e3 & op(e2, e3) = e3
% 193.39/30.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.39/30.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1371) implies:
% 193.39/30.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1372) all_56_2 = e3
% 193.39/30.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.39/30.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (221), (396), (1083), (1363),
% 193.39/30.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1372), (function-axioms) are inconsistent by
% 193.39/30.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1821.
% 193.39/30.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.39/30.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 193.39/30.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.39/30.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 193.39/30.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.39/30.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1373) (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_12 =
% 193.39/30.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e3) = e3)
% 193.39/30.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.39/30.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1373) gives:
% 193.39/30.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.39/30.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 193.39/30.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.39/30.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1374) all_56_6 = e3 & op(e1, e3) = e3
% 193.39/30.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.39/30.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1374) implies:
% 193.39/30.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1375) all_56_6 = e3
% 193.39/30.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1376) op(e1, e3) = e3
% 193.39/30.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.39/30.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (213), (214), (215),
% 193.39/30.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1042), (1091), (1375), (1376), (function-axioms)
% 193.39/30.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1573.
% 193.39/30.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.39/30.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 193.39/30.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.39/30.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1377) all_56_12 = e3 & op(e0, e3) = e3
% 193.39/30.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.39/30.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1377) implies:
% 193.39/30.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1378) all_56_12 = e3
% 193.39/30.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1379) op(e0, e3) = e3
% 193.39/30.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.39/30.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1180) gives:
% 193.39/30.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.39/30.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 193.39/30.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.39/30.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1380) all_54_2 = e2
% 193.39/30.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.39/30.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (157), (158), (208), (392), (1051), (1056),
% 193.39/30.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1059), (1071), (1105), (1378), (1380),
% 193.39/30.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 193.39/30.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1581.
% 193.39/30.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.39/30.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 193.39/30.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.39/30.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1381) all_54_2 = e1 | all_54_2 = e0
% 193.39/30.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.39/30.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1367) gives:
% 193.39/30.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.39/30.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 193.39/30.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.39/30.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1382) all_56_12 = e0 & op(e0, e3) = e0
% 193.39/30.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.39/30.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1382) implies:
% 193.39/30.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1383) op(e0, e3) = e0
% 193.39/30.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.39/30.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (1379), (1383), (function-axioms) are
% 193.39/30.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1877.
% 193.39/30.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.39/30.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 193.39/30.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.39/30.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1384) (all_56_13 = e0 & op(e0, e2) = e0) | (all_56_14 =
% 193.39/30.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0)
% 193.39/30.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.39/30.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1384) gives:
% 193.39/30.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.39/30.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 193.39/30.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.39/30.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1385) all_56_13 = e0 & op(e0, e2) = e0
% 193.39/30.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.39/30.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1385) implies:
% 193.39/30.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1386) op(e0, e2) = e0
% 193.39/30.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.39/30.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (158), (1168), (1386), (function-axioms) are
% 193.39/30.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1895.
% 193.39/30.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.39/30.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 193.39/30.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.39/30.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1387) all_56_14 = e0 & op(e0, e1) = e0
% 193.39/30.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.39/30.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1387) implies:
% 193.39/30.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1388) op(e0, e1) = e0
% 193.39/30.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.39/30.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (157), (1051), (1056), (1105), (1381), (1388),
% 193.39/30.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 193.39/30.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1593.
% 193.39/30.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.39/30.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 193.39/30.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.39/30.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 193.39/30.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.39/30.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 193.39/30.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.39/30.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 193.39/30.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.39/30.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 193.39/30.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.39/30.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 193.39/30.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.39/30.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 193.39/30.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.39/30.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 193.39/30.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.39/30.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1389) (all_56_11 = e3 & op(e1, e0) = e3) | (all_56_15 =
% 193.39/30.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = e3)
% 193.39/30.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.39/30.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (160), (206), (207),
% 193.39/30.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (208), (1040), (1156), (1389), (function-axioms)
% 193.39/30.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1572.
% 193.39/30.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.39/30.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 193.39/30.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.39/30.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 193.39/30.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.39/30.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 193.39/30.44 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.39/30.44 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 193.39/30.44 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.39/30.44 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 193.39/30.44 | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.39/30.44 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 193.39/30.44 | | | | | | | | | | | | | | | | | | | | | | | |
% 193.39/30.44 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 193.39/30.44 | | | | | | | | | | | | | | | | | | | | | | |
% 193.39/30.44 | | | | | | | | | | | | | | | | | | | | | | End of split
% 193.39/30.44 | | | | | | | | | | | | | | | | | | | | | |
% 193.39/30.44 | | | | | | | | | | | | | | | | | | | | | End of split
% 193.39/30.44 | | | | | | | | | | | | | | | | | | | | |
% 193.39/30.44 | | | | | | | | | | | | | | | | | | | | Case 2:
% 193.39/30.44 | | | | | | | | | | | | | | | | | | | | |
% 193.39/30.44 | | | | | | | | | | | | | | | | | | | | | (1390) all_56_13 = e1 & op(e0, e2) = e1
% 193.39/30.44 | | | | | | | | | | | | | | | | | | | | |
% 193.39/30.44 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (157), (206), (208),
% 193.39/30.44 | | | | | | | | | | | | | | | | | | | | | (209), (1039), (1071), (1390), (function-axioms)
% 193.39/30.44 | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1567.
% 193.39/30.44 | | | | | | | | | | | | | | | | | | | | |
% 193.39/30.44 | | | | | | | | | | | | | | | | | | | | End of split
% 193.39/30.44 | | | | | | | | | | | | | | | | | | | |
% 193.39/30.44 | | | | | | | | | | | | | | | | | | | End of split
% 193.39/30.44 | | | | | | | | | | | | | | | | | | |
% 193.39/30.44 | | | | | | | | | | | | | | | | | | Case 2:
% 193.39/30.44 | | | | | | | | | | | | | | | | | | |
% 193.39/30.44 | | | | | | | | | | | | | | | | | | | (1391) all_56_10 = e1 & op(e2, e0) = e1
% 193.39/30.44 | | | | | | | | | | | | | | | | | | |
% 193.39/30.44 | | | | | | | | | | | | | | | | | | | ALPHA: (1391) implies:
% 193.39/30.44 | | | | | | | | | | | | | | | | | | | (1392) all_56_10 = e1
% 193.39/30.44 | | | | | | | | | | | | | | | | | | |
% 193.39/30.44 | | | | | | | | | | | | | | | | | | | BETA: splitting (212) gives:
% 193.39/30.44 | | | | | | | | | | | | | | | | | | |
% 193.39/30.44 | | | | | | | | | | | | | | | | | | | Case 1:
% 193.39/30.44 | | | | | | | | | | | | | | | | | | | |
% 193.39/30.44 | | | | | | | | | | | | | | | | | | | | (1393) (all_56_9 = e3 & op(e3, e0) = e3) | (all_56_10 =
% 193.39/30.44 | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e0) = e3)
% 193.39/30.44 | | | | | | | | | | | | | | | | | | | |
% 193.39/30.44 | | | | | | | | | | | | | | | | | | | | BETA: splitting (1393) gives:
% 193.39/30.44 | | | | | | | | | | | | | | | | | | | |
% 193.39/30.44 | | | | | | | | | | | | | | | | | | | | Case 1:
% 193.39/30.44 | | | | | | | | | | | | | | | | | | | | |
% 193.39/30.44 | | | | | | | | | | | | | | | | | | | | | (1394) all_56_9 = e3 & op(e3, e0) = e3
% 193.39/30.44 | | | | | | | | | | | | | | | | | | | | |
% 193.39/30.44 | | | | | | | | | | | | | | | | | | | | | ALPHA: (1394) implies:
% 193.39/30.44 | | | | | | | | | | | | | | | | | | | | | (1395) all_56_9 = e3
% 193.39/30.44 | | | | | | | | | | | | | | | | | | | | |
% 193.39/30.44 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (45), (206), (211),
% 193.39/30.44 | | | | | | | | | | | | | | | | | | | | | (212), (376), (1071), (1392), (1395),
% 193.39/30.44 | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 193.39/30.44 | | | | | | | | | | | | | | | | | | | | | #1559.
% 193.39/30.44 | | | | | | | | | | | | | | | | | | | | |
% 193.39/30.44 | | | | | | | | | | | | | | | | | | | | Case 2:
% 193.39/30.44 | | | | | | | | | | | | | | | | | | | | |
% 193.39/30.44 | | | | | | | | | | | | | | | | | | | | | (1396) all_56_10 = e3 & op(e2, e0) = e3
% 193.39/30.44 | | | | | | | | | | | | | | | | | | | | |
% 193.39/30.44 | | | | | | | | | | | | | | | | | | | | | ALPHA: (1396) implies:
% 193.39/30.44 | | | | | | | | | | | | | | | | | | | | | (1397) all_56_10 = e3
% 193.39/30.44 | | | | | | | | | | | | | | | | | | | | |
% 193.39/30.44 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (1392), (1397) are inconsistent by sub-proof
% 193.39/30.44 | | | | | | | | | | | | | | | | | | | | | #1818.
% 193.39/30.44 | | | | | | | | | | | | | | | | | | | | |
% 193.39/30.44 | | | | | | | | | | | | | | | | | | | | End of split
% 193.39/30.44 | | | | | | | | | | | | | | | | | | | |
% 193.39/30.44 | | | | | | | | | | | | | | | | | | | Case 2:
% 193.39/30.44 | | | | | | | | | | | | | | | | | | | |
% 193.39/30.44 | | | | | | | | | | | | | | | | | | | | (1398) (all_56_11 = e3 & op(e1, e0) = e3) | (all_56_15 =
% 193.39/30.44 | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = e3)
% 193.39/30.44 | | | | | | | | | | | | | | | | | | | |
% 193.39/30.44 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (160), (1040), (1071), (1398),
% 193.39/30.44 | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 193.39/30.44 | | | | | | | | | | | | | | | | | | | | #1558.
% 193.39/30.44 | | | | | | | | | | | | | | | | | | | |
% 193.39/30.44 | | | | | | | | | | | | | | | | | | | End of split
% 193.39/30.44 | | | | | | | | | | | | | | | | | | |
% 193.39/30.44 | | | | | | | | | | | | | | | | | | End of split
% 193.39/30.44 | | | | | | | | | | | | | | | | | |
% 193.39/30.44 | | | | | | | | | | | | | | | | | End of split
% 193.39/30.44 | | | | | | | | | | | | | | | | |
% 193.39/30.44 | | | | | | | | | | | | | | | | End of split
% 193.39/30.44 | | | | | | | | | | | | | | | |
% 193.39/30.44 | | | | | | | | | | | | | | | End of split
% 193.39/30.44 | | | | | | | | | | | | | | |
% 193.39/30.44 | | | | | | | | | | | | | | End of split
% 193.39/30.44 | | | | | | | | | | | | | |
% 193.39/30.44 | | | | | | | | | | | | | End of split
% 193.39/30.44 | | | | | | | | | | | | |
% 193.39/30.44 | | | | | | | | | | | | Case 2:
% 193.39/30.44 | | | | | | | | | | | | |
% 193.39/30.44 | | | | | | | | | | | | | (1399) all_30_2 = e2
% 193.39/30.44 | | | | | | | | | | | | |
% 193.39/30.44 | | | | | | | | | | | | | COMBINE_EQS: (309), (1399) imply:
% 193.39/30.44 | | | | | | | | | | | | | (1400) all_10_2 = e2
% 193.39/30.44 | | | | | | | | | | | | |
% 193.39/30.44 | | | | | | | | | | | | | REDUCE: (369), (1400) imply:
% 193.39/30.44 | | | | | | | | | | | | | (1401) ~ (all_52_12 = e2)
% 193.39/30.44 | | | | | | | | | | | | |
% 193.39/30.44 | | | | | | | | | | | | | REDUCE: (371), (1400) imply:
% 193.39/30.44 | | | | | | | | | | | | | (1402) ~ (all_52_14 = e2)
% 193.39/30.44 | | | | | | | | | | | | |
% 193.39/30.44 | | | | | | | | | | | | | REDUCE: (45), (1400) imply:
% 193.39/30.44 | | | | | | | | | | | | | (1403) op(e0, e0) = e2
% 193.39/30.44 | | | | | | | | | | | | |
% 193.39/30.44 | | | | | | | | | | | | | BETA: splitting (215) gives:
% 193.39/30.44 | | | | | | | | | | | | |
% 193.39/30.44 | | | | | | | | | | | | | Case 1:
% 193.39/30.44 | | | | | | | | | | | | | |
% 193.39/30.44 | | | | | | | | | | | | | | (1404) (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_7 = e2
% 193.39/30.44 | | | | | | | | | | | | | | & op(e1, e2) = e2)
% 193.39/30.44 | | | | | | | | | | | | | |
% 193.39/30.44 | | | | | | | | | | | | | | BETA: splitting (1404) gives:
% 193.39/30.44 | | | | | | | | | | | | | |
% 193.39/30.44 | | | | | | | | | | | | | | Case 1:
% 193.39/30.44 | | | | | | | | | | | | | | |
% 193.39/30.44 | | | | | | | | | | | | | | | (1405) all_56_6 = e2 & op(e1, e3) = e2
% 193.39/30.44 | | | | | | | | | | | | | | |
% 193.39/30.44 | | | | | | | | | | | | | | | ALPHA: (1405) implies:
% 193.39/30.44 | | | | | | | | | | | | | | | (1406) all_56_6 = e2
% 193.39/30.44 | | | | | | | | | | | | | | | (1407) op(e1, e3) = e2
% 193.39/30.44 | | | | | | | | | | | | | | |
% 193.39/30.44 | | | | | | | | | | | | | | | BETA: splitting (234) gives:
% 193.39/30.44 | | | | | | | | | | | | | | |
% 193.39/30.44 | | | | | | | | | | | | | | | Case 1:
% 193.39/30.44 | | | | | | | | | | | | | | | |
% 193.39/30.44 | | | | | | | | | | | | | | | | (1408) (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_1 = e2
% 193.39/30.44 | | | | | | | | | | | | | | | | & op(e3, e2) = e2)
% 193.39/30.44 | | | | | | | | | | | | | | | |
% 193.39/30.44 | | | | | | | | | | | | | | | | REF_CLOSE: (6), (170), (390), (1008), (1408),
% 193.39/30.44 | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 193.39/30.44 | | | | | | | | | | | | | | | | #1557.
% 193.39/30.44 | | | | | | | | | | | | | | | |
% 193.39/30.44 | | | | | | | | | | | | | | | Case 2:
% 193.39/30.44 | | | | | | | | | | | | | | | |
% 193.39/30.44 | | | | | | | | | | | | | | | | (1409) (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_9 = e2
% 193.39/30.44 | | | | | | | | | | | | | | | | & op(e3, e0) = e2)
% 193.39/30.44 | | | | | | | | | | | | | | | |
% 193.39/30.44 | | | | | | | | | | | | | | | | BETA: splitting (1409) gives:
% 193.39/30.44 | | | | | | | | | | | | | | | |
% 193.39/30.44 | | | | | | | | | | | | | | | | Case 1:
% 193.39/30.44 | | | | | | | | | | | | | | | | |
% 193.39/30.44 | | | | | | | | | | | | | | | | | (1410) all_56_4 = e2 & op(e3, e1) = e2
% 193.39/30.44 | | | | | | | | | | | | | | | | |
% 193.39/30.44 | | | | | | | | | | | | | | | | | ALPHA: (1410) implies:
% 193.39/30.44 | | | | | | | | | | | | | | | | | (1411) all_56_4 = e2
% 193.39/30.44 | | | | | | | | | | | | | | | | | (1412) op(e3, e1) = e2
% 193.39/30.44 | | | | | | | | | | | | | | | | |
% 193.39/30.44 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_28_1, e2,
% 193.39/30.44 | | | | | | | | | | | | | | | | | e3, e1, simplifying with (999), (1407) gives:
% 193.39/30.44 | | | | | | | | | | | | | | | | | (1413) all_28_1 = e2
% 193.39/30.44 | | | | | | | | | | | | | | | | |
% 193.39/30.44 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_8, e2,
% 193.39/30.44 | | | | | | | | | | | | | | | | | e1, e3, simplifying with (169), (1412) gives:
% 193.39/30.44 | | | | | | | | | | | | | | | | | (1414) all_52_8 = e2
% 193.39/30.44 | | | | | | | | | | | | | | | | |
% 193.39/30.44 | | | | | | | | | | | | | | | | | REDUCE: (1019), (1413) imply:
% 193.39/30.44 | | | | | | | | | | | | | | | | | (1415) ~ (all_52_3 = e2)
% 193.39/30.44 | | | | | | | | | | | | | | | | |
% 193.39/30.44 | | | | | | | | | | | | | | | | | REDUCE: (121), (1414) imply:
% 193.39/30.44 | | | | | | | | | | | | | | | | | (1416) ~ (all_52_11 = e2)
% 193.39/30.44 | | | | | | | | | | | | | | | | |
% 193.39/30.44 | | | | | | | | | | | | | | | | | SIMP: (1416) implies:
% 193.39/30.44 | | | | | | | | | | | | | | | | | (1417) ~ (all_52_11 = e2)
% 193.39/30.44 | | | | | | | | | | | | | | | | |
% 193.39/30.44 | | | | | | | | | | | | | | | | | REDUCE: (1024), (1413) imply:
% 193.39/30.44 | | | | | | | | | | | | | | | | | (1418) ~ (all_4_2 = e2)
% 193.39/30.44 | | | | | | | | | | | | | | | | |
% 193.39/30.44 | | | | | | | | | | | | | | | | | BETA: splitting (1000) gives:
% 193.39/30.44 | | | | | | | | | | | | | | | | |
% 193.39/30.44 | | | | | | | | | | | | | | | | | Case 1:
% 193.39/30.44 | | | | | | | | | | | | | | | | | |
% 193.39/30.44 | | | | | | | | | | | | | | | | | | (1419) ~ (all_28_1 = e2)
% 193.39/30.44 | | | | | | | | | | | | | | | | | |
% 193.39/30.44 | | | | | | | | | | | | | | | | | | REDUCE: (1413), (1419) imply:
% 193.39/30.44 | | | | | | | | | | | | | | | | | | (1420) $false
% 193.39/30.44 | | | | | | | | | | | | | | | | | |
% 193.39/30.44 | | | | | | | | | | | | | | | | | | CLOSE: (1420) is inconsistent.
% 193.39/30.44 | | | | | | | | | | | | | | | | | |
% 193.39/30.44 | | | | | | | | | | | | | | | | | Case 2:
% 193.39/30.44 | | | | | | | | | | | | | | | | | |
% 193.39/30.44 | | | | | | | | | | | | | | | | | | (1421) ~ (all_28_0 = e0) & op(e2, e1) = all_28_0 &
% 193.39/30.44 | | | | | | | | | | | | | | | | | | $i(all_28_0)
% 193.39/30.44 | | | | | | | | | | | | | | | | | |
% 193.39/30.44 | | | | | | | | | | | | | | | | | | ALPHA: (1421) implies:
% 193.39/30.44 | | | | | | | | | | | | | | | | | | (1422) ~ (all_28_0 = e0)
% 193.39/30.44 | | | | | | | | | | | | | | | | | | (1423) op(e2, e1) = all_28_0
% 193.39/30.44 | | | | | | | | | | | | | | | | | |
% 193.39/30.44 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_9,
% 193.39/30.44 | | | | | | | | | | | | | | | | | | all_28_0, e1, e2, simplifying with (165), (1423)
% 193.39/30.44 | | | | | | | | | | | | | | | | | | gives:
% 193.39/30.44 | | | | | | | | | | | | | | | | | | (1424) all_52_9 = all_28_0
% 193.39/30.44 | | | | | | | | | | | | | | | | | |
% 193.39/30.44 | | | | | | | | | | | | | | | | | | BETA: splitting (217) gives:
% 193.39/30.44 | | | | | | | | | | | | | | | | | |
% 193.39/30.44 | | | | | | | | | | | | | | | | | | Case 1:
% 193.39/30.44 | | | | | | | | | | | | | | | | | | |
% 193.39/30.44 | | | | | | | | | | | | | | | | | | | (1425) (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_5 = e0
% 193.39/30.44 | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e0)
% 193.39/30.44 | | | | | | | | | | | | | | | | | | |
% 193.39/30.44 | | | | | | | | | | | | | | | | | | | BETA: splitting (1425) gives:
% 193.39/30.44 | | | | | | | | | | | | | | | | | | |
% 193.39/30.44 | | | | | | | | | | | | | | | | | | | Case 1:
% 193.39/30.44 | | | | | | | | | | | | | | | | | | | |
% 193.39/30.44 | | | | | | | | | | | | | | | | | | | | (1426) all_56_4 = e0 & op(e3, e1) = e0
% 193.39/30.44 | | | | | | | | | | | | | | | | | | | |
% 193.39/30.44 | | | | | | | | | | | | | | | | | | | | ALPHA: (1426) implies:
% 193.39/30.44 | | | | | | | | | | | | | | | | | | | | (1427) all_56_4 = e0
% 193.39/30.44 | | | | | | | | | | | | | | | | | | | |
% 193.39/30.44 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (1411), (1427) are inconsistent by sub-proof
% 193.39/30.44 | | | | | | | | | | | | | | | | | | | | #1556.
% 193.39/30.44 | | | | | | | | | | | | | | | | | | | |
% 193.39/30.44 | | | | | | | | | | | | | | | | | | | Case 2:
% 193.39/30.44 | | | | | | | | | | | | | | | | | | | |
% 193.39/30.44 | | | | | | | | | | | | | | | | | | | | (1428) all_56_5 = e0 & op(e2, e1) = e0
% 193.39/30.44 | | | | | | | | | | | | | | | | | | | |
% 193.39/30.44 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (1422), (1423), (1428), (function-axioms) are
% 193.39/30.44 | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1555.
% 193.39/30.44 | | | | | | | | | | | | | | | | | | | |
% 193.39/30.44 | | | | | | | | | | | | | | | | | | | End of split
% 193.39/30.44 | | | | | | | | | | | | | | | | | | |
% 193.39/30.44 | | | | | | | | | | | | | | | | | | Case 2:
% 193.39/30.44 | | | | | | | | | | | | | | | | | | |
% 193.39/30.44 | | | | | | | | | | | | | | | | | | | (1429) (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_14 =
% 193.39/30.44 | | | | | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0)
% 193.39/30.44 | | | | | | | | | | | | | | | | | | |
% 193.39/30.44 | | | | | | | | | | | | | | | | | | | BETA: splitting (1429) gives:
% 193.39/30.44 | | | | | | | | | | | | | | | | | | |
% 193.39/30.44 | | | | | | | | | | | | | | | | | | | Case 1:
% 193.39/30.44 | | | | | | | | | | | | | | | | | | | |
% 193.39/30.44 | | | | | | | | | | | | | | | | | | | | (1430) all_56_8 = e0 & op(e1, e1) = e0
% 193.39/30.44 | | | | | | | | | | | | | | | | | | | |
% 193.39/30.44 | | | | | | | | | | | | | | | | | | | | ALPHA: (1430) implies:
% 193.39/30.44 | | | | | | | | | | | | | | | | | | | | (1431) op(e1, e1) = e0
% 193.39/30.44 | | | | | | | | | | | | | | | | | | | |
% 193.39/30.44 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_4_2, e0,
% 193.39/30.44 | | | | | | | | | | | | | | | | | | | | e1, e1, simplifying with (36), (1431) gives:
% 193.39/30.44 | | | | | | | | | | | | | | | | | | | | (1432) all_4_2 = e0
% 193.39/30.44 | | | | | | | | | | | | | | | | | | | |
% 193.39/30.44 | | | | | | | | | | | | | | | | | | | | REDUCE: (372), (1432) imply:
% 193.39/30.44 | | | | | | | | | | | | | | | | | | | | (1433) $false
% 193.39/30.44 | | | | | | | | | | | | | | | | | | | |
% 193.39/30.44 | | | | | | | | | | | | | | | | | | | | CLOSE: (1433) is inconsistent.
% 193.39/30.44 | | | | | | | | | | | | | | | | | | | |
% 193.39/30.44 | | | | | | | | | | | | | | | | | | | Case 2:
% 193.39/30.44 | | | | | | | | | | | | | | | | | | | |
% 193.39/30.44 | | | | | | | | | | | | | | | | | | | | (1434) all_56_14 = e0 & op(e0, e1) = e0
% 193.39/30.44 | | | | | | | | | | | | | | | | | | | |
% 193.39/30.44 | | | | | | | | | | | | | | | | | | | | ALPHA: (1434) implies:
% 193.39/30.44 | | | | | | | | | | | | | | | | | | | | (1435) all_56_14 = e0
% 193.39/30.44 | | | | | | | | | | | | | | | | | | | | (1436) op(e0, e1) = e0
% 193.39/30.44 | | | | | | | | | | | | | | | | | | | |
% 193.39/30.44 | | | | | | | | | | | | | | | | | | | | BETA: splitting (207) gives:
% 193.39/30.44 | | | | | | | | | | | | | | | | | | | |
% 193.39/30.44 | | | | | | | | | | | | | | | | | | | | Case 1:
% 193.39/30.44 | | | | | | | | | | | | | | | | | | | | |
% 193.39/30.44 | | | | | | | | | | | | | | | | | | | | | (1437) (all_56_12 = e1 & op(e0, e3) = e1) | (all_56_13 =
% 193.39/30.44 | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e2) = e1)
% 193.39/30.44 | | | | | | | | | | | | | | | | | | | | |
% 193.39/30.44 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1437) gives:
% 193.39/30.44 | | | | | | | | | | | | | | | | | | | | |
% 193.39/30.44 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 193.39/30.44 | | | | | | | | | | | | | | | | | | | | | |
% 193.39/30.44 | | | | | | | | | | | | | | | | | | | | | | (1438) all_56_12 = e1 & op(e0, e3) = e1
% 193.39/30.44 | | | | | | | | | | | | | | | | | | | | | |
% 193.39/30.44 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1438) implies:
% 193.39/30.44 | | | | | | | | | | | | | | | | | | | | | | (1439) all_56_12 = e1
% 193.39/30.44 | | | | | | | | | | | | | | | | | | | | | |
% 193.39/30.44 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (45), (209), (229),
% 193.39/30.44 | | | | | | | | | | | | | | | | | | | | | | (233), (235), (376), (1008), (1403), (1435),
% 193.39/30.44 | | | | | | | | | | | | | | | | | | | | | | (1439), (function-axioms) are inconsistent by
% 193.39/30.44 | | | | | | | | | | | | | | | | | | | | | | sub-proof #1537.
% 193.39/30.44 | | | | | | | | | | | | | | | | | | | | | |
% 193.39/30.44 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 193.39/30.44 | | | | | | | | | | | | | | | | | | | | | |
% 193.39/30.44 | | | | | | | | | | | | | | | | | | | | | | (1440) all_56_13 = e1 & op(e0, e2) = e1
% 193.39/30.44 | | | | | | | | | | | | | | | | | | | | | |
% 193.39/30.44 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1440) implies:
% 193.39/30.44 | | | | | | | | | | | | | | | | | | | | | | (1441) all_56_13 = e1
% 193.39/30.44 | | | | | | | | | | | | | | | | | | | | | | (1442) op(e0, e2) = e1
% 193.39/30.44 | | | | | | | | | | | | | | | | | | | | | |
% 193.39/30.44 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (209) gives:
% 193.39/30.44 | | | | | | | | | | | | | | | | | | | | | |
% 193.39/30.44 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 193.39/30.44 | | | | | | | | | | | | | | | | | | | | | | |
% 193.39/30.44 | | | | | | | | | | | | | | | | | | | | | | | (1443) (all_56_12 = e3 & op(e0, e3) = e3) | (all_56_13 =
% 193.39/30.44 | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e2) = e3)
% 193.39/30.44 | | | | | | | | | | | | | | | | | | | | | | |
% 193.39/30.44 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1443) gives:
% 193.39/30.44 | | | | | | | | | | | | | | | | | | | | | | |
% 193.39/30.44 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 193.39/30.44 | | | | | | | | | | | | | | | | | | | | | | | |
% 193.39/30.44 | | | | | | | | | | | | | | | | | | | | | | | | (1444) all_56_12 = e3 & op(e0, e3) = e3
% 193.39/30.44 | | | | | | | | | | | | | | | | | | | | | | | |
% 193.39/30.44 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1444) implies:
% 193.39/30.44 | | | | | | | | | | | | | | | | | | | | | | | | (1445) all_56_12 = e3
% 193.39/30.44 | | | | | | | | | | | | | | | | | | | | | | | | (1446) op(e0, e3) = e3
% 193.39/30.44 | | | | | | | | | | | | | | | | | | | | | | | |
% 193.39/30.44 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (229) gives:
% 193.39/30.44 | | | | | | | | | | | | | | | | | | | | | | | |
% 193.39/30.44 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 193.39/30.44 | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.39/30.44 | | | | | | | | | | | | | | | | | | | | | | | | | (1447) (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0
% 193.39/30.44 | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e0)
% 193.39/30.44 | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.39/30.44 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1447) gives:
% 193.39/30.44 | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.39/30.44 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 193.39/30.44 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.39/30.44 | | | | | | | | | | | | | | | | | | | | | | | | | | (1448) all_56_0 = e0 & op(e3, e3) = e0
% 193.39/30.44 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.39/30.44 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1448) implies:
% 193.39/30.44 | | | | | | | | | | | | | | | | | | | | | | | | | | (1449) op(e3, e3) = e0
% 193.39/30.44 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.39/30.44 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (1008), (1449), (function-axioms) are
% 193.39/30.44 | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1834.
% 193.39/30.44 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.39/30.44 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 193.39/30.44 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.39/30.44 | | | | | | | | | | | | | | | | | | | | | | | | | | (1450) all_56_2 = e0 & op(e2, e3) = e0
% 193.39/30.44 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.39/30.44 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1450) implies:
% 193.39/30.44 | | | | | | | | | | | | | | | | | | | | | | | | | | (1451) op(e2, e3) = e0
% 193.39/30.44 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.39/30.44 | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_11,
% 193.39/30.44 | | | | | | | | | | | | | | | | | | | | | | | | | | e0, e1, e0, simplifying with (157), (1436) gives:
% 193.39/30.44 | | | | | | | | | | | | | | | | | | | | | | | | | | (1452) all_52_11 = e0
% 193.39/30.44 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.39/30.44 | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_7, e1,
% 193.39/30.44 | | | | | | | | | | | | | | | | | | | | | | | | | | e2, e0, simplifying with (158), (1442) gives:
% 193.39/30.44 | | | | | | | | | | | | | | | | | | | | | | | | | | (1453) all_52_7 = e1
% 193.39/30.44 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.39/30.44 | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_3, e3,
% 193.39/30.44 | | | | | | | | | | | | | | | | | | | | | | | | | | e3, e0, simplifying with (159), (1446) gives:
% 193.39/30.44 | | | | | | | | | | | | | | | | | | | | | | | | | | (1454) all_52_3 = e3
% 193.39/30.44 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.39/30.44 | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_1, e0,
% 193.39/30.44 | | | | | | | | | | | | | | | | | | | | | | | | | | e3, e2, simplifying with (167), (1451) gives:
% 193.39/30.44 | | | | | | | | | | | | | | | | | | | | | | | | | | (1455) all_52_1 = e0
% 193.39/30.44 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.39/30.44 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (365), (1452) imply:
% 193.39/30.44 | | | | | | | | | | | | | | | | | | | | | | | | | | (1456) ~ (all_4_2 = e0)
% 193.39/30.44 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.39/30.44 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1417), (1452) imply:
% 193.39/30.44 | | | | | | | | | | | | | | | | | | | | | | | | | | (1457) ~ (e2 = e0)
% 193.39/30.44 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.39/30.44 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (106) gives:
% 193.39/30.44 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.39/30.44 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 193.39/30.44 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.39/30.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1458) ~ (all_50_2 = e3)
% 193.39/30.44 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.39/30.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (295), (1458) imply:
% 193.39/30.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1459) ~ (all_4_2 = e3)
% 193.39/30.44 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.39/30.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (9), (36), (45), (158), (162), (170), (194),
% 193.39/30.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | (227), (239), (335), (372), (375), (376), (390),
% 193.39/30.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | (391), (392), (396), (1008), (1459),
% 193.39/30.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 193.39/30.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | #1755.
% 193.39/30.44 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.39/30.44 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 193.39/30.44 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.39/30.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1460) all_50_2 = e3
% 193.39/30.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1461) op(e3, e1) = all_50_1 & $i(all_50_1) & ( ~
% 193.39/30.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_50_1 = e2) | ( ~ (all_50_0 = e0) & op(e2,
% 193.39/30.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_50_0 & $i(all_50_0)))
% 193.39/30.44 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.39/30.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1461) implies:
% 193.39/30.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1462) op(e3, e1) = all_50_1
% 193.39/30.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1463) ~ (all_50_1 = e2) | ( ~ (all_50_0 = e0) & op(e2,
% 193.39/30.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_50_0 & $i(all_50_0))
% 193.39/30.44 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.39/30.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (295), (1460) imply:
% 193.39/30.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1464) all_4_2 = e3
% 193.39/30.44 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.39/30.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1464) implies:
% 193.39/30.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1465) all_4_2 = e3
% 193.39/30.44 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.39/30.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (360), (1465) imply:
% 193.39/30.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1466) ~ (all_52_6 = e3)
% 193.39/30.44 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.39/30.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (367), (1465) imply:
% 193.39/30.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1467) ~ (all_52_14 = e3)
% 193.39/30.44 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.39/30.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (36), (1465) imply:
% 193.39/30.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1468) op(e1, e1) = e3
% 193.39/30.44 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.39/30.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (218) gives:
% 193.39/30.44 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.39/30.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 193.39/30.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.39/30.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1469) (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_5 = e1
% 193.39/30.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e1)
% 193.39/30.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.39/30.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1469) gives:
% 193.39/30.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.39/30.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 193.39/30.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.39/30.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1470) all_56_4 = e1 & op(e3, e1) = e1
% 193.39/30.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.39/30.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1470) implies:
% 193.39/30.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1471) all_56_4 = e1
% 193.39/30.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.39/30.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (170), (230), (234),
% 193.39/30.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (236), (390), (1008), (1471), (function-axioms)
% 193.39/30.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1536.
% 193.39/30.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.39/30.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 193.39/30.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.39/30.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1472) all_56_5 = e1 & op(e2, e1) = e1
% 193.39/30.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.39/30.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1472) implies:
% 193.39/30.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1473) op(e2, e1) = e1
% 193.39/30.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.39/30.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (228) gives:
% 193.39/30.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.39/30.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 193.39/30.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.39/30.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1474) (all_56_1 = e3 & op(e3, e2) = e3) | (all_56_3 = e3
% 193.39/30.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e3)
% 193.39/30.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.39/30.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1474) gives:
% 193.39/30.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.39/30.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 193.39/30.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.39/30.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1475) all_56_1 = e3 & op(e3, e2) = e3
% 193.39/30.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.39/30.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1475) implies:
% 193.39/30.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1476) all_56_1 = e3
% 193.39/30.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.39/30.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (230) gives:
% 193.39/30.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.39/30.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 193.39/30.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.39/30.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1477) (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_1 = e0
% 193.39/30.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e0)
% 193.39/30.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.39/30.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (7), (1008), (1476), (1477),
% 193.39/30.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 193.39/30.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1535.
% 193.39/30.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.39/30.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 193.39/30.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.39/30.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1478) (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_9 = e0
% 193.39/30.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e0)
% 193.39/30.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.39/30.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1478) gives:
% 193.39/30.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.39/30.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 193.39/30.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.39/30.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1479) all_56_4 = e0 & op(e3, e1) = e0
% 193.39/30.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.39/30.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (1411), (1479) are inconsistent by sub-proof
% 193.39/30.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1534.
% 193.39/30.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.39/30.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 193.39/30.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.39/30.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1480) all_56_9 = e0 & op(e3, e0) = e0
% 193.39/30.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.39/30.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1480) implies:
% 193.39/30.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1481) all_56_9 = e0
% 193.39/30.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1482) op(e3, e0) = e0
% 193.39/30.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.39/30.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (212) gives:
% 193.39/30.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.39/30.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 193.39/30.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.39/30.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1483) (all_56_9 = e3 & op(e3, e0) = e3) | (all_56_10 =
% 193.39/30.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e0) = e3)
% 193.39/30.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.39/30.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1483) gives:
% 193.39/30.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.39/30.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 193.39/30.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.39/30.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1484) all_56_9 = e3 & op(e3, e0) = e3
% 193.39/30.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.39/30.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1484) implies:
% 193.39/30.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1485) all_56_9 = e3
% 193.39/30.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.39/30.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (1481), (1485) are inconsistent by sub-proof
% 193.39/30.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1533.
% 193.39/30.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.39/30.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 193.39/30.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.39/30.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1486) all_56_10 = e3 & op(e2, e0) = e3
% 193.39/30.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.39/30.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1486) implies:
% 193.39/30.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1487) all_56_10 = e3
% 193.39/30.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.39/30.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1463) gives:
% 193.39/30.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.39/30.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 193.39/30.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.39/30.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1488) ~ (all_50_1 = e2)
% 193.39/30.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.39/30.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (239) gives:
% 193.39/30.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.39/30.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 193.39/30.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.39/30.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1489) (all_57_1 = e2 & ~ (all_57_3 = e3) & ~ (all_57_8
% 193.39/30.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_10 = e2) & ~ (all_57_12 =
% 193.39/30.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_14 = e0) & op(e3, e3) = e2 &
% 193.39/30.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_3 & op(e2, all_57_9) =
% 193.39/30.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_8 & op(e2, all_57_11) = all_57_10 &
% 193.39/30.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_13) = all_57_12 & op(e2,
% 193.39/30.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15) = all_57_14 & op(e2, e3) = all_57_9
% 193.39/30.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = all_57_11 & op(e2, e1) =
% 193.39/30.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_13 & op(e2, e0) = all_57_15 &
% 193.39/30.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_3) & $i(all_57_8) & $i(all_57_9) &
% 193.39/30.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & $i(all_57_11) & $i(all_57_12) &
% 193.39/30.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13) & $i(all_57_14) & $i(all_57_15)) |
% 193.39/30.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e1 & ~ (all_57_5 = e3) & ~
% 193.39/30.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_16 = e3) & ~ (all_57_18 = e2) & ~
% 193.39/30.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_22 = e0) & op(e3,
% 193.39/30.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e1 & op(e3, e1) = all_57_5 & op(e1,
% 193.39/30.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17) = all_57_16 & op(e1, all_57_19) =
% 193.39/30.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_18 & op(e1, all_57_21) = all_57_20 &
% 193.39/30.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_23) = all_57_22 & op(e1, e3) =
% 193.39/30.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e1, e2) = all_57_19 & op(e1, e1)
% 193.39/30.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_21 & op(e1, e0) = all_57_23 &
% 193.39/30.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_16) & $i(all_57_17) &
% 193.39/30.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_19) & $i(all_57_20) &
% 193.39/30.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_22) & $i(all_57_23)) |
% 193.39/30.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e0 & ~ (all_57_7 = e3) & ~
% 193.39/30.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 193.39/30.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) & op(e3,
% 193.39/30.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e0 & op(e3, e0) = all_57_7 & op(e0,
% 193.39/30.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25) = all_57_24 & op(e0, all_57_27) =
% 193.39/30.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e0, all_57_29) = all_57_28 &
% 193.39/30.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_31) = all_57_30 & op(e0, e3) =
% 193.39/30.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_27 & op(e0, e1)
% 193.39/30.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_29 & op(e0, e0) = all_57_31 &
% 193.39/30.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7) & $i(all_57_24) & $i(all_57_25) &
% 193.39/30.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_27) & $i(all_57_28) &
% 193.39/30.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29) & $i(all_57_30) & $i(all_57_31)) |
% 193.39/30.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e3 & ~ (all_57_0 = e3) & ~
% 193.39/30.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e2) & ~ (all_57_4 = e1) & ~
% 193.39/30.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_6 = e0) & ~ (all_57_9 = e2) & op(e3,
% 193.39/30.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1) = all_57_0 & op(e3, all_57_3) =
% 193.39/30.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_2 & op(e3, all_57_5) = all_57_4 & op(e3,
% 193.39/30.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7) = all_57_6 & op(e3, e3) = all_57_1 &
% 193.39/30.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_3 & op(e3, e1) = all_57_5 &
% 193.39/30.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_7 & op(e2, e3) = all_57_9 &
% 193.39/30.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e3 & $i(all_57_0) & $i(all_57_1) &
% 193.39/30.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_2) & $i(all_57_3) & $i(all_57_4) &
% 193.39/30.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 193.39/30.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9))
% 193.39/30.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.39/30.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1489) gives:
% 193.39/30.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.39/30.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 193.39/30.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.39/30.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1490) (all_57_1 = e2 & ~ (all_57_3 = e3) & ~ (all_57_8
% 193.39/30.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_10 = e2) & ~ (all_57_12 =
% 193.39/30.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_14 = e0) & op(e3, e3) = e2 &
% 193.39/30.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_3 & op(e2, all_57_9) =
% 193.39/30.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_8 & op(e2, all_57_11) = all_57_10 &
% 193.39/30.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_13) = all_57_12 & op(e2,
% 193.39/30.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15) = all_57_14 & op(e2, e3) = all_57_9
% 193.39/30.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = all_57_11 & op(e2, e1) =
% 193.39/30.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_13 & op(e2, e0) = all_57_15 &
% 193.39/30.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_3) & $i(all_57_8) & $i(all_57_9) &
% 193.39/30.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & $i(all_57_11) & $i(all_57_12) &
% 193.39/30.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13) & $i(all_57_14) & $i(all_57_15)) |
% 193.39/30.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e1 & ~ (all_57_5 = e3) & ~
% 193.39/30.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_16 = e3) & ~ (all_57_18 = e2) & ~
% 193.39/30.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_22 = e0) & op(e3,
% 193.39/30.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e1 & op(e3, e1) = all_57_5 & op(e1,
% 193.39/30.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17) = all_57_16 & op(e1, all_57_19) =
% 193.39/30.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_18 & op(e1, all_57_21) = all_57_20 &
% 193.39/30.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_23) = all_57_22 & op(e1, e3) =
% 193.39/30.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e1, e2) = all_57_19 & op(e1, e1)
% 193.39/30.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_21 & op(e1, e0) = all_57_23 &
% 193.39/30.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_16) & $i(all_57_17) &
% 193.39/30.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_19) & $i(all_57_20) &
% 193.39/30.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_22) & $i(all_57_23))
% 193.39/30.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.39/30.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1490) gives:
% 193.39/30.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.39/30.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 193.39/30.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.39/30.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1491) all_57_1 = e2 & ~ (all_57_3 = e3) & ~ (all_57_8
% 193.39/30.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_10 = e2) & ~ (all_57_12 =
% 193.39/30.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_14 = e0) & op(e3, e3) = e2 &
% 193.39/30.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_3 & op(e2, all_57_9) =
% 193.39/30.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_8 & op(e2, all_57_11) = all_57_10 & op(e2,
% 193.39/30.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_13) = all_57_12 & op(e2, all_57_15) =
% 193.39/30.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_14 & op(e2, e3) = all_57_9 & op(e2, e2) =
% 193.39/30.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_11 & op(e2, e1) = all_57_13 & op(e2, e0) =
% 193.39/30.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15 & $i(all_57_3) & $i(all_57_8) &
% 193.39/30.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9) & $i(all_57_10) & $i(all_57_11) &
% 193.39/30.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & $i(all_57_13) & $i(all_57_14) &
% 193.39/30.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15)
% 193.39/30.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.39/30.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1491) implies:
% 193.39/30.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1492) op(e3, e3) = e2
% 193.39/30.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.39/30.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (1008), (1492), (function-axioms) are
% 193.39/30.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1966.
% 193.39/30.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.39/30.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 193.39/30.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.39/30.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1493) all_57_1 = e1 & ~ (all_57_5 = e3) & ~ (all_57_16
% 193.39/30.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_18 = e2) & ~ (all_57_20 =
% 193.39/30.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_22 = e0) & op(e3, e3) = e1 &
% 193.39/30.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_57_5 & op(e1, all_57_17) =
% 193.39/30.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_16 & op(e1, all_57_19) = all_57_18 & op(e1,
% 193.39/30.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_21) = all_57_20 & op(e1, all_57_23) =
% 193.39/30.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_22 & op(e1, e3) = all_57_17 & op(e1, e2) =
% 193.39/30.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_19 & op(e1, e1) = all_57_21 & op(e1, e0) =
% 193.39/30.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23 & $i(all_57_5) & $i(all_57_16) &
% 193.39/30.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_17) & $i(all_57_18) & $i(all_57_19) &
% 193.39/30.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_20) & $i(all_57_21) & $i(all_57_22) &
% 193.39/30.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23)
% 193.39/30.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.39/30.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1493) implies:
% 193.39/30.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1494) op(e3, e1) = all_57_5
% 193.39/30.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.39/30.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e2, all_57_5,
% 193.39/30.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1, e3, simplifying with (1412), (1494) gives:
% 193.39/30.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1495) all_57_5 = e2
% 193.39/30.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.39/30.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_50_1,
% 193.39/30.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_5, e1, e3, simplifying with (1462), (1494)
% 193.39/30.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 193.39/30.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1496) all_57_5 = all_50_1
% 193.39/30.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.39/30.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1495), (1496) imply:
% 193.39/30.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1497) all_50_1 = e2
% 193.39/30.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.39/30.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1488), (1497) imply:
% 193.39/30.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1498) $false
% 193.39/30.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.39/30.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1498) is inconsistent.
% 193.39/30.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.39/30.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 193.39/30.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.39/30.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 193.39/30.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.39/30.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1499) (all_57_1 = e0 & ~ (all_57_7 = e3) & ~
% 193.39/30.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 193.39/30.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) & op(e3,
% 193.39/30.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e0 & op(e3, e0) = all_57_7 & op(e0,
% 193.39/30.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25) = all_57_24 & op(e0, all_57_27) =
% 193.39/30.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e0, all_57_29) = all_57_28 &
% 193.39/30.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_31) = all_57_30 & op(e0, e3) =
% 193.39/30.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_27 & op(e0, e1)
% 193.39/30.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_29 & op(e0, e0) = all_57_31 &
% 193.39/30.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7) & $i(all_57_24) & $i(all_57_25) &
% 193.39/30.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_27) & $i(all_57_28) &
% 193.39/30.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29) & $i(all_57_30) & $i(all_57_31)) |
% 193.39/30.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e3 & ~ (all_57_0 = e3) & ~
% 193.39/30.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e2) & ~ (all_57_4 = e1) & ~
% 193.39/30.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_6 = e0) & ~ (all_57_9 = e2) & op(e3,
% 193.39/30.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1) = all_57_0 & op(e3, all_57_3) =
% 193.39/30.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_2 & op(e3, all_57_5) = all_57_4 & op(e3,
% 193.39/30.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7) = all_57_6 & op(e3, e3) = all_57_1 &
% 193.39/30.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_3 & op(e3, e1) = all_57_5 &
% 193.39/30.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_7 & op(e2, e3) = all_57_9 &
% 193.39/30.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e3 & $i(all_57_0) & $i(all_57_1) &
% 193.39/30.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_2) & $i(all_57_3) & $i(all_57_4) &
% 193.39/30.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 193.39/30.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9))
% 193.39/30.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.39/30.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (1008), (1482), (1499), (function-axioms) are
% 193.39/30.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1532.
% 193.39/30.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.39/30.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 193.39/30.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.39/30.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 193.39/30.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.39/30.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1500) (all_57_11 = e1 & ~ (all_57_13 = e2) & ~
% 193.39/30.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_16 = e3) & ~ (all_57_18 = e2) & ~
% 193.39/30.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_22 = e0) & op(e2,
% 193.39/30.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e1 & op(e2, e1) = all_57_13 & op(e1,
% 193.39/30.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17) = all_57_16 & op(e1, all_57_19) =
% 193.39/30.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_18 & op(e1, all_57_21) = all_57_20 &
% 193.39/30.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_23) = all_57_22 & op(e1, e3) =
% 193.39/30.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e1, e2) = all_57_19 & op(e1, e1)
% 193.39/30.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_21 & op(e1, e0) = all_57_23 &
% 193.39/30.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13) & $i(all_57_16) & $i(all_57_17) &
% 193.39/30.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_19) & $i(all_57_20) &
% 193.39/30.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_22) & $i(all_57_23)) |
% 193.39/30.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e0 & ~ (all_57_15 = e2) & ~
% 193.39/30.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 193.39/30.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) & op(e2,
% 193.39/30.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e0 & op(e2, e0) = all_57_15 & op(e0,
% 193.39/30.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25) = all_57_24 & op(e0, all_57_27) =
% 193.39/30.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e0, all_57_29) = all_57_28 &
% 193.39/30.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_31) = all_57_30 & op(e0, e3) =
% 193.39/30.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_27 & op(e0, e1)
% 193.39/30.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_29 & op(e0, e0) = all_57_31 &
% 193.39/30.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & $i(all_57_24) & $i(all_57_25) &
% 193.39/30.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_27) & $i(all_57_28) &
% 193.39/30.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29) & $i(all_57_30) & $i(all_57_31)) |
% 193.39/30.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e3 & ~ (all_57_0 = e3) & ~
% 193.39/30.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e2) & ~ (all_57_4 = e1) & ~
% 193.39/30.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_6 = e0) & ~ (all_57_17 = e1) & op(e3,
% 193.39/30.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1) = all_57_0 & op(e3, all_57_3) =
% 193.39/30.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_2 & op(e3, all_57_5) = all_57_4 & op(e3,
% 193.39/30.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7) = all_57_6 & op(e3, e3) = all_57_1 &
% 193.39/30.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_3 & op(e3, e1) = all_57_5 &
% 193.39/30.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_7 & op(e1, e3) = all_57_17 &
% 193.39/30.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e3 & $i(all_57_0) & $i(all_57_1) &
% 193.39/30.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_2) & $i(all_57_3) & $i(all_57_4) &
% 193.39/30.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 193.39/30.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_17)) | (all_57_21 = e2 & ~ (all_57_8
% 193.39/30.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_10 = e2) & ~ (all_57_12 =
% 193.39/30.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_14 = e0) & ~ (all_57_19 =
% 193.39/30.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & op(e2, all_57_9) = all_57_8 & op(e2,
% 193.39/30.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_11) = all_57_10 & op(e2, all_57_13) =
% 193.39/30.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & op(e2, all_57_15) = all_57_14 &
% 193.39/30.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_9 & op(e2, e2) = all_57_11 &
% 193.39/30.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_57_13 & op(e2, e0) = all_57_15
% 193.39/30.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = all_57_19 & op(e1, e1) = e2 &
% 193.39/30.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8) & $i(all_57_9) & $i(all_57_10) &
% 193.39/30.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_12) & $i(all_57_13) &
% 193.39/30.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & $i(all_57_15) & $i(all_57_19)) |
% 193.39/30.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (op(e0, e0) = all_57_31 & $i(all_57_31) &
% 193.39/30.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_21 = e0 & ~ (all_57_23 = e1) & ~
% 193.39/30.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 193.39/30.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) &
% 193.39/30.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = all_57_23 &
% 193.39/30.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_25) = all_57_24 & op(e0,
% 193.39/30.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27) = all_57_26 & op(e0, all_57_29)
% 193.39/30.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_28 & op(e0, all_57_31) = all_57_30
% 193.39/30.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e3) = all_57_25 & op(e0, e2) =
% 193.39/30.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27 & op(e0, e1) = all_57_29 &
% 193.39/30.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23) & $i(all_57_24) &
% 193.39/30.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_25) & $i(all_57_26) &
% 193.39/30.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27) & $i(all_57_28) &
% 193.39/30.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29) & $i(all_57_30)) | (all_57_31
% 193.39/30.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & ~ (all_57_0 = e3) & ~ (all_57_2 =
% 193.39/30.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_4 = e1) & ~ (all_57_6 =
% 193.39/30.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_25 = e0) & op(e3,
% 193.39/30.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1) = all_57_0 & op(e3, all_57_3) =
% 193.39/30.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_2 & op(e3, all_57_5) = all_57_4 &
% 193.39/30.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, all_57_7) = all_57_6 & op(e3, e3) =
% 193.39/30.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e2) = all_57_3 & op(e3,
% 193.39/30.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_5 & op(e3, e0) = all_57_7 &
% 193.39/30.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_25 & $i(all_57_0) &
% 193.39/30.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_2) & $i(all_57_3) &
% 193.39/30.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4) & $i(all_57_5) & $i(all_57_6) &
% 193.39/30.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7) & $i(all_57_25)) | (all_57_31 =
% 193.39/30.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_8 = e3) & ~ (all_57_10 =
% 193.39/30.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_12 = e1) & ~ (all_57_14
% 193.39/30.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_27 = e0) & op(e2,
% 193.39/30.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_9) = all_57_8 & op(e2, all_57_11) =
% 193.39/30.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e2, all_57_13) = all_57_12 &
% 193.39/30.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_15) = all_57_14 & op(e2, e3) =
% 193.39/30.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_9 & op(e2, e2) = all_57_11 & op(e2,
% 193.39/30.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_13 & op(e2, e0) = all_57_15 &
% 193.39/30.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_27 & $i(all_57_8) &
% 193.39/30.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9) & $i(all_57_10) & $i(all_57_11)
% 193.39/30.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_12) & $i(all_57_13) &
% 193.39/30.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & $i(all_57_15) &
% 193.39/30.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27)) | (all_57_31 = e1 & ~
% 193.39/30.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_16 = e3) & ~ (all_57_18 = e2) & ~
% 193.39/30.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_22 = e0) & ~
% 193.39/30.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_29 = e0) & op(e1, all_57_17) =
% 193.39/30.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_16 & op(e1, all_57_19) = all_57_18 &
% 193.39/30.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_21) = all_57_20 & op(e1,
% 193.39/30.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23) = all_57_22 & op(e1, e3) =
% 193.39/30.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e1, e2) = all_57_19 & op(e1,
% 193.39/30.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_21 & op(e1, e0) = all_57_23 &
% 193.39/30.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = all_57_29 & $i(all_57_16) &
% 193.39/30.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_17) & $i(all_57_18) &
% 193.39/30.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_20) &
% 193.39/30.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_22) &
% 193.39/30.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23) & $i(all_57_29))))
% 193.39/30.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.39/30.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1500) gives:
% 193.39/30.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.39/30.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 193.39/30.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.39/30.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1501) (all_57_11 = e1 & ~ (all_57_13 = e2) & ~
% 193.39/30.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_16 = e3) & ~ (all_57_18 = e2) & ~
% 193.39/30.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_22 = e0) & op(e2,
% 193.39/30.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e1 & op(e2, e1) = all_57_13 & op(e1,
% 193.39/30.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17) = all_57_16 & op(e1, all_57_19) =
% 193.39/30.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_18 & op(e1, all_57_21) = all_57_20 &
% 193.39/30.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_23) = all_57_22 & op(e1, e3) =
% 193.39/30.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e1, e2) = all_57_19 & op(e1, e1)
% 193.39/30.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_21 & op(e1, e0) = all_57_23 &
% 193.39/30.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13) & $i(all_57_16) & $i(all_57_17) &
% 193.39/30.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_19) & $i(all_57_20) &
% 193.39/30.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_22) & $i(all_57_23)) |
% 193.39/30.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e0 & ~ (all_57_15 = e2) & ~
% 193.39/30.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 193.39/30.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) & op(e2,
% 193.39/30.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e0 & op(e2, e0) = all_57_15 & op(e0,
% 193.39/30.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25) = all_57_24 & op(e0, all_57_27) =
% 193.39/30.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e0, all_57_29) = all_57_28 &
% 193.39/30.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_31) = all_57_30 & op(e0, e3) =
% 193.39/30.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_27 & op(e0, e1)
% 193.39/30.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_29 & op(e0, e0) = all_57_31 &
% 193.39/30.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & $i(all_57_24) & $i(all_57_25) &
% 193.39/30.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_27) & $i(all_57_28) &
% 193.39/30.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29) & $i(all_57_30) & $i(all_57_31))
% 193.39/30.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.39/30.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (396), (1446), (1501), (function-axioms) are
% 193.39/30.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1629.
% 193.39/30.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.39/30.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 193.39/30.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.39/30.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1502) (all_57_21 = e3 & ~ (all_57_0 = e3) & ~
% 193.39/30.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e2) & ~ (all_57_4 = e1) & ~
% 193.39/30.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_6 = e0) & ~ (all_57_17 = e1) & op(e3,
% 193.39/30.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1) = all_57_0 & op(e3, all_57_3) =
% 193.39/30.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_2 & op(e3, all_57_5) = all_57_4 & op(e3,
% 193.39/30.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7) = all_57_6 & op(e3, e3) = all_57_1 &
% 193.39/30.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_3 & op(e3, e1) = all_57_5 &
% 193.39/30.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_7 & op(e1, e3) = all_57_17 &
% 193.39/30.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e3 & $i(all_57_0) & $i(all_57_1) &
% 193.39/30.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_2) & $i(all_57_3) & $i(all_57_4) &
% 193.39/30.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 193.39/30.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_17)) | (all_57_21 = e2 & ~ (all_57_8
% 193.39/30.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_10 = e2) & ~ (all_57_12 =
% 193.39/30.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_14 = e0) & ~ (all_57_19 =
% 193.39/30.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & op(e2, all_57_9) = all_57_8 & op(e2,
% 193.39/30.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_11) = all_57_10 & op(e2, all_57_13) =
% 193.39/30.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & op(e2, all_57_15) = all_57_14 &
% 193.39/30.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_9 & op(e2, e2) = all_57_11 &
% 193.39/30.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_57_13 & op(e2, e0) = all_57_15
% 193.39/30.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = all_57_19 & op(e1, e1) = e2 &
% 193.39/30.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8) & $i(all_57_9) & $i(all_57_10) &
% 193.39/30.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_12) & $i(all_57_13) &
% 193.39/30.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & $i(all_57_15) & $i(all_57_19)) |
% 193.39/30.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (op(e0, e0) = all_57_31 & $i(all_57_31) &
% 193.39/30.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_21 = e0 & ~ (all_57_23 = e1) & ~
% 193.39/30.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 193.39/30.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) &
% 193.39/30.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = all_57_23 &
% 193.39/30.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_25) = all_57_24 & op(e0,
% 193.39/30.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27) = all_57_26 & op(e0, all_57_29)
% 193.39/30.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_28 & op(e0, all_57_31) = all_57_30
% 193.39/30.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e3) = all_57_25 & op(e0, e2) =
% 193.39/30.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27 & op(e0, e1) = all_57_29 &
% 193.39/30.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23) & $i(all_57_24) &
% 193.39/30.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_25) & $i(all_57_26) &
% 193.39/30.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27) & $i(all_57_28) &
% 193.39/30.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29) & $i(all_57_30)) | (all_57_31
% 193.39/30.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & ~ (all_57_0 = e3) & ~ (all_57_2 =
% 193.39/30.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_4 = e1) & ~ (all_57_6 =
% 193.39/30.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_25 = e0) & op(e3,
% 193.39/30.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1) = all_57_0 & op(e3, all_57_3) =
% 193.39/30.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_2 & op(e3, all_57_5) = all_57_4 &
% 193.39/30.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, all_57_7) = all_57_6 & op(e3, e3) =
% 193.39/30.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e2) = all_57_3 & op(e3,
% 193.39/30.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_5 & op(e3, e0) = all_57_7 &
% 193.39/30.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_25 & $i(all_57_0) &
% 193.39/30.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_2) & $i(all_57_3) &
% 193.39/30.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4) & $i(all_57_5) & $i(all_57_6) &
% 193.39/30.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7) & $i(all_57_25)) | (all_57_31 =
% 193.39/30.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_8 = e3) & ~ (all_57_10 =
% 193.39/30.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_12 = e1) & ~ (all_57_14
% 193.39/30.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_27 = e0) & op(e2,
% 193.39/30.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_9) = all_57_8 & op(e2, all_57_11) =
% 193.39/30.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e2, all_57_13) = all_57_12 &
% 193.39/30.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_15) = all_57_14 & op(e2, e3) =
% 193.39/30.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_9 & op(e2, e2) = all_57_11 & op(e2,
% 193.39/30.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_13 & op(e2, e0) = all_57_15 &
% 193.39/30.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_27 & $i(all_57_8) &
% 193.39/30.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9) & $i(all_57_10) & $i(all_57_11)
% 193.39/30.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_12) & $i(all_57_13) &
% 193.39/30.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & $i(all_57_15) &
% 193.39/30.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27)) | (all_57_31 = e1 & ~
% 193.39/30.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_16 = e3) & ~ (all_57_18 = e2) & ~
% 193.39/30.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_22 = e0) & ~
% 193.39/30.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_29 = e0) & op(e1, all_57_17) =
% 193.39/30.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_16 & op(e1, all_57_19) = all_57_18 &
% 193.39/30.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_21) = all_57_20 & op(e1,
% 193.39/30.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23) = all_57_22 & op(e1, e3) =
% 193.39/30.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e1, e2) = all_57_19 & op(e1,
% 193.39/30.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_21 & op(e1, e0) = all_57_23 &
% 193.39/30.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = all_57_29 & $i(all_57_16) &
% 193.39/30.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_17) & $i(all_57_18) &
% 193.39/30.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_20) &
% 193.39/30.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_22) &
% 193.39/30.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23) & $i(all_57_29))))
% 193.39/30.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.39/30.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1502) gives:
% 193.39/30.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.39/30.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 193.39/30.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.39/30.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1503) all_57_21 = e3 & ~ (all_57_0 = e3) & ~ (all_57_2
% 193.39/30.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2) & ~ (all_57_4 = e1) & ~ (all_57_6 = e0)
% 193.39/30.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_17 = e1) & op(e3, all_57_1) =
% 193.39/30.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_0 & op(e3, all_57_3) = all_57_2 & op(e3,
% 193.39/30.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_5) = all_57_4 & op(e3, all_57_7) =
% 193.39/30.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_6 & op(e3, e3) = all_57_1 & op(e3, e2) =
% 193.39/30.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 & op(e3, e1) = all_57_5 & op(e3, e0) =
% 193.39/30.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7 & op(e1, e3) = all_57_17 & op(e1, e1) =
% 193.39/30.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & $i(all_57_0) & $i(all_57_1) & $i(all_57_2) &
% 193.39/30.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_3) & $i(all_57_4) & $i(all_57_5) &
% 193.39/30.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_6) & $i(all_57_7) & $i(all_57_17)
% 193.39/30.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.39/30.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1503) implies:
% 193.39/30.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1504) ~ (all_57_6 = e0)
% 193.39/30.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1505) op(e3, e0) = all_57_7
% 193.39/30.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1506) op(e3, all_57_7) = all_57_6
% 193.39/30.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.39/30.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (1482), (1504), (1505), (1506), (function-axioms)
% 193.39/30.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1632.
% 193.39/30.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.39/30.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 193.39/30.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.39/30.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1507) (all_57_21 = e2 & ~ (all_57_8 = e3) & ~
% 193.39/30.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e2) & ~ (all_57_12 = e1) & ~
% 193.39/30.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e0) & ~ (all_57_19 = e1) & op(e2,
% 193.39/30.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_9) = all_57_8 & op(e2, all_57_11) =
% 193.39/30.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e2, all_57_13) = all_57_12 &
% 193.39/30.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_15) = all_57_14 & op(e2, e3) =
% 193.39/30.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_9 & op(e2, e2) = all_57_11 & op(e2, e1) =
% 193.39/30.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_13 & op(e2, e0) = all_57_15 & op(e1, e2)
% 193.39/30.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_19 & op(e1, e1) = e2 & $i(all_57_8) &
% 193.39/30.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9) & $i(all_57_10) & $i(all_57_11) &
% 193.39/30.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & $i(all_57_13) & $i(all_57_14) &
% 193.39/30.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & $i(all_57_19)) | (op(e0, e0) =
% 193.39/30.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_31 & $i(all_57_31) & ((all_57_21 = e0 &
% 193.39/30.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_23 = e1) & ~ (all_57_24 = e3) &
% 193.39/30.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_26 = e2) & ~ (all_57_28 = e1) &
% 193.39/30.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_30 = e0) & op(e1, e1) = e0 &
% 193.39/30.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_23 & op(e0, all_57_25) =
% 193.39/30.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_24 & op(e0, all_57_27) = all_57_26 &
% 193.39/30.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_29) = all_57_28 & op(e0,
% 193.39/30.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_31) = all_57_30 & op(e0, e3) =
% 193.39/30.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_27 & op(e0,
% 193.39/30.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_29 & $i(all_57_23) &
% 193.39/30.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_24) & $i(all_57_25) &
% 193.39/30.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_27) &
% 193.39/30.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28) & $i(all_57_29) &
% 193.39/30.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_31 = e3 & ~
% 193.39/30.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_0 = e3) & ~ (all_57_2 = e2) & ~
% 193.39/30.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1) & ~ (all_57_6 = e0) & ~
% 193.39/30.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_25 = e0) & op(e3, all_57_1) =
% 193.39/30.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_0 & op(e3, all_57_3) = all_57_2 &
% 193.39/30.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, all_57_5) = all_57_4 & op(e3,
% 193.39/30.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7) = all_57_6 & op(e3, e3) =
% 193.39/30.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e2) = all_57_3 & op(e3,
% 193.39/30.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_5 & op(e3, e0) = all_57_7 &
% 193.39/30.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_25 & $i(all_57_0) &
% 193.39/30.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_2) & $i(all_57_3) &
% 193.39/30.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4) & $i(all_57_5) & $i(all_57_6) &
% 193.39/30.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7) & $i(all_57_25)) | (all_57_31 =
% 193.39/30.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_8 = e3) & ~ (all_57_10 =
% 193.39/30.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_12 = e1) & ~ (all_57_14
% 193.39/30.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_27 = e0) & op(e2,
% 193.39/30.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_9) = all_57_8 & op(e2, all_57_11) =
% 193.39/30.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e2, all_57_13) = all_57_12 &
% 193.39/30.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_15) = all_57_14 & op(e2, e3) =
% 193.39/30.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_9 & op(e2, e2) = all_57_11 & op(e2,
% 193.39/30.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_13 & op(e2, e0) = all_57_15 &
% 193.39/30.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_27 & $i(all_57_8) &
% 193.39/30.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9) & $i(all_57_10) & $i(all_57_11)
% 193.39/30.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_12) & $i(all_57_13) &
% 193.39/30.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & $i(all_57_15) &
% 193.39/30.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27)) | (all_57_31 = e1 & ~
% 193.39/30.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_16 = e3) & ~ (all_57_18 = e2) & ~
% 193.39/30.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_22 = e0) & ~
% 193.39/30.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_29 = e0) & op(e1, all_57_17) =
% 193.39/30.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_16 & op(e1, all_57_19) = all_57_18 &
% 193.39/30.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_21) = all_57_20 & op(e1,
% 193.39/30.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23) = all_57_22 & op(e1, e3) =
% 193.39/30.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e1, e2) = all_57_19 & op(e1,
% 193.39/30.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_21 & op(e1, e0) = all_57_23 &
% 193.39/30.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = all_57_29 & $i(all_57_16) &
% 193.39/30.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_17) & $i(all_57_18) &
% 193.39/30.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_20) &
% 193.39/30.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_22) &
% 193.39/30.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23) & $i(all_57_29))))
% 193.39/30.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.39/30.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (160), (206), (210),
% 193.39/30.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (211), (1402), (1436), (1446), (1468), (1473),
% 193.39/30.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1487), (1507), (function-axioms) are inconsistent
% 193.39/30.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1521.
% 193.39/30.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.39/30.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 193.39/30.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.39/30.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 193.39/30.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.39/30.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 193.39/30.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.39/30.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 193.39/30.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.39/30.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1508) ~ (all_50_0 = e0) & op(e2, e3) = all_50_0 &
% 193.39/30.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_50_0)
% 193.39/30.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.39/30.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1508) implies:
% 193.39/30.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1509) ~ (all_50_0 = e0)
% 193.39/30.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1510) op(e2, e3) = all_50_0
% 193.39/30.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.39/30.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e0, all_50_0,
% 193.39/30.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3, e2, simplifying with (1451), (1510) gives:
% 193.39/30.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1511) all_50_0 = e0
% 193.39/30.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.39/30.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1509), (1511) imply:
% 193.39/30.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1512) $false
% 193.39/30.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.39/30.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1512) is inconsistent.
% 193.39/30.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.39/30.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 193.39/30.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.39/30.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 193.39/30.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.39/30.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 193.39/30.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.39/30.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1513) (all_56_11 = e3 & op(e1, e0) = e3) | (all_56_15 =
% 193.39/30.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = e3)
% 193.39/30.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.39/30.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (160), (1403), (1467), (1513),
% 193.39/30.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 193.39/30.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1761.
% 193.39/30.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.39/30.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 193.39/30.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.39/30.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 193.39/30.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.39/30.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 193.39/30.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.39/30.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 193.39/30.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.39/30.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1514) all_56_3 = e3 & op(e2, e2) = e3
% 193.39/30.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.39/30.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1514) implies:
% 193.39/30.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1515) op(e2, e2) = e3
% 193.39/30.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.39/30.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (396), (1515), (function-axioms) are
% 193.39/30.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1963.
% 193.39/30.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.39/30.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 193.39/30.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.39/30.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 193.39/30.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.39/30.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1516) (all_56_7 = e3 & op(e1, e2) = e3) | (all_56_13 =
% 193.39/30.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e2) = e3)
% 193.39/30.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.39/30.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1516) gives:
% 193.39/30.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.39/30.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 193.39/30.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.39/30.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1517) all_56_7 = e3 & op(e1, e2) = e3
% 193.39/30.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.39/30.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (162), (1466), (1517), (function-axioms) are
% 193.39/30.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1827.
% 193.39/30.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.39/30.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 193.39/30.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.39/30.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1518) all_56_13 = e3 & op(e0, e2) = e3
% 193.39/30.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.39/30.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1518) implies:
% 193.39/30.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1519) all_56_13 = e3
% 193.39/30.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.39/30.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1441), (1519) imply:
% 193.39/30.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1520) e3 = e1
% 193.39/30.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.39/30.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1520) implies:
% 193.39/30.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1521) e3 = e1
% 193.39/30.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.39/30.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1445), (1521) imply:
% 193.39/30.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1522) all_56_12 = e1
% 193.39/30.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.39/30.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (45), (209), (229),
% 193.39/30.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (233), (235), (376), (1008), (1435), (1519),
% 193.39/30.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1522), (function-axioms) are inconsistent by
% 193.39/30.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1539.
% 193.39/30.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.39/30.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 193.39/30.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.39/30.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 193.39/30.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.39/30.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 193.39/30.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.39/30.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 193.39/30.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.39/30.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1523) (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_14 =
% 193.39/30.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e1) = e1)
% 193.39/30.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.39/30.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (8), (1435), (1468), (1523),
% 193.39/30.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 193.39/30.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1519.
% 193.39/30.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.39/30.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 193.39/30.46 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.39/30.46 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 193.39/30.46 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.39/30.46 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 193.39/30.46 | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.39/30.46 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 193.39/30.46 | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.39/30.46 | | | | | | | | | | | | | | | | | | | | | | | | | (1524) (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 =
% 193.39/30.46 | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e3) = e0)
% 193.39/30.46 | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.39/30.46 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (7), (1406), (1446), (1524),
% 193.39/30.46 | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 193.39/30.46 | | | | | | | | | | | | | | | | | | | | | | | | | #1876.
% 193.39/30.46 | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.39/30.46 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 193.39/30.46 | | | | | | | | | | | | | | | | | | | | | | | |
% 193.39/30.46 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 193.39/30.46 | | | | | | | | | | | | | | | | | | | | | | | |
% 193.39/30.46 | | | | | | | | | | | | | | | | | | | | | | | | (1525) all_56_13 = e3 & op(e0, e2) = e3
% 193.39/30.46 | | | | | | | | | | | | | | | | | | | | | | | |
% 193.39/30.46 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (1441), (1525) are inconsistent by sub-proof
% 193.39/30.46 | | | | | | | | | | | | | | | | | | | | | | | | #1544.
% 193.39/30.46 | | | | | | | | | | | | | | | | | | | | | | | |
% 193.39/30.46 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 193.39/30.46 | | | | | | | | | | | | | | | | | | | | | | |
% 193.39/30.46 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 193.39/30.46 | | | | | | | | | | | | | | | | | | | | | | |
% 193.39/30.46 | | | | | | | | | | | | | | | | | | | | | | | (1526) (all_56_14 = e3 & op(e0, e1) = e3) | (all_56_15 =
% 193.39/30.46 | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = e3)
% 193.39/30.46 | | | | | | | | | | | | | | | | | | | | | | |
% 193.39/30.46 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (9), (1403), (1435), (1526),
% 193.39/30.46 | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 193.39/30.46 | | | | | | | | | | | | | | | | | | | | | | | #1538.
% 193.39/30.46 | | | | | | | | | | | | | | | | | | | | | | |
% 193.39/30.46 | | | | | | | | | | | | | | | | | | | | | | End of split
% 193.39/30.46 | | | | | | | | | | | | | | | | | | | | | |
% 193.39/30.46 | | | | | | | | | | | | | | | | | | | | | End of split
% 193.39/30.46 | | | | | | | | | | | | | | | | | | | | |
% 193.39/30.46 | | | | | | | | | | | | | | | | | | | | Case 2:
% 193.39/30.46 | | | | | | | | | | | | | | | | | | | | |
% 193.39/30.46 | | | | | | | | | | | | | | | | | | | | | (1527) (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 =
% 193.39/30.46 | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = e1)
% 193.39/30.46 | | | | | | | | | | | | | | | | | | | | |
% 193.39/30.46 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1527) gives:
% 193.39/30.46 | | | | | | | | | | | | | | | | | | | | |
% 193.39/30.46 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 193.39/30.46 | | | | | | | | | | | | | | | | | | | | | |
% 193.39/30.46 | | | | | | | | | | | | | | | | | | | | | | (1528) all_56_14 = e1 & op(e0, e1) = e1
% 193.39/30.46 | | | | | | | | | | | | | | | | | | | | | |
% 193.39/30.46 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (1435), (1528) are inconsistent by sub-proof
% 193.39/30.46 | | | | | | | | | | | | | | | | | | | | | | #1518.
% 193.39/30.46 | | | | | | | | | | | | | | | | | | | | | |
% 193.39/30.46 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 193.39/30.46 | | | | | | | | | | | | | | | | | | | | | |
% 193.39/30.46 | | | | | | | | | | | | | | | | | | | | | | (1529) all_56_15 = e1 & op(e0, e0) = e1
% 193.39/30.46 | | | | | | | | | | | | | | | | | | | | | |
% 193.39/30.46 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1529) implies:
% 193.39/30.46 | | | | | | | | | | | | | | | | | | | | | | (1530) op(e0, e0) = e1
% 193.39/30.46 | | | | | | | | | | | | | | | | | | | | | |
% 193.39/30.46 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (1403), (1530), (function-axioms) are
% 193.39/30.46 | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1843.
% 193.39/30.46 | | | | | | | | | | | | | | | | | | | | | |
% 193.39/30.46 | | | | | | | | | | | | | | | | | | | | | End of split
% 193.39/30.46 | | | | | | | | | | | | | | | | | | | | |
% 193.39/30.46 | | | | | | | | | | | | | | | | | | | | End of split
% 193.39/30.46 | | | | | | | | | | | | | | | | | | | |
% 193.39/30.46 | | | | | | | | | | | | | | | | | | | End of split
% 193.39/30.46 | | | | | | | | | | | | | | | | | | |
% 193.39/30.46 | | | | | | | | | | | | | | | | | | End of split
% 193.39/30.46 | | | | | | | | | | | | | | | | | |
% 193.39/30.46 | | | | | | | | | | | | | | | | | End of split
% 193.39/30.46 | | | | | | | | | | | | | | | | |
% 193.39/30.46 | | | | | | | | | | | | | | | | Case 2:
% 193.39/30.46 | | | | | | | | | | | | | | | | |
% 193.39/30.46 | | | | | | | | | | | | | | | | | (1531) all_56_9 = e2 & op(e3, e0) = e2
% 193.39/30.46 | | | | | | | | | | | | | | | | |
% 193.39/30.46 | | | | | | | | | | | | | | | | | REF_CLOSE: (168), (1401), (1531), (function-axioms) are
% 193.39/30.46 | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1760.
% 193.39/30.46 | | | | | | | | | | | | | | | | |
% 193.39/30.46 | | | | | | | | | | | | | | | | End of split
% 193.39/30.46 | | | | | | | | | | | | | | | |
% 193.39/30.46 | | | | | | | | | | | | | | | End of split
% 193.39/30.46 | | | | | | | | | | | | | | |
% 193.39/30.46 | | | | | | | | | | | | | | Case 2:
% 193.39/30.46 | | | | | | | | | | | | | | |
% 193.39/30.46 | | | | | | | | | | | | | | | (1532) all_56_7 = e2 & op(e1, e2) = e2
% 193.39/30.46 | | | | | | | | | | | | | | |
% 193.39/30.46 | | | | | | | | | | | | | | | ALPHA: (1532) implies:
% 193.39/30.46 | | | | | | | | | | | | | | | (1533) op(e1, e2) = e2
% 193.39/30.46 | | | | | | | | | | | | | | |
% 193.39/30.46 | | | | | | | | | | | | | | | REF_CLOSE: (162), (391), (1533), (function-axioms) are
% 193.39/30.46 | | | | | | | | | | | | | | | inconsistent by sub-proof #1970.
% 193.39/30.46 | | | | | | | | | | | | | | |
% 193.39/30.46 | | | | | | | | | | | | | | End of split
% 193.39/30.46 | | | | | | | | | | | | | |
% 193.39/30.46 | | | | | | | | | | | | | Case 2:
% 193.39/30.46 | | | | | | | | | | | | | |
% 193.39/30.46 | | | | | | | | | | | | | | (1534) (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_11 =
% 193.39/30.46 | | | | | | | | | | | | | | e2 & op(e1, e0) = e2)
% 193.39/30.46 | | | | | | | | | | | | | |
% 193.39/30.46 | | | | | | | | | | | | | | REF_CLOSE: (36), (160), (375), (1402), (1534),
% 193.39/30.46 | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 193.39/30.46 | | | | | | | | | | | | | | #1757.
% 193.39/30.46 | | | | | | | | | | | | | |
% 193.39/30.46 | | | | | | | | | | | | | End of split
% 193.39/30.46 | | | | | | | | | | | | |
% 193.39/30.46 | | | | | | | | | | | | End of split
% 193.39/30.46 | | | | | | | | | | | |
% 193.39/30.46 | | | | | | | | | | | End of split
% 193.39/30.46 | | | | | | | | | | |
% 193.39/30.46 | | | | | | | | | | End of split
% 193.39/30.46 | | | | | | | | | |
% 193.39/30.46 | | | | | | | | | Case 2:
% 193.39/30.46 | | | | | | | | | |
% 193.39/30.46 | | | | | | | | | | (1535) all_54_5 = e1 | all_54_5 = e0
% 193.39/30.46 | | | | | | | | | |
% 193.39/30.46 | | | | | | | | | | REF_CLOSE: (268), (373), (381), (1535) are inconsistent by
% 193.39/30.46 | | | | | | | | | | sub-proof #1517.
% 193.39/30.46 | | | | | | | | | |
% 193.39/30.46 | | | | | | | | | End of split
% 193.39/30.46 | | | | | | | | |
% 193.39/30.46 | | | | | | | | End of split
% 193.39/30.46 | | | | | | | |
% 193.39/30.46 | | | | | | | Case 2:
% 193.39/30.46 | | | | | | | |
% 193.39/30.46 | | | | | | | | (1536) all_20_2 = e0
% 193.39/30.46 | | | | | | | | (1537) op(e0, e2) = all_20_1 & $i(all_20_1) & ( ~ (all_20_1 =
% 193.39/30.46 | | | | | | | | e3) | ( ~ (all_20_0 = e1) & op(e3, e0) = all_20_0
% 193.39/30.46 | | | | | | | | & $i(all_20_0)))
% 193.39/30.46 | | | | | | | |
% 193.39/30.46 | | | | | | | | ALPHA: (1537) implies:
% 193.39/30.46 | | | | | | | | (1538) op(e0, e2) = all_20_1
% 193.39/30.46 | | | | | | | | (1539) ~ (all_20_1 = e3) | ( ~ (all_20_0 = e1) & op(e3, e0)
% 193.39/30.46 | | | | | | | | = all_20_0 & $i(all_20_0))
% 193.39/30.46 | | | | | | | |
% 193.39/30.46 | | | | | | | | COMBINE_EQS: (283), (1536) imply:
% 193.39/30.46 | | | | | | | | (1540) all_6_2 = e0
% 193.39/30.46 | | | | | | | |
% 193.39/30.46 | | | | | | | | SIMP: (1540) implies:
% 193.39/30.46 | | | | | | | | (1541) all_6_2 = e0
% 193.39/30.46 | | | | | | | |
% 193.39/30.46 | | | | | | | | COMBINE_EQS: (331), (1541) imply:
% 193.39/30.46 | | | | | | | | (1542) all_26_2 = e0
% 193.39/30.46 | | | | | | | |
% 193.39/30.46 | | | | | | | | REDUCE: (348), (1541) imply:
% 193.39/30.46 | | | | | | | | (1543) ~ (all_52_1 = e0)
% 193.39/30.46 | | | | | | | |
% 193.39/30.46 | | | | | | | | REDUCE: (351), (1541) imply:
% 193.39/30.46 | | | | | | | | (1544) ~ (all_52_4 = e0)
% 193.39/30.46 | | | | | | | |
% 193.39/30.46 | | | | | | | | REDUCE: (353), (1541) imply:
% 193.39/30.46 | | | | | | | | (1545) ~ (all_52_6 = e0)
% 193.39/30.46 | | | | | | | |
% 193.39/30.46 | | | | | | | | REDUCE: (355), (1541) imply:
% 193.39/30.46 | | | | | | | | (1546) ~ (all_52_7 = e0)
% 193.39/30.46 | | | | | | | |
% 193.39/30.46 | | | | | | | | REDUCE: (357), (1541) imply:
% 193.39/30.46 | | | | | | | | (1547) ~ (all_52_9 = e0)
% 193.39/30.46 | | | | | | | |
% 193.39/30.46 | | | | | | | | REDUCE: (359), (1541) imply:
% 193.39/30.46 | | | | | | | | (1548) ~ (all_52_13 = e0)
% 193.39/30.46 | | | | | | | |
% 193.39/30.46 | | | | | | | | REDUCE: (379), (1541) imply:
% 193.39/30.46 | | | | | | | | (1549) ~ (e3 = e0)
% 193.39/30.46 | | | | | | | |
% 193.39/30.46 | | | | | | | | REDUCE: (373), (1541) imply:
% 193.39/30.46 | | | | | | | | (1550) ~ (e1 = e0)
% 193.39/30.46 | | | | | | | |
% 193.39/30.46 | | | | | | | | REDUCE: (39), (1541) imply:
% 193.39/30.46 | | | | | | | | (1551) op(e2, e2) = e0
% 193.39/30.46 | | | | | | | |
% 193.39/30.46 | | | | | | | | BETA: splitting (70) gives:
% 193.39/30.46 | | | | | | | |
% 193.39/30.46 | | | | | | | | Case 1:
% 193.39/30.46 | | | | | | | | |
% 193.39/30.46 | | | | | | | | | (1552) ~ (all_26_2 = e0)
% 193.39/30.46 | | | | | | | | |
% 193.39/30.46 | | | | | | | | | REDUCE: (1542), (1552) imply:
% 193.39/30.46 | | | | | | | | | (1553) $false
% 193.39/30.46 | | | | | | | | |
% 193.39/30.46 | | | | | | | | | CLOSE: (1553) is inconsistent.
% 193.39/30.46 | | | | | | | | |
% 193.39/30.46 | | | | | | | | Case 2:
% 193.39/30.46 | | | | | | | | |
% 193.39/30.46 | | | | | | | | | (1554) op(e0, e2) = all_26_1 & $i(all_26_1) & ( ~ (all_26_1
% 193.39/30.46 | | | | | | | | | = e1) | ( ~ (all_26_0 = e3) & op(e1, e0) =
% 193.39/30.46 | | | | | | | | | all_26_0 & $i(all_26_0)))
% 193.39/30.46 | | | | | | | | |
% 193.39/30.46 | | | | | | | | | ALPHA: (1554) implies:
% 193.39/30.46 | | | | | | | | | (1555) op(e0, e2) = all_26_1
% 193.39/30.46 | | | | | | | | | (1556) ~ (all_26_1 = e1) | ( ~ (all_26_0 = e3) & op(e1,
% 193.39/30.46 | | | | | | | | | e0) = all_26_0 & $i(all_26_0))
% 193.39/30.46 | | | | | | | | |
% 193.39/30.46 | | | | | | | | | BETA: splitting (221) gives:
% 193.39/30.46 | | | | | | | | |
% 193.39/30.46 | | | | | | | | | Case 1:
% 193.39/30.46 | | | | | | | | | |
% 193.39/30.46 | | | | | | | | | | (1557) (all_56_2 = e0 & op(e2, e3) = e0) | (all_56_3 = e0
% 193.39/30.46 | | | | | | | | | | & op(e2, e2) = e0)
% 193.39/30.46 | | | | | | | | | |
% 193.39/30.46 | | | | | | | | | | BETA: splitting (1557) gives:
% 193.39/30.46 | | | | | | | | | |
% 193.39/30.46 | | | | | | | | | | Case 1:
% 193.39/30.46 | | | | | | | | | | |
% 193.39/30.46 | | | | | | | | | | | (1558) all_56_2 = e0 & op(e2, e3) = e0
% 193.39/30.46 | | | | | | | | | | |
% 193.39/30.46 | | | | | | | | | | | ALPHA: (1558) implies:
% 193.39/30.46 | | | | | | | | | | | (1559) all_56_2 = e0
% 193.39/30.46 | | | | | | | | | | |
% 193.39/30.46 | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (158), (162), (222),
% 193.39/30.46 | | | | | | | | | | | (223), (224), (225), (226), (227), (228), (1545),
% 193.39/30.46 | | | | | | | | | | | (1546), (1551), (1559), (function-axioms) are
% 193.39/30.46 | | | | | | | | | | | inconsistent by sub-proof #1485.
% 193.39/30.46 | | | | | | | | | | |
% 193.39/30.46 | | | | | | | | | | Case 2:
% 193.39/30.46 | | | | | | | | | | |
% 193.39/30.46 | | | | | | | | | | | (1560) all_56_3 = e0 & op(e2, e2) = e0
% 193.39/30.46 | | | | | | | | | | |
% 193.39/30.46 | | | | | | | | | | | ALPHA: (1560) implies:
% 193.39/30.46 | | | | | | | | | | | (1561) all_56_3 = e0
% 193.39/30.46 | | | | | | | | | | |
% 193.39/30.46 | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_7,
% 193.39/30.46 | | | | | | | | | | | all_20_1, e2, e0, simplifying with (158), (1538)
% 193.39/30.46 | | | | | | | | | | | gives:
% 193.39/30.46 | | | | | | | | | | | (1562) all_52_7 = all_20_1
% 193.39/30.46 | | | | | | | | | | |
% 193.39/30.46 | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_7,
% 193.39/30.46 | | | | | | | | | | | all_26_1, e2, e0, simplifying with (158), (1555)
% 193.39/30.46 | | | | | | | | | | | gives:
% 193.39/30.46 | | | | | | | | | | | (1563) all_52_7 = all_26_1
% 193.39/30.46 | | | | | | | | | | |
% 193.39/30.46 | | | | | | | | | | | COMBINE_EQS: (1562), (1563) imply:
% 193.39/30.46 | | | | | | | | | | | (1564) all_26_1 = all_20_1
% 193.39/30.46 | | | | | | | | | | |
% 193.39/30.46 | | | | | | | | | | | SIMP: (1564) implies:
% 193.39/30.46 | | | | | | | | | | | (1565) all_26_1 = all_20_1
% 193.39/30.46 | | | | | | | | | | |
% 193.39/30.46 | | | | | | | | | | | COMBINE_EQS: (248), (1562) imply:
% 193.39/30.46 | | | | | | | | | | | (1566) all_54_13 = all_20_1
% 193.39/30.46 | | | | | | | | | | |
% 193.39/30.46 | | | | | | | | | | | REDUCE: (140), (1562) imply:
% 193.39/30.46 | | | | | | | | | | | (1567) ~ (all_52_3 = all_20_1)
% 193.39/30.46 | | | | | | | | | | |
% 193.39/30.46 | | | | | | | | | | | REDUCE: (135), (1562) imply:
% 193.39/30.46 | | | | | | | | | | | (1568) ~ (all_52_4 = all_20_1)
% 193.39/30.46 | | | | | | | | | | |
% 193.39/30.46 | | | | | | | | | | | REDUCE: (128), (1562) imply:
% 193.39/30.46 | | | | | | | | | | | (1569) ~ (all_52_6 = all_20_1)
% 193.39/30.46 | | | | | | | | | | |
% 193.39/30.46 | | | | | | | | | | | REDUCE: (125), (1562) imply:
% 193.39/30.46 | | | | | | | | | | | (1570) ~ (all_52_11 = all_20_1)
% 193.39/30.46 | | | | | | | | | | |
% 193.39/30.46 | | | | | | | | | | | SIMP: (1570) implies:
% 193.39/30.46 | | | | | | | | | | | (1571) ~ (all_52_11 = all_20_1)
% 193.39/30.46 | | | | | | | | | | |
% 193.39/30.46 | | | | | | | | | | | REDUCE: (361), (1562) imply:
% 193.39/30.46 | | | | | | | | | | | (1572) ~ (all_20_1 = all_10_2)
% 193.39/30.46 | | | | | | | | | | |
% 193.39/30.46 | | | | | | | | | | | REDUCE: (1546), (1562) imply:
% 193.39/30.46 | | | | | | | | | | | (1573) ~ (all_20_1 = e0)
% 193.39/30.46 | | | | | | | | | | |
% 193.39/30.46 | | | | | | | | | | | BETA: splitting (73) gives:
% 193.39/30.46 | | | | | | | | | | |
% 193.39/30.46 | | | | | | | | | | | Case 1:
% 193.39/30.46 | | | | | | | | | | | |
% 193.39/30.46 | | | | | | | | | | | | (1574) ~ (all_28_2 = e1)
% 193.39/30.46 | | | | | | | | | | | |
% 193.39/30.46 | | | | | | | | | | | | REDUCE: (315), (1574) imply:
% 193.39/30.46 | | | | | | | | | | | | (1575) ~ (all_14_2 = e1)
% 193.39/30.46 | | | | | | | | | | | |
% 193.39/30.46 | | | | | | | | | | | | BETA: splitting (76) gives:
% 193.39/30.46 | | | | | | | | | | | |
% 193.39/30.46 | | | | | | | | | | | | Case 1:
% 193.39/30.46 | | | | | | | | | | | | |
% 193.39/30.46 | | | | | | | | | | | | | (1576) ~ (all_30_2 = e2)
% 193.39/30.46 | | | | | | | | | | | | |
% 193.39/30.46 | | | | | | | | | | | | | REDUCE: (309), (1576) imply:
% 193.39/30.46 | | | | | | | | | | | | | (1577) ~ (all_10_2 = e2)
% 193.39/30.46 | | | | | | | | | | | | |
% 193.39/30.46 | | | | | | | | | | | | | BETA: splitting (79) gives:
% 193.39/30.46 | | | | | | | | | | | | |
% 193.39/30.46 | | | | | | | | | | | | | Case 1:
% 193.39/30.46 | | | | | | | | | | | | | |
% 193.39/30.46 | | | | | | | | | | | | | | (1578) ~ (all_32_2 = e3)
% 193.39/30.46 | | | | | | | | | | | | | |
% 193.39/30.46 | | | | | | | | | | | | | | REDUCE: (301), (1578) imply:
% 193.39/30.46 | | | | | | | | | | | | | | (1579) ~ (all_4_2 = e3)
% 193.39/30.46 | | | | | | | | | | | | | |
% 193.39/30.46 | | | | | | | | | | | | | | BETA: splitting (194) gives:
% 193.39/30.46 | | | | | | | | | | | | | |
% 193.39/30.46 | | | | | | | | | | | | | | Case 1:
% 193.39/30.46 | | | | | | | | | | | | | | |
% 193.39/30.46 | | | | | | | | | | | | | | | (1580) all_54_10 = e3
% 193.39/30.46 | | | | | | | | | | | | | | |
% 193.39/30.46 | | | | | | | | | | | | | | | COMBINE_EQS: (335), (1580) imply:
% 193.39/30.46 | | | | | | | | | | | | | | | (1581) all_4_2 = e3
% 193.39/30.46 | | | | | | | | | | | | | | |
% 193.39/30.46 | | | | | | | | | | | | | | | REDUCE: (1579), (1581) imply:
% 193.39/30.46 | | | | | | | | | | | | | | | (1582) $false
% 193.39/30.46 | | | | | | | | | | | | | | |
% 193.39/30.46 | | | | | | | | | | | | | | | CLOSE: (1582) is inconsistent.
% 193.39/30.46 | | | | | | | | | | | | | | |
% 193.39/30.46 | | | | | | | | | | | | | | Case 2:
% 193.39/30.46 | | | | | | | | | | | | | | |
% 193.39/30.46 | | | | | | | | | | | | | | | (1583) ~ (all_54_10 = e3)
% 193.39/30.46 | | | | | | | | | | | | | | | (1584) all_54_10 = e2 | all_54_10 = e1 | all_54_10 = e0
% 193.39/30.46 | | | | | | | | | | | | | | |
% 193.39/30.46 | | | | | | | | | | | | | | | BETA: splitting (1584) gives:
% 193.39/30.46 | | | | | | | | | | | | | | |
% 193.39/30.46 | | | | | | | | | | | | | | | Case 1:
% 193.39/30.46 | | | | | | | | | | | | | | | |
% 193.39/30.46 | | | | | | | | | | | | | | | | (1585) all_54_10 = e2
% 193.39/30.46 | | | | | | | | | | | | | | | |
% 193.39/30.46 | | | | | | | | | | | | | | | | COMBINE_EQS: (335), (1585) imply:
% 193.39/30.46 | | | | | | | | | | | | | | | | (1586) all_4_2 = e2
% 193.39/30.46 | | | | | | | | | | | | | | | |
% 193.39/30.46 | | | | | | | | | | | | | | | | REDUCE: (375), (1586) imply:
% 193.39/30.46 | | | | | | | | | | | | | | | | (1587) $false
% 193.39/30.46 | | | | | | | | | | | | | | | |
% 193.39/30.46 | | | | | | | | | | | | | | | | CLOSE: (1587) is inconsistent.
% 193.39/30.46 | | | | | | | | | | | | | | | |
% 193.39/30.46 | | | | | | | | | | | | | | | Case 2:
% 193.39/30.46 | | | | | | | | | | | | | | | |
% 193.39/30.46 | | | | | | | | | | | | | | | | (1588) ~ (all_54_10 = e2)
% 193.39/30.46 | | | | | | | | | | | | | | | | (1589) all_54_10 = e1 | all_54_10 = e0
% 193.39/30.46 | | | | | | | | | | | | | | | |
% 193.39/30.46 | | | | | | | | | | | | | | | | BETA: splitting (1589) gives:
% 193.39/30.46 | | | | | | | | | | | | | | | |
% 193.39/30.46 | | | | | | | | | | | | | | | | Case 1:
% 193.39/30.46 | | | | | | | | | | | | | | | | |
% 193.39/30.46 | | | | | | | | | | | | | | | | | (1590) all_54_10 = e1
% 193.39/30.46 | | | | | | | | | | | | | | | | |
% 193.39/30.46 | | | | | | | | | | | | | | | | | COMBINE_EQS: (335), (1590) imply:
% 193.39/30.46 | | | | | | | | | | | | | | | | | (1591) all_4_2 = e1
% 193.39/30.46 | | | | | | | | | | | | | | | | |
% 193.39/30.46 | | | | | | | | | | | | | | | | | REDUCE: (349), (1591) imply:
% 193.39/30.46 | | | | | | | | | | | | | | | | | (1592) ~ (all_52_2 = e1)
% 193.39/30.46 | | | | | | | | | | | | | | | | |
% 193.39/30.46 | | | | | | | | | | | | | | | | | REDUCE: (360), (1591) imply:
% 193.39/30.46 | | | | | | | | | | | | | | | | | (1593) ~ (all_52_6 = e1)
% 193.39/30.46 | | | | | | | | | | | | | | | | |
% 193.39/30.46 | | | | | | | | | | | | | | | | | REDUCE: (1579), (1591) imply:
% 193.39/30.46 | | | | | | | | | | | | | | | | | (1594) ~ (e3 = e1)
% 193.39/30.46 | | | | | | | | | | | | | | | | |
% 193.39/30.46 | | | | | | | | | | | | | | | | | REDUCE: (375), (1591) imply:
% 193.39/30.46 | | | | | | | | | | | | | | | | | (1595) ~ (e2 = e1)
% 193.39/30.46 | | | | | | | | | | | | | | | | |
% 193.39/30.46 | | | | | | | | | | | | | | | | | REDUCE: (36), (1591) imply:
% 193.39/30.46 | | | | | | | | | | | | | | | | | (1596) op(e1, e1) = e1
% 193.39/30.46 | | | | | | | | | | | | | | | | |
% 193.39/30.46 | | | | | | | | | | | | | | | | | BETA: splitting (82) gives:
% 193.39/30.46 | | | | | | | | | | | | | | | | |
% 193.39/30.46 | | | | | | | | | | | | | | | | | Case 1:
% 193.39/30.46 | | | | | | | | | | | | | | | | | |
% 193.39/30.46 | | | | | | | | | | | | | | | | | | (1597) ~ (all_34_2 = e0)
% 193.39/30.46 | | | | | | | | | | | | | | | | | |
% 193.39/30.46 | | | | | | | | | | | | | | | | | | REDUCE: (313), (1597) imply:
% 193.39/30.46 | | | | | | | | | | | | | | | | | | (1598) ~ (all_14_2 = e0)
% 193.39/30.46 | | | | | | | | | | | | | | | | | |
% 193.39/30.46 | | | | | | | | | | | | | | | | | | BETA: splitting (204) gives:
% 193.39/30.46 | | | | | | | | | | | | | | | | | |
% 193.39/30.46 | | | | | | | | | | | | | | | | | | Case 1:
% 193.39/30.46 | | | | | | | | | | | | | | | | | | |
% 193.39/30.46 | | | | | | | | | | | | | | | | | | | (1599) all_54_0 = e3
% 193.39/30.47 | | | | | | | | | | | | | | | | | | |
% 193.39/30.47 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (279), (1599) imply:
% 193.39/30.47 | | | | | | | | | | | | | | | | | | | (1600) all_14_2 = e3
% 193.39/30.47 | | | | | | | | | | | | | | | | | | |
% 193.39/30.47 | | | | | | | | | | | | | | | | | | | REDUCE: (343), (1600) imply:
% 193.39/30.47 | | | | | | | | | | | | | | | | | | | (1601) ~ (all_52_4 = e3)
% 193.39/30.47 | | | | | | | | | | | | | | | | | | |
% 193.39/30.47 | | | | | | | | | | | | | | | | | | | REDUCE: (347), (1600) imply:
% 193.39/30.47 | | | | | | | | | | | | | | | | | | | (1602) ~ (all_52_12 = e3)
% 193.39/30.47 | | | | | | | | | | | | | | | | | | |
% 193.39/30.47 | | | | | | | | | | | | | | | | | | | REDUCE: (51), (1600) imply:
% 193.39/30.47 | | | | | | | | | | | | | | | | | | | (1603) op(e3, e3) = e3
% 193.39/30.47 | | | | | | | | | | | | | | | | | | |
% 193.39/30.47 | | | | | | | | | | | | | | | | | | | BETA: splitting (238) gives:
% 193.39/30.47 | | | | | | | | | | | | | | | | | | |
% 193.39/30.47 | | | | | | | | | | | | | | | | | | | Case 1:
% 193.39/30.47 | | | | | | | | | | | | | | | | | | | |
% 193.39/30.47 | | | | | | | | | | | | | | | | | | | | (1604) (all_57_3 = e3 & ~ (all_57_1 = e2) & ~ (all_57_8
% 193.39/30.47 | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_10 = e2) & ~ (all_57_12 =
% 193.39/30.47 | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_14 = e0) & op(e3, e3) =
% 193.39/30.47 | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e2) = e3 & op(e2, all_57_9) =
% 193.39/30.47 | | | | | | | | | | | | | | | | | | | | all_57_8 & op(e2, all_57_11) = all_57_10 &
% 193.39/30.47 | | | | | | | | | | | | | | | | | | | | op(e2, all_57_13) = all_57_12 & op(e2,
% 193.39/30.47 | | | | | | | | | | | | | | | | | | | | all_57_15) = all_57_14 & op(e2, e3) = all_57_9
% 193.39/30.47 | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = all_57_11 & op(e2, e1) =
% 193.39/30.47 | | | | | | | | | | | | | | | | | | | | all_57_13 & op(e2, e0) = all_57_15 &
% 193.39/30.47 | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_8) & $i(all_57_9) &
% 193.39/30.47 | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & $i(all_57_11) & $i(all_57_12) &
% 193.39/30.47 | | | | | | | | | | | | | | | | | | | | $i(all_57_13) & $i(all_57_14) & $i(all_57_15)) |
% 193.39/30.47 | | | | | | | | | | | | | | | | | | | | (all_57_5 = e3 & ~ (all_57_1 = e1) & ~
% 193.39/30.47 | | | | | | | | | | | | | | | | | | | | (all_57_16 = e3) & ~ (all_57_18 = e2) & ~
% 193.39/30.47 | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_22 = e0) & op(e3,
% 193.39/30.47 | | | | | | | | | | | | | | | | | | | | e3) = all_57_1 & op(e3, e1) = e3 & op(e1,
% 193.39/30.47 | | | | | | | | | | | | | | | | | | | | all_57_17) = all_57_16 & op(e1, all_57_19) =
% 193.39/30.47 | | | | | | | | | | | | | | | | | | | | all_57_18 & op(e1, all_57_21) = all_57_20 &
% 193.39/30.47 | | | | | | | | | | | | | | | | | | | | op(e1, all_57_23) = all_57_22 & op(e1, e3) =
% 193.39/30.47 | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e1, e2) = all_57_19 & op(e1, e1)
% 193.39/30.47 | | | | | | | | | | | | | | | | | | | | = all_57_21 & op(e1, e0) = all_57_23 &
% 193.39/30.47 | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_16) & $i(all_57_17) &
% 193.39/30.47 | | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_19) & $i(all_57_20) &
% 193.39/30.47 | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_22) & $i(all_57_23)) |
% 193.39/30.47 | | | | | | | | | | | | | | | | | | | | (all_57_7 = e3 & ~ (all_57_1 = e0) & ~
% 193.39/30.47 | | | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 193.39/30.47 | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) & op(e3,
% 193.39/30.47 | | | | | | | | | | | | | | | | | | | | e3) = all_57_1 & op(e3, e0) = e3 & op(e0,
% 193.39/30.47 | | | | | | | | | | | | | | | | | | | | all_57_25) = all_57_24 & op(e0, all_57_27) =
% 193.39/30.47 | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e0, all_57_29) = all_57_28 &
% 193.39/30.47 | | | | | | | | | | | | | | | | | | | | op(e0, all_57_31) = all_57_30 & op(e0, e3) =
% 193.39/30.47 | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_27 & op(e0, e1)
% 193.39/30.47 | | | | | | | | | | | | | | | | | | | | = all_57_29 & op(e0, e0) = all_57_31 &
% 193.39/30.47 | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_24) & $i(all_57_25) &
% 193.39/30.47 | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_27) & $i(all_57_28) &
% 193.39/30.47 | | | | | | | | | | | | | | | | | | | | $i(all_57_29) & $i(all_57_30) & $i(all_57_31)) |
% 193.39/30.47 | | | | | | | | | | | | | | | | | | | | (all_57_9 = e2 & ~ (all_57_0 = e3) & ~ (all_57_2
% 193.39/30.47 | | | | | | | | | | | | | | | | | | | | = e2) & ~ (all_57_4 = e1) & ~ (all_57_6 =
% 193.39/30.47 | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_11 = e3) & op(e3, all_57_1) =
% 193.39/30.47 | | | | | | | | | | | | | | | | | | | | all_57_0 & op(e3, all_57_3) = all_57_2 & op(e3,
% 193.39/30.47 | | | | | | | | | | | | | | | | | | | | all_57_5) = all_57_4 & op(e3, all_57_7) =
% 193.39/30.47 | | | | | | | | | | | | | | | | | | | | all_57_6 & op(e3, e3) = all_57_1 & op(e3, e2) =
% 193.39/30.47 | | | | | | | | | | | | | | | | | | | | all_57_3 & op(e3, e1) = all_57_5 & op(e3, e0) =
% 193.39/30.47 | | | | | | | | | | | | | | | | | | | | all_57_7 & op(e2, e3) = e2 & op(e2, e2) =
% 193.39/30.47 | | | | | | | | | | | | | | | | | | | | all_57_11 & $i(all_57_0) & $i(all_57_1) &
% 193.39/30.47 | | | | | | | | | | | | | | | | | | | | $i(all_57_2) & $i(all_57_3) & $i(all_57_4) &
% 193.39/30.47 | | | | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 193.39/30.47 | | | | | | | | | | | | | | | | | | | | $i(all_57_11))
% 193.39/30.47 | | | | | | | | | | | | | | | | | | | |
% 193.39/30.47 | | | | | | | | | | | | | | | | | | | | BETA: splitting (1604) gives:
% 193.39/30.47 | | | | | | | | | | | | | | | | | | | |
% 193.39/30.47 | | | | | | | | | | | | | | | | | | | | Case 1:
% 193.39/30.47 | | | | | | | | | | | | | | | | | | | | |
% 193.39/30.47 | | | | | | | | | | | | | | | | | | | | | (1605) (all_57_3 = e3 & ~ (all_57_1 = e2) & ~ (all_57_8
% 193.39/30.47 | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_10 = e2) & ~ (all_57_12 =
% 193.39/30.47 | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_14 = e0) & op(e3, e3) =
% 193.39/30.47 | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e2) = e3 & op(e2, all_57_9) =
% 193.39/30.47 | | | | | | | | | | | | | | | | | | | | | all_57_8 & op(e2, all_57_11) = all_57_10 &
% 193.39/30.47 | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_13) = all_57_12 & op(e2,
% 193.39/30.47 | | | | | | | | | | | | | | | | | | | | | all_57_15) = all_57_14 & op(e2, e3) = all_57_9
% 193.39/30.47 | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = all_57_11 & op(e2, e1) =
% 193.39/30.47 | | | | | | | | | | | | | | | | | | | | | all_57_13 & op(e2, e0) = all_57_15 &
% 193.39/30.47 | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_8) & $i(all_57_9) &
% 193.39/30.47 | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & $i(all_57_11) & $i(all_57_12) &
% 193.39/30.47 | | | | | | | | | | | | | | | | | | | | | $i(all_57_13) & $i(all_57_14) & $i(all_57_15)) |
% 193.39/30.47 | | | | | | | | | | | | | | | | | | | | | (all_57_5 = e3 & ~ (all_57_1 = e1) & ~
% 193.39/30.47 | | | | | | | | | | | | | | | | | | | | | (all_57_16 = e3) & ~ (all_57_18 = e2) & ~
% 193.39/30.47 | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_22 = e0) & op(e3,
% 193.39/30.47 | | | | | | | | | | | | | | | | | | | | | e3) = all_57_1 & op(e3, e1) = e3 & op(e1,
% 193.39/30.47 | | | | | | | | | | | | | | | | | | | | | all_57_17) = all_57_16 & op(e1, all_57_19) =
% 193.39/30.47 | | | | | | | | | | | | | | | | | | | | | all_57_18 & op(e1, all_57_21) = all_57_20 &
% 193.39/30.47 | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_23) = all_57_22 & op(e1, e3) =
% 193.39/30.47 | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e1, e2) = all_57_19 & op(e1, e1)
% 193.39/30.47 | | | | | | | | | | | | | | | | | | | | | = all_57_21 & op(e1, e0) = all_57_23 &
% 193.39/30.47 | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_16) & $i(all_57_17) &
% 193.39/30.47 | | | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_19) & $i(all_57_20) &
% 193.39/30.47 | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_22) & $i(all_57_23))
% 193.39/30.47 | | | | | | | | | | | | | | | | | | | | |
% 193.39/30.47 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (170), (1596), (1601), (1605), (function-axioms)
% 193.39/30.47 | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1484.
% 193.39/30.47 | | | | | | | | | | | | | | | | | | | | |
% 193.39/30.47 | | | | | | | | | | | | | | | | | | | | Case 2:
% 193.39/30.47 | | | | | | | | | | | | | | | | | | | | |
% 193.39/30.47 | | | | | | | | | | | | | | | | | | | | | (1606) (all_57_7 = e3 & ~ (all_57_1 = e0) & ~
% 193.39/30.47 | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 193.39/30.47 | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) & op(e3,
% 193.39/30.47 | | | | | | | | | | | | | | | | | | | | | e3) = all_57_1 & op(e3, e0) = e3 & op(e0,
% 193.39/30.47 | | | | | | | | | | | | | | | | | | | | | all_57_25) = all_57_24 & op(e0, all_57_27) =
% 193.39/30.47 | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e0, all_57_29) = all_57_28 &
% 193.39/30.47 | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_31) = all_57_30 & op(e0, e3) =
% 193.39/30.47 | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_27 & op(e0, e1)
% 193.39/30.47 | | | | | | | | | | | | | | | | | | | | | = all_57_29 & op(e0, e0) = all_57_31 &
% 193.39/30.47 | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_24) & $i(all_57_25) &
% 193.39/30.47 | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_27) & $i(all_57_28) &
% 193.39/30.47 | | | | | | | | | | | | | | | | | | | | | $i(all_57_29) & $i(all_57_30) & $i(all_57_31)) |
% 193.39/30.47 | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e2 & ~ (all_57_0 = e3) & ~ (all_57_2
% 193.39/30.47 | | | | | | | | | | | | | | | | | | | | | = e2) & ~ (all_57_4 = e1) & ~ (all_57_6 =
% 193.39/30.47 | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_11 = e3) & op(e3, all_57_1) =
% 193.39/30.47 | | | | | | | | | | | | | | | | | | | | | all_57_0 & op(e3, all_57_3) = all_57_2 & op(e3,
% 193.39/30.47 | | | | | | | | | | | | | | | | | | | | | all_57_5) = all_57_4 & op(e3, all_57_7) =
% 193.39/30.47 | | | | | | | | | | | | | | | | | | | | | all_57_6 & op(e3, e3) = all_57_1 & op(e3, e2) =
% 193.39/30.47 | | | | | | | | | | | | | | | | | | | | | all_57_3 & op(e3, e1) = all_57_5 & op(e3, e0) =
% 193.39/30.47 | | | | | | | | | | | | | | | | | | | | | all_57_7 & op(e2, e3) = e2 & op(e2, e2) =
% 193.39/30.47 | | | | | | | | | | | | | | | | | | | | | all_57_11 & $i(all_57_0) & $i(all_57_1) &
% 193.39/30.47 | | | | | | | | | | | | | | | | | | | | | $i(all_57_2) & $i(all_57_3) & $i(all_57_4) &
% 193.39/30.47 | | | | | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 193.39/30.47 | | | | | | | | | | | | | | | | | | | | | $i(all_57_11))
% 193.39/30.47 | | | | | | | | | | | | | | | | | | | | |
% 193.39/30.47 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (168), (1602), (1603), (1606), (function-axioms)
% 193.39/30.47 | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1483.
% 193.39/30.47 | | | | | | | | | | | | | | | | | | | | |
% 193.39/30.47 | | | | | | | | | | | | | | | | | | | | End of split
% 193.39/30.47 | | | | | | | | | | | | | | | | | | | |
% 193.39/30.47 | | | | | | | | | | | | | | | | | | | Case 2:
% 193.39/30.47 | | | | | | | | | | | | | | | | | | | |
% 193.39/30.47 | | | | | | | | | | | | | | | | | | | | (1607) (all_57_13 = e2 & ~ (all_57_11 = e1) & ~
% 193.39/30.47 | | | | | | | | | | | | | | | | | | | | (all_57_16 = e3) & ~ (all_57_18 = e2) & ~
% 193.39/30.47 | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_22 = e0) & op(e2,
% 193.39/30.47 | | | | | | | | | | | | | | | | | | | | e2) = all_57_11 & op(e2, e1) = e2 & op(e1,
% 193.39/30.47 | | | | | | | | | | | | | | | | | | | | all_57_17) = all_57_16 & op(e1, all_57_19) =
% 193.39/30.47 | | | | | | | | | | | | | | | | | | | | all_57_18 & op(e1, all_57_21) = all_57_20 &
% 193.39/30.47 | | | | | | | | | | | | | | | | | | | | op(e1, all_57_23) = all_57_22 & op(e1, e3) =
% 193.39/30.47 | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e1, e2) = all_57_19 & op(e1, e1)
% 193.39/30.47 | | | | | | | | | | | | | | | | | | | | = all_57_21 & op(e1, e0) = all_57_23 &
% 193.39/30.47 | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_16) & $i(all_57_17) &
% 193.39/30.47 | | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_19) & $i(all_57_20) &
% 193.39/30.47 | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_22) & $i(all_57_23)) |
% 193.39/30.47 | | | | | | | | | | | | | | | | | | | | (all_57_15 = e2 & ~ (all_57_11 = e0) & ~
% 193.39/30.47 | | | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 193.39/30.47 | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) & op(e2,
% 193.39/30.47 | | | | | | | | | | | | | | | | | | | | e2) = all_57_11 & op(e2, e0) = e2 & op(e0,
% 193.39/30.47 | | | | | | | | | | | | | | | | | | | | all_57_25) = all_57_24 & op(e0, all_57_27) =
% 193.39/30.47 | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e0, all_57_29) = all_57_28 &
% 193.39/30.47 | | | | | | | | | | | | | | | | | | | | op(e0, all_57_31) = all_57_30 & op(e0, e3) =
% 193.39/30.47 | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_27 & op(e0, e1)
% 193.39/30.47 | | | | | | | | | | | | | | | | | | | | = all_57_29 & op(e0, e0) = all_57_31 &
% 193.39/30.47 | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_24) & $i(all_57_25) &
% 193.39/30.47 | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_27) & $i(all_57_28) &
% 193.39/30.47 | | | | | | | | | | | | | | | | | | | | $i(all_57_29) & $i(all_57_30) & $i(all_57_31)) |
% 193.39/30.47 | | | | | | | | | | | | | | | | | | | | (all_57_17 = e1 & ~ (all_57_0 = e3) & ~
% 193.39/30.47 | | | | | | | | | | | | | | | | | | | | (all_57_2 = e2) & ~ (all_57_4 = e1) & ~
% 193.39/30.47 | | | | | | | | | | | | | | | | | | | | (all_57_6 = e0) & ~ (all_57_21 = e3) & op(e3,
% 193.39/30.47 | | | | | | | | | | | | | | | | | | | | all_57_1) = all_57_0 & op(e3, all_57_3) =
% 193.39/30.47 | | | | | | | | | | | | | | | | | | | | all_57_2 & op(e3, all_57_5) = all_57_4 & op(e3,
% 193.39/30.47 | | | | | | | | | | | | | | | | | | | | all_57_7) = all_57_6 & op(e3, e3) = all_57_1 &
% 193.39/30.47 | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_3 & op(e3, e1) = all_57_5 &
% 193.39/30.47 | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_7 & op(e1, e3) = e1 & op(e1,
% 193.39/30.47 | | | | | | | | | | | | | | | | | | | | e1) = all_57_21 & $i(all_57_0) & $i(all_57_1)
% 193.39/30.47 | | | | | | | | | | | | | | | | | | | | & $i(all_57_2) & $i(all_57_3) & $i(all_57_4) &
% 193.39/30.47 | | | | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 193.39/30.47 | | | | | | | | | | | | | | | | | | | | $i(all_57_21)) | (all_57_19 = e1 & ~ (all_57_8
% 193.39/30.47 | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_10 = e2) & ~ (all_57_12 =
% 193.39/30.47 | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_14 = e0) & ~ (all_57_21 =
% 193.39/30.47 | | | | | | | | | | | | | | | | | | | | e2) & op(e2, all_57_9) = all_57_8 & op(e2,
% 193.39/30.47 | | | | | | | | | | | | | | | | | | | | all_57_11) = all_57_10 & op(e2, all_57_13) =
% 193.39/30.47 | | | | | | | | | | | | | | | | | | | | all_57_12 & op(e2, all_57_15) = all_57_14 &
% 193.39/30.47 | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_9 & op(e2, e2) = all_57_11 &
% 193.39/30.47 | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_57_13 & op(e2, e0) = all_57_15
% 193.39/30.47 | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e1 & op(e1, e1) = all_57_21 &
% 193.39/30.47 | | | | | | | | | | | | | | | | | | | | $i(all_57_8) & $i(all_57_9) & $i(all_57_10) &
% 193.39/30.47 | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_12) & $i(all_57_13) &
% 193.39/30.47 | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & $i(all_57_15) & $i(all_57_21)) |
% 193.39/30.47 | | | | | | | | | | | | | | | | | | | | (op(e0, e0) = all_57_31 & $i(all_57_31) &
% 193.39/30.47 | | | | | | | | | | | | | | | | | | | | ((all_57_23 = e1 & ~ (all_57_21 = e0) & ~
% 193.39/30.47 | | | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 193.39/30.47 | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) &
% 193.39/30.47 | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_21 & op(e1, e0) = e1 &
% 193.39/30.47 | | | | | | | | | | | | | | | | | | | | op(e0, all_57_25) = all_57_24 & op(e0,
% 193.39/30.47 | | | | | | | | | | | | | | | | | | | | all_57_27) = all_57_26 & op(e0, all_57_29)
% 193.39/30.47 | | | | | | | | | | | | | | | | | | | | = all_57_28 & op(e0, all_57_31) = all_57_30
% 193.39/30.47 | | | | | | | | | | | | | | | | | | | | & op(e0, e3) = all_57_25 & op(e0, e2) =
% 193.39/30.47 | | | | | | | | | | | | | | | | | | | | all_57_27 & op(e0, e1) = all_57_29 &
% 193.39/30.47 | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_24) &
% 193.39/30.47 | | | | | | | | | | | | | | | | | | | | $i(all_57_25) & $i(all_57_26) &
% 193.39/30.47 | | | | | | | | | | | | | | | | | | | | $i(all_57_27) & $i(all_57_28) &
% 193.39/30.47 | | | | | | | | | | | | | | | | | | | | $i(all_57_29) & $i(all_57_30)) | (all_57_25
% 193.39/30.47 | | | | | | | | | | | | | | | | | | | | = e0 & ~ (all_57_0 = e3) & ~ (all_57_2 =
% 193.39/30.47 | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_4 = e1) & ~ (all_57_6 =
% 193.39/30.47 | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_31 = e3) & op(e3,
% 193.39/30.47 | | | | | | | | | | | | | | | | | | | | all_57_1) = all_57_0 & op(e3, all_57_3) =
% 193.39/30.47 | | | | | | | | | | | | | | | | | | | | all_57_2 & op(e3, all_57_5) = all_57_4 &
% 193.39/30.47 | | | | | | | | | | | | | | | | | | | | op(e3, all_57_7) = all_57_6 & op(e3, e3) =
% 193.39/30.47 | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e2) = all_57_3 & op(e3,
% 193.39/30.47 | | | | | | | | | | | | | | | | | | | | e1) = all_57_5 & op(e3, e0) = all_57_7 &
% 193.39/30.47 | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_0) &
% 193.39/30.47 | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_2) & $i(all_57_3) &
% 193.39/30.47 | | | | | | | | | | | | | | | | | | | | $i(all_57_4) & $i(all_57_5) & $i(all_57_6) &
% 193.39/30.47 | | | | | | | | | | | | | | | | | | | | $i(all_57_7)) | (all_57_27 = e0 & ~
% 193.39/30.47 | | | | | | | | | | | | | | | | | | | | (all_57_8 = e3) & ~ (all_57_10 = e2) & ~
% 193.39/30.47 | | | | | | | | | | | | | | | | | | | | (all_57_12 = e1) & ~ (all_57_14 = e0) & ~
% 193.39/30.47 | | | | | | | | | | | | | | | | | | | | (all_57_31 = e2) & op(e2, all_57_9) =
% 193.39/30.47 | | | | | | | | | | | | | | | | | | | | all_57_8 & op(e2, all_57_11) = all_57_10 &
% 193.39/30.47 | | | | | | | | | | | | | | | | | | | | op(e2, all_57_13) = all_57_12 & op(e2,
% 193.39/30.47 | | | | | | | | | | | | | | | | | | | | all_57_15) = all_57_14 & op(e2, e3) =
% 193.39/30.47 | | | | | | | | | | | | | | | | | | | | all_57_9 & op(e2, e2) = all_57_11 & op(e2,
% 193.39/30.47 | | | | | | | | | | | | | | | | | | | | e1) = all_57_13 & op(e2, e0) = all_57_15 &
% 193.39/30.47 | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_8) &
% 193.39/30.47 | | | | | | | | | | | | | | | | | | | | $i(all_57_9) & $i(all_57_10) & $i(all_57_11)
% 193.39/30.47 | | | | | | | | | | | | | | | | | | | | & $i(all_57_12) & $i(all_57_13) &
% 193.39/30.47 | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & $i(all_57_15)) | (all_57_29
% 193.39/30.47 | | | | | | | | | | | | | | | | | | | | = e0 & ~ (all_57_16 = e3) & ~ (all_57_18 =
% 193.39/30.47 | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_20 = e1) & ~ (all_57_22
% 193.39/30.47 | | | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_31 = e1) & op(e1,
% 193.39/30.47 | | | | | | | | | | | | | | | | | | | | all_57_17) = all_57_16 & op(e1, all_57_19)
% 193.39/30.47 | | | | | | | | | | | | | | | | | | | | = all_57_18 & op(e1, all_57_21) = all_57_20
% 193.39/30.47 | | | | | | | | | | | | | | | | | | | | & op(e1, all_57_23) = all_57_22 & op(e1, e3)
% 193.39/30.47 | | | | | | | | | | | | | | | | | | | | = all_57_17 & op(e1, e2) = all_57_19 &
% 193.39/30.47 | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_21 & op(e1, e0) =
% 193.39/30.47 | | | | | | | | | | | | | | | | | | | | all_57_23 & op(e0, e1) = e0 & $i(all_57_16)
% 193.39/30.47 | | | | | | | | | | | | | | | | | | | | & $i(all_57_17) & $i(all_57_18) &
% 193.39/30.47 | | | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_20) &
% 193.39/30.47 | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_22) &
% 193.39/30.47 | | | | | | | | | | | | | | | | | | | | $i(all_57_23))))
% 193.39/30.47 | | | | | | | | | | | | | | | | | | | |
% 193.39/30.47 | | | | | | | | | | | | | | | | | | | | BETA: splitting (1607) gives:
% 193.39/30.47 | | | | | | | | | | | | | | | | | | | |
% 193.39/30.47 | | | | | | | | | | | | | | | | | | | | Case 1:
% 193.39/30.47 | | | | | | | | | | | | | | | | | | | | |
% 193.39/30.47 | | | | | | | | | | | | | | | | | | | | | (1608) (all_57_13 = e2 & ~ (all_57_11 = e1) & ~
% 193.39/30.47 | | | | | | | | | | | | | | | | | | | | | (all_57_16 = e3) & ~ (all_57_18 = e2) & ~
% 193.39/30.47 | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_22 = e0) & op(e2,
% 193.39/30.47 | | | | | | | | | | | | | | | | | | | | | e2) = all_57_11 & op(e2, e1) = e2 & op(e1,
% 193.39/30.47 | | | | | | | | | | | | | | | | | | | | | all_57_17) = all_57_16 & op(e1, all_57_19) =
% 193.39/30.47 | | | | | | | | | | | | | | | | | | | | | all_57_18 & op(e1, all_57_21) = all_57_20 &
% 193.39/30.47 | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_23) = all_57_22 & op(e1, e3) =
% 193.39/30.47 | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e1, e2) = all_57_19 & op(e1, e1)
% 193.39/30.47 | | | | | | | | | | | | | | | | | | | | | = all_57_21 & op(e1, e0) = all_57_23 &
% 193.39/30.47 | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_16) & $i(all_57_17) &
% 193.39/30.47 | | | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_19) & $i(all_57_20) &
% 193.39/30.47 | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_22) & $i(all_57_23)) |
% 193.39/30.47 | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e2 & ~ (all_57_11 = e0) & ~
% 193.39/30.47 | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 193.39/30.47 | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) & op(e2,
% 193.39/30.47 | | | | | | | | | | | | | | | | | | | | | e2) = all_57_11 & op(e2, e0) = e2 & op(e0,
% 193.39/30.47 | | | | | | | | | | | | | | | | | | | | | all_57_25) = all_57_24 & op(e0, all_57_27) =
% 193.39/30.47 | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e0, all_57_29) = all_57_28 &
% 193.39/30.47 | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_31) = all_57_30 & op(e0, e3) =
% 193.39/30.47 | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_27 & op(e0, e1)
% 193.39/30.47 | | | | | | | | | | | | | | | | | | | | | = all_57_29 & op(e0, e0) = all_57_31 &
% 193.39/30.47 | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_24) & $i(all_57_25) &
% 193.39/30.47 | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_27) & $i(all_57_28) &
% 193.39/30.47 | | | | | | | | | | | | | | | | | | | | | $i(all_57_29) & $i(all_57_30) & $i(all_57_31))
% 193.39/30.47 | | | | | | | | | | | | | | | | | | | | |
% 193.39/30.47 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (1551), (1596), (1608), (function-axioms) are
% 193.39/30.47 | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1481.
% 193.39/30.47 | | | | | | | | | | | | | | | | | | | | |
% 193.39/30.47 | | | | | | | | | | | | | | | | | | | | Case 2:
% 193.39/30.47 | | | | | | | | | | | | | | | | | | | | |
% 193.39/30.47 | | | | | | | | | | | | | | | | | | | | | (1609) (all_57_17 = e1 & ~ (all_57_0 = e3) & ~
% 193.39/30.47 | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e2) & ~ (all_57_4 = e1) & ~
% 193.39/30.47 | | | | | | | | | | | | | | | | | | | | | (all_57_6 = e0) & ~ (all_57_21 = e3) & op(e3,
% 193.39/30.47 | | | | | | | | | | | | | | | | | | | | | all_57_1) = all_57_0 & op(e3, all_57_3) =
% 193.39/30.47 | | | | | | | | | | | | | | | | | | | | | all_57_2 & op(e3, all_57_5) = all_57_4 & op(e3,
% 193.39/30.47 | | | | | | | | | | | | | | | | | | | | | all_57_7) = all_57_6 & op(e3, e3) = all_57_1 &
% 193.39/30.47 | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_3 & op(e3, e1) = all_57_5 &
% 193.39/30.47 | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_7 & op(e1, e3) = e1 & op(e1,
% 193.39/30.47 | | | | | | | | | | | | | | | | | | | | | e1) = all_57_21 & $i(all_57_0) & $i(all_57_1)
% 193.39/30.47 | | | | | | | | | | | | | | | | | | | | | & $i(all_57_2) & $i(all_57_3) & $i(all_57_4) &
% 193.39/30.47 | | | | | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 193.39/30.47 | | | | | | | | | | | | | | | | | | | | | $i(all_57_21)) | (all_57_19 = e1 & ~ (all_57_8
% 193.39/30.47 | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_10 = e2) & ~ (all_57_12 =
% 193.39/30.47 | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_14 = e0) & ~ (all_57_21 =
% 193.39/30.47 | | | | | | | | | | | | | | | | | | | | | e2) & op(e2, all_57_9) = all_57_8 & op(e2,
% 193.39/30.47 | | | | | | | | | | | | | | | | | | | | | all_57_11) = all_57_10 & op(e2, all_57_13) =
% 193.39/30.47 | | | | | | | | | | | | | | | | | | | | | all_57_12 & op(e2, all_57_15) = all_57_14 &
% 193.39/30.47 | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_9 & op(e2, e2) = all_57_11 &
% 193.39/30.47 | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_57_13 & op(e2, e0) = all_57_15
% 193.39/30.47 | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e1 & op(e1, e1) = all_57_21 &
% 193.39/30.47 | | | | | | | | | | | | | | | | | | | | | $i(all_57_8) & $i(all_57_9) & $i(all_57_10) &
% 193.39/30.47 | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_12) & $i(all_57_13) &
% 193.39/30.47 | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & $i(all_57_15) & $i(all_57_21)) |
% 193.39/30.47 | | | | | | | | | | | | | | | | | | | | | (op(e0, e0) = all_57_31 & $i(all_57_31) &
% 193.39/30.47 | | | | | | | | | | | | | | | | | | | | | ((all_57_23 = e1 & ~ (all_57_21 = e0) & ~
% 193.39/30.47 | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 193.39/30.47 | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) &
% 193.39/30.47 | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_21 & op(e1, e0) = e1 &
% 193.39/30.47 | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_25) = all_57_24 & op(e0,
% 193.39/30.47 | | | | | | | | | | | | | | | | | | | | | all_57_27) = all_57_26 & op(e0, all_57_29)
% 193.39/30.47 | | | | | | | | | | | | | | | | | | | | | = all_57_28 & op(e0, all_57_31) = all_57_30
% 193.39/30.47 | | | | | | | | | | | | | | | | | | | | | & op(e0, e3) = all_57_25 & op(e0, e2) =
% 193.39/30.47 | | | | | | | | | | | | | | | | | | | | | all_57_27 & op(e0, e1) = all_57_29 &
% 193.39/30.47 | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_24) &
% 193.39/30.47 | | | | | | | | | | | | | | | | | | | | | $i(all_57_25) & $i(all_57_26) &
% 193.39/30.47 | | | | | | | | | | | | | | | | | | | | | $i(all_57_27) & $i(all_57_28) &
% 193.39/30.47 | | | | | | | | | | | | | | | | | | | | | $i(all_57_29) & $i(all_57_30)) | (all_57_25
% 193.39/30.47 | | | | | | | | | | | | | | | | | | | | | = e0 & ~ (all_57_0 = e3) & ~ (all_57_2 =
% 193.39/30.47 | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_4 = e1) & ~ (all_57_6 =
% 193.39/30.47 | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_31 = e3) & op(e3,
% 193.39/30.47 | | | | | | | | | | | | | | | | | | | | | all_57_1) = all_57_0 & op(e3, all_57_3) =
% 193.39/30.47 | | | | | | | | | | | | | | | | | | | | | all_57_2 & op(e3, all_57_5) = all_57_4 &
% 193.39/30.47 | | | | | | | | | | | | | | | | | | | | | op(e3, all_57_7) = all_57_6 & op(e3, e3) =
% 193.39/30.47 | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e2) = all_57_3 & op(e3,
% 193.39/30.47 | | | | | | | | | | | | | | | | | | | | | e1) = all_57_5 & op(e3, e0) = all_57_7 &
% 193.39/30.47 | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_0) &
% 193.39/30.47 | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_2) & $i(all_57_3) &
% 193.39/30.47 | | | | | | | | | | | | | | | | | | | | | $i(all_57_4) & $i(all_57_5) & $i(all_57_6) &
% 193.39/30.47 | | | | | | | | | | | | | | | | | | | | | $i(all_57_7)) | (all_57_27 = e0 & ~
% 193.39/30.47 | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e3) & ~ (all_57_10 = e2) & ~
% 193.39/30.47 | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e1) & ~ (all_57_14 = e0) & ~
% 193.39/30.47 | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e2) & op(e2, all_57_9) =
% 193.39/30.47 | | | | | | | | | | | | | | | | | | | | | all_57_8 & op(e2, all_57_11) = all_57_10 &
% 193.39/30.47 | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_13) = all_57_12 & op(e2,
% 193.39/30.47 | | | | | | | | | | | | | | | | | | | | | all_57_15) = all_57_14 & op(e2, e3) =
% 193.39/30.47 | | | | | | | | | | | | | | | | | | | | | all_57_9 & op(e2, e2) = all_57_11 & op(e2,
% 193.39/30.47 | | | | | | | | | | | | | | | | | | | | | e1) = all_57_13 & op(e2, e0) = all_57_15 &
% 193.39/30.47 | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_8) &
% 193.39/30.47 | | | | | | | | | | | | | | | | | | | | | $i(all_57_9) & $i(all_57_10) & $i(all_57_11)
% 193.39/30.47 | | | | | | | | | | | | | | | | | | | | | & $i(all_57_12) & $i(all_57_13) &
% 193.39/30.47 | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & $i(all_57_15)) | (all_57_29
% 193.39/30.47 | | | | | | | | | | | | | | | | | | | | | = e0 & ~ (all_57_16 = e3) & ~ (all_57_18 =
% 193.39/30.47 | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_20 = e1) & ~ (all_57_22
% 193.39/30.47 | | | | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_31 = e1) & op(e1,
% 193.39/30.47 | | | | | | | | | | | | | | | | | | | | | all_57_17) = all_57_16 & op(e1, all_57_19)
% 193.39/30.47 | | | | | | | | | | | | | | | | | | | | | = all_57_18 & op(e1, all_57_21) = all_57_20
% 193.39/30.47 | | | | | | | | | | | | | | | | | | | | | & op(e1, all_57_23) = all_57_22 & op(e1, e3)
% 193.39/30.47 | | | | | | | | | | | | | | | | | | | | | = all_57_17 & op(e1, e2) = all_57_19 &
% 193.39/30.47 | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_21 & op(e1, e0) =
% 193.39/30.47 | | | | | | | | | | | | | | | | | | | | | all_57_23 & op(e0, e1) = e0 & $i(all_57_16)
% 193.39/30.47 | | | | | | | | | | | | | | | | | | | | | & $i(all_57_17) & $i(all_57_18) &
% 193.39/30.47 | | | | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_20) &
% 193.39/30.47 | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_22) &
% 193.39/30.47 | | | | | | | | | | | | | | | | | | | | | $i(all_57_23))))
% 193.39/30.47 | | | | | | | | | | | | | | | | | | | | |
% 193.39/30.47 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (45), (91), (157), (158), (159), (160), (162),
% 193.39/30.47 | | | | | | | | | | | | | | | | | | | | | (163), (189), (246), (307), (350), (368), (371),
% 193.39/30.47 | | | | | | | | | | | | | | | | | | | | | (376), (1546), (1577), (1592), (1593), (1603),
% 193.39/30.47 | | | | | | | | | | | | | | | | | | | | | (1609), (function-axioms) are inconsistent by
% 193.39/30.47 | | | | | | | | | | | | | | | | | | | | | sub-proof #1474.
% 193.39/30.47 | | | | | | | | | | | | | | | | | | | | |
% 193.39/30.47 | | | | | | | | | | | | | | | | | | | | End of split
% 193.39/30.47 | | | | | | | | | | | | | | | | | | | |
% 193.39/30.47 | | | | | | | | | | | | | | | | | | | End of split
% 193.39/30.47 | | | | | | | | | | | | | | | | | | |
% 193.39/30.47 | | | | | | | | | | | | | | | | | | Case 2:
% 193.39/30.47 | | | | | | | | | | | | | | | | | | |
% 193.39/30.47 | | | | | | | | | | | | | | | | | | | (1610) all_54_0 = e2 | all_54_0 = e1 | all_54_0 = e0
% 193.39/30.47 | | | | | | | | | | | | | | | | | | |
% 193.39/30.47 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (279), (377), (1575), (1598), (1610) are
% 193.39/30.47 | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1904.
% 193.39/30.47 | | | | | | | | | | | | | | | | | | |
% 193.39/30.47 | | | | | | | | | | | | | | | | | | End of split
% 193.39/30.47 | | | | | | | | | | | | | | | | | |
% 193.39/30.47 | | | | | | | | | | | | | | | | | Case 2:
% 193.39/30.47 | | | | | | | | | | | | | | | | | |
% 193.39/30.47 | | | | | | | | | | | | | | | | | | (1611) all_34_2 = e0
% 193.39/30.47 | | | | | | | | | | | | | | | | | |
% 193.39/30.47 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (313), (1611) imply:
% 193.39/30.47 | | | | | | | | | | | | | | | | | | (1612) all_14_2 = e0
% 193.39/30.47 | | | | | | | | | | | | | | | | | |
% 193.39/30.47 | | | | | | | | | | | | | | | | | | REDUCE: (339), (1612) imply:
% 193.39/30.47 | | | | | | | | | | | | | | | | | | (1613) ~ (all_52_2 = e0)
% 193.39/30.47 | | | | | | | | | | | | | | | | | |
% 193.39/30.47 | | | | | | | | | | | | | | | | | | REDUCE: (345), (1612) imply:
% 193.39/30.47 | | | | | | | | | | | | | | | | | | (1614) ~ (all_52_8 = e0)
% 193.39/30.47 | | | | | | | | | | | | | | | | | |
% 193.39/30.47 | | | | | | | | | | | | | | | | | | REDUCE: (377), (1612) imply:
% 193.39/30.47 | | | | | | | | | | | | | | | | | | (1615) ~ (e2 = e0)
% 193.39/30.47 | | | | | | | | | | | | | | | | | |
% 193.39/30.47 | | | | | | | | | | | | | | | | | | REDUCE: (51), (1612) imply:
% 193.39/30.47 | | | | | | | | | | | | | | | | | | (1616) op(e3, e3) = e0
% 193.39/30.47 | | | | | | | | | | | | | | | | | |
% 193.39/30.47 | | | | | | | | | | | | | | | | | | BETA: splitting (213) gives:
% 193.39/30.47 | | | | | | | | | | | | | | | | | |
% 193.39/30.47 | | | | | | | | | | | | | | | | | | Case 1:
% 193.39/30.47 | | | | | | | | | | | | | | | | | | |
% 193.39/30.47 | | | | | | | | | | | | | | | | | | | (1617) (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_7 = e0
% 193.39/30.47 | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e0)
% 193.39/30.47 | | | | | | | | | | | | | | | | | | |
% 193.39/30.47 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (162), (163), (1545), (1613), (1617),
% 193.39/30.47 | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 193.39/30.47 | | | | | | | | | | | | | | | | | | | #1472.
% 193.39/30.47 | | | | | | | | | | | | | | | | | | |
% 193.39/30.47 | | | | | | | | | | | | | | | | | | Case 2:
% 193.39/30.47 | | | | | | | | | | | | | | | | | | |
% 193.39/30.47 | | | | | | | | | | | | | | | | | | | (1618) (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_11 =
% 193.39/30.47 | | | | | | | | | | | | | | | | | | | e0 & op(e1, e0) = e0)
% 193.39/30.47 | | | | | | | | | | | | | | | | | | |
% 193.39/30.47 | | | | | | | | | | | | | | | | | | | BETA: splitting (1618) gives:
% 193.39/30.47 | | | | | | | | | | | | | | | | | | |
% 193.39/30.47 | | | | | | | | | | | | | | | | | | | Case 1:
% 193.39/30.47 | | | | | | | | | | | | | | | | | | | |
% 193.39/30.47 | | | | | | | | | | | | | | | | | | | | (1619) all_56_8 = e0 & op(e1, e1) = e0
% 193.39/30.47 | | | | | | | | | | | | | | | | | | | |
% 193.39/30.47 | | | | | | | | | | | | | | | | | | | | ALPHA: (1619) implies:
% 193.39/30.47 | | | | | | | | | | | | | | | | | | | | (1620) op(e1, e1) = e0
% 193.39/30.47 | | | | | | | | | | | | | | | | | | | |
% 193.39/30.47 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (1596), (1620), (function-axioms) are
% 193.39/30.47 | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1956.
% 193.39/30.47 | | | | | | | | | | | | | | | | | | | |
% 193.39/30.47 | | | | | | | | | | | | | | | | | | | Case 2:
% 193.39/30.47 | | | | | | | | | | | | | | | | | | | |
% 193.39/30.47 | | | | | | | | | | | | | | | | | | | | (1621) all_56_11 = e0 & op(e1, e0) = e0
% 193.39/30.47 | | | | | | | | | | | | | | | | | | | |
% 193.39/30.47 | | | | | | | | | | | | | | | | | | | | ALPHA: (1621) implies:
% 193.39/30.47 | | | | | | | | | | | | | | | | | | | | (1622) op(e1, e0) = e0
% 193.39/30.47 | | | | | | | | | | | | | | | | | | | |
% 193.39/30.47 | | | | | | | | | | | | | | | | | | | | BETA: splitting (217) gives:
% 193.39/30.47 | | | | | | | | | | | | | | | | | | | |
% 193.39/30.47 | | | | | | | | | | | | | | | | | | | | Case 1:
% 193.39/30.47 | | | | | | | | | | | | | | | | | | | | |
% 193.39/30.47 | | | | | | | | | | | | | | | | | | | | | (1623) (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_5 = e0
% 193.39/30.47 | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e0)
% 193.39/30.47 | | | | | | | | | | | | | | | | | | | | |
% 193.39/30.47 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (158), (162), (169),
% 193.39/30.47 | | | | | | | | | | | | | | | | | | | | | (222), (223), (224), (225), (226), (227), (228),
% 193.39/30.47 | | | | | | | | | | | | | | | | | | | | | (1545), (1546), (1551), (1614), (1623),
% 193.39/30.47 | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 193.39/30.47 | | | | | | | | | | | | | | | | | | | | | #1464.
% 193.39/30.47 | | | | | | | | | | | | | | | | | | | | |
% 193.39/30.47 | | | | | | | | | | | | | | | | | | | | Case 2:
% 193.39/30.47 | | | | | | | | | | | | | | | | | | | | |
% 193.39/30.47 | | | | | | | | | | | | | | | | | | | | | (1624) (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_14 =
% 193.39/30.47 | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0)
% 193.39/30.47 | | | | | | | | | | | | | | | | | | | | |
% 193.39/30.47 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1624) gives:
% 193.39/30.47 | | | | | | | | | | | | | | | | | | | | |
% 193.39/30.47 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 193.39/30.47 | | | | | | | | | | | | | | | | | | | | | |
% 193.39/30.48 | | | | | | | | | | | | | | | | | | | | | | (1625) all_56_8 = e0 & op(e1, e1) = e0
% 193.39/30.48 | | | | | | | | | | | | | | | | | | | | | |
% 193.39/30.48 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1625) implies:
% 193.39/30.48 | | | | | | | | | | | | | | | | | | | | | | (1626) op(e1, e1) = e0
% 193.39/30.48 | | | | | | | | | | | | | | | | | | | | | |
% 193.39/30.48 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (1596), (1626), (function-axioms) are
% 193.39/30.48 | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1956.
% 193.39/30.48 | | | | | | | | | | | | | | | | | | | | | |
% 193.39/30.48 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 193.39/30.48 | | | | | | | | | | | | | | | | | | | | | |
% 193.39/30.48 | | | | | | | | | | | | | | | | | | | | | | (1627) all_56_14 = e0 & op(e0, e1) = e0
% 193.39/30.48 | | | | | | | | | | | | | | | | | | | | | |
% 193.39/30.48 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1627) implies:
% 193.39/30.48 | | | | | | | | | | | | | | | | | | | | | | (1628) op(e0, e1) = e0
% 193.39/30.48 | | | | | | | | | | | | | | | | | | | | | |
% 193.39/30.48 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_11,
% 193.39/30.48 | | | | | | | | | | | | | | | | | | | | | | e0, e1, e0, simplifying with (157), (1628) gives:
% 193.39/30.48 | | | | | | | | | | | | | | | | | | | | | | (1629) all_52_11 = e0
% 193.39/30.48 | | | | | | | | | | | | | | | | | | | | | |
% 193.39/30.48 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_14,
% 193.39/30.48 | | | | | | | | | | | | | | | | | | | | | | e0, e0, e1, simplifying with (160), (1622) gives:
% 193.39/30.48 | | | | | | | | | | | | | | | | | | | | | | (1630) all_52_14 = e0
% 193.39/30.48 | | | | | | | | | | | | | | | | | | | | | |
% 193.39/30.48 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (371), (1630) imply:
% 193.39/30.48 | | | | | | | | | | | | | | | | | | | | | | (1631) ~ (all_10_2 = e0)
% 193.39/30.48 | | | | | | | | | | | | | | | | | | | | | |
% 193.39/30.48 | | | | | | | | | | | | | | | | | | | | | | SIMP: (1631) implies:
% 193.39/30.48 | | | | | | | | | | | | | | | | | | | | | | (1632) ~ (all_10_2 = e0)
% 193.39/30.48 | | | | | | | | | | | | | | | | | | | | | |
% 193.39/30.48 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (189) gives:
% 193.39/30.48 | | | | | | | | | | | | | | | | | | | | | |
% 193.39/30.48 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 193.39/30.48 | | | | | | | | | | | | | | | | | | | | | | |
% 193.39/30.48 | | | | | | | | | | | | | | | | | | | | | | | (1633) all_54_15 = e3
% 193.39/30.48 | | | | | | | | | | | | | | | | | | | | | | |
% 193.39/30.48 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (246), (376), (1633) are inconsistent by sub-proof
% 193.39/30.48 | | | | | | | | | | | | | | | | | | | | | | | #1900.
% 193.39/30.48 | | | | | | | | | | | | | | | | | | | | | | |
% 193.39/30.48 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 193.39/30.48 | | | | | | | | | | | | | | | | | | | | | | |
% 193.39/30.48 | | | | | | | | | | | | | | | | | | | | | | | (1634) ~ (all_54_15 = e3)
% 193.39/30.48 | | | | | | | | | | | | | | | | | | | | | | | (1635) all_54_15 = e2 | all_54_15 = e1 | all_54_15 = e0
% 193.39/30.48 | | | | | | | | | | | | | | | | | | | | | | |
% 193.39/30.48 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1635) gives:
% 193.39/30.48 | | | | | | | | | | | | | | | | | | | | | | |
% 193.39/30.48 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 193.39/30.48 | | | | | | | | | | | | | | | | | | | | | | | |
% 193.39/30.48 | | | | | | | | | | | | | | | | | | | | | | | | (1636) all_54_15 = e2
% 193.39/30.48 | | | | | | | | | | | | | | | | | | | | | | | |
% 193.39/30.48 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (246), (1577), (1636) are inconsistent by
% 193.39/30.48 | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1899.
% 193.39/30.48 | | | | | | | | | | | | | | | | | | | | | | | |
% 193.39/30.48 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 193.39/30.48 | | | | | | | | | | | | | | | | | | | | | | | |
% 193.39/30.48 | | | | | | | | | | | | | | | | | | | | | | | | (1637) ~ (all_54_15 = e2)
% 193.39/30.48 | | | | | | | | | | | | | | | | | | | | | | | | (1638) all_54_15 = e1 | all_54_15 = e0
% 193.39/30.48 | | | | | | | | | | | | | | | | | | | | | | | |
% 193.39/30.48 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1638) gives:
% 193.39/30.48 | | | | | | | | | | | | | | | | | | | | | | | |
% 193.39/30.48 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 193.39/30.48 | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.39/30.48 | | | | | | | | | | | | | | | | | | | | | | | | | (1639) all_54_15 = e1
% 193.39/30.48 | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.39/30.48 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (246), (1639) imply:
% 193.39/30.48 | | | | | | | | | | | | | | | | | | | | | | | | | (1640) all_10_2 = e1
% 193.39/30.48 | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.39/30.48 | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1640) implies:
% 193.39/30.48 | | | | | | | | | | | | | | | | | | | | | | | | | (1641) all_10_2 = e1
% 193.39/30.48 | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.39/30.48 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (45), (1641) imply:
% 193.39/30.48 | | | | | | | | | | | | | | | | | | | | | | | | | (1642) op(e0, e0) = e1
% 193.39/30.48 | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.39/30.48 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (239) gives:
% 193.39/30.48 | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.39/30.48 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 193.39/30.48 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.39/30.48 | | | | | | | | | | | | | | | | | | | | | | | | | | (1643) (all_57_1 = e2 & ~ (all_57_3 = e3) & ~ (all_57_8
% 193.39/30.48 | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_10 = e2) & ~ (all_57_12 =
% 193.39/30.48 | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_14 = e0) & op(e3, e3) = e2 &
% 193.39/30.48 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_3 & op(e2, all_57_9) =
% 193.39/30.48 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_8 & op(e2, all_57_11) = all_57_10 &
% 193.39/30.48 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_13) = all_57_12 & op(e2,
% 193.39/30.48 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15) = all_57_14 & op(e2, e3) = all_57_9
% 193.39/30.48 | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = all_57_11 & op(e2, e1) =
% 193.39/30.48 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_13 & op(e2, e0) = all_57_15 &
% 193.39/30.48 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_3) & $i(all_57_8) & $i(all_57_9) &
% 193.39/30.48 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & $i(all_57_11) & $i(all_57_12) &
% 193.39/30.48 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13) & $i(all_57_14) & $i(all_57_15)) |
% 193.39/30.48 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e1 & ~ (all_57_5 = e3) & ~
% 193.39/30.48 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_16 = e3) & ~ (all_57_18 = e2) & ~
% 193.39/30.48 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_22 = e0) & op(e3,
% 193.39/30.48 | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e1 & op(e3, e1) = all_57_5 & op(e1,
% 193.39/30.48 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17) = all_57_16 & op(e1, all_57_19) =
% 193.39/30.48 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_18 & op(e1, all_57_21) = all_57_20 &
% 193.39/30.48 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_23) = all_57_22 & op(e1, e3) =
% 193.39/30.48 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e1, e2) = all_57_19 & op(e1, e1)
% 193.39/30.48 | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_21 & op(e1, e0) = all_57_23 &
% 193.39/30.48 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_16) & $i(all_57_17) &
% 193.39/30.48 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_19) & $i(all_57_20) &
% 193.39/30.48 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_22) & $i(all_57_23)) |
% 193.39/30.48 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e0 & ~ (all_57_7 = e3) & ~
% 193.39/30.48 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 193.39/30.48 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) & op(e3,
% 193.39/30.48 | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e0 & op(e3, e0) = all_57_7 & op(e0,
% 193.39/30.48 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25) = all_57_24 & op(e0, all_57_27) =
% 193.39/30.48 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e0, all_57_29) = all_57_28 &
% 193.39/30.48 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_31) = all_57_30 & op(e0, e3) =
% 193.39/30.48 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_27 & op(e0, e1)
% 193.39/30.48 | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_29 & op(e0, e0) = all_57_31 &
% 193.39/30.48 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7) & $i(all_57_24) & $i(all_57_25) &
% 193.39/30.48 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_27) & $i(all_57_28) &
% 193.39/30.48 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29) & $i(all_57_30) & $i(all_57_31)) |
% 193.39/30.48 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e3 & ~ (all_57_0 = e3) & ~
% 193.39/30.48 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e2) & ~ (all_57_4 = e1) & ~
% 193.39/30.48 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_6 = e0) & ~ (all_57_9 = e2) & op(e3,
% 193.39/30.48 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1) = all_57_0 & op(e3, all_57_3) =
% 193.39/30.48 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_2 & op(e3, all_57_5) = all_57_4 & op(e3,
% 193.39/30.48 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7) = all_57_6 & op(e3, e3) = all_57_1 &
% 193.39/30.48 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_3 & op(e3, e1) = all_57_5 &
% 193.39/30.48 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_7 & op(e2, e3) = all_57_9 &
% 193.39/30.48 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e3 & $i(all_57_0) & $i(all_57_1) &
% 193.39/30.48 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_2) & $i(all_57_3) & $i(all_57_4) &
% 193.39/30.48 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 193.39/30.48 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9))
% 193.39/30.48 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.39/30.48 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1643) gives:
% 193.39/30.48 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.39/30.48 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 193.39/30.48 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.39/30.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1644) (all_57_1 = e2 & ~ (all_57_3 = e3) & ~ (all_57_8
% 193.39/30.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_10 = e2) & ~ (all_57_12 =
% 193.39/30.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_14 = e0) & op(e3, e3) = e2 &
% 193.39/30.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_3 & op(e2, all_57_9) =
% 193.39/30.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_8 & op(e2, all_57_11) = all_57_10 &
% 193.39/30.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_13) = all_57_12 & op(e2,
% 193.39/30.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15) = all_57_14 & op(e2, e3) = all_57_9
% 193.39/30.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = all_57_11 & op(e2, e1) =
% 193.39/30.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_13 & op(e2, e0) = all_57_15 &
% 193.39/30.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_3) & $i(all_57_8) & $i(all_57_9) &
% 193.39/30.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & $i(all_57_11) & $i(all_57_12) &
% 193.39/30.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13) & $i(all_57_14) & $i(all_57_15)) |
% 193.39/30.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e1 & ~ (all_57_5 = e3) & ~
% 193.39/30.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_16 = e3) & ~ (all_57_18 = e2) & ~
% 193.39/30.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_22 = e0) & op(e3,
% 193.39/30.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e1 & op(e3, e1) = all_57_5 & op(e1,
% 193.39/30.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17) = all_57_16 & op(e1, all_57_19) =
% 193.39/30.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_18 & op(e1, all_57_21) = all_57_20 &
% 193.39/30.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_23) = all_57_22 & op(e1, e3) =
% 193.39/30.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e1, e2) = all_57_19 & op(e1, e1)
% 193.39/30.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_21 & op(e1, e0) = all_57_23 &
% 193.39/30.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_16) & $i(all_57_17) &
% 193.39/30.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_19) & $i(all_57_20) &
% 193.39/30.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_22) & $i(all_57_23))
% 193.39/30.48 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.39/30.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (1616), (1644), (function-axioms) are
% 193.39/30.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1833.
% 193.39/30.48 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.39/30.48 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 193.39/30.48 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.39/30.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1645) (all_57_1 = e0 & ~ (all_57_7 = e3) & ~
% 193.39/30.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 193.39/30.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) & op(e3,
% 193.39/30.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e0 & op(e3, e0) = all_57_7 & op(e0,
% 193.39/30.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25) = all_57_24 & op(e0, all_57_27) =
% 193.39/30.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e0, all_57_29) = all_57_28 &
% 193.39/30.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_31) = all_57_30 & op(e0, e3) =
% 193.39/30.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_27 & op(e0, e1)
% 193.39/30.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_29 & op(e0, e0) = all_57_31 &
% 193.39/30.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7) & $i(all_57_24) & $i(all_57_25) &
% 193.39/30.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_27) & $i(all_57_28) &
% 193.39/30.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29) & $i(all_57_30) & $i(all_57_31)) |
% 193.39/30.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e3 & ~ (all_57_0 = e3) & ~
% 193.39/30.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e2) & ~ (all_57_4 = e1) & ~
% 193.39/30.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_6 = e0) & ~ (all_57_9 = e2) & op(e3,
% 193.39/30.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1) = all_57_0 & op(e3, all_57_3) =
% 193.39/30.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_2 & op(e3, all_57_5) = all_57_4 & op(e3,
% 193.39/30.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7) = all_57_6 & op(e3, e3) = all_57_1 &
% 193.39/30.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_3 & op(e3, e1) = all_57_5 &
% 193.39/30.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_7 & op(e2, e3) = all_57_9 &
% 193.39/30.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e3 & $i(all_57_0) & $i(all_57_1) &
% 193.39/30.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_2) & $i(all_57_3) & $i(all_57_4) &
% 193.39/30.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 193.39/30.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9))
% 193.39/30.48 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.39/30.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (1551), (1628), (1642), (1645),
% 193.39/30.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 193.39/30.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | #1463.
% 193.39/30.48 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.39/30.48 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 193.39/30.48 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.39/30.48 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 193.39/30.48 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.39/30.48 | | | | | | | | | | | | | | | | | | | | | | | | | | (1646) (all_57_11 = e1 & ~ (all_57_13 = e2) & ~
% 193.39/30.48 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_16 = e3) & ~ (all_57_18 = e2) & ~
% 193.39/30.48 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_22 = e0) & op(e2,
% 193.39/30.48 | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e1 & op(e2, e1) = all_57_13 & op(e1,
% 193.39/30.48 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17) = all_57_16 & op(e1, all_57_19) =
% 193.39/30.48 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_18 & op(e1, all_57_21) = all_57_20 &
% 193.39/30.48 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_23) = all_57_22 & op(e1, e3) =
% 193.39/30.48 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e1, e2) = all_57_19 & op(e1, e1)
% 193.39/30.48 | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_21 & op(e1, e0) = all_57_23 &
% 193.39/30.48 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13) & $i(all_57_16) & $i(all_57_17) &
% 193.39/30.48 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_19) & $i(all_57_20) &
% 193.39/30.48 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_22) & $i(all_57_23)) |
% 193.39/30.48 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e0 & ~ (all_57_15 = e2) & ~
% 193.39/30.48 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 193.39/30.48 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) & op(e2,
% 193.39/30.48 | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e0 & op(e2, e0) = all_57_15 & op(e0,
% 193.39/30.48 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25) = all_57_24 & op(e0, all_57_27) =
% 193.39/30.48 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e0, all_57_29) = all_57_28 &
% 193.39/30.48 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_31) = all_57_30 & op(e0, e3) =
% 193.39/30.48 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_27 & op(e0, e1)
% 193.39/30.48 | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_29 & op(e0, e0) = all_57_31 &
% 193.39/30.48 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & $i(all_57_24) & $i(all_57_25) &
% 193.39/30.48 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_27) & $i(all_57_28) &
% 193.39/30.48 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29) & $i(all_57_30) & $i(all_57_31)) |
% 193.39/30.48 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e3 & ~ (all_57_0 = e3) & ~
% 193.39/30.48 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e2) & ~ (all_57_4 = e1) & ~
% 193.39/30.48 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_6 = e0) & ~ (all_57_17 = e1) & op(e3,
% 193.39/30.48 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1) = all_57_0 & op(e3, all_57_3) =
% 193.39/30.48 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_2 & op(e3, all_57_5) = all_57_4 & op(e3,
% 193.39/30.48 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7) = all_57_6 & op(e3, e3) = all_57_1 &
% 193.39/30.48 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_3 & op(e3, e1) = all_57_5 &
% 193.39/30.48 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_7 & op(e1, e3) = all_57_17 &
% 193.39/30.48 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e3 & $i(all_57_0) & $i(all_57_1) &
% 193.39/30.48 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_2) & $i(all_57_3) & $i(all_57_4) &
% 193.39/30.48 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 193.39/30.48 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_17)) | (all_57_21 = e2 & ~ (all_57_8
% 193.39/30.48 | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_10 = e2) & ~ (all_57_12 =
% 193.39/30.48 | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_14 = e0) & ~ (all_57_19 =
% 193.39/30.48 | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & op(e2, all_57_9) = all_57_8 & op(e2,
% 193.39/30.48 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_11) = all_57_10 & op(e2, all_57_13) =
% 193.39/30.48 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & op(e2, all_57_15) = all_57_14 &
% 193.39/30.48 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_9 & op(e2, e2) = all_57_11 &
% 193.39/30.48 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_57_13 & op(e2, e0) = all_57_15
% 193.39/30.48 | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = all_57_19 & op(e1, e1) = e2 &
% 193.39/30.48 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8) & $i(all_57_9) & $i(all_57_10) &
% 193.39/30.48 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_12) & $i(all_57_13) &
% 193.39/30.48 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & $i(all_57_15) & $i(all_57_19)) |
% 193.39/30.48 | | | | | | | | | | | | | | | | | | | | | | | | | | (op(e0, e0) = all_57_31 & $i(all_57_31) &
% 193.39/30.48 | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_21 = e0 & ~ (all_57_23 = e1) & ~
% 193.39/30.48 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 193.39/30.48 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) &
% 193.39/30.48 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = all_57_23 &
% 193.39/30.48 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_25) = all_57_24 & op(e0,
% 193.39/30.48 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27) = all_57_26 & op(e0, all_57_29)
% 193.39/30.48 | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_28 & op(e0, all_57_31) = all_57_30
% 193.39/30.48 | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e3) = all_57_25 & op(e0, e2) =
% 193.39/30.48 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27 & op(e0, e1) = all_57_29 &
% 193.39/30.48 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23) & $i(all_57_24) &
% 193.39/30.48 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_25) & $i(all_57_26) &
% 193.39/30.48 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27) & $i(all_57_28) &
% 193.39/30.48 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29) & $i(all_57_30)) | (all_57_31
% 193.39/30.48 | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & ~ (all_57_0 = e3) & ~ (all_57_2 =
% 193.39/30.48 | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_4 = e1) & ~ (all_57_6 =
% 193.39/30.48 | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_25 = e0) & op(e3,
% 193.39/30.48 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1) = all_57_0 & op(e3, all_57_3) =
% 193.39/30.48 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_2 & op(e3, all_57_5) = all_57_4 &
% 193.39/30.48 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, all_57_7) = all_57_6 & op(e3, e3) =
% 193.39/30.48 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e2) = all_57_3 & op(e3,
% 193.39/30.48 | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_5 & op(e3, e0) = all_57_7 &
% 193.39/30.48 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_25 & $i(all_57_0) &
% 193.39/30.48 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_2) & $i(all_57_3) &
% 193.39/30.48 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4) & $i(all_57_5) & $i(all_57_6) &
% 193.39/30.48 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7) & $i(all_57_25)) | (all_57_31 =
% 193.39/30.48 | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_8 = e3) & ~ (all_57_10 =
% 193.39/30.48 | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_12 = e1) & ~ (all_57_14
% 193.39/30.48 | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_27 = e0) & op(e2,
% 193.39/30.48 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_9) = all_57_8 & op(e2, all_57_11) =
% 193.39/30.48 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e2, all_57_13) = all_57_12 &
% 193.39/30.48 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_15) = all_57_14 & op(e2, e3) =
% 193.39/30.48 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_9 & op(e2, e2) = all_57_11 & op(e2,
% 193.39/30.48 | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_13 & op(e2, e0) = all_57_15 &
% 193.39/30.48 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_27 & $i(all_57_8) &
% 193.39/30.48 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9) & $i(all_57_10) & $i(all_57_11)
% 193.39/30.48 | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_12) & $i(all_57_13) &
% 193.39/30.48 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & $i(all_57_15) &
% 193.39/30.48 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27)) | (all_57_31 = e1 & ~
% 193.39/30.48 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_16 = e3) & ~ (all_57_18 = e2) & ~
% 193.39/30.48 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_22 = e0) & ~
% 193.39/30.48 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_29 = e0) & op(e1, all_57_17) =
% 193.39/30.48 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_16 & op(e1, all_57_19) = all_57_18 &
% 193.39/30.48 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_21) = all_57_20 & op(e1,
% 193.39/30.48 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23) = all_57_22 & op(e1, e3) =
% 193.39/30.48 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e1, e2) = all_57_19 & op(e1,
% 193.39/30.48 | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_21 & op(e1, e0) = all_57_23 &
% 193.39/30.48 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = all_57_29 & $i(all_57_16) &
% 193.39/30.48 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_17) & $i(all_57_18) &
% 193.39/30.48 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_20) &
% 193.39/30.48 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_22) &
% 193.39/30.48 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23) & $i(all_57_29))))
% 193.39/30.48 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.39/30.48 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1646) gives:
% 193.39/30.48 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.39/30.48 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 193.39/30.48 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.39/30.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1647) (all_57_11 = e1 & ~ (all_57_13 = e2) & ~
% 193.39/30.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_16 = e3) & ~ (all_57_18 = e2) & ~
% 193.39/30.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_22 = e0) & op(e2,
% 193.39/30.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e1 & op(e2, e1) = all_57_13 & op(e1,
% 193.39/30.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17) = all_57_16 & op(e1, all_57_19) =
% 193.39/30.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_18 & op(e1, all_57_21) = all_57_20 &
% 193.39/30.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_23) = all_57_22 & op(e1, e3) =
% 193.39/30.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e1, e2) = all_57_19 & op(e1, e1)
% 193.39/30.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_21 & op(e1, e0) = all_57_23 &
% 193.39/30.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13) & $i(all_57_16) & $i(all_57_17) &
% 193.39/30.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_19) & $i(all_57_20) &
% 193.39/30.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_22) & $i(all_57_23)) |
% 193.39/30.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e0 & ~ (all_57_15 = e2) & ~
% 193.39/30.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 193.39/30.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) & op(e2,
% 193.39/30.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e0 & op(e2, e0) = all_57_15 & op(e0,
% 193.39/30.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25) = all_57_24 & op(e0, all_57_27) =
% 193.39/30.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e0, all_57_29) = all_57_28 &
% 193.39/30.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_31) = all_57_30 & op(e0, e3) =
% 193.39/30.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_27 & op(e0, e1)
% 193.39/30.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_29 & op(e0, e0) = all_57_31 &
% 193.39/30.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & $i(all_57_24) & $i(all_57_25) &
% 193.39/30.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_27) & $i(all_57_28) &
% 193.39/30.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29) & $i(all_57_30) & $i(all_57_31))
% 193.39/30.48 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.39/30.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (1551), (1628), (1642), (1647),
% 193.39/30.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 193.39/30.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | #1462.
% 193.39/30.48 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.39/30.48 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 193.39/30.48 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.39/30.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1648) (all_57_21 = e3 & ~ (all_57_0 = e3) & ~
% 193.39/30.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e2) & ~ (all_57_4 = e1) & ~
% 193.39/30.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_6 = e0) & ~ (all_57_17 = e1) & op(e3,
% 193.39/30.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1) = all_57_0 & op(e3, all_57_3) =
% 193.39/30.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_2 & op(e3, all_57_5) = all_57_4 & op(e3,
% 193.39/30.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7) = all_57_6 & op(e3, e3) = all_57_1 &
% 193.39/30.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_3 & op(e3, e1) = all_57_5 &
% 193.39/30.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_7 & op(e1, e3) = all_57_17 &
% 193.39/30.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e3 & $i(all_57_0) & $i(all_57_1) &
% 193.39/30.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_2) & $i(all_57_3) & $i(all_57_4) &
% 193.39/30.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 193.39/30.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_17)) | (all_57_21 = e2 & ~ (all_57_8
% 193.39/30.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_10 = e2) & ~ (all_57_12 =
% 193.39/30.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_14 = e0) & ~ (all_57_19 =
% 193.39/30.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & op(e2, all_57_9) = all_57_8 & op(e2,
% 193.39/30.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_11) = all_57_10 & op(e2, all_57_13) =
% 193.39/30.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & op(e2, all_57_15) = all_57_14 &
% 193.39/30.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_9 & op(e2, e2) = all_57_11 &
% 193.39/30.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_57_13 & op(e2, e0) = all_57_15
% 193.39/30.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = all_57_19 & op(e1, e1) = e2 &
% 193.39/30.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8) & $i(all_57_9) & $i(all_57_10) &
% 193.39/30.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_12) & $i(all_57_13) &
% 193.39/30.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & $i(all_57_15) & $i(all_57_19)) |
% 193.39/30.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | (op(e0, e0) = all_57_31 & $i(all_57_31) &
% 193.39/30.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_21 = e0 & ~ (all_57_23 = e1) & ~
% 193.39/30.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 193.39/30.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) &
% 193.39/30.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = all_57_23 &
% 193.39/30.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_25) = all_57_24 & op(e0,
% 193.39/30.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27) = all_57_26 & op(e0, all_57_29)
% 193.39/30.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_28 & op(e0, all_57_31) = all_57_30
% 193.39/30.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e3) = all_57_25 & op(e0, e2) =
% 193.39/30.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27 & op(e0, e1) = all_57_29 &
% 193.39/30.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23) & $i(all_57_24) &
% 193.39/30.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_25) & $i(all_57_26) &
% 193.39/30.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27) & $i(all_57_28) &
% 193.39/30.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29) & $i(all_57_30)) | (all_57_31
% 193.39/30.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & ~ (all_57_0 = e3) & ~ (all_57_2 =
% 193.39/30.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_4 = e1) & ~ (all_57_6 =
% 193.39/30.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_25 = e0) & op(e3,
% 193.39/30.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1) = all_57_0 & op(e3, all_57_3) =
% 193.39/30.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_2 & op(e3, all_57_5) = all_57_4 &
% 193.39/30.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, all_57_7) = all_57_6 & op(e3, e3) =
% 193.39/30.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e2) = all_57_3 & op(e3,
% 193.39/30.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_5 & op(e3, e0) = all_57_7 &
% 193.39/30.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_25 & $i(all_57_0) &
% 193.39/30.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_2) & $i(all_57_3) &
% 193.39/30.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4) & $i(all_57_5) & $i(all_57_6) &
% 193.39/30.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7) & $i(all_57_25)) | (all_57_31 =
% 193.39/30.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_8 = e3) & ~ (all_57_10 =
% 193.39/30.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_12 = e1) & ~ (all_57_14
% 193.39/30.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_27 = e0) & op(e2,
% 193.39/30.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_9) = all_57_8 & op(e2, all_57_11) =
% 193.39/30.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e2, all_57_13) = all_57_12 &
% 193.39/30.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_15) = all_57_14 & op(e2, e3) =
% 193.39/30.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_9 & op(e2, e2) = all_57_11 & op(e2,
% 193.39/30.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_13 & op(e2, e0) = all_57_15 &
% 193.39/30.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_27 & $i(all_57_8) &
% 193.39/30.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9) & $i(all_57_10) & $i(all_57_11)
% 193.39/30.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_12) & $i(all_57_13) &
% 193.39/30.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & $i(all_57_15) &
% 193.39/30.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27)) | (all_57_31 = e1 & ~
% 193.39/30.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_16 = e3) & ~ (all_57_18 = e2) & ~
% 193.39/30.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_22 = e0) & ~
% 193.39/30.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_29 = e0) & op(e1, all_57_17) =
% 193.39/30.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_16 & op(e1, all_57_19) = all_57_18 &
% 193.39/30.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_21) = all_57_20 & op(e1,
% 193.39/30.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23) = all_57_22 & op(e1, e3) =
% 193.39/30.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e1, e2) = all_57_19 & op(e1,
% 193.39/30.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_21 & op(e1, e0) = all_57_23 &
% 193.39/30.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = all_57_29 & $i(all_57_16) &
% 193.39/30.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_17) & $i(all_57_18) &
% 193.39/30.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_20) &
% 193.39/30.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_22) &
% 193.39/30.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23) & $i(all_57_29))))
% 193.39/30.48 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.39/30.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1648) gives:
% 193.39/30.48 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.39/30.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 193.39/30.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.39/30.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1649) all_57_21 = e3 & ~ (all_57_0 = e3) & ~ (all_57_2
% 193.39/30.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2) & ~ (all_57_4 = e1) & ~ (all_57_6 = e0)
% 193.39/30.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_17 = e1) & op(e3, all_57_1) =
% 193.39/30.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_0 & op(e3, all_57_3) = all_57_2 & op(e3,
% 193.39/30.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_5) = all_57_4 & op(e3, all_57_7) =
% 193.39/30.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_6 & op(e3, e3) = all_57_1 & op(e3, e2) =
% 193.39/30.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 & op(e3, e1) = all_57_5 & op(e3, e0) =
% 193.39/30.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7 & op(e1, e3) = all_57_17 & op(e1, e1) =
% 193.39/30.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & $i(all_57_0) & $i(all_57_1) & $i(all_57_2) &
% 193.39/30.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_3) & $i(all_57_4) & $i(all_57_5) &
% 193.39/30.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_6) & $i(all_57_7) & $i(all_57_17)
% 193.39/30.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.39/30.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1649) implies:
% 193.39/30.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1650) op(e1, e1) = e3
% 193.39/30.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.39/30.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (1596), (1650), (function-axioms) are
% 193.39/30.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1958.
% 193.39/30.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.39/30.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 193.39/30.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.39/30.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1651) (all_57_21 = e2 & ~ (all_57_8 = e3) & ~
% 193.39/30.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e2) & ~ (all_57_12 = e1) & ~
% 193.39/30.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e0) & ~ (all_57_19 = e1) & op(e2,
% 193.39/30.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_9) = all_57_8 & op(e2, all_57_11) =
% 193.39/30.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e2, all_57_13) = all_57_12 &
% 193.39/30.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_15) = all_57_14 & op(e2, e3) =
% 193.39/30.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_9 & op(e2, e2) = all_57_11 & op(e2, e1) =
% 193.39/30.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_13 & op(e2, e0) = all_57_15 & op(e1, e2)
% 193.39/30.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_19 & op(e1, e1) = e2 & $i(all_57_8) &
% 193.39/30.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9) & $i(all_57_10) & $i(all_57_11) &
% 193.39/30.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & $i(all_57_13) & $i(all_57_14) &
% 193.39/30.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & $i(all_57_19)) | (op(e0, e0) =
% 193.39/30.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_31 & $i(all_57_31) & ((all_57_21 = e0 &
% 193.39/30.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_23 = e1) & ~ (all_57_24 = e3) &
% 193.39/30.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_26 = e2) & ~ (all_57_28 = e1) &
% 193.39/30.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_30 = e0) & op(e1, e1) = e0 &
% 193.39/30.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_23 & op(e0, all_57_25) =
% 193.39/30.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_24 & op(e0, all_57_27) = all_57_26 &
% 193.39/30.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_29) = all_57_28 & op(e0,
% 193.39/30.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_31) = all_57_30 & op(e0, e3) =
% 193.39/30.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_27 & op(e0,
% 193.39/30.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_29 & $i(all_57_23) &
% 193.39/30.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_24) & $i(all_57_25) &
% 193.39/30.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_27) &
% 193.39/30.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28) & $i(all_57_29) &
% 193.39/30.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_31 = e3 & ~
% 193.39/30.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_0 = e3) & ~ (all_57_2 = e2) & ~
% 193.39/30.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1) & ~ (all_57_6 = e0) & ~
% 193.39/30.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_25 = e0) & op(e3, all_57_1) =
% 193.39/30.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_0 & op(e3, all_57_3) = all_57_2 &
% 193.39/30.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, all_57_5) = all_57_4 & op(e3,
% 193.39/30.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7) = all_57_6 & op(e3, e3) =
% 193.39/30.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e2) = all_57_3 & op(e3,
% 193.39/30.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_5 & op(e3, e0) = all_57_7 &
% 193.39/30.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_25 & $i(all_57_0) &
% 193.39/30.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_2) & $i(all_57_3) &
% 193.39/30.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4) & $i(all_57_5) & $i(all_57_6) &
% 193.39/30.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7) & $i(all_57_25)) | (all_57_31 =
% 193.39/30.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_8 = e3) & ~ (all_57_10 =
% 193.39/30.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_12 = e1) & ~ (all_57_14
% 193.39/30.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_27 = e0) & op(e2,
% 193.39/30.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_9) = all_57_8 & op(e2, all_57_11) =
% 193.39/30.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e2, all_57_13) = all_57_12 &
% 193.39/30.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_15) = all_57_14 & op(e2, e3) =
% 193.39/30.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_9 & op(e2, e2) = all_57_11 & op(e2,
% 193.39/30.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_13 & op(e2, e0) = all_57_15 &
% 193.39/30.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_27 & $i(all_57_8) &
% 193.39/30.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9) & $i(all_57_10) & $i(all_57_11)
% 193.39/30.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_12) & $i(all_57_13) &
% 193.39/30.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & $i(all_57_15) &
% 193.39/30.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27)) | (all_57_31 = e1 & ~
% 193.39/30.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_16 = e3) & ~ (all_57_18 = e2) & ~
% 193.39/30.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_22 = e0) & ~
% 193.39/30.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_29 = e0) & op(e1, all_57_17) =
% 193.39/30.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_16 & op(e1, all_57_19) = all_57_18 &
% 193.39/30.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_21) = all_57_20 & op(e1,
% 193.39/30.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23) = all_57_22 & op(e1, e3) =
% 193.39/30.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e1, e2) = all_57_19 & op(e1,
% 193.39/30.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_21 & op(e1, e0) = all_57_23 &
% 193.39/30.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = all_57_29 & $i(all_57_16) &
% 193.39/30.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_17) & $i(all_57_18) &
% 193.39/30.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_20) &
% 193.39/30.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_22) &
% 193.39/30.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23) & $i(all_57_29))))
% 193.39/30.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.39/30.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1651) gives:
% 193.39/30.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.39/30.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 193.39/30.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.39/30.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1652) all_57_21 = e2 & ~ (all_57_8 = e3) & ~
% 193.39/30.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e2) & ~ (all_57_12 = e1) & ~
% 193.39/30.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e0) & ~ (all_57_19 = e1) & op(e2,
% 193.39/30.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_9) = all_57_8 & op(e2, all_57_11) =
% 193.39/30.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e2, all_57_13) = all_57_12 & op(e2,
% 193.39/30.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15) = all_57_14 & op(e2, e3) = all_57_9 &
% 193.39/30.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_11 & op(e2, e1) = all_57_13 &
% 193.39/30.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_15 & op(e1, e2) = all_57_19 &
% 193.39/30.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e2 & $i(all_57_8) & $i(all_57_9) &
% 193.39/30.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & $i(all_57_11) & $i(all_57_12) &
% 193.39/30.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13) & $i(all_57_14) & $i(all_57_15) &
% 193.39/30.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19)
% 193.39/30.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.39/30.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1652) implies:
% 193.39/30.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1653) op(e1, e1) = e2
% 193.39/30.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.39/30.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (1596), (1653), (function-axioms) are
% 193.39/30.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1957.
% 193.39/30.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.39/30.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 193.39/30.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.39/30.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1654) op(e0, e0) = all_57_31 & $i(all_57_31) &
% 193.39/30.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_21 = e0 & ~ (all_57_23 = e1) & ~
% 193.39/30.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 193.39/30.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) &
% 193.39/30.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = all_57_23 &
% 193.39/30.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_25) = all_57_24 & op(e0,
% 193.39/30.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27) = all_57_26 & op(e0, all_57_29) =
% 193.39/30.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_28 & op(e0, all_57_31) = all_57_30 &
% 193.39/30.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_25 & op(e0, e2) =
% 193.39/30.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27 & op(e0, e1) = all_57_29 &
% 193.39/30.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23) & $i(all_57_24) & $i(all_57_25)
% 193.39/30.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_26) & $i(all_57_27) &
% 193.39/30.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28) & $i(all_57_29) & $i(all_57_30))
% 193.39/30.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e3 & ~ (all_57_0 = e3) & ~
% 193.39/30.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e2) & ~ (all_57_4 = e1) & ~
% 193.39/30.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_6 = e0) & ~ (all_57_25 = e0) & op(e3,
% 193.39/30.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1) = all_57_0 & op(e3, all_57_3) =
% 193.39/30.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_2 & op(e3, all_57_5) = all_57_4 &
% 193.39/30.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, all_57_7) = all_57_6 & op(e3, e3) =
% 193.39/30.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e2) = all_57_3 & op(e3, e1)
% 193.39/30.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_5 & op(e3, e0) = all_57_7 & op(e0,
% 193.39/30.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_25 & $i(all_57_0) &
% 193.39/30.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_2) & $i(all_57_3) &
% 193.39/30.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4) & $i(all_57_5) & $i(all_57_6) &
% 193.39/30.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7) & $i(all_57_25)) | (all_57_31 =
% 193.39/30.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_8 = e3) & ~ (all_57_10 = e2)
% 193.39/30.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_12 = e1) & ~ (all_57_14 = e0) &
% 193.39/30.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_27 = e0) & op(e2, all_57_9) =
% 193.39/30.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_8 & op(e2, all_57_11) = all_57_10 &
% 193.39/30.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_13) = all_57_12 & op(e2,
% 193.39/30.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15) = all_57_14 & op(e2, e3) =
% 193.39/30.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_9 & op(e2, e2) = all_57_11 & op(e2, e1)
% 193.39/30.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_13 & op(e2, e0) = all_57_15 & op(e0,
% 193.39/30.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_27 & $i(all_57_8) &
% 193.39/30.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9) & $i(all_57_10) & $i(all_57_11) &
% 193.39/30.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & $i(all_57_13) & $i(all_57_14)
% 193.39/30.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_15) & $i(all_57_27)) | (all_57_31
% 193.39/30.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_16 = e3) & ~ (all_57_18 =
% 193.39/30.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_20 = e1) & ~ (all_57_22 =
% 193.39/30.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_29 = e0) & op(e1,
% 193.39/30.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17) = all_57_16 & op(e1, all_57_19) =
% 193.39/30.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_18 & op(e1, all_57_21) = all_57_20 &
% 193.39/30.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_23) = all_57_22 & op(e1, e3) =
% 193.39/30.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e1, e2) = all_57_19 & op(e1,
% 193.39/30.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_21 & op(e1, e0) = all_57_23 &
% 193.39/30.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = all_57_29 & $i(all_57_16) &
% 193.39/30.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_17) & $i(all_57_18) & $i(all_57_19)
% 193.39/30.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_20) & $i(all_57_21) &
% 193.39/30.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_23) &
% 193.39/30.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29)))
% 193.39/30.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.39/30.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1654) implies:
% 193.39/30.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1655) op(e0, e0) = all_57_31
% 193.39/30.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1656) (all_57_21 = e0 & ~ (all_57_23 = e1) & ~
% 193.39/30.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 193.39/30.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) & op(e1,
% 193.39/30.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0 & op(e1, e0) = all_57_23 & op(e0,
% 193.39/30.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25) = all_57_24 & op(e0, all_57_27) =
% 193.39/30.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e0, all_57_29) = all_57_28 &
% 193.39/30.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_31) = all_57_30 & op(e0, e3) =
% 193.39/30.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_27 & op(e0, e1)
% 193.39/30.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_29 & $i(all_57_23) & $i(all_57_24) &
% 193.39/30.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_25) & $i(all_57_26) & $i(all_57_27) &
% 193.39/30.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28) & $i(all_57_29) & $i(all_57_30)) |
% 193.39/30.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e3 & ~ (all_57_0 = e3) & ~
% 193.39/30.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e2) & ~ (all_57_4 = e1) & ~
% 193.39/30.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_6 = e0) & ~ (all_57_25 = e0) & op(e3,
% 193.39/30.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1) = all_57_0 & op(e3, all_57_3) =
% 193.39/30.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_2 & op(e3, all_57_5) = all_57_4 & op(e3,
% 193.39/30.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7) = all_57_6 & op(e3, e3) = all_57_1 &
% 193.39/30.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_3 & op(e3, e1) = all_57_5 &
% 193.39/30.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_7 & op(e0, e3) = all_57_25 &
% 193.39/30.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_0) & $i(all_57_1) & $i(all_57_2) &
% 193.39/30.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_3) & $i(all_57_4) & $i(all_57_5) &
% 193.39/30.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_6) & $i(all_57_7) & $i(all_57_25)) |
% 193.39/30.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e2 & ~ (all_57_8 = e3) & ~
% 193.39/30.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e2) & ~ (all_57_12 = e1) & ~
% 193.39/30.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e0) & ~ (all_57_27 = e0) & op(e2,
% 193.39/30.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_9) = all_57_8 & op(e2, all_57_11) =
% 193.39/30.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e2, all_57_13) = all_57_12 &
% 193.39/30.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_15) = all_57_14 & op(e2, e3) =
% 193.39/30.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_9 & op(e2, e2) = all_57_11 & op(e2, e1) =
% 193.39/30.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_13 & op(e2, e0) = all_57_15 & op(e0, e2)
% 193.39/30.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_27 & $i(all_57_8) & $i(all_57_9) &
% 193.39/30.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & $i(all_57_11) & $i(all_57_12) &
% 193.39/30.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13) & $i(all_57_14) & $i(all_57_15) &
% 193.39/30.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27)) | (all_57_31 = e1 & ~ (all_57_16
% 193.39/30.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_18 = e2) & ~ (all_57_20 =
% 193.39/30.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_22 = e0) & ~ (all_57_29 =
% 193.39/30.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & op(e1, all_57_17) = all_57_16 & op(e1,
% 193.39/30.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_19) = all_57_18 & op(e1, all_57_21) =
% 193.39/30.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20 & op(e1, all_57_23) = all_57_22 &
% 193.39/30.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_17 & op(e1, e2) = all_57_19
% 193.39/30.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = all_57_21 & op(e1, e0) =
% 193.39/30.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23 & op(e0, e1) = all_57_29 &
% 193.39/30.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_16) & $i(all_57_17) & $i(all_57_18) &
% 193.39/30.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_20) & $i(all_57_21) &
% 193.39/30.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_23) & $i(all_57_29))
% 193.39/30.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.39/30.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (8), (1628), (1642), (1655), (1656),
% 193.39/30.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 193.39/30.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1911.
% 193.39/30.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.39/30.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 193.39/30.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.39/30.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 193.39/30.49 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.39/30.49 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 193.39/30.49 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.39/30.49 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 193.39/30.49 | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.39/30.49 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 193.39/30.49 | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.39/30.49 | | | | | | | | | | | | | | | | | | | | | | | | | (1657) all_54_15 = e0
% 193.39/30.49 | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.39/30.49 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (246), (1632), (1657) are inconsistent by
% 193.39/30.49 | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1461.
% 193.39/30.49 | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.39/30.49 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 193.39/30.49 | | | | | | | | | | | | | | | | | | | | | | | |
% 193.39/30.49 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 193.39/30.49 | | | | | | | | | | | | | | | | | | | | | | |
% 193.39/30.49 | | | | | | | | | | | | | | | | | | | | | | End of split
% 193.39/30.49 | | | | | | | | | | | | | | | | | | | | | |
% 193.39/30.49 | | | | | | | | | | | | | | | | | | | | | End of split
% 193.39/30.49 | | | | | | | | | | | | | | | | | | | | |
% 193.39/30.49 | | | | | | | | | | | | | | | | | | | | End of split
% 193.39/30.49 | | | | | | | | | | | | | | | | | | | |
% 193.39/30.49 | | | | | | | | | | | | | | | | | | | End of split
% 193.39/30.49 | | | | | | | | | | | | | | | | | | |
% 193.39/30.49 | | | | | | | | | | | | | | | | | | End of split
% 193.39/30.49 | | | | | | | | | | | | | | | | | |
% 193.39/30.49 | | | | | | | | | | | | | | | | | End of split
% 193.39/30.49 | | | | | | | | | | | | | | | | |
% 193.39/30.49 | | | | | | | | | | | | | | | | Case 2:
% 193.39/30.49 | | | | | | | | | | | | | | | | |
% 193.39/30.49 | | | | | | | | | | | | | | | | | (1658) all_54_10 = e0
% 193.39/30.49 | | | | | | | | | | | | | | | | |
% 193.39/30.49 | | | | | | | | | | | | | | | | | COMBINE_EQS: (335), (1658) imply:
% 193.39/30.49 | | | | | | | | | | | | | | | | | (1659) all_4_2 = e0
% 193.39/30.49 | | | | | | | | | | | | | | | | |
% 193.39/30.49 | | | | | | | | | | | | | | | | | REDUCE: (372), (1659) imply:
% 193.39/30.49 | | | | | | | | | | | | | | | | | (1660) $false
% 193.39/30.49 | | | | | | | | | | | | | | | | |
% 193.39/30.49 | | | | | | | | | | | | | | | | | CLOSE: (1660) is inconsistent.
% 193.39/30.49 | | | | | | | | | | | | | | | | |
% 193.39/30.49 | | | | | | | | | | | | | | | | End of split
% 193.39/30.49 | | | | | | | | | | | | | | | |
% 193.39/30.49 | | | | | | | | | | | | | | | End of split
% 193.39/30.49 | | | | | | | | | | | | | | |
% 193.39/30.49 | | | | | | | | | | | | | | End of split
% 193.39/30.49 | | | | | | | | | | | | | |
% 193.39/30.49 | | | | | | | | | | | | | Case 2:
% 193.39/30.49 | | | | | | | | | | | | | |
% 193.39/30.49 | | | | | | | | | | | | | | (1661) all_32_2 = e3
% 193.39/30.49 | | | | | | | | | | | | | | (1662) op(e3, e1) = all_32_1 & $i(all_32_1) & ( ~
% 193.39/30.49 | | | | | | | | | | | | | | (all_32_1 = e0) | ( ~ (all_32_0 = e2) & op(e0,
% 193.39/30.49 | | | | | | | | | | | | | | e3) = all_32_0 & $i(all_32_0)))
% 193.39/30.49 | | | | | | | | | | | | | |
% 193.39/30.49 | | | | | | | | | | | | | | ALPHA: (1662) implies:
% 193.39/30.49 | | | | | | | | | | | | | | (1663) op(e3, e1) = all_32_1
% 193.39/30.49 | | | | | | | | | | | | | |
% 193.39/30.49 | | | | | | | | | | | | | | COMBINE_EQS: (301), (1661) imply:
% 193.39/30.49 | | | | | | | | | | | | | | (1664) all_4_2 = e3
% 193.39/30.49 | | | | | | | | | | | | | |
% 193.39/30.49 | | | | | | | | | | | | | | SIMP: (1664) implies:
% 193.39/30.49 | | | | | | | | | | | | | | (1665) all_4_2 = e3
% 193.39/30.49 | | | | | | | | | | | | | |
% 193.39/30.49 | | | | | | | | | | | | | | COMBINE_EQS: (295), (1665) imply:
% 193.39/30.49 | | | | | | | | | | | | | | (1666) all_50_2 = e3
% 193.39/30.49 | | | | | | | | | | | | | |
% 193.39/30.49 | | | | | | | | | | | | | | REDUCE: (349), (1665) imply:
% 193.39/30.49 | | | | | | | | | | | | | | (1667) ~ (all_52_2 = e3)
% 193.39/30.49 | | | | | | | | | | | | | |
% 193.39/30.49 | | | | | | | | | | | | | | REDUCE: (360), (1665) imply:
% 193.39/30.49 | | | | | | | | | | | | | | (1668) ~ (all_52_6 = e3)
% 193.39/30.49 | | | | | | | | | | | | | |
% 193.39/30.49 | | | | | | | | | | | | | | REDUCE: (362), (1665) imply:
% 193.39/30.49 | | | | | | | | | | | | | | (1669) ~ (all_52_8 = e3)
% 193.39/30.49 | | | | | | | | | | | | | |
% 193.39/30.49 | | | | | | | | | | | | | | REDUCE: (363), (1665) imply:
% 193.39/30.49 | | | | | | | | | | | | | | (1670) ~ (all_52_9 = e3)
% 193.39/30.49 | | | | | | | | | | | | | |
% 193.39/30.49 | | | | | | | | | | | | | | REDUCE: (365), (1665) imply:
% 193.39/30.49 | | | | | | | | | | | | | | (1671) ~ (all_52_11 = e3)
% 193.39/30.49 | | | | | | | | | | | | | |
% 193.39/30.49 | | | | | | | | | | | | | | REDUCE: (367), (1665) imply:
% 193.39/30.49 | | | | | | | | | | | | | | (1672) ~ (all_52_14 = e3)
% 193.39/30.49 | | | | | | | | | | | | | |
% 193.39/30.49 | | | | | | | | | | | | | | REDUCE: (36), (1665) imply:
% 193.39/30.49 | | | | | | | | | | | | | | (1673) op(e1, e1) = e3
% 193.39/30.49 | | | | | | | | | | | | | |
% 193.39/30.49 | | | | | | | | | | | | | | BETA: splitting (106) gives:
% 193.39/30.49 | | | | | | | | | | | | | |
% 193.39/30.49 | | | | | | | | | | | | | | Case 1:
% 193.39/30.49 | | | | | | | | | | | | | | |
% 193.39/30.49 | | | | | | | | | | | | | | | (1674) ~ (all_50_2 = e3)
% 193.39/30.49 | | | | | | | | | | | | | | |
% 193.39/30.49 | | | | | | | | | | | | | | | REDUCE: (1666), (1674) imply:
% 193.39/30.49 | | | | | | | | | | | | | | | (1675) $false
% 193.39/30.49 | | | | | | | | | | | | | | |
% 193.39/30.49 | | | | | | | | | | | | | | | CLOSE: (1675) is inconsistent.
% 193.39/30.49 | | | | | | | | | | | | | | |
% 193.39/30.49 | | | | | | | | | | | | | | Case 2:
% 193.39/30.49 | | | | | | | | | | | | | | |
% 193.39/30.49 | | | | | | | | | | | | | | | (1676) op(e3, e1) = all_50_1 & $i(all_50_1) & ( ~
% 193.39/30.49 | | | | | | | | | | | | | | | (all_50_1 = e2) | ( ~ (all_50_0 = e0) & op(e2,
% 193.39/30.49 | | | | | | | | | | | | | | | e3) = all_50_0 & $i(all_50_0)))
% 193.39/30.49 | | | | | | | | | | | | | | |
% 193.39/30.49 | | | | | | | | | | | | | | | ALPHA: (1676) implies:
% 193.39/30.49 | | | | | | | | | | | | | | | (1677) op(e3, e1) = all_50_1
% 193.39/30.49 | | | | | | | | | | | | | | |
% 193.39/30.49 | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_8,
% 193.39/30.49 | | | | | | | | | | | | | | | all_32_1, e1, e3, simplifying with (169), (1663)
% 193.39/30.49 | | | | | | | | | | | | | | | gives:
% 193.39/30.49 | | | | | | | | | | | | | | | (1678) all_52_8 = all_32_1
% 193.39/30.49 | | | | | | | | | | | | | | |
% 193.39/30.49 | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_8,
% 193.39/30.49 | | | | | | | | | | | | | | | all_50_1, e1, e3, simplifying with (169), (1677)
% 193.39/30.49 | | | | | | | | | | | | | | | gives:
% 193.39/30.49 | | | | | | | | | | | | | | | (1679) all_52_8 = all_50_1
% 193.39/30.49 | | | | | | | | | | | | | | |
% 193.39/30.49 | | | | | | | | | | | | | | | COMBINE_EQS: (1678), (1679) imply:
% 193.39/30.49 | | | | | | | | | | | | | | | (1680) all_50_1 = all_32_1
% 193.39/30.49 | | | | | | | | | | | | | | |
% 193.39/30.49 | | | | | | | | | | | | | | | SIMP: (1680) implies:
% 193.39/30.49 | | | | | | | | | | | | | | | (1681) all_50_1 = all_32_1
% 193.39/30.49 | | | | | | | | | | | | | | |
% 193.39/30.49 | | | | | | | | | | | | | | | REDUCE: (345), (1678) imply:
% 193.39/30.49 | | | | | | | | | | | | | | | (1682) ~ (all_32_1 = all_14_2)
% 193.39/30.49 | | | | | | | | | | | | | | |
% 193.39/30.49 | | | | | | | | | | | | | | | BETA: splitting (82) gives:
% 193.39/30.49 | | | | | | | | | | | | | | |
% 193.39/30.49 | | | | | | | | | | | | | | | Case 1:
% 193.39/30.49 | | | | | | | | | | | | | | | |
% 193.39/30.49 | | | | | | | | | | | | | | | | (1683) ~ (all_34_2 = e0)
% 193.39/30.49 | | | | | | | | | | | | | | | |
% 193.39/30.49 | | | | | | | | | | | | | | | | REDUCE: (313), (1683) imply:
% 193.39/30.49 | | | | | | | | | | | | | | | | (1684) ~ (all_14_2 = e0)
% 193.39/30.49 | | | | | | | | | | | | | | | |
% 193.39/30.49 | | | | | | | | | | | | | | | | BETA: splitting (204) gives:
% 193.39/30.49 | | | | | | | | | | | | | | | |
% 193.39/30.49 | | | | | | | | | | | | | | | | Case 1:
% 193.39/30.49 | | | | | | | | | | | | | | | | |
% 193.39/30.49 | | | | | | | | | | | | | | | | | (1685) all_54_0 = e3
% 193.39/30.49 | | | | | | | | | | | | | | | | |
% 193.39/30.49 | | | | | | | | | | | | | | | | | COMBINE_EQS: (279), (1685) imply:
% 193.39/30.49 | | | | | | | | | | | | | | | | | (1686) all_14_2 = e3
% 193.39/30.49 | | | | | | | | | | | | | | | | |
% 193.39/30.49 | | | | | | | | | | | | | | | | | SIMP: (1686) implies:
% 193.39/30.49 | | | | | | | | | | | | | | | | | (1687) all_14_2 = e3
% 193.39/30.49 | | | | | | | | | | | | | | | | |
% 193.39/30.49 | | | | | | | | | | | | | | | | | REDUCE: (337), (1687) imply:
% 193.39/30.49 | | | | | | | | | | | | | | | | | (1688) ~ (all_52_1 = e3)
% 193.39/30.49 | | | | | | | | | | | | | | | | |
% 193.39/30.49 | | | | | | | | | | | | | | | | | REDUCE: (343), (1687) imply:
% 193.39/30.49 | | | | | | | | | | | | | | | | | (1689) ~ (all_52_4 = e3)
% 193.39/30.49 | | | | | | | | | | | | | | | | |
% 193.39/30.49 | | | | | | | | | | | | | | | | | REDUCE: (347), (1687) imply:
% 193.39/30.49 | | | | | | | | | | | | | | | | | (1690) ~ (all_52_12 = e3)
% 193.39/30.49 | | | | | | | | | | | | | | | | |
% 193.39/30.49 | | | | | | | | | | | | | | | | | REDUCE: (1682), (1687) imply:
% 193.39/30.49 | | | | | | | | | | | | | | | | | (1691) ~ (all_32_1 = e3)
% 193.39/30.49 | | | | | | | | | | | | | | | | |
% 193.39/30.49 | | | | | | | | | | | | | | | | | REDUCE: (51), (1687) imply:
% 193.39/30.49 | | | | | | | | | | | | | | | | | (1692) op(e3, e3) = e3
% 193.39/30.49 | | | | | | | | | | | | | | | | |
% 193.39/30.49 | | | | | | | | | | | | | | | | | BETA: splitting (209) gives:
% 193.39/30.49 | | | | | | | | | | | | | | | | |
% 193.39/30.49 | | | | | | | | | | | | | | | | | Case 1:
% 193.39/30.49 | | | | | | | | | | | | | | | | | |
% 193.39/30.49 | | | | | | | | | | | | | | | | | | (1693) (all_56_12 = e3 & op(e0, e3) = e3) | (all_56_13 =
% 193.39/30.49 | | | | | | | | | | | | | | | | | | e3 & op(e0, e2) = e3)
% 193.39/30.49 | | | | | | | | | | | | | | | | | |
% 193.39/30.49 | | | | | | | | | | | | | | | | | | BETA: splitting (1693) gives:
% 193.39/30.49 | | | | | | | | | | | | | | | | | |
% 193.39/30.49 | | | | | | | | | | | | | | | | | | Case 1:
% 193.39/30.49 | | | | | | | | | | | | | | | | | | |
% 193.39/30.49 | | | | | | | | | | | | | | | | | | | (1694) all_56_12 = e3 & op(e0, e3) = e3
% 193.39/30.49 | | | | | | | | | | | | | | | | | | |
% 193.39/30.49 | | | | | | | | | | | | | | | | | | | ALPHA: (1694) implies:
% 193.39/30.49 | | | | | | | | | | | | | | | | | | | (1695) all_56_12 = e3
% 193.39/30.49 | | | | | | | | | | | | | | | | | | | (1696) op(e0, e3) = e3
% 193.39/30.49 | | | | | | | | | | | | | | | | | | |
% 193.39/30.49 | | | | | | | | | | | | | | | | | | | BETA: splitting (212) gives:
% 193.39/30.49 | | | | | | | | | | | | | | | | | | |
% 193.39/30.49 | | | | | | | | | | | | | | | | | | | Case 1:
% 193.39/30.49 | | | | | | | | | | | | | | | | | | | |
% 193.39/30.49 | | | | | | | | | | | | | | | | | | | | (1697) (all_56_9 = e3 & op(e3, e0) = e3) | (all_56_10 =
% 193.75/30.49 | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e0) = e3)
% 193.75/30.49 | | | | | | | | | | | | | | | | | | | |
% 193.75/30.49 | | | | | | | | | | | | | | | | | | | | BETA: splitting (1697) gives:
% 193.75/30.49 | | | | | | | | | | | | | | | | | | | |
% 193.75/30.49 | | | | | | | | | | | | | | | | | | | | Case 1:
% 193.75/30.49 | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.49 | | | | | | | | | | | | | | | | | | | | | (1698) all_56_9 = e3 & op(e3, e0) = e3
% 193.75/30.49 | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.49 | | | | | | | | | | | | | | | | | | | | | ALPHA: (1698) implies:
% 193.75/30.49 | | | | | | | | | | | | | | | | | | | | | (1699) op(e3, e0) = e3
% 193.75/30.49 | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.49 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (168), (1690), (1699), (function-axioms) are
% 193.75/30.49 | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1928.
% 193.75/30.49 | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.49 | | | | | | | | | | | | | | | | | | | | Case 2:
% 193.75/30.49 | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.49 | | | | | | | | | | | | | | | | | | | | | (1700) all_56_10 = e3 & op(e2, e0) = e3
% 193.75/30.49 | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.49 | | | | | | | | | | | | | | | | | | | | | ALPHA: (1700) implies:
% 193.75/30.49 | | | | | | | | | | | | | | | | | | | | | (1701) all_56_10 = e3
% 193.75/30.49 | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.49 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (158), (162), (168),
% 193.75/30.49 | | | | | | | | | | | | | | | | | | | | | (169), (170), (222), (223), (224), (225), (226),
% 193.75/30.49 | | | | | | | | | | | | | | | | | | | | | (227), (228), (229), (231), (233), (236), (1545),
% 193.75/30.49 | | | | | | | | | | | | | | | | | | | | | (1546), (1551), (1561), (1669), (1689), (1690),
% 193.75/30.49 | | | | | | | | | | | | | | | | | | | | | (1692), (1695), (1696), (1701), (function-axioms)
% 193.75/30.49 | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1449.
% 193.75/30.49 | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.49 | | | | | | | | | | | | | | | | | | | | End of split
% 193.75/30.49 | | | | | | | | | | | | | | | | | | | |
% 193.75/30.49 | | | | | | | | | | | | | | | | | | | Case 2:
% 193.75/30.49 | | | | | | | | | | | | | | | | | | | |
% 193.75/30.49 | | | | | | | | | | | | | | | | | | | | (1702) (all_56_11 = e3 & op(e1, e0) = e3) | (all_56_15 =
% 193.75/30.49 | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = e3)
% 193.75/30.49 | | | | | | | | | | | | | | | | | | | |
% 193.75/30.49 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (160), (206), (207),
% 193.75/30.49 | | | | | | | | | | | | | | | | | | | | (208), (1672), (1695), (1702), (function-axioms)
% 193.75/30.49 | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1441.
% 193.75/30.49 | | | | | | | | | | | | | | | | | | | |
% 193.75/30.49 | | | | | | | | | | | | | | | | | | | End of split
% 193.75/30.49 | | | | | | | | | | | | | | | | | | |
% 193.75/30.49 | | | | | | | | | | | | | | | | | | Case 2:
% 193.75/30.49 | | | | | | | | | | | | | | | | | | |
% 193.75/30.49 | | | | | | | | | | | | | | | | | | | (1703) all_56_13 = e3 & op(e0, e2) = e3
% 193.75/30.49 | | | | | | | | | | | | | | | | | | |
% 193.75/30.49 | | | | | | | | | | | | | | | | | | | ALPHA: (1703) implies:
% 193.75/30.49 | | | | | | | | | | | | | | | | | | | (1704) all_56_13 = e3
% 193.75/30.49 | | | | | | | | | | | | | | | | | | | (1705) op(e0, e2) = e3
% 193.75/30.49 | | | | | | | | | | | | | | | | | | |
% 193.75/30.49 | | | | | | | | | | | | | | | | | | | BETA: splitting (212) gives:
% 193.75/30.49 | | | | | | | | | | | | | | | | | | |
% 193.75/30.49 | | | | | | | | | | | | | | | | | | | Case 1:
% 193.75/30.49 | | | | | | | | | | | | | | | | | | | |
% 193.75/30.49 | | | | | | | | | | | | | | | | | | | | (1706) (all_56_9 = e3 & op(e3, e0) = e3) | (all_56_10 =
% 193.75/30.49 | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e0) = e3)
% 193.75/30.49 | | | | | | | | | | | | | | | | | | | |
% 193.75/30.49 | | | | | | | | | | | | | | | | | | | | BETA: splitting (1706) gives:
% 193.75/30.49 | | | | | | | | | | | | | | | | | | | |
% 193.75/30.49 | | | | | | | | | | | | | | | | | | | | Case 1:
% 193.75/30.49 | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.49 | | | | | | | | | | | | | | | | | | | | | (1707) all_56_9 = e3 & op(e3, e0) = e3
% 193.75/30.49 | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.49 | | | | | | | | | | | | | | | | | | | | | ALPHA: (1707) implies:
% 193.75/30.49 | | | | | | | | | | | | | | | | | | | | | (1708) op(e3, e0) = e3
% 193.75/30.49 | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.49 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (168), (1690), (1708), (function-axioms) are
% 193.75/30.49 | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1928.
% 193.75/30.49 | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.49 | | | | | | | | | | | | | | | | | | | | Case 2:
% 193.75/30.49 | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.49 | | | | | | | | | | | | | | | | | | | | | (1709) all_56_10 = e3 & op(e2, e0) = e3
% 193.75/30.49 | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.49 | | | | | | | | | | | | | | | | | | | | | ALPHA: (1709) implies:
% 193.75/30.49 | | | | | | | | | | | | | | | | | | | | | (1710) all_56_10 = e3
% 193.75/30.49 | | | | | | | | | | | | | | | | | | | | | (1711) op(e2, e0) = e3
% 193.75/30.49 | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.49 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (235) gives:
% 193.75/30.49 | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.49 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 193.75/30.49 | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.49 | | | | | | | | | | | | | | | | | | | | | | (1712) (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_2 = e3
% 193.75/30.49 | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e3)
% 193.75/30.49 | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.49 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1712) gives:
% 193.75/30.49 | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.49 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 193.75/30.49 | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.50 | | | | | | | | | | | | | | | | | | | | | | | (1713) all_56_0 = e3 & op(e3, e3) = e3
% 193.75/30.50 | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.50 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1713) implies:
% 193.75/30.50 | | | | | | | | | | | | | | | | | | | | | | | (1714) all_56_0 = e3
% 193.75/30.50 | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.50 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_20_1, e3,
% 193.75/30.50 | | | | | | | | | | | | | | | | | | | | | | | e2, e0, simplifying with (1538), (1705) gives:
% 193.75/30.50 | | | | | | | | | | | | | | | | | | | | | | | (1715) all_20_1 = e3
% 193.75/30.50 | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.50 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_13,
% 193.75/30.50 | | | | | | | | | | | | | | | | | | | | | | | e3, e0, e2, simplifying with (164), (1711) gives:
% 193.75/30.50 | | | | | | | | | | | | | | | | | | | | | | | (1716) all_52_13 = e3
% 193.75/30.50 | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.50 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (110), (1716) imply:
% 193.75/30.50 | | | | | | | | | | | | | | | | | | | | | | | (1717) ~ (all_52_14 = e3)
% 193.75/30.50 | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.50 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1572), (1715) imply:
% 193.75/30.50 | | | | | | | | | | | | | | | | | | | | | | | (1718) ~ (all_10_2 = e3)
% 193.75/30.50 | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.50 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1539) gives:
% 193.75/30.50 | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.50 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 193.75/30.50 | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.50 | | | | | | | | | | | | | | | | | | | | | | | | (1719) ~ (all_20_1 = e3)
% 193.75/30.50 | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.50 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1715), (1719) imply:
% 193.75/30.50 | | | | | | | | | | | | | | | | | | | | | | | | (1720) $false
% 193.75/30.50 | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.50 | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1720) is inconsistent.
% 193.75/30.50 | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.50 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 193.75/30.50 | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.50 | | | | | | | | | | | | | | | | | | | | | | | | (1721) ~ (all_20_0 = e1) & op(e3, e0) = all_20_0 &
% 193.75/30.50 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_20_0)
% 193.75/30.50 | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.50 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1721) implies:
% 193.75/30.50 | | | | | | | | | | | | | | | | | | | | | | | | (1722) ~ (all_20_0 = e1)
% 193.75/30.50 | | | | | | | | | | | | | | | | | | | | | | | | (1723) op(e3, e0) = all_20_0
% 193.75/30.50 | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.50 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_12,
% 193.75/30.50 | | | | | | | | | | | | | | | | | | | | | | | | all_20_0, e0, e3, simplifying with (168), (1723)
% 193.75/30.50 | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 193.75/30.50 | | | | | | | | | | | | | | | | | | | | | | | | (1724) all_52_12 = all_20_0
% 193.75/30.50 | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.50 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (270), (1724) imply:
% 193.75/30.50 | | | | | | | | | | | | | | | | | | | | | | | | (1725) all_54_3 = all_20_0
% 193.75/30.50 | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.50 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (133), (1724) imply:
% 193.75/30.50 | | | | | | | | | | | | | | | | | | | | | | | | (1726) ~ (all_52_4 = all_20_0)
% 193.75/30.50 | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.50 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (112), (1724) imply:
% 193.75/30.50 | | | | | | | | | | | | | | | | | | | | | | | | (1727) ~ (all_52_14 = all_20_0)
% 193.75/30.50 | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.50 | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1727) implies:
% 193.75/30.50 | | | | | | | | | | | | | | | | | | | | | | | | (1728) ~ (all_52_14 = all_20_0)
% 193.75/30.50 | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.50 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (369), (1724) imply:
% 193.75/30.50 | | | | | | | | | | | | | | | | | | | | | | | | (1729) ~ (all_20_0 = all_10_2)
% 193.75/30.50 | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.50 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1690), (1724) imply:
% 193.75/30.50 | | | | | | | | | | | | | | | | | | | | | | | | (1730) ~ (all_20_0 = e3)
% 193.75/30.50 | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.50 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (91) gives:
% 193.75/30.50 | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.50 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 193.75/30.50 | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.50 | | | | | | | | | | | | | | | | | | | | | | | | | (1731) ~ (all_40_2 = e1)
% 193.75/30.50 | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.50 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (307), (1731) imply:
% 193.75/30.50 | | | | | | | | | | | | | | | | | | | | | | | | | (1732) ~ (all_10_2 = e1)
% 193.75/30.50 | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.50 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (189) gives:
% 193.75/30.50 | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.50 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 193.75/30.50 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.50 | | | | | | | | | | | | | | | | | | | | | | | | | | (1733) all_54_15 = e3
% 193.75/30.50 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.50 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (246), (1733) imply:
% 193.75/30.50 | | | | | | | | | | | | | | | | | | | | | | | | | | (1734) all_10_2 = e3
% 193.75/30.50 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.50 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (376), (1734) imply:
% 193.75/30.50 | | | | | | | | | | | | | | | | | | | | | | | | | | (1735) $false
% 193.75/30.50 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.50 | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1735) is inconsistent.
% 193.75/30.50 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.50 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 193.75/30.50 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.50 | | | | | | | | | | | | | | | | | | | | | | | | | | (1736) ~ (all_54_15 = e3)
% 193.75/30.50 | | | | | | | | | | | | | | | | | | | | | | | | | | (1737) all_54_15 = e2 | all_54_15 = e1 | all_54_15 = e0
% 193.75/30.50 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.50 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1737) gives:
% 193.75/30.50 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.50 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 193.75/30.50 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1738) all_54_15 = e2
% 193.75/30.50 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (246), (1738) imply:
% 193.75/30.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1739) all_10_2 = e2
% 193.75/30.50 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1577), (1739) imply:
% 193.75/30.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1740) $false
% 193.75/30.50 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1740) is inconsistent.
% 193.75/30.50 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.50 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 193.75/30.50 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1741) ~ (all_54_15 = e2)
% 193.75/30.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1742) all_54_15 = e1 | all_54_15 = e0
% 193.75/30.50 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1742) gives:
% 193.75/30.50 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 193.75/30.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1743) all_54_15 = e1
% 193.75/30.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (246), (1743) imply:
% 193.75/30.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1744) all_10_2 = e1
% 193.75/30.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1732), (1744) imply:
% 193.75/30.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1745) $false
% 193.75/30.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1745) is inconsistent.
% 193.75/30.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 193.75/30.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1746) all_54_15 = e0
% 193.75/30.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (246), (1746) imply:
% 193.75/30.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1747) all_10_2 = e0
% 193.75/30.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (371), (1747) imply:
% 193.75/30.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1748) ~ (all_52_14 = e0)
% 193.75/30.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1729), (1747) imply:
% 193.75/30.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1749) ~ (all_20_0 = e0)
% 193.75/30.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (201) gives:
% 193.75/30.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 193.75/30.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1750) all_54_3 = e3
% 193.75/30.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1725), (1750) imply:
% 193.75/30.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1751) all_20_0 = e3
% 193.75/30.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1751) implies:
% 193.75/30.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1752) all_20_0 = e3
% 193.75/30.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1730), (1752) imply:
% 193.75/30.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1753) $false
% 193.75/30.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1753) is inconsistent.
% 193.75/30.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 193.75/30.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1754) ~ (all_54_3 = e3)
% 193.75/30.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1755) all_54_3 = e2 | all_54_3 = e1 | all_54_3 = e0
% 193.75/30.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1755) gives:
% 193.75/30.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 193.75/30.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1756) all_54_3 = e2
% 193.75/30.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1725), (1756) imply:
% 193.75/30.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1757) all_20_0 = e2
% 193.75/30.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1757) implies:
% 193.75/30.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1758) all_20_0 = e2
% 193.75/30.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1726), (1758) imply:
% 193.75/30.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1759) ~ (all_52_4 = e2)
% 193.75/30.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1728), (1758) imply:
% 193.75/30.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1760) ~ (all_52_14 = e2)
% 193.75/30.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1730), (1758) imply:
% 193.75/30.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1761) ~ (e3 = e2)
% 193.75/30.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1723), (1758) imply:
% 193.75/30.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1762) op(e3, e0) = e2
% 193.75/30.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (227) gives:
% 193.75/30.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 193.75/30.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1763) (all_56_1 = e2 & op(e3, e2) = e2) | (all_56_3 = e2
% 193.75/30.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e2)
% 193.75/30.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (170), (1551), (1759), (1763),
% 193.75/30.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 193.75/30.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1440.
% 193.75/30.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 193.75/30.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1764) (all_56_7 = e2 & op(e1, e2) = e2) | (all_56_13 =
% 193.75/30.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e2)
% 193.75/30.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1764) gives:
% 193.75/30.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 193.75/30.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1765) all_56_7 = e2 & op(e1, e2) = e2
% 193.75/30.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1765) implies:
% 193.75/30.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1766) op(e1, e2) = e2
% 193.75/30.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (193) gives:
% 193.75/30.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 193.75/30.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1767) all_54_11 = e3
% 193.75/30.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (250), (1672), (1767) are inconsistent by
% 193.75/30.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1835.
% 193.75/30.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 193.75/30.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1768) all_54_11 = e2 | all_54_11 = e1 | all_54_11 = e0
% 193.75/30.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1768) gives:
% 193.75/30.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 193.75/30.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1769) all_54_11 = e2
% 193.75/30.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (250), (1760), (1769) are inconsistent by
% 193.75/30.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1768.
% 193.75/30.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 193.75/30.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1770) all_54_11 = e1 | all_54_11 = e0
% 193.75/30.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1770) gives:
% 193.75/30.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 193.75/30.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1771) all_54_11 = e1
% 193.75/30.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (250), (1771) imply:
% 193.75/30.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1772) all_52_14 = e1
% 193.75/30.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1772) implies:
% 193.75/30.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1773) all_52_14 = e1
% 193.75/30.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (141), (1773) imply:
% 193.75/30.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1774) ~ (all_52_2 = e1)
% 193.75/30.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (126), (1773) imply:
% 193.75/30.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1775) ~ (all_52_6 = e1)
% 193.75/30.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (238) gives:
% 193.75/30.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 193.75/30.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1776) (all_57_3 = e3 & ~ (all_57_1 = e2) & ~ (all_57_8
% 193.75/30.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_10 = e2) & ~ (all_57_12 =
% 193.75/30.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_14 = e0) & op(e3, e3) =
% 193.75/30.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e2) = e3 & op(e2, all_57_9) =
% 193.75/30.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_8 & op(e2, all_57_11) = all_57_10 &
% 193.75/30.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_13) = all_57_12 & op(e2,
% 193.75/30.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15) = all_57_14 & op(e2, e3) = all_57_9
% 193.75/30.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = all_57_11 & op(e2, e1) =
% 193.75/30.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_13 & op(e2, e0) = all_57_15 &
% 193.75/30.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_8) & $i(all_57_9) &
% 193.75/30.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & $i(all_57_11) & $i(all_57_12) &
% 193.75/30.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13) & $i(all_57_14) & $i(all_57_15)) |
% 193.75/30.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_5 = e3 & ~ (all_57_1 = e1) & ~
% 193.75/30.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_16 = e3) & ~ (all_57_18 = e2) & ~
% 193.75/30.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_22 = e0) & op(e3,
% 193.75/30.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_1 & op(e3, e1) = e3 & op(e1,
% 193.75/30.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17) = all_57_16 & op(e1, all_57_19) =
% 193.75/30.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_18 & op(e1, all_57_21) = all_57_20 &
% 193.75/30.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_23) = all_57_22 & op(e1, e3) =
% 193.75/30.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e1, e2) = all_57_19 & op(e1, e1)
% 193.75/30.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_21 & op(e1, e0) = all_57_23 &
% 193.75/30.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_16) & $i(all_57_17) &
% 193.75/30.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_19) & $i(all_57_20) &
% 193.75/30.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_22) & $i(all_57_23)) |
% 193.75/30.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_7 = e3 & ~ (all_57_1 = e0) & ~
% 193.75/30.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 193.75/30.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) & op(e3,
% 193.75/30.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_1 & op(e3, e0) = e3 & op(e0,
% 193.75/30.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25) = all_57_24 & op(e0, all_57_27) =
% 193.75/30.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e0, all_57_29) = all_57_28 &
% 193.75/30.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_31) = all_57_30 & op(e0, e3) =
% 193.75/30.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_27 & op(e0, e1)
% 193.75/30.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_29 & op(e0, e0) = all_57_31 &
% 193.75/30.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_24) & $i(all_57_25) &
% 193.75/30.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_27) & $i(all_57_28) &
% 193.75/30.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29) & $i(all_57_30) & $i(all_57_31)) |
% 193.75/30.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e2 & ~ (all_57_0 = e3) & ~ (all_57_2
% 193.75/30.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2) & ~ (all_57_4 = e1) & ~ (all_57_6 =
% 193.75/30.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_11 = e3) & op(e3, all_57_1) =
% 193.75/30.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_0 & op(e3, all_57_3) = all_57_2 & op(e3,
% 193.75/30.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_5) = all_57_4 & op(e3, all_57_7) =
% 193.75/30.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_6 & op(e3, e3) = all_57_1 & op(e3, e2) =
% 193.75/30.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 & op(e3, e1) = all_57_5 & op(e3, e0) =
% 193.75/30.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7 & op(e2, e3) = e2 & op(e2, e2) =
% 193.75/30.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_11 & $i(all_57_0) & $i(all_57_1) &
% 193.75/30.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_2) & $i(all_57_3) & $i(all_57_4) &
% 193.75/30.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 193.75/30.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11))
% 193.75/30.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1776) gives:
% 193.75/30.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 193.75/30.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1777) (all_57_3 = e3 & ~ (all_57_1 = e2) & ~ (all_57_8
% 193.75/30.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_10 = e2) & ~ (all_57_12 =
% 193.75/30.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_14 = e0) & op(e3, e3) =
% 193.75/30.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e2) = e3 & op(e2, all_57_9) =
% 193.75/30.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_8 & op(e2, all_57_11) = all_57_10 &
% 193.75/30.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_13) = all_57_12 & op(e2,
% 193.75/30.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15) = all_57_14 & op(e2, e3) = all_57_9
% 193.75/30.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = all_57_11 & op(e2, e1) =
% 193.75/30.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_13 & op(e2, e0) = all_57_15 &
% 193.75/30.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_8) & $i(all_57_9) &
% 193.75/30.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & $i(all_57_11) & $i(all_57_12) &
% 193.75/30.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13) & $i(all_57_14) & $i(all_57_15)) |
% 193.75/30.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_5 = e3 & ~ (all_57_1 = e1) & ~
% 193.75/30.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_16 = e3) & ~ (all_57_18 = e2) & ~
% 193.75/30.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_22 = e0) & op(e3,
% 193.75/30.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_1 & op(e3, e1) = e3 & op(e1,
% 193.75/30.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17) = all_57_16 & op(e1, all_57_19) =
% 193.75/30.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_18 & op(e1, all_57_21) = all_57_20 &
% 193.75/30.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_23) = all_57_22 & op(e1, e3) =
% 193.75/30.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e1, e2) = all_57_19 & op(e1, e1)
% 193.75/30.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_21 & op(e1, e0) = all_57_23 &
% 193.75/30.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_16) & $i(all_57_17) &
% 193.75/30.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_19) & $i(all_57_20) &
% 193.75/30.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_22) & $i(all_57_23))
% 193.75/30.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (169), (170), (1669), (1689), (1777),
% 193.75/30.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 193.75/30.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1929.
% 193.75/30.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 193.75/30.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1778) (all_57_7 = e3 & ~ (all_57_1 = e0) & ~
% 193.75/30.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 193.75/30.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) & op(e3,
% 193.75/30.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_1 & op(e3, e0) = e3 & op(e0,
% 193.75/30.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25) = all_57_24 & op(e0, all_57_27) =
% 193.75/30.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e0, all_57_29) = all_57_28 &
% 193.75/30.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_31) = all_57_30 & op(e0, e3) =
% 193.75/30.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_27 & op(e0, e1)
% 193.75/30.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_29 & op(e0, e0) = all_57_31 &
% 193.75/30.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_24) & $i(all_57_25) &
% 193.75/30.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_27) & $i(all_57_28) &
% 193.75/30.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29) & $i(all_57_30) & $i(all_57_31)) |
% 193.75/30.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e2 & ~ (all_57_0 = e3) & ~ (all_57_2
% 193.75/30.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2) & ~ (all_57_4 = e1) & ~ (all_57_6 =
% 193.75/30.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_11 = e3) & op(e3, all_57_1) =
% 193.75/30.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_0 & op(e3, all_57_3) = all_57_2 & op(e3,
% 193.75/30.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_5) = all_57_4 & op(e3, all_57_7) =
% 193.75/30.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_6 & op(e3, e3) = all_57_1 & op(e3, e2) =
% 193.75/30.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 & op(e3, e1) = all_57_5 & op(e3, e0) =
% 193.75/30.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7 & op(e2, e3) = e2 & op(e2, e2) =
% 193.75/30.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_11 & $i(all_57_0) & $i(all_57_1) &
% 193.75/30.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_2) & $i(all_57_3) & $i(all_57_4) &
% 193.75/30.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 193.75/30.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11))
% 193.75/30.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (1692), (1762), (1778), (function-axioms) are
% 193.75/30.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1439.
% 193.75/30.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 193.75/30.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 193.75/30.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1779) (all_57_13 = e2 & ~ (all_57_11 = e1) & ~
% 193.75/30.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_16 = e3) & ~ (all_57_18 = e2) & ~
% 193.75/30.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_22 = e0) & op(e2,
% 193.75/30.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_11 & op(e2, e1) = e2 & op(e1,
% 193.75/30.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17) = all_57_16 & op(e1, all_57_19) =
% 193.75/30.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_18 & op(e1, all_57_21) = all_57_20 &
% 193.75/30.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_23) = all_57_22 & op(e1, e3) =
% 193.75/30.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e1, e2) = all_57_19 & op(e1, e1)
% 193.75/30.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_21 & op(e1, e0) = all_57_23 &
% 193.75/30.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_16) & $i(all_57_17) &
% 193.75/30.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_19) & $i(all_57_20) &
% 193.75/30.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_22) & $i(all_57_23)) |
% 193.75/30.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e2 & ~ (all_57_11 = e0) & ~
% 193.75/30.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 193.75/30.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) & op(e2,
% 193.75/30.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_11 & op(e2, e0) = e2 & op(e0,
% 193.75/30.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25) = all_57_24 & op(e0, all_57_27) =
% 193.75/30.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e0, all_57_29) = all_57_28 &
% 193.75/30.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_31) = all_57_30 & op(e0, e3) =
% 193.75/30.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_27 & op(e0, e1)
% 193.75/30.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_29 & op(e0, e0) = all_57_31 &
% 193.75/30.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_24) & $i(all_57_25) &
% 193.75/30.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_27) & $i(all_57_28) &
% 193.75/30.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29) & $i(all_57_30) & $i(all_57_31)) |
% 193.75/30.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_17 = e1 & ~ (all_57_0 = e3) & ~
% 193.75/30.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e2) & ~ (all_57_4 = e1) & ~
% 193.75/30.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_6 = e0) & ~ (all_57_21 = e3) & op(e3,
% 193.75/30.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1) = all_57_0 & op(e3, all_57_3) =
% 193.75/30.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_2 & op(e3, all_57_5) = all_57_4 & op(e3,
% 193.75/30.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7) = all_57_6 & op(e3, e3) = all_57_1 &
% 193.75/30.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_3 & op(e3, e1) = all_57_5 &
% 193.75/30.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_7 & op(e1, e3) = e1 & op(e1,
% 193.75/30.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_21 & $i(all_57_0) & $i(all_57_1)
% 193.75/30.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_2) & $i(all_57_3) & $i(all_57_4) &
% 193.75/30.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 193.75/30.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21)) | (all_57_19 = e1 & ~ (all_57_8
% 193.75/30.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_10 = e2) & ~ (all_57_12 =
% 193.75/30.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_14 = e0) & ~ (all_57_21 =
% 193.75/30.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & op(e2, all_57_9) = all_57_8 & op(e2,
% 193.75/30.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_11) = all_57_10 & op(e2, all_57_13) =
% 193.75/30.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & op(e2, all_57_15) = all_57_14 &
% 193.75/30.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_9 & op(e2, e2) = all_57_11 &
% 193.75/30.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_57_13 & op(e2, e0) = all_57_15
% 193.75/30.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e1 & op(e1, e1) = all_57_21 &
% 193.75/30.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8) & $i(all_57_9) & $i(all_57_10) &
% 193.75/30.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_12) & $i(all_57_13) &
% 193.75/30.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & $i(all_57_15) & $i(all_57_21)) |
% 193.75/30.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (op(e0, e0) = all_57_31 & $i(all_57_31) &
% 193.75/30.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_23 = e1 & ~ (all_57_21 = e0) & ~
% 193.75/30.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 193.75/30.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) &
% 193.75/30.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_21 & op(e1, e0) = e1 &
% 193.75/30.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_25) = all_57_24 & op(e0,
% 193.75/30.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27) = all_57_26 & op(e0, all_57_29)
% 193.75/30.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_28 & op(e0, all_57_31) = all_57_30
% 193.75/30.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e3) = all_57_25 & op(e0, e2) =
% 193.75/30.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27 & op(e0, e1) = all_57_29 &
% 193.75/30.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_24) &
% 193.75/30.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_25) & $i(all_57_26) &
% 193.75/30.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27) & $i(all_57_28) &
% 193.75/30.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29) & $i(all_57_30)) | (all_57_25
% 193.75/30.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & ~ (all_57_0 = e3) & ~ (all_57_2 =
% 193.75/30.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_4 = e1) & ~ (all_57_6 =
% 193.75/30.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_31 = e3) & op(e3,
% 193.75/30.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1) = all_57_0 & op(e3, all_57_3) =
% 193.75/30.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_2 & op(e3, all_57_5) = all_57_4 &
% 193.75/30.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, all_57_7) = all_57_6 & op(e3, e3) =
% 193.75/30.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e2) = all_57_3 & op(e3,
% 193.75/30.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_5 & op(e3, e0) = all_57_7 &
% 193.75/30.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_0) &
% 193.75/30.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_2) & $i(all_57_3) &
% 193.75/30.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4) & $i(all_57_5) & $i(all_57_6) &
% 193.75/30.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7)) | (all_57_27 = e0 & ~
% 193.75/30.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e3) & ~ (all_57_10 = e2) & ~
% 193.75/30.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e1) & ~ (all_57_14 = e0) & ~
% 193.75/30.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e2) & op(e2, all_57_9) =
% 193.75/30.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_8 & op(e2, all_57_11) = all_57_10 &
% 193.75/30.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_13) = all_57_12 & op(e2,
% 193.75/30.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15) = all_57_14 & op(e2, e3) =
% 193.75/30.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_9 & op(e2, e2) = all_57_11 & op(e2,
% 193.75/30.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_13 & op(e2, e0) = all_57_15 &
% 193.75/30.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_8) &
% 193.75/30.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9) & $i(all_57_10) & $i(all_57_11)
% 193.75/30.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_12) & $i(all_57_13) &
% 193.75/30.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & $i(all_57_15)) | (all_57_29
% 193.75/30.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & ~ (all_57_16 = e3) & ~ (all_57_18 =
% 193.75/30.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_20 = e1) & ~ (all_57_22
% 193.75/30.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_31 = e1) & op(e1,
% 193.75/30.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17) = all_57_16 & op(e1, all_57_19)
% 193.75/30.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_18 & op(e1, all_57_21) = all_57_20
% 193.75/30.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, all_57_23) = all_57_22 & op(e1, e3)
% 193.75/30.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_17 & op(e1, e2) = all_57_19 &
% 193.75/30.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_21 & op(e1, e0) =
% 193.75/30.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23 & op(e0, e1) = e0 & $i(all_57_16)
% 193.75/30.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_17) & $i(all_57_18) &
% 193.75/30.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_20) &
% 193.75/30.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_22) &
% 193.75/30.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23))))
% 193.75/30.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1779) gives:
% 193.75/30.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 193.75/30.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1780) (all_57_13 = e2 & ~ (all_57_11 = e1) & ~
% 193.75/30.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_16 = e3) & ~ (all_57_18 = e2) & ~
% 193.75/30.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_22 = e0) & op(e2,
% 193.75/30.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_11 & op(e2, e1) = e2 & op(e1,
% 193.75/30.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17) = all_57_16 & op(e1, all_57_19) =
% 193.75/30.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_18 & op(e1, all_57_21) = all_57_20 &
% 193.75/30.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_23) = all_57_22 & op(e1, e3) =
% 193.75/30.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e1, e2) = all_57_19 & op(e1, e1)
% 193.75/30.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_21 & op(e1, e0) = all_57_23 &
% 193.75/30.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_16) & $i(all_57_17) &
% 193.75/30.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_19) & $i(all_57_20) &
% 193.75/30.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_22) & $i(all_57_23)) |
% 193.75/30.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e2 & ~ (all_57_11 = e0) & ~
% 193.75/30.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 193.75/30.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) & op(e2,
% 193.75/30.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_11 & op(e2, e0) = e2 & op(e0,
% 193.75/30.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25) = all_57_24 & op(e0, all_57_27) =
% 193.75/30.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e0, all_57_29) = all_57_28 &
% 193.75/30.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_31) = all_57_30 & op(e0, e3) =
% 193.75/30.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_27 & op(e0, e1)
% 193.75/30.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_29 & op(e0, e0) = all_57_31 &
% 193.75/30.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_24) & $i(all_57_25) &
% 193.75/30.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_27) & $i(all_57_28) &
% 193.75/30.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29) & $i(all_57_30) & $i(all_57_31))
% 193.75/30.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (1551), (1766), (1780), (function-axioms) are
% 193.75/30.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1436.
% 193.75/30.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 193.75/30.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1781) (all_57_17 = e1 & ~ (all_57_0 = e3) & ~
% 193.75/30.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e2) & ~ (all_57_4 = e1) & ~
% 193.75/30.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_6 = e0) & ~ (all_57_21 = e3) & op(e3,
% 193.75/30.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1) = all_57_0 & op(e3, all_57_3) =
% 193.75/30.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_2 & op(e3, all_57_5) = all_57_4 & op(e3,
% 193.75/30.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7) = all_57_6 & op(e3, e3) = all_57_1 &
% 193.75/30.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_3 & op(e3, e1) = all_57_5 &
% 193.75/30.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_7 & op(e1, e3) = e1 & op(e1,
% 193.75/30.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_21 & $i(all_57_0) & $i(all_57_1)
% 193.75/30.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_2) & $i(all_57_3) & $i(all_57_4) &
% 193.75/30.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 193.75/30.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21)) | (all_57_19 = e1 & ~ (all_57_8
% 193.75/30.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_10 = e2) & ~ (all_57_12 =
% 193.75/30.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_14 = e0) & ~ (all_57_21 =
% 193.75/30.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & op(e2, all_57_9) = all_57_8 & op(e2,
% 193.75/30.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_11) = all_57_10 & op(e2, all_57_13) =
% 193.75/30.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & op(e2, all_57_15) = all_57_14 &
% 193.75/30.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_9 & op(e2, e2) = all_57_11 &
% 193.75/30.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_57_13 & op(e2, e0) = all_57_15
% 193.75/30.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e1 & op(e1, e1) = all_57_21 &
% 193.75/30.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8) & $i(all_57_9) & $i(all_57_10) &
% 193.75/30.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_12) & $i(all_57_13) &
% 193.75/30.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & $i(all_57_15) & $i(all_57_21)) |
% 193.75/30.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (op(e0, e0) = all_57_31 & $i(all_57_31) &
% 193.75/30.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_23 = e1 & ~ (all_57_21 = e0) & ~
% 193.75/30.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 193.75/30.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) &
% 193.75/30.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_21 & op(e1, e0) = e1 &
% 193.75/30.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_25) = all_57_24 & op(e0,
% 193.75/30.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27) = all_57_26 & op(e0, all_57_29)
% 193.75/30.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_28 & op(e0, all_57_31) = all_57_30
% 193.75/30.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e3) = all_57_25 & op(e0, e2) =
% 193.75/30.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27 & op(e0, e1) = all_57_29 &
% 193.75/30.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_24) &
% 193.75/30.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_25) & $i(all_57_26) &
% 193.75/30.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27) & $i(all_57_28) &
% 193.75/30.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29) & $i(all_57_30)) | (all_57_25
% 193.75/30.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & ~ (all_57_0 = e3) & ~ (all_57_2 =
% 193.75/30.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_4 = e1) & ~ (all_57_6 =
% 193.75/30.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_31 = e3) & op(e3,
% 193.75/30.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1) = all_57_0 & op(e3, all_57_3) =
% 193.75/30.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_2 & op(e3, all_57_5) = all_57_4 &
% 193.75/30.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, all_57_7) = all_57_6 & op(e3, e3) =
% 193.75/30.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e2) = all_57_3 & op(e3,
% 193.75/30.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_5 & op(e3, e0) = all_57_7 &
% 193.75/30.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_0) &
% 193.75/30.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_2) & $i(all_57_3) &
% 193.75/30.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4) & $i(all_57_5) & $i(all_57_6) &
% 193.75/30.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7)) | (all_57_27 = e0 & ~
% 193.75/30.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e3) & ~ (all_57_10 = e2) & ~
% 193.75/30.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e1) & ~ (all_57_14 = e0) & ~
% 193.75/30.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e2) & op(e2, all_57_9) =
% 193.75/30.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_8 & op(e2, all_57_11) = all_57_10 &
% 193.75/30.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_13) = all_57_12 & op(e2,
% 193.75/30.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15) = all_57_14 & op(e2, e3) =
% 193.75/30.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_9 & op(e2, e2) = all_57_11 & op(e2,
% 193.75/30.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_13 & op(e2, e0) = all_57_15 &
% 193.75/30.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_8) &
% 193.75/30.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9) & $i(all_57_10) & $i(all_57_11)
% 193.75/30.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_12) & $i(all_57_13) &
% 193.75/30.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & $i(all_57_15)) | (all_57_29
% 193.75/30.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & ~ (all_57_16 = e3) & ~ (all_57_18 =
% 193.75/30.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_20 = e1) & ~ (all_57_22
% 193.75/30.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_31 = e1) & op(e1,
% 193.75/30.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17) = all_57_16 & op(e1, all_57_19)
% 193.75/30.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_18 & op(e1, all_57_21) = all_57_20
% 193.75/30.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, all_57_23) = all_57_22 & op(e1, e3)
% 193.75/30.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_17 & op(e1, e2) = all_57_19 &
% 193.75/30.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_21 & op(e1, e0) =
% 193.75/30.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23 & op(e0, e1) = e0 & $i(all_57_16)
% 193.75/30.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_17) & $i(all_57_18) &
% 193.75/30.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_20) &
% 193.75/30.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_22) &
% 193.75/30.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23))))
% 193.75/30.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (45), (91), (157), (158), (159), (160), (162),
% 193.75/30.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (163), (189), (246), (307), (350), (368), (371),
% 193.75/30.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (376), (1546), (1577), (1692), (1774), (1775),
% 193.75/30.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1781), (function-axioms) are inconsistent by
% 193.75/30.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1474.
% 193.75/30.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 193.75/30.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 193.75/30.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 193.75/30.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1782) all_54_11 = e0
% 193.75/30.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (250), (1748), (1782) are inconsistent by
% 193.75/30.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1435.
% 193.75/30.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 193.75/30.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 193.75/30.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 193.75/30.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 193.75/30.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1783) all_56_13 = e2 & op(e0, e2) = e2
% 193.75/30.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (168), (169), (170), (236), (1669), (1689),
% 193.75/30.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1690), (1704), (1714), (1783), (function-axioms)
% 193.75/30.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1434.
% 193.75/30.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 193.75/30.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 193.75/30.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 193.75/30.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1784) all_54_3 = e1 | all_54_3 = e0
% 193.75/30.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1784) gives:
% 193.75/30.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 193.75/30.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1785) all_54_3 = e1
% 193.75/30.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (1722), (1725), (1785) are inconsistent by
% 193.75/30.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1433.
% 193.75/30.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 193.75/30.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1786) all_54_3 = e0
% 193.75/30.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1725), (1786) imply:
% 193.75/30.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1787) all_20_0 = e0
% 193.75/30.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1787) implies:
% 193.75/30.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1788) all_20_0 = e0
% 193.75/30.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1749), (1788) imply:
% 193.75/30.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1789) $false
% 193.75/30.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1789) is inconsistent.
% 193.75/30.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 193.75/30.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 193.75/30.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 193.75/30.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 193.75/30.51 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.51 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 193.75/30.51 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.51 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 193.75/30.51 | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.51 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 193.75/30.51 | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.51 | | | | | | | | | | | | | | | | | | | | | | | | | (1790) all_40_2 = e1
% 193.75/30.51 | | | | | | | | | | | | | | | | | | | | | | | | | (1791) op(e1, e0) = all_40_1 & $i(all_40_1) & ( ~
% 193.75/30.51 | | | | | | | | | | | | | | | | | | | | | | | | | (all_40_1 = e3) | ( ~ (all_40_0 = e2) & op(e3,
% 193.75/30.51 | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_40_0 & $i(all_40_0)))
% 193.75/30.51 | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.51 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1791) implies:
% 193.75/30.51 | | | | | | | | | | | | | | | | | | | | | | | | | (1792) op(e1, e0) = all_40_1
% 193.75/30.51 | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.51 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (307), (1790) imply:
% 193.75/30.51 | | | | | | | | | | | | | | | | | | | | | | | | | (1793) all_10_2 = e1
% 193.75/30.51 | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.51 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (297), (1793) imply:
% 193.75/30.51 | | | | | | | | | | | | | | | | | | | | | | | | | (1794) all_46_2 = e1
% 193.75/30.51 | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.51 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (371), (1793) imply:
% 193.75/30.51 | | | | | | | | | | | | | | | | | | | | | | | | | (1795) ~ (all_52_14 = e1)
% 193.75/30.51 | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.51 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (376), (1793) imply:
% 193.75/30.51 | | | | | | | | | | | | | | | | | | | | | | | | | (1796) ~ (e3 = e1)
% 193.75/30.51 | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.51 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1577), (1793) imply:
% 193.75/30.51 | | | | | | | | | | | | | | | | | | | | | | | | | (1797) ~ (e2 = e1)
% 193.75/30.51 | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.51 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (45), (1793) imply:
% 193.75/30.51 | | | | | | | | | | | | | | | | | | | | | | | | | (1798) op(e0, e0) = e1
% 193.75/30.51 | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.51 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (100) gives:
% 193.75/30.51 | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.51 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 193.75/30.51 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.51 | | | | | | | | | | | | | | | | | | | | | | | | | | (1799) ~ (all_46_2 = e1)
% 193.75/30.51 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.51 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1794), (1799) imply:
% 193.75/30.51 | | | | | | | | | | | | | | | | | | | | | | | | | | (1800) $false
% 193.75/30.51 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.51 | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1800) is inconsistent.
% 193.75/30.51 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.51 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 193.75/30.51 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.51 | | | | | | | | | | | | | | | | | | | | | | | | | | (1801) op(e1, e0) = all_46_1 & $i(all_46_1) & ( ~
% 193.75/30.51 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_46_1 = e2) | ( ~ (all_46_0 = e3) & op(e2,
% 193.75/30.51 | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_46_0 & $i(all_46_0)))
% 193.75/30.51 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.51 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1801) implies:
% 193.75/30.51 | | | | | | | | | | | | | | | | | | | | | | | | | | (1802) op(e1, e0) = all_46_1
% 193.75/30.51 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.51 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (210) gives:
% 193.75/30.51 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.51 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 193.75/30.51 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1803) (all_56_9 = e1 & op(e3, e0) = e1) | (all_56_10 =
% 193.75/30.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e2, e0) = e1)
% 193.75/30.51 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1803) gives:
% 193.75/30.51 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 193.75/30.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1804) all_56_9 = e1 & op(e3, e0) = e1
% 193.75/30.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1804) implies:
% 193.75/30.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1805) all_56_9 = e1
% 193.75/30.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (45), (168), (169),
% 193.75/30.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (170), (206), (211), (212), (236), (376), (1669),
% 193.75/30.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1689), (1690), (1710), (1714), (1798), (1805),
% 193.75/30.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 193.75/30.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1431.
% 193.75/30.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 193.75/30.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1806) all_56_10 = e1 & op(e2, e0) = e1
% 193.75/30.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (1710), (1806) are inconsistent by sub-proof
% 193.75/30.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1814.
% 193.75/30.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 193.75/30.51 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.51 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 193.75/30.51 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1807) (all_56_11 = e1 & op(e1, e0) = e1) | (all_56_15 =
% 193.75/30.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = e1)
% 193.75/30.51 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1807) gives:
% 193.75/30.51 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 193.75/30.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1808) all_56_11 = e1 & op(e1, e0) = e1
% 193.75/30.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1808) implies:
% 193.75/30.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1809) op(e1, e0) = e1
% 193.75/30.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (160), (1795), (1809), (function-axioms) are
% 193.75/30.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1938.
% 193.75/30.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 193.75/30.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1810) all_56_15 = e1 & op(e0, e0) = e1
% 193.75/30.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_14,
% 193.75/30.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_40_1, e0, e1, simplifying with (160), (1792)
% 193.75/30.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 193.75/30.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1811) all_52_14 = all_40_1
% 193.75/30.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_14,
% 193.75/30.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_46_1, e0, e1, simplifying with (160), (1802)
% 193.75/30.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 193.75/30.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1812) all_52_14 = all_46_1
% 193.75/30.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1811), (1812) imply:
% 193.75/30.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1813) all_46_1 = all_40_1
% 193.75/30.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1813) implies:
% 193.75/30.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1814) all_46_1 = all_40_1
% 193.75/30.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1728), (1811) imply:
% 193.75/30.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1815) ~ (all_40_1 = all_20_0)
% 193.75/30.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1672), (1811) imply:
% 193.75/30.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1816) ~ (all_40_1 = e3)
% 193.75/30.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1795), (1811) imply:
% 193.75/30.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1817) ~ (all_40_1 = e1)
% 193.75/30.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (232) gives:
% 193.75/30.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 193.75/30.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1818) (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_1 = e1
% 193.75/30.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e1)
% 193.75/30.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1818) gives:
% 193.75/30.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 193.75/30.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1819) all_56_0 = e1 & op(e3, e3) = e1
% 193.75/30.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1819) implies:
% 193.75/30.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1820) op(e3, e3) = e1
% 193.75/30.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (1692), (1820), (function-axioms) are
% 193.75/30.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1924.
% 193.75/30.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 193.75/30.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1821) all_56_1 = e1 & op(e3, e2) = e1
% 193.75/30.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1821) implies:
% 193.75/30.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1822) all_56_1 = e1
% 193.75/30.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (227) gives:
% 193.75/30.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 193.75/30.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1823) (all_56_1 = e2 & op(e3, e2) = e2) | (all_56_3 = e2
% 193.75/30.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e2)
% 193.75/30.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (1551), (1822), (1823),
% 193.75/30.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 193.75/30.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1430.
% 193.75/30.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 193.75/30.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1824) (all_56_7 = e2 & op(e1, e2) = e2) | (all_56_13 =
% 193.75/30.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e2)
% 193.75/30.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1824) gives:
% 193.75/30.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 193.75/30.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1825) all_56_7 = e2 & op(e1, e2) = e2
% 193.75/30.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1825) implies:
% 193.75/30.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1826) all_56_7 = e2
% 193.75/30.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1827) op(e1, e2) = e2
% 193.75/30.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (214) gives:
% 193.75/30.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 193.75/30.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1828) (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_7 = e1
% 193.75/30.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e1)
% 193.75/30.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1828) gives:
% 193.75/30.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 193.75/30.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1829) all_56_6 = e1 & op(e1, e3) = e1
% 193.75/30.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1829) implies:
% 193.75/30.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1830) all_56_6 = e1
% 193.75/30.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (213) gives:
% 193.75/30.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 193.75/30.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1831) (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_7 = e0
% 193.75/30.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e0)
% 193.75/30.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1831) gives:
% 193.75/30.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 193.75/30.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1832) all_56_6 = e0 & op(e1, e3) = e0
% 193.75/30.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1832) implies:
% 193.75/30.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1833) all_56_6 = e0
% 193.75/30.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (7), (8), (9), (226), (228), (1551),
% 193.75/30.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1822), (1826), (1830), (1833), (function-axioms)
% 193.75/30.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1429.
% 193.75/30.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 193.75/30.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1834) all_56_7 = e0 & op(e1, e2) = e0
% 193.75/30.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1834) implies:
% 193.75/30.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1835) op(e1, e2) = e0
% 193.75/30.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (162), (1545), (1835), (function-axioms) are
% 193.75/30.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1488.
% 193.75/30.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 193.75/30.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 193.75/30.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1836) (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_11 =
% 193.75/30.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e1, e0) = e0)
% 193.75/30.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1836) gives:
% 193.75/30.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 193.75/30.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1837) all_56_8 = e0 & op(e1, e1) = e0
% 193.75/30.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1837) implies:
% 193.75/30.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1838) op(e1, e1) = e0
% 193.75/30.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (1673), (1838), (function-axioms) are
% 193.75/30.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1918.
% 193.75/30.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 193.75/30.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1839) all_56_11 = e0 & op(e1, e0) = e0
% 193.75/30.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1839) implies:
% 193.75/30.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1840) all_56_11 = e0
% 193.75/30.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1841) op(e1, e0) = e0
% 193.75/30.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (211) gives:
% 193.75/30.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 193.75/30.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1842) (all_56_9 = e2 & op(e3, e0) = e2) | (all_56_10 =
% 193.75/30.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2)
% 193.75/30.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1842) gives:
% 193.75/30.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 193.75/30.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1843) all_56_9 = e2 & op(e3, e0) = e2
% 193.75/30.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1843) implies:
% 193.75/30.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1844) op(e3, e0) = e2
% 193.75/30.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_40_1, e0,
% 193.75/30.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0, e1, simplifying with (1792), (1841) gives:
% 193.75/30.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1845) all_40_1 = e0
% 193.75/30.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_6, e2,
% 193.75/30.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2, e1, simplifying with (162), (1827) gives:
% 193.75/30.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1846) all_52_6 = e2
% 193.75/30.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_20_0, e2,
% 193.75/30.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0, e3, simplifying with (1723), (1844) gives:
% 193.75/30.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1847) all_20_0 = e2
% 193.75/30.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1730), (1847) imply:
% 193.75/30.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1848) ~ (e3 = e2)
% 193.75/30.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (238) gives:
% 193.75/30.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 193.75/30.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1849) (all_57_3 = e3 & ~ (all_57_1 = e2) & ~ (all_57_8
% 193.75/30.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_10 = e2) & ~ (all_57_12 =
% 193.75/30.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_14 = e0) & op(e3, e3) =
% 193.75/30.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e2) = e3 & op(e2, all_57_9) =
% 193.75/30.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_8 & op(e2, all_57_11) = all_57_10 &
% 193.75/30.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_13) = all_57_12 & op(e2,
% 193.75/30.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15) = all_57_14 & op(e2, e3) = all_57_9
% 193.75/30.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = all_57_11 & op(e2, e1) =
% 193.75/30.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_13 & op(e2, e0) = all_57_15 &
% 193.75/30.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_8) & $i(all_57_9) &
% 193.75/30.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & $i(all_57_11) & $i(all_57_12) &
% 193.75/30.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13) & $i(all_57_14) & $i(all_57_15)) |
% 193.75/30.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_5 = e3 & ~ (all_57_1 = e1) & ~
% 193.75/30.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_16 = e3) & ~ (all_57_18 = e2) & ~
% 193.75/30.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_22 = e0) & op(e3,
% 193.75/30.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_1 & op(e3, e1) = e3 & op(e1,
% 193.75/30.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17) = all_57_16 & op(e1, all_57_19) =
% 193.75/30.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_18 & op(e1, all_57_21) = all_57_20 &
% 193.75/30.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_23) = all_57_22 & op(e1, e3) =
% 193.75/30.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e1, e2) = all_57_19 & op(e1, e1)
% 193.75/30.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_21 & op(e1, e0) = all_57_23 &
% 193.75/30.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_16) & $i(all_57_17) &
% 193.75/30.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_19) & $i(all_57_20) &
% 193.75/30.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_22) & $i(all_57_23)) |
% 193.75/30.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_7 = e3 & ~ (all_57_1 = e0) & ~
% 193.75/30.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 193.75/30.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) & op(e3,
% 193.75/30.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_1 & op(e3, e0) = e3 & op(e0,
% 193.75/30.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25) = all_57_24 & op(e0, all_57_27) =
% 193.75/30.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e0, all_57_29) = all_57_28 &
% 193.75/30.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_31) = all_57_30 & op(e0, e3) =
% 193.75/30.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_27 & op(e0, e1)
% 193.75/30.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_29 & op(e0, e0) = all_57_31 &
% 193.75/30.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_24) & $i(all_57_25) &
% 193.75/30.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_27) & $i(all_57_28) &
% 193.75/30.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29) & $i(all_57_30) & $i(all_57_31)) |
% 193.75/30.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e2 & ~ (all_57_0 = e3) & ~ (all_57_2
% 193.75/30.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2) & ~ (all_57_4 = e1) & ~ (all_57_6 =
% 193.75/30.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_11 = e3) & op(e3, all_57_1) =
% 193.75/30.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_0 & op(e3, all_57_3) = all_57_2 & op(e3,
% 193.75/30.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_5) = all_57_4 & op(e3, all_57_7) =
% 193.75/30.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_6 & op(e3, e3) = all_57_1 & op(e3, e2) =
% 193.75/30.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 & op(e3, e1) = all_57_5 & op(e3, e0) =
% 193.75/30.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7 & op(e2, e3) = e2 & op(e2, e2) =
% 193.75/30.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_11 & $i(all_57_0) & $i(all_57_1) &
% 193.75/30.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_2) & $i(all_57_3) & $i(all_57_4) &
% 193.75/30.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 193.75/30.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11))
% 193.75/30.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1849) gives:
% 193.75/30.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 193.75/30.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1850) (all_57_3 = e3 & ~ (all_57_1 = e2) & ~ (all_57_8
% 193.75/30.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_10 = e2) & ~ (all_57_12 =
% 193.75/30.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_14 = e0) & op(e3, e3) =
% 193.75/30.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e2) = e3 & op(e2, all_57_9) =
% 193.75/30.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_8 & op(e2, all_57_11) = all_57_10 &
% 193.75/30.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_13) = all_57_12 & op(e2,
% 193.75/30.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15) = all_57_14 & op(e2, e3) = all_57_9
% 193.75/30.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = all_57_11 & op(e2, e1) =
% 193.75/30.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_13 & op(e2, e0) = all_57_15 &
% 193.75/30.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_8) & $i(all_57_9) &
% 193.75/30.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & $i(all_57_11) & $i(all_57_12) &
% 193.75/30.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13) & $i(all_57_14) & $i(all_57_15)) |
% 193.75/30.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_5 = e3 & ~ (all_57_1 = e1) & ~
% 193.75/30.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_16 = e3) & ~ (all_57_18 = e2) & ~
% 193.75/30.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_22 = e0) & op(e3,
% 193.75/30.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_1 & op(e3, e1) = e3 & op(e1,
% 193.75/30.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17) = all_57_16 & op(e1, all_57_19) =
% 193.75/30.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_18 & op(e1, all_57_21) = all_57_20 &
% 193.75/30.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_23) = all_57_22 & op(e1, e3) =
% 193.75/30.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e1, e2) = all_57_19 & op(e1, e1)
% 193.75/30.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_21 & op(e1, e0) = all_57_23 &
% 193.75/30.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_16) & $i(all_57_17) &
% 193.75/30.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_19) & $i(all_57_20) &
% 193.75/30.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_22) & $i(all_57_23))
% 193.75/30.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (170), (1689), (1841), (1850), (function-axioms)
% 193.75/30.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1428.
% 193.75/30.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 193.75/30.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1851) (all_57_7 = e3 & ~ (all_57_1 = e0) & ~
% 193.75/30.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 193.75/30.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) & op(e3,
% 193.75/30.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_1 & op(e3, e0) = e3 & op(e0,
% 193.75/30.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25) = all_57_24 & op(e0, all_57_27) =
% 193.75/30.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e0, all_57_29) = all_57_28 &
% 193.75/30.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_31) = all_57_30 & op(e0, e3) =
% 193.75/30.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_27 & op(e0, e1)
% 193.75/30.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_29 & op(e0, e0) = all_57_31 &
% 193.75/30.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_24) & $i(all_57_25) &
% 193.75/30.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_27) & $i(all_57_28) &
% 193.75/30.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29) & $i(all_57_30) & $i(all_57_31)) |
% 193.75/30.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e2 & ~ (all_57_0 = e3) & ~ (all_57_2
% 193.75/30.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2) & ~ (all_57_4 = e1) & ~ (all_57_6 =
% 193.75/30.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_11 = e3) & op(e3, all_57_1) =
% 193.75/30.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_0 & op(e3, all_57_3) = all_57_2 & op(e3,
% 193.75/30.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_5) = all_57_4 & op(e3, all_57_7) =
% 193.75/30.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_6 & op(e3, e3) = all_57_1 & op(e3, e2) =
% 193.75/30.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 & op(e3, e1) = all_57_5 & op(e3, e0) =
% 193.75/30.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7 & op(e2, e3) = e2 & op(e2, e2) =
% 193.75/30.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_11 & $i(all_57_0) & $i(all_57_1) &
% 193.75/30.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_2) & $i(all_57_3) & $i(all_57_4) &
% 193.75/30.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 193.75/30.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11))
% 193.75/30.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (1692), (1844), (1851), (function-axioms) are
% 193.75/30.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1439.
% 193.75/30.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 193.75/30.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 193.75/30.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1852) (all_57_13 = e2 & ~ (all_57_11 = e1) & ~
% 193.75/30.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_16 = e3) & ~ (all_57_18 = e2) & ~
% 193.75/30.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_22 = e0) & op(e2,
% 193.75/30.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_11 & op(e2, e1) = e2 & op(e1,
% 193.75/30.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17) = all_57_16 & op(e1, all_57_19) =
% 193.75/30.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_18 & op(e1, all_57_21) = all_57_20 &
% 193.75/30.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_23) = all_57_22 & op(e1, e3) =
% 193.75/30.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e1, e2) = all_57_19 & op(e1, e1)
% 193.75/30.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_21 & op(e1, e0) = all_57_23 &
% 193.75/30.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_16) & $i(all_57_17) &
% 193.75/30.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_19) & $i(all_57_20) &
% 193.75/30.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_22) & $i(all_57_23)) |
% 193.75/30.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e2 & ~ (all_57_11 = e0) & ~
% 193.75/30.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 193.75/30.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) & op(e2,
% 193.75/30.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_11 & op(e2, e0) = e2 & op(e0,
% 193.75/30.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25) = all_57_24 & op(e0, all_57_27) =
% 193.75/30.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e0, all_57_29) = all_57_28 &
% 193.75/30.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_31) = all_57_30 & op(e0, e3) =
% 193.75/30.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_27 & op(e0, e1)
% 193.75/30.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_29 & op(e0, e0) = all_57_31 &
% 193.75/30.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_24) & $i(all_57_25) &
% 193.75/30.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_27) & $i(all_57_28) &
% 193.75/30.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29) & $i(all_57_30) & $i(all_57_31)) |
% 193.75/30.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_17 = e1 & ~ (all_57_0 = e3) & ~
% 193.75/30.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e2) & ~ (all_57_4 = e1) & ~
% 193.75/30.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_6 = e0) & ~ (all_57_21 = e3) & op(e3,
% 193.75/30.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1) = all_57_0 & op(e3, all_57_3) =
% 193.75/30.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_2 & op(e3, all_57_5) = all_57_4 & op(e3,
% 193.75/30.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7) = all_57_6 & op(e3, e3) = all_57_1 &
% 193.75/30.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_3 & op(e3, e1) = all_57_5 &
% 193.75/30.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_7 & op(e1, e3) = e1 & op(e1,
% 193.75/30.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_21 & $i(all_57_0) & $i(all_57_1)
% 193.75/30.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_2) & $i(all_57_3) & $i(all_57_4) &
% 193.75/30.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 193.75/30.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21)) | (all_57_19 = e1 & ~ (all_57_8
% 193.75/30.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_10 = e2) & ~ (all_57_12 =
% 193.75/30.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_14 = e0) & ~ (all_57_21 =
% 193.75/30.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & op(e2, all_57_9) = all_57_8 & op(e2,
% 193.75/30.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_11) = all_57_10 & op(e2, all_57_13) =
% 193.75/30.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & op(e2, all_57_15) = all_57_14 &
% 193.75/30.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_9 & op(e2, e2) = all_57_11 &
% 193.75/30.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_57_13 & op(e2, e0) = all_57_15
% 193.75/30.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e1 & op(e1, e1) = all_57_21 &
% 193.75/30.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8) & $i(all_57_9) & $i(all_57_10) &
% 193.75/30.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_12) & $i(all_57_13) &
% 193.75/30.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & $i(all_57_15) & $i(all_57_21)) |
% 193.75/30.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (op(e0, e0) = all_57_31 & $i(all_57_31) &
% 193.75/30.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_23 = e1 & ~ (all_57_21 = e0) & ~
% 193.75/30.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 193.75/30.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) &
% 193.75/30.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_21 & op(e1, e0) = e1 &
% 193.75/30.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_25) = all_57_24 & op(e0,
% 193.75/30.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27) = all_57_26 & op(e0, all_57_29)
% 193.75/30.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_28 & op(e0, all_57_31) = all_57_30
% 193.75/30.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e3) = all_57_25 & op(e0, e2) =
% 193.75/30.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27 & op(e0, e1) = all_57_29 &
% 193.75/30.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_24) &
% 193.75/30.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_25) & $i(all_57_26) &
% 193.75/30.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27) & $i(all_57_28) &
% 193.75/30.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29) & $i(all_57_30)) | (all_57_25
% 193.75/30.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & ~ (all_57_0 = e3) & ~ (all_57_2 =
% 193.75/30.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_4 = e1) & ~ (all_57_6 =
% 193.75/30.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_31 = e3) & op(e3,
% 193.75/30.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1) = all_57_0 & op(e3, all_57_3) =
% 193.75/30.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_2 & op(e3, all_57_5) = all_57_4 &
% 193.75/30.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, all_57_7) = all_57_6 & op(e3, e3) =
% 193.75/30.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e2) = all_57_3 & op(e3,
% 193.75/30.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_5 & op(e3, e0) = all_57_7 &
% 193.75/30.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_0) &
% 193.75/30.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_2) & $i(all_57_3) &
% 193.75/30.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4) & $i(all_57_5) & $i(all_57_6) &
% 193.75/30.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7)) | (all_57_27 = e0 & ~
% 193.75/30.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e3) & ~ (all_57_10 = e2) & ~
% 193.75/30.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e1) & ~ (all_57_14 = e0) & ~
% 193.75/30.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e2) & op(e2, all_57_9) =
% 193.75/30.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_8 & op(e2, all_57_11) = all_57_10 &
% 193.75/30.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_13) = all_57_12 & op(e2,
% 193.75/30.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15) = all_57_14 & op(e2, e3) =
% 193.75/30.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_9 & op(e2, e2) = all_57_11 & op(e2,
% 193.75/30.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_13 & op(e2, e0) = all_57_15 &
% 193.75/30.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_8) &
% 193.75/30.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9) & $i(all_57_10) & $i(all_57_11)
% 193.75/30.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_12) & $i(all_57_13) &
% 193.75/30.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & $i(all_57_15)) | (all_57_29
% 193.75/30.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & ~ (all_57_16 = e3) & ~ (all_57_18 =
% 193.75/30.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_20 = e1) & ~ (all_57_22
% 193.75/30.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_31 = e1) & op(e1,
% 193.75/30.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17) = all_57_16 & op(e1, all_57_19)
% 193.75/30.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_18 & op(e1, all_57_21) = all_57_20
% 193.75/30.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, all_57_23) = all_57_22 & op(e1, e3)
% 193.75/30.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_17 & op(e1, e2) = all_57_19 &
% 193.75/30.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_21 & op(e1, e0) =
% 193.75/30.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23 & op(e0, e1) = e0 & $i(all_57_16)
% 193.75/30.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_17) & $i(all_57_18) &
% 193.75/30.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_20) &
% 193.75/30.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_22) &
% 193.75/30.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23))))
% 193.75/30.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1852) gives:
% 193.75/30.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 193.75/30.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1853) (all_57_13 = e2 & ~ (all_57_11 = e1) & ~
% 193.75/30.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_16 = e3) & ~ (all_57_18 = e2) & ~
% 193.75/30.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_22 = e0) & op(e2,
% 193.75/30.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_11 & op(e2, e1) = e2 & op(e1,
% 193.75/30.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17) = all_57_16 & op(e1, all_57_19) =
% 193.75/30.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_18 & op(e1, all_57_21) = all_57_20 &
% 193.75/30.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_23) = all_57_22 & op(e1, e3) =
% 193.75/30.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e1, e2) = all_57_19 & op(e1, e1)
% 193.75/30.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_21 & op(e1, e0) = all_57_23 &
% 193.75/30.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_16) & $i(all_57_17) &
% 193.75/30.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_19) & $i(all_57_20) &
% 193.75/30.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_22) & $i(all_57_23)) |
% 193.75/30.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e2 & ~ (all_57_11 = e0) & ~
% 193.75/30.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 193.75/30.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) & op(e2,
% 193.75/30.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_11 & op(e2, e0) = e2 & op(e0,
% 193.75/30.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25) = all_57_24 & op(e0, all_57_27) =
% 193.75/30.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e0, all_57_29) = all_57_28 &
% 193.75/30.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_31) = all_57_30 & op(e0, e3) =
% 193.75/30.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_27 & op(e0, e1)
% 193.75/30.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_29 & op(e0, e0) = all_57_31 &
% 193.75/30.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_24) & $i(all_57_25) &
% 193.75/30.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_27) & $i(all_57_28) &
% 193.75/30.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29) & $i(all_57_30) & $i(all_57_31))
% 193.75/30.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (1551), (1841), (1853), (function-axioms) are
% 193.75/30.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1427.
% 193.75/30.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 193.75/30.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1854) (all_57_17 = e1 & ~ (all_57_0 = e3) & ~
% 193.75/30.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e2) & ~ (all_57_4 = e1) & ~
% 193.75/30.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_6 = e0) & ~ (all_57_21 = e3) & op(e3,
% 193.75/30.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1) = all_57_0 & op(e3, all_57_3) =
% 193.75/30.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_2 & op(e3, all_57_5) = all_57_4 & op(e3,
% 193.75/30.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7) = all_57_6 & op(e3, e3) = all_57_1 &
% 193.75/30.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_3 & op(e3, e1) = all_57_5 &
% 193.75/30.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_7 & op(e1, e3) = e1 & op(e1,
% 193.75/30.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_21 & $i(all_57_0) & $i(all_57_1)
% 193.75/30.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_2) & $i(all_57_3) & $i(all_57_4) &
% 193.75/30.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 193.75/30.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21)) | (all_57_19 = e1 & ~ (all_57_8
% 193.75/30.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_10 = e2) & ~ (all_57_12 =
% 193.75/30.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_14 = e0) & ~ (all_57_21 =
% 193.75/30.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & op(e2, all_57_9) = all_57_8 & op(e2,
% 193.75/30.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_11) = all_57_10 & op(e2, all_57_13) =
% 193.75/30.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & op(e2, all_57_15) = all_57_14 &
% 193.75/30.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_9 & op(e2, e2) = all_57_11 &
% 193.75/30.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_57_13 & op(e2, e0) = all_57_15
% 193.75/30.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e1 & op(e1, e1) = all_57_21 &
% 193.75/30.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8) & $i(all_57_9) & $i(all_57_10) &
% 193.75/30.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_12) & $i(all_57_13) &
% 193.75/30.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & $i(all_57_15) & $i(all_57_21)) |
% 193.75/30.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (op(e0, e0) = all_57_31 & $i(all_57_31) &
% 193.75/30.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_23 = e1 & ~ (all_57_21 = e0) & ~
% 193.75/30.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 193.75/30.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) &
% 193.75/30.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_21 & op(e1, e0) = e1 &
% 193.75/30.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_25) = all_57_24 & op(e0,
% 193.75/30.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27) = all_57_26 & op(e0, all_57_29)
% 193.75/30.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_28 & op(e0, all_57_31) = all_57_30
% 193.75/30.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e3) = all_57_25 & op(e0, e2) =
% 193.75/30.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27 & op(e0, e1) = all_57_29 &
% 193.75/30.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_24) &
% 193.75/30.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_25) & $i(all_57_26) &
% 193.75/30.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27) & $i(all_57_28) &
% 193.75/30.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29) & $i(all_57_30)) | (all_57_25
% 193.75/30.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & ~ (all_57_0 = e3) & ~ (all_57_2 =
% 193.75/30.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_4 = e1) & ~ (all_57_6 =
% 193.75/30.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_31 = e3) & op(e3,
% 193.75/30.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1) = all_57_0 & op(e3, all_57_3) =
% 193.75/30.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_2 & op(e3, all_57_5) = all_57_4 &
% 193.75/30.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, all_57_7) = all_57_6 & op(e3, e3) =
% 193.75/30.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e2) = all_57_3 & op(e3,
% 193.75/30.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_5 & op(e3, e0) = all_57_7 &
% 193.75/30.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_0) &
% 193.75/30.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_2) & $i(all_57_3) &
% 193.75/30.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4) & $i(all_57_5) & $i(all_57_6) &
% 193.75/30.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7)) | (all_57_27 = e0 & ~
% 193.75/30.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e3) & ~ (all_57_10 = e2) & ~
% 193.75/30.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e1) & ~ (all_57_14 = e0) & ~
% 193.75/30.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e2) & op(e2, all_57_9) =
% 193.75/30.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_8 & op(e2, all_57_11) = all_57_10 &
% 193.75/30.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_13) = all_57_12 & op(e2,
% 193.75/30.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15) = all_57_14 & op(e2, e3) =
% 193.75/30.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_9 & op(e2, e2) = all_57_11 & op(e2,
% 193.75/30.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_13 & op(e2, e0) = all_57_15 &
% 193.75/30.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_8) &
% 193.75/30.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9) & $i(all_57_10) & $i(all_57_11)
% 193.75/30.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_12) & $i(all_57_13) &
% 193.75/30.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & $i(all_57_15)) | (all_57_29
% 193.75/30.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & ~ (all_57_16 = e3) & ~ (all_57_18 =
% 193.75/30.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_20 = e1) & ~ (all_57_22
% 193.75/30.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_31 = e1) & op(e1,
% 193.75/30.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17) = all_57_16 & op(e1, all_57_19)
% 193.75/30.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_18 & op(e1, all_57_21) = all_57_20
% 193.75/30.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, all_57_23) = all_57_22 & op(e1, e3)
% 193.75/30.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_17 & op(e1, e2) = all_57_19 &
% 193.75/30.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_21 & op(e1, e0) =
% 193.75/30.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23 & op(e0, e1) = e0 & $i(all_57_16)
% 193.75/30.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_17) & $i(all_57_18) &
% 193.75/30.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_20) &
% 193.75/30.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_22) &
% 193.75/30.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23))))
% 193.75/30.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1854) gives:
% 193.75/30.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 193.75/30.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1855) all_57_17 = e1 & ~ (all_57_0 = e3) & ~ (all_57_2
% 193.75/30.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2) & ~ (all_57_4 = e1) & ~ (all_57_6 = e0)
% 193.75/30.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_21 = e3) & op(e3, all_57_1) =
% 193.75/30.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_0 & op(e3, all_57_3) = all_57_2 & op(e3,
% 193.75/30.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_5) = all_57_4 & op(e3, all_57_7) =
% 193.75/30.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_6 & op(e3, e3) = all_57_1 & op(e3, e2) =
% 193.75/30.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 & op(e3, e1) = all_57_5 & op(e3, e0) =
% 193.75/30.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7 & op(e1, e3) = e1 & op(e1, e1) =
% 193.75/30.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_21 & $i(all_57_0) & $i(all_57_1) &
% 193.75/30.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_2) & $i(all_57_3) & $i(all_57_4) &
% 193.75/30.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 193.75/30.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21)
% 193.75/30.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (1673), (1855), (function-axioms) are inconsistent
% 193.75/30.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1926.
% 193.75/30.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 193.75/30.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1856) (all_57_19 = e1 & ~ (all_57_8 = e3) & ~
% 193.75/30.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e2) & ~ (all_57_12 = e1) & ~
% 193.75/30.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e0) & ~ (all_57_21 = e2) & op(e2,
% 193.75/30.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_9) = all_57_8 & op(e2, all_57_11) =
% 193.75/30.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e2, all_57_13) = all_57_12 &
% 193.75/30.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_15) = all_57_14 & op(e2, e3) =
% 193.75/30.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_9 & op(e2, e2) = all_57_11 & op(e2, e1) =
% 193.75/30.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_13 & op(e2, e0) = all_57_15 & op(e1, e2)
% 193.75/30.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & op(e1, e1) = all_57_21 & $i(all_57_8) &
% 193.75/30.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9) & $i(all_57_10) & $i(all_57_11) &
% 193.75/30.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & $i(all_57_13) & $i(all_57_14) &
% 193.75/30.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & $i(all_57_21)) | (op(e0, e0) =
% 193.75/30.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_31 & $i(all_57_31) & ((all_57_23 = e1 &
% 193.75/30.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_21 = e0) & ~ (all_57_24 = e3) &
% 193.75/30.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_26 = e2) & ~ (all_57_28 = e1) &
% 193.75/30.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_30 = e0) & op(e1, e1) = all_57_21
% 193.75/30.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e0) = e1 & op(e0, all_57_25) =
% 193.75/30.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_24 & op(e0, all_57_27) = all_57_26 &
% 193.75/30.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_29) = all_57_28 & op(e0,
% 193.75/30.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_31) = all_57_30 & op(e0, e3) =
% 193.75/30.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_27 & op(e0,
% 193.75/30.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_29 & $i(all_57_21) &
% 193.75/30.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_24) & $i(all_57_25) &
% 193.75/30.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_27) &
% 193.75/30.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28) & $i(all_57_29) &
% 193.75/30.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_25 = e0 & ~
% 193.75/30.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_0 = e3) & ~ (all_57_2 = e2) & ~
% 193.75/30.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1) & ~ (all_57_6 = e0) & ~
% 193.75/30.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e3) & op(e3, all_57_1) =
% 193.75/30.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_0 & op(e3, all_57_3) = all_57_2 &
% 193.75/30.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, all_57_5) = all_57_4 & op(e3,
% 193.75/30.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7) = all_57_6 & op(e3, e3) =
% 193.75/30.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e2) = all_57_3 & op(e3,
% 193.75/30.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_5 & op(e3, e0) = all_57_7 &
% 193.75/30.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_0) &
% 193.75/30.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_2) & $i(all_57_3) &
% 193.75/30.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4) & $i(all_57_5) & $i(all_57_6) &
% 193.75/30.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7)) | (all_57_27 = e0 & ~
% 193.75/30.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e3) & ~ (all_57_10 = e2) & ~
% 193.75/30.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e1) & ~ (all_57_14 = e0) & ~
% 193.75/30.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e2) & op(e2, all_57_9) =
% 193.75/30.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_8 & op(e2, all_57_11) = all_57_10 &
% 193.75/30.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_13) = all_57_12 & op(e2,
% 193.75/30.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15) = all_57_14 & op(e2, e3) =
% 193.75/30.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_9 & op(e2, e2) = all_57_11 & op(e2,
% 193.75/30.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_13 & op(e2, e0) = all_57_15 &
% 193.75/30.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_8) &
% 193.75/30.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9) & $i(all_57_10) & $i(all_57_11)
% 193.75/30.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_12) & $i(all_57_13) &
% 193.75/30.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & $i(all_57_15)) | (all_57_29
% 193.75/30.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & ~ (all_57_16 = e3) & ~ (all_57_18 =
% 193.75/30.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_20 = e1) & ~ (all_57_22
% 193.75/30.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_31 = e1) & op(e1,
% 193.75/30.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17) = all_57_16 & op(e1, all_57_19)
% 193.75/30.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_18 & op(e1, all_57_21) = all_57_20
% 193.75/30.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, all_57_23) = all_57_22 & op(e1, e3)
% 193.75/30.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_17 & op(e1, e2) = all_57_19 &
% 193.75/30.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_21 & op(e1, e0) =
% 193.75/30.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23 & op(e0, e1) = e0 & $i(all_57_16)
% 193.75/30.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_17) & $i(all_57_18) &
% 193.75/30.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_20) &
% 193.75/30.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_22) &
% 193.75/30.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23))))
% 193.75/30.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1856) gives:
% 193.75/30.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 193.75/30.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1857) all_57_19 = e1 & ~ (all_57_8 = e3) & ~
% 193.75/30.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e2) & ~ (all_57_12 = e1) & ~
% 193.75/30.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e0) & ~ (all_57_21 = e2) & op(e2,
% 193.75/30.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_9) = all_57_8 & op(e2, all_57_11) =
% 193.75/30.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e2, all_57_13) = all_57_12 & op(e2,
% 193.75/30.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15) = all_57_14 & op(e2, e3) = all_57_9 &
% 193.75/30.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_11 & op(e2, e1) = all_57_13 &
% 193.75/30.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_15 & op(e1, e2) = e1 & op(e1,
% 193.75/30.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_21 & $i(all_57_8) & $i(all_57_9) &
% 193.75/30.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & $i(all_57_11) & $i(all_57_12) &
% 193.75/30.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13) & $i(all_57_14) & $i(all_57_15) &
% 193.75/30.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21)
% 193.75/30.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1857) implies:
% 193.75/30.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1858) op(e1, e2) = e1
% 193.75/30.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (1827), (1858), (function-axioms) are
% 193.75/30.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1426.
% 193.75/30.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 193.75/30.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1859) op(e0, e0) = all_57_31 & $i(all_57_31) &
% 193.75/30.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_23 = e1 & ~ (all_57_21 = e0) & ~
% 193.75/30.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 193.75/30.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) &
% 193.75/30.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_21 & op(e1, e0) = e1 &
% 193.75/30.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_25) = all_57_24 & op(e0,
% 193.75/30.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27) = all_57_26 & op(e0, all_57_29) =
% 193.75/30.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_28 & op(e0, all_57_31) = all_57_30 &
% 193.75/30.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_25 & op(e0, e2) =
% 193.75/30.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27 & op(e0, e1) = all_57_29 &
% 193.75/30.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_24) & $i(all_57_25)
% 193.75/30.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_26) & $i(all_57_27) &
% 193.75/30.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28) & $i(all_57_29) & $i(all_57_30))
% 193.75/30.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_25 = e0 & ~ (all_57_0 = e3) & ~
% 193.75/30.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e2) & ~ (all_57_4 = e1) & ~
% 193.75/30.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_6 = e0) & ~ (all_57_31 = e3) & op(e3,
% 193.75/30.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1) = all_57_0 & op(e3, all_57_3) =
% 193.75/30.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_2 & op(e3, all_57_5) = all_57_4 &
% 193.75/30.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, all_57_7) = all_57_6 & op(e3, e3) =
% 193.75/30.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e2) = all_57_3 & op(e3, e1)
% 193.75/30.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_5 & op(e3, e0) = all_57_7 & op(e0,
% 193.75/30.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e0 & $i(all_57_0) & $i(all_57_1) &
% 193.75/30.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_2) & $i(all_57_3) & $i(all_57_4) &
% 193.75/30.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_6) & $i(all_57_7)) |
% 193.75/30.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_27 = e0 & ~ (all_57_8 = e3) & ~
% 193.75/30.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e2) & ~ (all_57_12 = e1) & ~
% 193.75/30.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e0) & ~ (all_57_31 = e2) &
% 193.75/30.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_9) = all_57_8 & op(e2,
% 193.75/30.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_11) = all_57_10 & op(e2, all_57_13) =
% 193.75/30.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & op(e2, all_57_15) = all_57_14 &
% 193.75/30.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_9 & op(e2, e2) = all_57_11
% 193.75/30.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = all_57_13 & op(e2, e0) =
% 193.75/30.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15 & op(e0, e2) = e0 & $i(all_57_8) &
% 193.75/30.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9) & $i(all_57_10) & $i(all_57_11) &
% 193.75/30.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & $i(all_57_13) & $i(all_57_14)
% 193.75/30.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_15)) | (all_57_29 = e0 & ~
% 193.75/30.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_16 = e3) & ~ (all_57_18 = e2) & ~
% 193.75/30.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_22 = e0) & ~
% 193.75/30.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e1) & op(e1, all_57_17) =
% 193.75/30.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_16 & op(e1, all_57_19) = all_57_18 &
% 193.75/30.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_21) = all_57_20 & op(e1,
% 193.75/30.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23) = all_57_22 & op(e1, e3) =
% 193.75/30.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e1, e2) = all_57_19 & op(e1,
% 193.75/30.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_21 & op(e1, e0) = all_57_23 &
% 193.75/30.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_16) &
% 193.75/30.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_17) & $i(all_57_18) & $i(all_57_19)
% 193.75/30.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_20) & $i(all_57_21) &
% 193.75/30.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_23)))
% 193.75/30.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1859) implies:
% 193.75/30.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1860) op(e0, e0) = all_57_31
% 193.75/30.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1861) (all_57_23 = e1 & ~ (all_57_21 = e0) & ~
% 193.75/30.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 193.75/30.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) & op(e1,
% 193.75/30.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_21 & op(e1, e0) = e1 & op(e0,
% 193.75/30.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25) = all_57_24 & op(e0, all_57_27) =
% 193.75/30.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e0, all_57_29) = all_57_28 &
% 193.75/30.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_31) = all_57_30 & op(e0, e3) =
% 193.75/30.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_27 & op(e0, e1)
% 193.75/30.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_29 & $i(all_57_21) & $i(all_57_24) &
% 193.75/30.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_25) & $i(all_57_26) & $i(all_57_27) &
% 193.75/30.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28) & $i(all_57_29) & $i(all_57_30)) |
% 193.75/30.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_25 = e0 & ~ (all_57_0 = e3) & ~
% 193.75/30.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e2) & ~ (all_57_4 = e1) & ~
% 193.75/30.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_6 = e0) & ~ (all_57_31 = e3) & op(e3,
% 193.75/30.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1) = all_57_0 & op(e3, all_57_3) =
% 193.75/30.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_2 & op(e3, all_57_5) = all_57_4 & op(e3,
% 193.75/30.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7) = all_57_6 & op(e3, e3) = all_57_1 &
% 193.75/30.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_3 & op(e3, e1) = all_57_5 &
% 193.75/30.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_7 & op(e0, e3) = e0 &
% 193.75/30.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_0) & $i(all_57_1) & $i(all_57_2) &
% 193.75/30.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_3) & $i(all_57_4) & $i(all_57_5) &
% 193.75/30.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_6) & $i(all_57_7)) | (all_57_27 = e0 &
% 193.75/30.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_8 = e3) & ~ (all_57_10 = e2) & ~
% 193.75/30.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e1) & ~ (all_57_14 = e0) & ~
% 193.75/30.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e2) & op(e2, all_57_9) = all_57_8 &
% 193.75/30.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_11) = all_57_10 & op(e2,
% 193.75/30.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_13) = all_57_12 & op(e2, all_57_15) =
% 193.75/30.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_14 & op(e2, e3) = all_57_9 & op(e2, e2) =
% 193.75/30.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_11 & op(e2, e1) = all_57_13 & op(e2, e0)
% 193.75/30.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_15 & op(e0, e2) = e0 & $i(all_57_8) &
% 193.75/30.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9) & $i(all_57_10) & $i(all_57_11) &
% 193.75/30.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & $i(all_57_13) & $i(all_57_14) &
% 193.75/30.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15)) | (all_57_29 = e0 & ~ (all_57_16
% 193.75/30.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_18 = e2) & ~ (all_57_20 =
% 193.75/30.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_22 = e0) & ~ (all_57_31 =
% 193.75/30.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & op(e1, all_57_17) = all_57_16 & op(e1,
% 193.75/30.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_19) = all_57_18 & op(e1, all_57_21) =
% 193.75/30.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20 & op(e1, all_57_23) = all_57_22 &
% 193.75/30.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_17 & op(e1, e2) = all_57_19
% 193.75/30.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = all_57_21 & op(e1, e0) =
% 193.75/30.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23 & op(e0, e1) = e0 & $i(all_57_16) &
% 193.75/30.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_17) & $i(all_57_18) & $i(all_57_19) &
% 193.75/30.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_20) & $i(all_57_21) & $i(all_57_22) &
% 193.75/30.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23))
% 193.75/30.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (45), (91), (157), (158), (159), (160), (189),
% 193.75/30.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (246), (307), (350), (368), (371), (376), (1546),
% 193.75/30.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1577), (1692), (1860), (1861), (function-axioms)
% 193.75/30.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1476.
% 193.75/30.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 193.75/30.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 193.75/30.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 193.75/30.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 193.75/30.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 193.75/30.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1862) all_56_10 = e2 & op(e2, e0) = e2
% 193.75/30.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1862) implies:
% 193.75/30.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1863) all_56_10 = e2
% 193.75/30.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1710), (1863) imply:
% 193.75/30.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1864) e3 = e2
% 193.75/30.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1864) implies:
% 193.75/30.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1865) e3 = e2
% 193.75/30.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1714), (1865) imply:
% 193.75/30.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1866) all_56_0 = e2
% 193.75/30.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (168), (169), (170), (236), (1669), (1689),
% 193.75/30.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1690), (1866), (function-axioms) are inconsistent
% 193.75/30.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1459.
% 193.75/30.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 193.75/30.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 193.75/30.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1867) (all_56_11 = e2 & op(e1, e0) = e2) | (all_56_15 =
% 193.75/30.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = e2)
% 193.75/30.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (1798), (1840), (1867),
% 193.75/30.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 193.75/30.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1702.
% 193.75/30.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 193.75/30.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 193.75/30.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 193.75/30.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 193.75/30.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1868) all_56_7 = e1 & op(e1, e2) = e1
% 193.75/30.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1868) implies:
% 193.75/30.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1869) op(e1, e2) = e1
% 193.75/30.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (1827), (1869), (function-axioms) are
% 193.75/30.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1426.
% 193.75/30.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 193.75/30.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 193.75/30.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1870) (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_11 =
% 193.75/30.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e1, e0) = e1)
% 193.75/30.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (160), (1673), (1795), (1870),
% 193.75/30.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 193.75/30.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1425.
% 193.75/30.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 193.75/30.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 193.75/30.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1871) all_56_13 = e2 & op(e0, e2) = e2
% 193.75/30.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (168), (169), (170), (236), (1669), (1689),
% 193.75/30.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1690), (1704), (1714), (1871), (function-axioms)
% 193.75/30.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1424.
% 193.75/30.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 193.75/30.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 193.75/30.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 193.75/30.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 193.75/30.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1872) (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_9 = e1
% 193.75/30.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e1)
% 193.75/30.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1872) gives:
% 193.75/30.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 193.75/30.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1873) all_56_4 = e1 & op(e3, e1) = e1
% 193.75/30.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1873) implies:
% 193.75/30.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1874) all_56_4 = e1
% 193.75/30.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1875) op(e3, e1) = e1
% 193.75/30.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (217) gives:
% 193.75/30.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 193.75/30.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1876) (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_5 = e0
% 193.75/30.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e0)
% 193.75/30.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1876) gives:
% 193.75/30.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 193.75/30.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1877) all_56_4 = e0 & op(e3, e1) = e0
% 193.75/30.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1877) implies:
% 193.75/30.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1878) all_56_4 = e0
% 193.75/30.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (1874), (1878) are inconsistent by sub-proof
% 193.75/30.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1678.
% 193.75/30.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 193.75/30.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1879) all_56_5 = e0 & op(e2, e1) = e0
% 193.75/30.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1879) implies:
% 193.75/30.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1880) all_56_5 = e0
% 193.75/30.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (158), (162), (222),
% 193.75/30.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (223), (224), (225), (226), (227), (228), (1545),
% 193.75/30.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1546), (1551), (1710), (1880), (function-axioms)
% 193.75/30.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1466.
% 193.75/30.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 193.75/30.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 193.75/30.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1881) (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_14 =
% 193.75/30.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0)
% 193.75/30.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1881) gives:
% 193.75/30.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 193.75/30.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1882) all_56_8 = e0 & op(e1, e1) = e0
% 193.75/30.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1882) implies:
% 193.75/30.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1883) op(e1, e1) = e0
% 193.75/30.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (1673), (1883), (function-axioms) are
% 193.75/30.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1918.
% 193.75/30.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 193.75/30.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1884) all_56_14 = e0 & op(e0, e1) = e0
% 193.75/30.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1884) implies:
% 193.75/30.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1885) op(e0, e1) = e0
% 193.75/30.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (208) gives:
% 193.75/30.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 193.75/30.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1886) (all_56_12 = e2 & op(e0, e3) = e2) | (all_56_13 =
% 193.75/30.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e2)
% 193.75/30.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1886) gives:
% 193.75/30.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 193.75/30.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1887) all_56_12 = e2 & op(e0, e3) = e2
% 193.75/30.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1887) implies:
% 193.75/30.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1888) all_56_12 = e2
% 193.75/30.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1889) op(e0, e3) = e2
% 193.75/30.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (206) gives:
% 193.75/30.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 193.75/30.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1890) all_56_15 = e0 & op(e0, e0) = e0
% 193.75/30.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1890) implies:
% 193.75/30.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1891) op(e0, e0) = e0
% 193.75/30.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (1798), (1891), (function-axioms) are
% 193.75/30.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1708.
% 193.75/30.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 193.75/30.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1892) ((all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 =
% 193.75/30.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_56_11 = e0 &
% 193.75/30.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e0)) & ((all_56_12 = e0 & op(e0,
% 193.75/30.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e0) | (all_56_13 = e0 & op(e0, e2) =
% 193.75/30.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) | (all_56_14 = e0 & op(e0, e1) = e0))
% 193.75/30.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1892) implies:
% 193.75/30.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1893) (all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 =
% 193.75/30.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_56_11 = e0 & op(e1,
% 193.75/30.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e0)
% 193.75/30.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (230) gives:
% 193.75/30.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 193.75/30.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1894) (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_1 = e0
% 193.75/30.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e0)
% 193.75/30.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1894) gives:
% 193.75/30.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 193.75/30.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1895) all_56_0 = e0 & op(e3, e3) = e0
% 193.75/30.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1895) implies:
% 193.75/30.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1896) op(e3, e3) = e0
% 193.75/30.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8), (168), (170), (236), (1689), (1690),
% 193.75/30.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1874), (1896), (function-axioms) are inconsistent
% 193.75/30.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1421.
% 193.75/30.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 193.75/30.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1897) all_56_1 = e0 & op(e3, e2) = e0
% 193.75/30.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1897) implies:
% 193.75/30.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1898) all_56_1 = e0
% 193.75/30.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (226), (227), (228),
% 193.75/30.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1551), (1898), (function-axioms) are inconsistent
% 193.75/30.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1496.
% 193.75/30.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 193.75/30.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 193.75/30.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1899) (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_9 = e0
% 193.75/30.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e0)
% 193.75/30.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1899) gives:
% 193.75/30.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 193.75/30.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1900) all_56_4 = e0 & op(e3, e1) = e0
% 193.75/30.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1900) implies:
% 193.75/30.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1901) all_56_4 = e0
% 193.75/30.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (1874), (1901) are inconsistent by sub-proof
% 193.75/30.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1678.
% 193.75/30.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 193.75/30.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1902) all_56_9 = e0 & op(e3, e0) = e0
% 193.75/30.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1902) implies:
% 193.75/30.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1903) all_56_9 = e0
% 193.75/30.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1904) op(e3, e0) = e0
% 193.75/30.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (234) gives:
% 193.75/30.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 193.75/30.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1905) (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_1 = e2
% 193.75/30.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e2)
% 193.75/30.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1905) gives:
% 193.75/30.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 193.75/30.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1906) all_56_0 = e2 & op(e3, e3) = e2
% 193.75/30.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1906) implies:
% 193.75/30.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1907) all_56_0 = e2
% 193.75/30.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (168), (169), (170), (236), (1669), (1689),
% 193.75/30.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1690), (1907), (function-axioms) are inconsistent
% 193.75/30.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1459.
% 193.75/30.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 193.75/30.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1908) all_56_1 = e2 & op(e3, e2) = e2
% 193.75/30.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1908) implies:
% 193.75/30.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1909) all_56_1 = e2
% 193.75/30.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (226) gives:
% 193.75/30.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 193.75/30.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1910) (all_56_1 = e1 & op(e3, e2) = e1) | (all_56_3 = e1
% 193.75/30.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1)
% 193.75/30.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1910) gives:
% 193.75/30.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 193.75/30.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1911) all_56_1 = e1 & op(e3, e2) = e1
% 193.75/30.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (1909), (1911) are inconsistent by sub-proof
% 193.75/30.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1420.
% 193.75/30.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 193.75/30.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1912) all_56_3 = e1 & op(e2, e2) = e1
% 193.75/30.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1912) implies:
% 193.75/30.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1913) op(e2, e2) = e1
% 193.75/30.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (1551), (1913), (function-axioms) are
% 193.75/30.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1512.
% 193.75/30.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 193.75/30.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 193.75/30.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1914) (all_56_7 = e1 & op(e1, e2) = e1) | (all_56_13 =
% 193.75/30.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e2) = e1)
% 193.75/30.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1914) gives:
% 193.75/30.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 193.75/30.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1915) all_56_7 = e1 & op(e1, e2) = e1
% 193.75/30.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1915) implies:
% 193.75/30.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1916) all_56_7 = e1
% 193.75/30.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (211) gives:
% 193.75/30.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 193.75/30.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1917) (all_56_9 = e2 & op(e3, e0) = e2) | (all_56_10 =
% 193.75/30.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2)
% 193.75/30.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1917) gives:
% 193.75/30.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 193.75/30.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1918) all_56_9 = e2 & op(e3, e0) = e2
% 193.75/30.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1918) implies:
% 193.75/30.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1919) all_56_9 = e2
% 193.75/30.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1903), (1919) imply:
% 193.75/30.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1920) e2 = e0
% 193.75/30.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1909), (1920) imply:
% 193.75/30.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1921) all_56_1 = e0
% 193.75/30.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (226), (227), (228),
% 193.75/30.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1551), (1921), (function-axioms) are inconsistent
% 193.75/30.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1496.
% 193.75/30.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 193.75/30.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1922) all_56_10 = e2 & op(e2, e0) = e2
% 193.75/30.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (168), (169), (170), (236), (1669), (1689),
% 193.75/30.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1690), (1710), (1714), (1922), (function-axioms)
% 193.75/30.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1432.
% 193.75/30.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 193.75/30.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 193.75/30.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1923) (all_56_11 = e2 & op(e1, e0) = e2) | (all_56_15 =
% 193.75/30.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = e2)
% 193.75/30.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1923) gives:
% 193.75/30.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 193.75/30.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1924) all_56_11 = e2 & op(e1, e0) = e2
% 193.75/30.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1924) implies:
% 193.75/30.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1925) all_56_11 = e2
% 193.75/30.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1926) op(e1, e0) = e2
% 193.75/30.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (213) gives:
% 193.75/30.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 193.75/30.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1927) (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_7 = e0
% 193.75/30.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e0)
% 193.75/30.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1927) gives:
% 193.75/30.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 193.75/30.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1928) all_56_6 = e0 & op(e1, e3) = e0
% 193.75/30.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1928) implies:
% 193.75/30.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1929) all_56_6 = e0
% 193.75/30.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (219) gives:
% 193.75/30.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 193.75/30.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1930) (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2
% 193.75/30.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e2)
% 193.75/30.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1930) gives:
% 193.75/30.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 193.75/30.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1931) all_56_4 = e2 & op(e3, e1) = e2
% 193.75/30.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1931) implies:
% 193.75/30.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1932) all_56_4 = e2
% 193.75/30.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (1874), (1932) are inconsistent by sub-proof
% 193.75/30.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1724.
% 193.75/30.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 193.75/30.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1933) all_56_5 = e2 & op(e2, e1) = e2
% 193.75/30.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1933) implies:
% 193.75/30.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1934) all_56_5 = e2
% 193.75/30.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (222) gives:
% 193.75/30.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 193.75/30.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1935) (all_56_2 = e1 & op(e2, e3) = e1) | (all_56_3 = e1
% 193.75/30.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1)
% 193.75/30.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1935) gives:
% 193.75/30.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 193.75/30.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1936) all_56_2 = e1 & op(e2, e3) = e1
% 193.75/30.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1936) implies:
% 193.75/30.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1937) all_56_2 = e1
% 193.75/30.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_11,
% 193.75/30.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0, e1, e0, simplifying with (157), (1885) gives:
% 193.75/30.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1938) all_52_11 = e0
% 193.75/30.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_40_1, e2,
% 193.75/30.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0, e1, simplifying with (1792), (1926) gives:
% 193.75/30.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1939) all_40_1 = e2
% 193.75/30.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_20_0, e0,
% 193.75/30.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0, e3, simplifying with (1723), (1904) gives:
% 193.75/30.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1940) all_20_0 = e0
% 193.75/30.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_32_1, e1,
% 193.75/30.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1, e3, simplifying with (1663), (1875) gives:
% 193.75/30.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1941) all_32_1 = e1
% 193.75/30.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1816), (1939) imply:
% 193.75/30.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1942) ~ (e3 = e2)
% 193.75/30.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (239) gives:
% 193.75/30.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 193.75/30.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1943) (all_57_1 = e2 & ~ (all_57_3 = e3) & ~ (all_57_8
% 193.75/30.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_10 = e2) & ~ (all_57_12 =
% 193.75/30.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_14 = e0) & op(e3, e3) = e2 &
% 193.75/30.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_3 & op(e2, all_57_9) =
% 193.75/30.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_8 & op(e2, all_57_11) = all_57_10 &
% 193.75/30.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_13) = all_57_12 & op(e2,
% 193.75/30.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15) = all_57_14 & op(e2, e3) = all_57_9
% 193.75/30.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = all_57_11 & op(e2, e1) =
% 193.75/30.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_13 & op(e2, e0) = all_57_15 &
% 193.75/30.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_3) & $i(all_57_8) & $i(all_57_9) &
% 193.75/30.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & $i(all_57_11) & $i(all_57_12) &
% 193.75/30.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13) & $i(all_57_14) & $i(all_57_15)) |
% 193.75/30.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e1 & ~ (all_57_5 = e3) & ~
% 193.75/30.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_16 = e3) & ~ (all_57_18 = e2) & ~
% 193.75/30.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_22 = e0) & op(e3,
% 193.75/30.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e1 & op(e3, e1) = all_57_5 & op(e1,
% 193.75/30.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17) = all_57_16 & op(e1, all_57_19) =
% 193.75/30.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_18 & op(e1, all_57_21) = all_57_20 &
% 193.75/30.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_23) = all_57_22 & op(e1, e3) =
% 193.75/30.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e1, e2) = all_57_19 & op(e1, e1)
% 193.75/30.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_21 & op(e1, e0) = all_57_23 &
% 193.75/30.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_16) & $i(all_57_17) &
% 193.75/30.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_19) & $i(all_57_20) &
% 193.75/30.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_22) & $i(all_57_23)) |
% 193.75/30.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e0 & ~ (all_57_7 = e3) & ~
% 193.75/30.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 193.75/30.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) & op(e3,
% 193.75/30.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e0 & op(e3, e0) = all_57_7 & op(e0,
% 193.75/30.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25) = all_57_24 & op(e0, all_57_27) =
% 193.75/30.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e0, all_57_29) = all_57_28 &
% 193.75/30.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_31) = all_57_30 & op(e0, e3) =
% 193.75/30.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_27 & op(e0, e1)
% 193.75/30.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_29 & op(e0, e0) = all_57_31 &
% 193.75/30.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7) & $i(all_57_24) & $i(all_57_25) &
% 193.75/30.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_27) & $i(all_57_28) &
% 193.75/30.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29) & $i(all_57_30) & $i(all_57_31)) |
% 193.75/30.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e3 & ~ (all_57_0 = e3) & ~
% 193.75/30.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e2) & ~ (all_57_4 = e1) & ~
% 193.75/30.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_6 = e0) & ~ (all_57_9 = e2) & op(e3,
% 193.75/30.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1) = all_57_0 & op(e3, all_57_3) =
% 193.75/30.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_2 & op(e3, all_57_5) = all_57_4 & op(e3,
% 193.75/30.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7) = all_57_6 & op(e3, e3) = all_57_1 &
% 193.75/30.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_3 & op(e3, e1) = all_57_5 &
% 193.75/30.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_7 & op(e2, e3) = all_57_9 &
% 193.75/30.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e3 & $i(all_57_0) & $i(all_57_1) &
% 193.75/30.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_2) & $i(all_57_3) & $i(all_57_4) &
% 193.75/30.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 193.75/30.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9))
% 193.75/30.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1943) gives:
% 193.75/30.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 193.75/30.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1944) (all_57_1 = e2 & ~ (all_57_3 = e3) & ~ (all_57_8
% 193.75/30.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_10 = e2) & ~ (all_57_12 =
% 193.75/30.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_14 = e0) & op(e3, e3) = e2 &
% 193.75/30.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_3 & op(e2, all_57_9) =
% 193.75/30.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_8 & op(e2, all_57_11) = all_57_10 &
% 193.75/30.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_13) = all_57_12 & op(e2,
% 193.75/30.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15) = all_57_14 & op(e2, e3) = all_57_9
% 193.75/30.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = all_57_11 & op(e2, e1) =
% 193.75/30.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_13 & op(e2, e0) = all_57_15 &
% 193.75/30.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_3) & $i(all_57_8) & $i(all_57_9) &
% 193.75/30.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & $i(all_57_11) & $i(all_57_12) &
% 193.75/30.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13) & $i(all_57_14) & $i(all_57_15)) |
% 193.75/30.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e1 & ~ (all_57_5 = e3) & ~
% 193.75/30.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_16 = e3) & ~ (all_57_18 = e2) & ~
% 193.75/30.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_22 = e0) & op(e3,
% 193.75/30.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e1 & op(e3, e1) = all_57_5 & op(e1,
% 193.75/30.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17) = all_57_16 & op(e1, all_57_19) =
% 193.75/30.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_18 & op(e1, all_57_21) = all_57_20 &
% 193.75/30.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_23) = all_57_22 & op(e1, e3) =
% 193.75/30.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e1, e2) = all_57_19 & op(e1, e1)
% 193.75/30.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_21 & op(e1, e0) = all_57_23 &
% 193.75/30.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_16) & $i(all_57_17) &
% 193.75/30.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_19) & $i(all_57_20) &
% 193.75/30.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_22) & $i(all_57_23))
% 193.75/30.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1944) gives:
% 193.75/30.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 193.75/30.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1945) all_57_1 = e2 & ~ (all_57_3 = e3) & ~ (all_57_8
% 193.75/30.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_10 = e2) & ~ (all_57_12 =
% 193.75/30.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_14 = e0) & op(e3, e3) = e2 &
% 193.75/30.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_3 & op(e2, all_57_9) =
% 193.75/30.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_8 & op(e2, all_57_11) = all_57_10 & op(e2,
% 193.75/30.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_13) = all_57_12 & op(e2, all_57_15) =
% 193.75/30.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_14 & op(e2, e3) = all_57_9 & op(e2, e2) =
% 193.75/30.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_11 & op(e2, e1) = all_57_13 & op(e2, e0) =
% 193.75/30.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15 & $i(all_57_3) & $i(all_57_8) &
% 193.75/30.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9) & $i(all_57_10) & $i(all_57_11) &
% 193.75/30.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & $i(all_57_13) & $i(all_57_14) &
% 193.75/30.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15)
% 193.75/30.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1945) implies:
% 193.75/30.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1946) op(e3, e3) = e2
% 193.75/30.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (51), (377), (1946), (function-axioms) are
% 193.75/30.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1925.
% 193.75/30.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 193.75/30.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1947) all_57_1 = e1 & ~ (all_57_5 = e3) & ~ (all_57_16
% 193.75/30.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_18 = e2) & ~ (all_57_20 =
% 193.75/30.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_22 = e0) & op(e3, e3) = e1 &
% 193.75/30.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_57_5 & op(e1, all_57_17) =
% 193.75/30.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_16 & op(e1, all_57_19) = all_57_18 & op(e1,
% 193.75/30.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_21) = all_57_20 & op(e1, all_57_23) =
% 193.75/30.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_22 & op(e1, e3) = all_57_17 & op(e1, e2) =
% 193.75/30.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_19 & op(e1, e1) = all_57_21 & op(e1, e0) =
% 193.75/30.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23 & $i(all_57_5) & $i(all_57_16) &
% 193.75/30.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_17) & $i(all_57_18) & $i(all_57_19) &
% 193.75/30.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_20) & $i(all_57_21) & $i(all_57_22) &
% 193.75/30.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23)
% 193.75/30.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1947) implies:
% 193.75/30.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1948) op(e3, e3) = e1
% 193.75/30.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (158), (162), (208),
% 193.75/30.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (222), (223), (224), (225), (226), (227), (228),
% 193.75/30.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (229), (230), (233), (234), (235), (236), (1545),
% 193.75/30.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1546), (1551), (1668), (1710), (1798), (1874),
% 193.75/30.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1885), (1937), (1948), (function-axioms) are
% 193.75/30.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1416.
% 193.75/30.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 193.75/30.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 193.75/30.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1949) (all_57_1 = e0 & ~ (all_57_7 = e3) & ~
% 193.75/30.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 193.75/30.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) & op(e3,
% 193.75/30.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e0 & op(e3, e0) = all_57_7 & op(e0,
% 193.75/30.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25) = all_57_24 & op(e0, all_57_27) =
% 193.75/30.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e0, all_57_29) = all_57_28 &
% 193.75/30.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_31) = all_57_30 & op(e0, e3) =
% 193.75/30.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_27 & op(e0, e1)
% 193.75/30.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_29 & op(e0, e0) = all_57_31 &
% 193.75/30.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7) & $i(all_57_24) & $i(all_57_25) &
% 193.75/30.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_27) & $i(all_57_28) &
% 193.75/30.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29) & $i(all_57_30) & $i(all_57_31)) |
% 193.75/30.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e3 & ~ (all_57_0 = e3) & ~
% 193.75/30.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e2) & ~ (all_57_4 = e1) & ~
% 193.75/30.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_6 = e0) & ~ (all_57_9 = e2) & op(e3,
% 193.75/30.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1) = all_57_0 & op(e3, all_57_3) =
% 193.75/30.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_2 & op(e3, all_57_5) = all_57_4 & op(e3,
% 193.75/30.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7) = all_57_6 & op(e3, e3) = all_57_1 &
% 193.75/30.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_3 & op(e3, e1) = all_57_5 &
% 193.75/30.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_7 & op(e2, e3) = all_57_9 &
% 193.75/30.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e3 & $i(all_57_0) & $i(all_57_1) &
% 193.75/30.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_2) & $i(all_57_3) & $i(all_57_4) &
% 193.75/30.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 193.75/30.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9))
% 193.75/30.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (7), (8), (168), (170), (232), (236),
% 193.75/30.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1689), (1690), (1903), (1904), (1909), (1949),
% 193.75/30.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 193.75/30.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1412.
% 193.75/30.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 193.75/30.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 193.75/30.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1950) (all_57_11 = e1 & ~ (all_57_13 = e2) & ~
% 193.75/30.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_16 = e3) & ~ (all_57_18 = e2) & ~
% 193.75/30.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_22 = e0) & op(e2,
% 193.75/30.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e1 & op(e2, e1) = all_57_13 & op(e1,
% 193.75/30.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17) = all_57_16 & op(e1, all_57_19) =
% 193.75/30.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_18 & op(e1, all_57_21) = all_57_20 &
% 193.75/30.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_23) = all_57_22 & op(e1, e3) =
% 193.75/30.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e1, e2) = all_57_19 & op(e1, e1)
% 193.75/30.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_21 & op(e1, e0) = all_57_23 &
% 193.75/30.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13) & $i(all_57_16) & $i(all_57_17) &
% 193.75/30.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_19) & $i(all_57_20) &
% 193.75/30.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_22) & $i(all_57_23)) |
% 193.75/30.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e0 & ~ (all_57_15 = e2) & ~
% 193.75/30.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 193.75/30.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) & op(e2,
% 193.75/30.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e0 & op(e2, e0) = all_57_15 & op(e0,
% 193.75/30.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25) = all_57_24 & op(e0, all_57_27) =
% 193.75/30.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e0, all_57_29) = all_57_28 &
% 193.75/30.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_31) = all_57_30 & op(e0, e3) =
% 193.75/30.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_27 & op(e0, e1)
% 193.75/30.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_29 & op(e0, e0) = all_57_31 &
% 193.75/30.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & $i(all_57_24) & $i(all_57_25) &
% 193.75/30.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_27) & $i(all_57_28) &
% 193.75/30.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29) & $i(all_57_30) & $i(all_57_31)) |
% 193.75/30.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e3 & ~ (all_57_0 = e3) & ~
% 193.75/30.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e2) & ~ (all_57_4 = e1) & ~
% 193.75/30.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_6 = e0) & ~ (all_57_17 = e1) & op(e3,
% 193.75/30.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1) = all_57_0 & op(e3, all_57_3) =
% 193.75/30.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_2 & op(e3, all_57_5) = all_57_4 & op(e3,
% 193.75/30.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7) = all_57_6 & op(e3, e3) = all_57_1 &
% 193.75/30.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_3 & op(e3, e1) = all_57_5 &
% 193.75/30.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_7 & op(e1, e3) = all_57_17 &
% 193.75/30.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e3 & $i(all_57_0) & $i(all_57_1) &
% 193.75/30.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_2) & $i(all_57_3) & $i(all_57_4) &
% 193.75/30.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 193.75/30.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_17)) | (all_57_21 = e2 & ~ (all_57_8
% 193.75/30.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_10 = e2) & ~ (all_57_12 =
% 193.75/30.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_14 = e0) & ~ (all_57_19 =
% 193.75/30.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & op(e2, all_57_9) = all_57_8 & op(e2,
% 193.75/30.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_11) = all_57_10 & op(e2, all_57_13) =
% 193.75/30.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & op(e2, all_57_15) = all_57_14 &
% 193.75/30.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_9 & op(e2, e2) = all_57_11 &
% 193.75/30.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_57_13 & op(e2, e0) = all_57_15
% 193.75/30.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = all_57_19 & op(e1, e1) = e2 &
% 193.75/30.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8) & $i(all_57_9) & $i(all_57_10) &
% 193.75/30.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_12) & $i(all_57_13) &
% 193.75/30.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & $i(all_57_15) & $i(all_57_19)) |
% 193.75/30.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (op(e0, e0) = all_57_31 & $i(all_57_31) &
% 193.75/30.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_21 = e0 & ~ (all_57_23 = e1) & ~
% 193.75/30.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 193.75/30.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) &
% 193.75/30.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = all_57_23 &
% 193.75/30.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_25) = all_57_24 & op(e0,
% 193.75/30.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27) = all_57_26 & op(e0, all_57_29)
% 193.75/30.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_28 & op(e0, all_57_31) = all_57_30
% 193.75/30.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e3) = all_57_25 & op(e0, e2) =
% 193.75/30.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27 & op(e0, e1) = all_57_29 &
% 193.75/30.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23) & $i(all_57_24) &
% 193.75/30.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_25) & $i(all_57_26) &
% 193.75/30.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27) & $i(all_57_28) &
% 193.75/30.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29) & $i(all_57_30)) | (all_57_31
% 193.75/30.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & ~ (all_57_0 = e3) & ~ (all_57_2 =
% 193.75/30.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_4 = e1) & ~ (all_57_6 =
% 193.75/30.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_25 = e0) & op(e3,
% 193.75/30.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1) = all_57_0 & op(e3, all_57_3) =
% 193.75/30.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_2 & op(e3, all_57_5) = all_57_4 &
% 193.75/30.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, all_57_7) = all_57_6 & op(e3, e3) =
% 193.75/30.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e2) = all_57_3 & op(e3,
% 193.75/30.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_5 & op(e3, e0) = all_57_7 &
% 193.75/30.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_25 & $i(all_57_0) &
% 193.75/30.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_2) & $i(all_57_3) &
% 193.75/30.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4) & $i(all_57_5) & $i(all_57_6) &
% 193.75/30.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7) & $i(all_57_25)) | (all_57_31 =
% 193.75/30.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_8 = e3) & ~ (all_57_10 =
% 193.75/30.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_12 = e1) & ~ (all_57_14
% 193.75/30.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_27 = e0) & op(e2,
% 193.75/30.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_9) = all_57_8 & op(e2, all_57_11) =
% 193.75/30.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e2, all_57_13) = all_57_12 &
% 193.75/30.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_15) = all_57_14 & op(e2, e3) =
% 193.75/30.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_9 & op(e2, e2) = all_57_11 & op(e2,
% 193.75/30.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_13 & op(e2, e0) = all_57_15 &
% 193.75/30.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_27 & $i(all_57_8) &
% 193.75/30.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9) & $i(all_57_10) & $i(all_57_11)
% 193.75/30.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_12) & $i(all_57_13) &
% 193.75/30.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & $i(all_57_15) &
% 193.75/30.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27)) | (all_57_31 = e1 & ~
% 193.75/30.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_16 = e3) & ~ (all_57_18 = e2) & ~
% 193.75/30.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_22 = e0) & ~
% 193.75/30.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_29 = e0) & op(e1, all_57_17) =
% 193.75/30.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_16 & op(e1, all_57_19) = all_57_18 &
% 193.75/30.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_21) = all_57_20 & op(e1,
% 193.75/30.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23) = all_57_22 & op(e1, e3) =
% 193.75/30.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e1, e2) = all_57_19 & op(e1,
% 193.75/30.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_21 & op(e1, e0) = all_57_23 &
% 193.75/30.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = all_57_29 & $i(all_57_16) &
% 193.75/30.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_17) & $i(all_57_18) &
% 193.75/30.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_20) &
% 193.75/30.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_22) &
% 193.75/30.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23) & $i(all_57_29))))
% 193.75/30.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1950) gives:
% 193.75/30.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 193.75/30.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1951) (all_57_11 = e1 & ~ (all_57_13 = e2) & ~
% 193.75/30.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_16 = e3) & ~ (all_57_18 = e2) & ~
% 193.75/30.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_22 = e0) & op(e2,
% 193.75/30.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e1 & op(e2, e1) = all_57_13 & op(e1,
% 193.75/30.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17) = all_57_16 & op(e1, all_57_19) =
% 193.75/30.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_18 & op(e1, all_57_21) = all_57_20 &
% 193.75/30.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_23) = all_57_22 & op(e1, e3) =
% 193.75/30.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e1, e2) = all_57_19 & op(e1, e1)
% 193.75/30.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_21 & op(e1, e0) = all_57_23 &
% 193.75/30.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13) & $i(all_57_16) & $i(all_57_17) &
% 193.75/30.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_19) & $i(all_57_20) &
% 193.75/30.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_22) & $i(all_57_23)) |
% 193.75/30.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e0 & ~ (all_57_15 = e2) & ~
% 193.75/30.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 193.75/30.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) & op(e2,
% 193.75/30.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e0 & op(e2, e0) = all_57_15 & op(e0,
% 193.75/30.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25) = all_57_24 & op(e0, all_57_27) =
% 193.75/30.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e0, all_57_29) = all_57_28 &
% 193.75/30.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_31) = all_57_30 & op(e0, e3) =
% 193.75/30.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_27 & op(e0, e1)
% 193.75/30.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_29 & op(e0, e0) = all_57_31 &
% 193.75/30.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & $i(all_57_24) & $i(all_57_25) &
% 193.75/30.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_27) & $i(all_57_28) &
% 193.75/30.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29) & $i(all_57_30) & $i(all_57_31))
% 193.75/30.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (1551), (1798), (1885), (1951),
% 193.75/30.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 193.75/30.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1462.
% 193.75/30.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 193.75/30.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1952) (all_57_21 = e3 & ~ (all_57_0 = e3) & ~
% 193.75/30.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e2) & ~ (all_57_4 = e1) & ~
% 193.75/30.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_6 = e0) & ~ (all_57_17 = e1) & op(e3,
% 193.75/30.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1) = all_57_0 & op(e3, all_57_3) =
% 193.75/30.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_2 & op(e3, all_57_5) = all_57_4 & op(e3,
% 193.75/30.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7) = all_57_6 & op(e3, e3) = all_57_1 &
% 193.75/30.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_3 & op(e3, e1) = all_57_5 &
% 193.75/30.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_7 & op(e1, e3) = all_57_17 &
% 193.75/30.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e3 & $i(all_57_0) & $i(all_57_1) &
% 193.75/30.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_2) & $i(all_57_3) & $i(all_57_4) &
% 193.75/30.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 193.75/30.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_17)) | (all_57_21 = e2 & ~ (all_57_8
% 193.75/30.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_10 = e2) & ~ (all_57_12 =
% 193.75/30.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_14 = e0) & ~ (all_57_19 =
% 193.75/30.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & op(e2, all_57_9) = all_57_8 & op(e2,
% 193.75/30.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_11) = all_57_10 & op(e2, all_57_13) =
% 193.75/30.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & op(e2, all_57_15) = all_57_14 &
% 193.75/30.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_9 & op(e2, e2) = all_57_11 &
% 193.75/30.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_57_13 & op(e2, e0) = all_57_15
% 193.75/30.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = all_57_19 & op(e1, e1) = e2 &
% 193.75/30.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8) & $i(all_57_9) & $i(all_57_10) &
% 193.75/30.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_12) & $i(all_57_13) &
% 193.75/30.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & $i(all_57_15) & $i(all_57_19)) |
% 193.75/30.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (op(e0, e0) = all_57_31 & $i(all_57_31) &
% 193.75/30.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_21 = e0 & ~ (all_57_23 = e1) & ~
% 193.75/30.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 193.75/30.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) &
% 193.75/30.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = all_57_23 &
% 193.75/30.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_25) = all_57_24 & op(e0,
% 193.75/30.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27) = all_57_26 & op(e0, all_57_29)
% 193.75/30.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_28 & op(e0, all_57_31) = all_57_30
% 193.75/30.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e3) = all_57_25 & op(e0, e2) =
% 193.75/30.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27 & op(e0, e1) = all_57_29 &
% 193.75/30.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23) & $i(all_57_24) &
% 193.75/30.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_25) & $i(all_57_26) &
% 193.75/30.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27) & $i(all_57_28) &
% 193.75/30.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29) & $i(all_57_30)) | (all_57_31
% 193.75/30.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & ~ (all_57_0 = e3) & ~ (all_57_2 =
% 193.75/30.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_4 = e1) & ~ (all_57_6 =
% 193.75/30.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_25 = e0) & op(e3,
% 193.75/30.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1) = all_57_0 & op(e3, all_57_3) =
% 193.75/30.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_2 & op(e3, all_57_5) = all_57_4 &
% 193.75/30.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, all_57_7) = all_57_6 & op(e3, e3) =
% 193.75/30.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e2) = all_57_3 & op(e3,
% 193.75/30.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_5 & op(e3, e0) = all_57_7 &
% 193.75/30.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_25 & $i(all_57_0) &
% 193.75/30.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_2) & $i(all_57_3) &
% 193.75/30.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4) & $i(all_57_5) & $i(all_57_6) &
% 193.75/30.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7) & $i(all_57_25)) | (all_57_31 =
% 193.75/30.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_8 = e3) & ~ (all_57_10 =
% 193.75/30.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_12 = e1) & ~ (all_57_14
% 193.75/30.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_27 = e0) & op(e2,
% 193.75/30.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_9) = all_57_8 & op(e2, all_57_11) =
% 193.75/30.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e2, all_57_13) = all_57_12 &
% 193.75/30.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_15) = all_57_14 & op(e2, e3) =
% 193.75/30.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_9 & op(e2, e2) = all_57_11 & op(e2,
% 193.75/30.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_13 & op(e2, e0) = all_57_15 &
% 193.75/30.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_27 & $i(all_57_8) &
% 193.75/30.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9) & $i(all_57_10) & $i(all_57_11)
% 193.75/30.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_12) & $i(all_57_13) &
% 193.75/30.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & $i(all_57_15) &
% 193.75/30.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27)) | (all_57_31 = e1 & ~
% 193.75/30.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_16 = e3) & ~ (all_57_18 = e2) & ~
% 193.75/30.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_22 = e0) & ~
% 193.75/30.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_29 = e0) & op(e1, all_57_17) =
% 193.75/30.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_16 & op(e1, all_57_19) = all_57_18 &
% 193.75/30.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_21) = all_57_20 & op(e1,
% 193.75/30.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23) = all_57_22 & op(e1, e3) =
% 193.75/30.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e1, e2) = all_57_19 & op(e1,
% 193.75/30.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_21 & op(e1, e0) = all_57_23 &
% 193.75/30.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = all_57_29 & $i(all_57_16) &
% 193.75/30.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_17) & $i(all_57_18) &
% 193.75/30.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_20) &
% 193.75/30.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_22) &
% 193.75/30.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23) & $i(all_57_29))))
% 193.75/30.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1952) gives:
% 193.75/30.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 193.75/30.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1953) all_57_21 = e3 & ~ (all_57_0 = e3) & ~ (all_57_2
% 193.75/30.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2) & ~ (all_57_4 = e1) & ~ (all_57_6 = e0)
% 193.75/30.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_17 = e1) & op(e3, all_57_1) =
% 193.75/30.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_0 & op(e3, all_57_3) = all_57_2 & op(e3,
% 193.75/30.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_5) = all_57_4 & op(e3, all_57_7) =
% 193.75/30.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_6 & op(e3, e3) = all_57_1 & op(e3, e2) =
% 193.75/30.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 & op(e3, e1) = all_57_5 & op(e3, e0) =
% 193.75/30.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7 & op(e1, e3) = all_57_17 & op(e1, e1) =
% 193.75/30.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & $i(all_57_0) & $i(all_57_1) & $i(all_57_2) &
% 193.75/30.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_3) & $i(all_57_4) & $i(all_57_5) &
% 193.75/30.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_6) & $i(all_57_7) & $i(all_57_17)
% 193.75/30.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1953) implies:
% 193.75/30.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1954) ~ (all_57_6 = e0)
% 193.75/30.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1955) op(e3, e0) = all_57_7
% 193.75/30.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1956) op(e3, all_57_7) = all_57_6
% 193.75/30.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (1904), (1954), (1955), (1956), (function-axioms)
% 193.75/30.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1632.
% 193.75/30.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 193.75/30.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1957) (all_57_21 = e2 & ~ (all_57_8 = e3) & ~
% 193.75/30.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e2) & ~ (all_57_12 = e1) & ~
% 193.75/30.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e0) & ~ (all_57_19 = e1) & op(e2,
% 193.75/30.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_9) = all_57_8 & op(e2, all_57_11) =
% 193.75/30.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e2, all_57_13) = all_57_12 &
% 193.75/30.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_15) = all_57_14 & op(e2, e3) =
% 193.75/30.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_9 & op(e2, e2) = all_57_11 & op(e2, e1) =
% 193.75/30.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_13 & op(e2, e0) = all_57_15 & op(e1, e2)
% 193.75/30.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_19 & op(e1, e1) = e2 & $i(all_57_8) &
% 193.75/30.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9) & $i(all_57_10) & $i(all_57_11) &
% 193.75/30.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & $i(all_57_13) & $i(all_57_14) &
% 193.75/30.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & $i(all_57_19)) | (op(e0, e0) =
% 193.75/30.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_31 & $i(all_57_31) & ((all_57_21 = e0 &
% 193.75/30.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_23 = e1) & ~ (all_57_24 = e3) &
% 193.75/30.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_26 = e2) & ~ (all_57_28 = e1) &
% 193.75/30.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_30 = e0) & op(e1, e1) = e0 &
% 193.75/30.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_23 & op(e0, all_57_25) =
% 193.75/30.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_24 & op(e0, all_57_27) = all_57_26 &
% 193.75/30.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_29) = all_57_28 & op(e0,
% 193.75/30.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_31) = all_57_30 & op(e0, e3) =
% 193.75/30.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_27 & op(e0,
% 193.75/30.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_29 & $i(all_57_23) &
% 193.75/30.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_24) & $i(all_57_25) &
% 193.75/30.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_27) &
% 193.75/30.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28) & $i(all_57_29) &
% 193.75/30.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_31 = e3 & ~
% 193.75/30.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_0 = e3) & ~ (all_57_2 = e2) & ~
% 193.75/30.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1) & ~ (all_57_6 = e0) & ~
% 193.75/30.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_25 = e0) & op(e3, all_57_1) =
% 193.75/30.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_0 & op(e3, all_57_3) = all_57_2 &
% 193.75/30.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, all_57_5) = all_57_4 & op(e3,
% 193.75/30.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7) = all_57_6 & op(e3, e3) =
% 193.75/30.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e2) = all_57_3 & op(e3,
% 193.75/30.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_5 & op(e3, e0) = all_57_7 &
% 193.75/30.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_25 & $i(all_57_0) &
% 193.75/30.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_2) & $i(all_57_3) &
% 193.75/30.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4) & $i(all_57_5) & $i(all_57_6) &
% 193.75/30.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7) & $i(all_57_25)) | (all_57_31 =
% 193.75/30.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_8 = e3) & ~ (all_57_10 =
% 193.75/30.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_12 = e1) & ~ (all_57_14
% 193.75/30.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_27 = e0) & op(e2,
% 193.75/30.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_9) = all_57_8 & op(e2, all_57_11) =
% 193.75/30.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e2, all_57_13) = all_57_12 &
% 193.75/30.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_15) = all_57_14 & op(e2, e3) =
% 193.75/30.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_9 & op(e2, e2) = all_57_11 & op(e2,
% 193.75/30.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_13 & op(e2, e0) = all_57_15 &
% 193.75/30.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_27 & $i(all_57_8) &
% 193.75/30.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9) & $i(all_57_10) & $i(all_57_11)
% 193.75/30.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_12) & $i(all_57_13) &
% 193.75/30.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & $i(all_57_15) &
% 193.75/30.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27)) | (all_57_31 = e1 & ~
% 193.75/30.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_16 = e3) & ~ (all_57_18 = e2) & ~
% 193.75/30.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_22 = e0) & ~
% 193.75/30.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_29 = e0) & op(e1, all_57_17) =
% 193.75/30.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_16 & op(e1, all_57_19) = all_57_18 &
% 193.75/30.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_21) = all_57_20 & op(e1,
% 193.75/30.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23) = all_57_22 & op(e1, e3) =
% 193.75/30.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e1, e2) = all_57_19 & op(e1,
% 193.75/30.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_21 & op(e1, e0) = all_57_23 &
% 193.75/30.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = all_57_29 & $i(all_57_16) &
% 193.75/30.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_17) & $i(all_57_18) &
% 193.75/30.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_20) &
% 193.75/30.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_22) &
% 193.75/30.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23) & $i(all_57_29))))
% 193.75/30.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1957) gives:
% 193.75/30.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 193.75/30.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1958) all_57_21 = e2 & ~ (all_57_8 = e3) & ~
% 193.75/30.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e2) & ~ (all_57_12 = e1) & ~
% 193.75/30.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e0) & ~ (all_57_19 = e1) & op(e2,
% 193.75/30.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_9) = all_57_8 & op(e2, all_57_11) =
% 193.75/30.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e2, all_57_13) = all_57_12 & op(e2,
% 193.75/30.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15) = all_57_14 & op(e2, e3) = all_57_9 &
% 193.75/30.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_11 & op(e2, e1) = all_57_13 &
% 193.75/30.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_15 & op(e1, e2) = all_57_19 &
% 193.75/30.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e2 & $i(all_57_8) & $i(all_57_9) &
% 193.75/30.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & $i(all_57_11) & $i(all_57_12) &
% 193.75/30.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13) & $i(all_57_14) & $i(all_57_15) &
% 193.75/30.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19)
% 193.75/30.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1958) implies:
% 193.75/30.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1959) op(e1, e1) = e2
% 193.75/30.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8), (9), (216), (228), (1551), (1909),
% 193.75/30.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1916), (1925), (1929), (1959), (function-axioms)
% 193.75/30.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1406.
% 193.75/30.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 193.75/30.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1960) op(e0, e0) = all_57_31 & $i(all_57_31) &
% 193.75/30.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_21 = e0 & ~ (all_57_23 = e1) & ~
% 193.75/30.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 193.75/30.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) &
% 193.75/30.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = all_57_23 &
% 193.75/30.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_25) = all_57_24 & op(e0,
% 193.75/30.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27) = all_57_26 & op(e0, all_57_29) =
% 193.75/30.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_28 & op(e0, all_57_31) = all_57_30 &
% 193.75/30.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_25 & op(e0, e2) =
% 193.75/30.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27 & op(e0, e1) = all_57_29 &
% 193.75/30.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23) & $i(all_57_24) & $i(all_57_25)
% 193.75/30.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_26) & $i(all_57_27) &
% 193.75/30.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28) & $i(all_57_29) & $i(all_57_30))
% 193.75/30.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e3 & ~ (all_57_0 = e3) & ~
% 193.75/30.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e2) & ~ (all_57_4 = e1) & ~
% 193.75/30.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_6 = e0) & ~ (all_57_25 = e0) & op(e3,
% 193.75/30.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1) = all_57_0 & op(e3, all_57_3) =
% 193.75/30.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_2 & op(e3, all_57_5) = all_57_4 &
% 193.75/30.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, all_57_7) = all_57_6 & op(e3, e3) =
% 193.75/30.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e2) = all_57_3 & op(e3, e1)
% 193.75/30.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_5 & op(e3, e0) = all_57_7 & op(e0,
% 193.75/30.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_25 & $i(all_57_0) &
% 193.75/30.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_2) & $i(all_57_3) &
% 193.75/30.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4) & $i(all_57_5) & $i(all_57_6) &
% 193.75/30.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7) & $i(all_57_25)) | (all_57_31 =
% 193.75/30.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_8 = e3) & ~ (all_57_10 = e2)
% 193.75/30.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_12 = e1) & ~ (all_57_14 = e0) &
% 193.75/30.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_27 = e0) & op(e2, all_57_9) =
% 193.75/30.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_8 & op(e2, all_57_11) = all_57_10 &
% 193.75/30.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_13) = all_57_12 & op(e2,
% 193.75/30.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15) = all_57_14 & op(e2, e3) =
% 193.75/30.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_9 & op(e2, e2) = all_57_11 & op(e2, e1)
% 193.75/30.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_13 & op(e2, e0) = all_57_15 & op(e0,
% 193.75/30.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_27 & $i(all_57_8) &
% 193.75/30.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9) & $i(all_57_10) & $i(all_57_11) &
% 193.75/30.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & $i(all_57_13) & $i(all_57_14)
% 193.75/30.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_15) & $i(all_57_27)) | (all_57_31
% 193.75/30.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_16 = e3) & ~ (all_57_18 =
% 193.75/30.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_20 = e1) & ~ (all_57_22 =
% 193.75/30.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_29 = e0) & op(e1,
% 193.75/30.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17) = all_57_16 & op(e1, all_57_19) =
% 193.75/30.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_18 & op(e1, all_57_21) = all_57_20 &
% 193.75/30.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_23) = all_57_22 & op(e1, e3) =
% 193.75/30.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e1, e2) = all_57_19 & op(e1,
% 193.75/30.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_21 & op(e1, e0) = all_57_23 &
% 193.75/30.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = all_57_29 & $i(all_57_16) &
% 193.75/30.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_17) & $i(all_57_18) & $i(all_57_19)
% 193.75/30.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_20) & $i(all_57_21) &
% 193.75/30.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_23) &
% 193.75/30.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29)))
% 193.75/30.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1960) implies:
% 193.75/30.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1961) op(e0, e0) = all_57_31
% 193.75/30.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1962) (all_57_21 = e0 & ~ (all_57_23 = e1) & ~
% 193.75/30.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 193.75/30.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) & op(e1,
% 193.75/30.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0 & op(e1, e0) = all_57_23 & op(e0,
% 193.75/30.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25) = all_57_24 & op(e0, all_57_27) =
% 193.75/30.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e0, all_57_29) = all_57_28 &
% 193.75/30.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_31) = all_57_30 & op(e0, e3) =
% 193.75/30.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_27 & op(e0, e1)
% 193.75/30.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_29 & $i(all_57_23) & $i(all_57_24) &
% 193.75/30.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_25) & $i(all_57_26) & $i(all_57_27) &
% 193.75/30.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28) & $i(all_57_29) & $i(all_57_30)) |
% 193.75/30.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e3 & ~ (all_57_0 = e3) & ~
% 193.75/30.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e2) & ~ (all_57_4 = e1) & ~
% 193.75/30.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_6 = e0) & ~ (all_57_25 = e0) & op(e3,
% 193.75/30.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1) = all_57_0 & op(e3, all_57_3) =
% 193.75/30.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_2 & op(e3, all_57_5) = all_57_4 & op(e3,
% 193.75/30.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7) = all_57_6 & op(e3, e3) = all_57_1 &
% 193.75/30.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_3 & op(e3, e1) = all_57_5 &
% 193.75/30.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_7 & op(e0, e3) = all_57_25 &
% 193.75/30.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_0) & $i(all_57_1) & $i(all_57_2) &
% 193.75/30.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_3) & $i(all_57_4) & $i(all_57_5) &
% 193.75/30.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_6) & $i(all_57_7) & $i(all_57_25)) |
% 193.75/30.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e2 & ~ (all_57_8 = e3) & ~
% 193.75/30.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e2) & ~ (all_57_12 = e1) & ~
% 193.75/30.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e0) & ~ (all_57_27 = e0) & op(e2,
% 193.75/30.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_9) = all_57_8 & op(e2, all_57_11) =
% 193.75/30.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e2, all_57_13) = all_57_12 &
% 193.75/30.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_15) = all_57_14 & op(e2, e3) =
% 193.75/30.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_9 & op(e2, e2) = all_57_11 & op(e2, e1) =
% 193.75/30.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_13 & op(e2, e0) = all_57_15 & op(e0, e2)
% 193.75/30.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_27 & $i(all_57_8) & $i(all_57_9) &
% 193.75/30.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & $i(all_57_11) & $i(all_57_12) &
% 193.75/30.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13) & $i(all_57_14) & $i(all_57_15) &
% 193.75/30.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27)) | (all_57_31 = e1 & ~ (all_57_16
% 193.75/30.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_18 = e2) & ~ (all_57_20 =
% 193.75/30.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_22 = e0) & ~ (all_57_29 =
% 193.75/30.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & op(e1, all_57_17) = all_57_16 & op(e1,
% 193.75/30.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_19) = all_57_18 & op(e1, all_57_21) =
% 193.75/30.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20 & op(e1, all_57_23) = all_57_22 &
% 193.75/30.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_17 & op(e1, e2) = all_57_19
% 193.75/30.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = all_57_21 & op(e1, e0) =
% 193.75/30.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23 & op(e0, e1) = all_57_29 &
% 193.75/30.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_16) & $i(all_57_17) & $i(all_57_18) &
% 193.75/30.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_20) & $i(all_57_21) &
% 193.75/30.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_23) & $i(all_57_29))
% 193.75/30.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (8), (1798), (1885), (1961), (1962),
% 193.75/30.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 193.75/30.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1911.
% 193.75/30.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 193.75/30.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 193.75/30.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 193.75/30.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 193.75/30.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 193.75/30.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1963) all_56_3 = e1 & op(e2, e2) = e1
% 193.75/30.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1963) implies:
% 193.75/30.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1964) op(e2, e2) = e1
% 193.75/30.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (1551), (1964), (function-axioms) are
% 193.75/30.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1512.
% 193.75/30.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 193.75/30.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 193.75/30.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1965) (all_56_5 = e1 & op(e2, e1) = e1) | (all_56_10 =
% 193.75/30.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e2, e0) = e1)
% 193.75/30.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1965) gives:
% 193.75/30.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 193.75/30.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1966) all_56_5 = e1 & op(e2, e1) = e1
% 193.75/30.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (1934), (1966) are inconsistent by sub-proof
% 193.75/30.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1495.
% 193.75/30.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 193.75/30.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1967) all_56_10 = e1 & op(e2, e0) = e1
% 193.75/30.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1967) implies:
% 193.75/30.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1968) all_56_10 = e1
% 193.75/30.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (8), (9), (212), (1798), (1893),
% 193.75/30.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1925), (1968), (function-axioms) are inconsistent
% 193.75/30.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1669.
% 193.75/30.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 193.75/30.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 193.75/30.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 193.75/30.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 193.75/30.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1969) (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 =
% 193.75/30.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e1) = e2)
% 193.75/30.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1969) gives:
% 193.75/30.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 193.75/30.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1970) all_56_8 = e2 & op(e1, e1) = e2
% 193.75/30.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1970) implies:
% 193.75/30.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1971) op(e1, e1) = e2
% 193.75/30.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8), (9), (216), (228), (1551), (1909),
% 193.75/30.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1916), (1925), (1929), (1971), (function-axioms)
% 193.75/30.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1406.
% 193.75/30.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 193.75/30.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1972) all_56_14 = e2 & op(e0, e1) = e2
% 193.75/30.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1972) implies:
% 193.75/30.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1973) op(e0, e1) = e2
% 193.75/30.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (1885), (1973), (function-axioms) are
% 193.75/30.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1712.
% 193.75/30.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 193.75/30.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 193.75/30.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 193.75/30.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1974) all_56_7 = e0 & op(e1, e2) = e0
% 193.75/30.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1974) implies:
% 193.75/30.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1975) all_56_7 = e0
% 193.75/30.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (8), (226), (1561), (1704), (1909),
% 193.75/30.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1975) are inconsistent by sub-proof #1405.
% 193.75/30.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 193.75/30.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 193.75/30.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1976) (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_11 =
% 193.75/30.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e1, e0) = e0)
% 193.75/30.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1976) gives:
% 193.75/30.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 193.75/30.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1977) all_56_8 = e0 & op(e1, e1) = e0
% 193.75/30.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1977) implies:
% 193.75/30.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1978) op(e1, e1) = e0
% 193.75/30.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (1673), (1978), (function-axioms) are
% 193.75/30.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1918.
% 193.75/30.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 193.75/30.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1979) all_56_11 = e0 & op(e1, e0) = e0
% 193.75/30.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1979) implies:
% 193.75/30.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1980) all_56_11 = e0
% 193.75/30.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1925), (1980) imply:
% 193.75/30.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1981) e2 = e0
% 193.75/30.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1909), (1981) imply:
% 193.75/30.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1982) all_56_1 = e0
% 193.75/30.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (226), (227), (228),
% 193.75/30.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1551), (1982), (function-axioms) are inconsistent
% 193.75/30.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1496.
% 193.75/30.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 193.75/30.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 193.75/30.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 193.75/30.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1983) all_56_15 = e2 & op(e0, e0) = e2
% 193.75/30.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1983) implies:
% 193.75/30.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1984) op(e0, e0) = e2
% 193.75/30.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (45), (206), (207),
% 193.75/30.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (209), (376), (1704), (1888), (1889), (1984),
% 193.75/30.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 193.75/30.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1399.
% 193.75/30.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 193.75/30.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 193.75/30.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 193.75/30.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1985) all_56_13 = e1 & op(e0, e2) = e1
% 193.75/30.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (157), (206), (208),
% 193.75/30.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (209), (1671), (1798), (1985), (function-axioms)
% 193.75/30.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1567.
% 193.75/30.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 193.75/30.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 193.75/30.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 193.75/30.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 193.75/30.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1986) (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_9 = e2
% 193.75/30.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e2)
% 193.75/30.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1986) gives:
% 193.75/30.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 193.75/30.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1987) all_56_4 = e2 & op(e3, e1) = e2
% 193.75/30.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (1874), (1987) are inconsistent by sub-proof
% 193.75/30.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1398.
% 193.75/30.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 193.75/30.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1988) all_56_9 = e2 & op(e3, e0) = e2
% 193.75/30.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1988) implies:
% 193.75/30.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1989) all_56_9 = e2
% 193.75/30.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (1903), (1989) are inconsistent by sub-proof
% 193.75/30.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1785.
% 193.75/30.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 193.75/30.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 193.75/30.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 193.75/30.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 193.75/30.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 193.75/30.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 193.75/30.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1990) all_56_13 = e2 & op(e0, e2) = e2
% 193.75/30.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (168), (169), (170), (236), (1669), (1689),
% 193.75/30.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1690), (1704), (1714), (1990), (function-axioms)
% 193.75/30.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1424.
% 193.75/30.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 193.75/30.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 193.75/30.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1991) (all_56_14 = e2 & op(e0, e1) = e2) | (all_56_15 =
% 193.75/30.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = e2)
% 193.75/30.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (1798), (1885), (1991),
% 193.75/30.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 193.75/30.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1417.
% 193.75/30.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 193.75/30.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 193.75/30.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 193.75/30.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 193.75/30.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1992) all_56_9 = e1 & op(e3, e0) = e1
% 193.75/30.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1992) implies:
% 193.75/30.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1993) all_56_9 = e1
% 193.75/30.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (45), (168), (169),
% 193.75/30.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (170), (206), (211), (212), (236), (376), (1669),
% 193.75/30.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1689), (1690), (1710), (1714), (1798), (1993),
% 193.75/30.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 193.75/30.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1431.
% 193.75/30.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 193.75/30.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 193.75/30.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 193.75/30.55 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.55 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 193.75/30.55 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.55 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 193.75/30.55 | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.55 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 193.75/30.55 | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.55 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 193.75/30.55 | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.55 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 193.75/30.55 | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.55 | | | | | | | | | | | | | | | | | | | | | | | (1994) all_56_2 = e3 & op(e2, e3) = e3
% 193.75/30.55 | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.55 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (167), (1688), (1994), (function-axioms) are
% 193.75/30.55 | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1397.
% 193.75/30.55 | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.55 | | | | | | | | | | | | | | | | | | | | | | End of split
% 193.75/30.55 | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.55 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 193.75/30.55 | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.55 | | | | | | | | | | | | | | | | | | | | | | (1995) (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_12 =
% 193.75/30.55 | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e3) = e3)
% 193.75/30.55 | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.55 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1995) gives:
% 193.75/30.55 | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.55 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 193.75/30.55 | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.55 | | | | | | | | | | | | | | | | | | | | | | | (1996) all_56_6 = e3 & op(e1, e3) = e3
% 193.75/30.55 | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.55 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (163), (1667), (1996), (function-axioms) are
% 193.75/30.55 | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1396.
% 193.75/30.55 | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.55 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 193.75/30.55 | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.55 | | | | | | | | | | | | | | | | | | | | | | | (1997) all_56_12 = e3 & op(e0, e3) = e3
% 193.75/30.55 | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.55 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1997) implies:
% 193.75/30.55 | | | | | | | | | | | | | | | | | | | | | | | (1998) all_56_12 = e3
% 193.75/30.55 | | | | | | | | | | | | | | | | | | | | | | | (1999) op(e0, e3) = e3
% 193.75/30.55 | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.55 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (158), (162), (168),
% 193.75/30.55 | | | | | | | | | | | | | | | | | | | | | | | (169), (170), (222), (223), (224), (225), (226),
% 193.75/30.55 | | | | | | | | | | | | | | | | | | | | | | | (227), (228), (229), (231), (233), (236), (1545),
% 193.75/30.55 | | | | | | | | | | | | | | | | | | | | | | | (1546), (1551), (1561), (1669), (1689), (1690),
% 193.75/30.55 | | | | | | | | | | | | | | | | | | | | | | | (1692), (1710), (1998), (1999), (function-axioms)
% 193.75/30.55 | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1449.
% 193.75/30.55 | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.55 | | | | | | | | | | | | | | | | | | | | | | End of split
% 193.75/30.55 | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.55 | | | | | | | | | | | | | | | | | | | | | End of split
% 193.75/30.55 | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.55 | | | | | | | | | | | | | | | | | | | | End of split
% 193.75/30.55 | | | | | | | | | | | | | | | | | | | |
% 193.75/30.55 | | | | | | | | | | | | | | | | | | | Case 2:
% 193.75/30.55 | | | | | | | | | | | | | | | | | | | |
% 193.75/30.55 | | | | | | | | | | | | | | | | | | | | (2000) (all_56_11 = e3 & op(e1, e0) = e3) | (all_56_15 =
% 193.75/30.55 | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = e3)
% 193.75/30.55 | | | | | | | | | | | | | | | | | | | |
% 193.75/30.55 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (160), (206), (207),
% 193.75/30.55 | | | | | | | | | | | | | | | | | | | | (208), (1672), (1704), (2000), (function-axioms)
% 193.75/30.55 | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1572.
% 193.75/30.55 | | | | | | | | | | | | | | | | | | | |
% 193.75/30.55 | | | | | | | | | | | | | | | | | | | End of split
% 193.75/30.55 | | | | | | | | | | | | | | | | | | |
% 193.75/30.55 | | | | | | | | | | | | | | | | | | End of split
% 193.75/30.55 | | | | | | | | | | | | | | | | | |
% 193.75/30.55 | | | | | | | | | | | | | | | | | Case 2:
% 193.75/30.55 | | | | | | | | | | | | | | | | | |
% 193.75/30.55 | | | | | | | | | | | | | | | | | | (2001) (all_56_14 = e3 & op(e0, e1) = e3) | (all_56_15 =
% 193.75/30.55 | | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = e3)
% 193.75/30.55 | | | | | | | | | | | | | | | | | |
% 193.75/30.55 | | | | | | | | | | | | | | | | | | REF_CLOSE: (45), (157), (376), (1671), (2001),
% 193.75/30.55 | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 193.75/30.55 | | | | | | | | | | | | | | | | | | #1395.
% 193.75/30.55 | | | | | | | | | | | | | | | | | |
% 193.75/30.55 | | | | | | | | | | | | | | | | | End of split
% 193.75/30.55 | | | | | | | | | | | | | | | | |
% 193.75/30.55 | | | | | | | | | | | | | | | | Case 2:
% 193.75/30.55 | | | | | | | | | | | | | | | | |
% 193.75/30.55 | | | | | | | | | | | | | | | | | (2002) all_54_0 = e2 | all_54_0 = e1 | all_54_0 = e0
% 193.75/30.55 | | | | | | | | | | | | | | | | |
% 193.75/30.55 | | | | | | | | | | | | | | | | | REF_CLOSE: (279), (377), (1575), (1684), (2002) are
% 193.75/30.55 | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1904.
% 193.75/30.55 | | | | | | | | | | | | | | | | |
% 193.75/30.55 | | | | | | | | | | | | | | | | End of split
% 193.75/30.55 | | | | | | | | | | | | | | | |
% 193.75/30.55 | | | | | | | | | | | | | | | Case 2:
% 193.75/30.55 | | | | | | | | | | | | | | | |
% 193.75/30.55 | | | | | | | | | | | | | | | | (2003) all_34_2 = e0
% 193.75/30.55 | | | | | | | | | | | | | | | | (2004) op(e0, e3) = all_34_1 & $i(all_34_1) & ( ~
% 193.75/30.55 | | | | | | | | | | | | | | | | (all_34_1 = e2) | ( ~ (all_34_0 = e1) & op(e2,
% 193.75/30.55 | | | | | | | | | | | | | | | | e0) = all_34_0 & $i(all_34_0)))
% 193.75/30.55 | | | | | | | | | | | | | | | |
% 193.75/30.55 | | | | | | | | | | | | | | | | ALPHA: (2004) implies:
% 193.75/30.55 | | | | | | | | | | | | | | | | (2005) op(e0, e3) = all_34_1
% 193.75/30.55 | | | | | | | | | | | | | | | |
% 193.75/30.55 | | | | | | | | | | | | | | | | COMBINE_EQS: (313), (2003) imply:
% 193.75/30.55 | | | | | | | | | | | | | | | | (2006) all_14_2 = e0
% 193.75/30.55 | | | | | | | | | | | | | | | |
% 193.75/30.55 | | | | | | | | | | | | | | | | COMBINE_EQS: (281), (2006) imply:
% 193.75/30.55 | | | | | | | | | | | | | | | | (2007) all_44_2 = e0
% 193.75/30.55 | | | | | | | | | | | | | | | |
% 193.75/30.55 | | | | | | | | | | | | | | | | REDUCE: (339), (2006) imply:
% 193.75/30.55 | | | | | | | | | | | | | | | | (2008) ~ (all_52_2 = e0)
% 193.75/30.55 | | | | | | | | | | | | | | | |
% 193.75/30.55 | | | | | | | | | | | | | | | | REDUCE: (341), (2006) imply:
% 193.75/30.55 | | | | | | | | | | | | | | | | (2009) ~ (all_52_3 = e0)
% 193.75/30.55 | | | | | | | | | | | | | | | |
% 193.75/30.55 | | | | | | | | | | | | | | | | REDUCE: (1682), (2006) imply:
% 193.75/30.55 | | | | | | | | | | | | | | | | (2010) ~ (all_32_1 = e0)
% 193.75/30.55 | | | | | | | | | | | | | | | |
% 193.75/30.55 | | | | | | | | | | | | | | | | REDUCE: (377), (2006) imply:
% 193.75/30.55 | | | | | | | | | | | | | | | | (2011) ~ (e2 = e0)
% 193.75/30.55 | | | | | | | | | | | | | | | |
% 193.75/30.55 | | | | | | | | | | | | | | | | REDUCE: (51), (2006) imply:
% 193.75/30.55 | | | | | | | | | | | | | | | | (2012) op(e3, e3) = e0
% 193.75/30.55 | | | | | | | | | | | | | | | |
% 193.75/30.55 | | | | | | | | | | | | | | | | BETA: splitting (213) gives:
% 193.75/30.55 | | | | | | | | | | | | | | | |
% 193.75/30.55 | | | | | | | | | | | | | | | | Case 1:
% 193.75/30.55 | | | | | | | | | | | | | | | | |
% 193.75/30.55 | | | | | | | | | | | | | | | | | (2013) (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_7 = e0
% 193.75/30.55 | | | | | | | | | | | | | | | | | & op(e1, e2) = e0)
% 193.75/30.55 | | | | | | | | | | | | | | | | |
% 193.75/30.55 | | | | | | | | | | | | | | | | | REF_CLOSE: (162), (163), (1545), (2008), (2013),
% 193.75/30.55 | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 193.75/30.55 | | | | | | | | | | | | | | | | | #1472.
% 193.75/30.55 | | | | | | | | | | | | | | | | |
% 193.75/30.55 | | | | | | | | | | | | | | | | Case 2:
% 193.75/30.55 | | | | | | | | | | | | | | | | |
% 193.75/30.56 | | | | | | | | | | | | | | | | | (2014) (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_11 =
% 193.75/30.56 | | | | | | | | | | | | | | | | | e0 & op(e1, e0) = e0)
% 193.75/30.56 | | | | | | | | | | | | | | | | |
% 193.75/30.56 | | | | | | | | | | | | | | | | | BETA: splitting (2014) gives:
% 193.75/30.56 | | | | | | | | | | | | | | | | |
% 193.75/30.56 | | | | | | | | | | | | | | | | | Case 1:
% 193.75/30.56 | | | | | | | | | | | | | | | | | |
% 193.75/30.56 | | | | | | | | | | | | | | | | | | (2015) all_56_8 = e0 & op(e1, e1) = e0
% 193.75/30.56 | | | | | | | | | | | | | | | | | |
% 193.75/30.56 | | | | | | | | | | | | | | | | | | ALPHA: (2015) implies:
% 193.75/30.56 | | | | | | | | | | | | | | | | | | (2016) op(e1, e1) = e0
% 193.75/30.56 | | | | | | | | | | | | | | | | | |
% 193.75/30.56 | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (1673), (2016), (function-axioms) are
% 193.75/30.56 | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1918.
% 193.75/30.56 | | | | | | | | | | | | | | | | | |
% 193.75/30.56 | | | | | | | | | | | | | | | | | Case 2:
% 193.75/30.56 | | | | | | | | | | | | | | | | | |
% 193.75/30.56 | | | | | | | | | | | | | | | | | | (2017) all_56_11 = e0 & op(e1, e0) = e0
% 193.75/30.56 | | | | | | | | | | | | | | | | | |
% 193.75/30.56 | | | | | | | | | | | | | | | | | | ALPHA: (2017) implies:
% 193.75/30.56 | | | | | | | | | | | | | | | | | | (2018) all_56_11 = e0
% 193.75/30.56 | | | | | | | | | | | | | | | | | | (2019) op(e1, e0) = e0
% 193.75/30.56 | | | | | | | | | | | | | | | | | |
% 193.75/30.56 | | | | | | | | | | | | | | | | | | BETA: splitting (97) gives:
% 193.75/30.56 | | | | | | | | | | | | | | | | | |
% 193.75/30.56 | | | | | | | | | | | | | | | | | | Case 1:
% 193.75/30.56 | | | | | | | | | | | | | | | | | | |
% 193.75/30.56 | | | | | | | | | | | | | | | | | | | (2020) ~ (all_44_2 = e0)
% 193.75/30.56 | | | | | | | | | | | | | | | | | | |
% 193.75/30.56 | | | | | | | | | | | | | | | | | | | REDUCE: (2007), (2020) imply:
% 193.75/30.56 | | | | | | | | | | | | | | | | | | | (2021) $false
% 193.75/30.56 | | | | | | | | | | | | | | | | | | |
% 193.75/30.56 | | | | | | | | | | | | | | | | | | | CLOSE: (2021) is inconsistent.
% 193.75/30.56 | | | | | | | | | | | | | | | | | | |
% 193.75/30.56 | | | | | | | | | | | | | | | | | | Case 2:
% 193.75/30.56 | | | | | | | | | | | | | | | | | | |
% 193.75/30.56 | | | | | | | | | | | | | | | | | | | (2022) op(e0, e3) = all_44_1 & $i(all_44_1) & ( ~
% 193.75/30.56 | | | | | | | | | | | | | | | | | | | (all_44_1 = e1) | ( ~ (all_44_0 = e2) & op(e1,
% 193.75/30.56 | | | | | | | | | | | | | | | | | | | e0) = all_44_0 & $i(all_44_0)))
% 193.75/30.56 | | | | | | | | | | | | | | | | | | |
% 193.75/30.56 | | | | | | | | | | | | | | | | | | | ALPHA: (2022) implies:
% 193.75/30.56 | | | | | | | | | | | | | | | | | | | (2023) op(e0, e3) = all_44_1
% 193.75/30.56 | | | | | | | | | | | | | | | | | | |
% 193.75/30.56 | | | | | | | | | | | | | | | | | | | BETA: splitting (217) gives:
% 193.75/30.56 | | | | | | | | | | | | | | | | | | |
% 193.75/30.56 | | | | | | | | | | | | | | | | | | | Case 1:
% 193.75/30.56 | | | | | | | | | | | | | | | | | | | |
% 193.75/30.56 | | | | | | | | | | | | | | | | | | | | (2024) (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_5 = e0
% 193.75/30.56 | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e0)
% 193.75/30.56 | | | | | | | | | | | | | | | | | | | |
% 193.75/30.56 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (158), (162), (222),
% 193.75/30.56 | | | | | | | | | | | | | | | | | | | | (223), (224), (225), (226), (227), (228), (1545),
% 193.75/30.56 | | | | | | | | | | | | | | | | | | | | (1546), (1551), (1663), (2010), (2024),
% 193.75/30.56 | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 193.75/30.56 | | | | | | | | | | | | | | | | | | | | #1394.
% 193.75/30.56 | | | | | | | | | | | | | | | | | | | |
% 193.75/30.56 | | | | | | | | | | | | | | | | | | | Case 2:
% 193.75/30.56 | | | | | | | | | | | | | | | | | | | |
% 193.75/30.56 | | | | | | | | | | | | | | | | | | | | (2025) (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_14 =
% 193.75/30.56 | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0)
% 193.75/30.56 | | | | | | | | | | | | | | | | | | | |
% 193.75/30.56 | | | | | | | | | | | | | | | | | | | | BETA: splitting (2025) gives:
% 193.75/30.56 | | | | | | | | | | | | | | | | | | | |
% 193.75/30.56 | | | | | | | | | | | | | | | | | | | | Case 1:
% 193.75/30.56 | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.56 | | | | | | | | | | | | | | | | | | | | | (2026) all_56_8 = e0 & op(e1, e1) = e0
% 193.75/30.56 | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.56 | | | | | | | | | | | | | | | | | | | | | ALPHA: (2026) implies:
% 193.75/30.56 | | | | | | | | | | | | | | | | | | | | | (2027) op(e1, e1) = e0
% 193.75/30.56 | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.56 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (1673), (2027), (function-axioms) are
% 193.75/30.56 | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1918.
% 193.75/30.56 | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.56 | | | | | | | | | | | | | | | | | | | | Case 2:
% 193.75/30.56 | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.56 | | | | | | | | | | | | | | | | | | | | | (2028) all_56_14 = e0 & op(e0, e1) = e0
% 193.75/30.56 | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.56 | | | | | | | | | | | | | | | | | | | | | ALPHA: (2028) implies:
% 193.75/30.56 | | | | | | | | | | | | | | | | | | | | | (2029) all_56_14 = e0
% 193.75/30.56 | | | | | | | | | | | | | | | | | | | | | (2030) op(e0, e1) = e0
% 193.75/30.56 | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.56 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_11,
% 193.75/30.56 | | | | | | | | | | | | | | | | | | | | | e0, e1, e0, simplifying with (157), (2030) gives:
% 193.75/30.56 | | | | | | | | | | | | | | | | | | | | | (2031) all_52_11 = e0
% 193.75/30.56 | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.56 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_3,
% 193.75/30.56 | | | | | | | | | | | | | | | | | | | | | all_34_1, e3, e0, simplifying with (159), (2005)
% 193.75/30.56 | | | | | | | | | | | | | | | | | | | | | gives:
% 193.75/30.56 | | | | | | | | | | | | | | | | | | | | | (2032) all_52_3 = all_34_1
% 193.75/30.56 | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.56 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_3,
% 193.75/30.56 | | | | | | | | | | | | | | | | | | | | | all_44_1, e3, e0, simplifying with (159), (2023)
% 193.75/30.56 | | | | | | | | | | | | | | | | | | | | | gives:
% 193.75/30.56 | | | | | | | | | | | | | | | | | | | | | (2033) all_52_3 = all_44_1
% 193.75/30.56 | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.56 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_14,
% 193.75/30.56 | | | | | | | | | | | | | | | | | | | | | e0, e0, e1, simplifying with (160), (2019) gives:
% 193.75/30.56 | | | | | | | | | | | | | | | | | | | | | (2034) all_52_14 = e0
% 193.75/30.56 | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.56 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2032), (2033) imply:
% 193.75/30.56 | | | | | | | | | | | | | | | | | | | | | (2035) all_44_1 = all_34_1
% 193.75/30.56 | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.56 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (249), (2032) imply:
% 193.75/30.56 | | | | | | | | | | | | | | | | | | | | | (2036) all_54_12 = all_34_1
% 193.75/30.56 | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.56 | | | | | | | | | | | | | | | | | | | | | REDUCE: (148), (2032) imply:
% 193.75/30.56 | | | | | | | | | | | | | | | | | | | | | (2037) ~ (all_52_1 = all_34_1)
% 193.75/30.56 | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.56 | | | | | | | | | | | | | | | | | | | | | REDUCE: (144), (2032) imply:
% 193.75/30.56 | | | | | | | | | | | | | | | | | | | | | (2038) ~ (all_52_2 = all_34_1)
% 193.75/30.56 | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.56 | | | | | | | | | | | | | | | | | | | | | REDUCE: (350), (2032) imply:
% 193.75/30.56 | | | | | | | | | | | | | | | | | | | | | (2039) ~ (all_34_1 = all_10_2)
% 193.75/30.56 | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.56 | | | | | | | | | | | | | | | | | | | | | REDUCE: (2009), (2032) imply:
% 193.75/30.56 | | | | | | | | | | | | | | | | | | | | | (2040) ~ (all_34_1 = e0)
% 193.75/30.56 | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.56 | | | | | | | | | | | | | | | | | | | | | REDUCE: (371), (2034) imply:
% 193.75/30.56 | | | | | | | | | | | | | | | | | | | | | (2041) ~ (all_10_2 = e0)
% 193.75/30.56 | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.56 | | | | | | | | | | | | | | | | | | | | | SIMP: (2041) implies:
% 193.75/30.56 | | | | | | | | | | | | | | | | | | | | | (2042) ~ (all_10_2 = e0)
% 193.75/30.56 | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.56 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (189) gives:
% 193.75/30.56 | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.56 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 193.75/30.56 | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.56 | | | | | | | | | | | | | | | | | | | | | | (2043) all_54_15 = e3
% 193.75/30.56 | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.56 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (246), (376), (2043) are inconsistent by sub-proof
% 193.75/30.56 | | | | | | | | | | | | | | | | | | | | | | #1900.
% 193.75/30.56 | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.56 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 193.75/30.56 | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.56 | | | | | | | | | | | | | | | | | | | | | | (2044) ~ (all_54_15 = e3)
% 193.75/30.56 | | | | | | | | | | | | | | | | | | | | | | (2045) all_54_15 = e2 | all_54_15 = e1 | all_54_15 = e0
% 193.75/30.56 | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.56 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2045) gives:
% 193.75/30.56 | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.56 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 193.75/30.56 | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.56 | | | | | | | | | | | | | | | | | | | | | | | (2046) all_54_15 = e2
% 193.75/30.56 | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.56 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (246), (1577), (2046) are inconsistent by
% 193.75/30.56 | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1899.
% 193.75/30.56 | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.56 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 193.75/30.56 | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.56 | | | | | | | | | | | | | | | | | | | | | | | (2047) ~ (all_54_15 = e2)
% 193.75/30.56 | | | | | | | | | | | | | | | | | | | | | | | (2048) all_54_15 = e1 | all_54_15 = e0
% 193.75/30.56 | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.56 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2048) gives:
% 193.75/30.56 | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.56 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 193.75/30.56 | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.56 | | | | | | | | | | | | | | | | | | | | | | | | (2049) all_54_15 = e1
% 193.75/30.56 | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.56 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (246), (2049) imply:
% 193.75/30.56 | | | | | | | | | | | | | | | | | | | | | | | | (2050) all_10_2 = e1
% 193.75/30.56 | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.56 | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2050) implies:
% 193.75/30.56 | | | | | | | | | | | | | | | | | | | | | | | | (2051) all_10_2 = e1
% 193.75/30.56 | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.56 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (307), (2051) imply:
% 193.75/30.56 | | | | | | | | | | | | | | | | | | | | | | | | (2052) all_40_2 = e1
% 193.75/30.56 | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.56 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (297), (2051) imply:
% 193.75/30.56 | | | | | | | | | | | | | | | | | | | | | | | | (2053) all_46_2 = e1
% 193.75/30.56 | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.56 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2039), (2051) imply:
% 193.75/30.56 | | | | | | | | | | | | | | | | | | | | | | | | (2054) ~ (all_34_1 = e1)
% 193.75/30.56 | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.56 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (376), (2051) imply:
% 193.75/30.56 | | | | | | | | | | | | | | | | | | | | | | | | (2055) ~ (e3 = e1)
% 193.75/30.56 | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.56 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1577), (2051) imply:
% 193.75/30.56 | | | | | | | | | | | | | | | | | | | | | | | | (2056) ~ (e2 = e1)
% 193.75/30.56 | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.56 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (45), (2051) imply:
% 193.75/30.56 | | | | | | | | | | | | | | | | | | | | | | | | (2057) op(e0, e0) = e1
% 193.75/30.56 | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.56 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (100) gives:
% 193.75/30.56 | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.56 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 193.75/30.56 | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.56 | | | | | | | | | | | | | | | | | | | | | | | | | (2058) ~ (all_46_2 = e1)
% 193.75/30.56 | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.56 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2053), (2058) imply:
% 193.75/30.56 | | | | | | | | | | | | | | | | | | | | | | | | | (2059) $false
% 193.75/30.56 | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.56 | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2059) is inconsistent.
% 193.75/30.56 | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.56 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 193.75/30.56 | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.56 | | | | | | | | | | | | | | | | | | | | | | | | | (2060) op(e1, e0) = all_46_1 & $i(all_46_1) & ( ~
% 193.75/30.56 | | | | | | | | | | | | | | | | | | | | | | | | | (all_46_1 = e2) | ( ~ (all_46_0 = e3) & op(e2,
% 193.75/30.56 | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_46_0 & $i(all_46_0)))
% 193.75/30.56 | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.56 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2060) implies:
% 193.75/30.56 | | | | | | | | | | | | | | | | | | | | | | | | | (2061) op(e1, e0) = all_46_1
% 193.75/30.56 | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.56 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (239) gives:
% 193.75/30.56 | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.56 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 193.75/30.56 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.56 | | | | | | | | | | | | | | | | | | | | | | | | | | (2062) (all_57_1 = e2 & ~ (all_57_3 = e3) & ~ (all_57_8
% 193.75/30.56 | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_10 = e2) & ~ (all_57_12 =
% 193.75/30.56 | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_14 = e0) & op(e3, e3) = e2 &
% 193.75/30.56 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_3 & op(e2, all_57_9) =
% 193.75/30.56 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_8 & op(e2, all_57_11) = all_57_10 &
% 193.75/30.56 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_13) = all_57_12 & op(e2,
% 193.75/30.56 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15) = all_57_14 & op(e2, e3) = all_57_9
% 193.75/30.56 | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = all_57_11 & op(e2, e1) =
% 193.75/30.56 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_13 & op(e2, e0) = all_57_15 &
% 193.75/30.56 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_3) & $i(all_57_8) & $i(all_57_9) &
% 193.75/30.56 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & $i(all_57_11) & $i(all_57_12) &
% 193.75/30.56 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13) & $i(all_57_14) & $i(all_57_15)) |
% 193.75/30.56 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e1 & ~ (all_57_5 = e3) & ~
% 193.75/30.56 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_16 = e3) & ~ (all_57_18 = e2) & ~
% 193.75/30.56 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_22 = e0) & op(e3,
% 193.75/30.56 | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e1 & op(e3, e1) = all_57_5 & op(e1,
% 193.75/30.56 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17) = all_57_16 & op(e1, all_57_19) =
% 193.75/30.56 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_18 & op(e1, all_57_21) = all_57_20 &
% 193.75/30.56 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_23) = all_57_22 & op(e1, e3) =
% 193.75/30.56 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e1, e2) = all_57_19 & op(e1, e1)
% 193.75/30.56 | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_21 & op(e1, e0) = all_57_23 &
% 193.75/30.56 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_16) & $i(all_57_17) &
% 193.75/30.56 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_19) & $i(all_57_20) &
% 193.75/30.56 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_22) & $i(all_57_23)) |
% 193.75/30.56 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e0 & ~ (all_57_7 = e3) & ~
% 193.75/30.56 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 193.75/30.56 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) & op(e3,
% 193.75/30.56 | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e0 & op(e3, e0) = all_57_7 & op(e0,
% 193.75/30.56 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25) = all_57_24 & op(e0, all_57_27) =
% 193.75/30.56 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e0, all_57_29) = all_57_28 &
% 193.75/30.56 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_31) = all_57_30 & op(e0, e3) =
% 193.75/30.56 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_27 & op(e0, e1)
% 193.75/30.56 | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_29 & op(e0, e0) = all_57_31 &
% 193.75/30.56 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7) & $i(all_57_24) & $i(all_57_25) &
% 193.75/30.56 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_27) & $i(all_57_28) &
% 193.75/30.56 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29) & $i(all_57_30) & $i(all_57_31)) |
% 193.75/30.56 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e3 & ~ (all_57_0 = e3) & ~
% 193.75/30.56 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e2) & ~ (all_57_4 = e1) & ~
% 193.75/30.56 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_6 = e0) & ~ (all_57_9 = e2) & op(e3,
% 193.75/30.56 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1) = all_57_0 & op(e3, all_57_3) =
% 193.75/30.56 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_2 & op(e3, all_57_5) = all_57_4 & op(e3,
% 193.75/30.56 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7) = all_57_6 & op(e3, e3) = all_57_1 &
% 193.75/30.56 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_3 & op(e3, e1) = all_57_5 &
% 193.75/30.56 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_7 & op(e2, e3) = all_57_9 &
% 193.75/30.56 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e3 & $i(all_57_0) & $i(all_57_1) &
% 193.75/30.56 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_2) & $i(all_57_3) & $i(all_57_4) &
% 193.75/30.56 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 193.75/30.56 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9))
% 193.75/30.56 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.56 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2062) gives:
% 193.75/30.56 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.56 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 193.75/30.56 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2063) (all_57_1 = e2 & ~ (all_57_3 = e3) & ~ (all_57_8
% 193.75/30.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_10 = e2) & ~ (all_57_12 =
% 193.75/30.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_14 = e0) & op(e3, e3) = e2 &
% 193.75/30.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_3 & op(e2, all_57_9) =
% 193.75/30.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_8 & op(e2, all_57_11) = all_57_10 &
% 193.75/30.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_13) = all_57_12 & op(e2,
% 193.75/30.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15) = all_57_14 & op(e2, e3) = all_57_9
% 193.75/30.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = all_57_11 & op(e2, e1) =
% 193.75/30.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_13 & op(e2, e0) = all_57_15 &
% 193.75/30.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_3) & $i(all_57_8) & $i(all_57_9) &
% 193.75/30.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & $i(all_57_11) & $i(all_57_12) &
% 193.75/30.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13) & $i(all_57_14) & $i(all_57_15)) |
% 193.75/30.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e1 & ~ (all_57_5 = e3) & ~
% 193.75/30.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_16 = e3) & ~ (all_57_18 = e2) & ~
% 193.75/30.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_22 = e0) & op(e3,
% 193.75/30.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e1 & op(e3, e1) = all_57_5 & op(e1,
% 193.75/30.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17) = all_57_16 & op(e1, all_57_19) =
% 193.75/30.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_18 & op(e1, all_57_21) = all_57_20 &
% 193.75/30.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_23) = all_57_22 & op(e1, e3) =
% 193.75/30.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e1, e2) = all_57_19 & op(e1, e1)
% 193.75/30.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_21 & op(e1, e0) = all_57_23 &
% 193.75/30.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_16) & $i(all_57_17) &
% 193.75/30.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_19) & $i(all_57_20) &
% 193.75/30.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_22) & $i(all_57_23))
% 193.75/30.56 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (2012), (2063), (function-axioms) are
% 193.75/30.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1833.
% 193.75/30.56 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.56 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 193.75/30.56 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2064) (all_57_1 = e0 & ~ (all_57_7 = e3) & ~
% 193.75/30.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 193.75/30.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) & op(e3,
% 193.75/30.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e0 & op(e3, e0) = all_57_7 & op(e0,
% 193.75/30.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25) = all_57_24 & op(e0, all_57_27) =
% 193.75/30.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e0, all_57_29) = all_57_28 &
% 193.75/30.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_31) = all_57_30 & op(e0, e3) =
% 193.75/30.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_27 & op(e0, e1)
% 193.75/30.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_29 & op(e0, e0) = all_57_31 &
% 193.75/30.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7) & $i(all_57_24) & $i(all_57_25) &
% 193.75/30.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_27) & $i(all_57_28) &
% 193.75/30.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29) & $i(all_57_30) & $i(all_57_31)) |
% 193.75/30.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e3 & ~ (all_57_0 = e3) & ~
% 193.75/30.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e2) & ~ (all_57_4 = e1) & ~
% 193.75/30.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_6 = e0) & ~ (all_57_9 = e2) & op(e3,
% 193.75/30.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1) = all_57_0 & op(e3, all_57_3) =
% 193.75/30.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_2 & op(e3, all_57_5) = all_57_4 & op(e3,
% 193.75/30.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7) = all_57_6 & op(e3, e3) = all_57_1 &
% 193.75/30.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_3 & op(e3, e1) = all_57_5 &
% 193.75/30.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_7 & op(e2, e3) = all_57_9 &
% 193.75/30.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e3 & $i(all_57_0) & $i(all_57_1) &
% 193.75/30.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_2) & $i(all_57_3) & $i(all_57_4) &
% 193.75/30.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 193.75/30.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9))
% 193.75/30.56 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (1551), (2030), (2057), (2064),
% 193.75/30.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 193.75/30.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | #1463.
% 193.75/30.56 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.56 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 193.75/30.56 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.56 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 193.75/30.56 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.56 | | | | | | | | | | | | | | | | | | | | | | | | | | (2065) (all_57_11 = e1 & ~ (all_57_13 = e2) & ~
% 193.75/30.56 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_16 = e3) & ~ (all_57_18 = e2) & ~
% 193.75/30.56 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_22 = e0) & op(e2,
% 193.75/30.56 | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e1 & op(e2, e1) = all_57_13 & op(e1,
% 193.75/30.56 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17) = all_57_16 & op(e1, all_57_19) =
% 193.75/30.56 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_18 & op(e1, all_57_21) = all_57_20 &
% 193.75/30.56 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_23) = all_57_22 & op(e1, e3) =
% 193.75/30.56 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e1, e2) = all_57_19 & op(e1, e1)
% 193.75/30.56 | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_21 & op(e1, e0) = all_57_23 &
% 193.75/30.56 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13) & $i(all_57_16) & $i(all_57_17) &
% 193.75/30.56 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_19) & $i(all_57_20) &
% 193.75/30.56 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_22) & $i(all_57_23)) |
% 193.75/30.56 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e0 & ~ (all_57_15 = e2) & ~
% 193.75/30.56 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 193.75/30.56 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) & op(e2,
% 193.75/30.56 | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e0 & op(e2, e0) = all_57_15 & op(e0,
% 193.75/30.56 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25) = all_57_24 & op(e0, all_57_27) =
% 193.75/30.56 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e0, all_57_29) = all_57_28 &
% 193.75/30.56 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_31) = all_57_30 & op(e0, e3) =
% 193.75/30.56 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_27 & op(e0, e1)
% 193.75/30.56 | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_29 & op(e0, e0) = all_57_31 &
% 193.75/30.56 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & $i(all_57_24) & $i(all_57_25) &
% 193.75/30.56 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_27) & $i(all_57_28) &
% 193.75/30.56 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29) & $i(all_57_30) & $i(all_57_31)) |
% 193.75/30.56 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e3 & ~ (all_57_0 = e3) & ~
% 193.75/30.56 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e2) & ~ (all_57_4 = e1) & ~
% 193.75/30.56 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_6 = e0) & ~ (all_57_17 = e1) & op(e3,
% 193.75/30.56 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1) = all_57_0 & op(e3, all_57_3) =
% 193.75/30.56 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_2 & op(e3, all_57_5) = all_57_4 & op(e3,
% 193.75/30.56 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7) = all_57_6 & op(e3, e3) = all_57_1 &
% 193.75/30.56 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_3 & op(e3, e1) = all_57_5 &
% 193.75/30.56 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_7 & op(e1, e3) = all_57_17 &
% 193.75/30.56 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e3 & $i(all_57_0) & $i(all_57_1) &
% 193.75/30.56 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_2) & $i(all_57_3) & $i(all_57_4) &
% 193.75/30.56 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 193.75/30.56 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_17)) | (all_57_21 = e2 & ~ (all_57_8
% 193.75/30.56 | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_10 = e2) & ~ (all_57_12 =
% 193.75/30.56 | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_14 = e0) & ~ (all_57_19 =
% 193.75/30.56 | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & op(e2, all_57_9) = all_57_8 & op(e2,
% 193.75/30.56 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_11) = all_57_10 & op(e2, all_57_13) =
% 193.75/30.56 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & op(e2, all_57_15) = all_57_14 &
% 193.75/30.56 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_9 & op(e2, e2) = all_57_11 &
% 193.75/30.56 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_57_13 & op(e2, e0) = all_57_15
% 193.75/30.56 | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = all_57_19 & op(e1, e1) = e2 &
% 193.75/30.56 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8) & $i(all_57_9) & $i(all_57_10) &
% 193.75/30.56 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_12) & $i(all_57_13) &
% 193.75/30.56 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & $i(all_57_15) & $i(all_57_19)) |
% 193.75/30.56 | | | | | | | | | | | | | | | | | | | | | | | | | | (op(e0, e0) = all_57_31 & $i(all_57_31) &
% 193.75/30.56 | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_21 = e0 & ~ (all_57_23 = e1) & ~
% 193.75/30.56 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 193.75/30.56 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) &
% 193.75/30.56 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = all_57_23 &
% 193.75/30.56 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_25) = all_57_24 & op(e0,
% 193.75/30.56 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27) = all_57_26 & op(e0, all_57_29)
% 193.75/30.56 | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_28 & op(e0, all_57_31) = all_57_30
% 193.75/30.56 | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e3) = all_57_25 & op(e0, e2) =
% 193.75/30.56 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27 & op(e0, e1) = all_57_29 &
% 193.75/30.56 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23) & $i(all_57_24) &
% 193.75/30.56 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_25) & $i(all_57_26) &
% 193.75/30.56 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27) & $i(all_57_28) &
% 193.75/30.56 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29) & $i(all_57_30)) | (all_57_31
% 193.75/30.56 | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & ~ (all_57_0 = e3) & ~ (all_57_2 =
% 193.75/30.56 | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_4 = e1) & ~ (all_57_6 =
% 193.75/30.56 | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_25 = e0) & op(e3,
% 193.75/30.56 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1) = all_57_0 & op(e3, all_57_3) =
% 193.75/30.56 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_2 & op(e3, all_57_5) = all_57_4 &
% 193.75/30.56 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, all_57_7) = all_57_6 & op(e3, e3) =
% 193.75/30.56 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e2) = all_57_3 & op(e3,
% 193.75/30.56 | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_5 & op(e3, e0) = all_57_7 &
% 193.75/30.56 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_25 & $i(all_57_0) &
% 193.75/30.56 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_2) & $i(all_57_3) &
% 193.75/30.56 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4) & $i(all_57_5) & $i(all_57_6) &
% 193.75/30.56 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7) & $i(all_57_25)) | (all_57_31 =
% 193.75/30.56 | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_8 = e3) & ~ (all_57_10 =
% 193.75/30.56 | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_12 = e1) & ~ (all_57_14
% 193.75/30.56 | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_27 = e0) & op(e2,
% 193.75/30.56 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_9) = all_57_8 & op(e2, all_57_11) =
% 193.75/30.56 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e2, all_57_13) = all_57_12 &
% 193.75/30.56 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_15) = all_57_14 & op(e2, e3) =
% 193.75/30.56 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_9 & op(e2, e2) = all_57_11 & op(e2,
% 193.75/30.56 | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_13 & op(e2, e0) = all_57_15 &
% 193.75/30.56 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_27 & $i(all_57_8) &
% 193.75/30.56 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9) & $i(all_57_10) & $i(all_57_11)
% 193.75/30.56 | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_12) & $i(all_57_13) &
% 193.75/30.56 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & $i(all_57_15) &
% 193.75/30.56 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27)) | (all_57_31 = e1 & ~
% 193.75/30.56 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_16 = e3) & ~ (all_57_18 = e2) & ~
% 193.75/30.56 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_22 = e0) & ~
% 193.75/30.56 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_29 = e0) & op(e1, all_57_17) =
% 193.75/30.56 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_16 & op(e1, all_57_19) = all_57_18 &
% 193.75/30.56 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_21) = all_57_20 & op(e1,
% 193.75/30.56 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23) = all_57_22 & op(e1, e3) =
% 193.75/30.56 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e1, e2) = all_57_19 & op(e1,
% 193.75/30.56 | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_21 & op(e1, e0) = all_57_23 &
% 193.75/30.56 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = all_57_29 & $i(all_57_16) &
% 193.75/30.56 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_17) & $i(all_57_18) &
% 193.75/30.56 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_20) &
% 193.75/30.56 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_22) &
% 193.75/30.56 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23) & $i(all_57_29))))
% 193.75/30.56 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.56 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2065) gives:
% 193.75/30.56 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.56 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 193.75/30.56 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2066) (all_57_11 = e1 & ~ (all_57_13 = e2) & ~
% 193.75/30.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_16 = e3) & ~ (all_57_18 = e2) & ~
% 193.75/30.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_22 = e0) & op(e2,
% 193.75/30.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e1 & op(e2, e1) = all_57_13 & op(e1,
% 193.75/30.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17) = all_57_16 & op(e1, all_57_19) =
% 193.75/30.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_18 & op(e1, all_57_21) = all_57_20 &
% 193.75/30.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_23) = all_57_22 & op(e1, e3) =
% 193.75/30.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e1, e2) = all_57_19 & op(e1, e1)
% 193.75/30.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_21 & op(e1, e0) = all_57_23 &
% 193.75/30.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13) & $i(all_57_16) & $i(all_57_17) &
% 193.75/30.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_19) & $i(all_57_20) &
% 193.75/30.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_22) & $i(all_57_23)) |
% 193.75/30.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e0 & ~ (all_57_15 = e2) & ~
% 193.75/30.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 193.75/30.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) & op(e2,
% 193.75/30.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e0 & op(e2, e0) = all_57_15 & op(e0,
% 193.75/30.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25) = all_57_24 & op(e0, all_57_27) =
% 193.75/30.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e0, all_57_29) = all_57_28 &
% 193.75/30.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_31) = all_57_30 & op(e0, e3) =
% 193.75/30.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_27 & op(e0, e1)
% 193.75/30.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_29 & op(e0, e0) = all_57_31 &
% 193.75/30.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & $i(all_57_24) & $i(all_57_25) &
% 193.75/30.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_27) & $i(all_57_28) &
% 193.75/30.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29) & $i(all_57_30) & $i(all_57_31))
% 193.75/30.56 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (1551), (2030), (2057), (2066),
% 193.75/30.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 193.75/30.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | #1462.
% 193.75/30.56 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.56 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 193.75/30.56 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2067) (all_57_21 = e3 & ~ (all_57_0 = e3) & ~
% 193.75/30.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e2) & ~ (all_57_4 = e1) & ~
% 193.75/30.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_6 = e0) & ~ (all_57_17 = e1) & op(e3,
% 193.75/30.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1) = all_57_0 & op(e3, all_57_3) =
% 193.75/30.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_2 & op(e3, all_57_5) = all_57_4 & op(e3,
% 193.75/30.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7) = all_57_6 & op(e3, e3) = all_57_1 &
% 193.75/30.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_3 & op(e3, e1) = all_57_5 &
% 193.75/30.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_7 & op(e1, e3) = all_57_17 &
% 193.75/30.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e3 & $i(all_57_0) & $i(all_57_1) &
% 193.75/30.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_2) & $i(all_57_3) & $i(all_57_4) &
% 193.75/30.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 193.75/30.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_17)) | (all_57_21 = e2 & ~ (all_57_8
% 193.75/30.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_10 = e2) & ~ (all_57_12 =
% 193.75/30.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_14 = e0) & ~ (all_57_19 =
% 193.75/30.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & op(e2, all_57_9) = all_57_8 & op(e2,
% 193.75/30.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_11) = all_57_10 & op(e2, all_57_13) =
% 193.75/30.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & op(e2, all_57_15) = all_57_14 &
% 193.75/30.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_9 & op(e2, e2) = all_57_11 &
% 193.75/30.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_57_13 & op(e2, e0) = all_57_15
% 193.75/30.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = all_57_19 & op(e1, e1) = e2 &
% 193.75/30.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8) & $i(all_57_9) & $i(all_57_10) &
% 193.75/30.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_12) & $i(all_57_13) &
% 193.75/30.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & $i(all_57_15) & $i(all_57_19)) |
% 193.75/30.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | (op(e0, e0) = all_57_31 & $i(all_57_31) &
% 193.75/30.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_21 = e0 & ~ (all_57_23 = e1) & ~
% 193.75/30.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 193.75/30.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) &
% 193.75/30.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = all_57_23 &
% 193.75/30.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_25) = all_57_24 & op(e0,
% 193.75/30.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27) = all_57_26 & op(e0, all_57_29)
% 193.75/30.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_28 & op(e0, all_57_31) = all_57_30
% 193.75/30.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e3) = all_57_25 & op(e0, e2) =
% 193.75/30.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27 & op(e0, e1) = all_57_29 &
% 193.75/30.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23) & $i(all_57_24) &
% 193.75/30.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_25) & $i(all_57_26) &
% 193.75/30.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27) & $i(all_57_28) &
% 193.75/30.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29) & $i(all_57_30)) | (all_57_31
% 193.75/30.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & ~ (all_57_0 = e3) & ~ (all_57_2 =
% 193.75/30.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_4 = e1) & ~ (all_57_6 =
% 193.75/30.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_25 = e0) & op(e3,
% 193.75/30.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1) = all_57_0 & op(e3, all_57_3) =
% 193.75/30.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_2 & op(e3, all_57_5) = all_57_4 &
% 193.75/30.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, all_57_7) = all_57_6 & op(e3, e3) =
% 193.75/30.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e2) = all_57_3 & op(e3,
% 193.75/30.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_5 & op(e3, e0) = all_57_7 &
% 193.75/30.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_25 & $i(all_57_0) &
% 193.75/30.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_2) & $i(all_57_3) &
% 193.75/30.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4) & $i(all_57_5) & $i(all_57_6) &
% 193.75/30.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7) & $i(all_57_25)) | (all_57_31 =
% 193.75/30.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_8 = e3) & ~ (all_57_10 =
% 193.75/30.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_12 = e1) & ~ (all_57_14
% 193.75/30.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_27 = e0) & op(e2,
% 193.75/30.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_9) = all_57_8 & op(e2, all_57_11) =
% 193.75/30.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e2, all_57_13) = all_57_12 &
% 193.75/30.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_15) = all_57_14 & op(e2, e3) =
% 193.75/30.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_9 & op(e2, e2) = all_57_11 & op(e2,
% 193.75/30.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_13 & op(e2, e0) = all_57_15 &
% 193.75/30.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_27 & $i(all_57_8) &
% 193.75/30.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9) & $i(all_57_10) & $i(all_57_11)
% 193.75/30.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_12) & $i(all_57_13) &
% 193.75/30.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & $i(all_57_15) &
% 193.75/30.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27)) | (all_57_31 = e1 & ~
% 193.75/30.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_16 = e3) & ~ (all_57_18 = e2) & ~
% 193.75/30.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_22 = e0) & ~
% 193.75/30.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_29 = e0) & op(e1, all_57_17) =
% 193.75/30.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_16 & op(e1, all_57_19) = all_57_18 &
% 193.75/30.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_21) = all_57_20 & op(e1,
% 193.75/30.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23) = all_57_22 & op(e1, e3) =
% 193.75/30.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e1, e2) = all_57_19 & op(e1,
% 193.75/30.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_21 & op(e1, e0) = all_57_23 &
% 193.75/30.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = all_57_29 & $i(all_57_16) &
% 193.75/30.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_17) & $i(all_57_18) &
% 193.75/30.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_20) &
% 193.75/30.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_22) &
% 193.75/30.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23) & $i(all_57_29))))
% 193.75/30.57 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2067) gives:
% 193.75/30.57 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 193.75/30.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2068) all_57_21 = e3 & ~ (all_57_0 = e3) & ~ (all_57_2
% 193.75/30.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2) & ~ (all_57_4 = e1) & ~ (all_57_6 = e0)
% 193.75/30.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_17 = e1) & op(e3, all_57_1) =
% 193.75/30.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_0 & op(e3, all_57_3) = all_57_2 & op(e3,
% 193.75/30.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_5) = all_57_4 & op(e3, all_57_7) =
% 193.75/30.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_6 & op(e3, e3) = all_57_1 & op(e3, e2) =
% 193.75/30.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 & op(e3, e1) = all_57_5 & op(e3, e0) =
% 193.75/30.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7 & op(e1, e3) = all_57_17 & op(e1, e1) =
% 193.75/30.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & $i(all_57_0) & $i(all_57_1) & $i(all_57_2) &
% 193.75/30.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_3) & $i(all_57_4) & $i(all_57_5) &
% 193.75/30.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_6) & $i(all_57_7) & $i(all_57_17)
% 193.75/30.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2068) implies:
% 193.75/30.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2069) ~ (all_57_17 = e1)
% 193.75/30.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2070) ~ (all_57_4 = e1)
% 193.75/30.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2071) ~ (all_57_2 = e2)
% 193.75/30.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2072) op(e1, e3) = all_57_17
% 193.75/30.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2073) op(e3, e1) = all_57_5
% 193.75/30.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2074) op(e3, e2) = all_57_3
% 193.75/30.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2075) op(e3, e3) = all_57_1
% 193.75/30.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2076) op(e3, all_57_5) = all_57_4
% 193.75/30.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2077) op(e3, all_57_3) = all_57_2
% 193.75/30.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (91) gives:
% 193.75/30.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 193.75/30.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2078) ~ (all_40_2 = e1)
% 193.75/30.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2052), (2078) imply:
% 193.75/30.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2079) $false
% 193.75/30.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2079) is inconsistent.
% 193.75/30.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 193.75/30.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2080) op(e1, e0) = all_40_1 & $i(all_40_1) & ( ~
% 193.75/30.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_40_1 = e3) | ( ~ (all_40_0 = e2) & op(e3,
% 193.75/30.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_40_0 & $i(all_40_0)))
% 193.75/30.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2080) implies:
% 193.75/30.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2081) op(e1, e0) = all_40_1
% 193.75/30.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e0, all_46_1,
% 193.75/30.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0, e1, simplifying with (2019), (2061) gives:
% 193.75/30.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2082) all_46_1 = e0
% 193.75/30.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_40_1,
% 193.75/30.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_46_1, e0, e1, simplifying with (2061), (2081)
% 193.75/30.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 193.75/30.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2083) all_46_1 = all_40_1
% 193.75/30.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_2,
% 193.75/30.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17, e3, e1, simplifying with (163), (2072)
% 193.75/30.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 193.75/30.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2084) all_57_17 = all_52_2
% 193.75/30.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e0, all_57_1,
% 193.75/30.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3, e3, simplifying with (2012), (2075) gives:
% 193.75/30.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2085) all_57_1 = e0
% 193.75/30.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2082), (2083) imply:
% 193.75/30.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2086) all_40_1 = e0
% 193.75/30.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2086) implies:
% 193.75/30.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2087) all_40_1 = e0
% 193.75/30.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2069), (2084) imply:
% 193.75/30.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2088) ~ (all_52_2 = e1)
% 193.75/30.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (196) gives:
% 193.75/30.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 193.75/30.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2089) all_54_8 = e3
% 193.75/30.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (259), (1667), (2089) are inconsistent by
% 193.75/30.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1393.
% 193.75/30.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 193.75/30.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2090) all_54_8 = e2 | all_54_8 = e1 | all_54_8 = e0
% 193.75/30.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2090) gives:
% 193.75/30.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 193.75/30.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2091) all_54_8 = e2
% 193.75/30.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (259), (2091) imply:
% 193.75/30.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2092) all_52_2 = e2
% 193.75/30.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2092) implies:
% 193.75/30.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2093) all_52_2 = e2
% 193.75/30.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (149), (2093) imply:
% 193.75/30.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2094) ~ (all_52_1 = e2)
% 193.75/30.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (143), (2093) imply:
% 193.75/30.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2095) ~ (all_52_6 = e2)
% 193.75/30.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2095) implies:
% 193.75/30.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2096) ~ (all_52_6 = e2)
% 193.75/30.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2038), (2093) imply:
% 193.75/30.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2097) ~ (all_34_1 = e2)
% 193.75/30.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2097) implies:
% 193.75/30.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2098) ~ (all_34_1 = e2)
% 193.75/30.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (192) gives:
% 193.75/30.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 193.75/30.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2099) all_54_12 = e3
% 193.75/30.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2036), (2099) imply:
% 193.75/30.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2100) all_34_1 = e3
% 193.75/30.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2100) implies:
% 193.75/30.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2101) all_34_1 = e3
% 193.75/30.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2037), (2101) imply:
% 193.75/30.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2102) ~ (all_52_1 = e3)
% 193.75/30.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (235) gives:
% 193.75/30.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 193.75/30.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2103) (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_2 = e3
% 193.75/30.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e3)
% 193.75/30.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2103) gives:
% 193.75/30.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 193.75/30.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2104) all_56_0 = e3 & op(e3, e3) = e3
% 193.75/30.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2104) implies:
% 193.75/30.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2105) op(e3, e3) = e3
% 193.75/30.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (2012), (2075), (2105), (function-axioms) are
% 193.75/30.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1392.
% 193.75/30.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 193.75/30.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2106) all_56_2 = e3 & op(e2, e3) = e3
% 193.75/30.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (167), (2102), (2106), (function-axioms) are
% 193.75/30.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1397.
% 193.75/30.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 193.75/30.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 193.75/30.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2107) (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_12 =
% 193.75/30.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e3) = e3)
% 193.75/30.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2107) gives:
% 193.75/30.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 193.75/30.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2108) all_56_6 = e3 & op(e1, e3) = e3
% 193.75/30.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2108) implies:
% 193.75/30.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2109) all_56_6 = e3
% 193.75/30.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2110) op(e1, e3) = e3
% 193.75/30.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (8), (9), (214), (215), (1673),
% 193.75/30.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2018), (2019), (2109), (2110), (function-axioms)
% 193.75/30.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1574.
% 193.75/30.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 193.75/30.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2111) all_56_12 = e3 & op(e0, e3) = e3
% 193.75/30.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2111) implies:
% 193.75/30.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2112) all_56_12 = e3
% 193.75/30.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (224) gives:
% 193.75/30.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 193.75/30.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2113) (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3
% 193.75/30.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e3)
% 193.75/30.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (167), (1551), (2102), (2113),
% 193.75/30.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 193.75/30.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1391.
% 193.75/30.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 193.75/30.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2114) (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 =
% 193.75/30.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e0) = e3)
% 193.75/30.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2114) gives:
% 193.75/30.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 193.75/30.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2115) all_56_5 = e3 & op(e2, e1) = e3
% 193.75/30.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2115) implies:
% 193.75/30.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2116) op(e2, e1) = e3
% 193.75/30.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (1670), (2116), (function-axioms) are
% 193.75/30.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1861.
% 193.75/30.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 193.75/30.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2117) all_56_10 = e3 & op(e2, e0) = e3
% 193.75/30.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2117) implies:
% 193.75/30.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2118) all_56_10 = e3
% 193.75/30.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (228) gives:
% 193.75/30.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 193.75/30.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2119) (all_56_1 = e3 & op(e3, e2) = e3) | (all_56_3 = e3
% 193.75/30.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e3)
% 193.75/30.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2119) gives:
% 193.75/30.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 193.75/30.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2120) all_56_1 = e3 & op(e3, e2) = e3
% 193.75/30.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2120) implies:
% 193.75/30.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2121) all_56_1 = e3
% 193.75/30.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (211) gives:
% 193.75/30.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 193.75/30.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2122) (all_56_9 = e2 & op(e3, e0) = e2) | (all_56_10 =
% 193.75/30.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2)
% 193.75/30.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2122) gives:
% 193.75/30.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 193.75/30.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2123) all_56_9 = e2 & op(e3, e0) = e2
% 193.75/30.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2123) implies:
% 193.75/30.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2124) op(e3, e0) = e2
% 193.75/30.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (231) gives:
% 193.75/30.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 193.75/30.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2125) (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_2 = e1
% 193.75/30.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e1)
% 193.75/30.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2125) gives:
% 193.75/30.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 193.75/30.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2126) all_56_0 = e1 & op(e3, e3) = e1
% 193.75/30.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2126) implies:
% 193.75/30.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2127) op(e3, e3) = e1
% 193.75/30.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (2012), (2127), (function-axioms) are
% 193.75/30.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1834.
% 193.75/30.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 193.75/30.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2128) all_56_2 = e1 & op(e2, e3) = e1
% 193.75/30.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2128) implies:
% 193.75/30.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2129) all_56_2 = e1
% 193.75/30.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (200) gives:
% 193.75/30.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 193.75/30.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2130) all_54_4 = e3
% 193.75/30.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (269), (2130) imply:
% 193.75/30.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2131) all_52_1 = e3
% 193.75/30.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2102), (2131) imply:
% 193.75/30.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2132) $false
% 193.75/30.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2132) is inconsistent.
% 193.75/30.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 193.75/30.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2133) ~ (all_54_4 = e3)
% 193.75/30.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2134) all_54_4 = e2 | all_54_4 = e1 | all_54_4 = e0
% 193.75/30.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2134) gives:
% 193.75/30.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 193.75/30.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2135) all_54_4 = e2
% 193.75/30.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (269), (2135) imply:
% 193.75/30.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2136) all_52_1 = e2
% 193.75/30.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2094), (2136) imply:
% 193.75/30.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2137) $false
% 193.75/30.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2137) is inconsistent.
% 193.75/30.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 193.75/30.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2138) ~ (all_54_4 = e2)
% 193.75/30.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2139) all_54_4 = e1 | all_54_4 = e0
% 193.75/30.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2139) gives:
% 193.75/30.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 193.75/30.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2140) all_54_4 = e1
% 193.75/30.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (269), (2140) imply:
% 193.75/30.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2141) all_52_1 = e1
% 193.75/30.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (146), (2141) imply:
% 193.75/30.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2142) ~ (all_52_9 = e1)
% 193.75/30.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2142) implies:
% 193.75/30.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2143) ~ (all_52_9 = e1)
% 193.75/30.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (218) gives:
% 193.75/30.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 193.75/30.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2144) (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_5 = e1
% 193.75/30.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e1)
% 193.75/30.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (2070), (2073), (2076), (2143), (2144),
% 193.75/30.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 193.75/30.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1389.
% 193.75/30.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 193.75/30.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2145) (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_14 =
% 193.75/30.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e1) = e1)
% 193.75/30.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2145) gives:
% 193.75/30.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 193.75/30.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2146) all_56_8 = e1 & op(e1, e1) = e1
% 193.75/30.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2146) implies:
% 193.75/30.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2147) op(e1, e1) = e1
% 193.75/30.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (1673), (2147), (function-axioms) are
% 193.75/30.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1958.
% 193.75/30.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 193.75/30.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2148) all_56_14 = e1 & op(e0, e1) = e1
% 193.75/30.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2148) implies:
% 193.75/30.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2149) all_56_14 = e1
% 193.75/30.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2029), (2149) imply:
% 193.75/30.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2150) e1 = e0
% 193.75/30.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (158), (162), (222),
% 193.75/30.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (223), (224), (225), (226), (227), (228), (1545),
% 193.75/30.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1546), (1551), (2118), (2129), (2150),
% 193.75/30.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 193.75/30.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1388.
% 193.75/30.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 193.75/30.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 193.75/30.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 193.75/30.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2151) all_54_4 = e0
% 193.75/30.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (269), (2151) imply:
% 193.75/30.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2152) all_52_1 = e0
% 193.75/30.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1543), (2152) imply:
% 193.75/30.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2153) $false
% 193.75/30.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2153) is inconsistent.
% 193.75/30.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 193.75/30.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 193.75/30.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 193.75/30.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 193.75/30.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 193.75/30.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2154) (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_12 =
% 193.75/30.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e3) = e1)
% 193.75/30.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2154) gives:
% 193.75/30.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 193.75/30.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2155) all_56_6 = e1 & op(e1, e3) = e1
% 193.75/30.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2155) implies:
% 193.75/30.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2156) op(e1, e3) = e1
% 193.75/30.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2069), (2072), (2156), (function-axioms) are
% 193.75/30.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1850.
% 193.75/30.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 193.75/30.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2157) all_56_12 = e1 & op(e0, e3) = e1
% 193.75/30.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2157) implies:
% 193.75/30.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2158) all_56_12 = e1
% 193.75/30.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2112), (2158) imply:
% 193.75/30.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2159) e3 = e1
% 193.75/30.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2159) implies:
% 193.75/30.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2160) e3 = e1
% 193.75/30.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2121), (2160) imply:
% 193.75/30.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2161) all_56_1 = e1
% 193.75/30.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8), (9), (169), (236), (1669), (2012),
% 193.75/30.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2124), (2161), (function-axioms) are inconsistent
% 193.75/30.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1385.
% 193.75/30.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 193.75/30.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 193.75/30.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 193.75/30.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2162) all_56_10 = e2 & op(e2, e0) = e2
% 193.75/30.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (2118), (2162) are inconsistent by sub-proof
% 193.75/30.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1796.
% 193.75/30.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 193.75/30.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 193.75/30.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2163) (all_56_11 = e2 & op(e1, e0) = e2) | (all_56_15 =
% 193.75/30.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = e2)
% 193.75/30.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2163) gives:
% 193.75/30.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 193.75/30.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2164) all_56_11 = e2 & op(e1, e0) = e2
% 193.75/30.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (2018), (2164) are inconsistent by sub-proof
% 193.75/30.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1384.
% 193.75/30.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 193.75/30.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2165) all_56_15 = e2 & op(e0, e0) = e2
% 193.75/30.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2165) implies:
% 193.75/30.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2166) op(e0, e0) = e2
% 193.75/30.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (2057), (2166), (function-axioms) are
% 193.75/30.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1843.
% 193.75/30.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 193.75/30.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 193.75/30.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 193.75/30.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2167) all_56_3 = e3 & op(e2, e2) = e3
% 193.75/30.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2167) implies:
% 193.75/30.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2168) op(e2, e2) = e3
% 193.75/30.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (1551), (2168), (function-axioms) are
% 193.75/30.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1661.
% 193.75/30.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 193.75/30.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 193.75/30.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2169) (all_56_7 = e3 & op(e1, e2) = e3) | (all_56_13 =
% 193.75/30.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e2) = e3)
% 193.75/30.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2169) gives:
% 193.75/30.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 193.75/30.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2170) all_56_7 = e3 & op(e1, e2) = e3
% 193.75/30.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (162), (1668), (2170), (function-axioms) are
% 193.75/30.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1827.
% 193.75/30.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 193.75/30.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2171) all_56_13 = e3 & op(e0, e2) = e3
% 193.75/30.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2171) implies:
% 193.75/30.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2172) all_56_13 = e3
% 193.75/30.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (211) gives:
% 193.75/30.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 193.75/30.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2173) (all_56_9 = e2 & op(e3, e0) = e2) | (all_56_10 =
% 193.75/30.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2)
% 193.75/30.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2173) gives:
% 193.75/30.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 193.75/30.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2174) all_56_9 = e2 & op(e3, e0) = e2
% 193.75/30.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2174) implies:
% 193.75/30.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2175) all_56_9 = e2
% 193.75/30.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (227) gives:
% 193.75/30.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 193.75/30.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2176) (all_56_1 = e2 & op(e3, e2) = e2) | (all_56_3 = e2
% 193.75/30.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e2)
% 193.75/30.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (1551), (2071), (2074), (2077), (2176),
% 193.75/30.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 193.75/30.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1382.
% 193.75/30.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 193.75/30.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2177) (all_56_7 = e2 & op(e1, e2) = e2) | (all_56_13 =
% 193.75/30.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e2)
% 193.75/30.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2177) gives:
% 193.75/30.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 193.75/30.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2178) all_56_7 = e2 & op(e1, e2) = e2
% 193.75/30.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2178) implies:
% 193.75/30.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2179) op(e1, e2) = e2
% 193.75/30.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (162), (2096), (2179), (function-axioms) are
% 193.75/30.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1970.
% 193.75/30.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 193.75/30.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2180) all_56_13 = e2 & op(e0, e2) = e2
% 193.75/30.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2180) implies:
% 193.75/30.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2181) all_56_13 = e2
% 193.75/30.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2172), (2181) imply:
% 193.75/30.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2182) e3 = e2
% 193.75/30.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2118), (2182) imply:
% 193.75/30.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2183) all_56_10 = e2
% 193.75/30.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (206), (210), (212),
% 193.75/30.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2175), (2183) are inconsistent by sub-proof
% 193.75/30.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1775.
% 193.75/30.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 193.75/30.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 193.75/30.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 193.75/30.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2184) all_56_10 = e2 & op(e2, e0) = e2
% 193.75/30.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (2118), (2184) are inconsistent by sub-proof
% 193.75/30.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1796.
% 193.75/30.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 193.75/30.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 193.75/30.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2185) (all_56_11 = e2 & op(e1, e0) = e2) | (all_56_15 =
% 193.75/30.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = e2)
% 193.75/30.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (2018), (2057), (2185),
% 193.75/30.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 193.75/30.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1702.
% 193.75/30.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 193.75/30.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 193.75/30.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 193.75/30.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 193.75/30.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 193.75/30.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 193.75/30.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 193.75/30.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 193.75/30.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2186) all_54_12 = e2 | all_54_12 = e1 | all_54_12 = e0
% 193.75/30.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2036), (2040), (2054), (2098), (2186) are
% 193.75/30.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1380.
% 193.75/30.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 193.75/30.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 193.75/30.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2187) all_54_8 = e1 | all_54_8 = e0
% 193.75/30.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (259), (2008), (2088), (2187) are inconsistent by
% 193.75/30.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1377.
% 193.75/30.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 193.75/30.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 193.75/30.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 193.75/30.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 193.75/30.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2188) (all_57_21 = e2 & ~ (all_57_8 = e3) & ~
% 193.75/30.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e2) & ~ (all_57_12 = e1) & ~
% 193.75/30.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e0) & ~ (all_57_19 = e1) & op(e2,
% 193.75/30.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_9) = all_57_8 & op(e2, all_57_11) =
% 193.75/30.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e2, all_57_13) = all_57_12 &
% 193.75/30.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_15) = all_57_14 & op(e2, e3) =
% 193.75/30.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_9 & op(e2, e2) = all_57_11 & op(e2, e1) =
% 193.75/30.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_13 & op(e2, e0) = all_57_15 & op(e1, e2)
% 193.75/30.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_19 & op(e1, e1) = e2 & $i(all_57_8) &
% 193.75/30.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9) & $i(all_57_10) & $i(all_57_11) &
% 193.75/30.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & $i(all_57_13) & $i(all_57_14) &
% 193.75/30.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & $i(all_57_19)) | (op(e0, e0) =
% 193.75/30.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_31 & $i(all_57_31) & ((all_57_21 = e0 &
% 193.75/30.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_23 = e1) & ~ (all_57_24 = e3) &
% 193.75/30.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_26 = e2) & ~ (all_57_28 = e1) &
% 193.75/30.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_30 = e0) & op(e1, e1) = e0 &
% 193.75/30.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_23 & op(e0, all_57_25) =
% 193.75/30.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_24 & op(e0, all_57_27) = all_57_26 &
% 193.75/30.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_29) = all_57_28 & op(e0,
% 193.75/30.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_31) = all_57_30 & op(e0, e3) =
% 193.75/30.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_27 & op(e0,
% 193.75/30.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_29 & $i(all_57_23) &
% 193.75/30.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_24) & $i(all_57_25) &
% 193.75/30.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_27) &
% 193.75/30.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28) & $i(all_57_29) &
% 193.75/30.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_31 = e3 & ~
% 193.75/30.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_0 = e3) & ~ (all_57_2 = e2) & ~
% 193.75/30.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1) & ~ (all_57_6 = e0) & ~
% 193.75/30.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_25 = e0) & op(e3, all_57_1) =
% 193.75/30.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_0 & op(e3, all_57_3) = all_57_2 &
% 193.75/30.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, all_57_5) = all_57_4 & op(e3,
% 193.75/30.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7) = all_57_6 & op(e3, e3) =
% 193.75/30.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e2) = all_57_3 & op(e3,
% 193.75/30.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_5 & op(e3, e0) = all_57_7 &
% 193.75/30.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_25 & $i(all_57_0) &
% 193.75/30.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_2) & $i(all_57_3) &
% 193.75/30.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4) & $i(all_57_5) & $i(all_57_6) &
% 193.75/30.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7) & $i(all_57_25)) | (all_57_31 =
% 193.75/30.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_8 = e3) & ~ (all_57_10 =
% 193.75/30.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_12 = e1) & ~ (all_57_14
% 193.75/30.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_27 = e0) & op(e2,
% 193.75/30.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_9) = all_57_8 & op(e2, all_57_11) =
% 193.75/30.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e2, all_57_13) = all_57_12 &
% 193.75/30.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_15) = all_57_14 & op(e2, e3) =
% 193.75/30.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_9 & op(e2, e2) = all_57_11 & op(e2,
% 193.75/30.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_13 & op(e2, e0) = all_57_15 &
% 193.75/30.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_27 & $i(all_57_8) &
% 193.75/30.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9) & $i(all_57_10) & $i(all_57_11)
% 193.75/30.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_12) & $i(all_57_13) &
% 193.75/30.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & $i(all_57_15) &
% 193.75/30.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27)) | (all_57_31 = e1 & ~
% 193.75/30.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_16 = e3) & ~ (all_57_18 = e2) & ~
% 193.75/30.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_22 = e0) & ~
% 193.75/30.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_29 = e0) & op(e1, all_57_17) =
% 193.75/30.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_16 & op(e1, all_57_19) = all_57_18 &
% 193.75/30.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_21) = all_57_20 & op(e1,
% 193.75/30.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23) = all_57_22 & op(e1, e3) =
% 193.75/30.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e1, e2) = all_57_19 & op(e1,
% 193.75/30.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_21 & op(e1, e0) = all_57_23 &
% 193.75/30.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = all_57_29 & $i(all_57_16) &
% 193.75/30.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_17) & $i(all_57_18) &
% 193.75/30.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_20) &
% 193.75/30.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_22) &
% 193.75/30.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23) & $i(all_57_29))))
% 193.75/30.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (8), (9), (1673), (2030), (2057), (2188),
% 193.75/30.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 193.75/30.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1376.
% 193.75/30.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 193.75/30.58 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.58 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 193.75/30.58 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.58 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 193.75/30.58 | | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.58 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 193.75/30.58 | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.58 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 193.75/30.58 | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.58 | | | | | | | | | | | | | | | | | | | | | | | | (2189) all_54_15 = e0
% 193.75/30.58 | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.58 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (246), (2042), (2189) are inconsistent by
% 193.75/30.58 | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1461.
% 193.75/30.58 | | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.58 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 193.75/30.58 | | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.58 | | | | | | | | | | | | | | | | | | | | | | End of split
% 193.75/30.58 | | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.58 | | | | | | | | | | | | | | | | | | | | | End of split
% 193.75/30.58 | | | | | | | | | | | | | | | | | | | | |
% 193.75/30.58 | | | | | | | | | | | | | | | | | | | | End of split
% 193.75/30.58 | | | | | | | | | | | | | | | | | | | |
% 193.75/30.58 | | | | | | | | | | | | | | | | | | | End of split
% 193.75/30.58 | | | | | | | | | | | | | | | | | | |
% 193.75/30.58 | | | | | | | | | | | | | | | | | | End of split
% 193.75/30.58 | | | | | | | | | | | | | | | | | |
% 193.75/30.58 | | | | | | | | | | | | | | | | | End of split
% 193.75/30.58 | | | | | | | | | | | | | | | | |
% 193.75/30.58 | | | | | | | | | | | | | | | | End of split
% 193.75/30.58 | | | | | | | | | | | | | | | |
% 193.75/30.58 | | | | | | | | | | | | | | | End of split
% 193.75/30.58 | | | | | | | | | | | | | | |
% 193.75/30.58 | | | | | | | | | | | | | | End of split
% 193.75/30.58 | | | | | | | | | | | | | |
% 193.75/30.58 | | | | | | | | | | | | | End of split
% 193.75/30.58 | | | | | | | | | | | | |
% 193.75/30.58 | | | | | | | | | | | | Case 2:
% 193.75/30.58 | | | | | | | | | | | | |
% 193.75/30.58 | | | | | | | | | | | | | (2190) all_30_2 = e2
% 193.75/30.58 | | | | | | | | | | | | | (2191) op(e2, e0) = all_30_1 & $i(all_30_1) & ( ~
% 193.75/30.58 | | | | | | | | | | | | | (all_30_1 = e3) | ( ~ (all_30_0 = e1) & op(e3,
% 193.75/30.58 | | | | | | | | | | | | | e2) = all_30_0 & $i(all_30_0)))
% 193.75/30.58 | | | | | | | | | | | | |
% 193.75/30.58 | | | | | | | | | | | | | ALPHA: (2191) implies:
% 193.75/30.58 | | | | | | | | | | | | | (2192) op(e2, e0) = all_30_1
% 193.75/30.58 | | | | | | | | | | | | | (2193) ~ (all_30_1 = e3) | ( ~ (all_30_0 = e1) & op(e3,
% 193.75/30.58 | | | | | | | | | | | | | e2) = all_30_0 & $i(all_30_0))
% 193.75/30.58 | | | | | | | | | | | | |
% 193.75/30.58 | | | | | | | | | | | | | COMBINE_EQS: (309), (2190) imply:
% 193.75/30.58 | | | | | | | | | | | | | (2194) all_10_2 = e2
% 193.75/30.58 | | | | | | | | | | | | |
% 193.75/30.58 | | | | | | | | | | | | | SIMP: (2194) implies:
% 193.75/30.58 | | | | | | | | | | | | | (2195) all_10_2 = e2
% 193.75/30.58 | | | | | | | | | | | | |
% 193.75/30.58 | | | | | | | | | | | | | COMBINE_EQS: (303), (2195) imply:
% 193.75/30.58 | | | | | | | | | | | | | (2196) all_42_2 = e2
% 193.75/30.58 | | | | | | | | | | | | |
% 193.75/30.58 | | | | | | | | | | | | | REDUCE: (350), (2195) imply:
% 193.75/30.58 | | | | | | | | | | | | | (2197) ~ (all_52_3 = e2)
% 193.75/30.58 | | | | | | | | | | | | |
% 193.75/30.58 | | | | | | | | | | | | | REDUCE: (368), (2195) imply:
% 193.75/30.58 | | | | | | | | | | | | | (2198) ~ (all_52_11 = e2)
% 193.75/30.58 | | | | | | | | | | | | |
% 193.75/30.58 | | | | | | | | | | | | | REDUCE: (369), (2195) imply:
% 193.75/30.58 | | | | | | | | | | | | | (2199) ~ (all_52_12 = e2)
% 193.75/30.58 | | | | | | | | | | | | |
% 193.75/30.58 | | | | | | | | | | | | | REDUCE: (370), (2195) imply:
% 193.75/30.58 | | | | | | | | | | | | | (2200) ~ (all_52_13 = e2)
% 193.75/30.58 | | | | | | | | | | | | |
% 193.75/30.58 | | | | | | | | | | | | | REDUCE: (371), (2195) imply:
% 193.75/30.58 | | | | | | | | | | | | | (2201) ~ (all_52_14 = e2)
% 193.75/30.58 | | | | | | | | | | | | |
% 193.75/30.58 | | | | | | | | | | | | | REDUCE: (1572), (2195) imply:
% 193.75/30.58 | | | | | | | | | | | | | (2202) ~ (all_20_1 = e2)
% 193.75/30.58 | | | | | | | | | | | | |
% 193.75/30.58 | | | | | | | | | | | | | REDUCE: (376), (2195) imply:
% 193.75/30.58 | | | | | | | | | | | | | (2203) ~ (e3 = e2)
% 193.75/30.58 | | | | | | | | | | | | |
% 193.75/30.58 | | | | | | | | | | | | | REDUCE: (45), (2195) imply:
% 193.75/30.58 | | | | | | | | | | | | | (2204) op(e0, e0) = e2
% 193.75/30.58 | | | | | | | | | | | | |
% 193.75/30.58 | | | | | | | | | | | | | BETA: splitting (94) gives:
% 193.75/30.58 | | | | | | | | | | | | |
% 193.75/30.58 | | | | | | | | | | | | | Case 1:
% 193.75/30.58 | | | | | | | | | | | | | |
% 193.75/30.58 | | | | | | | | | | | | | | (2205) ~ (all_42_2 = e2)
% 193.75/30.58 | | | | | | | | | | | | | |
% 193.75/30.58 | | | | | | | | | | | | | | REDUCE: (2196), (2205) imply:
% 193.75/30.58 | | | | | | | | | | | | | | (2206) $false
% 193.75/30.58 | | | | | | | | | | | | | |
% 193.75/30.58 | | | | | | | | | | | | | | CLOSE: (2206) is inconsistent.
% 193.75/30.58 | | | | | | | | | | | | | |
% 193.75/30.58 | | | | | | | | | | | | | Case 2:
% 193.75/30.58 | | | | | | | | | | | | | |
% 193.75/30.58 | | | | | | | | | | | | | | (2207) op(e2, e0) = all_42_1 & $i(all_42_1) & ( ~
% 193.75/30.58 | | | | | | | | | | | | | | (all_42_1 = e1) | ( ~ (all_42_0 = e3) & op(e1,
% 193.75/30.58 | | | | | | | | | | | | | | e2) = all_42_0 & $i(all_42_0)))
% 193.75/30.58 | | | | | | | | | | | | | |
% 193.75/30.58 | | | | | | | | | | | | | | ALPHA: (2207) implies:
% 193.75/30.58 | | | | | | | | | | | | | | (2208) op(e2, e0) = all_42_1
% 193.75/30.58 | | | | | | | | | | | | | |
% 193.75/30.58 | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_13,
% 193.75/30.58 | | | | | | | | | | | | | | all_30_1, e0, e2, simplifying with (164), (2192)
% 193.75/30.58 | | | | | | | | | | | | | | gives:
% 193.75/30.58 | | | | | | | | | | | | | | (2209) all_52_13 = all_30_1
% 193.75/30.58 | | | | | | | | | | | | | |
% 193.75/30.58 | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_13,
% 193.75/30.58 | | | | | | | | | | | | | | all_42_1, e0, e2, simplifying with (164), (2208)
% 193.75/30.58 | | | | | | | | | | | | | | gives:
% 193.75/30.58 | | | | | | | | | | | | | | (2210) all_52_13 = all_42_1
% 193.75/30.58 | | | | | | | | | | | | | |
% 193.75/30.58 | | | | | | | | | | | | | | COMBINE_EQS: (2209), (2210) imply:
% 193.75/30.58 | | | | | | | | | | | | | | (2211) all_42_1 = all_30_1
% 193.75/30.58 | | | | | | | | | | | | | |
% 193.75/30.58 | | | | | | | | | | | | | | SIMP: (2211) implies:
% 193.75/30.58 | | | | | | | | | | | | | | (2212) all_42_1 = all_30_1
% 193.75/30.58 | | | | | | | | | | | | | |
% 193.75/30.58 | | | | | | | | | | | | | | COMBINE_EQS: (260), (2209) imply:
% 193.75/30.58 | | | | | | | | | | | | | | (2213) all_54_7 = all_30_1
% 193.75/30.58 | | | | | | | | | | | | | |
% 193.75/30.58 | | | | | | | | | | | | | | REDUCE: (117), (2209) imply:
% 193.75/30.58 | | | | | | | | | | | | | | (2214) ~ (all_52_9 = all_30_1)
% 193.75/30.58 | | | | | | | | | | | | | |
% 193.75/30.58 | | | | | | | | | | | | | | REDUCE: (113), (2209) imply:
% 193.75/30.58 | | | | | | | | | | | | | | (2215) ~ (all_52_12 = all_30_1)
% 193.75/30.58 | | | | | | | | | | | | | |
% 193.75/30.58 | | | | | | | | | | | | | | REDUCE: (110), (2209) imply:
% 193.75/30.58 | | | | | | | | | | | | | | (2216) ~ (all_52_14 = all_30_1)
% 193.75/30.58 | | | | | | | | | | | | | |
% 193.75/30.58 | | | | | | | | | | | | | | SIMP: (2216) implies:
% 193.75/30.58 | | | | | | | | | | | | | | (2217) ~ (all_52_14 = all_30_1)
% 193.75/30.58 | | | | | | | | | | | | | |
% 193.75/30.58 | | | | | | | | | | | | | | REDUCE: (2200), (2209) imply:
% 193.75/30.58 | | | | | | | | | | | | | | (2218) ~ (all_30_1 = e2)
% 193.75/30.58 | | | | | | | | | | | | | |
% 193.75/30.58 | | | | | | | | | | | | | | BETA: splitting (79) gives:
% 193.75/30.58 | | | | | | | | | | | | | |
% 193.75/30.58 | | | | | | | | | | | | | | Case 1:
% 193.75/30.58 | | | | | | | | | | | | | | |
% 193.75/30.58 | | | | | | | | | | | | | | | (2219) ~ (all_32_2 = e3)
% 193.75/30.58 | | | | | | | | | | | | | | |
% 193.75/30.58 | | | | | | | | | | | | | | | REDUCE: (301), (2219) imply:
% 193.75/30.58 | | | | | | | | | | | | | | | (2220) ~ (all_4_2 = e3)
% 193.75/30.58 | | | | | | | | | | | | | | |
% 193.75/30.58 | | | | | | | | | | | | | | | BETA: splitting (194) gives:
% 193.75/30.58 | | | | | | | | | | | | | | |
% 193.75/30.58 | | | | | | | | | | | | | | | Case 1:
% 193.75/30.58 | | | | | | | | | | | | | | | |
% 193.75/30.58 | | | | | | | | | | | | | | | | (2221) all_54_10 = e3
% 193.75/30.58 | | | | | | | | | | | | | | | |
% 193.75/30.58 | | | | | | | | | | | | | | | | REF_CLOSE: (335), (2220), (2221) are inconsistent by
% 193.75/30.58 | | | | | | | | | | | | | | | | sub-proof #1974.
% 193.75/30.58 | | | | | | | | | | | | | | | |
% 193.75/30.58 | | | | | | | | | | | | | | | Case 2:
% 193.75/30.58 | | | | | | | | | | | | | | | |
% 193.75/30.58 | | | | | | | | | | | | | | | | (2222) ~ (all_54_10 = e3)
% 193.75/30.58 | | | | | | | | | | | | | | | | (2223) all_54_10 = e2 | all_54_10 = e1 | all_54_10 = e0
% 194.10/30.58 | | | | | | | | | | | | | | | |
% 194.10/30.58 | | | | | | | | | | | | | | | | BETA: splitting (2223) gives:
% 194.10/30.58 | | | | | | | | | | | | | | | |
% 194.10/30.58 | | | | | | | | | | | | | | | | Case 1:
% 194.10/30.58 | | | | | | | | | | | | | | | | |
% 194.10/30.58 | | | | | | | | | | | | | | | | | (2224) all_54_10 = e2
% 194.10/30.58 | | | | | | | | | | | | | | | | |
% 194.10/30.58 | | | | | | | | | | | | | | | | | REF_CLOSE: (335), (375), (2224) are inconsistent by sub-proof
% 194.10/30.58 | | | | | | | | | | | | | | | | | #1973.
% 194.10/30.58 | | | | | | | | | | | | | | | | |
% 194.10/30.58 | | | | | | | | | | | | | | | | Case 2:
% 194.10/30.58 | | | | | | | | | | | | | | | | |
% 194.10/30.58 | | | | | | | | | | | | | | | | | (2225) ~ (all_54_10 = e2)
% 194.10/30.58 | | | | | | | | | | | | | | | | | (2226) all_54_10 = e1 | all_54_10 = e0
% 194.10/30.58 | | | | | | | | | | | | | | | | |
% 194.10/30.58 | | | | | | | | | | | | | | | | | BETA: splitting (2226) gives:
% 194.10/30.58 | | | | | | | | | | | | | | | | |
% 194.10/30.58 | | | | | | | | | | | | | | | | | Case 1:
% 194.10/30.58 | | | | | | | | | | | | | | | | | |
% 194.10/30.58 | | | | | | | | | | | | | | | | | | (2227) all_54_10 = e1
% 194.10/30.58 | | | | | | | | | | | | | | | | | |
% 194.10/30.58 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (335), (2227) imply:
% 194.10/30.58 | | | | | | | | | | | | | | | | | | (2228) all_4_2 = e1
% 194.10/30.58 | | | | | | | | | | | | | | | | | |
% 194.10/30.58 | | | | | | | | | | | | | | | | | | SIMP: (2228) implies:
% 194.10/30.58 | | | | | | | | | | | | | | | | | | (2229) all_4_2 = e1
% 194.10/30.58 | | | | | | | | | | | | | | | | | |
% 194.10/30.58 | | | | | | | | | | | | | | | | | | REDUCE: (349), (2229) imply:
% 194.10/30.58 | | | | | | | | | | | | | | | | | | (2230) ~ (all_52_2 = e1)
% 194.10/30.58 | | | | | | | | | | | | | | | | | |
% 194.10/30.58 | | | | | | | | | | | | | | | | | | REDUCE: (360), (2229) imply:
% 194.10/30.58 | | | | | | | | | | | | | | | | | | (2231) ~ (all_52_6 = e1)
% 194.10/30.58 | | | | | | | | | | | | | | | | | |
% 194.10/30.58 | | | | | | | | | | | | | | | | | | REDUCE: (363), (2229) imply:
% 194.10/30.58 | | | | | | | | | | | | | | | | | | (2232) ~ (all_52_9 = e1)
% 194.10/30.58 | | | | | | | | | | | | | | | | | |
% 194.10/30.58 | | | | | | | | | | | | | | | | | | REDUCE: (367), (2229) imply:
% 194.10/30.58 | | | | | | | | | | | | | | | | | | (2233) ~ (all_52_14 = e1)
% 194.10/30.58 | | | | | | | | | | | | | | | | | |
% 194.10/30.58 | | | | | | | | | | | | | | | | | | REDUCE: (2220), (2229) imply:
% 194.10/30.58 | | | | | | | | | | | | | | | | | | (2234) ~ (e3 = e1)
% 194.10/30.58 | | | | | | | | | | | | | | | | | |
% 194.10/30.58 | | | | | | | | | | | | | | | | | | REDUCE: (375), (2229) imply:
% 194.10/30.58 | | | | | | | | | | | | | | | | | | (2235) ~ (e2 = e1)
% 194.10/30.58 | | | | | | | | | | | | | | | | | |
% 194.10/30.58 | | | | | | | | | | | | | | | | | | REDUCE: (36), (2229) imply:
% 194.10/30.58 | | | | | | | | | | | | | | | | | | (2236) op(e1, e1) = e1
% 194.10/30.58 | | | | | | | | | | | | | | | | | |
% 194.10/30.58 | | | | | | | | | | | | | | | | | | BETA: splitting (82) gives:
% 194.10/30.58 | | | | | | | | | | | | | | | | | |
% 194.10/30.58 | | | | | | | | | | | | | | | | | | Case 1:
% 194.10/30.58 | | | | | | | | | | | | | | | | | | |
% 194.10/30.58 | | | | | | | | | | | | | | | | | | | (2237) ~ (all_34_2 = e0)
% 194.10/30.58 | | | | | | | | | | | | | | | | | | |
% 194.10/30.58 | | | | | | | | | | | | | | | | | | | REDUCE: (313), (2237) imply:
% 194.10/30.58 | | | | | | | | | | | | | | | | | | | (2238) ~ (all_14_2 = e0)
% 194.10/30.58 | | | | | | | | | | | | | | | | | | |
% 194.10/30.58 | | | | | | | | | | | | | | | | | | | BETA: splitting (204) gives:
% 194.10/30.58 | | | | | | | | | | | | | | | | | | |
% 194.10/30.58 | | | | | | | | | | | | | | | | | | | Case 1:
% 194.10/30.58 | | | | | | | | | | | | | | | | | | | |
% 194.10/30.58 | | | | | | | | | | | | | | | | | | | | (2239) all_54_0 = e3
% 194.10/30.58 | | | | | | | | | | | | | | | | | | | |
% 194.10/30.58 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (279), (2239) imply:
% 194.10/30.58 | | | | | | | | | | | | | | | | | | | | (2240) all_14_2 = e3
% 194.10/30.58 | | | | | | | | | | | | | | | | | | | |
% 194.10/30.58 | | | | | | | | | | | | | | | | | | | | REDUCE: (339), (2240) imply:
% 194.10/30.58 | | | | | | | | | | | | | | | | | | | | (2241) ~ (all_52_2 = e3)
% 194.10/30.58 | | | | | | | | | | | | | | | | | | | |
% 194.10/30.58 | | | | | | | | | | | | | | | | | | | | REDUCE: (343), (2240) imply:
% 194.10/30.58 | | | | | | | | | | | | | | | | | | | | (2242) ~ (all_52_4 = e3)
% 194.10/30.58 | | | | | | | | | | | | | | | | | | | |
% 194.10/30.58 | | | | | | | | | | | | | | | | | | | | REDUCE: (345), (2240) imply:
% 194.10/30.58 | | | | | | | | | | | | | | | | | | | | (2243) ~ (all_52_8 = e3)
% 194.10/30.58 | | | | | | | | | | | | | | | | | | | |
% 194.10/30.58 | | | | | | | | | | | | | | | | | | | | REDUCE: (347), (2240) imply:
% 194.10/30.58 | | | | | | | | | | | | | | | | | | | | (2244) ~ (all_52_12 = e3)
% 194.10/30.58 | | | | | | | | | | | | | | | | | | | |
% 194.10/30.58 | | | | | | | | | | | | | | | | | | | | REDUCE: (51), (2240) imply:
% 194.10/30.58 | | | | | | | | | | | | | | | | | | | | (2245) op(e3, e3) = e3
% 194.10/30.58 | | | | | | | | | | | | | | | | | | | |
% 194.10/30.58 | | | | | | | | | | | | | | | | | | | | BETA: splitting (238) gives:
% 194.10/30.58 | | | | | | | | | | | | | | | | | | | |
% 194.10/30.58 | | | | | | | | | | | | | | | | | | | | Case 1:
% 194.10/30.58 | | | | | | | | | | | | | | | | | | | | |
% 194.10/30.58 | | | | | | | | | | | | | | | | | | | | | (2246) (all_57_3 = e3 & ~ (all_57_1 = e2) & ~ (all_57_8
% 194.10/30.58 | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_10 = e2) & ~ (all_57_12 =
% 194.10/30.58 | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_14 = e0) & op(e3, e3) =
% 194.10/30.58 | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e2) = e3 & op(e2, all_57_9) =
% 194.10/30.58 | | | | | | | | | | | | | | | | | | | | | all_57_8 & op(e2, all_57_11) = all_57_10 &
% 194.10/30.58 | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_13) = all_57_12 & op(e2,
% 194.10/30.58 | | | | | | | | | | | | | | | | | | | | | all_57_15) = all_57_14 & op(e2, e3) = all_57_9
% 194.10/30.58 | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = all_57_11 & op(e2, e1) =
% 194.10/30.58 | | | | | | | | | | | | | | | | | | | | | all_57_13 & op(e2, e0) = all_57_15 &
% 194.10/30.58 | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_8) & $i(all_57_9) &
% 194.10/30.58 | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & $i(all_57_11) & $i(all_57_12) &
% 194.10/30.58 | | | | | | | | | | | | | | | | | | | | | $i(all_57_13) & $i(all_57_14) & $i(all_57_15)) |
% 194.10/30.58 | | | | | | | | | | | | | | | | | | | | | (all_57_5 = e3 & ~ (all_57_1 = e1) & ~
% 194.10/30.58 | | | | | | | | | | | | | | | | | | | | | (all_57_16 = e3) & ~ (all_57_18 = e2) & ~
% 194.10/30.58 | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_22 = e0) & op(e3,
% 194.10/30.58 | | | | | | | | | | | | | | | | | | | | | e3) = all_57_1 & op(e3, e1) = e3 & op(e1,
% 194.10/30.58 | | | | | | | | | | | | | | | | | | | | | all_57_17) = all_57_16 & op(e1, all_57_19) =
% 194.10/30.58 | | | | | | | | | | | | | | | | | | | | | all_57_18 & op(e1, all_57_21) = all_57_20 &
% 194.10/30.58 | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_23) = all_57_22 & op(e1, e3) =
% 194.10/30.58 | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e1, e2) = all_57_19 & op(e1, e1)
% 194.10/30.58 | | | | | | | | | | | | | | | | | | | | | = all_57_21 & op(e1, e0) = all_57_23 &
% 194.10/30.58 | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_16) & $i(all_57_17) &
% 194.10/30.58 | | | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_19) & $i(all_57_20) &
% 194.10/30.58 | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_22) & $i(all_57_23)) |
% 194.10/30.58 | | | | | | | | | | | | | | | | | | | | | (all_57_7 = e3 & ~ (all_57_1 = e0) & ~
% 194.10/30.58 | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 194.10/30.58 | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) & op(e3,
% 194.10/30.58 | | | | | | | | | | | | | | | | | | | | | e3) = all_57_1 & op(e3, e0) = e3 & op(e0,
% 194.10/30.58 | | | | | | | | | | | | | | | | | | | | | all_57_25) = all_57_24 & op(e0, all_57_27) =
% 194.10/30.58 | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e0, all_57_29) = all_57_28 &
% 194.10/30.58 | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_31) = all_57_30 & op(e0, e3) =
% 194.10/30.58 | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_27 & op(e0, e1)
% 194.10/30.58 | | | | | | | | | | | | | | | | | | | | | = all_57_29 & op(e0, e0) = all_57_31 &
% 194.10/30.58 | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_24) & $i(all_57_25) &
% 194.10/30.58 | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_27) & $i(all_57_28) &
% 194.10/30.58 | | | | | | | | | | | | | | | | | | | | | $i(all_57_29) & $i(all_57_30) & $i(all_57_31)) |
% 194.10/30.58 | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e2 & ~ (all_57_0 = e3) & ~ (all_57_2
% 194.10/30.58 | | | | | | | | | | | | | | | | | | | | | = e2) & ~ (all_57_4 = e1) & ~ (all_57_6 =
% 194.10/30.58 | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_11 = e3) & op(e3, all_57_1) =
% 194.10/30.58 | | | | | | | | | | | | | | | | | | | | | all_57_0 & op(e3, all_57_3) = all_57_2 & op(e3,
% 194.10/30.58 | | | | | | | | | | | | | | | | | | | | | all_57_5) = all_57_4 & op(e3, all_57_7) =
% 194.10/30.58 | | | | | | | | | | | | | | | | | | | | | all_57_6 & op(e3, e3) = all_57_1 & op(e3, e2) =
% 194.10/30.58 | | | | | | | | | | | | | | | | | | | | | all_57_3 & op(e3, e1) = all_57_5 & op(e3, e0) =
% 194.10/30.58 | | | | | | | | | | | | | | | | | | | | | all_57_7 & op(e2, e3) = e2 & op(e2, e2) =
% 194.10/30.58 | | | | | | | | | | | | | | | | | | | | | all_57_11 & $i(all_57_0) & $i(all_57_1) &
% 194.10/30.58 | | | | | | | | | | | | | | | | | | | | | $i(all_57_2) & $i(all_57_3) & $i(all_57_4) &
% 194.10/30.58 | | | | | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 194.10/30.58 | | | | | | | | | | | | | | | | | | | | | $i(all_57_11))
% 194.10/30.58 | | | | | | | | | | | | | | | | | | | | |
% 194.10/30.58 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2246) gives:
% 194.10/30.58 | | | | | | | | | | | | | | | | | | | | |
% 194.10/30.58 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 194.10/30.58 | | | | | | | | | | | | | | | | | | | | | |
% 194.10/30.58 | | | | | | | | | | | | | | | | | | | | | | (2247) (all_57_3 = e3 & ~ (all_57_1 = e2) & ~ (all_57_8
% 194.10/30.58 | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_10 = e2) & ~ (all_57_12 =
% 194.10/30.58 | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_14 = e0) & op(e3, e3) =
% 194.10/30.58 | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e2) = e3 & op(e2, all_57_9) =
% 194.10/30.58 | | | | | | | | | | | | | | | | | | | | | | all_57_8 & op(e2, all_57_11) = all_57_10 &
% 194.10/30.58 | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_13) = all_57_12 & op(e2,
% 194.10/30.58 | | | | | | | | | | | | | | | | | | | | | | all_57_15) = all_57_14 & op(e2, e3) = all_57_9
% 194.10/30.58 | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = all_57_11 & op(e2, e1) =
% 194.10/30.58 | | | | | | | | | | | | | | | | | | | | | | all_57_13 & op(e2, e0) = all_57_15 &
% 194.10/30.58 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_8) & $i(all_57_9) &
% 194.10/30.58 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & $i(all_57_11) & $i(all_57_12) &
% 194.10/30.58 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13) & $i(all_57_14) & $i(all_57_15)) |
% 194.10/30.58 | | | | | | | | | | | | | | | | | | | | | | (all_57_5 = e3 & ~ (all_57_1 = e1) & ~
% 194.10/30.58 | | | | | | | | | | | | | | | | | | | | | | (all_57_16 = e3) & ~ (all_57_18 = e2) & ~
% 194.10/30.58 | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_22 = e0) & op(e3,
% 194.10/30.58 | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_1 & op(e3, e1) = e3 & op(e1,
% 194.10/30.58 | | | | | | | | | | | | | | | | | | | | | | all_57_17) = all_57_16 & op(e1, all_57_19) =
% 194.10/30.58 | | | | | | | | | | | | | | | | | | | | | | all_57_18 & op(e1, all_57_21) = all_57_20 &
% 194.10/30.58 | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_23) = all_57_22 & op(e1, e3) =
% 194.10/30.58 | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e1, e2) = all_57_19 & op(e1, e1)
% 194.10/30.58 | | | | | | | | | | | | | | | | | | | | | | = all_57_21 & op(e1, e0) = all_57_23 &
% 194.10/30.58 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_16) & $i(all_57_17) &
% 194.10/30.58 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_19) & $i(all_57_20) &
% 194.10/30.58 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_22) & $i(all_57_23))
% 194.10/30.58 | | | | | | | | | | | | | | | | | | | | | |
% 194.10/30.58 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (170), (2236), (2242), (2247), (function-axioms)
% 194.10/30.58 | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1484.
% 194.10/30.58 | | | | | | | | | | | | | | | | | | | | | |
% 194.10/30.58 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 194.10/30.58 | | | | | | | | | | | | | | | | | | | | | |
% 194.12/30.59 | | | | | | | | | | | | | | | | | | | | | | (2248) (all_57_7 = e3 & ~ (all_57_1 = e0) & ~
% 194.12/30.59 | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 194.12/30.59 | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) & op(e3,
% 194.12/30.59 | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_1 & op(e3, e0) = e3 & op(e0,
% 194.12/30.59 | | | | | | | | | | | | | | | | | | | | | | all_57_25) = all_57_24 & op(e0, all_57_27) =
% 194.12/30.59 | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e0, all_57_29) = all_57_28 &
% 194.12/30.59 | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_31) = all_57_30 & op(e0, e3) =
% 194.12/30.59 | | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_27 & op(e0, e1)
% 194.12/30.59 | | | | | | | | | | | | | | | | | | | | | | = all_57_29 & op(e0, e0) = all_57_31 &
% 194.12/30.59 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_24) & $i(all_57_25) &
% 194.12/30.59 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_27) & $i(all_57_28) &
% 194.12/30.59 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29) & $i(all_57_30) & $i(all_57_31)) |
% 194.12/30.59 | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e2 & ~ (all_57_0 = e3) & ~ (all_57_2
% 194.12/30.59 | | | | | | | | | | | | | | | | | | | | | | = e2) & ~ (all_57_4 = e1) & ~ (all_57_6 =
% 194.12/30.59 | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_11 = e3) & op(e3, all_57_1) =
% 194.12/30.59 | | | | | | | | | | | | | | | | | | | | | | all_57_0 & op(e3, all_57_3) = all_57_2 & op(e3,
% 194.12/30.59 | | | | | | | | | | | | | | | | | | | | | | all_57_5) = all_57_4 & op(e3, all_57_7) =
% 194.12/30.59 | | | | | | | | | | | | | | | | | | | | | | all_57_6 & op(e3, e3) = all_57_1 & op(e3, e2) =
% 194.12/30.59 | | | | | | | | | | | | | | | | | | | | | | all_57_3 & op(e3, e1) = all_57_5 & op(e3, e0) =
% 194.12/30.59 | | | | | | | | | | | | | | | | | | | | | | all_57_7 & op(e2, e3) = e2 & op(e2, e2) =
% 194.12/30.59 | | | | | | | | | | | | | | | | | | | | | | all_57_11 & $i(all_57_0) & $i(all_57_1) &
% 194.12/30.59 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_2) & $i(all_57_3) & $i(all_57_4) &
% 194.12/30.59 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 194.12/30.59 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11))
% 194.12/30.59 | | | | | | | | | | | | | | | | | | | | | |
% 194.12/30.59 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2248) gives:
% 194.12/30.59 | | | | | | | | | | | | | | | | | | | | | |
% 194.12/30.59 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 194.12/30.59 | | | | | | | | | | | | | | | | | | | | | | |
% 194.12/30.59 | | | | | | | | | | | | | | | | | | | | | | | (2249) all_57_7 = e3 & ~ (all_57_1 = e0) & ~ (all_57_24
% 194.12/30.59 | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_26 = e2) & ~ (all_57_28 =
% 194.12/30.59 | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_30 = e0) & op(e3, e3) =
% 194.12/30.59 | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e0) = e3 & op(e0, all_57_25) =
% 194.12/30.59 | | | | | | | | | | | | | | | | | | | | | | | all_57_24 & op(e0, all_57_27) = all_57_26 & op(e0,
% 194.12/30.59 | | | | | | | | | | | | | | | | | | | | | | | all_57_29) = all_57_28 & op(e0, all_57_31) =
% 194.12/30.59 | | | | | | | | | | | | | | | | | | | | | | | all_57_30 & op(e0, e3) = all_57_25 & op(e0, e2) =
% 194.12/30.59 | | | | | | | | | | | | | | | | | | | | | | | all_57_27 & op(e0, e1) = all_57_29 & op(e0, e0) =
% 194.12/30.59 | | | | | | | | | | | | | | | | | | | | | | | all_57_31 & $i(all_57_1) & $i(all_57_24) &
% 194.12/30.59 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_25) & $i(all_57_26) & $i(all_57_27) &
% 194.12/30.59 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28) & $i(all_57_29) & $i(all_57_30) &
% 194.12/30.59 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_31)
% 194.12/30.59 | | | | | | | | | | | | | | | | | | | | | | |
% 194.12/30.59 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2249) implies:
% 194.12/30.59 | | | | | | | | | | | | | | | | | | | | | | | (2250) op(e3, e0) = e3
% 194.12/30.59 | | | | | | | | | | | | | | | | | | | | | | |
% 194.12/30.59 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (168), (2244), (2250), (function-axioms) are
% 194.12/30.59 | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1928.
% 194.12/30.59 | | | | | | | | | | | | | | | | | | | | | | |
% 194.12/30.59 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 194.12/30.59 | | | | | | | | | | | | | | | | | | | | | | |
% 194.12/30.59 | | | | | | | | | | | | | | | | | | | | | | | (2251) all_57_9 = e2 & ~ (all_57_0 = e3) & ~ (all_57_2
% 194.12/30.59 | | | | | | | | | | | | | | | | | | | | | | | = e2) & ~ (all_57_4 = e1) & ~ (all_57_6 = e0)
% 194.12/30.59 | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_11 = e3) & op(e3, all_57_1) =
% 194.12/30.59 | | | | | | | | | | | | | | | | | | | | | | | all_57_0 & op(e3, all_57_3) = all_57_2 & op(e3,
% 194.12/30.59 | | | | | | | | | | | | | | | | | | | | | | | all_57_5) = all_57_4 & op(e3, all_57_7) =
% 194.12/30.59 | | | | | | | | | | | | | | | | | | | | | | | all_57_6 & op(e3, e3) = all_57_1 & op(e3, e2) =
% 194.12/30.59 | | | | | | | | | | | | | | | | | | | | | | | all_57_3 & op(e3, e1) = all_57_5 & op(e3, e0) =
% 194.12/30.59 | | | | | | | | | | | | | | | | | | | | | | | all_57_7 & op(e2, e3) = e2 & op(e2, e2) =
% 194.12/30.59 | | | | | | | | | | | | | | | | | | | | | | | all_57_11 & $i(all_57_0) & $i(all_57_1) &
% 194.12/30.59 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_2) & $i(all_57_3) & $i(all_57_4) &
% 194.12/30.59 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 194.12/30.59 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11)
% 194.12/30.59 | | | | | | | | | | | | | | | | | | | | | | |
% 194.12/30.59 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2251) implies:
% 194.12/30.59 | | | | | | | | | | | | | | | | | | | | | | | (2252) ~ (all_57_0 = e3)
% 194.12/30.59 | | | | | | | | | | | | | | | | | | | | | | | (2253) op(e2, e3) = e2
% 194.12/30.59 | | | | | | | | | | | | | | | | | | | | | | | (2254) op(e3, e3) = all_57_1
% 194.12/30.59 | | | | | | | | | | | | | | | | | | | | | | | (2255) op(e3, all_57_1) = all_57_0
% 194.12/30.59 | | | | | | | | | | | | | | | | | | | | | | |
% 194.12/30.59 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (235) gives:
% 194.12/30.59 | | | | | | | | | | | | | | | | | | | | | | |
% 194.12/30.59 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 194.12/30.59 | | | | | | | | | | | | | | | | | | | | | | | |
% 194.12/30.59 | | | | | | | | | | | | | | | | | | | | | | | | (2256) (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_2 = e3
% 194.12/30.59 | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e3)
% 194.12/30.59 | | | | | | | | | | | | | | | | | | | | | | | |
% 194.12/30.59 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2256) gives:
% 194.12/30.59 | | | | | | | | | | | | | | | | | | | | | | | |
% 194.12/30.59 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 194.12/30.59 | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.12/30.59 | | | | | | | | | | | | | | | | | | | | | | | | | (2257) all_56_0 = e3 & op(e3, e3) = e3
% 194.12/30.59 | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.12/30.59 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e3, all_57_1,
% 194.12/30.59 | | | | | | | | | | | | | | | | | | | | | | | | | e3, e3, simplifying with (2245), (2254) gives:
% 194.12/30.59 | | | | | | | | | | | | | | | | | | | | | | | | | (2258) all_57_1 = e3
% 194.12/30.59 | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.12/30.59 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2252), (2254), (2255), (2258), (function-axioms)
% 194.12/30.59 | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1920.
% 194.12/30.59 | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.12/30.59 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 194.12/30.59 | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.12/30.59 | | | | | | | | | | | | | | | | | | | | | | | | | (2259) all_56_2 = e3 & op(e2, e3) = e3
% 194.12/30.59 | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.12/30.59 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2259) implies:
% 194.12/30.59 | | | | | | | | | | | | | | | | | | | | | | | | | (2260) op(e2, e3) = e3
% 194.12/30.59 | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.12/30.59 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (2253), (2260), (function-axioms) are
% 194.12/30.59 | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1605.
% 194.12/30.59 | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.12/30.59 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 194.12/30.59 | | | | | | | | | | | | | | | | | | | | | | | |
% 194.12/30.59 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 194.12/30.59 | | | | | | | | | | | | | | | | | | | | | | | |
% 194.12/30.59 | | | | | | | | | | | | | | | | | | | | | | | | (2261) (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_12 =
% 194.12/30.59 | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e3) = e3)
% 194.12/30.59 | | | | | | | | | | | | | | | | | | | | | | | |
% 194.12/30.59 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2261) gives:
% 194.12/30.59 | | | | | | | | | | | | | | | | | | | | | | | |
% 194.12/30.59 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 194.12/30.59 | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.12/30.59 | | | | | | | | | | | | | | | | | | | | | | | | | (2262) all_56_6 = e3 & op(e1, e3) = e3
% 194.12/30.59 | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.12/30.59 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (163), (2241), (2262), (function-axioms) are
% 194.12/30.59 | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1396.
% 194.12/30.59 | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.12/30.59 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 194.12/30.59 | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.12/30.59 | | | | | | | | | | | | | | | | | | | | | | | | | (2263) all_56_12 = e3 & op(e0, e3) = e3
% 194.12/30.59 | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.12/30.59 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2263) implies:
% 194.12/30.59 | | | | | | | | | | | | | | | | | | | | | | | | | (2264) all_56_12 = e3
% 194.12/30.59 | | | | | | | | | | | | | | | | | | | | | | | | | (2265) op(e0, e3) = e3
% 194.12/30.59 | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.12/30.59 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (229) gives:
% 194.12/30.59 | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.12/30.59 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 194.12/30.59 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.12/30.59 | | | | | | | | | | | | | | | | | | | | | | | | | | (2266) (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0
% 194.12/30.59 | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e0)
% 194.12/30.59 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.12/30.59 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2266) gives:
% 194.12/30.59 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.12/30.59 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 194.12/30.59 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.12/30.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2267) all_56_0 = e0 & op(e3, e3) = e0
% 194.12/30.59 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.12/30.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2267) implies:
% 194.12/30.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2268) op(e3, e3) = e0
% 194.12/30.59 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.12/30.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (2245), (2254), (2268), (function-axioms) are
% 194.12/30.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1392.
% 194.12/30.59 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.12/30.59 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 194.12/30.59 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.12/30.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2269) all_56_2 = e0 & op(e2, e3) = e0
% 194.12/30.59 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.12/30.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2269) implies:
% 194.12/30.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2270) all_56_2 = e0
% 194.12/30.59 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.12/30.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (158), (162), (222),
% 194.12/30.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | (223), (224), (225), (226), (227), (228), (1545),
% 194.12/30.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1546), (1551), (2270), (function-axioms) are
% 194.12/30.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1485.
% 194.12/30.59 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.12/30.59 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 194.12/30.59 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.12/30.59 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 194.12/30.59 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.12/30.59 | | | | | | | | | | | | | | | | | | | | | | | | | | (2271) (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 =
% 194.12/30.59 | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e3) = e0)
% 194.12/30.59 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.12/30.59 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2271) gives:
% 194.12/30.59 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.12/30.59 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 194.12/30.59 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.12/30.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2272) all_56_6 = e0 & op(e1, e3) = e0
% 194.12/30.59 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.12/30.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2272) implies:
% 194.12/30.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2273) all_56_6 = e0
% 194.12/30.59 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.12/30.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (231) gives:
% 194.12/30.59 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.12/30.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 194.12/30.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.12/30.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2274) (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_2 = e1
% 194.12/30.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e1)
% 194.12/30.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.12/30.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2274) gives:
% 194.12/30.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.12/30.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 194.12/30.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.12/30.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2275) all_56_0 = e1 & op(e3, e3) = e1
% 194.12/30.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.12/30.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2275) implies:
% 194.12/30.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2276) op(e3, e3) = e1
% 194.12/30.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.12/30.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (2245), (2276), (function-axioms) are
% 194.12/30.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1924.
% 194.12/30.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.12/30.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 194.12/30.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.12/30.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2277) all_56_2 = e1 & op(e2, e3) = e1
% 194.12/30.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.12/30.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2277) implies:
% 194.12/30.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2278) all_56_2 = e1
% 194.12/30.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.12/30.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (233) gives:
% 194.12/30.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.12/30.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 194.12/30.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.12/30.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2279) (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2
% 194.12/30.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e2)
% 194.12/30.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.12/30.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2279) gives:
% 194.12/30.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.12/30.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 194.12/30.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.12/30.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2280) all_56_0 = e2 & op(e3, e3) = e2
% 194.12/30.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.12/30.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2280) implies:
% 194.12/30.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2281) all_56_0 = e2
% 194.12/30.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.12/30.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (168), (169), (170), (236), (2242), (2243),
% 194.12/30.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2244), (2281), (function-axioms) are inconsistent
% 194.12/30.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1459.
% 194.12/30.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.12/30.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 194.12/30.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.12/30.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2282) all_56_2 = e2 & op(e2, e3) = e2
% 194.12/30.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.12/30.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (2278), (2282) are inconsistent by sub-proof
% 194.12/30.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1747.
% 194.12/30.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.12/30.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 194.12/30.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.12/30.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 194.12/30.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.12/30.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2283) (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_12 =
% 194.12/30.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e3) = e2)
% 194.12/30.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.12/30.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2283) gives:
% 194.12/30.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.12/30.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 194.12/30.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.12/30.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2284) all_56_6 = e2 & op(e1, e3) = e2
% 194.12/30.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.12/30.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2284) implies:
% 194.12/30.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2285) all_56_6 = e2
% 194.12/30.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.12/30.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (2273), (2285) are inconsistent by sub-proof
% 194.12/30.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1857.
% 194.12/30.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.12/30.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 194.12/30.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.12/30.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2286) all_56_12 = e2 & op(e0, e3) = e2
% 194.12/30.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.12/30.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (159), (2197), (2286), (function-axioms) are
% 194.12/30.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1847.
% 194.12/30.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.12/30.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 194.12/30.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.12/30.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 194.12/30.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.12/30.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 194.12/30.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.12/30.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 194.12/30.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.12/30.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2287) (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_12 =
% 194.12/30.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e3) = e1)
% 194.12/30.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.12/30.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (163), (2230), (2264), (2287),
% 194.12/30.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 194.12/30.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1375.
% 194.12/30.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.12/30.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 194.12/30.59 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.12/30.59 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 194.12/30.59 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.12/30.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2288) all_56_12 = e0 & op(e0, e3) = e0
% 194.12/30.59 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.12/30.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2288) implies:
% 194.12/30.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2289) op(e0, e3) = e0
% 194.12/30.59 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.12/30.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (2265), (2289), (function-axioms) are
% 194.12/30.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1877.
% 194.12/30.59 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.12/30.59 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 194.12/30.59 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.12/30.59 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 194.12/30.59 | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.12/30.59 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 194.12/30.59 | | | | | | | | | | | | | | | | | | | | | | | |
% 194.12/30.59 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 194.12/30.59 | | | | | | | | | | | | | | | | | | | | | | |
% 194.12/30.59 | | | | | | | | | | | | | | | | | | | | | | End of split
% 194.12/30.59 | | | | | | | | | | | | | | | | | | | | | |
% 194.12/30.59 | | | | | | | | | | | | | | | | | | | | | End of split
% 194.12/30.59 | | | | | | | | | | | | | | | | | | | | |
% 194.12/30.59 | | | | | | | | | | | | | | | | | | | | Case 2:
% 194.12/30.59 | | | | | | | | | | | | | | | | | | | | |
% 194.12/30.59 | | | | | | | | | | | | | | | | | | | | | (2290) (all_57_13 = e2 & ~ (all_57_11 = e1) & ~
% 194.12/30.59 | | | | | | | | | | | | | | | | | | | | | (all_57_16 = e3) & ~ (all_57_18 = e2) & ~
% 194.12/30.59 | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_22 = e0) & op(e2,
% 194.12/30.59 | | | | | | | | | | | | | | | | | | | | | e2) = all_57_11 & op(e2, e1) = e2 & op(e1,
% 194.12/30.59 | | | | | | | | | | | | | | | | | | | | | all_57_17) = all_57_16 & op(e1, all_57_19) =
% 194.12/30.59 | | | | | | | | | | | | | | | | | | | | | all_57_18 & op(e1, all_57_21) = all_57_20 &
% 194.12/30.59 | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_23) = all_57_22 & op(e1, e3) =
% 194.12/30.59 | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e1, e2) = all_57_19 & op(e1, e1)
% 194.12/30.59 | | | | | | | | | | | | | | | | | | | | | = all_57_21 & op(e1, e0) = all_57_23 &
% 194.12/30.59 | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_16) & $i(all_57_17) &
% 194.12/30.59 | | | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_19) & $i(all_57_20) &
% 194.12/30.59 | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_22) & $i(all_57_23)) |
% 194.12/30.59 | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e2 & ~ (all_57_11 = e0) & ~
% 194.12/30.59 | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 194.12/30.59 | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) & op(e2,
% 194.12/30.59 | | | | | | | | | | | | | | | | | | | | | e2) = all_57_11 & op(e2, e0) = e2 & op(e0,
% 194.12/30.59 | | | | | | | | | | | | | | | | | | | | | all_57_25) = all_57_24 & op(e0, all_57_27) =
% 194.12/30.59 | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e0, all_57_29) = all_57_28 &
% 194.12/30.59 | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_31) = all_57_30 & op(e0, e3) =
% 194.12/30.59 | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_27 & op(e0, e1)
% 194.12/30.59 | | | | | | | | | | | | | | | | | | | | | = all_57_29 & op(e0, e0) = all_57_31 &
% 194.12/30.59 | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_24) & $i(all_57_25) &
% 194.12/30.59 | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_27) & $i(all_57_28) &
% 194.12/30.59 | | | | | | | | | | | | | | | | | | | | | $i(all_57_29) & $i(all_57_30) & $i(all_57_31)) |
% 194.12/30.59 | | | | | | | | | | | | | | | | | | | | | (all_57_17 = e1 & ~ (all_57_0 = e3) & ~
% 194.12/30.59 | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e2) & ~ (all_57_4 = e1) & ~
% 194.12/30.59 | | | | | | | | | | | | | | | | | | | | | (all_57_6 = e0) & ~ (all_57_21 = e3) & op(e3,
% 194.12/30.59 | | | | | | | | | | | | | | | | | | | | | all_57_1) = all_57_0 & op(e3, all_57_3) =
% 194.12/30.59 | | | | | | | | | | | | | | | | | | | | | all_57_2 & op(e3, all_57_5) = all_57_4 & op(e3,
% 194.12/30.59 | | | | | | | | | | | | | | | | | | | | | all_57_7) = all_57_6 & op(e3, e3) = all_57_1 &
% 194.12/30.59 | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_3 & op(e3, e1) = all_57_5 &
% 194.12/30.59 | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_7 & op(e1, e3) = e1 & op(e1,
% 194.12/30.59 | | | | | | | | | | | | | | | | | | | | | e1) = all_57_21 & $i(all_57_0) & $i(all_57_1)
% 194.12/30.59 | | | | | | | | | | | | | | | | | | | | | & $i(all_57_2) & $i(all_57_3) & $i(all_57_4) &
% 194.12/30.59 | | | | | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 194.12/30.59 | | | | | | | | | | | | | | | | | | | | | $i(all_57_21)) | (all_57_19 = e1 & ~ (all_57_8
% 194.12/30.59 | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_10 = e2) & ~ (all_57_12 =
% 194.12/30.59 | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_14 = e0) & ~ (all_57_21 =
% 194.12/30.59 | | | | | | | | | | | | | | | | | | | | | e2) & op(e2, all_57_9) = all_57_8 & op(e2,
% 194.12/30.59 | | | | | | | | | | | | | | | | | | | | | all_57_11) = all_57_10 & op(e2, all_57_13) =
% 194.12/30.59 | | | | | | | | | | | | | | | | | | | | | all_57_12 & op(e2, all_57_15) = all_57_14 &
% 194.12/30.59 | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_9 & op(e2, e2) = all_57_11 &
% 194.12/30.59 | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_57_13 & op(e2, e0) = all_57_15
% 194.12/30.59 | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e1 & op(e1, e1) = all_57_21 &
% 194.12/30.59 | | | | | | | | | | | | | | | | | | | | | $i(all_57_8) & $i(all_57_9) & $i(all_57_10) &
% 194.12/30.59 | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_12) & $i(all_57_13) &
% 194.12/30.59 | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & $i(all_57_15) & $i(all_57_21)) |
% 194.12/30.59 | | | | | | | | | | | | | | | | | | | | | (op(e0, e0) = all_57_31 & $i(all_57_31) &
% 194.12/30.59 | | | | | | | | | | | | | | | | | | | | | ((all_57_23 = e1 & ~ (all_57_21 = e0) & ~
% 194.12/30.59 | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 194.12/30.59 | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) &
% 194.12/30.59 | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_21 & op(e1, e0) = e1 &
% 194.12/30.59 | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_25) = all_57_24 & op(e0,
% 194.12/30.59 | | | | | | | | | | | | | | | | | | | | | all_57_27) = all_57_26 & op(e0, all_57_29)
% 194.12/30.59 | | | | | | | | | | | | | | | | | | | | | = all_57_28 & op(e0, all_57_31) = all_57_30
% 194.12/30.59 | | | | | | | | | | | | | | | | | | | | | & op(e0, e3) = all_57_25 & op(e0, e2) =
% 194.12/30.59 | | | | | | | | | | | | | | | | | | | | | all_57_27 & op(e0, e1) = all_57_29 &
% 194.12/30.59 | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_24) &
% 194.12/30.59 | | | | | | | | | | | | | | | | | | | | | $i(all_57_25) & $i(all_57_26) &
% 194.12/30.59 | | | | | | | | | | | | | | | | | | | | | $i(all_57_27) & $i(all_57_28) &
% 194.12/30.59 | | | | | | | | | | | | | | | | | | | | | $i(all_57_29) & $i(all_57_30)) | (all_57_25
% 194.12/30.59 | | | | | | | | | | | | | | | | | | | | | = e0 & ~ (all_57_0 = e3) & ~ (all_57_2 =
% 194.12/30.59 | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_4 = e1) & ~ (all_57_6 =
% 194.12/30.59 | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_31 = e3) & op(e3,
% 194.12/30.59 | | | | | | | | | | | | | | | | | | | | | all_57_1) = all_57_0 & op(e3, all_57_3) =
% 194.12/30.59 | | | | | | | | | | | | | | | | | | | | | all_57_2 & op(e3, all_57_5) = all_57_4 &
% 194.12/30.59 | | | | | | | | | | | | | | | | | | | | | op(e3, all_57_7) = all_57_6 & op(e3, e3) =
% 194.12/30.59 | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e2) = all_57_3 & op(e3,
% 194.12/30.59 | | | | | | | | | | | | | | | | | | | | | e1) = all_57_5 & op(e3, e0) = all_57_7 &
% 194.12/30.59 | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_0) &
% 194.12/30.59 | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_2) & $i(all_57_3) &
% 194.12/30.59 | | | | | | | | | | | | | | | | | | | | | $i(all_57_4) & $i(all_57_5) & $i(all_57_6) &
% 194.12/30.59 | | | | | | | | | | | | | | | | | | | | | $i(all_57_7)) | (all_57_27 = e0 & ~
% 194.12/30.59 | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e3) & ~ (all_57_10 = e2) & ~
% 194.12/30.59 | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e1) & ~ (all_57_14 = e0) & ~
% 194.12/30.59 | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e2) & op(e2, all_57_9) =
% 194.12/30.59 | | | | | | | | | | | | | | | | | | | | | all_57_8 & op(e2, all_57_11) = all_57_10 &
% 194.12/30.59 | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_13) = all_57_12 & op(e2,
% 194.12/30.59 | | | | | | | | | | | | | | | | | | | | | all_57_15) = all_57_14 & op(e2, e3) =
% 194.12/30.59 | | | | | | | | | | | | | | | | | | | | | all_57_9 & op(e2, e2) = all_57_11 & op(e2,
% 194.12/30.59 | | | | | | | | | | | | | | | | | | | | | e1) = all_57_13 & op(e2, e0) = all_57_15 &
% 194.12/30.59 | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_8) &
% 194.12/30.59 | | | | | | | | | | | | | | | | | | | | | $i(all_57_9) & $i(all_57_10) & $i(all_57_11)
% 194.12/30.59 | | | | | | | | | | | | | | | | | | | | | & $i(all_57_12) & $i(all_57_13) &
% 194.12/30.59 | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & $i(all_57_15)) | (all_57_29
% 194.12/30.59 | | | | | | | | | | | | | | | | | | | | | = e0 & ~ (all_57_16 = e3) & ~ (all_57_18 =
% 194.12/30.59 | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_20 = e1) & ~ (all_57_22
% 194.12/30.59 | | | | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_31 = e1) & op(e1,
% 194.12/30.59 | | | | | | | | | | | | | | | | | | | | | all_57_17) = all_57_16 & op(e1, all_57_19)
% 194.12/30.59 | | | | | | | | | | | | | | | | | | | | | = all_57_18 & op(e1, all_57_21) = all_57_20
% 194.12/30.59 | | | | | | | | | | | | | | | | | | | | | & op(e1, all_57_23) = all_57_22 & op(e1, e3)
% 194.12/30.59 | | | | | | | | | | | | | | | | | | | | | = all_57_17 & op(e1, e2) = all_57_19 &
% 194.12/30.59 | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_21 & op(e1, e0) =
% 194.12/30.59 | | | | | | | | | | | | | | | | | | | | | all_57_23 & op(e0, e1) = e0 & $i(all_57_16)
% 194.12/30.59 | | | | | | | | | | | | | | | | | | | | | & $i(all_57_17) & $i(all_57_18) &
% 194.12/30.59 | | | | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_20) &
% 194.12/30.59 | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_22) &
% 194.12/30.59 | | | | | | | | | | | | | | | | | | | | | $i(all_57_23))))
% 194.12/30.59 | | | | | | | | | | | | | | | | | | | | |
% 194.12/30.59 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2290) gives:
% 194.12/30.59 | | | | | | | | | | | | | | | | | | | | |
% 194.12/30.59 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 194.12/30.59 | | | | | | | | | | | | | | | | | | | | | |
% 194.12/30.59 | | | | | | | | | | | | | | | | | | | | | | (2291) (all_57_13 = e2 & ~ (all_57_11 = e1) & ~
% 194.12/30.59 | | | | | | | | | | | | | | | | | | | | | | (all_57_16 = e3) & ~ (all_57_18 = e2) & ~
% 194.12/30.59 | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_22 = e0) & op(e2,
% 194.12/30.59 | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_11 & op(e2, e1) = e2 & op(e1,
% 194.12/30.59 | | | | | | | | | | | | | | | | | | | | | | all_57_17) = all_57_16 & op(e1, all_57_19) =
% 194.12/30.59 | | | | | | | | | | | | | | | | | | | | | | all_57_18 & op(e1, all_57_21) = all_57_20 &
% 194.12/30.59 | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_23) = all_57_22 & op(e1, e3) =
% 194.12/30.59 | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e1, e2) = all_57_19 & op(e1, e1)
% 194.12/30.59 | | | | | | | | | | | | | | | | | | | | | | = all_57_21 & op(e1, e0) = all_57_23 &
% 194.12/30.59 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_16) & $i(all_57_17) &
% 194.12/30.59 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_19) & $i(all_57_20) &
% 194.12/30.59 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_22) & $i(all_57_23)) |
% 194.12/30.59 | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e2 & ~ (all_57_11 = e0) & ~
% 194.12/30.59 | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 194.12/30.59 | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) & op(e2,
% 194.12/30.59 | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_11 & op(e2, e0) = e2 & op(e0,
% 194.12/30.59 | | | | | | | | | | | | | | | | | | | | | | all_57_25) = all_57_24 & op(e0, all_57_27) =
% 194.12/30.59 | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e0, all_57_29) = all_57_28 &
% 194.12/30.59 | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_31) = all_57_30 & op(e0, e3) =
% 194.12/30.59 | | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_27 & op(e0, e1)
% 194.12/30.59 | | | | | | | | | | | | | | | | | | | | | | = all_57_29 & op(e0, e0) = all_57_31 &
% 194.12/30.59 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_24) & $i(all_57_25) &
% 194.12/30.59 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_27) & $i(all_57_28) &
% 194.12/30.59 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29) & $i(all_57_30) & $i(all_57_31))
% 194.12/30.59 | | | | | | | | | | | | | | | | | | | | | |
% 194.12/30.59 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (1551), (2236), (2291), (function-axioms) are
% 194.12/30.59 | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1481.
% 194.12/30.59 | | | | | | | | | | | | | | | | | | | | | |
% 194.12/30.59 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 194.12/30.59 | | | | | | | | | | | | | | | | | | | | | |
% 194.12/30.59 | | | | | | | | | | | | | | | | | | | | | | (2292) (all_57_17 = e1 & ~ (all_57_0 = e3) & ~
% 194.12/30.59 | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e2) & ~ (all_57_4 = e1) & ~
% 194.12/30.59 | | | | | | | | | | | | | | | | | | | | | | (all_57_6 = e0) & ~ (all_57_21 = e3) & op(e3,
% 194.12/30.59 | | | | | | | | | | | | | | | | | | | | | | all_57_1) = all_57_0 & op(e3, all_57_3) =
% 194.12/30.59 | | | | | | | | | | | | | | | | | | | | | | all_57_2 & op(e3, all_57_5) = all_57_4 & op(e3,
% 194.12/30.59 | | | | | | | | | | | | | | | | | | | | | | all_57_7) = all_57_6 & op(e3, e3) = all_57_1 &
% 194.12/30.59 | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_3 & op(e3, e1) = all_57_5 &
% 194.12/30.59 | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_7 & op(e1, e3) = e1 & op(e1,
% 194.12/30.59 | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_21 & $i(all_57_0) & $i(all_57_1)
% 194.12/30.59 | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_2) & $i(all_57_3) & $i(all_57_4) &
% 194.12/30.59 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 194.12/30.59 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21)) | (all_57_19 = e1 & ~ (all_57_8
% 194.12/30.59 | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_10 = e2) & ~ (all_57_12 =
% 194.12/30.59 | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_14 = e0) & ~ (all_57_21 =
% 194.12/30.59 | | | | | | | | | | | | | | | | | | | | | | e2) & op(e2, all_57_9) = all_57_8 & op(e2,
% 194.12/30.59 | | | | | | | | | | | | | | | | | | | | | | all_57_11) = all_57_10 & op(e2, all_57_13) =
% 194.12/30.59 | | | | | | | | | | | | | | | | | | | | | | all_57_12 & op(e2, all_57_15) = all_57_14 &
% 194.12/30.59 | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_9 & op(e2, e2) = all_57_11 &
% 194.12/30.59 | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_57_13 & op(e2, e0) = all_57_15
% 194.12/30.59 | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e1 & op(e1, e1) = all_57_21 &
% 194.12/30.59 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8) & $i(all_57_9) & $i(all_57_10) &
% 194.12/30.59 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_12) & $i(all_57_13) &
% 194.12/30.59 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & $i(all_57_15) & $i(all_57_21)) |
% 194.12/30.59 | | | | | | | | | | | | | | | | | | | | | | (op(e0, e0) = all_57_31 & $i(all_57_31) &
% 194.12/30.59 | | | | | | | | | | | | | | | | | | | | | | ((all_57_23 = e1 & ~ (all_57_21 = e0) & ~
% 194.12/30.59 | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 194.12/30.59 | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) &
% 194.12/30.59 | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_21 & op(e1, e0) = e1 &
% 194.12/30.59 | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_25) = all_57_24 & op(e0,
% 194.12/30.59 | | | | | | | | | | | | | | | | | | | | | | all_57_27) = all_57_26 & op(e0, all_57_29)
% 194.12/30.59 | | | | | | | | | | | | | | | | | | | | | | = all_57_28 & op(e0, all_57_31) = all_57_30
% 194.12/30.59 | | | | | | | | | | | | | | | | | | | | | | & op(e0, e3) = all_57_25 & op(e0, e2) =
% 194.12/30.59 | | | | | | | | | | | | | | | | | | | | | | all_57_27 & op(e0, e1) = all_57_29 &
% 194.12/30.59 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_24) &
% 194.12/30.59 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_25) & $i(all_57_26) &
% 194.12/30.59 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27) & $i(all_57_28) &
% 194.12/30.59 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29) & $i(all_57_30)) | (all_57_25
% 194.12/30.59 | | | | | | | | | | | | | | | | | | | | | | = e0 & ~ (all_57_0 = e3) & ~ (all_57_2 =
% 194.12/30.59 | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_4 = e1) & ~ (all_57_6 =
% 194.12/30.59 | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_31 = e3) & op(e3,
% 194.12/30.59 | | | | | | | | | | | | | | | | | | | | | | all_57_1) = all_57_0 & op(e3, all_57_3) =
% 194.12/30.59 | | | | | | | | | | | | | | | | | | | | | | all_57_2 & op(e3, all_57_5) = all_57_4 &
% 194.12/30.59 | | | | | | | | | | | | | | | | | | | | | | op(e3, all_57_7) = all_57_6 & op(e3, e3) =
% 194.12/30.59 | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e2) = all_57_3 & op(e3,
% 194.12/30.59 | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_5 & op(e3, e0) = all_57_7 &
% 194.12/30.59 | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_0) &
% 194.12/30.59 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_2) & $i(all_57_3) &
% 194.12/30.59 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4) & $i(all_57_5) & $i(all_57_6) &
% 194.12/30.59 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7)) | (all_57_27 = e0 & ~
% 194.12/30.59 | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e3) & ~ (all_57_10 = e2) & ~
% 194.12/30.59 | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e1) & ~ (all_57_14 = e0) & ~
% 194.12/30.59 | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e2) & op(e2, all_57_9) =
% 194.12/30.59 | | | | | | | | | | | | | | | | | | | | | | all_57_8 & op(e2, all_57_11) = all_57_10 &
% 194.12/30.59 | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_13) = all_57_12 & op(e2,
% 194.12/30.59 | | | | | | | | | | | | | | | | | | | | | | all_57_15) = all_57_14 & op(e2, e3) =
% 194.12/30.59 | | | | | | | | | | | | | | | | | | | | | | all_57_9 & op(e2, e2) = all_57_11 & op(e2,
% 194.12/30.59 | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_13 & op(e2, e0) = all_57_15 &
% 194.12/30.59 | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_8) &
% 194.12/30.59 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9) & $i(all_57_10) & $i(all_57_11)
% 194.12/30.59 | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_12) & $i(all_57_13) &
% 194.12/30.59 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & $i(all_57_15)) | (all_57_29
% 194.12/30.59 | | | | | | | | | | | | | | | | | | | | | | = e0 & ~ (all_57_16 = e3) & ~ (all_57_18 =
% 194.12/30.59 | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_20 = e1) & ~ (all_57_22
% 194.12/30.59 | | | | | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_31 = e1) & op(e1,
% 194.12/30.59 | | | | | | | | | | | | | | | | | | | | | | all_57_17) = all_57_16 & op(e1, all_57_19)
% 194.12/30.59 | | | | | | | | | | | | | | | | | | | | | | = all_57_18 & op(e1, all_57_21) = all_57_20
% 194.12/30.59 | | | | | | | | | | | | | | | | | | | | | | & op(e1, all_57_23) = all_57_22 & op(e1, e3)
% 194.12/30.59 | | | | | | | | | | | | | | | | | | | | | | = all_57_17 & op(e1, e2) = all_57_19 &
% 194.12/30.59 | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_21 & op(e1, e0) =
% 194.12/30.59 | | | | | | | | | | | | | | | | | | | | | | all_57_23 & op(e0, e1) = e0 & $i(all_57_16)
% 194.12/30.59 | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_17) & $i(all_57_18) &
% 194.12/30.59 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_20) &
% 194.12/30.59 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_22) &
% 194.12/30.59 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23))))
% 194.12/30.59 | | | | | | | | | | | | | | | | | | | | | |
% 194.12/30.59 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2292) gives:
% 194.12/30.59 | | | | | | | | | | | | | | | | | | | | | |
% 194.12/30.60 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 194.12/30.60 | | | | | | | | | | | | | | | | | | | | | | |
% 194.12/30.60 | | | | | | | | | | | | | | | | | | | | | | | (2293) all_57_17 = e1 & ~ (all_57_0 = e3) & ~ (all_57_2
% 194.12/30.60 | | | | | | | | | | | | | | | | | | | | | | | = e2) & ~ (all_57_4 = e1) & ~ (all_57_6 = e0)
% 194.12/30.60 | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_21 = e3) & op(e3, all_57_1) =
% 194.12/30.60 | | | | | | | | | | | | | | | | | | | | | | | all_57_0 & op(e3, all_57_3) = all_57_2 & op(e3,
% 194.12/30.60 | | | | | | | | | | | | | | | | | | | | | | | all_57_5) = all_57_4 & op(e3, all_57_7) =
% 194.12/30.60 | | | | | | | | | | | | | | | | | | | | | | | all_57_6 & op(e3, e3) = all_57_1 & op(e3, e2) =
% 194.12/30.60 | | | | | | | | | | | | | | | | | | | | | | | all_57_3 & op(e3, e1) = all_57_5 & op(e3, e0) =
% 194.12/30.60 | | | | | | | | | | | | | | | | | | | | | | | all_57_7 & op(e1, e3) = e1 & op(e1, e1) =
% 194.12/30.60 | | | | | | | | | | | | | | | | | | | | | | | all_57_21 & $i(all_57_0) & $i(all_57_1) &
% 194.12/30.60 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_2) & $i(all_57_3) & $i(all_57_4) &
% 194.12/30.60 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 194.12/30.60 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21)
% 194.12/30.60 | | | | | | | | | | | | | | | | | | | | | | |
% 194.12/30.60 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2293) implies:
% 194.12/30.60 | | | | | | | | | | | | | | | | | | | | | | | (2294) op(e1, e3) = e1
% 194.12/30.60 | | | | | | | | | | | | | | | | | | | | | | |
% 194.12/30.60 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (163), (2230), (2294), (function-axioms) are
% 194.12/30.60 | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1939.
% 194.12/30.60 | | | | | | | | | | | | | | | | | | | | | | |
% 194.12/30.60 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 194.12/30.60 | | | | | | | | | | | | | | | | | | | | | | |
% 194.12/30.60 | | | | | | | | | | | | | | | | | | | | | | | (2295) (all_57_19 = e1 & ~ (all_57_8 = e3) & ~
% 194.12/30.60 | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e2) & ~ (all_57_12 = e1) & ~
% 194.12/30.60 | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e0) & ~ (all_57_21 = e2) & op(e2,
% 194.12/30.60 | | | | | | | | | | | | | | | | | | | | | | | all_57_9) = all_57_8 & op(e2, all_57_11) =
% 194.12/30.60 | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e2, all_57_13) = all_57_12 &
% 194.12/30.60 | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_15) = all_57_14 & op(e2, e3) =
% 194.12/30.60 | | | | | | | | | | | | | | | | | | | | | | | all_57_9 & op(e2, e2) = all_57_11 & op(e2, e1) =
% 194.12/30.60 | | | | | | | | | | | | | | | | | | | | | | | all_57_13 & op(e2, e0) = all_57_15 & op(e1, e2)
% 194.12/30.60 | | | | | | | | | | | | | | | | | | | | | | | = e1 & op(e1, e1) = all_57_21 & $i(all_57_8) &
% 194.12/30.60 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9) & $i(all_57_10) & $i(all_57_11) &
% 194.12/30.60 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & $i(all_57_13) & $i(all_57_14) &
% 194.12/30.60 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & $i(all_57_21)) | (op(e0, e0) =
% 194.12/30.60 | | | | | | | | | | | | | | | | | | | | | | | all_57_31 & $i(all_57_31) & ((all_57_23 = e1 &
% 194.12/30.60 | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_21 = e0) & ~ (all_57_24 = e3) &
% 194.12/30.60 | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_26 = e2) & ~ (all_57_28 = e1) &
% 194.12/30.60 | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_30 = e0) & op(e1, e1) = all_57_21
% 194.12/30.60 | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e0) = e1 & op(e0, all_57_25) =
% 194.12/30.60 | | | | | | | | | | | | | | | | | | | | | | | all_57_24 & op(e0, all_57_27) = all_57_26 &
% 194.12/30.60 | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_29) = all_57_28 & op(e0,
% 194.12/30.60 | | | | | | | | | | | | | | | | | | | | | | | all_57_31) = all_57_30 & op(e0, e3) =
% 194.12/30.60 | | | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_27 & op(e0,
% 194.12/30.60 | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_29 & $i(all_57_21) &
% 194.12/30.60 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_24) & $i(all_57_25) &
% 194.12/30.60 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_27) &
% 194.12/30.60 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28) & $i(all_57_29) &
% 194.12/30.60 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_25 = e0 & ~
% 194.12/30.60 | | | | | | | | | | | | | | | | | | | | | | | (all_57_0 = e3) & ~ (all_57_2 = e2) & ~
% 194.12/30.60 | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1) & ~ (all_57_6 = e0) & ~
% 194.12/30.60 | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e3) & op(e3, all_57_1) =
% 194.12/30.60 | | | | | | | | | | | | | | | | | | | | | | | all_57_0 & op(e3, all_57_3) = all_57_2 &
% 194.12/30.60 | | | | | | | | | | | | | | | | | | | | | | | op(e3, all_57_5) = all_57_4 & op(e3,
% 194.12/30.60 | | | | | | | | | | | | | | | | | | | | | | | all_57_7) = all_57_6 & op(e3, e3) =
% 194.12/30.60 | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e2) = all_57_3 & op(e3,
% 194.12/30.60 | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_5 & op(e3, e0) = all_57_7 &
% 194.12/30.60 | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_0) &
% 194.12/30.60 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_2) & $i(all_57_3) &
% 194.12/30.60 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4) & $i(all_57_5) & $i(all_57_6) &
% 194.12/30.60 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7)) | (all_57_27 = e0 & ~
% 194.12/30.60 | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e3) & ~ (all_57_10 = e2) & ~
% 194.12/30.60 | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e1) & ~ (all_57_14 = e0) & ~
% 194.12/30.60 | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e2) & op(e2, all_57_9) =
% 194.12/30.60 | | | | | | | | | | | | | | | | | | | | | | | all_57_8 & op(e2, all_57_11) = all_57_10 &
% 194.12/30.60 | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_13) = all_57_12 & op(e2,
% 194.12/30.60 | | | | | | | | | | | | | | | | | | | | | | | all_57_15) = all_57_14 & op(e2, e3) =
% 194.12/30.60 | | | | | | | | | | | | | | | | | | | | | | | all_57_9 & op(e2, e2) = all_57_11 & op(e2,
% 194.12/30.60 | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_13 & op(e2, e0) = all_57_15 &
% 194.12/30.60 | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_8) &
% 194.12/30.60 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9) & $i(all_57_10) & $i(all_57_11)
% 194.12/30.60 | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_12) & $i(all_57_13) &
% 194.12/30.60 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & $i(all_57_15)) | (all_57_29
% 194.12/30.60 | | | | | | | | | | | | | | | | | | | | | | | = e0 & ~ (all_57_16 = e3) & ~ (all_57_18 =
% 194.12/30.60 | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_20 = e1) & ~ (all_57_22
% 194.12/30.60 | | | | | | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_31 = e1) & op(e1,
% 194.12/30.60 | | | | | | | | | | | | | | | | | | | | | | | all_57_17) = all_57_16 & op(e1, all_57_19)
% 194.12/30.60 | | | | | | | | | | | | | | | | | | | | | | | = all_57_18 & op(e1, all_57_21) = all_57_20
% 194.12/30.60 | | | | | | | | | | | | | | | | | | | | | | | & op(e1, all_57_23) = all_57_22 & op(e1, e3)
% 194.12/30.60 | | | | | | | | | | | | | | | | | | | | | | | = all_57_17 & op(e1, e2) = all_57_19 &
% 194.12/30.60 | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_21 & op(e1, e0) =
% 194.12/30.60 | | | | | | | | | | | | | | | | | | | | | | | all_57_23 & op(e0, e1) = e0 & $i(all_57_16)
% 194.12/30.60 | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_17) & $i(all_57_18) &
% 194.12/30.60 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_20) &
% 194.12/30.60 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_22) &
% 194.12/30.60 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23))))
% 194.12/30.60 | | | | | | | | | | | | | | | | | | | | | | |
% 194.12/30.60 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2295) gives:
% 194.12/30.60 | | | | | | | | | | | | | | | | | | | | | | |
% 194.12/30.60 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 194.12/30.60 | | | | | | | | | | | | | | | | | | | | | | | |
% 194.12/30.60 | | | | | | | | | | | | | | | | | | | | | | | | (2296) all_57_19 = e1 & ~ (all_57_8 = e3) & ~
% 194.12/30.60 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e2) & ~ (all_57_12 = e1) & ~
% 194.12/30.60 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e0) & ~ (all_57_21 = e2) & op(e2,
% 194.12/30.60 | | | | | | | | | | | | | | | | | | | | | | | | all_57_9) = all_57_8 & op(e2, all_57_11) =
% 194.12/30.60 | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e2, all_57_13) = all_57_12 & op(e2,
% 194.12/30.60 | | | | | | | | | | | | | | | | | | | | | | | | all_57_15) = all_57_14 & op(e2, e3) = all_57_9 &
% 194.12/30.60 | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_11 & op(e2, e1) = all_57_13 &
% 194.12/30.60 | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_15 & op(e1, e2) = e1 & op(e1,
% 194.12/30.60 | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_21 & $i(all_57_8) & $i(all_57_9) &
% 194.12/30.60 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & $i(all_57_11) & $i(all_57_12) &
% 194.12/30.60 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13) & $i(all_57_14) & $i(all_57_15) &
% 194.12/30.60 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21)
% 194.12/30.60 | | | | | | | | | | | | | | | | | | | | | | | |
% 194.12/30.60 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2296) implies:
% 194.12/30.60 | | | | | | | | | | | | | | | | | | | | | | | | (2297) op(e1, e2) = e1
% 194.12/30.60 | | | | | | | | | | | | | | | | | | | | | | | |
% 194.12/30.60 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (162), (2231), (2297), (function-axioms) are
% 194.12/30.60 | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1480.
% 194.12/30.60 | | | | | | | | | | | | | | | | | | | | | | | |
% 194.12/30.60 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 194.12/30.60 | | | | | | | | | | | | | | | | | | | | | | | |
% 194.12/30.60 | | | | | | | | | | | | | | | | | | | | | | | | (2298) op(e0, e0) = all_57_31 & $i(all_57_31) &
% 194.12/30.60 | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_23 = e1 & ~ (all_57_21 = e0) & ~
% 194.12/30.60 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 194.12/30.60 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) &
% 194.12/30.60 | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_21 & op(e1, e0) = e1 &
% 194.12/30.60 | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_25) = all_57_24 & op(e0,
% 194.12/30.60 | | | | | | | | | | | | | | | | | | | | | | | | all_57_27) = all_57_26 & op(e0, all_57_29) =
% 194.12/30.60 | | | | | | | | | | | | | | | | | | | | | | | | all_57_28 & op(e0, all_57_31) = all_57_30 &
% 194.12/30.60 | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_25 & op(e0, e2) =
% 194.12/30.60 | | | | | | | | | | | | | | | | | | | | | | | | all_57_27 & op(e0, e1) = all_57_29 &
% 194.12/30.60 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_24) & $i(all_57_25)
% 194.12/30.60 | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_26) & $i(all_57_27) &
% 194.12/30.60 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28) & $i(all_57_29) & $i(all_57_30))
% 194.12/30.60 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_25 = e0 & ~ (all_57_0 = e3) & ~
% 194.12/30.60 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e2) & ~ (all_57_4 = e1) & ~
% 194.12/30.60 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_6 = e0) & ~ (all_57_31 = e3) & op(e3,
% 194.12/30.60 | | | | | | | | | | | | | | | | | | | | | | | | all_57_1) = all_57_0 & op(e3, all_57_3) =
% 194.12/30.60 | | | | | | | | | | | | | | | | | | | | | | | | all_57_2 & op(e3, all_57_5) = all_57_4 &
% 194.12/30.60 | | | | | | | | | | | | | | | | | | | | | | | | op(e3, all_57_7) = all_57_6 & op(e3, e3) =
% 194.12/30.60 | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e2) = all_57_3 & op(e3, e1)
% 194.12/30.60 | | | | | | | | | | | | | | | | | | | | | | | | = all_57_5 & op(e3, e0) = all_57_7 & op(e0,
% 194.12/30.60 | | | | | | | | | | | | | | | | | | | | | | | | e3) = e0 & $i(all_57_0) & $i(all_57_1) &
% 194.12/30.60 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_2) & $i(all_57_3) & $i(all_57_4) &
% 194.12/30.60 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_6) & $i(all_57_7)) |
% 194.12/30.60 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_27 = e0 & ~ (all_57_8 = e3) & ~
% 194.12/30.60 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e2) & ~ (all_57_12 = e1) & ~
% 194.12/30.60 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e0) & ~ (all_57_31 = e2) &
% 194.12/30.60 | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_9) = all_57_8 & op(e2,
% 194.12/30.60 | | | | | | | | | | | | | | | | | | | | | | | | all_57_11) = all_57_10 & op(e2, all_57_13) =
% 194.12/30.60 | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & op(e2, all_57_15) = all_57_14 &
% 194.12/30.60 | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_9 & op(e2, e2) = all_57_11
% 194.12/30.60 | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = all_57_13 & op(e2, e0) =
% 194.12/30.60 | | | | | | | | | | | | | | | | | | | | | | | | all_57_15 & op(e0, e2) = e0 & $i(all_57_8) &
% 194.12/30.60 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9) & $i(all_57_10) & $i(all_57_11) &
% 194.12/30.60 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & $i(all_57_13) & $i(all_57_14)
% 194.12/30.60 | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_15)) | (all_57_29 = e0 & ~
% 194.12/30.60 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_16 = e3) & ~ (all_57_18 = e2) & ~
% 194.12/30.60 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_22 = e0) & ~
% 194.12/30.60 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e1) & op(e1, all_57_17) =
% 194.12/30.60 | | | | | | | | | | | | | | | | | | | | | | | | all_57_16 & op(e1, all_57_19) = all_57_18 &
% 194.12/30.60 | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_21) = all_57_20 & op(e1,
% 194.12/30.60 | | | | | | | | | | | | | | | | | | | | | | | | all_57_23) = all_57_22 & op(e1, e3) =
% 194.12/30.60 | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e1, e2) = all_57_19 & op(e1,
% 194.12/30.60 | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_21 & op(e1, e0) = all_57_23 &
% 194.12/30.60 | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_16) &
% 194.12/30.60 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_17) & $i(all_57_18) & $i(all_57_19)
% 194.12/30.60 | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_20) & $i(all_57_21) &
% 194.12/30.60 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_23)))
% 194.12/30.60 | | | | | | | | | | | | | | | | | | | | | | | |
% 194.12/30.60 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2298) implies:
% 194.12/30.60 | | | | | | | | | | | | | | | | | | | | | | | | (2299) (all_57_23 = e1 & ~ (all_57_21 = e0) & ~
% 194.12/30.60 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 194.12/30.60 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) & op(e1,
% 194.12/30.60 | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_21 & op(e1, e0) = e1 & op(e0,
% 194.12/30.60 | | | | | | | | | | | | | | | | | | | | | | | | all_57_25) = all_57_24 & op(e0, all_57_27) =
% 194.12/30.60 | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e0, all_57_29) = all_57_28 &
% 194.12/30.60 | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_31) = all_57_30 & op(e0, e3) =
% 194.12/30.60 | | | | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_27 & op(e0, e1)
% 194.12/30.60 | | | | | | | | | | | | | | | | | | | | | | | | = all_57_29 & $i(all_57_21) & $i(all_57_24) &
% 194.12/30.60 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_25) & $i(all_57_26) & $i(all_57_27) &
% 194.12/30.60 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28) & $i(all_57_29) & $i(all_57_30)) |
% 194.12/30.60 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_25 = e0 & ~ (all_57_0 = e3) & ~
% 194.12/30.60 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e2) & ~ (all_57_4 = e1) & ~
% 194.12/30.60 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_6 = e0) & ~ (all_57_31 = e3) & op(e3,
% 194.12/30.60 | | | | | | | | | | | | | | | | | | | | | | | | all_57_1) = all_57_0 & op(e3, all_57_3) =
% 194.12/30.60 | | | | | | | | | | | | | | | | | | | | | | | | all_57_2 & op(e3, all_57_5) = all_57_4 & op(e3,
% 194.12/30.60 | | | | | | | | | | | | | | | | | | | | | | | | all_57_7) = all_57_6 & op(e3, e3) = all_57_1 &
% 194.12/30.60 | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_3 & op(e3, e1) = all_57_5 &
% 194.12/30.60 | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_7 & op(e0, e3) = e0 &
% 194.12/30.60 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_0) & $i(all_57_1) & $i(all_57_2) &
% 194.12/30.60 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_3) & $i(all_57_4) & $i(all_57_5) &
% 194.12/30.60 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_6) & $i(all_57_7)) | (all_57_27 = e0 &
% 194.12/30.60 | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_8 = e3) & ~ (all_57_10 = e2) & ~
% 194.12/30.60 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e1) & ~ (all_57_14 = e0) & ~
% 194.12/30.60 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e2) & op(e2, all_57_9) = all_57_8 &
% 194.12/30.60 | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_11) = all_57_10 & op(e2,
% 194.12/30.60 | | | | | | | | | | | | | | | | | | | | | | | | all_57_13) = all_57_12 & op(e2, all_57_15) =
% 194.12/30.60 | | | | | | | | | | | | | | | | | | | | | | | | all_57_14 & op(e2, e3) = all_57_9 & op(e2, e2) =
% 194.12/30.60 | | | | | | | | | | | | | | | | | | | | | | | | all_57_11 & op(e2, e1) = all_57_13 & op(e2, e0)
% 194.12/30.60 | | | | | | | | | | | | | | | | | | | | | | | | = all_57_15 & op(e0, e2) = e0 & $i(all_57_8) &
% 194.12/30.60 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9) & $i(all_57_10) & $i(all_57_11) &
% 194.12/30.60 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & $i(all_57_13) & $i(all_57_14) &
% 194.12/30.60 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15)) | (all_57_29 = e0 & ~ (all_57_16
% 194.12/30.60 | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_18 = e2) & ~ (all_57_20 =
% 194.12/30.60 | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_22 = e0) & ~ (all_57_31 =
% 194.12/30.60 | | | | | | | | | | | | | | | | | | | | | | | | e1) & op(e1, all_57_17) = all_57_16 & op(e1,
% 194.12/30.60 | | | | | | | | | | | | | | | | | | | | | | | | all_57_19) = all_57_18 & op(e1, all_57_21) =
% 194.12/30.60 | | | | | | | | | | | | | | | | | | | | | | | | all_57_20 & op(e1, all_57_23) = all_57_22 &
% 194.12/30.60 | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_17 & op(e1, e2) = all_57_19
% 194.12/30.60 | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = all_57_21 & op(e1, e0) =
% 194.12/30.60 | | | | | | | | | | | | | | | | | | | | | | | | all_57_23 & op(e0, e1) = e0 & $i(all_57_16) &
% 194.12/30.60 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_17) & $i(all_57_18) & $i(all_57_19) &
% 194.12/30.60 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_20) & $i(all_57_21) & $i(all_57_22) &
% 194.12/30.60 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23))
% 194.12/30.60 | | | | | | | | | | | | | | | | | | | | | | | |
% 194.12/30.60 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2299) gives:
% 194.12/30.60 | | | | | | | | | | | | | | | | | | | | | | | |
% 194.12/30.60 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 194.12/30.60 | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.12/30.60 | | | | | | | | | | | | | | | | | | | | | | | | | (2300) (all_57_23 = e1 & ~ (all_57_21 = e0) & ~
% 194.12/30.60 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 194.12/30.60 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) & op(e1,
% 194.12/30.60 | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_21 & op(e1, e0) = e1 & op(e0,
% 194.12/30.60 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25) = all_57_24 & op(e0, all_57_27) =
% 194.12/30.60 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e0, all_57_29) = all_57_28 &
% 194.12/30.60 | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_31) = all_57_30 & op(e0, e3) =
% 194.12/30.60 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_27 & op(e0, e1)
% 194.12/30.60 | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_29 & $i(all_57_21) & $i(all_57_24) &
% 194.12/30.60 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_25) & $i(all_57_26) & $i(all_57_27) &
% 194.12/30.60 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28) & $i(all_57_29) & $i(all_57_30)) |
% 194.12/30.60 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_25 = e0 & ~ (all_57_0 = e3) & ~
% 194.12/30.60 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e2) & ~ (all_57_4 = e1) & ~
% 194.12/30.60 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_6 = e0) & ~ (all_57_31 = e3) & op(e3,
% 194.12/30.60 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1) = all_57_0 & op(e3, all_57_3) =
% 194.12/30.60 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_2 & op(e3, all_57_5) = all_57_4 & op(e3,
% 194.12/30.60 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7) = all_57_6 & op(e3, e3) = all_57_1 &
% 194.12/30.60 | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_3 & op(e3, e1) = all_57_5 &
% 194.12/30.60 | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_7 & op(e0, e3) = e0 &
% 194.12/30.60 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_0) & $i(all_57_1) & $i(all_57_2) &
% 194.12/30.60 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_3) & $i(all_57_4) & $i(all_57_5) &
% 194.12/30.60 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_6) & $i(all_57_7))
% 194.12/30.60 | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.12/30.60 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (160), (2233), (2245), (2300), (function-axioms)
% 194.12/30.60 | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1478.
% 194.12/30.60 | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.12/30.60 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 194.12/30.60 | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.18/30.60 | | | | | | | | | | | | | | | | | | | | | | | | | (2301) (all_57_27 = e0 & ~ (all_57_8 = e3) & ~
% 194.18/30.60 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e2) & ~ (all_57_12 = e1) & ~
% 194.18/30.60 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e0) & ~ (all_57_31 = e2) & op(e2,
% 194.18/30.60 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_9) = all_57_8 & op(e2, all_57_11) =
% 194.18/30.60 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e2, all_57_13) = all_57_12 &
% 194.18/30.60 | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_15) = all_57_14 & op(e2, e3) =
% 194.18/30.60 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_9 & op(e2, e2) = all_57_11 & op(e2, e1) =
% 194.18/30.60 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_13 & op(e2, e0) = all_57_15 & op(e0, e2)
% 194.18/30.60 | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & $i(all_57_8) & $i(all_57_9) &
% 194.18/30.60 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & $i(all_57_11) & $i(all_57_12) &
% 194.18/30.60 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13) & $i(all_57_14) & $i(all_57_15)) |
% 194.18/30.60 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_29 = e0 & ~ (all_57_16 = e3) & ~
% 194.18/30.60 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_18 = e2) & ~ (all_57_20 = e1) & ~
% 194.18/30.60 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_22 = e0) & ~ (all_57_31 = e1) & op(e1,
% 194.18/30.60 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17) = all_57_16 & op(e1, all_57_19) =
% 194.18/30.60 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_18 & op(e1, all_57_21) = all_57_20 &
% 194.18/30.60 | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_23) = all_57_22 & op(e1, e3) =
% 194.18/30.60 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e1, e2) = all_57_19 & op(e1, e1)
% 194.18/30.60 | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_21 & op(e1, e0) = all_57_23 & op(e0,
% 194.18/30.60 | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0 & $i(all_57_16) & $i(all_57_17) &
% 194.18/30.60 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_19) & $i(all_57_20) &
% 194.18/30.60 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_22) & $i(all_57_23))
% 194.18/30.60 | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.18/30.60 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (158), (1546), (2236), (2301), (function-axioms)
% 194.18/30.60 | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1374.
% 194.18/30.60 | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.18/30.60 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 194.18/30.60 | | | | | | | | | | | | | | | | | | | | | | | |
% 194.18/30.60 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 194.18/30.60 | | | | | | | | | | | | | | | | | | | | | | |
% 194.18/30.60 | | | | | | | | | | | | | | | | | | | | | | End of split
% 194.18/30.60 | | | | | | | | | | | | | | | | | | | | | |
% 194.18/30.60 | | | | | | | | | | | | | | | | | | | | | End of split
% 194.18/30.60 | | | | | | | | | | | | | | | | | | | | |
% 194.18/30.60 | | | | | | | | | | | | | | | | | | | | End of split
% 194.18/30.60 | | | | | | | | | | | | | | | | | | | |
% 194.18/30.60 | | | | | | | | | | | | | | | | | | | Case 2:
% 194.18/30.60 | | | | | | | | | | | | | | | | | | | |
% 194.18/30.60 | | | | | | | | | | | | | | | | | | | | (2302) all_54_0 = e2 | all_54_0 = e1 | all_54_0 = e0
% 194.18/30.60 | | | | | | | | | | | | | | | | | | | |
% 194.18/30.60 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (279), (377), (1575), (2238), (2302) are
% 194.18/30.60 | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1904.
% 194.18/30.60 | | | | | | | | | | | | | | | | | | | |
% 194.18/30.60 | | | | | | | | | | | | | | | | | | | End of split
% 194.18/30.60 | | | | | | | | | | | | | | | | | | |
% 194.18/30.60 | | | | | | | | | | | | | | | | | | Case 2:
% 194.18/30.60 | | | | | | | | | | | | | | | | | | |
% 194.18/30.60 | | | | | | | | | | | | | | | | | | | (2303) all_34_2 = e0
% 194.18/30.60 | | | | | | | | | | | | | | | | | | |
% 194.18/30.60 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (313), (2303) imply:
% 194.18/30.60 | | | | | | | | | | | | | | | | | | | (2304) all_14_2 = e0
% 194.18/30.60 | | | | | | | | | | | | | | | | | | |
% 194.18/30.60 | | | | | | | | | | | | | | | | | | | SIMP: (2304) implies:
% 194.18/30.60 | | | | | | | | | | | | | | | | | | | (2305) all_14_2 = e0
% 194.18/30.60 | | | | | | | | | | | | | | | | | | |
% 194.18/30.60 | | | | | | | | | | | | | | | | | | | REDUCE: (339), (2305) imply:
% 194.18/30.60 | | | | | | | | | | | | | | | | | | | (2306) ~ (all_52_2 = e0)
% 194.18/30.60 | | | | | | | | | | | | | | | | | | |
% 194.18/30.60 | | | | | | | | | | | | | | | | | | | REDUCE: (341), (2305) imply:
% 194.18/30.60 | | | | | | | | | | | | | | | | | | | (2307) ~ (all_52_3 = e0)
% 194.18/30.60 | | | | | | | | | | | | | | | | | | |
% 194.18/30.60 | | | | | | | | | | | | | | | | | | | REDUCE: (345), (2305) imply:
% 194.18/30.60 | | | | | | | | | | | | | | | | | | | (2308) ~ (all_52_8 = e0)
% 194.18/30.60 | | | | | | | | | | | | | | | | | | |
% 194.18/30.60 | | | | | | | | | | | | | | | | | | | REDUCE: (377), (2305) imply:
% 194.18/30.60 | | | | | | | | | | | | | | | | | | | (2309) ~ (e2 = e0)
% 194.18/30.60 | | | | | | | | | | | | | | | | | | |
% 194.18/30.60 | | | | | | | | | | | | | | | | | | | REDUCE: (51), (2305) imply:
% 194.18/30.60 | | | | | | | | | | | | | | | | | | | (2310) op(e3, e3) = e0
% 194.18/30.60 | | | | | | | | | | | | | | | | | | |
% 194.18/30.60 | | | | | | | | | | | | | | | | | | | BETA: splitting (217) gives:
% 194.18/30.60 | | | | | | | | | | | | | | | | | | |
% 194.18/30.60 | | | | | | | | | | | | | | | | | | | Case 1:
% 194.18/30.60 | | | | | | | | | | | | | | | | | | | |
% 194.18/30.60 | | | | | | | | | | | | | | | | | | | | (2311) (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_5 = e0
% 194.18/30.60 | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e0)
% 194.18/30.60 | | | | | | | | | | | | | | | | | | | |
% 194.18/30.60 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (158), (162), (169),
% 194.18/30.60 | | | | | | | | | | | | | | | | | | | | (222), (223), (224), (225), (226), (227), (228),
% 194.18/30.60 | | | | | | | | | | | | | | | | | | | | (1545), (1546), (1551), (2308), (2311),
% 194.18/30.60 | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 194.18/30.60 | | | | | | | | | | | | | | | | | | | | #1464.
% 194.18/30.60 | | | | | | | | | | | | | | | | | | | |
% 194.18/30.60 | | | | | | | | | | | | | | | | | | | Case 2:
% 194.18/30.60 | | | | | | | | | | | | | | | | | | | |
% 194.18/30.60 | | | | | | | | | | | | | | | | | | | | (2312) (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_14 =
% 194.18/30.60 | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0)
% 194.18/30.60 | | | | | | | | | | | | | | | | | | | |
% 194.18/30.60 | | | | | | | | | | | | | | | | | | | | BETA: splitting (2312) gives:
% 194.18/30.60 | | | | | | | | | | | | | | | | | | | |
% 194.18/30.60 | | | | | | | | | | | | | | | | | | | | Case 1:
% 194.18/30.60 | | | | | | | | | | | | | | | | | | | | |
% 194.18/30.60 | | | | | | | | | | | | | | | | | | | | | (2313) all_56_8 = e0 & op(e1, e1) = e0
% 194.18/30.60 | | | | | | | | | | | | | | | | | | | | |
% 194.18/30.60 | | | | | | | | | | | | | | | | | | | | | ALPHA: (2313) implies:
% 194.18/30.60 | | | | | | | | | | | | | | | | | | | | | (2314) op(e1, e1) = e0
% 194.18/30.60 | | | | | | | | | | | | | | | | | | | | |
% 194.18/30.60 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (2236), (2314), (function-axioms) are
% 194.18/30.60 | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1956.
% 194.18/30.60 | | | | | | | | | | | | | | | | | | | | |
% 194.18/30.60 | | | | | | | | | | | | | | | | | | | | Case 2:
% 194.18/30.60 | | | | | | | | | | | | | | | | | | | | |
% 194.18/30.60 | | | | | | | | | | | | | | | | | | | | | (2315) all_56_14 = e0 & op(e0, e1) = e0
% 194.18/30.60 | | | | | | | | | | | | | | | | | | | | |
% 194.18/30.60 | | | | | | | | | | | | | | | | | | | | | ALPHA: (2315) implies:
% 194.18/30.60 | | | | | | | | | | | | | | | | | | | | | (2316) all_56_14 = e0
% 194.18/30.60 | | | | | | | | | | | | | | | | | | | | | (2317) op(e0, e1) = e0
% 194.18/30.60 | | | | | | | | | | | | | | | | | | | | |
% 194.18/30.60 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (213) gives:
% 194.18/30.60 | | | | | | | | | | | | | | | | | | | | |
% 194.18/30.60 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 194.18/30.60 | | | | | | | | | | | | | | | | | | | | | |
% 194.18/30.60 | | | | | | | | | | | | | | | | | | | | | | (2318) (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_7 = e0
% 194.18/30.60 | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e0)
% 194.18/30.60 | | | | | | | | | | | | | | | | | | | | | |
% 194.18/30.60 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (162), (163), (1545), (2306), (2318),
% 194.18/30.60 | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 194.18/30.60 | | | | | | | | | | | | | | | | | | | | | | #1472.
% 194.18/30.60 | | | | | | | | | | | | | | | | | | | | | |
% 194.18/30.60 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 194.18/30.60 | | | | | | | | | | | | | | | | | | | | | |
% 194.18/30.60 | | | | | | | | | | | | | | | | | | | | | | (2319) (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_11 =
% 194.18/30.60 | | | | | | | | | | | | | | | | | | | | | | e0 & op(e1, e0) = e0)
% 194.18/30.60 | | | | | | | | | | | | | | | | | | | | | |
% 194.18/30.60 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2319) gives:
% 194.18/30.60 | | | | | | | | | | | | | | | | | | | | | |
% 194.18/30.60 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 194.18/30.60 | | | | | | | | | | | | | | | | | | | | | | |
% 194.18/30.60 | | | | | | | | | | | | | | | | | | | | | | | (2320) all_56_8 = e0 & op(e1, e1) = e0
% 194.18/30.60 | | | | | | | | | | | | | | | | | | | | | | |
% 194.18/30.60 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2320) implies:
% 194.18/30.60 | | | | | | | | | | | | | | | | | | | | | | | (2321) op(e1, e1) = e0
% 194.18/30.60 | | | | | | | | | | | | | | | | | | | | | | |
% 194.18/30.60 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (2236), (2321), (function-axioms) are
% 194.18/30.60 | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1956.
% 194.18/30.60 | | | | | | | | | | | | | | | | | | | | | | |
% 194.18/30.60 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 194.18/30.60 | | | | | | | | | | | | | | | | | | | | | | |
% 194.18/30.60 | | | | | | | | | | | | | | | | | | | | | | | (2322) all_56_11 = e0 & op(e1, e0) = e0
% 194.18/30.60 | | | | | | | | | | | | | | | | | | | | | | |
% 194.18/30.60 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2322) implies:
% 194.18/30.60 | | | | | | | | | | | | | | | | | | | | | | | (2323) all_56_11 = e0
% 194.18/30.60 | | | | | | | | | | | | | | | | | | | | | | | (2324) op(e1, e0) = e0
% 194.18/30.60 | | | | | | | | | | | | | | | | | | | | | | |
% 194.18/30.60 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_11,
% 194.18/30.60 | | | | | | | | | | | | | | | | | | | | | | | e0, e1, e0, simplifying with (157), (2317) gives:
% 194.18/30.60 | | | | | | | | | | | | | | | | | | | | | | | (2325) all_52_11 = e0
% 194.18/30.60 | | | | | | | | | | | | | | | | | | | | | | |
% 194.18/30.60 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_14,
% 194.18/30.60 | | | | | | | | | | | | | | | | | | | | | | | e0, e0, e1, simplifying with (160), (2324) gives:
% 194.18/30.60 | | | | | | | | | | | | | | | | | | | | | | | (2326) all_52_14 = e0
% 194.18/30.60 | | | | | | | | | | | | | | | | | | | | | | |
% 194.18/30.60 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (112), (2326) imply:
% 194.18/30.60 | | | | | | | | | | | | | | | | | | | | | | | (2327) ~ (all_52_12 = e0)
% 194.18/30.60 | | | | | | | | | | | | | | | | | | | | | | |
% 194.18/30.60 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2217), (2326) imply:
% 194.18/30.60 | | | | | | | | | | | | | | | | | | | | | | | (2328) ~ (all_30_1 = e0)
% 194.18/30.60 | | | | | | | | | | | | | | | | | | | | | | |
% 194.18/30.60 | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2328) implies:
% 194.18/30.60 | | | | | | | | | | | | | | | | | | | | | | | (2329) ~ (all_30_1 = e0)
% 194.18/30.60 | | | | | | | | | | | | | | | | | | | | | | |
% 194.18/30.60 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (197) gives:
% 194.18/30.60 | | | | | | | | | | | | | | | | | | | | | | |
% 194.18/30.60 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 194.18/30.60 | | | | | | | | | | | | | | | | | | | | | | | |
% 194.18/30.60 | | | | | | | | | | | | | | | | | | | | | | | | (2330) all_54_7 = e3
% 194.18/30.60 | | | | | | | | | | | | | | | | | | | | | | | |
% 194.18/30.60 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2213), (2330) imply:
% 194.18/30.60 | | | | | | | | | | | | | | | | | | | | | | | | (2331) all_30_1 = e3
% 194.18/30.60 | | | | | | | | | | | | | | | | | | | | | | | |
% 194.18/30.60 | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2331) implies:
% 194.18/30.60 | | | | | | | | | | | | | | | | | | | | | | | | (2332) all_30_1 = e3
% 194.18/30.60 | | | | | | | | | | | | | | | | | | | | | | | |
% 194.18/30.60 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2214), (2332) imply:
% 194.18/30.60 | | | | | | | | | | | | | | | | | | | | | | | | (2333) ~ (all_52_9 = e3)
% 194.18/30.60 | | | | | | | | | | | | | | | | | | | | | | | |
% 194.18/30.60 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2215), (2332) imply:
% 194.18/30.60 | | | | | | | | | | | | | | | | | | | | | | | | (2334) ~ (all_52_12 = e3)
% 194.18/30.60 | | | | | | | | | | | | | | | | | | | | | | | |
% 194.18/30.60 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (201) gives:
% 194.18/30.60 | | | | | | | | | | | | | | | | | | | | | | | |
% 194.18/30.60 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 194.18/30.60 | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.18/30.60 | | | | | | | | | | | | | | | | | | | | | | | | | (2335) all_54_3 = e3
% 194.18/30.60 | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.18/30.60 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (270), (2335) imply:
% 194.18/30.60 | | | | | | | | | | | | | | | | | | | | | | | | | (2336) all_52_12 = e3
% 194.18/30.60 | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.18/30.60 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2334), (2336) imply:
% 194.18/30.60 | | | | | | | | | | | | | | | | | | | | | | | | | (2337) $false
% 194.18/30.60 | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.18/30.60 | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2337) is inconsistent.
% 194.18/30.60 | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.18/30.60 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 194.18/30.60 | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.18/30.60 | | | | | | | | | | | | | | | | | | | | | | | | | (2338) ~ (all_54_3 = e3)
% 194.18/30.60 | | | | | | | | | | | | | | | | | | | | | | | | | (2339) all_54_3 = e2 | all_54_3 = e1 | all_54_3 = e0
% 194.18/30.60 | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.18/30.60 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2339) gives:
% 194.18/30.60 | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.18/30.60 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 194.18/30.60 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.18/30.60 | | | | | | | | | | | | | | | | | | | | | | | | | | (2340) all_54_3 = e2
% 194.18/30.60 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.18/30.60 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (270), (2340) imply:
% 194.18/30.60 | | | | | | | | | | | | | | | | | | | | | | | | | | (2341) all_52_12 = e2
% 194.18/30.60 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.18/30.60 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2199), (2341) imply:
% 194.18/30.60 | | | | | | | | | | | | | | | | | | | | | | | | | | (2342) $false
% 194.18/30.60 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.18/30.60 | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2342) is inconsistent.
% 194.18/30.60 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.18/30.60 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 194.18/30.60 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.18/30.60 | | | | | | | | | | | | | | | | | | | | | | | | | | (2343) ~ (all_54_3 = e2)
% 194.18/30.60 | | | | | | | | | | | | | | | | | | | | | | | | | | (2344) all_54_3 = e1 | all_54_3 = e0
% 194.18/30.60 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.18/30.60 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (198) gives:
% 194.18/30.60 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.18/30.60 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 194.18/30.60 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.18/30.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2345) all_54_6 = e3
% 194.18/30.60 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.18/30.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (261), (2333), (2345) are inconsistent by
% 194.18/30.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1373.
% 194.18/30.60 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.18/30.60 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 194.18/30.60 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.18/30.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2346) ~ (all_54_6 = e3)
% 194.18/30.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2347) all_54_6 = e2 | all_54_6 = e1 | all_54_6 = e0
% 194.18/30.60 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.18/30.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (210) gives:
% 194.18/30.60 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.18/30.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 194.18/30.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.18/30.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2348) (all_56_9 = e1 & op(e3, e0) = e1) | (all_56_10 =
% 194.18/30.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e2, e0) = e1)
% 194.18/30.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.18/30.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2348) gives:
% 194.18/30.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.18/30.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 194.18/30.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.18/30.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2349) all_56_9 = e1 & op(e3, e0) = e1
% 194.18/30.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.18/30.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2349) implies:
% 194.18/30.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2350) all_56_9 = e1
% 194.18/30.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.18/30.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (212) gives:
% 194.18/30.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.18/30.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 194.18/30.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.18/30.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2351) (all_56_9 = e3 & op(e3, e0) = e3) | (all_56_10 =
% 194.18/30.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e0) = e3)
% 194.18/30.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.18/30.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2351) gives:
% 194.18/30.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.18/30.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 194.18/30.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.18/30.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2352) all_56_9 = e3 & op(e3, e0) = e3
% 194.18/30.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.18/30.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2352) implies:
% 194.18/30.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2353) op(e3, e0) = e3
% 194.18/30.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.18/30.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (168), (2334), (2353), (function-axioms) are
% 194.18/30.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1928.
% 194.18/30.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.18/30.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 194.18/30.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.18/30.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2354) all_56_10 = e3 & op(e2, e0) = e3
% 194.18/30.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.18/30.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2354) implies:
% 194.18/30.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2355) all_56_10 = e3
% 194.18/30.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.18/30.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (220) gives:
% 194.18/30.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.18/30.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 194.18/30.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.18/30.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2356) (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3
% 194.18/30.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e3)
% 194.18/30.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.18/30.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2356) gives:
% 194.18/30.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.18/30.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 194.18/30.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.18/30.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2357) all_56_4 = e3 & op(e3, e1) = e3
% 194.18/30.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.18/30.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2357) implies:
% 194.18/30.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2358) all_56_4 = e3
% 194.18/30.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.18/30.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2344) gives:
% 194.18/30.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.18/30.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 194.18/30.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.18/30.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2359) all_54_3 = e1
% 194.18/30.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.18/30.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (270), (2359) imply:
% 194.18/30.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2360) all_52_12 = e1
% 194.18/30.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.18/30.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2360) implies:
% 194.18/30.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2361) all_52_12 = e1
% 194.18/30.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.18/30.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (133), (2361) imply:
% 194.18/30.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2362) ~ (all_52_4 = e1)
% 194.18/30.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.18/30.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (234) gives:
% 194.18/30.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.18/30.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 194.18/30.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.18/30.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2363) (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_1 = e2
% 194.18/30.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e2)
% 194.18/30.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.18/30.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2363) gives:
% 194.18/30.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.18/30.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 194.18/30.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.18/30.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2364) all_56_0 = e2 & op(e3, e3) = e2
% 194.18/30.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.18/30.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2364) implies:
% 194.18/30.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2365) op(e3, e3) = e2
% 194.18/30.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.18/30.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (2310), (2365), (function-axioms) are
% 194.18/30.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1964.
% 194.18/30.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.18/30.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 194.18/30.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.18/30.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2366) all_56_1 = e2 & op(e3, e2) = e2
% 194.18/30.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.18/30.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2366) implies:
% 194.18/30.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2367) op(e3, e2) = e2
% 194.18/30.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.18/30.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (226) gives:
% 194.18/30.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.18/30.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 194.18/30.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.18/30.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2368) (all_56_1 = e1 & op(e3, e2) = e1) | (all_56_3 = e1
% 194.18/30.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1)
% 194.18/30.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.18/30.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (170), (1551), (2362), (2368),
% 194.18/30.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 194.18/30.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1372.
% 194.18/30.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.18/30.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 194.18/30.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.18/30.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2369) (all_56_7 = e1 & op(e1, e2) = e1) | (all_56_13 =
% 194.18/30.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e2) = e1)
% 194.18/30.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.18/30.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2369) gives:
% 194.18/30.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.18/30.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 194.18/30.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.18/30.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2370) all_56_7 = e1 & op(e1, e2) = e1
% 194.18/30.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.18/30.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2370) implies:
% 194.18/30.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2371) op(e1, e2) = e1
% 194.18/30.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.18/30.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (162), (2231), (2371), (function-axioms) are
% 194.18/30.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1480.
% 194.18/30.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.18/30.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 194.18/30.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.18/30.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2372) all_56_13 = e1 & op(e0, e2) = e1
% 194.18/30.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.18/30.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2372) implies:
% 194.18/30.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2373) all_56_13 = e1
% 194.18/30.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.18/30.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (228) gives:
% 194.18/30.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.18/30.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 194.18/30.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.18/30.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2374) (all_56_1 = e3 & op(e3, e2) = e3) | (all_56_3 = e3
% 194.18/30.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e3)
% 194.18/30.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.18/30.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (9), (1551), (2367), (2374),
% 194.18/30.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 194.18/30.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1371.
% 194.18/30.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.18/30.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 194.18/30.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.18/30.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2375) (all_56_7 = e3 & op(e1, e2) = e3) | (all_56_13 =
% 194.18/30.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e2) = e3)
% 194.18/30.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.18/30.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2375) gives:
% 194.18/30.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.18/30.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 194.18/30.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.18/30.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2376) all_56_7 = e3 & op(e1, e2) = e3
% 194.18/30.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.18/30.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2376) implies:
% 194.18/30.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2377) all_56_7 = e3
% 194.18/30.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2378) op(e1, e2) = e3
% 194.18/30.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.18/30.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (209) gives:
% 194.18/30.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.18/30.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 194.18/30.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.18/30.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2379) (all_56_12 = e3 & op(e0, e3) = e3) | (all_56_13 =
% 194.18/30.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e2) = e3)
% 194.18/30.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.18/30.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2379) gives:
% 194.18/30.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.18/30.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 194.18/30.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.18/30.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2380) all_56_12 = e3 & op(e0, e3) = e3
% 194.18/30.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.18/30.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2380) implies:
% 194.18/30.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2381) op(e0, e3) = e3
% 194.18/30.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.18/30.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2347) gives:
% 194.18/30.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.18/30.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 194.18/30.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.18/30.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2382) all_54_6 = e2
% 194.18/30.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.18/30.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (261), (2382) imply:
% 194.18/30.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2383) all_52_9 = e2
% 194.18/30.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.18/30.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2383) implies:
% 194.18/30.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2384) all_52_9 = e2
% 194.18/30.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.18/30.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (146), (2384) imply:
% 194.18/30.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2385) ~ (all_52_1 = e2)
% 194.18/30.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.18/30.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (238) gives:
% 194.18/30.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.18/30.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 194.18/30.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.18/30.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2386) (all_57_3 = e3 & ~ (all_57_1 = e2) & ~ (all_57_8
% 194.18/30.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_10 = e2) & ~ (all_57_12 =
% 194.18/30.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_14 = e0) & op(e3, e3) =
% 194.18/30.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e2) = e3 & op(e2, all_57_9) =
% 194.18/30.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_8 & op(e2, all_57_11) = all_57_10 &
% 194.18/30.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_13) = all_57_12 & op(e2,
% 194.18/30.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15) = all_57_14 & op(e2, e3) = all_57_9
% 194.18/30.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = all_57_11 & op(e2, e1) =
% 194.18/30.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_13 & op(e2, e0) = all_57_15 &
% 194.18/30.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_8) & $i(all_57_9) &
% 194.18/30.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & $i(all_57_11) & $i(all_57_12) &
% 194.18/30.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13) & $i(all_57_14) & $i(all_57_15)) |
% 194.18/30.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_5 = e3 & ~ (all_57_1 = e1) & ~
% 194.18/30.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_16 = e3) & ~ (all_57_18 = e2) & ~
% 194.18/30.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_22 = e0) & op(e3,
% 194.18/30.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_1 & op(e3, e1) = e3 & op(e1,
% 194.18/30.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17) = all_57_16 & op(e1, all_57_19) =
% 194.18/30.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_18 & op(e1, all_57_21) = all_57_20 &
% 194.18/30.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_23) = all_57_22 & op(e1, e3) =
% 194.18/30.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e1, e2) = all_57_19 & op(e1, e1)
% 194.18/30.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_21 & op(e1, e0) = all_57_23 &
% 194.18/30.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_16) & $i(all_57_17) &
% 194.18/30.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_19) & $i(all_57_20) &
% 194.18/30.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_22) & $i(all_57_23)) |
% 194.18/30.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_7 = e3 & ~ (all_57_1 = e0) & ~
% 194.18/30.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 194.18/30.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) & op(e3,
% 194.18/30.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_1 & op(e3, e0) = e3 & op(e0,
% 194.18/30.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25) = all_57_24 & op(e0, all_57_27) =
% 194.18/30.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e0, all_57_29) = all_57_28 &
% 194.18/30.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_31) = all_57_30 & op(e0, e3) =
% 194.18/30.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_27 & op(e0, e1)
% 194.18/30.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_29 & op(e0, e0) = all_57_31 &
% 194.18/30.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_24) & $i(all_57_25) &
% 194.18/30.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_27) & $i(all_57_28) &
% 194.18/30.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29) & $i(all_57_30) & $i(all_57_31)) |
% 194.18/30.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e2 & ~ (all_57_0 = e3) & ~ (all_57_2
% 194.18/30.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2) & ~ (all_57_4 = e1) & ~ (all_57_6 =
% 194.18/30.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_11 = e3) & op(e3, all_57_1) =
% 194.18/30.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_0 & op(e3, all_57_3) = all_57_2 & op(e3,
% 194.18/30.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_5) = all_57_4 & op(e3, all_57_7) =
% 194.18/30.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_6 & op(e3, e3) = all_57_1 & op(e3, e2) =
% 194.18/30.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 & op(e3, e1) = all_57_5 & op(e3, e0) =
% 194.18/30.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7 & op(e2, e3) = e2 & op(e2, e2) =
% 194.18/30.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_11 & $i(all_57_0) & $i(all_57_1) &
% 194.18/30.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_2) & $i(all_57_3) & $i(all_57_4) &
% 194.18/30.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 194.18/30.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11))
% 194.18/30.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.18/30.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2386) gives:
% 194.18/30.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.18/30.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 194.18/30.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.18/30.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2387) (all_57_3 = e3 & ~ (all_57_1 = e2) & ~ (all_57_8
% 194.18/30.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_10 = e2) & ~ (all_57_12 =
% 194.18/30.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_14 = e0) & op(e3, e3) =
% 194.18/30.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e2) = e3 & op(e2, all_57_9) =
% 194.18/30.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_8 & op(e2, all_57_11) = all_57_10 &
% 194.18/30.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_13) = all_57_12 & op(e2,
% 194.18/30.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15) = all_57_14 & op(e2, e3) = all_57_9
% 194.18/30.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = all_57_11 & op(e2, e1) =
% 194.18/30.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_13 & op(e2, e0) = all_57_15 &
% 194.18/30.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_8) & $i(all_57_9) &
% 194.18/30.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & $i(all_57_11) & $i(all_57_12) &
% 194.18/30.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13) & $i(all_57_14) & $i(all_57_15)) |
% 194.18/30.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_5 = e3 & ~ (all_57_1 = e1) & ~
% 194.18/30.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_16 = e3) & ~ (all_57_18 = e2) & ~
% 194.18/30.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_22 = e0) & op(e3,
% 194.18/30.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_1 & op(e3, e1) = e3 & op(e1,
% 194.18/30.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17) = all_57_16 & op(e1, all_57_19) =
% 194.18/30.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_18 & op(e1, all_57_21) = all_57_20 &
% 194.18/30.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_23) = all_57_22 & op(e1, e3) =
% 194.18/30.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e1, e2) = all_57_19 & op(e1, e1)
% 194.18/30.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_21 & op(e1, e0) = all_57_23 &
% 194.18/30.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_16) & $i(all_57_17) &
% 194.18/30.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_19) & $i(all_57_20) &
% 194.18/30.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_22) & $i(all_57_23))
% 194.18/30.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.18/30.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (2236), (2367), (2387), (function-axioms) are
% 194.18/30.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1370.
% 194.18/30.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.18/30.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 194.18/30.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.18/30.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2388) (all_57_7 = e3 & ~ (all_57_1 = e0) & ~
% 194.18/30.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 194.18/30.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) & op(e3,
% 194.18/30.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_1 & op(e3, e0) = e3 & op(e0,
% 194.18/30.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25) = all_57_24 & op(e0, all_57_27) =
% 194.18/30.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e0, all_57_29) = all_57_28 &
% 194.18/30.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_31) = all_57_30 & op(e0, e3) =
% 194.18/30.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_27 & op(e0, e1)
% 194.18/30.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_29 & op(e0, e0) = all_57_31 &
% 194.18/30.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_24) & $i(all_57_25) &
% 194.18/30.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_27) & $i(all_57_28) &
% 194.18/30.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29) & $i(all_57_30) & $i(all_57_31)) |
% 194.18/30.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e2 & ~ (all_57_0 = e3) & ~ (all_57_2
% 194.18/30.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2) & ~ (all_57_4 = e1) & ~ (all_57_6 =
% 194.18/30.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_11 = e3) & op(e3, all_57_1) =
% 194.18/30.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_0 & op(e3, all_57_3) = all_57_2 & op(e3,
% 194.18/30.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_5) = all_57_4 & op(e3, all_57_7) =
% 194.18/30.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_6 & op(e3, e3) = all_57_1 & op(e3, e2) =
% 194.18/30.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 & op(e3, e1) = all_57_5 & op(e3, e0) =
% 194.18/30.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7 & op(e2, e3) = e2 & op(e2, e2) =
% 194.18/30.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_11 & $i(all_57_0) & $i(all_57_1) &
% 194.18/30.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_2) & $i(all_57_3) & $i(all_57_4) &
% 194.18/30.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 194.18/30.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11))
% 194.18/30.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.18/30.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (167), (2381), (2385), (2388), (function-axioms)
% 194.18/30.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1628.
% 194.18/30.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.18/30.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 194.18/30.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.18/30.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 194.18/30.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.18/30.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2389) (all_57_13 = e2 & ~ (all_57_11 = e1) & ~
% 194.18/30.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_16 = e3) & ~ (all_57_18 = e2) & ~
% 194.18/30.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_22 = e0) & op(e2,
% 194.18/30.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_11 & op(e2, e1) = e2 & op(e1,
% 194.18/30.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17) = all_57_16 & op(e1, all_57_19) =
% 194.18/30.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_18 & op(e1, all_57_21) = all_57_20 &
% 194.18/30.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_23) = all_57_22 & op(e1, e3) =
% 194.18/30.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e1, e2) = all_57_19 & op(e1, e1)
% 194.18/30.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_21 & op(e1, e0) = all_57_23 &
% 194.18/30.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_16) & $i(all_57_17) &
% 194.18/30.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_19) & $i(all_57_20) &
% 194.18/30.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_22) & $i(all_57_23)) |
% 194.18/30.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e2 & ~ (all_57_11 = e0) & ~
% 194.18/30.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 194.18/30.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) & op(e2,
% 194.18/30.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_11 & op(e2, e0) = e2 & op(e0,
% 194.18/30.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25) = all_57_24 & op(e0, all_57_27) =
% 194.18/30.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e0, all_57_29) = all_57_28 &
% 194.18/30.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_31) = all_57_30 & op(e0, e3) =
% 194.18/30.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_27 & op(e0, e1)
% 194.18/30.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_29 & op(e0, e0) = all_57_31 &
% 194.18/30.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_24) & $i(all_57_25) &
% 194.18/30.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_27) & $i(all_57_28) &
% 194.18/30.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29) & $i(all_57_30) & $i(all_57_31)) |
% 194.18/30.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_17 = e1 & ~ (all_57_0 = e3) & ~
% 194.23/30.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e2) & ~ (all_57_4 = e1) & ~
% 194.23/30.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_6 = e0) & ~ (all_57_21 = e3) & op(e3,
% 194.23/30.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1) = all_57_0 & op(e3, all_57_3) =
% 194.23/30.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_2 & op(e3, all_57_5) = all_57_4 & op(e3,
% 194.23/30.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7) = all_57_6 & op(e3, e3) = all_57_1 &
% 194.23/30.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_3 & op(e3, e1) = all_57_5 &
% 194.23/30.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_7 & op(e1, e3) = e1 & op(e1,
% 194.23/30.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_21 & $i(all_57_0) & $i(all_57_1)
% 194.23/30.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_2) & $i(all_57_3) & $i(all_57_4) &
% 194.23/30.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 194.23/30.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21)) | (all_57_19 = e1 & ~ (all_57_8
% 194.23/30.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_10 = e2) & ~ (all_57_12 =
% 194.23/30.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_14 = e0) & ~ (all_57_21 =
% 194.23/30.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & op(e2, all_57_9) = all_57_8 & op(e2,
% 194.23/30.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_11) = all_57_10 & op(e2, all_57_13) =
% 194.23/30.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & op(e2, all_57_15) = all_57_14 &
% 194.23/30.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_9 & op(e2, e2) = all_57_11 &
% 194.23/30.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_57_13 & op(e2, e0) = all_57_15
% 194.23/30.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e1 & op(e1, e1) = all_57_21 &
% 194.23/30.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8) & $i(all_57_9) & $i(all_57_10) &
% 194.23/30.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_12) & $i(all_57_13) &
% 194.23/30.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & $i(all_57_15) & $i(all_57_21)) |
% 194.23/30.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (op(e0, e0) = all_57_31 & $i(all_57_31) &
% 194.23/30.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_23 = e1 & ~ (all_57_21 = e0) & ~
% 194.23/30.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 194.23/30.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) &
% 194.23/30.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_21 & op(e1, e0) = e1 &
% 194.23/30.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_25) = all_57_24 & op(e0,
% 194.23/30.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27) = all_57_26 & op(e0, all_57_29)
% 194.23/30.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_28 & op(e0, all_57_31) = all_57_30
% 194.23/30.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e3) = all_57_25 & op(e0, e2) =
% 194.23/30.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27 & op(e0, e1) = all_57_29 &
% 194.23/30.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_24) &
% 194.23/30.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_25) & $i(all_57_26) &
% 194.23/30.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27) & $i(all_57_28) &
% 194.23/30.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29) & $i(all_57_30)) | (all_57_25
% 194.23/30.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & ~ (all_57_0 = e3) & ~ (all_57_2 =
% 194.23/30.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_4 = e1) & ~ (all_57_6 =
% 194.23/30.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_31 = e3) & op(e3,
% 194.23/30.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1) = all_57_0 & op(e3, all_57_3) =
% 194.23/30.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_2 & op(e3, all_57_5) = all_57_4 &
% 194.23/30.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, all_57_7) = all_57_6 & op(e3, e3) =
% 194.23/30.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e2) = all_57_3 & op(e3,
% 194.23/30.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_5 & op(e3, e0) = all_57_7 &
% 194.23/30.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_0) &
% 194.23/30.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_2) & $i(all_57_3) &
% 194.23/30.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4) & $i(all_57_5) & $i(all_57_6) &
% 194.23/30.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7)) | (all_57_27 = e0 & ~
% 194.23/30.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e3) & ~ (all_57_10 = e2) & ~
% 194.23/30.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e1) & ~ (all_57_14 = e0) & ~
% 194.23/30.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e2) & op(e2, all_57_9) =
% 194.23/30.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_8 & op(e2, all_57_11) = all_57_10 &
% 194.23/30.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_13) = all_57_12 & op(e2,
% 194.23/30.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15) = all_57_14 & op(e2, e3) =
% 194.23/30.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_9 & op(e2, e2) = all_57_11 & op(e2,
% 194.23/30.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_13 & op(e2, e0) = all_57_15 &
% 194.23/30.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_8) &
% 194.23/30.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9) & $i(all_57_10) & $i(all_57_11)
% 194.23/30.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_12) & $i(all_57_13) &
% 194.23/30.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & $i(all_57_15)) | (all_57_29
% 194.23/30.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & ~ (all_57_16 = e3) & ~ (all_57_18 =
% 194.23/30.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_20 = e1) & ~ (all_57_22
% 194.23/30.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_31 = e1) & op(e1,
% 194.23/30.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17) = all_57_16 & op(e1, all_57_19)
% 194.23/30.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_18 & op(e1, all_57_21) = all_57_20
% 194.23/30.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, all_57_23) = all_57_22 & op(e1, e3)
% 194.23/30.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_17 & op(e1, e2) = all_57_19 &
% 194.23/30.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_21 & op(e1, e0) =
% 194.23/30.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23 & op(e0, e1) = e0 & $i(all_57_16)
% 194.23/30.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_17) & $i(all_57_18) &
% 194.23/30.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_20) &
% 194.23/30.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_22) &
% 194.23/30.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23))))
% 194.23/30.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2389) gives:
% 194.23/30.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 194.23/30.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2390) (all_57_13 = e2 & ~ (all_57_11 = e1) & ~
% 194.23/30.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_16 = e3) & ~ (all_57_18 = e2) & ~
% 194.23/30.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_22 = e0) & op(e2,
% 194.23/30.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_11 & op(e2, e1) = e2 & op(e1,
% 194.23/30.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17) = all_57_16 & op(e1, all_57_19) =
% 194.23/30.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_18 & op(e1, all_57_21) = all_57_20 &
% 194.23/30.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_23) = all_57_22 & op(e1, e3) =
% 194.23/30.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e1, e2) = all_57_19 & op(e1, e1)
% 194.23/30.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_21 & op(e1, e0) = all_57_23 &
% 194.23/30.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_16) & $i(all_57_17) &
% 194.23/30.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_19) & $i(all_57_20) &
% 194.23/30.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_22) & $i(all_57_23)) |
% 194.23/30.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e2 & ~ (all_57_11 = e0) & ~
% 194.23/30.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 194.23/30.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) & op(e2,
% 194.23/30.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_11 & op(e2, e0) = e2 & op(e0,
% 194.23/30.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25) = all_57_24 & op(e0, all_57_27) =
% 194.23/30.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e0, all_57_29) = all_57_28 &
% 194.23/30.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_31) = all_57_30 & op(e0, e3) =
% 194.23/30.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_27 & op(e0, e1)
% 194.23/30.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_29 & op(e0, e0) = all_57_31 &
% 194.23/30.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_24) & $i(all_57_25) &
% 194.23/30.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_27) & $i(all_57_28) &
% 194.23/30.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29) & $i(all_57_30) & $i(all_57_31))
% 194.23/30.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (1551), (2236), (2390), (function-axioms) are
% 194.23/30.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1481.
% 194.23/30.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 194.23/30.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2391) (all_57_17 = e1 & ~ (all_57_0 = e3) & ~
% 194.23/30.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e2) & ~ (all_57_4 = e1) & ~
% 194.23/30.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_6 = e0) & ~ (all_57_21 = e3) & op(e3,
% 194.23/30.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1) = all_57_0 & op(e3, all_57_3) =
% 194.23/30.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_2 & op(e3, all_57_5) = all_57_4 & op(e3,
% 194.23/30.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7) = all_57_6 & op(e3, e3) = all_57_1 &
% 194.23/30.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_3 & op(e3, e1) = all_57_5 &
% 194.23/30.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_7 & op(e1, e3) = e1 & op(e1,
% 194.23/30.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_21 & $i(all_57_0) & $i(all_57_1)
% 194.23/30.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_2) & $i(all_57_3) & $i(all_57_4) &
% 194.23/30.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 194.23/30.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21)) | (all_57_19 = e1 & ~ (all_57_8
% 194.23/30.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_10 = e2) & ~ (all_57_12 =
% 194.23/30.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_14 = e0) & ~ (all_57_21 =
% 194.23/30.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & op(e2, all_57_9) = all_57_8 & op(e2,
% 194.23/30.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_11) = all_57_10 & op(e2, all_57_13) =
% 194.23/30.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & op(e2, all_57_15) = all_57_14 &
% 194.23/30.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_9 & op(e2, e2) = all_57_11 &
% 194.23/30.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_57_13 & op(e2, e0) = all_57_15
% 194.23/30.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e1 & op(e1, e1) = all_57_21 &
% 194.23/30.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8) & $i(all_57_9) & $i(all_57_10) &
% 194.23/30.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_12) & $i(all_57_13) &
% 194.23/30.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & $i(all_57_15) & $i(all_57_21)) |
% 194.23/30.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (op(e0, e0) = all_57_31 & $i(all_57_31) &
% 194.23/30.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_23 = e1 & ~ (all_57_21 = e0) & ~
% 194.23/30.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 194.23/30.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) &
% 194.23/30.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_21 & op(e1, e0) = e1 &
% 194.23/30.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_25) = all_57_24 & op(e0,
% 194.23/30.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27) = all_57_26 & op(e0, all_57_29)
% 194.23/30.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_28 & op(e0, all_57_31) = all_57_30
% 194.23/30.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e3) = all_57_25 & op(e0, e2) =
% 194.23/30.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27 & op(e0, e1) = all_57_29 &
% 194.23/30.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_24) &
% 194.23/30.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_25) & $i(all_57_26) &
% 194.23/30.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27) & $i(all_57_28) &
% 194.23/30.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29) & $i(all_57_30)) | (all_57_25
% 194.23/30.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & ~ (all_57_0 = e3) & ~ (all_57_2 =
% 194.23/30.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_4 = e1) & ~ (all_57_6 =
% 194.23/30.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_31 = e3) & op(e3,
% 194.23/30.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1) = all_57_0 & op(e3, all_57_3) =
% 194.23/30.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_2 & op(e3, all_57_5) = all_57_4 &
% 194.23/30.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, all_57_7) = all_57_6 & op(e3, e3) =
% 194.23/30.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e2) = all_57_3 & op(e3,
% 194.23/30.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_5 & op(e3, e0) = all_57_7 &
% 194.23/30.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_0) &
% 194.23/30.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_2) & $i(all_57_3) &
% 194.23/30.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4) & $i(all_57_5) & $i(all_57_6) &
% 194.23/30.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7)) | (all_57_27 = e0 & ~
% 194.23/30.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e3) & ~ (all_57_10 = e2) & ~
% 194.23/30.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e1) & ~ (all_57_14 = e0) & ~
% 194.23/30.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e2) & op(e2, all_57_9) =
% 194.23/30.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_8 & op(e2, all_57_11) = all_57_10 &
% 194.23/30.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_13) = all_57_12 & op(e2,
% 194.23/30.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15) = all_57_14 & op(e2, e3) =
% 194.23/30.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_9 & op(e2, e2) = all_57_11 & op(e2,
% 194.23/30.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_13 & op(e2, e0) = all_57_15 &
% 194.23/30.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_8) &
% 194.23/30.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9) & $i(all_57_10) & $i(all_57_11)
% 194.23/30.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_12) & $i(all_57_13) &
% 194.23/30.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & $i(all_57_15)) | (all_57_29
% 194.23/30.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & ~ (all_57_16 = e3) & ~ (all_57_18 =
% 194.23/30.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_20 = e1) & ~ (all_57_22
% 194.23/30.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_31 = e1) & op(e1,
% 194.23/30.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17) = all_57_16 & op(e1, all_57_19)
% 194.23/30.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_18 & op(e1, all_57_21) = all_57_20
% 194.23/30.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, all_57_23) = all_57_22 & op(e1, e3)
% 194.23/30.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_17 & op(e1, e2) = all_57_19 &
% 194.23/30.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_21 & op(e1, e0) =
% 194.23/30.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23 & op(e0, e1) = e0 & $i(all_57_16)
% 194.23/30.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_17) & $i(all_57_18) &
% 194.23/30.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_20) &
% 194.23/30.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_22) &
% 194.23/30.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23))))
% 194.23/30.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2391) gives:
% 194.23/30.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 194.23/30.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2392) all_57_17 = e1 & ~ (all_57_0 = e3) & ~ (all_57_2
% 194.23/30.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2) & ~ (all_57_4 = e1) & ~ (all_57_6 = e0)
% 194.23/30.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_21 = e3) & op(e3, all_57_1) =
% 194.23/30.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_0 & op(e3, all_57_3) = all_57_2 & op(e3,
% 194.23/30.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_5) = all_57_4 & op(e3, all_57_7) =
% 194.23/30.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_6 & op(e3, e3) = all_57_1 & op(e3, e2) =
% 194.23/30.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 & op(e3, e1) = all_57_5 & op(e3, e0) =
% 194.23/30.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7 & op(e1, e3) = e1 & op(e1, e1) =
% 194.23/30.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_21 & $i(all_57_0) & $i(all_57_1) &
% 194.23/30.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_2) & $i(all_57_3) & $i(all_57_4) &
% 194.23/30.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 194.23/30.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21)
% 194.23/30.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2392) implies:
% 194.23/30.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2393) op(e1, e3) = e1
% 194.23/30.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (163), (2230), (2393), (function-axioms) are
% 194.23/30.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1939.
% 194.23/30.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 194.23/30.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2394) (all_57_19 = e1 & ~ (all_57_8 = e3) & ~
% 194.23/30.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e2) & ~ (all_57_12 = e1) & ~
% 194.23/30.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e0) & ~ (all_57_21 = e2) & op(e2,
% 194.23/30.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_9) = all_57_8 & op(e2, all_57_11) =
% 194.23/30.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e2, all_57_13) = all_57_12 &
% 194.23/30.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_15) = all_57_14 & op(e2, e3) =
% 194.23/30.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_9 & op(e2, e2) = all_57_11 & op(e2, e1) =
% 194.23/30.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_13 & op(e2, e0) = all_57_15 & op(e1, e2)
% 194.23/30.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & op(e1, e1) = all_57_21 & $i(all_57_8) &
% 194.23/30.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9) & $i(all_57_10) & $i(all_57_11) &
% 194.23/30.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & $i(all_57_13) & $i(all_57_14) &
% 194.23/30.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & $i(all_57_21)) | (op(e0, e0) =
% 194.23/30.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_31 & $i(all_57_31) & ((all_57_23 = e1 &
% 194.23/30.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_21 = e0) & ~ (all_57_24 = e3) &
% 194.23/30.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_26 = e2) & ~ (all_57_28 = e1) &
% 194.23/30.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_30 = e0) & op(e1, e1) = all_57_21
% 194.23/30.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e0) = e1 & op(e0, all_57_25) =
% 194.23/30.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_24 & op(e0, all_57_27) = all_57_26 &
% 194.23/30.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_29) = all_57_28 & op(e0,
% 194.23/30.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_31) = all_57_30 & op(e0, e3) =
% 194.23/30.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_27 & op(e0,
% 194.23/30.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_29 & $i(all_57_21) &
% 194.23/30.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_24) & $i(all_57_25) &
% 194.23/30.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_27) &
% 194.23/30.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28) & $i(all_57_29) &
% 194.23/30.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_25 = e0 & ~
% 194.23/30.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_0 = e3) & ~ (all_57_2 = e2) & ~
% 194.23/30.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1) & ~ (all_57_6 = e0) & ~
% 194.23/30.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e3) & op(e3, all_57_1) =
% 194.23/30.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_0 & op(e3, all_57_3) = all_57_2 &
% 194.23/30.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, all_57_5) = all_57_4 & op(e3,
% 194.23/30.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7) = all_57_6 & op(e3, e3) =
% 194.23/30.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e2) = all_57_3 & op(e3,
% 194.23/30.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_5 & op(e3, e0) = all_57_7 &
% 194.23/30.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_0) &
% 194.23/30.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_2) & $i(all_57_3) &
% 194.23/30.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4) & $i(all_57_5) & $i(all_57_6) &
% 194.23/30.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7)) | (all_57_27 = e0 & ~
% 194.23/30.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e3) & ~ (all_57_10 = e2) & ~
% 194.23/30.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e1) & ~ (all_57_14 = e0) & ~
% 194.23/30.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e2) & op(e2, all_57_9) =
% 194.23/30.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_8 & op(e2, all_57_11) = all_57_10 &
% 194.23/30.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_13) = all_57_12 & op(e2,
% 194.23/30.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15) = all_57_14 & op(e2, e3) =
% 194.23/30.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_9 & op(e2, e2) = all_57_11 & op(e2,
% 194.23/30.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_13 & op(e2, e0) = all_57_15 &
% 194.23/30.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_8) &
% 194.23/30.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9) & $i(all_57_10) & $i(all_57_11)
% 194.23/30.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_12) & $i(all_57_13) &
% 194.23/30.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & $i(all_57_15)) | (all_57_29
% 194.23/30.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & ~ (all_57_16 = e3) & ~ (all_57_18 =
% 194.23/30.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_20 = e1) & ~ (all_57_22
% 194.23/30.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_31 = e1) & op(e1,
% 194.23/30.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17) = all_57_16 & op(e1, all_57_19)
% 194.23/30.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_18 & op(e1, all_57_21) = all_57_20
% 194.23/30.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, all_57_23) = all_57_22 & op(e1, e3)
% 194.23/30.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_17 & op(e1, e2) = all_57_19 &
% 194.23/30.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_21 & op(e1, e0) =
% 194.23/30.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23 & op(e0, e1) = e0 & $i(all_57_16)
% 194.23/30.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_17) & $i(all_57_18) &
% 194.23/30.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_20) &
% 194.23/30.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_22) &
% 194.23/30.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23))))
% 194.23/30.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2394) gives:
% 194.23/30.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 194.23/30.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2395) all_57_19 = e1 & ~ (all_57_8 = e3) & ~
% 194.23/30.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e2) & ~ (all_57_12 = e1) & ~
% 194.23/30.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e0) & ~ (all_57_21 = e2) & op(e2,
% 194.23/30.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_9) = all_57_8 & op(e2, all_57_11) =
% 194.23/30.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e2, all_57_13) = all_57_12 & op(e2,
% 194.23/30.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15) = all_57_14 & op(e2, e3) = all_57_9 &
% 194.23/30.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_11 & op(e2, e1) = all_57_13 &
% 194.23/30.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_15 & op(e1, e2) = e1 & op(e1,
% 194.23/30.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_21 & $i(all_57_8) & $i(all_57_9) &
% 194.23/30.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & $i(all_57_11) & $i(all_57_12) &
% 194.23/30.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13) & $i(all_57_14) & $i(all_57_15) &
% 194.23/30.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21)
% 194.23/30.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2395) implies:
% 194.23/30.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2396) op(e1, e2) = e1
% 194.23/30.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (162), (2378), (2396), (function-axioms) are
% 194.23/30.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1733.
% 194.23/30.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 194.23/30.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2397) op(e0, e0) = all_57_31 & $i(all_57_31) &
% 194.23/30.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_23 = e1 & ~ (all_57_21 = e0) & ~
% 194.23/30.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 194.23/30.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) &
% 194.23/30.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_21 & op(e1, e0) = e1 &
% 194.23/30.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_25) = all_57_24 & op(e0,
% 194.23/30.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27) = all_57_26 & op(e0, all_57_29) =
% 194.23/30.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_28 & op(e0, all_57_31) = all_57_30 &
% 194.23/30.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_25 & op(e0, e2) =
% 194.23/30.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27 & op(e0, e1) = all_57_29 &
% 194.23/30.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_24) & $i(all_57_25)
% 194.23/30.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_26) & $i(all_57_27) &
% 194.23/30.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28) & $i(all_57_29) & $i(all_57_30))
% 194.23/30.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_25 = e0 & ~ (all_57_0 = e3) & ~
% 194.23/30.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e2) & ~ (all_57_4 = e1) & ~
% 194.23/30.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_6 = e0) & ~ (all_57_31 = e3) & op(e3,
% 194.23/30.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1) = all_57_0 & op(e3, all_57_3) =
% 194.23/30.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_2 & op(e3, all_57_5) = all_57_4 &
% 194.23/30.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, all_57_7) = all_57_6 & op(e3, e3) =
% 194.23/30.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e2) = all_57_3 & op(e3, e1)
% 194.23/30.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_5 & op(e3, e0) = all_57_7 & op(e0,
% 194.23/30.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e0 & $i(all_57_0) & $i(all_57_1) &
% 194.23/30.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_2) & $i(all_57_3) & $i(all_57_4) &
% 194.23/30.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_6) & $i(all_57_7)) |
% 194.23/30.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_27 = e0 & ~ (all_57_8 = e3) & ~
% 194.23/30.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e2) & ~ (all_57_12 = e1) & ~
% 194.23/30.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e0) & ~ (all_57_31 = e2) &
% 194.23/30.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_9) = all_57_8 & op(e2,
% 194.23/30.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_11) = all_57_10 & op(e2, all_57_13) =
% 194.23/30.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & op(e2, all_57_15) = all_57_14 &
% 194.23/30.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_9 & op(e2, e2) = all_57_11
% 194.23/30.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = all_57_13 & op(e2, e0) =
% 194.23/30.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15 & op(e0, e2) = e0 & $i(all_57_8) &
% 194.23/30.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9) & $i(all_57_10) & $i(all_57_11) &
% 194.23/30.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & $i(all_57_13) & $i(all_57_14)
% 194.23/30.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_15)) | (all_57_29 = e0 & ~
% 194.23/30.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_16 = e3) & ~ (all_57_18 = e2) & ~
% 194.23/30.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_22 = e0) & ~
% 194.23/30.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e1) & op(e1, all_57_17) =
% 194.23/30.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_16 & op(e1, all_57_19) = all_57_18 &
% 194.23/30.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_21) = all_57_20 & op(e1,
% 194.23/30.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23) = all_57_22 & op(e1, e3) =
% 194.23/30.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e1, e2) = all_57_19 & op(e1,
% 194.23/30.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_21 & op(e1, e0) = all_57_23 &
% 194.23/30.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_16) &
% 194.23/30.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_17) & $i(all_57_18) & $i(all_57_19)
% 194.23/30.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_20) & $i(all_57_21) &
% 194.23/30.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_23)))
% 194.23/30.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (158), (159), (160), (1546), (2233), (2236),
% 194.23/30.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2307), (2397), (function-axioms) are inconsistent
% 194.23/30.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1369.
% 194.23/30.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 194.23/30.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 194.23/30.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 194.23/30.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 194.23/30.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 194.23/30.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2398) all_54_6 = e1 | all_54_6 = e0
% 194.23/30.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (261), (1547), (2232), (2398) are inconsistent by
% 194.23/30.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1366.
% 194.23/30.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 194.23/30.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 194.23/30.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2399) all_56_13 = e3 & op(e0, e2) = e3
% 194.23/30.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2399) implies:
% 194.23/30.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2400) all_56_13 = e3
% 194.23/30.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2373), (2400) imply:
% 194.23/30.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2401) e3 = e1
% 194.23/30.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2401) implies:
% 194.23/30.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2402) e3 = e1
% 194.23/30.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2377), (2402) imply:
% 194.23/30.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2403) all_56_7 = e1
% 194.23/30.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8), (9), (228), (1551), (2367), (2373),
% 194.23/30.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2403), (function-axioms) are inconsistent by
% 194.23/30.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1365.
% 194.23/30.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 194.23/30.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 194.23/30.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2404) (all_56_14 = e3 & op(e0, e1) = e3) | (all_56_15 =
% 194.23/30.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = e3)
% 194.23/30.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2404) gives:
% 194.23/30.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 194.23/30.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2405) all_56_14 = e3 & op(e0, e1) = e3
% 194.23/30.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2405) implies:
% 194.23/30.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2406) all_56_14 = e3
% 194.23/30.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (2316), (2406) are inconsistent by sub-proof
% 194.23/30.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1404.
% 194.23/30.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 194.23/30.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2407) all_56_15 = e3 & op(e0, e0) = e3
% 194.23/30.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2407) implies:
% 194.23/30.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2408) op(e0, e0) = e3
% 194.23/30.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (160), (206), (210),
% 194.23/30.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (211), (2201), (2355), (2408), (function-axioms)
% 194.23/30.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1526.
% 194.23/30.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 194.23/30.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 194.23/30.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 194.23/30.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2409) all_56_13 = e3 & op(e0, e2) = e3
% 194.23/30.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2409) implies:
% 194.23/30.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2410) all_56_13 = e3
% 194.23/30.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2373), (2410) imply:
% 194.23/30.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2411) e3 = e1
% 194.23/30.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2411) implies:
% 194.23/30.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2412) e3 = e1
% 194.23/30.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2355), (2412) imply:
% 194.23/30.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2413) all_56_10 = e1
% 194.23/30.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8), (9), (168), (212), (2204), (2323),
% 194.23/30.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2334), (2413), (function-axioms) are inconsistent
% 194.23/30.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1362.
% 194.23/30.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 194.23/30.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 194.23/30.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 194.23/30.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 194.23/30.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 194.23/30.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 194.23/30.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2414) (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_9 = e2
% 194.23/30.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e2)
% 194.23/30.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2414) gives:
% 194.23/30.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 194.23/30.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2415) all_56_4 = e2 & op(e3, e1) = e2
% 194.23/30.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2415) implies:
% 194.23/30.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2416) all_56_4 = e2
% 194.23/30.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2358), (2416) imply:
% 194.23/30.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2417) e3 = e2
% 194.23/30.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2355), (2417) imply:
% 194.23/30.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2418) all_56_10 = e2
% 194.23/30.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8), (9), (45), (212), (376), (2323), (2350),
% 194.23/30.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2418), (function-axioms) are inconsistent by
% 194.23/30.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1704.
% 194.23/30.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 194.23/30.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2419) all_56_9 = e2 & op(e3, e0) = e2
% 194.23/30.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (168), (2199), (2419), (function-axioms) are
% 194.23/30.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1760.
% 194.23/30.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 194.23/30.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 194.23/30.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 194.23/30.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2420) all_54_3 = e0
% 194.23/30.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (270), (2327), (2420) are inconsistent by
% 194.23/30.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1764.
% 194.23/30.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 194.23/30.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 194.23/30.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2421) all_56_5 = e3 & op(e2, e1) = e3
% 194.23/30.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (222), (223), (224),
% 194.23/30.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1551), (2355), (2421), (function-axioms) are
% 194.23/30.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1361.
% 194.23/30.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 194.23/30.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 194.23/30.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2422) (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 =
% 194.23/30.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e1) = e3)
% 194.23/30.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2422) gives:
% 194.23/30.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 194.23/30.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2423) all_56_8 = e3 & op(e1, e1) = e3
% 194.23/30.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2423) implies:
% 194.23/30.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2424) op(e1, e1) = e3
% 194.23/30.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (2236), (2424), (function-axioms) are
% 194.23/30.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1958.
% 194.23/30.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 194.23/30.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2425) all_56_14 = e3 & op(e0, e1) = e3
% 194.23/30.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (2316), (2425) are inconsistent by sub-proof
% 194.23/30.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1543.
% 194.23/30.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 194.23/30.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 194.23/30.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 194.23/30.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 194.23/30.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2426) (all_56_11 = e3 & op(e1, e0) = e3) | (all_56_15 =
% 194.23/30.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = e3)
% 194.23/30.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (9), (2204), (2323), (2426),
% 194.23/30.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 194.23/30.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1363.
% 194.23/30.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 194.23/30.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 194.23/30.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2427) all_56_10 = e1 & op(e2, e0) = e1
% 194.23/30.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2427) implies:
% 194.23/30.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2428) all_56_10 = e1
% 194.23/30.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (212) gives:
% 194.23/30.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 194.23/30.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2429) (all_56_9 = e3 & op(e3, e0) = e3) | (all_56_10 =
% 194.23/30.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e0) = e3)
% 194.23/30.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (168), (2334), (2428), (2429),
% 194.23/30.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 194.23/30.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1364.
% 194.23/30.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 194.23/30.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2430) (all_56_11 = e3 & op(e1, e0) = e3) | (all_56_15 =
% 194.23/30.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = e3)
% 194.23/30.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (9), (2204), (2323), (2430),
% 194.23/30.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 194.23/30.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1363.
% 194.23/30.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 194.23/30.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 194.23/30.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 194.23/30.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2431) (all_56_11 = e1 & op(e1, e0) = e1) | (all_56_15 =
% 194.23/30.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = e1)
% 194.23/30.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (2204), (2324), (2431),
% 194.23/30.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 194.23/30.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1360.
% 194.23/30.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 194.23/30.62 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.62 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 194.23/30.62 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.62 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 194.23/30.62 | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.62 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 194.23/30.62 | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.62 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 194.23/30.62 | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.62 | | | | | | | | | | | | | | | | | | | | | | | | (2432) all_54_7 = e2 | all_54_7 = e1 | all_54_7 = e0
% 194.23/30.62 | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.62 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2432) gives:
% 194.23/30.62 | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.62 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 194.23/30.62 | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.62 | | | | | | | | | | | | | | | | | | | | | | | | | (2433) all_54_7 = e2
% 194.23/30.62 | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.62 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2213), (2218), (2433) are inconsistent by
% 194.23/30.62 | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1359.
% 194.23/30.62 | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.62 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 194.23/30.62 | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.62 | | | | | | | | | | | | | | | | | | | | | | | | | (2434) all_54_7 = e1 | all_54_7 = e0
% 194.23/30.62 | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.62 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2434) gives:
% 194.23/30.62 | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.62 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 194.23/30.62 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.62 | | | | | | | | | | | | | | | | | | | | | | | | | | (2435) all_54_7 = e1
% 194.23/30.62 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.62 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2213), (2435) imply:
% 194.23/30.62 | | | | | | | | | | | | | | | | | | | | | | | | | | (2436) all_30_1 = e1
% 194.23/30.62 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.62 | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2436) implies:
% 194.23/30.62 | | | | | | | | | | | | | | | | | | | | | | | | | | (2437) all_30_1 = e1
% 194.23/30.62 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.62 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2215), (2437) imply:
% 194.23/30.62 | | | | | | | | | | | | | | | | | | | | | | | | | | (2438) ~ (all_52_12 = e1)
% 194.23/30.62 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.62 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (201) gives:
% 194.23/30.62 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.62 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 194.23/30.62 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2439) all_54_3 = e3
% 194.23/30.62 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (270), (2439) imply:
% 194.23/30.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2440) all_52_12 = e3
% 194.23/30.62 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (133), (2440) imply:
% 194.23/30.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2441) ~ (all_52_4 = e3)
% 194.23/30.62 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (168), (2440) imply:
% 194.23/30.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2442) op(e3, e0) = e3
% 194.23/30.62 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (238) gives:
% 194.23/30.62 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 194.23/30.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2443) (all_57_3 = e3 & ~ (all_57_1 = e2) & ~ (all_57_8
% 194.23/30.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_10 = e2) & ~ (all_57_12 =
% 194.23/30.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_14 = e0) & op(e3, e3) =
% 194.23/30.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e2) = e3 & op(e2, all_57_9) =
% 194.23/30.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_8 & op(e2, all_57_11) = all_57_10 &
% 194.23/30.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_13) = all_57_12 & op(e2,
% 194.23/30.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15) = all_57_14 & op(e2, e3) = all_57_9
% 194.23/30.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = all_57_11 & op(e2, e1) =
% 194.23/30.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_13 & op(e2, e0) = all_57_15 &
% 194.23/30.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_8) & $i(all_57_9) &
% 194.23/30.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & $i(all_57_11) & $i(all_57_12) &
% 194.23/30.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13) & $i(all_57_14) & $i(all_57_15)) |
% 194.23/30.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_5 = e3 & ~ (all_57_1 = e1) & ~
% 194.23/30.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_16 = e3) & ~ (all_57_18 = e2) & ~
% 194.23/30.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_22 = e0) & op(e3,
% 194.23/30.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_1 & op(e3, e1) = e3 & op(e1,
% 194.23/30.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17) = all_57_16 & op(e1, all_57_19) =
% 194.23/30.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_18 & op(e1, all_57_21) = all_57_20 &
% 194.23/30.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_23) = all_57_22 & op(e1, e3) =
% 194.23/30.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e1, e2) = all_57_19 & op(e1, e1)
% 194.23/30.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_21 & op(e1, e0) = all_57_23 &
% 194.23/30.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_16) & $i(all_57_17) &
% 194.23/30.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_19) & $i(all_57_20) &
% 194.23/30.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_22) & $i(all_57_23)) |
% 194.23/30.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_7 = e3 & ~ (all_57_1 = e0) & ~
% 194.23/30.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 194.23/30.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) & op(e3,
% 194.23/30.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_1 & op(e3, e0) = e3 & op(e0,
% 194.23/30.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25) = all_57_24 & op(e0, all_57_27) =
% 194.23/30.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e0, all_57_29) = all_57_28 &
% 194.23/30.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_31) = all_57_30 & op(e0, e3) =
% 194.23/30.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_27 & op(e0, e1)
% 194.23/30.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_29 & op(e0, e0) = all_57_31 &
% 194.23/30.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_24) & $i(all_57_25) &
% 194.23/30.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_27) & $i(all_57_28) &
% 194.23/30.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29) & $i(all_57_30) & $i(all_57_31)) |
% 194.23/30.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e2 & ~ (all_57_0 = e3) & ~ (all_57_2
% 194.23/30.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2) & ~ (all_57_4 = e1) & ~ (all_57_6 =
% 194.23/30.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_11 = e3) & op(e3, all_57_1) =
% 194.23/30.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_0 & op(e3, all_57_3) = all_57_2 & op(e3,
% 194.23/30.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_5) = all_57_4 & op(e3, all_57_7) =
% 194.23/30.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_6 & op(e3, e3) = all_57_1 & op(e3, e2) =
% 194.23/30.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 & op(e3, e1) = all_57_5 & op(e3, e0) =
% 194.23/30.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7 & op(e2, e3) = e2 & op(e2, e2) =
% 194.23/30.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_11 & $i(all_57_0) & $i(all_57_1) &
% 194.23/30.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_2) & $i(all_57_3) & $i(all_57_4) &
% 194.23/30.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 194.23/30.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11))
% 194.23/30.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2443) gives:
% 194.23/30.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 194.23/30.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2444) (all_57_3 = e3 & ~ (all_57_1 = e2) & ~ (all_57_8
% 194.23/30.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_10 = e2) & ~ (all_57_12 =
% 194.23/30.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_14 = e0) & op(e3, e3) =
% 194.23/30.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e2) = e3 & op(e2, all_57_9) =
% 194.23/30.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_8 & op(e2, all_57_11) = all_57_10 &
% 194.23/30.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_13) = all_57_12 & op(e2,
% 194.23/30.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15) = all_57_14 & op(e2, e3) = all_57_9
% 194.23/30.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = all_57_11 & op(e2, e1) =
% 194.23/30.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_13 & op(e2, e0) = all_57_15 &
% 194.23/30.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_8) & $i(all_57_9) &
% 194.23/30.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & $i(all_57_11) & $i(all_57_12) &
% 194.23/30.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13) & $i(all_57_14) & $i(all_57_15)) |
% 194.23/30.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_5 = e3 & ~ (all_57_1 = e1) & ~
% 194.23/30.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_16 = e3) & ~ (all_57_18 = e2) & ~
% 194.23/30.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_22 = e0) & op(e3,
% 194.23/30.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_1 & op(e3, e1) = e3 & op(e1,
% 194.23/30.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17) = all_57_16 & op(e1, all_57_19) =
% 194.23/30.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_18 & op(e1, all_57_21) = all_57_20 &
% 194.23/30.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_23) = all_57_22 & op(e1, e3) =
% 194.23/30.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e1, e2) = all_57_19 & op(e1, e1)
% 194.23/30.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_21 & op(e1, e0) = all_57_23 &
% 194.23/30.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_16) & $i(all_57_17) &
% 194.23/30.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_19) & $i(all_57_20) &
% 194.23/30.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_22) & $i(all_57_23))
% 194.23/30.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (170), (2236), (2441), (2444), (function-axioms)
% 194.23/30.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1484.
% 194.23/30.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 194.23/30.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2445) (all_57_7 = e3 & ~ (all_57_1 = e0) & ~
% 194.23/30.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 194.23/30.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) & op(e3,
% 194.23/30.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_1 & op(e3, e0) = e3 & op(e0,
% 194.23/30.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25) = all_57_24 & op(e0, all_57_27) =
% 194.23/30.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e0, all_57_29) = all_57_28 &
% 194.23/30.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_31) = all_57_30 & op(e0, e3) =
% 194.23/30.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_27 & op(e0, e1)
% 194.23/30.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_29 & op(e0, e0) = all_57_31 &
% 194.23/30.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_24) & $i(all_57_25) &
% 194.23/30.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_27) & $i(all_57_28) &
% 194.23/30.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29) & $i(all_57_30) & $i(all_57_31)) |
% 194.23/30.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e2 & ~ (all_57_0 = e3) & ~ (all_57_2
% 194.23/30.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2) & ~ (all_57_4 = e1) & ~ (all_57_6 =
% 194.23/30.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_11 = e3) & op(e3, all_57_1) =
% 194.23/30.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_0 & op(e3, all_57_3) = all_57_2 & op(e3,
% 194.23/30.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_5) = all_57_4 & op(e3, all_57_7) =
% 194.23/30.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_6 & op(e3, e3) = all_57_1 & op(e3, e2) =
% 194.23/30.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 & op(e3, e1) = all_57_5 & op(e3, e0) =
% 194.23/30.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7 & op(e2, e3) = e2 & op(e2, e2) =
% 194.23/30.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_11 & $i(all_57_0) & $i(all_57_1) &
% 194.23/30.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_2) & $i(all_57_3) & $i(all_57_4) &
% 194.23/30.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 194.23/30.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11))
% 194.23/30.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2445) gives:
% 194.23/30.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 194.23/30.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2446) all_57_7 = e3 & ~ (all_57_1 = e0) & ~ (all_57_24
% 194.23/30.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_26 = e2) & ~ (all_57_28 =
% 194.23/30.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_30 = e0) & op(e3, e3) =
% 194.23/30.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e0) = e3 & op(e0, all_57_25) =
% 194.23/30.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_24 & op(e0, all_57_27) = all_57_26 & op(e0,
% 194.23/30.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_29) = all_57_28 & op(e0, all_57_31) =
% 194.23/30.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30 & op(e0, e3) = all_57_25 & op(e0, e2) =
% 194.23/30.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27 & op(e0, e1) = all_57_29 & op(e0, e0) =
% 194.23/30.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_31 & $i(all_57_1) & $i(all_57_24) &
% 194.23/30.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_25) & $i(all_57_26) & $i(all_57_27) &
% 194.23/30.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28) & $i(all_57_29) & $i(all_57_30) &
% 194.23/30.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_31)
% 194.23/30.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2310), (2446), (function-axioms) are inconsistent
% 194.23/30.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1902.
% 194.23/30.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 194.23/30.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2447) all_57_9 = e2 & ~ (all_57_0 = e3) & ~ (all_57_2
% 194.23/30.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2) & ~ (all_57_4 = e1) & ~ (all_57_6 = e0)
% 194.23/30.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_11 = e3) & op(e3, all_57_1) =
% 194.23/30.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_0 & op(e3, all_57_3) = all_57_2 & op(e3,
% 194.23/30.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_5) = all_57_4 & op(e3, all_57_7) =
% 194.23/30.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_6 & op(e3, e3) = all_57_1 & op(e3, e2) =
% 194.23/30.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 & op(e3, e1) = all_57_5 & op(e3, e0) =
% 194.23/30.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7 & op(e2, e3) = e2 & op(e2, e2) =
% 194.23/30.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_11 & $i(all_57_0) & $i(all_57_1) &
% 194.23/30.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_2) & $i(all_57_3) & $i(all_57_4) &
% 194.23/30.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 194.23/30.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11)
% 194.23/30.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2447) implies:
% 194.23/30.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2448) ~ (all_57_6 = e0)
% 194.23/30.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2449) op(e3, e0) = all_57_7
% 194.23/30.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2450) op(e3, e3) = all_57_1
% 194.23/30.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2451) op(e3, all_57_7) = all_57_6
% 194.23/30.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2310), (2442), (2448), (2449), (2450), (2451),
% 194.23/30.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 194.23/30.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1832.
% 194.23/30.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 194.23/30.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 194.23/30.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 194.23/30.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2452) (all_57_13 = e2 & ~ (all_57_11 = e1) & ~
% 194.23/30.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_16 = e3) & ~ (all_57_18 = e2) & ~
% 194.23/30.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_22 = e0) & op(e2,
% 194.23/30.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_11 & op(e2, e1) = e2 & op(e1,
% 194.23/30.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17) = all_57_16 & op(e1, all_57_19) =
% 194.23/30.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_18 & op(e1, all_57_21) = all_57_20 &
% 194.23/30.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_23) = all_57_22 & op(e1, e3) =
% 194.23/30.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e1, e2) = all_57_19 & op(e1, e1)
% 194.23/30.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_21 & op(e1, e0) = all_57_23 &
% 194.23/30.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_16) & $i(all_57_17) &
% 194.23/30.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_19) & $i(all_57_20) &
% 194.23/30.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_22) & $i(all_57_23)) |
% 194.23/30.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e2 & ~ (all_57_11 = e0) & ~
% 194.23/30.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 194.23/30.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) & op(e2,
% 194.23/30.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_11 & op(e2, e0) = e2 & op(e0,
% 194.23/30.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25) = all_57_24 & op(e0, all_57_27) =
% 194.23/30.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e0, all_57_29) = all_57_28 &
% 194.23/30.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_31) = all_57_30 & op(e0, e3) =
% 194.23/30.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_27 & op(e0, e1)
% 194.23/30.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_29 & op(e0, e0) = all_57_31 &
% 194.23/30.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_24) & $i(all_57_25) &
% 194.23/30.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_27) & $i(all_57_28) &
% 194.23/30.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29) & $i(all_57_30) & $i(all_57_31)) |
% 194.23/30.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_17 = e1 & ~ (all_57_0 = e3) & ~
% 194.23/30.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e2) & ~ (all_57_4 = e1) & ~
% 194.23/30.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_6 = e0) & ~ (all_57_21 = e3) & op(e3,
% 194.23/30.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1) = all_57_0 & op(e3, all_57_3) =
% 194.23/30.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_2 & op(e3, all_57_5) = all_57_4 & op(e3,
% 194.23/30.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7) = all_57_6 & op(e3, e3) = all_57_1 &
% 194.23/30.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_3 & op(e3, e1) = all_57_5 &
% 194.23/30.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_7 & op(e1, e3) = e1 & op(e1,
% 194.23/30.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_21 & $i(all_57_0) & $i(all_57_1)
% 194.23/30.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_2) & $i(all_57_3) & $i(all_57_4) &
% 194.23/30.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 194.23/30.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21)) | (all_57_19 = e1 & ~ (all_57_8
% 194.23/30.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_10 = e2) & ~ (all_57_12 =
% 194.23/30.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_14 = e0) & ~ (all_57_21 =
% 194.23/30.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & op(e2, all_57_9) = all_57_8 & op(e2,
% 194.23/30.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_11) = all_57_10 & op(e2, all_57_13) =
% 194.23/30.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & op(e2, all_57_15) = all_57_14 &
% 194.23/30.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_9 & op(e2, e2) = all_57_11 &
% 194.23/30.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_57_13 & op(e2, e0) = all_57_15
% 194.23/30.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e1 & op(e1, e1) = all_57_21 &
% 194.23/30.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8) & $i(all_57_9) & $i(all_57_10) &
% 194.23/30.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_12) & $i(all_57_13) &
% 194.23/30.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & $i(all_57_15) & $i(all_57_21)) |
% 194.23/30.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (op(e0, e0) = all_57_31 & $i(all_57_31) &
% 194.23/30.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_23 = e1 & ~ (all_57_21 = e0) & ~
% 194.23/30.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 194.23/30.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) &
% 194.23/30.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_21 & op(e1, e0) = e1 &
% 194.23/30.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_25) = all_57_24 & op(e0,
% 194.23/30.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27) = all_57_26 & op(e0, all_57_29)
% 194.23/30.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_28 & op(e0, all_57_31) = all_57_30
% 194.23/30.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e3) = all_57_25 & op(e0, e2) =
% 194.23/30.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27 & op(e0, e1) = all_57_29 &
% 194.23/30.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_24) &
% 194.23/30.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_25) & $i(all_57_26) &
% 194.23/30.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27) & $i(all_57_28) &
% 194.23/30.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29) & $i(all_57_30)) | (all_57_25
% 194.23/30.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & ~ (all_57_0 = e3) & ~ (all_57_2 =
% 194.23/30.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_4 = e1) & ~ (all_57_6 =
% 194.23/30.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_31 = e3) & op(e3,
% 194.23/30.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1) = all_57_0 & op(e3, all_57_3) =
% 194.23/30.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_2 & op(e3, all_57_5) = all_57_4 &
% 194.23/30.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, all_57_7) = all_57_6 & op(e3, e3) =
% 194.23/30.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e2) = all_57_3 & op(e3,
% 194.23/30.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_5 & op(e3, e0) = all_57_7 &
% 194.23/30.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_0) &
% 194.23/30.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_2) & $i(all_57_3) &
% 194.23/30.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4) & $i(all_57_5) & $i(all_57_6) &
% 194.23/30.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7)) | (all_57_27 = e0 & ~
% 194.23/30.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e3) & ~ (all_57_10 = e2) & ~
% 194.23/30.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e1) & ~ (all_57_14 = e0) & ~
% 194.23/30.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e2) & op(e2, all_57_9) =
% 194.23/30.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_8 & op(e2, all_57_11) = all_57_10 &
% 194.23/30.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_13) = all_57_12 & op(e2,
% 194.23/30.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15) = all_57_14 & op(e2, e3) =
% 194.23/30.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_9 & op(e2, e2) = all_57_11 & op(e2,
% 194.23/30.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_13 & op(e2, e0) = all_57_15 &
% 194.23/30.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_8) &
% 194.23/30.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9) & $i(all_57_10) & $i(all_57_11)
% 194.23/30.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_12) & $i(all_57_13) &
% 194.23/30.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & $i(all_57_15)) | (all_57_29
% 194.23/30.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & ~ (all_57_16 = e3) & ~ (all_57_18 =
% 194.23/30.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_20 = e1) & ~ (all_57_22
% 194.23/30.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_31 = e1) & op(e1,
% 194.23/30.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17) = all_57_16 & op(e1, all_57_19)
% 194.23/30.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_18 & op(e1, all_57_21) = all_57_20
% 194.23/30.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, all_57_23) = all_57_22 & op(e1, e3)
% 194.23/30.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_17 & op(e1, e2) = all_57_19 &
% 194.23/30.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_21 & op(e1, e0) =
% 194.23/30.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23 & op(e0, e1) = e0 & $i(all_57_16)
% 194.23/30.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_17) & $i(all_57_18) &
% 194.23/30.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_20) &
% 194.23/30.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_22) &
% 194.23/30.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23))))
% 194.23/30.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2452) gives:
% 194.23/30.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 194.23/30.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2453) (all_57_13 = e2 & ~ (all_57_11 = e1) & ~
% 194.23/30.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_16 = e3) & ~ (all_57_18 = e2) & ~
% 194.23/30.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_22 = e0) & op(e2,
% 194.23/30.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_11 & op(e2, e1) = e2 & op(e1,
% 194.23/30.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17) = all_57_16 & op(e1, all_57_19) =
% 194.23/30.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_18 & op(e1, all_57_21) = all_57_20 &
% 194.23/30.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_23) = all_57_22 & op(e1, e3) =
% 194.23/30.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e1, e2) = all_57_19 & op(e1, e1)
% 194.23/30.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_21 & op(e1, e0) = all_57_23 &
% 194.23/30.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_16) & $i(all_57_17) &
% 194.23/30.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_19) & $i(all_57_20) &
% 194.23/30.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_22) & $i(all_57_23)) |
% 194.23/30.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e2 & ~ (all_57_11 = e0) & ~
% 194.23/30.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 194.23/30.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) & op(e2,
% 194.23/30.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_11 & op(e2, e0) = e2 & op(e0,
% 194.23/30.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25) = all_57_24 & op(e0, all_57_27) =
% 194.23/30.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e0, all_57_29) = all_57_28 &
% 194.23/30.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_31) = all_57_30 & op(e0, e3) =
% 194.23/30.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_27 & op(e0, e1)
% 194.23/30.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_29 & op(e0, e0) = all_57_31 &
% 194.23/30.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_24) & $i(all_57_25) &
% 194.23/30.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_27) & $i(all_57_28) &
% 194.23/30.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29) & $i(all_57_30) & $i(all_57_31))
% 194.23/30.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (1551), (2236), (2453), (function-axioms) are
% 194.23/30.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1481.
% 194.23/30.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 194.23/30.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2454) (all_57_17 = e1 & ~ (all_57_0 = e3) & ~
% 194.23/30.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e2) & ~ (all_57_4 = e1) & ~
% 194.23/30.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_6 = e0) & ~ (all_57_21 = e3) & op(e3,
% 194.23/30.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1) = all_57_0 & op(e3, all_57_3) =
% 194.23/30.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_2 & op(e3, all_57_5) = all_57_4 & op(e3,
% 194.23/30.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7) = all_57_6 & op(e3, e3) = all_57_1 &
% 194.23/30.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_3 & op(e3, e1) = all_57_5 &
% 194.23/30.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_7 & op(e1, e3) = e1 & op(e1,
% 194.23/30.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_21 & $i(all_57_0) & $i(all_57_1)
% 194.23/30.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_2) & $i(all_57_3) & $i(all_57_4) &
% 194.23/30.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 194.23/30.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21)) | (all_57_19 = e1 & ~ (all_57_8
% 194.23/30.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_10 = e2) & ~ (all_57_12 =
% 194.23/30.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_14 = e0) & ~ (all_57_21 =
% 194.23/30.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & op(e2, all_57_9) = all_57_8 & op(e2,
% 194.23/30.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_11) = all_57_10 & op(e2, all_57_13) =
% 194.23/30.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & op(e2, all_57_15) = all_57_14 &
% 194.23/30.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_9 & op(e2, e2) = all_57_11 &
% 194.23/30.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_57_13 & op(e2, e0) = all_57_15
% 194.23/30.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e1 & op(e1, e1) = all_57_21 &
% 194.23/30.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8) & $i(all_57_9) & $i(all_57_10) &
% 194.23/30.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_12) & $i(all_57_13) &
% 194.23/30.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & $i(all_57_15) & $i(all_57_21)) |
% 194.23/30.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (op(e0, e0) = all_57_31 & $i(all_57_31) &
% 194.23/30.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_23 = e1 & ~ (all_57_21 = e0) & ~
% 194.23/30.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 194.23/30.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) &
% 194.23/30.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_21 & op(e1, e0) = e1 &
% 194.23/30.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_25) = all_57_24 & op(e0,
% 194.23/30.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27) = all_57_26 & op(e0, all_57_29)
% 194.23/30.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_28 & op(e0, all_57_31) = all_57_30
% 194.23/30.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e3) = all_57_25 & op(e0, e2) =
% 194.23/30.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27 & op(e0, e1) = all_57_29 &
% 194.23/30.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_24) &
% 194.23/30.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_25) & $i(all_57_26) &
% 194.23/30.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27) & $i(all_57_28) &
% 194.23/30.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29) & $i(all_57_30)) | (all_57_25
% 194.23/30.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & ~ (all_57_0 = e3) & ~ (all_57_2 =
% 194.23/30.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_4 = e1) & ~ (all_57_6 =
% 194.23/30.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_31 = e3) & op(e3,
% 194.23/30.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1) = all_57_0 & op(e3, all_57_3) =
% 194.23/30.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_2 & op(e3, all_57_5) = all_57_4 &
% 194.23/30.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, all_57_7) = all_57_6 & op(e3, e3) =
% 194.23/30.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e2) = all_57_3 & op(e3,
% 194.23/30.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_5 & op(e3, e0) = all_57_7 &
% 194.23/30.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_0) &
% 194.23/30.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_2) & $i(all_57_3) &
% 194.23/30.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4) & $i(all_57_5) & $i(all_57_6) &
% 194.23/30.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7)) | (all_57_27 = e0 & ~
% 194.23/30.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e3) & ~ (all_57_10 = e2) & ~
% 194.23/30.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e1) & ~ (all_57_14 = e0) & ~
% 194.23/30.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e2) & op(e2, all_57_9) =
% 194.23/30.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_8 & op(e2, all_57_11) = all_57_10 &
% 194.23/30.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_13) = all_57_12 & op(e2,
% 194.23/30.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15) = all_57_14 & op(e2, e3) =
% 194.23/30.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_9 & op(e2, e2) = all_57_11 & op(e2,
% 194.23/30.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_13 & op(e2, e0) = all_57_15 &
% 194.23/30.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_8) &
% 194.23/30.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9) & $i(all_57_10) & $i(all_57_11)
% 194.23/30.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_12) & $i(all_57_13) &
% 194.23/30.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & $i(all_57_15)) | (all_57_29
% 194.23/30.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & ~ (all_57_16 = e3) & ~ (all_57_18 =
% 194.23/30.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_20 = e1) & ~ (all_57_22
% 194.23/30.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_31 = e1) & op(e1,
% 194.23/30.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17) = all_57_16 & op(e1, all_57_19)
% 194.23/30.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_18 & op(e1, all_57_21) = all_57_20
% 194.23/30.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, all_57_23) = all_57_22 & op(e1, e3)
% 194.23/30.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_17 & op(e1, e2) = all_57_19 &
% 194.23/30.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_21 & op(e1, e0) =
% 194.23/30.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23 & op(e0, e1) = e0 & $i(all_57_16)
% 194.23/30.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_17) & $i(all_57_18) &
% 194.23/30.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_20) &
% 194.23/30.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_22) &
% 194.23/30.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23))))
% 194.23/30.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2454) gives:
% 194.23/30.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 194.23/30.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2455) all_57_17 = e1 & ~ (all_57_0 = e3) & ~ (all_57_2
% 194.23/30.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2) & ~ (all_57_4 = e1) & ~ (all_57_6 = e0)
% 194.23/30.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_21 = e3) & op(e3, all_57_1) =
% 194.23/30.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_0 & op(e3, all_57_3) = all_57_2 & op(e3,
% 194.23/30.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_5) = all_57_4 & op(e3, all_57_7) =
% 194.23/30.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_6 & op(e3, e3) = all_57_1 & op(e3, e2) =
% 194.23/30.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 & op(e3, e1) = all_57_5 & op(e3, e0) =
% 194.23/30.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7 & op(e1, e3) = e1 & op(e1, e1) =
% 194.23/30.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_21 & $i(all_57_0) & $i(all_57_1) &
% 194.23/30.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_2) & $i(all_57_3) & $i(all_57_4) &
% 194.23/30.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 194.23/30.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21)
% 194.23/30.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2455) implies:
% 194.23/30.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2456) ~ (all_57_6 = e0)
% 194.23/30.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2457) op(e3, e0) = all_57_7
% 194.23/30.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2458) op(e3, e3) = all_57_1
% 194.23/30.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2459) op(e3, all_57_7) = all_57_6
% 194.23/30.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2310), (2442), (2456), (2457), (2458), (2459),
% 194.23/30.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 194.23/30.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1832.
% 194.23/30.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 194.23/30.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2460) (all_57_19 = e1 & ~ (all_57_8 = e3) & ~
% 194.23/30.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e2) & ~ (all_57_12 = e1) & ~
% 194.23/30.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e0) & ~ (all_57_21 = e2) & op(e2,
% 194.23/30.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_9) = all_57_8 & op(e2, all_57_11) =
% 194.23/30.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e2, all_57_13) = all_57_12 &
% 194.23/30.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_15) = all_57_14 & op(e2, e3) =
% 194.23/30.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_9 & op(e2, e2) = all_57_11 & op(e2, e1) =
% 194.23/30.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_13 & op(e2, e0) = all_57_15 & op(e1, e2)
% 194.23/30.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & op(e1, e1) = all_57_21 & $i(all_57_8) &
% 194.23/30.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9) & $i(all_57_10) & $i(all_57_11) &
% 194.23/30.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & $i(all_57_13) & $i(all_57_14) &
% 194.23/30.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & $i(all_57_21)) | (op(e0, e0) =
% 194.23/30.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_31 & $i(all_57_31) & ((all_57_23 = e1 &
% 194.23/30.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_21 = e0) & ~ (all_57_24 = e3) &
% 194.23/30.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_26 = e2) & ~ (all_57_28 = e1) &
% 194.23/30.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_30 = e0) & op(e1, e1) = all_57_21
% 194.23/30.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e0) = e1 & op(e0, all_57_25) =
% 194.23/30.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_24 & op(e0, all_57_27) = all_57_26 &
% 194.23/30.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_29) = all_57_28 & op(e0,
% 194.23/30.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_31) = all_57_30 & op(e0, e3) =
% 194.23/30.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_27 & op(e0,
% 194.23/30.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_29 & $i(all_57_21) &
% 194.23/30.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_24) & $i(all_57_25) &
% 194.23/30.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_27) &
% 194.23/30.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28) & $i(all_57_29) &
% 194.23/30.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_25 = e0 & ~
% 194.23/30.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_0 = e3) & ~ (all_57_2 = e2) & ~
% 194.23/30.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1) & ~ (all_57_6 = e0) & ~
% 194.23/30.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e3) & op(e3, all_57_1) =
% 194.23/30.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_0 & op(e3, all_57_3) = all_57_2 &
% 194.23/30.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, all_57_5) = all_57_4 & op(e3,
% 194.23/30.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7) = all_57_6 & op(e3, e3) =
% 194.23/30.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e2) = all_57_3 & op(e3,
% 194.23/30.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_5 & op(e3, e0) = all_57_7 &
% 194.23/30.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_0) &
% 194.23/30.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_2) & $i(all_57_3) &
% 194.23/30.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4) & $i(all_57_5) & $i(all_57_6) &
% 194.23/30.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7)) | (all_57_27 = e0 & ~
% 194.23/30.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e3) & ~ (all_57_10 = e2) & ~
% 194.23/30.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e1) & ~ (all_57_14 = e0) & ~
% 194.23/30.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e2) & op(e2, all_57_9) =
% 194.23/30.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_8 & op(e2, all_57_11) = all_57_10 &
% 194.23/30.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_13) = all_57_12 & op(e2,
% 194.23/30.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15) = all_57_14 & op(e2, e3) =
% 194.23/30.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_9 & op(e2, e2) = all_57_11 & op(e2,
% 194.23/30.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_13 & op(e2, e0) = all_57_15 &
% 194.23/30.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_8) &
% 194.23/30.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9) & $i(all_57_10) & $i(all_57_11)
% 194.23/30.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_12) & $i(all_57_13) &
% 194.23/30.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & $i(all_57_15)) | (all_57_29
% 194.23/30.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & ~ (all_57_16 = e3) & ~ (all_57_18 =
% 194.23/30.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_20 = e1) & ~ (all_57_22
% 194.23/30.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_31 = e1) & op(e1,
% 194.23/30.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17) = all_57_16 & op(e1, all_57_19)
% 194.23/30.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_18 & op(e1, all_57_21) = all_57_20
% 194.23/30.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, all_57_23) = all_57_22 & op(e1, e3)
% 194.23/30.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_17 & op(e1, e2) = all_57_19 &
% 194.23/30.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_21 & op(e1, e0) =
% 194.23/30.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23 & op(e0, e1) = e0 & $i(all_57_16)
% 194.23/30.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_17) & $i(all_57_18) &
% 194.23/30.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_20) &
% 194.23/30.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_22) &
% 194.23/30.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23))))
% 194.23/30.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (158), (159), (160), (162), (1546), (2231),
% 194.23/30.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2233), (2236), (2307), (2460), (function-axioms)
% 194.23/30.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1358.
% 194.23/30.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 194.23/30.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 194.23/30.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 194.23/30.64 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.64 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 194.23/30.64 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2461) all_54_3 = e2 | all_54_3 = e1 | all_54_3 = e0
% 194.23/30.64 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (270), (2199), (2327), (2438), (2461) are
% 194.23/30.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1596.
% 194.23/30.64 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.64 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 194.23/30.64 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.64 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 194.23/30.64 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.64 | | | | | | | | | | | | | | | | | | | | | | | | | | (2462) all_54_7 = e0
% 194.23/30.64 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.64 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2213), (2329), (2462) are inconsistent by
% 194.23/30.64 | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1357.
% 194.23/30.64 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.64 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 194.23/30.64 | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.64 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 194.23/30.64 | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.64 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 194.23/30.64 | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.64 | | | | | | | | | | | | | | | | | | | | | | End of split
% 194.23/30.64 | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.64 | | | | | | | | | | | | | | | | | | | | | End of split
% 194.23/30.64 | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.64 | | | | | | | | | | | | | | | | | | | | End of split
% 194.23/30.64 | | | | | | | | | | | | | | | | | | | |
% 194.23/30.64 | | | | | | | | | | | | | | | | | | | End of split
% 194.23/30.64 | | | | | | | | | | | | | | | | | | |
% 194.23/30.64 | | | | | | | | | | | | | | | | | | End of split
% 194.23/30.64 | | | | | | | | | | | | | | | | | |
% 194.23/30.64 | | | | | | | | | | | | | | | | | Case 2:
% 194.23/30.64 | | | | | | | | | | | | | | | | | |
% 194.23/30.64 | | | | | | | | | | | | | | | | | | (2463) all_54_10 = e0
% 194.23/30.64 | | | | | | | | | | | | | | | | | |
% 194.23/30.64 | | | | | | | | | | | | | | | | | | REF_CLOSE: (335), (372), (2463) are inconsistent by sub-proof
% 194.23/30.64 | | | | | | | | | | | | | | | | | | #1950.
% 194.23/30.64 | | | | | | | | | | | | | | | | | |
% 194.23/30.64 | | | | | | | | | | | | | | | | | End of split
% 194.23/30.64 | | | | | | | | | | | | | | | | |
% 194.23/30.64 | | | | | | | | | | | | | | | | End of split
% 194.23/30.64 | | | | | | | | | | | | | | | |
% 194.23/30.64 | | | | | | | | | | | | | | | End of split
% 194.23/30.64 | | | | | | | | | | | | | | |
% 194.23/30.64 | | | | | | | | | | | | | | Case 2:
% 194.23/30.64 | | | | | | | | | | | | | | |
% 194.23/30.64 | | | | | | | | | | | | | | | (2464) all_32_2 = e3
% 194.23/30.64 | | | | | | | | | | | | | | | (2465) op(e3, e1) = all_32_1 & $i(all_32_1) & ( ~
% 194.23/30.64 | | | | | | | | | | | | | | | (all_32_1 = e0) | ( ~ (all_32_0 = e2) & op(e0,
% 194.23/30.64 | | | | | | | | | | | | | | | e3) = all_32_0 & $i(all_32_0)))
% 194.23/30.64 | | | | | | | | | | | | | | |
% 194.23/30.64 | | | | | | | | | | | | | | | ALPHA: (2465) implies:
% 194.23/30.64 | | | | | | | | | | | | | | | (2466) op(e3, e1) = all_32_1
% 194.23/30.64 | | | | | | | | | | | | | | |
% 194.23/30.64 | | | | | | | | | | | | | | | COMBINE_EQS: (301), (2464) imply:
% 194.23/30.64 | | | | | | | | | | | | | | | (2467) all_4_2 = e3
% 194.23/30.64 | | | | | | | | | | | | | | |
% 194.23/30.64 | | | | | | | | | | | | | | | COMBINE_EQS: (295), (2467) imply:
% 194.23/30.64 | | | | | | | | | | | | | | | (2468) all_50_2 = e3
% 194.23/30.64 | | | | | | | | | | | | | | |
% 194.23/30.64 | | | | | | | | | | | | | | | REDUCE: (349), (2467) imply:
% 194.23/30.64 | | | | | | | | | | | | | | | (2469) ~ (all_52_2 = e3)
% 194.23/30.64 | | | | | | | | | | | | | | |
% 194.23/30.64 | | | | | | | | | | | | | | | REDUCE: (360), (2467) imply:
% 194.23/30.64 | | | | | | | | | | | | | | | (2470) ~ (all_52_6 = e3)
% 194.23/30.64 | | | | | | | | | | | | | | |
% 194.23/30.64 | | | | | | | | | | | | | | | REDUCE: (362), (2467) imply:
% 194.23/30.64 | | | | | | | | | | | | | | | (2471) ~ (all_52_8 = e3)
% 194.23/30.64 | | | | | | | | | | | | | | |
% 194.23/30.64 | | | | | | | | | | | | | | | REDUCE: (363), (2467) imply:
% 194.23/30.64 | | | | | | | | | | | | | | | (2472) ~ (all_52_9 = e3)
% 194.23/30.64 | | | | | | | | | | | | | | |
% 194.23/30.64 | | | | | | | | | | | | | | | REDUCE: (365), (2467) imply:
% 194.23/30.64 | | | | | | | | | | | | | | | (2473) ~ (all_52_11 = e3)
% 194.23/30.64 | | | | | | | | | | | | | | |
% 194.23/30.64 | | | | | | | | | | | | | | | REDUCE: (367), (2467) imply:
% 194.23/30.64 | | | | | | | | | | | | | | | (2474) ~ (all_52_14 = e3)
% 194.23/30.64 | | | | | | | | | | | | | | |
% 194.23/30.64 | | | | | | | | | | | | | | | REDUCE: (36), (2467) imply:
% 194.23/30.64 | | | | | | | | | | | | | | | (2475) op(e1, e1) = e3
% 194.23/30.64 | | | | | | | | | | | | | | |
% 194.23/30.64 | | | | | | | | | | | | | | | BETA: splitting (106) gives:
% 194.23/30.64 | | | | | | | | | | | | | | |
% 194.23/30.64 | | | | | | | | | | | | | | | Case 1:
% 194.23/30.64 | | | | | | | | | | | | | | | |
% 194.23/30.64 | | | | | | | | | | | | | | | | (2476) ~ (all_50_2 = e3)
% 194.23/30.64 | | | | | | | | | | | | | | | |
% 194.23/30.64 | | | | | | | | | | | | | | | | REDUCE: (2468), (2476) imply:
% 194.23/30.64 | | | | | | | | | | | | | | | | (2477) $false
% 194.23/30.64 | | | | | | | | | | | | | | | |
% 194.23/30.64 | | | | | | | | | | | | | | | | CLOSE: (2477) is inconsistent.
% 194.23/30.64 | | | | | | | | | | | | | | | |
% 194.23/30.64 | | | | | | | | | | | | | | | Case 2:
% 194.23/30.64 | | | | | | | | | | | | | | | |
% 194.23/30.64 | | | | | | | | | | | | | | | | (2478) op(e3, e1) = all_50_1 & $i(all_50_1) & ( ~
% 194.23/30.64 | | | | | | | | | | | | | | | | (all_50_1 = e2) | ( ~ (all_50_0 = e0) & op(e2,
% 194.23/30.64 | | | | | | | | | | | | | | | | e3) = all_50_0 & $i(all_50_0)))
% 194.23/30.64 | | | | | | | | | | | | | | | |
% 194.23/30.64 | | | | | | | | | | | | | | | | ALPHA: (2478) implies:
% 194.23/30.64 | | | | | | | | | | | | | | | | (2479) op(e3, e1) = all_50_1
% 194.23/30.64 | | | | | | | | | | | | | | | |
% 194.23/30.64 | | | | | | | | | | | | | | | | BETA: splitting (216) gives:
% 194.23/30.64 | | | | | | | | | | | | | | | |
% 194.23/30.64 | | | | | | | | | | | | | | | | Case 1:
% 194.23/30.64 | | | | | | | | | | | | | | | | |
% 194.23/30.64 | | | | | | | | | | | | | | | | | (2480) (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_7 = e3
% 194.23/30.64 | | | | | | | | | | | | | | | | | & op(e1, e2) = e3)
% 194.23/30.64 | | | | | | | | | | | | | | | | |
% 194.23/30.64 | | | | | | | | | | | | | | | | | BETA: splitting (2480) gives:
% 194.23/30.64 | | | | | | | | | | | | | | | | |
% 194.23/30.64 | | | | | | | | | | | | | | | | | Case 1:
% 194.23/30.64 | | | | | | | | | | | | | | | | | |
% 194.23/30.64 | | | | | | | | | | | | | | | | | | (2481) all_56_6 = e3 & op(e1, e3) = e3
% 194.23/30.64 | | | | | | | | | | | | | | | | | |
% 194.23/30.64 | | | | | | | | | | | | | | | | | | ALPHA: (2481) implies:
% 194.23/30.64 | | | | | | | | | | | | | | | | | | (2482) all_56_6 = e3
% 194.23/30.64 | | | | | | | | | | | | | | | | | | (2483) op(e1, e3) = e3
% 194.23/30.64 | | | | | | | | | | | | | | | | | |
% 194.23/30.64 | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (7), (8), (9), (160), (162), (213),
% 194.23/30.64 | | | | | | | | | | | | | | | | | | (214), (215), (1545), (2201), (2475), (2482),
% 194.23/30.64 | | | | | | | | | | | | | | | | | | (2483), (function-axioms) are inconsistent by
% 194.23/30.64 | | | | | | | | | | | | | | | | | | sub-proof #1352.
% 194.23/30.64 | | | | | | | | | | | | | | | | | |
% 194.23/30.64 | | | | | | | | | | | | | | | | | Case 2:
% 194.23/30.64 | | | | | | | | | | | | | | | | | |
% 194.23/30.64 | | | | | | | | | | | | | | | | | | (2484) all_56_7 = e3 & op(e1, e2) = e3
% 194.23/30.64 | | | | | | | | | | | | | | | | | |
% 194.23/30.64 | | | | | | | | | | | | | | | | | | REF_CLOSE: (162), (2470), (2484), (function-axioms) are
% 194.23/30.64 | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1827.
% 194.23/30.64 | | | | | | | | | | | | | | | | | |
% 194.23/30.64 | | | | | | | | | | | | | | | | | End of split
% 194.23/30.64 | | | | | | | | | | | | | | | | |
% 194.23/30.64 | | | | | | | | | | | | | | | | Case 2:
% 194.23/30.64 | | | | | | | | | | | | | | | | |
% 194.23/30.64 | | | | | | | | | | | | | | | | | (2485) (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_11 =
% 194.23/30.64 | | | | | | | | | | | | | | | | | e3 & op(e1, e0) = e3)
% 194.23/30.64 | | | | | | | | | | | | | | | | |
% 194.23/30.64 | | | | | | | | | | | | | | | | | BETA: splitting (2485) gives:
% 194.23/30.64 | | | | | | | | | | | | | | | | |
% 194.23/30.64 | | | | | | | | | | | | | | | | | Case 1:
% 194.23/30.64 | | | | | | | | | | | | | | | | | |
% 194.23/30.64 | | | | | | | | | | | | | | | | | | (2486) all_56_8 = e3 & op(e1, e1) = e3
% 194.23/30.64 | | | | | | | | | | | | | | | | | |
% 194.23/30.64 | | | | | | | | | | | | | | | | | | ALPHA: (2486) implies:
% 194.23/30.64 | | | | | | | | | | | | | | | | | | (2487) all_56_8 = e3
% 194.23/30.64 | | | | | | | | | | | | | | | | | |
% 194.23/30.64 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_8,
% 194.23/30.64 | | | | | | | | | | | | | | | | | | all_32_1, e1, e3, simplifying with (169), (2466)
% 194.23/30.64 | | | | | | | | | | | | | | | | | | gives:
% 194.23/30.64 | | | | | | | | | | | | | | | | | | (2488) all_52_8 = all_32_1
% 194.23/30.64 | | | | | | | | | | | | | | | | | |
% 194.23/30.64 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_8,
% 194.23/30.64 | | | | | | | | | | | | | | | | | | all_50_1, e1, e3, simplifying with (169), (2479)
% 194.23/30.64 | | | | | | | | | | | | | | | | | | gives:
% 194.23/30.64 | | | | | | | | | | | | | | | | | | (2489) all_52_8 = all_50_1
% 194.23/30.64 | | | | | | | | | | | | | | | | | |
% 194.23/30.64 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2488), (2489) imply:
% 194.23/30.64 | | | | | | | | | | | | | | | | | | (2490) all_50_1 = all_32_1
% 194.23/30.64 | | | | | | | | | | | | | | | | | |
% 194.23/30.64 | | | | | | | | | | | | | | | | | | SIMP: (2490) implies:
% 194.23/30.64 | | | | | | | | | | | | | | | | | | (2491) all_50_1 = all_32_1
% 194.23/30.64 | | | | | | | | | | | | | | | | | |
% 194.23/30.64 | | | | | | | | | | | | | | | | | | REDUCE: (120), (2488) imply:
% 194.23/30.64 | | | | | | | | | | | | | | | | | | (2492) ~ (all_52_12 = all_32_1)
% 194.23/30.64 | | | | | | | | | | | | | | | | | |
% 194.23/30.64 | | | | | | | | | | | | | | | | | | SIMP: (2492) implies:
% 194.23/30.64 | | | | | | | | | | | | | | | | | | (2493) ~ (all_52_12 = all_32_1)
% 194.23/30.64 | | | | | | | | | | | | | | | | | |
% 194.23/30.64 | | | | | | | | | | | | | | | | | | REDUCE: (345), (2488) imply:
% 194.23/30.64 | | | | | | | | | | | | | | | | | | (2494) ~ (all_32_1 = all_14_2)
% 194.23/30.64 | | | | | | | | | | | | | | | | | |
% 194.23/30.64 | | | | | | | | | | | | | | | | | | BETA: splitting (82) gives:
% 194.23/30.64 | | | | | | | | | | | | | | | | | |
% 194.23/30.64 | | | | | | | | | | | | | | | | | | Case 1:
% 194.23/30.64 | | | | | | | | | | | | | | | | | | |
% 194.23/30.64 | | | | | | | | | | | | | | | | | | | (2495) ~ (all_34_2 = e0)
% 194.23/30.64 | | | | | | | | | | | | | | | | | | |
% 194.23/30.64 | | | | | | | | | | | | | | | | | | | REDUCE: (313), (2495) imply:
% 194.23/30.64 | | | | | | | | | | | | | | | | | | | (2496) ~ (all_14_2 = e0)
% 194.23/30.64 | | | | | | | | | | | | | | | | | | |
% 194.23/30.64 | | | | | | | | | | | | | | | | | | | BETA: splitting (204) gives:
% 194.23/30.64 | | | | | | | | | | | | | | | | | | |
% 194.23/30.64 | | | | | | | | | | | | | | | | | | | Case 1:
% 194.23/30.64 | | | | | | | | | | | | | | | | | | | |
% 194.23/30.64 | | | | | | | | | | | | | | | | | | | | (2497) all_54_0 = e3
% 194.23/30.64 | | | | | | | | | | | | | | | | | | | |
% 194.23/30.64 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (279), (2497) imply:
% 194.23/30.64 | | | | | | | | | | | | | | | | | | | | (2498) all_14_2 = e3
% 194.23/30.64 | | | | | | | | | | | | | | | | | | | |
% 194.23/30.64 | | | | | | | | | | | | | | | | | | | | REDUCE: (343), (2498) imply:
% 194.23/30.64 | | | | | | | | | | | | | | | | | | | | (2499) ~ (all_52_4 = e3)
% 194.23/30.64 | | | | | | | | | | | | | | | | | | | |
% 194.23/30.64 | | | | | | | | | | | | | | | | | | | | REDUCE: (347), (2498) imply:
% 194.23/30.64 | | | | | | | | | | | | | | | | | | | | (2500) ~ (all_52_12 = e3)
% 194.23/30.64 | | | | | | | | | | | | | | | | | | | |
% 194.23/30.64 | | | | | | | | | | | | | | | | | | | | BETA: splitting (228) gives:
% 194.23/30.64 | | | | | | | | | | | | | | | | | | | |
% 194.23/30.64 | | | | | | | | | | | | | | | | | | | | Case 1:
% 194.23/30.64 | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.64 | | | | | | | | | | | | | | | | | | | | | (2501) (all_56_1 = e3 & op(e3, e2) = e3) | (all_56_3 = e3
% 194.23/30.64 | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e3)
% 194.23/30.64 | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.64 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (170), (1551), (2499), (2501),
% 194.23/30.64 | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 194.23/30.64 | | | | | | | | | | | | | | | | | | | | | #1351.
% 194.23/30.64 | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.64 | | | | | | | | | | | | | | | | | | | | Case 2:
% 194.23/30.64 | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.64 | | | | | | | | | | | | | | | | | | | | | (2502) (all_56_7 = e3 & op(e1, e2) = e3) | (all_56_13 =
% 194.23/30.64 | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e2) = e3)
% 194.23/30.64 | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.64 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2502) gives:
% 194.23/30.64 | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.64 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 194.23/30.64 | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.64 | | | | | | | | | | | | | | | | | | | | | | (2503) all_56_7 = e3 & op(e1, e2) = e3
% 194.23/30.64 | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.64 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (162), (2470), (2503), (function-axioms) are
% 194.23/30.64 | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1827.
% 194.23/30.64 | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.64 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 194.23/30.64 | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.64 | | | | | | | | | | | | | | | | | | | | | | (2504) all_56_13 = e3 & op(e0, e2) = e3
% 194.23/30.64 | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.64 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2504) implies:
% 194.23/30.64 | | | | | | | | | | | | | | | | | | | | | | (2505) all_56_13 = e3
% 194.23/30.64 | | | | | | | | | | | | | | | | | | | | | | (2506) op(e0, e2) = e3
% 194.23/30.64 | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.64 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (212) gives:
% 194.23/30.64 | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.64 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 194.23/30.64 | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.64 | | | | | | | | | | | | | | | | | | | | | | | (2507) (all_56_9 = e3 & op(e3, e0) = e3) | (all_56_10 =
% 194.23/30.64 | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e0) = e3)
% 194.23/30.64 | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.64 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2507) gives:
% 194.23/30.64 | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.64 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 194.23/30.64 | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.64 | | | | | | | | | | | | | | | | | | | | | | | | (2508) all_56_9 = e3 & op(e3, e0) = e3
% 194.23/30.64 | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.64 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2508) implies:
% 194.23/30.64 | | | | | | | | | | | | | | | | | | | | | | | | (2509) op(e3, e0) = e3
% 194.23/30.64 | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.64 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (168), (2500), (2509), (function-axioms) are
% 194.23/30.64 | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1928.
% 194.23/30.64 | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.64 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 194.23/30.64 | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.64 | | | | | | | | | | | | | | | | | | | | | | | | (2510) all_56_10 = e3 & op(e2, e0) = e3
% 194.23/30.64 | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.64 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2510) implies:
% 194.23/30.64 | | | | | | | | | | | | | | | | | | | | | | | | (2511) all_56_10 = e3
% 194.23/30.64 | | | | | | | | | | | | | | | | | | | | | | | | (2512) op(e2, e0) = e3
% 194.23/30.64 | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.64 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_20_1, e3,
% 194.23/30.64 | | | | | | | | | | | | | | | | | | | | | | | | e2, e0, simplifying with (1538), (2506) gives:
% 194.23/30.64 | | | | | | | | | | | | | | | | | | | | | | | | (2513) all_20_1 = e3
% 194.23/30.64 | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.64 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_30_1, e3,
% 194.23/30.64 | | | | | | | | | | | | | | | | | | | | | | | | e0, e2, simplifying with (2192), (2512) gives:
% 194.23/30.64 | | | | | | | | | | | | | | | | | | | | | | | | (2514) all_30_1 = e3
% 194.23/30.64 | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.64 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2193) gives:
% 194.23/30.64 | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.64 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 194.23/30.64 | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.64 | | | | | | | | | | | | | | | | | | | | | | | | | (2515) ~ (all_30_1 = e3)
% 194.23/30.64 | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.64 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2514), (2515) imply:
% 194.23/30.64 | | | | | | | | | | | | | | | | | | | | | | | | | (2516) $false
% 194.23/30.64 | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.64 | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2516) is inconsistent.
% 194.23/30.64 | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.64 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 194.23/30.64 | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.64 | | | | | | | | | | | | | | | | | | | | | | | | | (2517) ~ (all_30_0 = e1) & op(e3, e2) = all_30_0 &
% 194.23/30.64 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_30_0)
% 194.23/30.64 | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.64 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2517) implies:
% 194.23/30.64 | | | | | | | | | | | | | | | | | | | | | | | | | (2518) ~ (all_30_0 = e1)
% 194.23/30.64 | | | | | | | | | | | | | | | | | | | | | | | | | (2519) op(e3, e2) = all_30_0
% 194.23/30.64 | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.64 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1539) gives:
% 194.23/30.64 | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.64 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 194.23/30.64 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.64 | | | | | | | | | | | | | | | | | | | | | | | | | | (2520) ~ (all_20_1 = e3)
% 194.23/30.64 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.64 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2513), (2520) imply:
% 194.23/30.64 | | | | | | | | | | | | | | | | | | | | | | | | | | (2521) $false
% 194.23/30.64 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.64 | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2521) is inconsistent.
% 194.23/30.64 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.64 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 194.23/30.64 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.64 | | | | | | | | | | | | | | | | | | | | | | | | | | (2522) ~ (all_20_0 = e1) & op(e3, e0) = all_20_0 &
% 194.23/30.64 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_20_0)
% 194.23/30.64 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.64 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2522) implies:
% 194.23/30.64 | | | | | | | | | | | | | | | | | | | | | | | | | | (2523) ~ (all_20_0 = e1)
% 194.23/30.64 | | | | | | | | | | | | | | | | | | | | | | | | | | (2524) op(e3, e0) = all_20_0
% 194.23/30.64 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.64 | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_12,
% 194.23/30.64 | | | | | | | | | | | | | | | | | | | | | | | | | | all_20_0, e0, e3, simplifying with (168), (2524)
% 194.23/30.64 | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 194.23/30.64 | | | | | | | | | | | | | | | | | | | | | | | | | | (2525) all_52_12 = all_20_0
% 194.23/30.64 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.64 | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_4,
% 194.23/30.64 | | | | | | | | | | | | | | | | | | | | | | | | | | all_30_0, e2, e3, simplifying with (170), (2519)
% 194.23/30.64 | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 194.23/30.64 | | | | | | | | | | | | | | | | | | | | | | | | | | (2526) all_52_4 = all_30_0
% 194.23/30.64 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.64 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (270), (2525) imply:
% 194.23/30.64 | | | | | | | | | | | | | | | | | | | | | | | | | | (2527) all_54_3 = all_20_0
% 194.23/30.64 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.64 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (272), (2526) imply:
% 194.23/30.64 | | | | | | | | | | | | | | | | | | | | | | | | | | (2528) all_54_1 = all_30_0
% 194.23/30.64 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.64 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (136), (2526) imply:
% 194.23/30.64 | | | | | | | | | | | | | | | | | | | | | | | | | | (2529) ~ (all_52_6 = all_30_0)
% 194.23/30.64 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.64 | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2529) implies:
% 194.23/30.64 | | | | | | | | | | | | | | | | | | | | | | | | | | (2530) ~ (all_52_6 = all_30_0)
% 194.23/30.64 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.64 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (133), (2525), (2526) imply:
% 194.23/30.64 | | | | | | | | | | | | | | | | | | | | | | | | | | (2531) ~ (all_30_0 = all_20_0)
% 194.23/30.64 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.64 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2499), (2526) imply:
% 194.23/30.64 | | | | | | | | | | | | | | | | | | | | | | | | | | (2532) ~ (all_30_0 = e3)
% 194.23/30.64 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.64 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1544), (2526) imply:
% 194.23/30.64 | | | | | | | | | | | | | | | | | | | | | | | | | | (2533) ~ (all_30_0 = e0)
% 194.23/30.64 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.64 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2493), (2525) imply:
% 194.23/30.64 | | | | | | | | | | | | | | | | | | | | | | | | | | (2534) ~ (all_32_1 = all_20_0)
% 194.23/30.64 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.64 | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2534) implies:
% 194.23/30.64 | | | | | | | | | | | | | | | | | | | | | | | | | | (2535) ~ (all_32_1 = all_20_0)
% 194.23/30.64 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.64 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2500), (2525) imply:
% 194.23/30.64 | | | | | | | | | | | | | | | | | | | | | | | | | | (2536) ~ (all_20_0 = e3)
% 194.23/30.64 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.64 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2199), (2525) imply:
% 194.23/30.64 | | | | | | | | | | | | | | | | | | | | | | | | | | (2537) ~ (all_20_0 = e2)
% 194.23/30.64 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.64 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (203) gives:
% 194.23/30.64 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.64 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 194.23/30.64 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2538) all_54_1 = e3
% 194.23/30.64 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2528), (2538) imply:
% 194.23/30.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2539) all_30_0 = e3
% 194.23/30.64 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2532), (2539) imply:
% 194.23/30.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2540) $false
% 194.23/30.64 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2540) is inconsistent.
% 194.23/30.64 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.64 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 194.23/30.64 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2541) ~ (all_54_1 = e3)
% 194.23/30.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2542) all_54_1 = e2 | all_54_1 = e1 | all_54_1 = e0
% 194.23/30.64 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (201) gives:
% 194.23/30.64 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 194.23/30.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2543) all_54_3 = e3
% 194.23/30.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2527), (2543) imply:
% 194.23/30.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2544) all_20_0 = e3
% 194.23/30.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2536), (2544) imply:
% 194.23/30.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2545) $false
% 194.23/30.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2545) is inconsistent.
% 194.23/30.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 194.23/30.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2546) ~ (all_54_3 = e3)
% 194.23/30.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2547) all_54_3 = e2 | all_54_3 = e1 | all_54_3 = e0
% 194.23/30.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2547) gives:
% 194.23/30.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 194.23/30.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2548) all_54_3 = e2
% 194.23/30.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2527), (2548) imply:
% 194.23/30.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2549) all_20_0 = e2
% 194.23/30.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2537), (2549) imply:
% 194.23/30.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2550) $false
% 194.23/30.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2550) is inconsistent.
% 194.23/30.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 194.23/30.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2551) all_54_3 = e1 | all_54_3 = e0
% 194.23/30.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2542) gives:
% 194.23/30.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 194.23/30.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2552) all_54_1 = e2
% 194.23/30.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2528), (2552) imply:
% 194.23/30.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2553) all_30_0 = e2
% 194.23/30.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2530), (2553) imply:
% 194.23/30.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2554) ~ (all_52_6 = e2)
% 194.23/30.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2531), (2553) imply:
% 194.23/30.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2555) ~ (all_20_0 = e2)
% 194.23/30.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (227) gives:
% 194.23/30.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 194.23/30.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2556) (all_56_1 = e2 & op(e3, e2) = e2) | (all_56_3 = e2
% 194.23/30.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e2)
% 194.23/30.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2556) gives:
% 194.23/30.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 194.23/30.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2557) all_56_1 = e2 & op(e3, e2) = e2
% 194.23/30.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2557) implies:
% 194.23/30.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2558) all_56_1 = e2
% 194.23/30.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2551) gives:
% 194.23/30.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 194.23/30.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2559) all_54_3 = e1
% 194.23/30.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2523), (2527), (2559) are inconsistent by
% 194.23/30.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1433.
% 194.23/30.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 194.23/30.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2560) all_54_3 = e0
% 194.23/30.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2527), (2560) imply:
% 194.23/30.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2561) all_20_0 = e0
% 194.23/30.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2561) implies:
% 194.23/30.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2562) all_20_0 = e0
% 194.23/30.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2535), (2562) imply:
% 194.23/30.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2563) ~ (all_32_1 = e0)
% 194.23/30.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2537), (2562) imply:
% 194.23/30.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2564) ~ (e2 = e0)
% 194.23/30.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (213) gives:
% 194.23/30.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 194.23/30.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2565) (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_7 = e0
% 194.23/30.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e0)
% 194.23/30.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2565) gives:
% 194.23/30.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 194.23/30.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2566) all_56_6 = e0 & op(e1, e3) = e0
% 194.23/30.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2566) implies:
% 194.23/30.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2567) all_56_6 = e0
% 194.23/30.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (215) gives:
% 194.23/30.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 194.23/30.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2568) (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_7 = e2
% 194.23/30.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e2)
% 194.23/30.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2568) gives:
% 194.23/30.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 194.23/30.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2569) all_56_6 = e2 & op(e1, e3) = e2
% 194.23/30.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2569) implies:
% 194.23/30.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2570) all_56_6 = e2
% 194.23/30.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2567), (2570) imply:
% 194.23/30.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2571) e2 = e0
% 194.23/30.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2571) implies:
% 194.23/30.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2572) e2 = e0
% 194.23/30.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2558), (2572) imply:
% 194.23/30.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2573) all_56_1 = e0
% 194.23/30.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (226), (227), (228),
% 194.23/30.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1551), (2573), (function-axioms) are inconsistent
% 194.23/30.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1496.
% 194.23/30.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 194.23/30.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2574) all_56_7 = e2 & op(e1, e2) = e2
% 194.23/30.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2574) implies:
% 194.23/30.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2575) op(e1, e2) = e2
% 194.23/30.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (162), (2554), (2575), (function-axioms) are
% 194.23/30.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1970.
% 194.23/30.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 194.23/30.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 194.23/30.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2576) (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_11 =
% 194.23/30.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e1, e0) = e2)
% 194.23/30.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (160), (2201), (2475), (2576),
% 194.23/30.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 194.23/30.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1353.
% 194.23/30.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 194.23/30.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 194.23/30.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2577) all_56_7 = e0 & op(e1, e2) = e0
% 194.23/30.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2577) implies:
% 194.23/30.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2578) all_56_7 = e0
% 194.23/30.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (8), (226), (1561), (2505), (2558),
% 194.23/30.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2578) are inconsistent by sub-proof #1405.
% 194.23/30.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 194.23/30.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 194.23/30.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2579) (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_11 =
% 194.23/30.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e1, e0) = e0)
% 194.23/30.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2579) gives:
% 194.23/30.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 194.23/30.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2580) all_56_8 = e0 & op(e1, e1) = e0
% 194.23/30.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2580) implies:
% 194.23/30.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2581) op(e1, e1) = e0
% 194.23/30.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (2475), (2581), (function-axioms) are
% 194.23/30.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1918.
% 194.23/30.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 194.23/30.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2582) all_56_11 = e0 & op(e1, e0) = e0
% 194.23/30.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2582) implies:
% 194.23/30.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2583) op(e1, e0) = e0
% 194.23/30.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (215) gives:
% 194.23/30.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 194.23/30.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2584) (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_7 = e2
% 194.23/30.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e2)
% 194.23/30.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2584) gives:
% 194.23/30.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 194.23/30.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2585) all_56_6 = e2 & op(e1, e3) = e2
% 194.23/30.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2585) implies:
% 194.23/30.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2586) all_56_6 = e2
% 194.23/30.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (210) gives:
% 194.23/30.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 194.23/30.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2587) (all_56_9 = e1 & op(e3, e0) = e1) | (all_56_10 =
% 194.23/30.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e2, e0) = e1)
% 194.23/30.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2587) gives:
% 194.23/30.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 194.23/30.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2588) all_56_9 = e1 & op(e3, e0) = e1
% 194.23/30.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2588) implies:
% 194.23/30.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2589) all_56_9 = e1
% 194.23/30.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (214) gives:
% 194.23/30.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 194.23/30.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2590) (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_7 = e1
% 194.23/30.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e1)
% 194.23/30.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2590) gives:
% 194.23/30.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 194.23/30.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2591) all_56_6 = e1 & op(e1, e3) = e1
% 194.23/30.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (2586), (2591) are inconsistent by sub-proof
% 194.23/30.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1350.
% 194.23/30.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 194.23/30.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2592) all_56_7 = e1 & op(e1, e2) = e1
% 194.23/30.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2592) implies:
% 194.23/30.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2593) all_56_7 = e1
% 194.23/30.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (230) gives:
% 194.23/30.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 194.23/30.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2594) (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_1 = e0
% 194.23/30.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e0)
% 194.23/30.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2594) gives:
% 194.23/30.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 194.23/30.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2595) all_56_0 = e0 & op(e3, e3) = e0
% 194.23/30.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2595) implies:
% 194.23/30.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2596) op(e3, e3) = e0
% 194.23/30.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8), (169), (170), (236), (2471), (2499),
% 194.23/30.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2589), (2596), (function-axioms) are inconsistent
% 194.23/30.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1349.
% 194.23/30.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 194.23/30.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2597) all_56_1 = e0 & op(e3, e2) = e0
% 194.23/30.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2597) implies:
% 194.23/30.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2598) all_56_1 = e0
% 194.23/30.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (226), (227), (228),
% 194.23/30.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1551), (2598), (function-axioms) are inconsistent
% 194.23/30.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1496.
% 194.23/30.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 194.23/30.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 194.23/30.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2599) (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_9 = e0
% 194.23/30.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e0)
% 194.23/30.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2599) gives:
% 194.23/30.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 194.23/30.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2600) all_56_4 = e0 & op(e3, e1) = e0
% 194.23/30.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2466), (2563), (2600), (function-axioms) are
% 194.23/30.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1613.
% 194.23/30.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 194.23/30.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2601) all_56_9 = e0 & op(e3, e0) = e0
% 194.23/30.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2601) implies:
% 194.23/30.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2602) all_56_9 = e0
% 194.23/30.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2589), (2602) imply:
% 194.23/30.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2603) e1 = e0
% 194.23/30.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2593), (2603) imply:
% 194.23/30.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2604) all_56_7 = e0
% 194.23/30.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (8), (226), (1561), (2505), (2558),
% 194.23/30.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2604) are inconsistent by sub-proof #1405.
% 194.23/30.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 194.23/30.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 194.23/30.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 194.23/30.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 194.23/30.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2605) (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_11 =
% 194.23/30.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e1, e0) = e1)
% 194.23/30.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (8), (2475), (2583), (2605),
% 194.23/30.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 194.23/30.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1576.
% 194.23/30.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 194.23/30.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 194.23/30.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2606) all_56_10 = e1 & op(e2, e0) = e1
% 194.23/30.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2606) implies:
% 194.23/30.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2607) all_56_10 = e1
% 194.23/30.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (2511), (2607) are inconsistent by sub-proof
% 194.23/30.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1818.
% 194.23/30.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 194.23/30.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 194.23/30.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2608) (all_56_11 = e1 & op(e1, e0) = e1) | (all_56_15 =
% 194.23/30.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = e1)
% 194.23/30.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2608) gives:
% 194.23/30.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 194.23/30.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2609) all_56_11 = e1 & op(e1, e0) = e1
% 194.23/30.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2609) implies:
% 194.23/30.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2610) op(e1, e0) = e1
% 194.23/30.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (2583), (2610), (function-axioms) are
% 194.23/30.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1577.
% 194.23/30.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 194.23/30.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2611) all_56_15 = e1 & op(e0, e0) = e1
% 194.23/30.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2611) implies:
% 194.23/30.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2612) op(e0, e0) = e1
% 194.23/30.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (9), (157), (159), (208), (2197), (2198),
% 194.23/30.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2505), (2612), (function-axioms) are inconsistent
% 194.23/30.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1841.
% 194.23/30.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 194.23/30.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 194.23/30.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 194.23/30.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2613) all_56_7 = e2 & op(e1, e2) = e2
% 194.23/30.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2613) implies:
% 194.23/30.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2614) op(e1, e2) = e2
% 194.23/30.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (162), (2554), (2614), (function-axioms) are
% 194.23/30.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1970.
% 194.23/30.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 194.23/30.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 194.23/30.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2615) (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_11 =
% 194.23/30.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e1, e0) = e2)
% 194.23/30.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (160), (2201), (2475), (2615),
% 194.23/30.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 194.23/30.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1353.
% 194.23/30.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 194.23/30.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 194.23/30.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 194.23/30.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 194.23/30.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 194.23/30.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2616) all_56_3 = e2 & op(e2, e2) = e2
% 194.23/30.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2616) implies:
% 194.23/30.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2617) op(e2, e2) = e2
% 194.23/30.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (1551), (2617), (function-axioms) are
% 194.23/30.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1960.
% 194.23/30.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 194.23/30.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 194.23/30.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2618) (all_56_7 = e2 & op(e1, e2) = e2) | (all_56_13 =
% 194.23/30.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e2)
% 194.23/30.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (162), (1538), (2202), (2554), (2618),
% 194.23/30.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 194.23/30.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1347.
% 194.23/30.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 194.23/30.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 194.23/30.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2619) all_54_1 = e1 | all_54_1 = e0
% 194.23/30.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2619) gives:
% 194.23/30.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 194.23/30.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2620) all_54_1 = e1
% 194.23/30.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2528), (2620) imply:
% 194.23/30.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2621) all_30_0 = e1
% 194.23/30.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2518), (2621) imply:
% 194.23/30.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2622) $false
% 194.23/30.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2622) is inconsistent.
% 194.23/30.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 194.23/30.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2623) all_54_1 = e0
% 194.23/30.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2528), (2623) imply:
% 194.23/30.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2624) all_30_0 = e0
% 194.23/30.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2533), (2624) imply:
% 194.23/30.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2625) $false
% 194.23/30.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2625) is inconsistent.
% 194.23/30.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 194.23/30.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 194.23/30.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 194.23/30.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 194.23/30.65 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.65 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 194.23/30.65 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.65 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 194.23/30.65 | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.65 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 194.23/30.65 | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.65 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 194.23/30.65 | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.65 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 194.23/30.65 | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.65 | | | | | | | | | | | | | | | | | | | | | | | (2626) (all_56_11 = e3 & op(e1, e0) = e3) | (all_56_15 =
% 194.23/30.65 | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = e3)
% 194.23/30.65 | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.65 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (160), (2204), (2474), (2626),
% 194.23/30.65 | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 194.23/30.65 | | | | | | | | | | | | | | | | | | | | | | | #1761.
% 194.23/30.65 | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.65 | | | | | | | | | | | | | | | | | | | | | | End of split
% 194.23/30.65 | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.65 | | | | | | | | | | | | | | | | | | | | | End of split
% 194.23/30.65 | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.65 | | | | | | | | | | | | | | | | | | | | End of split
% 194.23/30.65 | | | | | | | | | | | | | | | | | | | |
% 194.23/30.65 | | | | | | | | | | | | | | | | | | | Case 2:
% 194.23/30.65 | | | | | | | | | | | | | | | | | | | |
% 194.23/30.65 | | | | | | | | | | | | | | | | | | | | (2627) all_54_0 = e2 | all_54_0 = e1 | all_54_0 = e0
% 194.23/30.65 | | | | | | | | | | | | | | | | | | | |
% 194.23/30.65 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (279), (377), (1575), (2496), (2627) are
% 194.23/30.65 | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1904.
% 194.23/30.65 | | | | | | | | | | | | | | | | | | | |
% 194.23/30.65 | | | | | | | | | | | | | | | | | | | End of split
% 194.23/30.65 | | | | | | | | | | | | | | | | | | |
% 194.23/30.65 | | | | | | | | | | | | | | | | | | Case 2:
% 194.23/30.65 | | | | | | | | | | | | | | | | | | |
% 194.23/30.65 | | | | | | | | | | | | | | | | | | | (2628) all_34_2 = e0
% 194.23/30.65 | | | | | | | | | | | | | | | | | | | (2629) op(e0, e3) = all_34_1 & $i(all_34_1) & ( ~
% 194.23/30.65 | | | | | | | | | | | | | | | | | | | (all_34_1 = e2) | ( ~ (all_34_0 = e1) & op(e2,
% 194.23/30.65 | | | | | | | | | | | | | | | | | | | e0) = all_34_0 & $i(all_34_0)))
% 194.23/30.65 | | | | | | | | | | | | | | | | | | |
% 194.23/30.65 | | | | | | | | | | | | | | | | | | | ALPHA: (2629) implies:
% 194.23/30.65 | | | | | | | | | | | | | | | | | | | (2630) op(e0, e3) = all_34_1
% 194.23/30.65 | | | | | | | | | | | | | | | | | | |
% 194.23/30.65 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (313), (2628) imply:
% 194.23/30.65 | | | | | | | | | | | | | | | | | | | (2631) all_14_2 = e0
% 194.23/30.65 | | | | | | | | | | | | | | | | | | |
% 194.23/30.65 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (281), (2631) imply:
% 194.23/30.65 | | | | | | | | | | | | | | | | | | | (2632) all_44_2 = e0
% 194.23/30.65 | | | | | | | | | | | | | | | | | | |
% 194.23/30.65 | | | | | | | | | | | | | | | | | | | REDUCE: (339), (2631) imply:
% 194.23/30.65 | | | | | | | | | | | | | | | | | | | (2633) ~ (all_52_2 = e0)
% 194.23/30.65 | | | | | | | | | | | | | | | | | | |
% 194.23/30.65 | | | | | | | | | | | | | | | | | | | REDUCE: (341), (2631) imply:
% 194.23/30.65 | | | | | | | | | | | | | | | | | | | (2634) ~ (all_52_3 = e0)
% 194.23/30.65 | | | | | | | | | | | | | | | | | | |
% 194.23/30.65 | | | | | | | | | | | | | | | | | | | REDUCE: (2494), (2631) imply:
% 194.23/30.65 | | | | | | | | | | | | | | | | | | | (2635) ~ (all_32_1 = e0)
% 194.23/30.65 | | | | | | | | | | | | | | | | | | |
% 194.23/30.65 | | | | | | | | | | | | | | | | | | | REDUCE: (377), (2631) imply:
% 194.23/30.65 | | | | | | | | | | | | | | | | | | | (2636) ~ (e2 = e0)
% 194.23/30.65 | | | | | | | | | | | | | | | | | | |
% 194.23/30.65 | | | | | | | | | | | | | | | | | | | REDUCE: (51), (2631) imply:
% 194.23/30.65 | | | | | | | | | | | | | | | | | | | (2637) op(e3, e3) = e0
% 194.23/30.65 | | | | | | | | | | | | | | | | | | |
% 194.23/30.65 | | | | | | | | | | | | | | | | | | | BETA: splitting (97) gives:
% 194.23/30.65 | | | | | | | | | | | | | | | | | | |
% 194.23/30.65 | | | | | | | | | | | | | | | | | | | Case 1:
% 194.23/30.65 | | | | | | | | | | | | | | | | | | | |
% 194.23/30.65 | | | | | | | | | | | | | | | | | | | | (2638) ~ (all_44_2 = e0)
% 194.23/30.65 | | | | | | | | | | | | | | | | | | | |
% 194.23/30.65 | | | | | | | | | | | | | | | | | | | | REDUCE: (2632), (2638) imply:
% 194.23/30.65 | | | | | | | | | | | | | | | | | | | | (2639) $false
% 194.23/30.65 | | | | | | | | | | | | | | | | | | | |
% 194.23/30.65 | | | | | | | | | | | | | | | | | | | | CLOSE: (2639) is inconsistent.
% 194.23/30.65 | | | | | | | | | | | | | | | | | | | |
% 194.23/30.65 | | | | | | | | | | | | | | | | | | | Case 2:
% 194.23/30.65 | | | | | | | | | | | | | | | | | | | |
% 194.23/30.65 | | | | | | | | | | | | | | | | | | | | (2640) op(e0, e3) = all_44_1 & $i(all_44_1) & ( ~
% 194.23/30.65 | | | | | | | | | | | | | | | | | | | | (all_44_1 = e1) | ( ~ (all_44_0 = e2) & op(e1,
% 194.23/30.65 | | | | | | | | | | | | | | | | | | | | e0) = all_44_0 & $i(all_44_0)))
% 194.23/30.65 | | | | | | | | | | | | | | | | | | | |
% 194.23/30.65 | | | | | | | | | | | | | | | | | | | | ALPHA: (2640) implies:
% 194.23/30.65 | | | | | | | | | | | | | | | | | | | | (2641) op(e0, e3) = all_44_1
% 194.23/30.65 | | | | | | | | | | | | | | | | | | | |
% 194.23/30.65 | | | | | | | | | | | | | | | | | | | | BETA: splitting (217) gives:
% 194.23/30.65 | | | | | | | | | | | | | | | | | | | |
% 194.23/30.65 | | | | | | | | | | | | | | | | | | | | Case 1:
% 194.23/30.65 | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.65 | | | | | | | | | | | | | | | | | | | | | (2642) (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_5 = e0
% 194.23/30.65 | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e0)
% 194.23/30.65 | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.65 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (158), (162), (222),
% 194.23/30.65 | | | | | | | | | | | | | | | | | | | | | (223), (224), (225), (226), (227), (228), (1545),
% 194.23/30.65 | | | | | | | | | | | | | | | | | | | | | (1546), (1551), (2466), (2635), (2642),
% 194.23/30.65 | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 194.23/30.65 | | | | | | | | | | | | | | | | | | | | | #1394.
% 194.23/30.65 | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.65 | | | | | | | | | | | | | | | | | | | | Case 2:
% 194.23/30.65 | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.65 | | | | | | | | | | | | | | | | | | | | | (2643) (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_14 =
% 194.23/30.65 | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0)
% 194.23/30.65 | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.65 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2643) gives:
% 194.23/30.65 | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.65 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 194.23/30.65 | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.65 | | | | | | | | | | | | | | | | | | | | | | (2644) all_56_8 = e0 & op(e1, e1) = e0
% 194.23/30.65 | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.65 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2644) implies:
% 194.23/30.65 | | | | | | | | | | | | | | | | | | | | | | (2645) op(e1, e1) = e0
% 194.23/30.65 | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.65 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (2475), (2645), (function-axioms) are
% 194.23/30.65 | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1918.
% 194.23/30.65 | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.65 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 194.23/30.65 | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.65 | | | | | | | | | | | | | | | | | | | | | | (2646) all_56_14 = e0 & op(e0, e1) = e0
% 194.23/30.65 | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.65 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2646) implies:
% 194.23/30.65 | | | | | | | | | | | | | | | | | | | | | | (2647) all_56_14 = e0
% 194.23/30.65 | | | | | | | | | | | | | | | | | | | | | | (2648) op(e0, e1) = e0
% 194.23/30.65 | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.65 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (213) gives:
% 194.23/30.65 | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.65 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 194.23/30.65 | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.65 | | | | | | | | | | | | | | | | | | | | | | | (2649) (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_7 = e0
% 194.23/30.65 | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e0)
% 194.23/30.65 | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.65 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (162), (163), (1545), (2633), (2649),
% 194.23/30.65 | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 194.23/30.65 | | | | | | | | | | | | | | | | | | | | | | | #1472.
% 194.23/30.65 | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.65 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 194.23/30.65 | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.65 | | | | | | | | | | | | | | | | | | | | | | | (2650) (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_11 =
% 194.23/30.65 | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e1, e0) = e0)
% 194.23/30.65 | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.65 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2650) gives:
% 194.23/30.65 | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.65 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 194.23/30.65 | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.65 | | | | | | | | | | | | | | | | | | | | | | | | (2651) all_56_8 = e0 & op(e1, e1) = e0
% 194.23/30.65 | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.65 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2651) implies:
% 194.23/30.65 | | | | | | | | | | | | | | | | | | | | | | | | (2652) op(e1, e1) = e0
% 194.23/30.65 | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.65 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (2475), (2652), (function-axioms) are
% 194.23/30.65 | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1918.
% 194.23/30.65 | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.65 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 194.23/30.65 | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.65 | | | | | | | | | | | | | | | | | | | | | | | | (2653) all_56_11 = e0 & op(e1, e0) = e0
% 194.23/30.65 | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.65 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2653) implies:
% 194.23/30.65 | | | | | | | | | | | | | | | | | | | | | | | | (2654) op(e1, e0) = e0
% 194.23/30.65 | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.65 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (206) gives:
% 194.23/30.65 | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.65 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 194.23/30.65 | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.65 | | | | | | | | | | | | | | | | | | | | | | | | | (2655) all_56_15 = e0 & op(e0, e0) = e0
% 194.23/30.65 | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.65 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2655) implies:
% 194.23/30.65 | | | | | | | | | | | | | | | | | | | | | | | | | (2656) op(e0, e0) = e0
% 194.23/30.65 | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.65 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (2204), (2656), (function-axioms) are
% 194.23/30.65 | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1869.
% 194.23/30.65 | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.65 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 194.23/30.65 | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.65 | | | | | | | | | | | | | | | | | | | | | | | | | (2657) ((all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 =
% 194.23/30.65 | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_56_11 = e0 &
% 194.23/30.65 | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e0)) & ((all_56_12 = e0 & op(e0,
% 194.23/30.65 | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e0) | (all_56_13 = e0 & op(e0, e2) =
% 194.23/30.65 | | | | | | | | | | | | | | | | | | | | | | | | | e0) | (all_56_14 = e0 & op(e0, e1) = e0))
% 194.23/30.65 | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.65 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2657) implies:
% 194.23/30.65 | | | | | | | | | | | | | | | | | | | | | | | | | (2658) (all_56_12 = e0 & op(e0, e3) = e0) | (all_56_13 =
% 194.23/30.65 | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0) | (all_56_14 = e0 & op(e0,
% 194.23/30.65 | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0)
% 194.23/30.65 | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.65 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_11,
% 194.23/30.65 | | | | | | | | | | | | | | | | | | | | | | | | | e0, e1, e0, simplifying with (157), (2648) gives:
% 194.23/30.65 | | | | | | | | | | | | | | | | | | | | | | | | | (2659) all_52_11 = e0
% 194.23/30.65 | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.65 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_3,
% 194.23/30.65 | | | | | | | | | | | | | | | | | | | | | | | | | all_34_1, e3, e0, simplifying with (159), (2630)
% 194.23/30.65 | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 194.23/30.65 | | | | | | | | | | | | | | | | | | | | | | | | | (2660) all_52_3 = all_34_1
% 194.23/30.65 | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.65 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_3,
% 194.23/30.65 | | | | | | | | | | | | | | | | | | | | | | | | | all_44_1, e3, e0, simplifying with (159), (2641)
% 194.23/30.65 | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 194.23/30.65 | | | | | | | | | | | | | | | | | | | | | | | | | (2661) all_52_3 = all_44_1
% 194.23/30.65 | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.65 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_14,
% 194.23/30.65 | | | | | | | | | | | | | | | | | | | | | | | | | e0, e0, e1, simplifying with (160), (2654) gives:
% 194.23/30.65 | | | | | | | | | | | | | | | | | | | | | | | | | (2662) all_52_14 = e0
% 194.23/30.65 | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.65 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2660), (2661) imply:
% 194.23/30.65 | | | | | | | | | | | | | | | | | | | | | | | | | (2663) all_44_1 = all_34_1
% 194.23/30.65 | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.65 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (249), (2660) imply:
% 194.23/30.65 | | | | | | | | | | | | | | | | | | | | | | | | | (2664) all_54_12 = all_34_1
% 194.23/30.65 | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.65 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (148), (2660) imply:
% 194.23/30.65 | | | | | | | | | | | | | | | | | | | | | | | | | (2665) ~ (all_52_1 = all_34_1)
% 194.23/30.65 | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.65 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (144), (2660) imply:
% 194.23/30.65 | | | | | | | | | | | | | | | | | | | | | | | | | (2666) ~ (all_52_2 = all_34_1)
% 194.23/30.65 | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.65 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1567), (2660) imply:
% 194.23/30.65 | | | | | | | | | | | | | | | | | | | | | | | | | (2667) ~ (all_34_1 = all_20_1)
% 194.23/30.65 | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.65 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2197), (2660) imply:
% 194.23/30.65 | | | | | | | | | | | | | | | | | | | | | | | | | (2668) ~ (all_34_1 = e2)
% 194.23/30.65 | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.65 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2634), (2660) imply:
% 194.23/30.65 | | | | | | | | | | | | | | | | | | | | | | | | | (2669) ~ (all_34_1 = e0)
% 194.23/30.65 | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.65 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1571), (2659) imply:
% 194.23/30.65 | | | | | | | | | | | | | | | | | | | | | | | | | (2670) ~ (all_20_1 = e0)
% 194.23/30.65 | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.65 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (195) gives:
% 194.23/30.65 | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.65 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 194.23/30.65 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.65 | | | | | | | | | | | | | | | | | | | | | | | | | | (2671) all_54_9 = e3
% 194.23/30.65 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.65 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (258), (2470), (2671) are inconsistent by
% 194.23/30.65 | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1346.
% 194.23/30.65 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.65 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 194.23/30.65 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.65 | | | | | | | | | | | | | | | | | | | | | | | | | | (2672) ~ (all_54_9 = e3)
% 194.23/30.65 | | | | | | | | | | | | | | | | | | | | | | | | | | (2673) all_54_9 = e2 | all_54_9 = e1 | all_54_9 = e0
% 194.23/30.65 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.65 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (191) gives:
% 194.23/30.65 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.65 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 194.23/30.65 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2674) all_54_13 = e3
% 194.23/30.65 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1566), (2674) imply:
% 194.23/30.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2675) all_20_1 = e3
% 194.23/30.65 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2675) implies:
% 194.23/30.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2676) all_20_1 = e3
% 194.23/30.65 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1568), (2676) imply:
% 194.23/30.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2677) ~ (all_52_4 = e3)
% 194.23/30.65 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2667), (2676) imply:
% 194.23/30.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2678) ~ (all_34_1 = e3)
% 194.23/30.65 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (192) gives:
% 194.23/30.65 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 194.23/30.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2679) all_54_12 = e3
% 194.23/30.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2664), (2678), (2679) are inconsistent by
% 194.23/30.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1345.
% 194.23/30.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 194.23/30.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2680) ~ (all_54_12 = e3)
% 194.23/30.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2681) all_54_12 = e2 | all_54_12 = e1 | all_54_12 = e0
% 194.23/30.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2681) gives:
% 194.23/30.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 194.23/30.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2682) all_54_12 = e2
% 194.23/30.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2664), (2668), (2682) are inconsistent by
% 194.23/30.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1344.
% 194.23/30.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 194.23/30.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2683) ~ (all_54_12 = e2)
% 194.23/30.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2684) all_54_12 = e1 | all_54_12 = e0
% 194.23/30.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (228) gives:
% 194.23/30.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 194.23/30.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2685) (all_56_1 = e3 & op(e3, e2) = e3) | (all_56_3 = e3
% 194.23/30.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e3)
% 194.23/30.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (170), (1551), (2677), (2685),
% 194.23/30.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 194.23/30.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1351.
% 194.23/30.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 194.23/30.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2686) (all_56_7 = e3 & op(e1, e2) = e3) | (all_56_13 =
% 194.23/30.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e2) = e3)
% 194.23/30.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2686) gives:
% 194.23/30.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 194.23/30.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2687) all_56_7 = e3 & op(e1, e2) = e3
% 194.23/30.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (162), (2470), (2687), (function-axioms) are
% 194.23/30.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1827.
% 194.23/30.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 194.23/30.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2688) all_56_13 = e3 & op(e0, e2) = e3
% 194.23/30.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2688) implies:
% 194.23/30.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2689) all_56_13 = e3
% 194.23/30.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (207) gives:
% 194.23/30.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 194.23/30.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2690) (all_56_12 = e1 & op(e0, e3) = e1) | (all_56_13 =
% 194.23/30.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e2) = e1)
% 194.23/30.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2690) gives:
% 194.23/30.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 194.23/30.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2691) all_56_12 = e1 & op(e0, e3) = e1
% 194.23/30.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2691) implies:
% 194.23/30.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2692) all_56_12 = e1
% 194.23/30.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (235) gives:
% 194.23/30.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 194.23/30.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2693) (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_2 = e3
% 194.23/30.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e3)
% 194.23/30.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2693) gives:
% 194.23/30.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 194.23/30.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2694) all_56_0 = e3 & op(e3, e3) = e3
% 194.23/30.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2694) implies:
% 194.23/30.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2695) op(e3, e3) = e3
% 194.23/30.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (2637), (2695), (function-axioms) are
% 194.23/30.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1922.
% 194.23/30.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 194.23/30.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2696) all_56_2 = e3 & op(e2, e3) = e3
% 194.23/30.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2696) implies:
% 194.23/30.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2697) all_56_2 = e3
% 194.23/30.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2698) op(e2, e3) = e3
% 194.23/30.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (233) gives:
% 194.23/30.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 194.23/30.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2699) (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2
% 194.23/30.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e2)
% 194.23/30.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (9), (2637), (2698), (2699),
% 194.23/30.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 194.23/30.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1343.
% 194.23/30.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 194.23/30.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2700) (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_12 =
% 194.23/30.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e3) = e2)
% 194.23/30.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2700) gives:
% 194.23/30.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 194.23/30.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2701) all_56_6 = e2 & op(e1, e3) = e2
% 194.23/30.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2701) implies:
% 194.23/30.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2702) all_56_6 = e2
% 194.23/30.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (214) gives:
% 194.23/30.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 194.23/30.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2703) (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_7 = e1
% 194.23/30.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e1)
% 194.23/30.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2703) gives:
% 194.23/30.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 194.23/30.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2704) all_56_6 = e1 & op(e1, e3) = e1
% 194.23/30.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (2702), (2704) are inconsistent by sub-proof
% 194.23/30.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1350.
% 194.23/30.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 194.23/30.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2705) all_56_7 = e1 & op(e1, e2) = e1
% 194.23/30.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2705) implies:
% 194.23/30.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2706) op(e1, e2) = e1
% 194.23/30.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (227) gives:
% 194.23/30.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 194.23/30.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2707) (all_56_1 = e2 & op(e3, e2) = e2) | (all_56_3 = e2
% 194.23/30.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e2)
% 194.23/30.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2707) gives:
% 194.23/30.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 194.23/30.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2708) all_56_1 = e2 & op(e3, e2) = e2
% 194.23/30.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2708) implies:
% 194.23/30.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2709) op(e3, e2) = e2
% 194.23/30.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (223) gives:
% 194.23/30.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 194.23/30.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2710) (all_56_2 = e2 & op(e2, e3) = e2) | (all_56_3 = e2
% 194.23/30.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e2)
% 194.23/30.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (9), (1551), (2698), (2710),
% 194.23/30.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 194.23/30.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1342.
% 194.23/30.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 194.23/30.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2711) (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_10 =
% 194.23/30.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2)
% 194.23/30.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2711) gives:
% 194.23/30.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 194.23/30.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2712) all_56_5 = e2 & op(e2, e1) = e2
% 194.23/30.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2712) implies:
% 194.23/30.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2713) all_56_5 = e2
% 194.23/30.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2684) gives:
% 194.23/30.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 194.23/30.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2714) all_54_12 = e1
% 194.23/30.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2664), (2714) imply:
% 194.23/30.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2715) all_34_1 = e1
% 194.23/30.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2666), (2715) imply:
% 194.23/30.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2716) ~ (all_52_2 = e1)
% 194.23/30.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2678), (2715) imply:
% 194.23/30.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2717) ~ (e3 = e1)
% 194.23/30.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2668), (2715) imply:
% 194.23/30.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2718) ~ (e2 = e1)
% 194.23/30.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (210) gives:
% 194.23/30.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 194.23/30.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2719) (all_56_9 = e1 & op(e3, e0) = e1) | (all_56_10 =
% 194.23/30.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e2, e0) = e1)
% 194.23/30.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2719) gives:
% 194.23/30.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 194.23/30.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2720) all_56_9 = e1 & op(e3, e0) = e1
% 194.23/30.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2720) implies:
% 194.23/30.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2721) all_56_9 = e1
% 194.23/30.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8), (169), (170), (236), (2471), (2637),
% 194.23/30.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2677), (2721), (function-axioms) are inconsistent
% 194.23/30.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1349.
% 194.23/30.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 194.23/30.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2722) all_56_10 = e1 & op(e2, e0) = e1
% 194.23/30.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2722) implies:
% 194.23/30.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2723) all_56_10 = e1
% 194.23/30.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (196) gives:
% 194.23/30.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 194.23/30.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2724) all_54_8 = e3
% 194.23/30.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (259), (2469), (2724) are inconsistent by
% 194.23/30.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1393.
% 194.23/30.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 194.23/30.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2725) ~ (all_54_8 = e3)
% 194.23/30.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2726) all_54_8 = e2 | all_54_8 = e1 | all_54_8 = e0
% 194.23/30.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2726) gives:
% 194.23/30.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 194.23/30.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2727) all_54_8 = e2
% 194.23/30.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (259), (2727) imply:
% 194.23/30.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2728) all_52_2 = e2
% 194.23/30.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2728) implies:
% 194.23/30.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2729) all_52_2 = e2
% 194.23/30.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (149), (2729) imply:
% 194.23/30.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2730) ~ (all_52_1 = e2)
% 194.23/30.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (163), (2729) imply:
% 194.23/30.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2731) op(e1, e3) = e2
% 194.23/30.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (238) gives:
% 194.23/30.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 194.23/30.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2732) (all_57_3 = e3 & ~ (all_57_1 = e2) & ~ (all_57_8
% 194.23/30.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_10 = e2) & ~ (all_57_12 =
% 194.23/30.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_14 = e0) & op(e3, e3) =
% 194.23/30.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e2) = e3 & op(e2, all_57_9) =
% 194.23/30.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_8 & op(e2, all_57_11) = all_57_10 &
% 194.23/30.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_13) = all_57_12 & op(e2,
% 194.23/30.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15) = all_57_14 & op(e2, e3) = all_57_9
% 194.23/30.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = all_57_11 & op(e2, e1) =
% 194.23/30.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_13 & op(e2, e0) = all_57_15 &
% 194.23/30.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_8) & $i(all_57_9) &
% 194.23/30.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & $i(all_57_11) & $i(all_57_12) &
% 194.23/30.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13) & $i(all_57_14) & $i(all_57_15)) |
% 194.23/30.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_5 = e3 & ~ (all_57_1 = e1) & ~
% 194.23/30.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_16 = e3) & ~ (all_57_18 = e2) & ~
% 194.23/30.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_22 = e0) & op(e3,
% 194.23/30.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_1 & op(e3, e1) = e3 & op(e1,
% 194.23/30.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17) = all_57_16 & op(e1, all_57_19) =
% 194.23/30.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_18 & op(e1, all_57_21) = all_57_20 &
% 194.23/30.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_23) = all_57_22 & op(e1, e3) =
% 194.23/30.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e1, e2) = all_57_19 & op(e1, e1)
% 194.23/30.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_21 & op(e1, e0) = all_57_23 &
% 194.23/30.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_16) & $i(all_57_17) &
% 194.23/30.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_19) & $i(all_57_20) &
% 194.23/30.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_22) & $i(all_57_23)) |
% 194.23/30.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_7 = e3 & ~ (all_57_1 = e0) & ~
% 194.23/30.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 194.23/30.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) & op(e3,
% 194.23/30.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_1 & op(e3, e0) = e3 & op(e0,
% 194.23/30.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25) = all_57_24 & op(e0, all_57_27) =
% 194.23/30.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e0, all_57_29) = all_57_28 &
% 194.23/30.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_31) = all_57_30 & op(e0, e3) =
% 194.23/30.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_27 & op(e0, e1)
% 194.23/30.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_29 & op(e0, e0) = all_57_31 &
% 194.23/30.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_24) & $i(all_57_25) &
% 194.23/30.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_27) & $i(all_57_28) &
% 194.23/30.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29) & $i(all_57_30) & $i(all_57_31)) |
% 194.23/30.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e2 & ~ (all_57_0 = e3) & ~ (all_57_2
% 194.23/30.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2) & ~ (all_57_4 = e1) & ~ (all_57_6 =
% 194.23/30.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_11 = e3) & op(e3, all_57_1) =
% 194.23/30.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_0 & op(e3, all_57_3) = all_57_2 & op(e3,
% 194.23/30.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_5) = all_57_4 & op(e3, all_57_7) =
% 194.23/30.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_6 & op(e3, e3) = all_57_1 & op(e3, e2) =
% 194.23/30.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 & op(e3, e1) = all_57_5 & op(e3, e0) =
% 194.23/30.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7 & op(e2, e3) = e2 & op(e2, e2) =
% 194.23/30.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_11 & $i(all_57_0) & $i(all_57_1) &
% 194.23/30.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_2) & $i(all_57_3) & $i(all_57_4) &
% 194.23/30.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 194.23/30.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11))
% 194.23/30.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2732) gives:
% 194.23/30.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 194.23/30.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2733) (all_57_3 = e3 & ~ (all_57_1 = e2) & ~ (all_57_8
% 194.23/30.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_10 = e2) & ~ (all_57_12 =
% 194.23/30.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_14 = e0) & op(e3, e3) =
% 194.23/30.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e2) = e3 & op(e2, all_57_9) =
% 194.23/30.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_8 & op(e2, all_57_11) = all_57_10 &
% 194.23/30.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_13) = all_57_12 & op(e2,
% 194.23/30.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15) = all_57_14 & op(e2, e3) = all_57_9
% 194.23/30.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = all_57_11 & op(e2, e1) =
% 194.23/30.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_13 & op(e2, e0) = all_57_15 &
% 194.23/30.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_8) & $i(all_57_9) &
% 194.23/30.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & $i(all_57_11) & $i(all_57_12) &
% 194.23/30.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13) & $i(all_57_14) & $i(all_57_15)) |
% 194.23/30.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_5 = e3 & ~ (all_57_1 = e1) & ~
% 194.23/30.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_16 = e3) & ~ (all_57_18 = e2) & ~
% 194.23/30.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_22 = e0) & op(e3,
% 194.23/30.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_1 & op(e3, e1) = e3 & op(e1,
% 194.23/30.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17) = all_57_16 & op(e1, all_57_19) =
% 194.23/30.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_18 & op(e1, all_57_21) = all_57_20 &
% 194.23/30.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_23) = all_57_22 & op(e1, e3) =
% 194.23/30.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e1, e2) = all_57_19 & op(e1, e1)
% 194.23/30.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_21 & op(e1, e0) = all_57_23 &
% 194.23/30.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_16) & $i(all_57_17) &
% 194.23/30.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_19) & $i(all_57_20) &
% 194.23/30.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_22) & $i(all_57_23))
% 194.23/30.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (2654), (2709), (2733), (function-axioms) are
% 194.23/30.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1341.
% 194.23/30.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 194.23/30.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2734) (all_57_7 = e3 & ~ (all_57_1 = e0) & ~
% 194.23/30.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 194.23/30.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) & op(e3,
% 194.23/30.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_1 & op(e3, e0) = e3 & op(e0,
% 194.23/30.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25) = all_57_24 & op(e0, all_57_27) =
% 194.23/30.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e0, all_57_29) = all_57_28 &
% 194.23/30.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_31) = all_57_30 & op(e0, e3) =
% 194.23/30.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_27 & op(e0, e1)
% 194.23/30.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_29 & op(e0, e0) = all_57_31 &
% 194.23/30.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_24) & $i(all_57_25) &
% 194.23/30.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_27) & $i(all_57_28) &
% 194.23/30.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29) & $i(all_57_30) & $i(all_57_31)) |
% 194.23/30.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e2 & ~ (all_57_0 = e3) & ~ (all_57_2
% 194.23/30.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2) & ~ (all_57_4 = e1) & ~ (all_57_6 =
% 194.23/30.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_11 = e3) & op(e3, all_57_1) =
% 194.23/30.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_0 & op(e3, all_57_3) = all_57_2 & op(e3,
% 194.23/30.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_5) = all_57_4 & op(e3, all_57_7) =
% 194.23/30.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_6 & op(e3, e3) = all_57_1 & op(e3, e2) =
% 194.23/30.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 & op(e3, e1) = all_57_5 & op(e3, e0) =
% 194.23/30.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7 & op(e2, e3) = e2 & op(e2, e2) =
% 194.23/30.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_11 & $i(all_57_0) & $i(all_57_1) &
% 194.23/30.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_2) & $i(all_57_3) & $i(all_57_4) &
% 194.23/30.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 194.23/30.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11))
% 194.23/30.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (167), (2637), (2730), (2734), (function-axioms)
% 194.23/30.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1901.
% 194.23/30.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 194.23/30.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 194.23/30.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2735) (all_57_13 = e2 & ~ (all_57_11 = e1) & ~
% 194.23/30.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_16 = e3) & ~ (all_57_18 = e2) & ~
% 194.23/30.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_22 = e0) & op(e2,
% 194.23/30.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_11 & op(e2, e1) = e2 & op(e1,
% 194.23/30.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17) = all_57_16 & op(e1, all_57_19) =
% 194.23/30.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_18 & op(e1, all_57_21) = all_57_20 &
% 194.23/30.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_23) = all_57_22 & op(e1, e3) =
% 194.23/30.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e1, e2) = all_57_19 & op(e1, e1)
% 194.23/30.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_21 & op(e1, e0) = all_57_23 &
% 194.23/30.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_16) & $i(all_57_17) &
% 194.23/30.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_19) & $i(all_57_20) &
% 194.23/30.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_22) & $i(all_57_23)) |
% 194.23/30.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e2 & ~ (all_57_11 = e0) & ~
% 194.23/30.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 194.23/30.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) & op(e2,
% 194.23/30.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_11 & op(e2, e0) = e2 & op(e0,
% 194.23/30.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25) = all_57_24 & op(e0, all_57_27) =
% 194.23/30.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e0, all_57_29) = all_57_28 &
% 194.23/30.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_31) = all_57_30 & op(e0, e3) =
% 194.23/30.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_27 & op(e0, e1)
% 194.23/30.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_29 & op(e0, e0) = all_57_31 &
% 194.23/30.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_24) & $i(all_57_25) &
% 194.23/30.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_27) & $i(all_57_28) &
% 194.23/30.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29) & $i(all_57_30) & $i(all_57_31)) |
% 194.23/30.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_17 = e1 & ~ (all_57_0 = e3) & ~
% 194.23/30.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e2) & ~ (all_57_4 = e1) & ~
% 194.23/30.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_6 = e0) & ~ (all_57_21 = e3) & op(e3,
% 194.23/30.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1) = all_57_0 & op(e3, all_57_3) =
% 194.23/30.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_2 & op(e3, all_57_5) = all_57_4 & op(e3,
% 194.23/30.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7) = all_57_6 & op(e3, e3) = all_57_1 &
% 194.23/30.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_3 & op(e3, e1) = all_57_5 &
% 194.23/30.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_7 & op(e1, e3) = e1 & op(e1,
% 194.23/30.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_21 & $i(all_57_0) & $i(all_57_1)
% 194.23/30.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_2) & $i(all_57_3) & $i(all_57_4) &
% 194.23/30.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 194.23/30.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21)) | (all_57_19 = e1 & ~ (all_57_8
% 194.23/30.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_10 = e2) & ~ (all_57_12 =
% 194.23/30.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_14 = e0) & ~ (all_57_21 =
% 194.23/30.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & op(e2, all_57_9) = all_57_8 & op(e2,
% 194.23/30.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_11) = all_57_10 & op(e2, all_57_13) =
% 194.23/30.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & op(e2, all_57_15) = all_57_14 &
% 194.23/30.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_9 & op(e2, e2) = all_57_11 &
% 194.23/30.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_57_13 & op(e2, e0) = all_57_15
% 194.23/30.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e1 & op(e1, e1) = all_57_21 &
% 194.23/30.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8) & $i(all_57_9) & $i(all_57_10) &
% 194.23/30.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_12) & $i(all_57_13) &
% 194.23/30.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & $i(all_57_15) & $i(all_57_21)) |
% 194.23/30.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (op(e0, e0) = all_57_31 & $i(all_57_31) &
% 194.23/30.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_23 = e1 & ~ (all_57_21 = e0) & ~
% 194.23/30.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 194.23/30.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) &
% 194.23/30.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_21 & op(e1, e0) = e1 &
% 194.23/30.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_25) = all_57_24 & op(e0,
% 194.23/30.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27) = all_57_26 & op(e0, all_57_29)
% 194.23/30.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_28 & op(e0, all_57_31) = all_57_30
% 194.23/30.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e3) = all_57_25 & op(e0, e2) =
% 194.23/30.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27 & op(e0, e1) = all_57_29 &
% 194.23/30.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_24) &
% 194.23/30.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_25) & $i(all_57_26) &
% 194.23/30.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27) & $i(all_57_28) &
% 194.23/30.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29) & $i(all_57_30)) | (all_57_25
% 194.23/30.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & ~ (all_57_0 = e3) & ~ (all_57_2 =
% 194.23/30.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_4 = e1) & ~ (all_57_6 =
% 194.23/30.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_31 = e3) & op(e3,
% 194.23/30.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1) = all_57_0 & op(e3, all_57_3) =
% 194.23/30.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_2 & op(e3, all_57_5) = all_57_4 &
% 194.23/30.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, all_57_7) = all_57_6 & op(e3, e3) =
% 194.23/30.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e2) = all_57_3 & op(e3,
% 194.23/30.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_5 & op(e3, e0) = all_57_7 &
% 194.23/30.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_0) &
% 194.23/30.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_2) & $i(all_57_3) &
% 194.23/30.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4) & $i(all_57_5) & $i(all_57_6) &
% 194.23/30.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7)) | (all_57_27 = e0 & ~
% 194.23/30.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e3) & ~ (all_57_10 = e2) & ~
% 194.23/30.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e1) & ~ (all_57_14 = e0) & ~
% 194.23/30.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e2) & op(e2, all_57_9) =
% 194.23/30.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_8 & op(e2, all_57_11) = all_57_10 &
% 194.23/30.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_13) = all_57_12 & op(e2,
% 194.23/30.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15) = all_57_14 & op(e2, e3) =
% 194.23/30.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_9 & op(e2, e2) = all_57_11 & op(e2,
% 194.23/30.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_13 & op(e2, e0) = all_57_15 &
% 194.23/30.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_8) &
% 194.23/30.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9) & $i(all_57_10) & $i(all_57_11)
% 194.23/30.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_12) & $i(all_57_13) &
% 194.23/30.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & $i(all_57_15)) | (all_57_29
% 194.23/30.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & ~ (all_57_16 = e3) & ~ (all_57_18 =
% 194.23/30.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_20 = e1) & ~ (all_57_22
% 194.23/30.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_31 = e1) & op(e1,
% 194.23/30.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17) = all_57_16 & op(e1, all_57_19)
% 194.23/30.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_18 & op(e1, all_57_21) = all_57_20
% 194.23/30.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, all_57_23) = all_57_22 & op(e1, e3)
% 194.23/30.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_17 & op(e1, e2) = all_57_19 &
% 194.23/30.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_21 & op(e1, e0) =
% 194.23/30.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23 & op(e0, e1) = e0 & $i(all_57_16)
% 194.23/30.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_17) & $i(all_57_18) &
% 194.23/30.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_20) &
% 194.23/30.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_22) &
% 194.23/30.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23))))
% 194.23/30.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2735) gives:
% 194.23/30.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 194.23/30.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2736) (all_57_13 = e2 & ~ (all_57_11 = e1) & ~
% 194.23/30.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_16 = e3) & ~ (all_57_18 = e2) & ~
% 194.23/30.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_22 = e0) & op(e2,
% 194.23/30.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_11 & op(e2, e1) = e2 & op(e1,
% 194.23/30.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17) = all_57_16 & op(e1, all_57_19) =
% 194.23/30.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_18 & op(e1, all_57_21) = all_57_20 &
% 194.23/30.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_23) = all_57_22 & op(e1, e3) =
% 194.23/30.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e1, e2) = all_57_19 & op(e1, e1)
% 194.23/30.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_21 & op(e1, e0) = all_57_23 &
% 194.23/30.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_16) & $i(all_57_17) &
% 194.23/30.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_19) & $i(all_57_20) &
% 194.23/30.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_22) & $i(all_57_23)) |
% 194.23/30.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e2 & ~ (all_57_11 = e0) & ~
% 194.23/30.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 194.23/30.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) & op(e2,
% 194.23/30.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_11 & op(e2, e0) = e2 & op(e0,
% 194.23/30.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25) = all_57_24 & op(e0, all_57_27) =
% 194.23/30.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e0, all_57_29) = all_57_28 &
% 194.23/30.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_31) = all_57_30 & op(e0, e3) =
% 194.23/30.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_27 & op(e0, e1)
% 194.23/30.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_29 & op(e0, e0) = all_57_31 &
% 194.23/30.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_24) & $i(all_57_25) &
% 194.23/30.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_27) & $i(all_57_28) &
% 194.23/30.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29) & $i(all_57_30) & $i(all_57_31))
% 194.23/30.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (1551), (2654), (2736), (function-axioms) are
% 194.23/30.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1427.
% 194.23/30.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 194.23/30.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2737) (all_57_17 = e1 & ~ (all_57_0 = e3) & ~
% 194.23/30.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e2) & ~ (all_57_4 = e1) & ~
% 194.23/30.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_6 = e0) & ~ (all_57_21 = e3) & op(e3,
% 194.23/30.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1) = all_57_0 & op(e3, all_57_3) =
% 194.23/30.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_2 & op(e3, all_57_5) = all_57_4 & op(e3,
% 194.23/30.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7) = all_57_6 & op(e3, e3) = all_57_1 &
% 194.23/30.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_3 & op(e3, e1) = all_57_5 &
% 194.23/30.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_7 & op(e1, e3) = e1 & op(e1,
% 194.23/30.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_21 & $i(all_57_0) & $i(all_57_1)
% 194.23/30.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_2) & $i(all_57_3) & $i(all_57_4) &
% 194.23/30.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 194.23/30.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21)) | (all_57_19 = e1 & ~ (all_57_8
% 194.23/30.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_10 = e2) & ~ (all_57_12 =
% 194.23/30.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_14 = e0) & ~ (all_57_21 =
% 194.23/30.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & op(e2, all_57_9) = all_57_8 & op(e2,
% 194.23/30.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_11) = all_57_10 & op(e2, all_57_13) =
% 194.23/30.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & op(e2, all_57_15) = all_57_14 &
% 194.23/30.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_9 & op(e2, e2) = all_57_11 &
% 194.23/30.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_57_13 & op(e2, e0) = all_57_15
% 194.23/30.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e1 & op(e1, e1) = all_57_21 &
% 194.23/30.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8) & $i(all_57_9) & $i(all_57_10) &
% 194.23/30.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_12) & $i(all_57_13) &
% 194.23/30.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & $i(all_57_15) & $i(all_57_21)) |
% 194.23/30.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (op(e0, e0) = all_57_31 & $i(all_57_31) &
% 194.23/30.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_23 = e1 & ~ (all_57_21 = e0) & ~
% 194.23/30.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 194.23/30.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) &
% 194.23/30.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_21 & op(e1, e0) = e1 &
% 194.23/30.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_25) = all_57_24 & op(e0,
% 194.23/30.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27) = all_57_26 & op(e0, all_57_29)
% 194.23/30.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_28 & op(e0, all_57_31) = all_57_30
% 194.23/30.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e3) = all_57_25 & op(e0, e2) =
% 194.23/30.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27 & op(e0, e1) = all_57_29 &
% 194.23/30.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_24) &
% 194.23/30.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_25) & $i(all_57_26) &
% 194.23/30.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27) & $i(all_57_28) &
% 194.23/30.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29) & $i(all_57_30)) | (all_57_25
% 194.23/30.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & ~ (all_57_0 = e3) & ~ (all_57_2 =
% 194.23/30.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_4 = e1) & ~ (all_57_6 =
% 194.23/30.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_31 = e3) & op(e3,
% 194.23/30.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1) = all_57_0 & op(e3, all_57_3) =
% 194.23/30.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_2 & op(e3, all_57_5) = all_57_4 &
% 194.23/30.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, all_57_7) = all_57_6 & op(e3, e3) =
% 194.23/30.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e2) = all_57_3 & op(e3,
% 194.23/30.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_5 & op(e3, e0) = all_57_7 &
% 194.23/30.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_0) &
% 194.23/30.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_2) & $i(all_57_3) &
% 194.23/30.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4) & $i(all_57_5) & $i(all_57_6) &
% 194.23/30.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7)) | (all_57_27 = e0 & ~
% 194.23/30.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e3) & ~ (all_57_10 = e2) & ~
% 194.23/30.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e1) & ~ (all_57_14 = e0) & ~
% 194.23/30.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e2) & op(e2, all_57_9) =
% 194.23/30.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_8 & op(e2, all_57_11) = all_57_10 &
% 194.23/30.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_13) = all_57_12 & op(e2,
% 194.23/30.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15) = all_57_14 & op(e2, e3) =
% 194.23/30.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_9 & op(e2, e2) = all_57_11 & op(e2,
% 194.23/30.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_13 & op(e2, e0) = all_57_15 &
% 194.23/30.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_8) &
% 194.23/30.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9) & $i(all_57_10) & $i(all_57_11)
% 194.23/30.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_12) & $i(all_57_13) &
% 194.23/30.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & $i(all_57_15)) | (all_57_29
% 194.23/30.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & ~ (all_57_16 = e3) & ~ (all_57_18 =
% 194.23/30.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_20 = e1) & ~ (all_57_22
% 194.23/30.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_31 = e1) & op(e1,
% 194.23/30.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17) = all_57_16 & op(e1, all_57_19)
% 194.23/30.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_18 & op(e1, all_57_21) = all_57_20
% 194.23/30.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, all_57_23) = all_57_22 & op(e1, e3)
% 194.23/30.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_17 & op(e1, e2) = all_57_19 &
% 194.23/30.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_21 & op(e1, e0) =
% 194.23/30.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23 & op(e0, e1) = e0 & $i(all_57_16)
% 194.23/30.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_17) & $i(all_57_18) &
% 194.23/30.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_20) &
% 194.23/30.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_22) &
% 194.23/30.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23))))
% 194.23/30.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2737) gives:
% 194.23/30.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 194.23/30.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2738) all_57_17 = e1 & ~ (all_57_0 = e3) & ~ (all_57_2
% 194.23/30.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2) & ~ (all_57_4 = e1) & ~ (all_57_6 = e0)
% 194.23/30.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_21 = e3) & op(e3, all_57_1) =
% 194.23/30.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_0 & op(e3, all_57_3) = all_57_2 & op(e3,
% 194.23/30.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_5) = all_57_4 & op(e3, all_57_7) =
% 194.23/30.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_6 & op(e3, e3) = all_57_1 & op(e3, e2) =
% 194.23/30.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 & op(e3, e1) = all_57_5 & op(e3, e0) =
% 194.23/30.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7 & op(e1, e3) = e1 & op(e1, e1) =
% 194.23/30.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_21 & $i(all_57_0) & $i(all_57_1) &
% 194.23/30.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_2) & $i(all_57_3) & $i(all_57_4) &
% 194.23/30.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 194.23/30.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21)
% 194.23/30.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2738) implies:
% 194.23/30.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2739) op(e1, e3) = e1
% 194.23/30.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (9), (223), (1551), (2664), (2668), (2669),
% 194.23/30.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2684), (2697), (2713), (2723), (2731), (2739),
% 194.23/30.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 194.23/30.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1339.
% 194.23/30.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 194.23/30.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2740) (all_57_19 = e1 & ~ (all_57_8 = e3) & ~
% 194.23/30.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e2) & ~ (all_57_12 = e1) & ~
% 194.23/30.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e0) & ~ (all_57_21 = e2) & op(e2,
% 194.23/30.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_9) = all_57_8 & op(e2, all_57_11) =
% 194.23/30.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e2, all_57_13) = all_57_12 &
% 194.23/30.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_15) = all_57_14 & op(e2, e3) =
% 194.23/30.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_9 & op(e2, e2) = all_57_11 & op(e2, e1) =
% 194.23/30.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_13 & op(e2, e0) = all_57_15 & op(e1, e2)
% 194.23/30.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & op(e1, e1) = all_57_21 & $i(all_57_8) &
% 194.23/30.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9) & $i(all_57_10) & $i(all_57_11) &
% 194.23/30.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & $i(all_57_13) & $i(all_57_14) &
% 194.23/30.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & $i(all_57_21)) | (op(e0, e0) =
% 194.23/30.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_31 & $i(all_57_31) & ((all_57_23 = e1 &
% 194.23/30.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_21 = e0) & ~ (all_57_24 = e3) &
% 194.23/30.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_26 = e2) & ~ (all_57_28 = e1) &
% 194.23/30.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_30 = e0) & op(e1, e1) = all_57_21
% 194.23/30.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e0) = e1 & op(e0, all_57_25) =
% 194.23/30.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_24 & op(e0, all_57_27) = all_57_26 &
% 194.23/30.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_29) = all_57_28 & op(e0,
% 194.23/30.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_31) = all_57_30 & op(e0, e3) =
% 194.23/30.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_27 & op(e0,
% 194.23/30.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_29 & $i(all_57_21) &
% 194.23/30.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_24) & $i(all_57_25) &
% 194.23/30.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_27) &
% 194.23/30.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28) & $i(all_57_29) &
% 194.23/30.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_25 = e0 & ~
% 194.23/30.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_0 = e3) & ~ (all_57_2 = e2) & ~
% 194.23/30.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1) & ~ (all_57_6 = e0) & ~
% 194.23/30.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e3) & op(e3, all_57_1) =
% 194.23/30.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_0 & op(e3, all_57_3) = all_57_2 &
% 194.23/30.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, all_57_5) = all_57_4 & op(e3,
% 194.23/30.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7) = all_57_6 & op(e3, e3) =
% 194.23/30.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e2) = all_57_3 & op(e3,
% 194.23/30.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_5 & op(e3, e0) = all_57_7 &
% 194.23/30.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_0) &
% 194.23/30.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_2) & $i(all_57_3) &
% 194.23/30.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4) & $i(all_57_5) & $i(all_57_6) &
% 194.23/30.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7)) | (all_57_27 = e0 & ~
% 194.23/30.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e3) & ~ (all_57_10 = e2) & ~
% 194.23/30.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e1) & ~ (all_57_14 = e0) & ~
% 194.23/30.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e2) & op(e2, all_57_9) =
% 194.23/30.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_8 & op(e2, all_57_11) = all_57_10 &
% 194.23/30.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_13) = all_57_12 & op(e2,
% 194.23/30.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15) = all_57_14 & op(e2, e3) =
% 194.23/30.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_9 & op(e2, e2) = all_57_11 & op(e2,
% 194.23/30.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_13 & op(e2, e0) = all_57_15 &
% 194.23/30.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_8) &
% 194.23/30.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9) & $i(all_57_10) & $i(all_57_11)
% 194.23/30.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_12) & $i(all_57_13) &
% 194.23/30.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & $i(all_57_15)) | (all_57_29
% 194.23/30.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & ~ (all_57_16 = e3) & ~ (all_57_18 =
% 194.23/30.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_20 = e1) & ~ (all_57_22
% 194.23/30.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_31 = e1) & op(e1,
% 194.23/30.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17) = all_57_16 & op(e1, all_57_19)
% 194.23/30.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_18 & op(e1, all_57_21) = all_57_20
% 194.23/30.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, all_57_23) = all_57_22 & op(e1, e3)
% 194.23/30.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_17 & op(e1, e2) = all_57_19 &
% 194.23/30.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_21 & op(e1, e0) =
% 194.23/30.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23 & op(e0, e1) = e0 & $i(all_57_16)
% 194.23/30.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_17) & $i(all_57_18) &
% 194.23/30.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_20) &
% 194.23/30.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_22) &
% 194.23/30.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23))))
% 194.23/30.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2740) gives:
% 194.23/30.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 194.23/30.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2741) all_57_19 = e1 & ~ (all_57_8 = e3) & ~
% 194.23/30.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e2) & ~ (all_57_12 = e1) & ~
% 194.23/30.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e0) & ~ (all_57_21 = e2) & op(e2,
% 194.23/30.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_9) = all_57_8 & op(e2, all_57_11) =
% 194.23/30.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e2, all_57_13) = all_57_12 & op(e2,
% 194.23/30.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15) = all_57_14 & op(e2, e3) = all_57_9 &
% 194.23/30.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_11 & op(e2, e1) = all_57_13 &
% 194.23/30.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_15 & op(e1, e2) = e1 & op(e1,
% 194.23/30.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_21 & $i(all_57_8) & $i(all_57_9) &
% 194.23/30.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & $i(all_57_11) & $i(all_57_12) &
% 194.23/30.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13) & $i(all_57_14) & $i(all_57_15) &
% 194.23/30.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21)
% 194.23/30.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2741) implies:
% 194.23/30.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2742) ~ (all_57_8 = e3)
% 194.23/30.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2743) op(e2, e3) = all_57_9
% 194.23/30.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2744) op(e2, all_57_9) = all_57_8
% 194.23/30.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2698), (2742), (2743), (2744), (function-axioms)
% 194.23/30.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1830.
% 194.23/30.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 194.23/30.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2745) op(e0, e0) = all_57_31 & $i(all_57_31) &
% 194.23/30.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_23 = e1 & ~ (all_57_21 = e0) & ~
% 194.23/30.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 194.23/30.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) &
% 194.23/30.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_21 & op(e1, e0) = e1 &
% 194.23/30.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_25) = all_57_24 & op(e0,
% 194.23/30.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27) = all_57_26 & op(e0, all_57_29) =
% 194.23/30.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_28 & op(e0, all_57_31) = all_57_30 &
% 194.23/30.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_25 & op(e0, e2) =
% 194.23/30.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27 & op(e0, e1) = all_57_29 &
% 194.23/30.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_24) & $i(all_57_25)
% 194.23/30.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_26) & $i(all_57_27) &
% 194.23/30.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28) & $i(all_57_29) & $i(all_57_30))
% 194.23/30.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_25 = e0 & ~ (all_57_0 = e3) & ~
% 194.23/30.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e2) & ~ (all_57_4 = e1) & ~
% 194.23/30.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_6 = e0) & ~ (all_57_31 = e3) & op(e3,
% 194.23/30.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1) = all_57_0 & op(e3, all_57_3) =
% 194.23/30.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_2 & op(e3, all_57_5) = all_57_4 &
% 194.23/30.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, all_57_7) = all_57_6 & op(e3, e3) =
% 194.23/30.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e2) = all_57_3 & op(e3, e1)
% 194.23/30.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_5 & op(e3, e0) = all_57_7 & op(e0,
% 194.23/30.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e0 & $i(all_57_0) & $i(all_57_1) &
% 194.23/30.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_2) & $i(all_57_3) & $i(all_57_4) &
% 194.23/30.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_6) & $i(all_57_7)) |
% 194.23/30.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_27 = e0 & ~ (all_57_8 = e3) & ~
% 194.23/30.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e2) & ~ (all_57_12 = e1) & ~
% 194.23/30.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e0) & ~ (all_57_31 = e2) &
% 194.23/30.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_9) = all_57_8 & op(e2,
% 194.23/30.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_11) = all_57_10 & op(e2, all_57_13) =
% 194.23/30.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & op(e2, all_57_15) = all_57_14 &
% 194.23/30.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_9 & op(e2, e2) = all_57_11
% 194.23/30.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = all_57_13 & op(e2, e0) =
% 194.23/30.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15 & op(e0, e2) = e0 & $i(all_57_8) &
% 194.23/30.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9) & $i(all_57_10) & $i(all_57_11) &
% 194.23/30.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & $i(all_57_13) & $i(all_57_14)
% 194.23/30.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_15)) | (all_57_29 = e0 & ~
% 194.23/30.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_16 = e3) & ~ (all_57_18 = e2) & ~
% 194.23/30.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_22 = e0) & ~
% 194.23/30.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e1) & op(e1, all_57_17) =
% 194.23/30.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_16 & op(e1, all_57_19) = all_57_18 &
% 194.23/30.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_21) = all_57_20 & op(e1,
% 194.23/30.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23) = all_57_22 & op(e1, e3) =
% 194.23/30.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e1, e2) = all_57_19 & op(e1,
% 194.23/30.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_21 & op(e1, e0) = all_57_23 &
% 194.23/30.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_16) &
% 194.23/30.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_17) & $i(all_57_18) & $i(all_57_19)
% 194.23/30.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_20) & $i(all_57_21) &
% 194.23/30.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_23)))
% 194.23/30.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2745) implies:
% 194.23/30.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2746) (all_57_23 = e1 & ~ (all_57_21 = e0) & ~
% 194.23/30.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 194.23/30.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) & op(e1,
% 194.23/30.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_21 & op(e1, e0) = e1 & op(e0,
% 194.23/30.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25) = all_57_24 & op(e0, all_57_27) =
% 194.23/30.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e0, all_57_29) = all_57_28 &
% 194.23/30.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_31) = all_57_30 & op(e0, e3) =
% 194.23/30.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_27 & op(e0, e1)
% 194.23/30.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_29 & $i(all_57_21) & $i(all_57_24) &
% 194.23/30.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_25) & $i(all_57_26) & $i(all_57_27) &
% 194.23/30.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28) & $i(all_57_29) & $i(all_57_30)) |
% 194.23/30.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_25 = e0 & ~ (all_57_0 = e3) & ~
% 194.23/30.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e2) & ~ (all_57_4 = e1) & ~
% 194.23/30.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_6 = e0) & ~ (all_57_31 = e3) & op(e3,
% 194.23/30.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1) = all_57_0 & op(e3, all_57_3) =
% 194.23/30.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_2 & op(e3, all_57_5) = all_57_4 & op(e3,
% 194.23/30.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7) = all_57_6 & op(e3, e3) = all_57_1 &
% 194.23/30.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_3 & op(e3, e1) = all_57_5 &
% 194.23/30.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_7 & op(e0, e3) = e0 &
% 194.23/30.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_0) & $i(all_57_1) & $i(all_57_2) &
% 194.23/30.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_3) & $i(all_57_4) & $i(all_57_5) &
% 194.23/30.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_6) & $i(all_57_7)) | (all_57_27 = e0 &
% 194.23/30.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_8 = e3) & ~ (all_57_10 = e2) & ~
% 194.23/30.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e1) & ~ (all_57_14 = e0) & ~
% 194.23/30.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e2) & op(e2, all_57_9) = all_57_8 &
% 194.23/30.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_11) = all_57_10 & op(e2,
% 194.23/30.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_13) = all_57_12 & op(e2, all_57_15) =
% 194.23/30.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_14 & op(e2, e3) = all_57_9 & op(e2, e2) =
% 194.23/30.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_11 & op(e2, e1) = all_57_13 & op(e2, e0)
% 194.23/30.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_15 & op(e0, e2) = e0 & $i(all_57_8) &
% 194.23/30.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9) & $i(all_57_10) & $i(all_57_11) &
% 194.23/30.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & $i(all_57_13) & $i(all_57_14) &
% 194.23/30.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15)) | (all_57_29 = e0 & ~ (all_57_16
% 194.23/30.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_18 = e2) & ~ (all_57_20 =
% 194.23/30.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_22 = e0) & ~ (all_57_31 =
% 194.23/30.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & op(e1, all_57_17) = all_57_16 & op(e1,
% 194.23/30.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_19) = all_57_18 & op(e1, all_57_21) =
% 194.23/30.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20 & op(e1, all_57_23) = all_57_22 &
% 194.23/30.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_17 & op(e1, e2) = all_57_19
% 194.23/30.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = all_57_21 & op(e1, e0) =
% 194.23/30.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23 & op(e0, e1) = e0 & $i(all_57_16) &
% 194.23/30.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_17) & $i(all_57_18) & $i(all_57_19) &
% 194.23/30.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_20) & $i(all_57_21) & $i(all_57_22) &
% 194.23/30.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23))
% 194.23/30.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (158), (159), (1546), (2634), (2654), (2746),
% 194.23/30.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 194.23/30.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1338.
% 194.23/30.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 194.23/30.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 194.23/30.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 194.23/30.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 194.23/30.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 194.23/30.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2747) all_54_8 = e1 | all_54_8 = e0
% 194.23/30.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (259), (2633), (2716), (2747) are inconsistent by
% 194.23/30.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1377.
% 194.23/30.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 194.23/30.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 194.23/30.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 194.23/30.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 194.23/30.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2748) (all_56_11 = e1 & op(e1, e0) = e1) | (all_56_15 =
% 194.23/30.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = e1)
% 194.23/30.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2748) gives:
% 194.23/30.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 194.23/30.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2749) all_56_11 = e1 & op(e1, e0) = e1
% 194.23/30.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2749) implies:
% 194.23/30.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2750) op(e1, e0) = e1
% 194.23/30.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (2654), (2750), (function-axioms) are
% 194.23/30.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1577.
% 194.23/30.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 194.23/30.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2751) all_56_15 = e1 & op(e0, e0) = e1
% 194.23/30.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2751) implies:
% 194.23/30.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2752) op(e0, e0) = e1
% 194.23/30.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (206), (208), (209),
% 194.23/30.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2647), (2692), (2752), (function-axioms) are
% 194.23/30.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1335.
% 194.23/30.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 194.23/30.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 194.23/30.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 194.23/30.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2753) all_54_12 = e0
% 194.23/30.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2664), (2753) imply:
% 194.23/30.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2754) all_34_1 = e0
% 194.23/30.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2669), (2754) imply:
% 194.23/30.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2755) $false
% 194.23/30.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2755) is inconsistent.
% 194.23/30.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 194.23/30.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 194.23/30.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2756) all_56_10 = e2 & op(e2, e0) = e2
% 194.23/30.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2756) implies:
% 194.23/30.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2757) op(e2, e0) = e2
% 194.23/30.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (2200), (2757), (function-axioms) are
% 194.23/30.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1941.
% 194.23/30.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 194.23/30.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 194.23/30.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 194.23/30.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2758) all_56_3 = e2 & op(e2, e2) = e2
% 194.23/30.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2758) implies:
% 194.23/30.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2759) op(e2, e2) = e2
% 194.23/30.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (1551), (2759), (function-axioms) are
% 194.23/30.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1960.
% 194.23/30.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 194.23/30.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 194.23/30.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2760) (all_56_7 = e2 & op(e1, e2) = e2) | (all_56_13 =
% 194.23/30.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e2)
% 194.23/30.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (1538), (2202), (2706), (2760),
% 194.23/30.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 194.23/30.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1334.
% 194.23/30.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 194.23/30.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 194.23/30.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 194.23/30.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2761) (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_11 =
% 194.23/30.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e1, e0) = e1)
% 194.23/30.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (8), (9), (157), (169), (220),
% 194.23/30.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (222), (223), (1551), (2471), (2473), (2654),
% 194.23/30.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2697), (2761), (function-axioms) are inconsistent
% 194.23/30.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1328.
% 194.23/30.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 194.23/30.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 194.23/30.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2762) all_56_12 = e2 & op(e0, e3) = e2
% 194.23/30.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2762) implies:
% 194.23/30.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2763) all_56_12 = e2
% 194.23/30.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2764) op(e0, e3) = e2
% 194.23/30.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (45), (158), (207),
% 194.23/30.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (209), (376), (1546), (2204), (2658), (2763),
% 194.23/30.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2764), (function-axioms) are inconsistent by
% 194.23/30.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1327.
% 194.23/30.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 194.23/30.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 194.23/30.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 194.23/30.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 194.23/30.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2765) (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_12 =
% 194.23/30.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e3) = e3)
% 194.23/30.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2765) gives:
% 194.23/30.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 194.23/30.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2766) all_56_6 = e3 & op(e1, e3) = e3
% 194.23/30.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2766) implies:
% 194.23/30.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2767) all_56_6 = e3
% 194.23/30.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2768) op(e1, e3) = e3
% 194.23/30.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (7), (8), (9), (160), (162), (213),
% 194.23/30.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (214), (215), (1545), (2201), (2475), (2767),
% 194.23/30.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2768), (function-axioms) are inconsistent by
% 194.23/30.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1352.
% 194.23/30.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 194.23/30.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2769) all_56_12 = e3 & op(e0, e3) = e3
% 194.23/30.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (8), (45), (158), (206), (209),
% 194.23/30.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (376), (1546), (2204), (2689), (2692), (2769),
% 194.23/30.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 194.23/30.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1324.
% 194.23/30.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 194.23/30.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 194.23/30.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 194.23/30.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2770) all_56_13 = e1 & op(e0, e2) = e1
% 194.23/30.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (2689), (2770) are inconsistent by sub-proof
% 194.23/30.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1772.
% 194.23/30.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 194.23/30.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 194.23/30.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2771) (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 =
% 194.23/30.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = e1)
% 194.23/30.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (9), (157), (159), (208), (2197),
% 194.23/30.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2198), (2647), (2689), (2771), (function-axioms)
% 194.23/30.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1323.
% 194.23/30.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 194.23/30.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 194.23/30.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 194.23/30.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 194.23/30.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 194.23/30.67 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.67 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 194.23/30.67 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2772) all_54_13 = e2 | all_54_13 = e1 | all_54_13 = e0
% 194.23/30.67 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2772) gives:
% 194.23/30.67 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 194.23/30.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2773) all_54_13 = e2
% 194.23/30.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (1566), (2202), (2773) are inconsistent by
% 194.23/30.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1322.
% 194.23/30.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 194.23/30.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2774) ~ (all_54_13 = e2)
% 194.23/30.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2775) all_54_13 = e1 | all_54_13 = e0
% 194.23/30.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (228) gives:
% 194.23/30.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 194.23/30.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2776) (all_56_1 = e3 & op(e3, e2) = e3) | (all_56_3 = e3
% 194.23/30.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e3)
% 194.23/30.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2776) gives:
% 194.23/30.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 194.23/30.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2777) all_56_1 = e3 & op(e3, e2) = e3
% 194.23/30.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2777) implies:
% 194.23/30.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2778) all_56_1 = e3
% 194.23/30.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2779) op(e3, e2) = e3
% 194.23/30.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (227) gives:
% 194.23/30.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 194.23/30.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2780) (all_56_1 = e2 & op(e3, e2) = e2) | (all_56_3 = e2
% 194.23/30.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e2)
% 194.23/30.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (9), (1551), (2779), (2780),
% 194.23/30.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 194.23/30.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1321.
% 194.23/30.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 194.23/30.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2781) (all_56_7 = e2 & op(e1, e2) = e2) | (all_56_13 =
% 194.23/30.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e2)
% 194.23/30.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2781) gives:
% 194.23/30.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 194.23/30.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2782) all_56_7 = e2 & op(e1, e2) = e2
% 194.23/30.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2782) implies:
% 194.23/30.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2783) op(e1, e2) = e2
% 194.23/30.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (234) gives:
% 194.23/30.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 194.23/30.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2784) (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_1 = e2
% 194.23/30.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e2)
% 194.23/30.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (9), (2637), (2779), (2784),
% 194.23/30.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 194.23/30.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1320.
% 194.23/30.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 194.23/30.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2785) (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_9 = e2
% 194.23/30.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e2)
% 194.23/30.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2785) gives:
% 194.23/30.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 194.23/30.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2786) all_56_4 = e2 & op(e3, e1) = e2
% 194.23/30.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2786) implies:
% 194.23/30.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2787) all_56_4 = e2
% 194.23/30.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (218) gives:
% 194.23/30.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 194.23/30.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2788) (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_5 = e1
% 194.23/30.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e1)
% 194.23/30.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2788) gives:
% 194.23/30.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 194.23/30.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2789) all_56_4 = e1 & op(e3, e1) = e1
% 194.23/30.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (2787), (2789) are inconsistent by sub-proof
% 194.23/30.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1872.
% 194.23/30.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 194.23/30.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2790) all_56_5 = e1 & op(e2, e1) = e1
% 194.23/30.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2790) implies:
% 194.23/30.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2791) all_56_5 = e1
% 194.23/30.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2792) op(e2, e1) = e1
% 194.23/30.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2775) gives:
% 194.23/30.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 194.23/30.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2793) all_54_13 = e1
% 194.23/30.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1566), (2793) imply:
% 194.23/30.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2794) all_20_1 = e1
% 194.23/30.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2794) implies:
% 194.23/30.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2795) all_20_1 = e1
% 194.23/30.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1568), (2795) imply:
% 194.23/30.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2796) ~ (all_52_4 = e1)
% 194.23/30.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1569), (2795) imply:
% 194.23/30.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2797) ~ (all_52_6 = e1)
% 194.23/30.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2667), (2795) imply:
% 194.23/30.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2798) ~ (all_34_1 = e1)
% 194.23/30.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2202), (2795) imply:
% 194.23/30.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2799) ~ (e2 = e1)
% 194.23/30.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (192) gives:
% 194.23/30.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 194.23/30.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2800) all_54_12 = e3
% 194.23/30.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2664), (2800) imply:
% 194.23/30.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2801) all_34_1 = e3
% 194.23/30.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2801) implies:
% 194.23/30.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2802) all_34_1 = e3
% 194.23/30.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2665), (2802) imply:
% 194.23/30.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2803) ~ (all_52_1 = e3)
% 194.23/30.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (224) gives:
% 194.23/30.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 194.23/30.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2804) (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3
% 194.23/30.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e3)
% 194.23/30.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (167), (1551), (2803), (2804),
% 194.23/30.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 194.23/30.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1391.
% 194.23/30.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 194.23/30.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2805) (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 =
% 194.23/30.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e0) = e3)
% 194.23/30.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2805) gives:
% 194.23/30.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 194.23/30.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2806) all_56_5 = e3 & op(e2, e1) = e3
% 194.23/30.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2806) implies:
% 194.23/30.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2807) op(e2, e1) = e3
% 194.23/30.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (2472), (2807), (function-axioms) are
% 194.23/30.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1861.
% 194.23/30.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 194.23/30.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2808) all_56_10 = e3 & op(e2, e0) = e3
% 194.23/30.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2808) implies:
% 194.23/30.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2809) all_56_10 = e3
% 194.23/30.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (223) gives:
% 194.23/30.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 194.23/30.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2810) (all_56_2 = e2 & op(e2, e3) = e2) | (all_56_3 = e2
% 194.23/30.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e2)
% 194.23/30.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2810) gives:
% 194.23/30.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 194.23/30.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2811) all_56_2 = e2 & op(e2, e3) = e2
% 194.23/30.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2811) implies:
% 194.23/30.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2812) all_56_2 = e2
% 194.23/30.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2813) op(e2, e3) = e2
% 194.23/30.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (207) gives:
% 194.23/30.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 194.23/30.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2814) (all_56_12 = e1 & op(e0, e3) = e1) | (all_56_13 =
% 194.23/30.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e2) = e1)
% 194.23/30.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2814) gives:
% 194.23/30.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 194.23/30.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2815) all_56_12 = e1 & op(e0, e3) = e1
% 194.23/30.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2815) implies:
% 194.23/30.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2816) all_56_12 = e1
% 194.23/30.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (45), (158), (170),
% 194.23/30.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (206), (209), (226), (376), (1546), (1551),
% 194.23/30.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2204), (2783), (2796), (2816), (function-axioms)
% 194.23/30.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1319.
% 194.23/30.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 194.23/30.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2817) all_56_13 = e1 & op(e0, e2) = e1
% 194.23/30.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2817) implies:
% 194.23/30.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2818) all_56_13 = e1
% 194.23/30.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (232) gives:
% 194.23/30.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 194.23/30.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2819) (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_1 = e1
% 194.23/30.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e1)
% 194.23/30.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (170), (2637), (2796), (2819),
% 194.23/30.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 194.23/30.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1318.
% 194.23/30.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 194.23/30.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2820) (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_9 = e1
% 194.23/30.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e1)
% 194.23/30.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2820) gives:
% 194.23/30.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 194.23/30.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2821) all_56_4 = e1 & op(e3, e1) = e1
% 194.23/30.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (2787), (2821) are inconsistent by sub-proof
% 194.23/30.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1872.
% 194.23/30.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 194.23/30.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2822) all_56_9 = e1 & op(e3, e0) = e1
% 194.23/30.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2822) implies:
% 194.23/30.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2823) all_56_9 = e1
% 194.23/30.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2673) gives:
% 194.23/30.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 194.23/30.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2824) all_54_9 = e2
% 194.23/30.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (258), (2824) imply:
% 194.23/30.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2825) all_52_6 = e2
% 194.23/30.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2825) implies:
% 194.23/30.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2826) all_52_6 = e2
% 194.23/30.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (143), (2826) imply:
% 194.23/30.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2827) ~ (all_52_2 = e2)
% 194.23/30.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (235) gives:
% 194.23/30.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 194.23/30.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2828) (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_2 = e3
% 194.23/30.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e3)
% 194.23/30.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (9), (2637), (2813), (2828),
% 194.23/30.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 194.23/30.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1317.
% 194.23/30.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 194.23/30.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2829) (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_12 =
% 194.23/30.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e3) = e3)
% 194.23/30.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2829) gives:
% 194.23/30.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 194.23/30.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2830) all_56_6 = e3 & op(e1, e3) = e3
% 194.23/30.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2830) implies:
% 194.23/30.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2831) all_56_6 = e3
% 194.23/30.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2832) op(e1, e3) = e3
% 194.23/30.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (162), (213), (214),
% 194.23/30.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (215), (226), (227), (228), (1545), (1551),
% 194.23/30.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2475), (2487), (2778), (2831), (2832),
% 194.23/30.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 194.23/30.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1312.
% 194.23/30.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 194.23/30.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2833) all_56_12 = e3 & op(e0, e3) = e3
% 194.23/30.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2833) implies:
% 194.23/30.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2834) all_56_12 = e3
% 194.23/30.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2835) op(e0, e3) = e3
% 194.23/30.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (231) gives:
% 194.23/30.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 194.23/30.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2836) (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_2 = e1
% 194.23/30.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e1)
% 194.23/30.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2836) gives:
% 194.23/30.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 194.23/30.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2837) all_56_0 = e1 & op(e3, e3) = e1
% 194.23/30.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2837) implies:
% 194.23/30.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2838) op(e3, e3) = e1
% 194.23/30.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (158), (162), (222),
% 194.23/30.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (223), (224), (225), (226), (227), (228), (230),
% 194.23/30.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1545), (1546), (1551), (2787), (2791), (2809),
% 194.23/30.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2812), (2823), (2838), (function-axioms) are
% 194.23/30.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1308.
% 194.23/30.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 194.23/30.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2839) all_56_2 = e1 & op(e2, e3) = e1
% 194.23/30.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2839) implies:
% 194.23/30.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2840) all_56_2 = e1
% 194.23/30.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (9), (51), (163), (233), (377), (2827),
% 194.23/30.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2834), (2840), (function-axioms) are inconsistent
% 194.23/30.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1304.
% 194.23/30.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 194.23/30.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 194.23/30.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2841) (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_12 =
% 194.23/30.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e3) = e1)
% 194.23/30.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2841) gives:
% 194.23/30.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 194.23/30.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2842) all_56_6 = e1 & op(e1, e3) = e1
% 194.23/30.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2842) implies:
% 194.23/30.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2843) op(e1, e3) = e1
% 194.23/30.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (239) gives:
% 194.23/30.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 194.23/30.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2844) (all_57_1 = e2 & ~ (all_57_3 = e3) & ~ (all_57_8
% 194.23/30.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_10 = e2) & ~ (all_57_12 =
% 194.23/30.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_14 = e0) & op(e3, e3) = e2 &
% 194.23/30.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_3 & op(e2, all_57_9) =
% 194.23/30.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_8 & op(e2, all_57_11) = all_57_10 &
% 194.23/30.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_13) = all_57_12 & op(e2,
% 194.23/30.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15) = all_57_14 & op(e2, e3) = all_57_9
% 194.23/30.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = all_57_11 & op(e2, e1) =
% 194.23/30.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_13 & op(e2, e0) = all_57_15 &
% 194.23/30.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_3) & $i(all_57_8) & $i(all_57_9) &
% 194.23/30.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & $i(all_57_11) & $i(all_57_12) &
% 194.23/30.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13) & $i(all_57_14) & $i(all_57_15)) |
% 194.23/30.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e1 & ~ (all_57_5 = e3) & ~
% 194.23/30.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_16 = e3) & ~ (all_57_18 = e2) & ~
% 194.23/30.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_22 = e0) & op(e3,
% 194.23/30.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e1 & op(e3, e1) = all_57_5 & op(e1,
% 194.23/30.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17) = all_57_16 & op(e1, all_57_19) =
% 194.23/30.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_18 & op(e1, all_57_21) = all_57_20 &
% 194.23/30.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_23) = all_57_22 & op(e1, e3) =
% 194.23/30.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e1, e2) = all_57_19 & op(e1, e1)
% 194.23/30.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_21 & op(e1, e0) = all_57_23 &
% 194.23/30.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_16) & $i(all_57_17) &
% 194.23/30.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_19) & $i(all_57_20) &
% 194.23/30.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_22) & $i(all_57_23)) |
% 194.23/30.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e0 & ~ (all_57_7 = e3) & ~
% 194.23/30.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 194.23/30.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) & op(e3,
% 194.23/30.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e0 & op(e3, e0) = all_57_7 & op(e0,
% 194.23/30.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25) = all_57_24 & op(e0, all_57_27) =
% 194.23/30.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e0, all_57_29) = all_57_28 &
% 194.23/30.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_31) = all_57_30 & op(e0, e3) =
% 194.23/30.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_27 & op(e0, e1)
% 194.23/30.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_29 & op(e0, e0) = all_57_31 &
% 194.23/30.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7) & $i(all_57_24) & $i(all_57_25) &
% 194.23/30.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_27) & $i(all_57_28) &
% 194.23/30.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29) & $i(all_57_30) & $i(all_57_31)) |
% 194.23/30.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e3 & ~ (all_57_0 = e3) & ~
% 194.23/30.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e2) & ~ (all_57_4 = e1) & ~
% 194.23/30.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_6 = e0) & ~ (all_57_9 = e2) & op(e3,
% 194.23/30.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1) = all_57_0 & op(e3, all_57_3) =
% 194.23/30.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_2 & op(e3, all_57_5) = all_57_4 & op(e3,
% 194.23/30.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7) = all_57_6 & op(e3, e3) = all_57_1 &
% 194.23/30.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_3 & op(e3, e1) = all_57_5 &
% 194.23/30.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_7 & op(e2, e3) = all_57_9 &
% 194.23/30.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e3 & $i(all_57_0) & $i(all_57_1) &
% 194.23/30.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_2) & $i(all_57_3) & $i(all_57_4) &
% 194.23/30.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 194.23/30.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9))
% 194.23/30.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2844) gives:
% 194.23/30.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 194.23/30.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2845) (all_57_1 = e2 & ~ (all_57_3 = e3) & ~ (all_57_8
% 194.23/30.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_10 = e2) & ~ (all_57_12 =
% 194.23/30.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_14 = e0) & op(e3, e3) = e2 &
% 194.23/30.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_3 & op(e2, all_57_9) =
% 194.23/30.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_8 & op(e2, all_57_11) = all_57_10 &
% 194.23/30.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_13) = all_57_12 & op(e2,
% 194.23/30.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15) = all_57_14 & op(e2, e3) = all_57_9
% 194.23/30.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = all_57_11 & op(e2, e1) =
% 194.23/30.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_13 & op(e2, e0) = all_57_15 &
% 194.23/30.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_3) & $i(all_57_8) & $i(all_57_9) &
% 194.23/30.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & $i(all_57_11) & $i(all_57_12) &
% 194.23/30.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13) & $i(all_57_14) & $i(all_57_15)) |
% 194.23/30.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e1 & ~ (all_57_5 = e3) & ~
% 194.23/30.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_16 = e3) & ~ (all_57_18 = e2) & ~
% 194.23/30.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_22 = e0) & op(e3,
% 194.23/30.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e1 & op(e3, e1) = all_57_5 & op(e1,
% 194.23/30.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17) = all_57_16 & op(e1, all_57_19) =
% 194.23/30.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_18 & op(e1, all_57_21) = all_57_20 &
% 194.23/30.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_23) = all_57_22 & op(e1, e3) =
% 194.23/30.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e1, e2) = all_57_19 & op(e1, e1)
% 194.23/30.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_21 & op(e1, e0) = all_57_23 &
% 194.23/30.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_16) & $i(all_57_17) &
% 194.23/30.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_19) & $i(all_57_20) &
% 194.23/30.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_22) & $i(all_57_23))
% 194.23/30.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2845) gives:
% 194.23/30.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 194.23/30.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2846) all_57_1 = e2 & ~ (all_57_3 = e3) & ~ (all_57_8
% 194.23/30.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_10 = e2) & ~ (all_57_12 =
% 194.23/30.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_14 = e0) & op(e3, e3) = e2 &
% 194.23/30.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_3 & op(e2, all_57_9) =
% 194.23/30.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_8 & op(e2, all_57_11) = all_57_10 & op(e2,
% 194.23/30.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_13) = all_57_12 & op(e2, all_57_15) =
% 194.23/30.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_14 & op(e2, e3) = all_57_9 & op(e2, e2) =
% 194.23/30.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_11 & op(e2, e1) = all_57_13 & op(e2, e0) =
% 194.23/30.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15 & $i(all_57_3) & $i(all_57_8) &
% 194.23/30.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9) & $i(all_57_10) & $i(all_57_11) &
% 194.23/30.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & $i(all_57_13) & $i(all_57_14) &
% 194.23/30.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15)
% 194.23/30.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2846) implies:
% 194.23/30.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2847) op(e3, e3) = e2
% 194.23/30.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (2637), (2847), (function-axioms) are
% 194.23/30.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1964.
% 194.23/30.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 194.23/30.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2848) all_57_1 = e1 & ~ (all_57_5 = e3) & ~ (all_57_16
% 194.23/30.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_18 = e2) & ~ (all_57_20 =
% 194.23/30.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_22 = e0) & op(e3, e3) = e1 &
% 194.23/30.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_57_5 & op(e1, all_57_17) =
% 194.23/30.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_16 & op(e1, all_57_19) = all_57_18 & op(e1,
% 194.23/30.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_21) = all_57_20 & op(e1, all_57_23) =
% 194.23/30.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_22 & op(e1, e3) = all_57_17 & op(e1, e2) =
% 194.23/30.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_19 & op(e1, e1) = all_57_21 & op(e1, e0) =
% 194.23/30.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23 & $i(all_57_5) & $i(all_57_16) &
% 194.23/30.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_17) & $i(all_57_18) & $i(all_57_19) &
% 194.23/30.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_20) & $i(all_57_21) & $i(all_57_22) &
% 194.23/30.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23)
% 194.23/30.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2848) implies:
% 194.23/30.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2849) op(e3, e3) = e1
% 194.23/30.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (158), (162), (222),
% 194.23/30.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (223), (224), (225), (226), (227), (228), (230),
% 194.23/30.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1545), (1546), (1551), (2787), (2791), (2809),
% 194.23/30.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2812), (2823), (2849), (function-axioms) are
% 194.23/30.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1308.
% 194.23/30.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 194.23/30.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 194.23/30.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2850) (all_57_1 = e0 & ~ (all_57_7 = e3) & ~
% 194.23/30.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 194.23/30.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) & op(e3,
% 194.23/30.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e0 & op(e3, e0) = all_57_7 & op(e0,
% 194.23/30.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25) = all_57_24 & op(e0, all_57_27) =
% 194.23/30.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e0, all_57_29) = all_57_28 &
% 194.23/30.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_31) = all_57_30 & op(e0, e3) =
% 194.23/30.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_27 & op(e0, e1)
% 194.23/30.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_29 & op(e0, e0) = all_57_31 &
% 194.23/30.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7) & $i(all_57_24) & $i(all_57_25) &
% 194.23/30.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_27) & $i(all_57_28) &
% 194.23/30.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29) & $i(all_57_30) & $i(all_57_31)) |
% 194.23/30.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e3 & ~ (all_57_0 = e3) & ~
% 194.23/30.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e2) & ~ (all_57_4 = e1) & ~
% 194.23/30.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_6 = e0) & ~ (all_57_9 = e2) & op(e3,
% 194.23/30.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1) = all_57_0 & op(e3, all_57_3) =
% 194.23/30.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_2 & op(e3, all_57_5) = all_57_4 & op(e3,
% 194.23/30.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7) = all_57_6 & op(e3, e3) = all_57_1 &
% 194.23/30.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_3 & op(e3, e1) = all_57_5 &
% 194.23/30.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_7 & op(e2, e3) = all_57_9 &
% 194.23/30.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e3 & $i(all_57_0) & $i(all_57_1) &
% 194.23/30.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_2) & $i(all_57_3) & $i(all_57_4) &
% 194.23/30.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 194.23/30.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9))
% 194.23/30.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2813), (2835), (2850), (function-axioms) are
% 194.23/30.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1302.
% 194.23/30.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 194.23/30.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 194.23/30.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2851) (all_57_11 = e1 & ~ (all_57_13 = e2) & ~
% 194.23/30.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_16 = e3) & ~ (all_57_18 = e2) & ~
% 194.23/30.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_22 = e0) & op(e2,
% 194.23/30.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e1 & op(e2, e1) = all_57_13 & op(e1,
% 194.23/30.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17) = all_57_16 & op(e1, all_57_19) =
% 194.23/30.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_18 & op(e1, all_57_21) = all_57_20 &
% 194.23/30.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_23) = all_57_22 & op(e1, e3) =
% 194.23/30.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e1, e2) = all_57_19 & op(e1, e1)
% 194.23/30.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_21 & op(e1, e0) = all_57_23 &
% 194.23/30.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13) & $i(all_57_16) & $i(all_57_17) &
% 194.23/30.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_19) & $i(all_57_20) &
% 194.23/30.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_22) & $i(all_57_23)) |
% 194.23/30.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e0 & ~ (all_57_15 = e2) & ~
% 194.23/30.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 194.23/30.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) & op(e2,
% 194.23/30.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e0 & op(e2, e0) = all_57_15 & op(e0,
% 194.23/30.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25) = all_57_24 & op(e0, all_57_27) =
% 194.23/30.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e0, all_57_29) = all_57_28 &
% 194.23/30.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_31) = all_57_30 & op(e0, e3) =
% 194.23/30.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_27 & op(e0, e1)
% 194.23/30.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_29 & op(e0, e0) = all_57_31 &
% 194.23/30.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & $i(all_57_24) & $i(all_57_25) &
% 194.23/30.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_27) & $i(all_57_28) &
% 194.23/30.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29) & $i(all_57_30) & $i(all_57_31)) |
% 194.23/30.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e3 & ~ (all_57_0 = e3) & ~
% 194.23/30.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e2) & ~ (all_57_4 = e1) & ~
% 194.23/30.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_6 = e0) & ~ (all_57_17 = e1) & op(e3,
% 194.23/30.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1) = all_57_0 & op(e3, all_57_3) =
% 194.23/30.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_2 & op(e3, all_57_5) = all_57_4 & op(e3,
% 194.23/30.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7) = all_57_6 & op(e3, e3) = all_57_1 &
% 194.23/30.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_3 & op(e3, e1) = all_57_5 &
% 194.23/30.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_7 & op(e1, e3) = all_57_17 &
% 194.23/30.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e3 & $i(all_57_0) & $i(all_57_1) &
% 194.23/30.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_2) & $i(all_57_3) & $i(all_57_4) &
% 194.23/30.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 194.23/30.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_17)) | (all_57_21 = e2 & ~ (all_57_8
% 194.23/30.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_10 = e2) & ~ (all_57_12 =
% 194.23/30.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_14 = e0) & ~ (all_57_19 =
% 194.23/30.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & op(e2, all_57_9) = all_57_8 & op(e2,
% 194.23/30.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_11) = all_57_10 & op(e2, all_57_13) =
% 194.23/30.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & op(e2, all_57_15) = all_57_14 &
% 194.23/30.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_9 & op(e2, e2) = all_57_11 &
% 194.23/30.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_57_13 & op(e2, e0) = all_57_15
% 194.23/30.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = all_57_19 & op(e1, e1) = e2 &
% 194.23/30.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8) & $i(all_57_9) & $i(all_57_10) &
% 194.23/30.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_12) & $i(all_57_13) &
% 194.23/30.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & $i(all_57_15) & $i(all_57_19)) |
% 194.23/30.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (op(e0, e0) = all_57_31 & $i(all_57_31) &
% 194.23/30.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_21 = e0 & ~ (all_57_23 = e1) & ~
% 194.23/30.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 194.23/30.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) &
% 194.23/30.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = all_57_23 &
% 194.23/30.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_25) = all_57_24 & op(e0,
% 194.23/30.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27) = all_57_26 & op(e0, all_57_29)
% 194.23/30.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_28 & op(e0, all_57_31) = all_57_30
% 194.23/30.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e3) = all_57_25 & op(e0, e2) =
% 194.23/30.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27 & op(e0, e1) = all_57_29 &
% 194.23/30.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23) & $i(all_57_24) &
% 194.23/30.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_25) & $i(all_57_26) &
% 194.23/30.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27) & $i(all_57_28) &
% 194.23/30.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29) & $i(all_57_30)) | (all_57_31
% 194.23/30.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & ~ (all_57_0 = e3) & ~ (all_57_2 =
% 194.23/30.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_4 = e1) & ~ (all_57_6 =
% 194.23/30.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_25 = e0) & op(e3,
% 194.23/30.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1) = all_57_0 & op(e3, all_57_3) =
% 194.23/30.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_2 & op(e3, all_57_5) = all_57_4 &
% 194.23/30.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, all_57_7) = all_57_6 & op(e3, e3) =
% 194.23/30.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e2) = all_57_3 & op(e3,
% 194.23/30.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_5 & op(e3, e0) = all_57_7 &
% 194.23/30.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_25 & $i(all_57_0) &
% 194.23/30.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_2) & $i(all_57_3) &
% 194.23/30.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4) & $i(all_57_5) & $i(all_57_6) &
% 194.23/30.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7) & $i(all_57_25)) | (all_57_31 =
% 194.23/30.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_8 = e3) & ~ (all_57_10 =
% 194.23/30.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_12 = e1) & ~ (all_57_14
% 194.23/30.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_27 = e0) & op(e2,
% 194.23/30.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_9) = all_57_8 & op(e2, all_57_11) =
% 194.23/30.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e2, all_57_13) = all_57_12 &
% 194.23/30.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_15) = all_57_14 & op(e2, e3) =
% 194.23/30.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_9 & op(e2, e2) = all_57_11 & op(e2,
% 194.23/30.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_13 & op(e2, e0) = all_57_15 &
% 194.23/30.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_27 & $i(all_57_8) &
% 194.23/30.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9) & $i(all_57_10) & $i(all_57_11)
% 194.23/30.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_12) & $i(all_57_13) &
% 194.23/30.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & $i(all_57_15) &
% 194.23/30.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27)) | (all_57_31 = e1 & ~
% 194.23/30.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_16 = e3) & ~ (all_57_18 = e2) & ~
% 194.23/30.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_22 = e0) & ~
% 194.23/30.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_29 = e0) & op(e1, all_57_17) =
% 194.23/30.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_16 & op(e1, all_57_19) = all_57_18 &
% 194.23/30.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_21) = all_57_20 & op(e1,
% 194.23/30.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23) = all_57_22 & op(e1, e3) =
% 194.23/30.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e1, e2) = all_57_19 & op(e1,
% 194.23/30.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_21 & op(e1, e0) = all_57_23 &
% 194.23/30.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = all_57_29 & $i(all_57_16) &
% 194.23/30.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_17) & $i(all_57_18) &
% 194.23/30.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_20) &
% 194.23/30.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_22) &
% 194.23/30.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23) & $i(all_57_29))))
% 194.23/30.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2851) gives:
% 194.23/30.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 194.23/30.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2852) (all_57_11 = e1 & ~ (all_57_13 = e2) & ~
% 194.23/30.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_16 = e3) & ~ (all_57_18 = e2) & ~
% 194.23/30.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_22 = e0) & op(e2,
% 194.23/30.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e1 & op(e2, e1) = all_57_13 & op(e1,
% 194.23/30.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17) = all_57_16 & op(e1, all_57_19) =
% 194.23/30.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_18 & op(e1, all_57_21) = all_57_20 &
% 194.23/30.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_23) = all_57_22 & op(e1, e3) =
% 194.23/30.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e1, e2) = all_57_19 & op(e1, e1)
% 194.23/30.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_21 & op(e1, e0) = all_57_23 &
% 194.23/30.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13) & $i(all_57_16) & $i(all_57_17) &
% 194.23/30.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_19) & $i(all_57_20) &
% 194.23/30.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_22) & $i(all_57_23)) |
% 194.23/30.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e0 & ~ (all_57_15 = e2) & ~
% 194.23/30.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 194.23/30.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) & op(e2,
% 194.23/30.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e0 & op(e2, e0) = all_57_15 & op(e0,
% 194.23/30.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25) = all_57_24 & op(e0, all_57_27) =
% 194.23/30.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e0, all_57_29) = all_57_28 &
% 194.23/30.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_31) = all_57_30 & op(e0, e3) =
% 194.23/30.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_27 & op(e0, e1)
% 194.23/30.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_29 & op(e0, e0) = all_57_31 &
% 194.23/30.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & $i(all_57_24) & $i(all_57_25) &
% 194.23/30.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_27) & $i(all_57_28) &
% 194.23/30.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29) & $i(all_57_30) & $i(all_57_31))
% 194.23/30.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (1551), (2835), (2852), (function-axioms) are
% 194.23/30.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1301.
% 194.23/30.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 194.23/30.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2853) (all_57_21 = e3 & ~ (all_57_0 = e3) & ~
% 194.23/30.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e2) & ~ (all_57_4 = e1) & ~
% 194.23/30.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_6 = e0) & ~ (all_57_17 = e1) & op(e3,
% 194.23/30.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1) = all_57_0 & op(e3, all_57_3) =
% 194.23/30.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_2 & op(e3, all_57_5) = all_57_4 & op(e3,
% 194.23/30.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7) = all_57_6 & op(e3, e3) = all_57_1 &
% 194.23/30.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_3 & op(e3, e1) = all_57_5 &
% 194.23/30.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_7 & op(e1, e3) = all_57_17 &
% 194.23/30.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e3 & $i(all_57_0) & $i(all_57_1) &
% 194.23/30.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_2) & $i(all_57_3) & $i(all_57_4) &
% 194.23/30.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 194.23/30.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_17)) | (all_57_21 = e2 & ~ (all_57_8
% 194.23/30.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_10 = e2) & ~ (all_57_12 =
% 194.23/30.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_14 = e0) & ~ (all_57_19 =
% 194.23/30.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & op(e2, all_57_9) = all_57_8 & op(e2,
% 194.23/30.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_11) = all_57_10 & op(e2, all_57_13) =
% 194.23/30.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & op(e2, all_57_15) = all_57_14 &
% 194.23/30.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_9 & op(e2, e2) = all_57_11 &
% 194.23/30.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_57_13 & op(e2, e0) = all_57_15
% 194.23/30.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = all_57_19 & op(e1, e1) = e2 &
% 194.23/30.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8) & $i(all_57_9) & $i(all_57_10) &
% 194.23/30.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_12) & $i(all_57_13) &
% 194.23/30.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & $i(all_57_15) & $i(all_57_19)) |
% 194.23/30.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (op(e0, e0) = all_57_31 & $i(all_57_31) &
% 194.23/30.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_21 = e0 & ~ (all_57_23 = e1) & ~
% 194.23/30.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 194.23/30.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) &
% 194.23/30.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = all_57_23 &
% 194.23/30.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_25) = all_57_24 & op(e0,
% 194.23/30.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27) = all_57_26 & op(e0, all_57_29)
% 194.23/30.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_28 & op(e0, all_57_31) = all_57_30
% 194.23/30.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e3) = all_57_25 & op(e0, e2) =
% 194.23/30.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27 & op(e0, e1) = all_57_29 &
% 194.23/30.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23) & $i(all_57_24) &
% 194.23/30.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_25) & $i(all_57_26) &
% 194.23/30.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27) & $i(all_57_28) &
% 194.23/30.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29) & $i(all_57_30)) | (all_57_31
% 194.23/30.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & ~ (all_57_0 = e3) & ~ (all_57_2 =
% 194.23/30.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_4 = e1) & ~ (all_57_6 =
% 194.23/30.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_25 = e0) & op(e3,
% 194.23/30.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1) = all_57_0 & op(e3, all_57_3) =
% 194.23/30.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_2 & op(e3, all_57_5) = all_57_4 &
% 194.23/30.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, all_57_7) = all_57_6 & op(e3, e3) =
% 194.23/30.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e2) = all_57_3 & op(e3,
% 194.23/30.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_5 & op(e3, e0) = all_57_7 &
% 194.23/30.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_25 & $i(all_57_0) &
% 194.23/30.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_2) & $i(all_57_3) &
% 194.23/30.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4) & $i(all_57_5) & $i(all_57_6) &
% 194.23/30.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7) & $i(all_57_25)) | (all_57_31 =
% 194.23/30.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_8 = e3) & ~ (all_57_10 =
% 194.23/30.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_12 = e1) & ~ (all_57_14
% 194.23/30.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_27 = e0) & op(e2,
% 194.23/30.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_9) = all_57_8 & op(e2, all_57_11) =
% 194.23/30.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e2, all_57_13) = all_57_12 &
% 194.23/30.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_15) = all_57_14 & op(e2, e3) =
% 194.23/30.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_9 & op(e2, e2) = all_57_11 & op(e2,
% 194.23/30.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_13 & op(e2, e0) = all_57_15 &
% 194.23/30.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_27 & $i(all_57_8) &
% 194.23/30.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9) & $i(all_57_10) & $i(all_57_11)
% 194.23/30.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_12) & $i(all_57_13) &
% 194.23/30.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & $i(all_57_15) &
% 194.23/30.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27)) | (all_57_31 = e1 & ~
% 194.23/30.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_16 = e3) & ~ (all_57_18 = e2) & ~
% 194.23/30.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_22 = e0) & ~
% 194.23/30.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_29 = e0) & op(e1, all_57_17) =
% 194.23/30.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_16 & op(e1, all_57_19) = all_57_18 &
% 194.23/30.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_21) = all_57_20 & op(e1,
% 194.23/30.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23) = all_57_22 & op(e1, e3) =
% 194.23/30.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e1, e2) = all_57_19 & op(e1,
% 194.23/30.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_21 & op(e1, e0) = all_57_23 &
% 194.23/30.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = all_57_29 & $i(all_57_16) &
% 194.23/30.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_17) & $i(all_57_18) &
% 194.23/30.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_20) &
% 194.23/30.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_22) &
% 194.23/30.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23) & $i(all_57_29))))
% 194.23/30.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2853) gives:
% 194.23/30.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 194.23/30.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2854) all_57_21 = e3 & ~ (all_57_0 = e3) & ~ (all_57_2
% 194.23/30.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2) & ~ (all_57_4 = e1) & ~ (all_57_6 = e0)
% 194.23/30.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_17 = e1) & op(e3, all_57_1) =
% 194.23/30.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_0 & op(e3, all_57_3) = all_57_2 & op(e3,
% 194.23/30.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_5) = all_57_4 & op(e3, all_57_7) =
% 194.23/30.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_6 & op(e3, e3) = all_57_1 & op(e3, e2) =
% 194.23/30.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 & op(e3, e1) = all_57_5 & op(e3, e0) =
% 194.23/30.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7 & op(e1, e3) = all_57_17 & op(e1, e1) =
% 194.23/30.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & $i(all_57_0) & $i(all_57_1) & $i(all_57_2) &
% 194.23/30.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_3) & $i(all_57_4) & $i(all_57_5) &
% 194.23/30.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_6) & $i(all_57_7) & $i(all_57_17)
% 194.23/30.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2854) implies:
% 194.23/30.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2855) ~ (all_57_17 = e1)
% 194.23/30.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2856) op(e1, e3) = all_57_17
% 194.23/30.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2843), (2855), (2856), (function-axioms) are
% 194.23/30.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1850.
% 194.23/30.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 194.23/30.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2857) (all_57_21 = e2 & ~ (all_57_8 = e3) & ~
% 194.23/30.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e2) & ~ (all_57_12 = e1) & ~
% 194.23/30.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e0) & ~ (all_57_19 = e1) & op(e2,
% 194.23/30.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_9) = all_57_8 & op(e2, all_57_11) =
% 194.23/30.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e2, all_57_13) = all_57_12 &
% 194.23/30.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_15) = all_57_14 & op(e2, e3) =
% 194.23/30.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_9 & op(e2, e2) = all_57_11 & op(e2, e1) =
% 194.23/30.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_13 & op(e2, e0) = all_57_15 & op(e1, e2)
% 194.23/30.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_19 & op(e1, e1) = e2 & $i(all_57_8) &
% 194.23/30.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9) & $i(all_57_10) & $i(all_57_11) &
% 194.23/30.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & $i(all_57_13) & $i(all_57_14) &
% 194.23/30.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & $i(all_57_19)) | (op(e0, e0) =
% 194.23/30.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_31 & $i(all_57_31) & ((all_57_21 = e0 &
% 194.23/30.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_23 = e1) & ~ (all_57_24 = e3) &
% 194.23/30.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_26 = e2) & ~ (all_57_28 = e1) &
% 194.23/30.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_30 = e0) & op(e1, e1) = e0 &
% 194.23/30.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_23 & op(e0, all_57_25) =
% 194.23/30.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_24 & op(e0, all_57_27) = all_57_26 &
% 194.23/30.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_29) = all_57_28 & op(e0,
% 194.23/30.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_31) = all_57_30 & op(e0, e3) =
% 194.23/30.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_27 & op(e0,
% 194.23/30.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_29 & $i(all_57_23) &
% 194.23/30.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_24) & $i(all_57_25) &
% 194.23/30.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_27) &
% 194.23/30.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28) & $i(all_57_29) &
% 194.23/30.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_31 = e3 & ~
% 194.23/30.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_0 = e3) & ~ (all_57_2 = e2) & ~
% 194.23/30.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1) & ~ (all_57_6 = e0) & ~
% 194.23/30.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_25 = e0) & op(e3, all_57_1) =
% 194.23/30.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_0 & op(e3, all_57_3) = all_57_2 &
% 194.23/30.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, all_57_5) = all_57_4 & op(e3,
% 194.23/30.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7) = all_57_6 & op(e3, e3) =
% 194.23/30.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e2) = all_57_3 & op(e3,
% 194.23/30.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_5 & op(e3, e0) = all_57_7 &
% 194.23/30.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_25 & $i(all_57_0) &
% 194.23/30.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_2) & $i(all_57_3) &
% 194.23/30.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4) & $i(all_57_5) & $i(all_57_6) &
% 194.23/30.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7) & $i(all_57_25)) | (all_57_31 =
% 194.23/30.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_8 = e3) & ~ (all_57_10 =
% 194.23/30.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_12 = e1) & ~ (all_57_14
% 194.23/30.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_27 = e0) & op(e2,
% 194.23/30.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_9) = all_57_8 & op(e2, all_57_11) =
% 194.23/30.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e2, all_57_13) = all_57_12 &
% 194.23/30.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_15) = all_57_14 & op(e2, e3) =
% 194.23/30.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_9 & op(e2, e2) = all_57_11 & op(e2,
% 194.23/30.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_13 & op(e2, e0) = all_57_15 &
% 194.23/30.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_27 & $i(all_57_8) &
% 194.23/30.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9) & $i(all_57_10) & $i(all_57_11)
% 194.23/30.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_12) & $i(all_57_13) &
% 194.23/30.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & $i(all_57_15) &
% 194.23/30.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27)) | (all_57_31 = e1 & ~
% 194.23/30.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_16 = e3) & ~ (all_57_18 = e2) & ~
% 194.23/30.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_22 = e0) & ~
% 194.23/30.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_29 = e0) & op(e1, all_57_17) =
% 194.23/30.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_16 & op(e1, all_57_19) = all_57_18 &
% 194.23/30.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_21) = all_57_20 & op(e1,
% 194.23/30.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23) = all_57_22 & op(e1, e3) =
% 194.23/30.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e1, e2) = all_57_19 & op(e1,
% 194.23/30.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_21 & op(e1, e0) = all_57_23 &
% 194.23/30.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = all_57_29 & $i(all_57_16) &
% 194.23/30.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_17) & $i(all_57_18) &
% 194.23/30.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_20) &
% 194.23/30.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_22) &
% 194.23/30.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23) & $i(all_57_29))))
% 194.23/30.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (160), (206), (210),
% 194.23/30.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (211), (2201), (2475), (2648), (2792), (2809),
% 194.23/30.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2835), (2857), (function-axioms) are inconsistent
% 194.23/30.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1521.
% 194.23/30.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 194.23/30.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 194.23/30.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 194.23/30.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 194.23/30.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2858) all_56_12 = e1 & op(e0, e3) = e1
% 194.23/30.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2858) implies:
% 194.23/30.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2859) all_56_12 = e1
% 194.23/30.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8), (45), (209), (376), (2647), (2818),
% 194.23/30.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2859), (function-axioms) are inconsistent by
% 194.23/30.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1541.
% 194.23/30.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 194.23/30.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 194.23/30.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 194.23/30.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 194.23/30.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 194.23/30.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2860) all_54_9 = e1 | all_54_9 = e0
% 194.23/30.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (258), (1545), (2797), (2860) are inconsistent by
% 194.23/30.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1298.
% 194.23/30.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 194.23/30.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 194.23/30.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 194.23/30.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 194.23/30.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 194.23/30.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2861) (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 =
% 194.23/30.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = e1)
% 194.23/30.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2861) gives:
% 194.23/30.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 194.23/30.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2862) all_56_14 = e1 & op(e0, e1) = e1
% 194.23/30.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2862) implies:
% 194.23/30.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2863) all_56_14 = e1
% 194.23/30.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2647), (2863) imply:
% 194.23/30.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2864) e1 = e0
% 194.23/30.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (158), (162), (222),
% 194.23/30.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (223), (224), (225), (226), (227), (228), (1545),
% 194.23/30.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1546), (1551), (2791), (2809), (2864),
% 194.23/30.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 194.23/30.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1309.
% 194.23/30.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 194.23/30.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2865) all_56_15 = e1 & op(e0, e0) = e1
% 194.23/30.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2865) implies:
% 194.23/30.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2866) op(e0, e0) = e1
% 194.23/30.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (2204), (2866), (function-axioms) are
% 194.23/30.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1843.
% 194.23/30.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 194.23/30.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 194.23/30.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 194.23/30.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2867) all_56_3 = e2 & op(e2, e2) = e2
% 194.23/30.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2867) implies:
% 194.23/30.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2868) op(e2, e2) = e2
% 194.23/30.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (1551), (2868), (function-axioms) are
% 194.23/30.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1960.
% 194.23/30.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 194.23/30.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 194.23/30.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2869) (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_10 =
% 194.23/30.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2)
% 194.23/30.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2869) gives:
% 194.23/30.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 194.23/30.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2870) all_56_5 = e2 & op(e2, e1) = e2
% 194.23/30.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2870) implies:
% 194.23/30.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2871) all_56_5 = e2
% 194.23/30.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (2791), (2871) are inconsistent by sub-proof
% 194.23/30.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1454.
% 194.23/30.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 194.23/30.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2872) all_56_10 = e2 & op(e2, e0) = e2
% 194.23/30.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2872) implies:
% 194.23/30.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2873) op(e2, e0) = e2
% 194.23/30.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (2200), (2873), (function-axioms) are
% 194.23/30.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1941.
% 194.23/30.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 194.23/30.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 194.23/30.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 194.23/30.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 194.23/30.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 194.23/30.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2874) all_54_12 = e2 | all_54_12 = e1 | all_54_12 = e0
% 194.23/30.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2664), (2668), (2669), (2798), (2874) are
% 194.23/30.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1380.
% 194.23/30.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 194.23/30.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 194.23/30.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2875) all_54_13 = e0
% 194.23/30.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (1566), (1573), (2875) are inconsistent by
% 194.23/30.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1297.
% 194.23/30.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 194.23/30.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 194.23/30.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 194.23/30.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2876) (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_14 =
% 194.23/30.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e1) = e1)
% 194.23/30.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (8), (2475), (2647), (2876),
% 194.23/30.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 194.23/30.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1519.
% 194.23/30.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 194.23/30.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 194.23/30.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2877) all_56_9 = e2 & op(e3, e0) = e2
% 194.23/30.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (168), (2199), (2877), (function-axioms) are
% 194.23/30.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1760.
% 194.23/30.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 194.23/30.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 194.23/30.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 194.23/30.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2878) all_56_13 = e2 & op(e0, e2) = e2
% 194.23/30.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (1538), (2202), (2878), (function-axioms) are
% 194.23/30.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1348.
% 194.23/30.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 194.23/30.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 194.23/30.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 194.23/30.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2879) all_56_3 = e3 & op(e2, e2) = e3
% 194.23/30.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2879) implies:
% 194.23/30.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2880) op(e2, e2) = e3
% 194.23/30.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (1551), (2880), (function-axioms) are
% 194.23/30.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1661.
% 194.23/30.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 194.23/30.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 194.23/30.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2881) (all_56_7 = e3 & op(e1, e2) = e3) | (all_56_13 =
% 194.23/30.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e2) = e3)
% 194.23/30.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2881) gives:
% 194.23/30.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 194.23/30.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2882) all_56_7 = e3 & op(e1, e2) = e3
% 194.23/30.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (162), (2470), (2882), (function-axioms) are
% 194.23/30.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1827.
% 194.23/30.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 194.23/30.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2883) all_56_13 = e3 & op(e0, e2) = e3
% 194.23/30.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2883) implies:
% 194.23/30.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2884) all_56_13 = e3
% 194.23/30.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2775) gives:
% 194.23/30.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 194.23/30.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2885) all_54_13 = e1
% 194.23/30.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1566), (2885) imply:
% 194.23/30.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2886) all_20_1 = e1
% 194.23/30.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2886) implies:
% 194.23/30.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2887) all_20_1 = e1
% 194.23/30.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2667), (2887) imply:
% 194.23/30.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2888) ~ (all_34_1 = e1)
% 194.23/30.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2202), (2887) imply:
% 194.23/30.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2889) ~ (e2 = e1)
% 194.23/30.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (192) gives:
% 194.23/30.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 194.23/30.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2890) all_54_12 = e3
% 194.23/30.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2664), (2890) imply:
% 194.23/30.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2891) all_34_1 = e3
% 194.23/30.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2891) implies:
% 194.23/30.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2892) all_34_1 = e3
% 194.23/30.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2665), (2892) imply:
% 194.23/30.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2893) ~ (all_52_1 = e3)
% 194.23/30.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (207) gives:
% 194.23/30.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 194.23/30.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2894) (all_56_12 = e1 & op(e0, e3) = e1) | (all_56_13 =
% 194.23/30.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e2) = e1)
% 194.23/30.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2894) gives:
% 194.23/30.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 194.23/30.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2895) all_56_12 = e1 & op(e0, e3) = e1
% 194.23/30.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2895) implies:
% 194.23/30.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2896) all_56_12 = e1
% 194.23/30.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (235) gives:
% 194.23/30.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 194.23/30.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2897) (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_2 = e3
% 194.23/30.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e3)
% 194.23/30.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (167), (2637), (2893), (2897),
% 194.23/30.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 194.23/30.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1296.
% 194.23/30.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 194.23/30.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2898) (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_12 =
% 194.23/30.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e3) = e3)
% 194.23/30.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2898) gives:
% 194.23/30.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 194.23/30.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2899) all_56_6 = e3 & op(e1, e3) = e3
% 194.23/30.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2899) implies:
% 194.23/30.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2900) all_56_6 = e3
% 194.23/30.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2901) op(e1, e3) = e3
% 194.23/30.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (7), (8), (9), (160), (162), (213),
% 194.23/30.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (214), (215), (1545), (2201), (2475), (2900),
% 194.23/30.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2901), (function-axioms) are inconsistent by
% 194.23/30.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1352.
% 194.23/30.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 194.23/30.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2902) all_56_12 = e3 & op(e0, e3) = e3
% 194.23/30.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2902) implies:
% 194.23/30.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2903) all_56_12 = e3
% 194.23/30.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2896), (2903) imply:
% 194.23/30.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2904) e3 = e1
% 194.23/30.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2884), (2904) imply:
% 194.23/30.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2905) all_56_13 = e1
% 194.23/30.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (8), (45), (158), (206), (209),
% 194.23/30.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (376), (1546), (2204), (2896), (2905),
% 194.23/30.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 194.23/30.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1325.
% 194.23/30.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 194.23/30.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 194.23/30.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 194.23/30.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2906) all_56_13 = e1 & op(e0, e2) = e1
% 194.23/30.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (2884), (2906) are inconsistent by sub-proof
% 194.23/30.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1772.
% 194.23/30.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 194.23/30.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 194.23/30.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2907) (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 =
% 194.23/30.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = e1)
% 194.23/30.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (9), (157), (159), (208), (2197),
% 194.23/30.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2198), (2647), (2884), (2907), (function-axioms)
% 194.23/30.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1323.
% 194.23/30.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 194.23/30.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 194.23/30.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2908) all_54_12 = e2 | all_54_12 = e1 | all_54_12 = e0
% 194.23/30.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2664), (2668), (2669), (2888), (2908) are
% 194.23/30.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1380.
% 194.23/30.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 194.23/30.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 194.23/30.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2909) all_54_13 = e0
% 194.23/30.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (1566), (1573), (2909) are inconsistent by
% 194.23/30.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1297.
% 194.23/30.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 194.23/30.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 194.23/30.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 194.23/30.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 194.23/30.69 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.69 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 194.23/30.69 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.69 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 194.23/30.69 | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.69 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 194.23/30.69 | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.69 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 194.23/30.69 | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.69 | | | | | | | | | | | | | | | | | | | | | | End of split
% 194.23/30.69 | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.70 | | | | | | | | | | | | | | | | | | | | | End of split
% 194.23/30.70 | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.70 | | | | | | | | | | | | | | | | | | | | End of split
% 194.23/30.70 | | | | | | | | | | | | | | | | | | | |
% 194.23/30.70 | | | | | | | | | | | | | | | | | | | End of split
% 194.23/30.70 | | | | | | | | | | | | | | | | | | |
% 194.23/30.70 | | | | | | | | | | | | | | | | | | End of split
% 194.23/30.70 | | | | | | | | | | | | | | | | | |
% 194.23/30.70 | | | | | | | | | | | | | | | | | Case 2:
% 194.23/30.70 | | | | | | | | | | | | | | | | | |
% 194.23/30.70 | | | | | | | | | | | | | | | | | | (2910) all_56_11 = e3 & op(e1, e0) = e3
% 194.23/30.70 | | | | | | | | | | | | | | | | | |
% 194.23/30.70 | | | | | | | | | | | | | | | | | | REF_CLOSE: (160), (2474), (2910), (function-axioms) are
% 194.23/30.70 | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1762.
% 194.23/30.70 | | | | | | | | | | | | | | | | | |
% 194.23/30.70 | | | | | | | | | | | | | | | | | End of split
% 194.23/30.70 | | | | | | | | | | | | | | | | |
% 194.23/30.70 | | | | | | | | | | | | | | | | End of split
% 194.23/30.70 | | | | | | | | | | | | | | | |
% 194.23/30.70 | | | | | | | | | | | | | | | End of split
% 194.23/30.70 | | | | | | | | | | | | | | |
% 194.23/30.70 | | | | | | | | | | | | | | End of split
% 194.23/30.70 | | | | | | | | | | | | | |
% 194.23/30.70 | | | | | | | | | | | | | End of split
% 194.23/30.70 | | | | | | | | | | | | |
% 194.23/30.70 | | | | | | | | | | | | End of split
% 194.23/30.70 | | | | | | | | | | | |
% 194.23/30.70 | | | | | | | | | | | Case 2:
% 194.23/30.70 | | | | | | | | | | | |
% 194.23/30.70 | | | | | | | | | | | | (2911) all_28_2 = e1
% 194.23/30.70 | | | | | | | | | | | | (2912) op(e1, e3) = all_28_1 & $i(all_28_1) & ( ~
% 194.23/30.70 | | | | | | | | | | | | (all_28_1 = e2) | ( ~ (all_28_0 = e0) & op(e2,
% 194.23/30.70 | | | | | | | | | | | | e1) = all_28_0 & $i(all_28_0)))
% 194.23/30.70 | | | | | | | | | | | |
% 194.23/30.70 | | | | | | | | | | | | ALPHA: (2912) implies:
% 194.23/30.70 | | | | | | | | | | | | (2913) op(e1, e3) = all_28_1
% 194.23/30.70 | | | | | | | | | | | |
% 194.23/30.70 | | | | | | | | | | | | COMBINE_EQS: (315), (2911) imply:
% 194.23/30.70 | | | | | | | | | | | | (2914) all_14_2 = e1
% 194.23/30.70 | | | | | | | | | | | |
% 194.23/30.70 | | | | | | | | | | | | COMBINE_EQS: (305), (2914) imply:
% 194.23/30.70 | | | | | | | | | | | | (2915) all_36_2 = e1
% 194.23/30.70 | | | | | | | | | | | |
% 194.23/30.70 | | | | | | | | | | | | REDUCE: (337), (2914) imply:
% 194.23/30.70 | | | | | | | | | | | | (2916) ~ (all_52_1 = e1)
% 194.23/30.70 | | | | | | | | | | | |
% 194.23/30.70 | | | | | | | | | | | | REDUCE: (339), (2914) imply:
% 194.23/30.70 | | | | | | | | | | | | (2917) ~ (all_52_2 = e1)
% 194.23/30.70 | | | | | | | | | | | |
% 194.23/30.70 | | | | | | | | | | | | REDUCE: (341), (2914) imply:
% 194.23/30.70 | | | | | | | | | | | | (2918) ~ (all_52_3 = e1)
% 194.23/30.70 | | | | | | | | | | | |
% 194.23/30.70 | | | | | | | | | | | | REDUCE: (343), (2914) imply:
% 194.23/30.70 | | | | | | | | | | | | (2919) ~ (all_52_4 = e1)
% 194.23/30.70 | | | | | | | | | | | |
% 194.23/30.70 | | | | | | | | | | | | REDUCE: (377), (2914) imply:
% 194.23/30.70 | | | | | | | | | | | | (2920) ~ (e2 = e1)
% 194.23/30.70 | | | | | | | | | | | |
% 194.23/30.70 | | | | | | | | | | | | REDUCE: (51), (2914) imply:
% 194.23/30.70 | | | | | | | | | | | | (2921) op(e3, e3) = e1
% 194.23/30.70 | | | | | | | | | | | |
% 194.23/30.70 | | | | | | | | | | | | BETA: splitting (85) gives:
% 194.23/30.70 | | | | | | | | | | | |
% 194.23/30.70 | | | | | | | | | | | | Case 1:
% 194.23/30.70 | | | | | | | | | | | | |
% 194.23/30.70 | | | | | | | | | | | | | (2922) ~ (all_36_2 = e1)
% 194.23/30.70 | | | | | | | | | | | | |
% 194.23/30.70 | | | | | | | | | | | | | REDUCE: (2915), (2922) imply:
% 194.23/30.70 | | | | | | | | | | | | | (2923) $false
% 194.23/30.70 | | | | | | | | | | | | |
% 194.23/30.70 | | | | | | | | | | | | | CLOSE: (2923) is inconsistent.
% 194.23/30.70 | | | | | | | | | | | | |
% 194.23/30.70 | | | | | | | | | | | | Case 2:
% 194.23/30.70 | | | | | | | | | | | | |
% 194.23/30.70 | | | | | | | | | | | | | (2924) op(e1, e3) = all_36_1 & $i(all_36_1) & ( ~
% 194.23/30.70 | | | | | | | | | | | | | (all_36_1 = e0) | ( ~ (all_36_0 = e2) & op(e0,
% 194.23/30.70 | | | | | | | | | | | | | e1) = all_36_0 & $i(all_36_0)))
% 194.23/30.70 | | | | | | | | | | | | |
% 194.23/30.70 | | | | | | | | | | | | | ALPHA: (2924) implies:
% 194.23/30.70 | | | | | | | | | | | | | (2925) op(e1, e3) = all_36_1
% 194.23/30.70 | | | | | | | | | | | | | (2926) ~ (all_36_1 = e0) | ( ~ (all_36_0 = e2) & op(e0,
% 194.23/30.70 | | | | | | | | | | | | | e1) = all_36_0 & $i(all_36_0))
% 194.23/30.70 | | | | | | | | | | | | |
% 194.23/30.70 | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_2,
% 194.23/30.70 | | | | | | | | | | | | | all_28_1, e3, e1, simplifying with (163), (2913)
% 194.23/30.70 | | | | | | | | | | | | | gives:
% 194.23/30.70 | | | | | | | | | | | | | (2927) all_52_2 = all_28_1
% 194.23/30.70 | | | | | | | | | | | | |
% 194.23/30.70 | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_2,
% 194.23/30.70 | | | | | | | | | | | | | all_36_1, e3, e1, simplifying with (163), (2925)
% 194.23/30.70 | | | | | | | | | | | | | gives:
% 194.23/30.70 | | | | | | | | | | | | | (2928) all_52_2 = all_36_1
% 194.23/30.70 | | | | | | | | | | | | |
% 194.23/30.70 | | | | | | | | | | | | | COMBINE_EQS: (2927), (2928) imply:
% 194.23/30.70 | | | | | | | | | | | | | (2929) all_36_1 = all_28_1
% 194.23/30.70 | | | | | | | | | | | | |
% 194.23/30.70 | | | | | | | | | | | | | SIMP: (2929) implies:
% 194.23/30.70 | | | | | | | | | | | | | (2930) all_36_1 = all_28_1
% 194.23/30.70 | | | | | | | | | | | | |
% 194.23/30.70 | | | | | | | | | | | | | COMBINE_EQS: (259), (2927) imply:
% 194.23/30.70 | | | | | | | | | | | | | (2931) all_54_8 = all_28_1
% 194.23/30.70 | | | | | | | | | | | | |
% 194.23/30.70 | | | | | | | | | | | | | REDUCE: (149), (2927) imply:
% 194.23/30.70 | | | | | | | | | | | | | (2932) ~ (all_52_1 = all_28_1)
% 194.23/30.70 | | | | | | | | | | | | |
% 194.23/30.70 | | | | | | | | | | | | | REDUCE: (144), (2927) imply:
% 194.23/30.70 | | | | | | | | | | | | | (2933) ~ (all_52_3 = all_28_1)
% 194.23/30.70 | | | | | | | | | | | | |
% 194.23/30.70 | | | | | | | | | | | | | SIMP: (2933) implies:
% 194.23/30.70 | | | | | | | | | | | | | (2934) ~ (all_52_3 = all_28_1)
% 194.23/30.70 | | | | | | | | | | | | |
% 194.23/30.70 | | | | | | | | | | | | | REDUCE: (143), (2927) imply:
% 194.23/30.70 | | | | | | | | | | | | | (2935) ~ (all_52_6 = all_28_1)
% 194.23/30.70 | | | | | | | | | | | | |
% 194.23/30.70 | | | | | | | | | | | | | SIMP: (2935) implies:
% 194.23/30.70 | | | | | | | | | | | | | (2936) ~ (all_52_6 = all_28_1)
% 194.23/30.70 | | | | | | | | | | | | |
% 194.23/30.70 | | | | | | | | | | | | | REDUCE: (141), (2927) imply:
% 194.23/30.70 | | | | | | | | | | | | | (2937) ~ (all_52_14 = all_28_1)
% 194.23/30.70 | | | | | | | | | | | | |
% 194.23/30.70 | | | | | | | | | | | | | SIMP: (2937) implies:
% 194.23/30.70 | | | | | | | | | | | | | (2938) ~ (all_52_14 = all_28_1)
% 194.23/30.70 | | | | | | | | | | | | |
% 194.23/30.70 | | | | | | | | | | | | | REDUCE: (349), (2927) imply:
% 194.23/30.70 | | | | | | | | | | | | | (2939) ~ (all_28_1 = all_4_2)
% 194.23/30.70 | | | | | | | | | | | | |
% 194.23/30.70 | | | | | | | | | | | | | REDUCE: (2917), (2927) imply:
% 194.23/30.70 | | | | | | | | | | | | | (2940) ~ (all_28_1 = e1)
% 194.23/30.70 | | | | | | | | | | | | |
% 194.23/30.70 | | | | | | | | | | | | | BETA: splitting (76) gives:
% 194.23/30.70 | | | | | | | | | | | | |
% 194.23/30.70 | | | | | | | | | | | | | Case 1:
% 194.23/30.70 | | | | | | | | | | | | | |
% 194.23/30.70 | | | | | | | | | | | | | | (2941) ~ (all_30_2 = e2)
% 194.23/30.70 | | | | | | | | | | | | | |
% 194.23/30.70 | | | | | | | | | | | | | | REDUCE: (309), (2941) imply:
% 194.23/30.70 | | | | | | | | | | | | | | (2942) ~ (all_10_2 = e2)
% 194.23/30.70 | | | | | | | | | | | | | |
% 194.23/30.70 | | | | | | | | | | | | | | BETA: splitting (79) gives:
% 194.23/30.70 | | | | | | | | | | | | | |
% 194.23/30.70 | | | | | | | | | | | | | | Case 1:
% 194.23/30.70 | | | | | | | | | | | | | | |
% 194.23/30.70 | | | | | | | | | | | | | | | (2943) ~ (all_32_2 = e3)
% 194.23/30.70 | | | | | | | | | | | | | | |
% 194.23/30.70 | | | | | | | | | | | | | | | REDUCE: (301), (2943) imply:
% 194.23/30.70 | | | | | | | | | | | | | | | (2944) ~ (all_4_2 = e3)
% 194.23/30.70 | | | | | | | | | | | | | | |
% 194.23/30.70 | | | | | | | | | | | | | | | BETA: splitting (194) gives:
% 194.23/30.70 | | | | | | | | | | | | | | |
% 194.23/30.70 | | | | | | | | | | | | | | | Case 1:
% 194.23/30.70 | | | | | | | | | | | | | | | |
% 194.23/30.70 | | | | | | | | | | | | | | | | (2945) all_54_10 = e3
% 194.23/30.70 | | | | | | | | | | | | | | | |
% 194.23/30.70 | | | | | | | | | | | | | | | | REF_CLOSE: (335), (2944), (2945) are inconsistent by
% 194.23/30.70 | | | | | | | | | | | | | | | | sub-proof #1974.
% 194.23/30.70 | | | | | | | | | | | | | | | |
% 194.23/30.70 | | | | | | | | | | | | | | | Case 2:
% 194.23/30.70 | | | | | | | | | | | | | | | |
% 194.23/30.70 | | | | | | | | | | | | | | | | (2946) ~ (all_54_10 = e3)
% 194.23/30.70 | | | | | | | | | | | | | | | | (2947) all_54_10 = e2 | all_54_10 = e1 | all_54_10 = e0
% 194.23/30.70 | | | | | | | | | | | | | | | |
% 194.23/30.70 | | | | | | | | | | | | | | | | BETA: splitting (2947) gives:
% 194.23/30.70 | | | | | | | | | | | | | | | |
% 194.23/30.70 | | | | | | | | | | | | | | | | Case 1:
% 194.23/30.70 | | | | | | | | | | | | | | | | |
% 194.23/30.70 | | | | | | | | | | | | | | | | | (2948) all_54_10 = e2
% 194.23/30.70 | | | | | | | | | | | | | | | | |
% 194.23/30.70 | | | | | | | | | | | | | | | | | REF_CLOSE: (335), (375), (2948) are inconsistent by sub-proof
% 194.23/30.70 | | | | | | | | | | | | | | | | | #1973.
% 194.23/30.70 | | | | | | | | | | | | | | | | |
% 194.23/30.70 | | | | | | | | | | | | | | | | Case 2:
% 194.23/30.70 | | | | | | | | | | | | | | | | |
% 194.23/30.70 | | | | | | | | | | | | | | | | | (2949) ~ (all_54_10 = e2)
% 194.23/30.70 | | | | | | | | | | | | | | | | | (2950) all_54_10 = e1 | all_54_10 = e0
% 194.23/30.70 | | | | | | | | | | | | | | | | |
% 194.23/30.70 | | | | | | | | | | | | | | | | | BETA: splitting (2950) gives:
% 194.23/30.70 | | | | | | | | | | | | | | | | |
% 194.23/30.70 | | | | | | | | | | | | | | | | | Case 1:
% 194.23/30.70 | | | | | | | | | | | | | | | | | |
% 194.23/30.70 | | | | | | | | | | | | | | | | | | (2951) all_54_10 = e1
% 194.23/30.70 | | | | | | | | | | | | | | | | | |
% 194.23/30.70 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (335), (2951) imply:
% 194.23/30.70 | | | | | | | | | | | | | | | | | | (2952) all_4_2 = e1
% 194.23/30.70 | | | | | | | | | | | | | | | | | |
% 194.23/30.70 | | | | | | | | | | | | | | | | | | SIMP: (2952) implies:
% 194.23/30.70 | | | | | | | | | | | | | | | | | | (2953) all_4_2 = e1
% 194.23/30.70 | | | | | | | | | | | | | | | | | |
% 194.23/30.70 | | | | | | | | | | | | | | | | | | REDUCE: (360), (2953) imply:
% 194.23/30.70 | | | | | | | | | | | | | | | | | | (2954) ~ (all_52_6 = e1)
% 194.23/30.70 | | | | | | | | | | | | | | | | | |
% 194.23/30.70 | | | | | | | | | | | | | | | | | | REDUCE: (367), (2953) imply:
% 194.23/30.70 | | | | | | | | | | | | | | | | | | (2955) ~ (all_52_14 = e1)
% 194.23/30.70 | | | | | | | | | | | | | | | | | |
% 194.23/30.70 | | | | | | | | | | | | | | | | | | REDUCE: (2944), (2953) imply:
% 194.23/30.70 | | | | | | | | | | | | | | | | | | (2956) ~ (e3 = e1)
% 194.23/30.70 | | | | | | | | | | | | | | | | | |
% 194.23/30.70 | | | | | | | | | | | | | | | | | | REDUCE: (36), (2953) imply:
% 194.23/30.70 | | | | | | | | | | | | | | | | | | (2957) op(e1, e1) = e1
% 194.23/30.70 | | | | | | | | | | | | | | | | | |
% 194.23/30.70 | | | | | | | | | | | | | | | | | | BETA: splitting (239) gives:
% 194.23/30.70 | | | | | | | | | | | | | | | | | |
% 194.23/30.70 | | | | | | | | | | | | | | | | | | Case 1:
% 194.23/30.70 | | | | | | | | | | | | | | | | | | |
% 194.23/30.70 | | | | | | | | | | | | | | | | | | | (2958) (all_57_1 = e2 & ~ (all_57_3 = e3) & ~ (all_57_8
% 194.23/30.70 | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_10 = e2) & ~ (all_57_12 =
% 194.23/30.70 | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_14 = e0) & op(e3, e3) = e2 &
% 194.23/30.70 | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_3 & op(e2, all_57_9) =
% 194.23/30.70 | | | | | | | | | | | | | | | | | | | all_57_8 & op(e2, all_57_11) = all_57_10 &
% 194.23/30.70 | | | | | | | | | | | | | | | | | | | op(e2, all_57_13) = all_57_12 & op(e2,
% 194.23/30.70 | | | | | | | | | | | | | | | | | | | all_57_15) = all_57_14 & op(e2, e3) = all_57_9
% 194.23/30.70 | | | | | | | | | | | | | | | | | | | & op(e2, e2) = all_57_11 & op(e2, e1) =
% 194.23/30.70 | | | | | | | | | | | | | | | | | | | all_57_13 & op(e2, e0) = all_57_15 &
% 194.23/30.70 | | | | | | | | | | | | | | | | | | | $i(all_57_3) & $i(all_57_8) & $i(all_57_9) &
% 194.23/30.70 | | | | | | | | | | | | | | | | | | | $i(all_57_10) & $i(all_57_11) & $i(all_57_12) &
% 194.23/30.70 | | | | | | | | | | | | | | | | | | | $i(all_57_13) & $i(all_57_14) & $i(all_57_15)) |
% 194.23/30.70 | | | | | | | | | | | | | | | | | | | (all_57_1 = e1 & ~ (all_57_5 = e3) & ~
% 194.23/30.70 | | | | | | | | | | | | | | | | | | | (all_57_16 = e3) & ~ (all_57_18 = e2) & ~
% 194.23/30.70 | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_22 = e0) & op(e3,
% 194.23/30.70 | | | | | | | | | | | | | | | | | | | e3) = e1 & op(e3, e1) = all_57_5 & op(e1,
% 194.23/30.70 | | | | | | | | | | | | | | | | | | | all_57_17) = all_57_16 & op(e1, all_57_19) =
% 194.23/30.70 | | | | | | | | | | | | | | | | | | | all_57_18 & op(e1, all_57_21) = all_57_20 &
% 194.23/30.70 | | | | | | | | | | | | | | | | | | | op(e1, all_57_23) = all_57_22 & op(e1, e3) =
% 194.23/30.70 | | | | | | | | | | | | | | | | | | | all_57_17 & op(e1, e2) = all_57_19 & op(e1, e1)
% 194.23/30.70 | | | | | | | | | | | | | | | | | | | = all_57_21 & op(e1, e0) = all_57_23 &
% 194.23/30.70 | | | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_16) & $i(all_57_17) &
% 194.23/30.70 | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_19) & $i(all_57_20) &
% 194.23/30.70 | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_22) & $i(all_57_23)) |
% 194.23/30.70 | | | | | | | | | | | | | | | | | | | (all_57_1 = e0 & ~ (all_57_7 = e3) & ~
% 194.23/30.70 | | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 194.23/30.70 | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) & op(e3,
% 194.23/30.70 | | | | | | | | | | | | | | | | | | | e3) = e0 & op(e3, e0) = all_57_7 & op(e0,
% 194.23/30.70 | | | | | | | | | | | | | | | | | | | all_57_25) = all_57_24 & op(e0, all_57_27) =
% 194.23/30.70 | | | | | | | | | | | | | | | | | | | all_57_26 & op(e0, all_57_29) = all_57_28 &
% 194.23/30.70 | | | | | | | | | | | | | | | | | | | op(e0, all_57_31) = all_57_30 & op(e0, e3) =
% 194.23/30.70 | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_27 & op(e0, e1)
% 194.23/30.70 | | | | | | | | | | | | | | | | | | | = all_57_29 & op(e0, e0) = all_57_31 &
% 194.23/30.70 | | | | | | | | | | | | | | | | | | | $i(all_57_7) & $i(all_57_24) & $i(all_57_25) &
% 194.23/30.70 | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_27) & $i(all_57_28) &
% 194.23/30.70 | | | | | | | | | | | | | | | | | | | $i(all_57_29) & $i(all_57_30) & $i(all_57_31)) |
% 194.23/30.70 | | | | | | | | | | | | | | | | | | | (all_57_11 = e3 & ~ (all_57_0 = e3) & ~
% 194.23/30.70 | | | | | | | | | | | | | | | | | | | (all_57_2 = e2) & ~ (all_57_4 = e1) & ~
% 194.23/30.70 | | | | | | | | | | | | | | | | | | | (all_57_6 = e0) & ~ (all_57_9 = e2) & op(e3,
% 194.23/30.70 | | | | | | | | | | | | | | | | | | | all_57_1) = all_57_0 & op(e3, all_57_3) =
% 194.23/30.70 | | | | | | | | | | | | | | | | | | | all_57_2 & op(e3, all_57_5) = all_57_4 & op(e3,
% 194.23/30.70 | | | | | | | | | | | | | | | | | | | all_57_7) = all_57_6 & op(e3, e3) = all_57_1 &
% 194.23/30.70 | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_3 & op(e3, e1) = all_57_5 &
% 194.23/30.70 | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_7 & op(e2, e3) = all_57_9 &
% 194.23/30.70 | | | | | | | | | | | | | | | | | | | op(e2, e2) = e3 & $i(all_57_0) & $i(all_57_1) &
% 194.23/30.70 | | | | | | | | | | | | | | | | | | | $i(all_57_2) & $i(all_57_3) & $i(all_57_4) &
% 194.23/30.70 | | | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 194.23/30.70 | | | | | | | | | | | | | | | | | | | $i(all_57_9))
% 194.23/30.70 | | | | | | | | | | | | | | | | | | |
% 194.23/30.70 | | | | | | | | | | | | | | | | | | | BETA: splitting (2958) gives:
% 194.23/30.70 | | | | | | | | | | | | | | | | | | |
% 194.23/30.70 | | | | | | | | | | | | | | | | | | | Case 1:
% 194.23/30.70 | | | | | | | | | | | | | | | | | | | |
% 194.23/30.70 | | | | | | | | | | | | | | | | | | | | (2959) (all_57_1 = e2 & ~ (all_57_3 = e3) & ~ (all_57_8
% 194.23/30.70 | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_10 = e2) & ~ (all_57_12 =
% 194.23/30.70 | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_14 = e0) & op(e3, e3) = e2 &
% 194.23/30.70 | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_3 & op(e2, all_57_9) =
% 194.23/30.70 | | | | | | | | | | | | | | | | | | | | all_57_8 & op(e2, all_57_11) = all_57_10 &
% 194.23/30.70 | | | | | | | | | | | | | | | | | | | | op(e2, all_57_13) = all_57_12 & op(e2,
% 194.23/30.70 | | | | | | | | | | | | | | | | | | | | all_57_15) = all_57_14 & op(e2, e3) = all_57_9
% 194.23/30.70 | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = all_57_11 & op(e2, e1) =
% 194.23/30.70 | | | | | | | | | | | | | | | | | | | | all_57_13 & op(e2, e0) = all_57_15 &
% 194.23/30.70 | | | | | | | | | | | | | | | | | | | | $i(all_57_3) & $i(all_57_8) & $i(all_57_9) &
% 194.23/30.70 | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & $i(all_57_11) & $i(all_57_12) &
% 194.23/30.70 | | | | | | | | | | | | | | | | | | | | $i(all_57_13) & $i(all_57_14) & $i(all_57_15)) |
% 194.23/30.70 | | | | | | | | | | | | | | | | | | | | (all_57_1 = e1 & ~ (all_57_5 = e3) & ~
% 194.23/30.70 | | | | | | | | | | | | | | | | | | | | (all_57_16 = e3) & ~ (all_57_18 = e2) & ~
% 194.23/30.70 | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_22 = e0) & op(e3,
% 194.23/30.70 | | | | | | | | | | | | | | | | | | | | e3) = e1 & op(e3, e1) = all_57_5 & op(e1,
% 194.23/30.70 | | | | | | | | | | | | | | | | | | | | all_57_17) = all_57_16 & op(e1, all_57_19) =
% 194.23/30.70 | | | | | | | | | | | | | | | | | | | | all_57_18 & op(e1, all_57_21) = all_57_20 &
% 194.23/30.70 | | | | | | | | | | | | | | | | | | | | op(e1, all_57_23) = all_57_22 & op(e1, e3) =
% 194.23/30.70 | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e1, e2) = all_57_19 & op(e1, e1)
% 194.23/30.70 | | | | | | | | | | | | | | | | | | | | = all_57_21 & op(e1, e0) = all_57_23 &
% 194.23/30.70 | | | | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_16) & $i(all_57_17) &
% 194.23/30.70 | | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_19) & $i(all_57_20) &
% 194.23/30.70 | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_22) & $i(all_57_23))
% 194.23/30.70 | | | | | | | | | | | | | | | | | | | |
% 194.23/30.70 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (2921), (2957), (2959), (function-axioms) are
% 194.23/30.70 | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1295.
% 194.23/30.70 | | | | | | | | | | | | | | | | | | | |
% 194.23/30.70 | | | | | | | | | | | | | | | | | | | Case 2:
% 194.23/30.70 | | | | | | | | | | | | | | | | | | | |
% 194.23/30.70 | | | | | | | | | | | | | | | | | | | | (2960) (all_57_1 = e0 & ~ (all_57_7 = e3) & ~
% 194.23/30.70 | | | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 194.23/30.70 | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) & op(e3,
% 194.23/30.70 | | | | | | | | | | | | | | | | | | | | e3) = e0 & op(e3, e0) = all_57_7 & op(e0,
% 194.23/30.70 | | | | | | | | | | | | | | | | | | | | all_57_25) = all_57_24 & op(e0, all_57_27) =
% 194.23/30.70 | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e0, all_57_29) = all_57_28 &
% 194.23/30.70 | | | | | | | | | | | | | | | | | | | | op(e0, all_57_31) = all_57_30 & op(e0, e3) =
% 194.23/30.70 | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_27 & op(e0, e1)
% 194.23/30.70 | | | | | | | | | | | | | | | | | | | | = all_57_29 & op(e0, e0) = all_57_31 &
% 194.23/30.70 | | | | | | | | | | | | | | | | | | | | $i(all_57_7) & $i(all_57_24) & $i(all_57_25) &
% 194.23/30.70 | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_27) & $i(all_57_28) &
% 194.23/30.70 | | | | | | | | | | | | | | | | | | | | $i(all_57_29) & $i(all_57_30) & $i(all_57_31)) |
% 194.23/30.70 | | | | | | | | | | | | | | | | | | | | (all_57_11 = e3 & ~ (all_57_0 = e3) & ~
% 194.23/30.70 | | | | | | | | | | | | | | | | | | | | (all_57_2 = e2) & ~ (all_57_4 = e1) & ~
% 194.23/30.70 | | | | | | | | | | | | | | | | | | | | (all_57_6 = e0) & ~ (all_57_9 = e2) & op(e3,
% 194.23/30.70 | | | | | | | | | | | | | | | | | | | | all_57_1) = all_57_0 & op(e3, all_57_3) =
% 194.23/30.70 | | | | | | | | | | | | | | | | | | | | all_57_2 & op(e3, all_57_5) = all_57_4 & op(e3,
% 194.23/30.70 | | | | | | | | | | | | | | | | | | | | all_57_7) = all_57_6 & op(e3, e3) = all_57_1 &
% 194.23/30.70 | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_3 & op(e3, e1) = all_57_5 &
% 194.23/30.70 | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_7 & op(e2, e3) = all_57_9 &
% 194.23/30.70 | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e3 & $i(all_57_0) & $i(all_57_1) &
% 194.23/30.70 | | | | | | | | | | | | | | | | | | | | $i(all_57_2) & $i(all_57_3) & $i(all_57_4) &
% 194.23/30.70 | | | | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 194.23/30.70 | | | | | | | | | | | | | | | | | | | | $i(all_57_9))
% 194.23/30.70 | | | | | | | | | | | | | | | | | | | |
% 194.23/30.70 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (7), (1551), (2921), (2960),
% 194.23/30.70 | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 194.23/30.70 | | | | | | | | | | | | | | | | | | | | #1294.
% 194.23/30.70 | | | | | | | | | | | | | | | | | | | |
% 194.23/30.70 | | | | | | | | | | | | | | | | | | | End of split
% 194.23/30.70 | | | | | | | | | | | | | | | | | | |
% 194.23/30.70 | | | | | | | | | | | | | | | | | | Case 2:
% 194.23/30.70 | | | | | | | | | | | | | | | | | | |
% 194.23/30.70 | | | | | | | | | | | | | | | | | | | (2961) (all_57_11 = e1 & ~ (all_57_13 = e2) & ~
% 194.23/30.70 | | | | | | | | | | | | | | | | | | | (all_57_16 = e3) & ~ (all_57_18 = e2) & ~
% 194.23/30.70 | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_22 = e0) & op(e2,
% 194.23/30.70 | | | | | | | | | | | | | | | | | | | e2) = e1 & op(e2, e1) = all_57_13 & op(e1,
% 194.23/30.70 | | | | | | | | | | | | | | | | | | | all_57_17) = all_57_16 & op(e1, all_57_19) =
% 194.23/30.70 | | | | | | | | | | | | | | | | | | | all_57_18 & op(e1, all_57_21) = all_57_20 &
% 194.23/30.70 | | | | | | | | | | | | | | | | | | | op(e1, all_57_23) = all_57_22 & op(e1, e3) =
% 194.23/30.70 | | | | | | | | | | | | | | | | | | | all_57_17 & op(e1, e2) = all_57_19 & op(e1, e1)
% 194.23/30.70 | | | | | | | | | | | | | | | | | | | = all_57_21 & op(e1, e0) = all_57_23 &
% 194.23/30.70 | | | | | | | | | | | | | | | | | | | $i(all_57_13) & $i(all_57_16) & $i(all_57_17) &
% 194.23/30.70 | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_19) & $i(all_57_20) &
% 194.23/30.70 | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_22) & $i(all_57_23)) |
% 194.23/30.70 | | | | | | | | | | | | | | | | | | | (all_57_11 = e0 & ~ (all_57_15 = e2) & ~
% 194.23/30.70 | | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 194.23/30.70 | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) & op(e2,
% 194.23/30.70 | | | | | | | | | | | | | | | | | | | e2) = e0 & op(e2, e0) = all_57_15 & op(e0,
% 194.23/30.70 | | | | | | | | | | | | | | | | | | | all_57_25) = all_57_24 & op(e0, all_57_27) =
% 194.23/30.70 | | | | | | | | | | | | | | | | | | | all_57_26 & op(e0, all_57_29) = all_57_28 &
% 194.23/30.70 | | | | | | | | | | | | | | | | | | | op(e0, all_57_31) = all_57_30 & op(e0, e3) =
% 194.23/30.70 | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_27 & op(e0, e1)
% 194.23/30.70 | | | | | | | | | | | | | | | | | | | = all_57_29 & op(e0, e0) = all_57_31 &
% 194.23/30.70 | | | | | | | | | | | | | | | | | | | $i(all_57_15) & $i(all_57_24) & $i(all_57_25) &
% 194.23/30.70 | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_27) & $i(all_57_28) &
% 194.23/30.70 | | | | | | | | | | | | | | | | | | | $i(all_57_29) & $i(all_57_30) & $i(all_57_31)) |
% 194.23/30.70 | | | | | | | | | | | | | | | | | | | (all_57_21 = e3 & ~ (all_57_0 = e3) & ~
% 194.23/30.70 | | | | | | | | | | | | | | | | | | | (all_57_2 = e2) & ~ (all_57_4 = e1) & ~
% 194.23/30.70 | | | | | | | | | | | | | | | | | | | (all_57_6 = e0) & ~ (all_57_17 = e1) & op(e3,
% 194.23/30.70 | | | | | | | | | | | | | | | | | | | all_57_1) = all_57_0 & op(e3, all_57_3) =
% 194.23/30.70 | | | | | | | | | | | | | | | | | | | all_57_2 & op(e3, all_57_5) = all_57_4 & op(e3,
% 194.23/30.70 | | | | | | | | | | | | | | | | | | | all_57_7) = all_57_6 & op(e3, e3) = all_57_1 &
% 194.23/30.70 | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_3 & op(e3, e1) = all_57_5 &
% 194.23/30.70 | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_7 & op(e1, e3) = all_57_17 &
% 194.23/30.70 | | | | | | | | | | | | | | | | | | | op(e1, e1) = e3 & $i(all_57_0) & $i(all_57_1) &
% 194.23/30.70 | | | | | | | | | | | | | | | | | | | $i(all_57_2) & $i(all_57_3) & $i(all_57_4) &
% 194.23/30.70 | | | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 194.23/30.70 | | | | | | | | | | | | | | | | | | | $i(all_57_17)) | (all_57_21 = e2 & ~ (all_57_8
% 194.23/30.70 | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_10 = e2) & ~ (all_57_12 =
% 194.23/30.70 | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_14 = e0) & ~ (all_57_19 =
% 194.23/30.70 | | | | | | | | | | | | | | | | | | | e1) & op(e2, all_57_9) = all_57_8 & op(e2,
% 194.23/30.70 | | | | | | | | | | | | | | | | | | | all_57_11) = all_57_10 & op(e2, all_57_13) =
% 194.23/30.70 | | | | | | | | | | | | | | | | | | | all_57_12 & op(e2, all_57_15) = all_57_14 &
% 194.23/30.70 | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_9 & op(e2, e2) = all_57_11 &
% 194.23/30.70 | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_57_13 & op(e2, e0) = all_57_15
% 194.23/30.70 | | | | | | | | | | | | | | | | | | | & op(e1, e2) = all_57_19 & op(e1, e1) = e2 &
% 194.23/30.70 | | | | | | | | | | | | | | | | | | | $i(all_57_8) & $i(all_57_9) & $i(all_57_10) &
% 194.23/30.70 | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_12) & $i(all_57_13) &
% 194.23/30.70 | | | | | | | | | | | | | | | | | | | $i(all_57_14) & $i(all_57_15) & $i(all_57_19)) |
% 194.23/30.70 | | | | | | | | | | | | | | | | | | | (op(e0, e0) = all_57_31 & $i(all_57_31) &
% 194.23/30.70 | | | | | | | | | | | | | | | | | | | ((all_57_21 = e0 & ~ (all_57_23 = e1) & ~
% 194.23/30.70 | | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 194.23/30.70 | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) &
% 194.23/30.70 | | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = all_57_23 &
% 194.23/30.70 | | | | | | | | | | | | | | | | | | | op(e0, all_57_25) = all_57_24 & op(e0,
% 194.23/30.70 | | | | | | | | | | | | | | | | | | | all_57_27) = all_57_26 & op(e0, all_57_29)
% 194.23/30.70 | | | | | | | | | | | | | | | | | | | = all_57_28 & op(e0, all_57_31) = all_57_30
% 194.23/30.70 | | | | | | | | | | | | | | | | | | | & op(e0, e3) = all_57_25 & op(e0, e2) =
% 194.23/30.70 | | | | | | | | | | | | | | | | | | | all_57_27 & op(e0, e1) = all_57_29 &
% 194.23/30.70 | | | | | | | | | | | | | | | | | | | $i(all_57_23) & $i(all_57_24) &
% 194.23/30.70 | | | | | | | | | | | | | | | | | | | $i(all_57_25) & $i(all_57_26) &
% 194.23/30.70 | | | | | | | | | | | | | | | | | | | $i(all_57_27) & $i(all_57_28) &
% 194.23/30.70 | | | | | | | | | | | | | | | | | | | $i(all_57_29) & $i(all_57_30)) | (all_57_31
% 194.23/30.70 | | | | | | | | | | | | | | | | | | | = e3 & ~ (all_57_0 = e3) & ~ (all_57_2 =
% 194.23/30.70 | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_4 = e1) & ~ (all_57_6 =
% 194.23/30.70 | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_25 = e0) & op(e3,
% 194.23/30.70 | | | | | | | | | | | | | | | | | | | all_57_1) = all_57_0 & op(e3, all_57_3) =
% 194.23/30.70 | | | | | | | | | | | | | | | | | | | all_57_2 & op(e3, all_57_5) = all_57_4 &
% 194.23/30.70 | | | | | | | | | | | | | | | | | | | op(e3, all_57_7) = all_57_6 & op(e3, e3) =
% 194.23/30.70 | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e2) = all_57_3 & op(e3,
% 194.23/30.70 | | | | | | | | | | | | | | | | | | | e1) = all_57_5 & op(e3, e0) = all_57_7 &
% 194.23/30.70 | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_25 & $i(all_57_0) &
% 194.23/30.70 | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_2) & $i(all_57_3) &
% 194.23/30.70 | | | | | | | | | | | | | | | | | | | $i(all_57_4) & $i(all_57_5) & $i(all_57_6) &
% 194.23/30.70 | | | | | | | | | | | | | | | | | | | $i(all_57_7) & $i(all_57_25)) | (all_57_31 =
% 194.23/30.70 | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_8 = e3) & ~ (all_57_10 =
% 194.23/30.70 | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_12 = e1) & ~ (all_57_14
% 194.23/30.70 | | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_27 = e0) & op(e2,
% 194.23/30.70 | | | | | | | | | | | | | | | | | | | all_57_9) = all_57_8 & op(e2, all_57_11) =
% 194.23/30.70 | | | | | | | | | | | | | | | | | | | all_57_10 & op(e2, all_57_13) = all_57_12 &
% 194.23/30.70 | | | | | | | | | | | | | | | | | | | op(e2, all_57_15) = all_57_14 & op(e2, e3) =
% 194.23/30.70 | | | | | | | | | | | | | | | | | | | all_57_9 & op(e2, e2) = all_57_11 & op(e2,
% 194.23/30.70 | | | | | | | | | | | | | | | | | | | e1) = all_57_13 & op(e2, e0) = all_57_15 &
% 194.23/30.70 | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_27 & $i(all_57_8) &
% 194.23/30.70 | | | | | | | | | | | | | | | | | | | $i(all_57_9) & $i(all_57_10) & $i(all_57_11)
% 194.23/30.70 | | | | | | | | | | | | | | | | | | | & $i(all_57_12) & $i(all_57_13) &
% 194.23/30.70 | | | | | | | | | | | | | | | | | | | $i(all_57_14) & $i(all_57_15) &
% 194.23/30.70 | | | | | | | | | | | | | | | | | | | $i(all_57_27)) | (all_57_31 = e1 & ~
% 194.23/30.70 | | | | | | | | | | | | | | | | | | | (all_57_16 = e3) & ~ (all_57_18 = e2) & ~
% 194.23/30.70 | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_22 = e0) & ~
% 194.23/30.70 | | | | | | | | | | | | | | | | | | | (all_57_29 = e0) & op(e1, all_57_17) =
% 194.23/30.70 | | | | | | | | | | | | | | | | | | | all_57_16 & op(e1, all_57_19) = all_57_18 &
% 194.23/30.70 | | | | | | | | | | | | | | | | | | | op(e1, all_57_21) = all_57_20 & op(e1,
% 194.23/30.70 | | | | | | | | | | | | | | | | | | | all_57_23) = all_57_22 & op(e1, e3) =
% 194.23/30.70 | | | | | | | | | | | | | | | | | | | all_57_17 & op(e1, e2) = all_57_19 & op(e1,
% 194.23/30.70 | | | | | | | | | | | | | | | | | | | e1) = all_57_21 & op(e1, e0) = all_57_23 &
% 194.23/30.70 | | | | | | | | | | | | | | | | | | | op(e0, e1) = all_57_29 & $i(all_57_16) &
% 194.23/30.70 | | | | | | | | | | | | | | | | | | | $i(all_57_17) & $i(all_57_18) &
% 194.23/30.70 | | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_20) &
% 194.23/30.70 | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_22) &
% 194.23/30.70 | | | | | | | | | | | | | | | | | | | $i(all_57_23) & $i(all_57_29))))
% 194.23/30.70 | | | | | | | | | | | | | | | | | | |
% 194.23/30.70 | | | | | | | | | | | | | | | | | | | BETA: splitting (2961) gives:
% 194.23/30.70 | | | | | | | | | | | | | | | | | | |
% 194.23/30.70 | | | | | | | | | | | | | | | | | | | Case 1:
% 194.23/30.70 | | | | | | | | | | | | | | | | | | | |
% 194.23/30.70 | | | | | | | | | | | | | | | | | | | | (2962) (all_57_11 = e1 & ~ (all_57_13 = e2) & ~
% 194.23/30.70 | | | | | | | | | | | | | | | | | | | | (all_57_16 = e3) & ~ (all_57_18 = e2) & ~
% 194.23/30.70 | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_22 = e0) & op(e2,
% 194.23/30.70 | | | | | | | | | | | | | | | | | | | | e2) = e1 & op(e2, e1) = all_57_13 & op(e1,
% 194.23/30.70 | | | | | | | | | | | | | | | | | | | | all_57_17) = all_57_16 & op(e1, all_57_19) =
% 194.23/30.70 | | | | | | | | | | | | | | | | | | | | all_57_18 & op(e1, all_57_21) = all_57_20 &
% 194.23/30.70 | | | | | | | | | | | | | | | | | | | | op(e1, all_57_23) = all_57_22 & op(e1, e3) =
% 194.23/30.70 | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e1, e2) = all_57_19 & op(e1, e1)
% 194.23/30.70 | | | | | | | | | | | | | | | | | | | | = all_57_21 & op(e1, e0) = all_57_23 &
% 194.23/30.70 | | | | | | | | | | | | | | | | | | | | $i(all_57_13) & $i(all_57_16) & $i(all_57_17) &
% 194.23/30.70 | | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_19) & $i(all_57_20) &
% 194.23/30.70 | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_22) & $i(all_57_23)) |
% 194.23/30.70 | | | | | | | | | | | | | | | | | | | | (all_57_11 = e0 & ~ (all_57_15 = e2) & ~
% 194.23/30.70 | | | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 194.23/30.70 | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) & op(e2,
% 194.23/30.70 | | | | | | | | | | | | | | | | | | | | e2) = e0 & op(e2, e0) = all_57_15 & op(e0,
% 194.23/30.70 | | | | | | | | | | | | | | | | | | | | all_57_25) = all_57_24 & op(e0, all_57_27) =
% 194.23/30.70 | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e0, all_57_29) = all_57_28 &
% 194.23/30.70 | | | | | | | | | | | | | | | | | | | | op(e0, all_57_31) = all_57_30 & op(e0, e3) =
% 194.23/30.70 | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_27 & op(e0, e1)
% 194.23/30.70 | | | | | | | | | | | | | | | | | | | | = all_57_29 & op(e0, e0) = all_57_31 &
% 194.23/30.70 | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & $i(all_57_24) & $i(all_57_25) &
% 194.23/30.70 | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_27) & $i(all_57_28) &
% 194.23/30.70 | | | | | | | | | | | | | | | | | | | | $i(all_57_29) & $i(all_57_30) & $i(all_57_31))
% 194.23/30.70 | | | | | | | | | | | | | | | | | | | |
% 194.23/30.70 | | | | | | | | | | | | | | | | | | | | BETA: splitting (2962) gives:
% 194.23/30.70 | | | | | | | | | | | | | | | | | | | |
% 194.23/30.70 | | | | | | | | | | | | | | | | | | | | Case 1:
% 194.23/30.70 | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.70 | | | | | | | | | | | | | | | | | | | | | (2963) all_57_11 = e1 & ~ (all_57_13 = e2) & ~
% 194.23/30.70 | | | | | | | | | | | | | | | | | | | | | (all_57_16 = e3) & ~ (all_57_18 = e2) & ~
% 194.23/30.70 | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_22 = e0) & op(e2,
% 194.23/30.70 | | | | | | | | | | | | | | | | | | | | | e2) = e1 & op(e2, e1) = all_57_13 & op(e1,
% 194.23/30.70 | | | | | | | | | | | | | | | | | | | | | all_57_17) = all_57_16 & op(e1, all_57_19) =
% 194.23/30.70 | | | | | | | | | | | | | | | | | | | | | all_57_18 & op(e1, all_57_21) = all_57_20 & op(e1,
% 194.23/30.70 | | | | | | | | | | | | | | | | | | | | | all_57_23) = all_57_22 & op(e1, e3) = all_57_17
% 194.23/30.70 | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = all_57_19 & op(e1, e1) = all_57_21
% 194.23/30.70 | | | | | | | | | | | | | | | | | | | | | & op(e1, e0) = all_57_23 & $i(all_57_13) &
% 194.23/30.70 | | | | | | | | | | | | | | | | | | | | | $i(all_57_16) & $i(all_57_17) & $i(all_57_18) &
% 194.23/30.70 | | | | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_20) & $i(all_57_21) &
% 194.23/30.70 | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_23)
% 194.23/30.70 | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.70 | | | | | | | | | | | | | | | | | | | | | ALPHA: (2963) implies:
% 194.23/30.70 | | | | | | | | | | | | | | | | | | | | | (2964) op(e2, e2) = e1
% 194.23/30.70 | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.70 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (1551), (2964), (function-axioms) are
% 194.23/30.70 | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1512.
% 194.23/30.70 | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.70 | | | | | | | | | | | | | | | | | | | | Case 2:
% 194.23/30.70 | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.70 | | | | | | | | | | | | | | | | | | | | | (2965) all_57_11 = e0 & ~ (all_57_15 = e2) & ~
% 194.23/30.70 | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 194.23/30.70 | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) & op(e2,
% 194.23/30.70 | | | | | | | | | | | | | | | | | | | | | e2) = e0 & op(e2, e0) = all_57_15 & op(e0,
% 194.23/30.70 | | | | | | | | | | | | | | | | | | | | | all_57_25) = all_57_24 & op(e0, all_57_27) =
% 194.23/30.70 | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e0, all_57_29) = all_57_28 & op(e0,
% 194.23/30.70 | | | | | | | | | | | | | | | | | | | | | all_57_31) = all_57_30 & op(e0, e3) = all_57_25
% 194.23/30.70 | | | | | | | | | | | | | | | | | | | | | & op(e0, e2) = all_57_27 & op(e0, e1) = all_57_29
% 194.23/30.70 | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = all_57_31 & $i(all_57_15) &
% 194.23/30.70 | | | | | | | | | | | | | | | | | | | | | $i(all_57_24) & $i(all_57_25) & $i(all_57_26) &
% 194.23/30.70 | | | | | | | | | | | | | | | | | | | | | $i(all_57_27) & $i(all_57_28) & $i(all_57_29) &
% 194.23/30.70 | | | | | | | | | | | | | | | | | | | | | $i(all_57_30) & $i(all_57_31)
% 194.23/30.70 | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.70 | | | | | | | | | | | | | | | | | | | | | ALPHA: (2965) implies:
% 194.23/30.70 | | | | | | | | | | | | | | | | | | | | | (2966) ~ (all_57_30 = e0)
% 194.23/30.70 | | | | | | | | | | | | | | | | | | | | | (2967) op(e0, e0) = all_57_31
% 194.23/30.70 | | | | | | | | | | | | | | | | | | | | | (2968) op(e0, e2) = all_57_27
% 194.23/30.70 | | | | | | | | | | | | | | | | | | | | | (2969) op(e0, all_57_31) = all_57_30
% 194.23/30.70 | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.70 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (226) gives:
% 194.23/30.70 | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.70 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 194.23/30.70 | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.70 | | | | | | | | | | | | | | | | | | | | | | (2970) (all_56_1 = e1 & op(e3, e2) = e1) | (all_56_3 = e1
% 194.23/30.70 | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1)
% 194.23/30.70 | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.70 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (170), (1551), (2919), (2970),
% 194.23/30.70 | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 194.23/30.70 | | | | | | | | | | | | | | | | | | | | | | #1372.
% 194.23/30.70 | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.70 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 194.23/30.70 | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.70 | | | | | | | | | | | | | | | | | | | | | | (2971) (all_56_7 = e1 & op(e1, e2) = e1) | (all_56_13 =
% 194.23/30.70 | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e2) = e1)
% 194.23/30.70 | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.70 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2971) gives:
% 194.23/30.70 | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.70 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 194.23/30.70 | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.70 | | | | | | | | | | | | | | | | | | | | | | | (2972) all_56_7 = e1 & op(e1, e2) = e1
% 194.23/30.70 | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.70 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2972) implies:
% 194.23/30.70 | | | | | | | | | | | | | | | | | | | | | | | (2973) op(e1, e2) = e1
% 194.23/30.70 | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.70 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (162), (2954), (2973), (function-axioms) are
% 194.23/30.70 | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1480.
% 194.23/30.70 | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.70 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 194.23/30.70 | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.71 | | | | | | | | | | | | | | | | | | | | | | | (2974) all_56_13 = e1 & op(e0, e2) = e1
% 194.23/30.71 | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.71 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2974) implies:
% 194.23/30.71 | | | | | | | | | | | | | | | | | | | | | | | (2975) op(e0, e2) = e1
% 194.23/30.71 | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.71 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (45), (189), (246), (376), (1538), (1572), (2942),
% 194.23/30.71 | | | | | | | | | | | | | | | | | | | | | | | (2966), (2967), (2968), (2969), (2975),
% 194.23/30.71 | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 194.23/30.71 | | | | | | | | | | | | | | | | | | | | | | | #1292.
% 194.23/30.71 | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.71 | | | | | | | | | | | | | | | | | | | | | | End of split
% 194.23/30.71 | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.71 | | | | | | | | | | | | | | | | | | | | | End of split
% 194.23/30.71 | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.71 | | | | | | | | | | | | | | | | | | | | End of split
% 194.23/30.71 | | | | | | | | | | | | | | | | | | | |
% 194.23/30.71 | | | | | | | | | | | | | | | | | | | Case 2:
% 194.23/30.71 | | | | | | | | | | | | | | | | | | | |
% 194.23/30.71 | | | | | | | | | | | | | | | | | | | | (2976) (all_57_21 = e3 & ~ (all_57_0 = e3) & ~
% 194.23/30.71 | | | | | | | | | | | | | | | | | | | | (all_57_2 = e2) & ~ (all_57_4 = e1) & ~
% 194.23/30.71 | | | | | | | | | | | | | | | | | | | | (all_57_6 = e0) & ~ (all_57_17 = e1) & op(e3,
% 194.23/30.71 | | | | | | | | | | | | | | | | | | | | all_57_1) = all_57_0 & op(e3, all_57_3) =
% 194.23/30.71 | | | | | | | | | | | | | | | | | | | | all_57_2 & op(e3, all_57_5) = all_57_4 & op(e3,
% 194.23/30.71 | | | | | | | | | | | | | | | | | | | | all_57_7) = all_57_6 & op(e3, e3) = all_57_1 &
% 194.23/30.71 | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_3 & op(e3, e1) = all_57_5 &
% 194.23/30.71 | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_7 & op(e1, e3) = all_57_17 &
% 194.23/30.71 | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e3 & $i(all_57_0) & $i(all_57_1) &
% 194.23/30.71 | | | | | | | | | | | | | | | | | | | | $i(all_57_2) & $i(all_57_3) & $i(all_57_4) &
% 194.23/30.71 | | | | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 194.23/30.71 | | | | | | | | | | | | | | | | | | | | $i(all_57_17)) | (all_57_21 = e2 & ~ (all_57_8
% 194.23/30.71 | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_10 = e2) & ~ (all_57_12 =
% 194.23/30.71 | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_14 = e0) & ~ (all_57_19 =
% 194.23/30.71 | | | | | | | | | | | | | | | | | | | | e1) & op(e2, all_57_9) = all_57_8 & op(e2,
% 194.23/30.71 | | | | | | | | | | | | | | | | | | | | all_57_11) = all_57_10 & op(e2, all_57_13) =
% 194.23/30.71 | | | | | | | | | | | | | | | | | | | | all_57_12 & op(e2, all_57_15) = all_57_14 &
% 194.23/30.71 | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_9 & op(e2, e2) = all_57_11 &
% 194.23/30.71 | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_57_13 & op(e2, e0) = all_57_15
% 194.23/30.71 | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = all_57_19 & op(e1, e1) = e2 &
% 194.23/30.71 | | | | | | | | | | | | | | | | | | | | $i(all_57_8) & $i(all_57_9) & $i(all_57_10) &
% 194.23/30.71 | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_12) & $i(all_57_13) &
% 194.23/30.71 | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & $i(all_57_15) & $i(all_57_19)) |
% 194.23/30.71 | | | | | | | | | | | | | | | | | | | | (op(e0, e0) = all_57_31 & $i(all_57_31) &
% 194.23/30.71 | | | | | | | | | | | | | | | | | | | | ((all_57_21 = e0 & ~ (all_57_23 = e1) & ~
% 194.23/30.71 | | | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 194.23/30.71 | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) &
% 194.23/30.71 | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = all_57_23 &
% 194.23/30.71 | | | | | | | | | | | | | | | | | | | | op(e0, all_57_25) = all_57_24 & op(e0,
% 194.23/30.71 | | | | | | | | | | | | | | | | | | | | all_57_27) = all_57_26 & op(e0, all_57_29)
% 194.23/30.71 | | | | | | | | | | | | | | | | | | | | = all_57_28 & op(e0, all_57_31) = all_57_30
% 194.23/30.71 | | | | | | | | | | | | | | | | | | | | & op(e0, e3) = all_57_25 & op(e0, e2) =
% 194.23/30.71 | | | | | | | | | | | | | | | | | | | | all_57_27 & op(e0, e1) = all_57_29 &
% 194.23/30.71 | | | | | | | | | | | | | | | | | | | | $i(all_57_23) & $i(all_57_24) &
% 194.23/30.71 | | | | | | | | | | | | | | | | | | | | $i(all_57_25) & $i(all_57_26) &
% 194.23/30.71 | | | | | | | | | | | | | | | | | | | | $i(all_57_27) & $i(all_57_28) &
% 194.23/30.71 | | | | | | | | | | | | | | | | | | | | $i(all_57_29) & $i(all_57_30)) | (all_57_31
% 194.23/30.71 | | | | | | | | | | | | | | | | | | | | = e3 & ~ (all_57_0 = e3) & ~ (all_57_2 =
% 194.23/30.71 | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_4 = e1) & ~ (all_57_6 =
% 194.23/30.71 | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_25 = e0) & op(e3,
% 194.23/30.71 | | | | | | | | | | | | | | | | | | | | all_57_1) = all_57_0 & op(e3, all_57_3) =
% 194.23/30.71 | | | | | | | | | | | | | | | | | | | | all_57_2 & op(e3, all_57_5) = all_57_4 &
% 194.23/30.71 | | | | | | | | | | | | | | | | | | | | op(e3, all_57_7) = all_57_6 & op(e3, e3) =
% 194.23/30.71 | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e2) = all_57_3 & op(e3,
% 194.23/30.71 | | | | | | | | | | | | | | | | | | | | e1) = all_57_5 & op(e3, e0) = all_57_7 &
% 194.23/30.71 | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_25 & $i(all_57_0) &
% 194.23/30.71 | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_2) & $i(all_57_3) &
% 194.23/30.71 | | | | | | | | | | | | | | | | | | | | $i(all_57_4) & $i(all_57_5) & $i(all_57_6) &
% 194.23/30.71 | | | | | | | | | | | | | | | | | | | | $i(all_57_7) & $i(all_57_25)) | (all_57_31 =
% 194.23/30.71 | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_8 = e3) & ~ (all_57_10 =
% 194.23/30.71 | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_12 = e1) & ~ (all_57_14
% 194.23/30.71 | | | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_27 = e0) & op(e2,
% 194.23/30.71 | | | | | | | | | | | | | | | | | | | | all_57_9) = all_57_8 & op(e2, all_57_11) =
% 194.23/30.71 | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e2, all_57_13) = all_57_12 &
% 194.23/30.71 | | | | | | | | | | | | | | | | | | | | op(e2, all_57_15) = all_57_14 & op(e2, e3) =
% 194.23/30.71 | | | | | | | | | | | | | | | | | | | | all_57_9 & op(e2, e2) = all_57_11 & op(e2,
% 194.23/30.71 | | | | | | | | | | | | | | | | | | | | e1) = all_57_13 & op(e2, e0) = all_57_15 &
% 194.23/30.71 | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_27 & $i(all_57_8) &
% 194.23/30.71 | | | | | | | | | | | | | | | | | | | | $i(all_57_9) & $i(all_57_10) & $i(all_57_11)
% 194.23/30.71 | | | | | | | | | | | | | | | | | | | | & $i(all_57_12) & $i(all_57_13) &
% 194.23/30.71 | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & $i(all_57_15) &
% 194.23/30.71 | | | | | | | | | | | | | | | | | | | | $i(all_57_27)) | (all_57_31 = e1 & ~
% 194.23/30.71 | | | | | | | | | | | | | | | | | | | | (all_57_16 = e3) & ~ (all_57_18 = e2) & ~
% 194.23/30.71 | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_22 = e0) & ~
% 194.23/30.71 | | | | | | | | | | | | | | | | | | | | (all_57_29 = e0) & op(e1, all_57_17) =
% 194.23/30.71 | | | | | | | | | | | | | | | | | | | | all_57_16 & op(e1, all_57_19) = all_57_18 &
% 194.23/30.71 | | | | | | | | | | | | | | | | | | | | op(e1, all_57_21) = all_57_20 & op(e1,
% 194.23/30.71 | | | | | | | | | | | | | | | | | | | | all_57_23) = all_57_22 & op(e1, e3) =
% 194.23/30.71 | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e1, e2) = all_57_19 & op(e1,
% 194.23/30.71 | | | | | | | | | | | | | | | | | | | | e1) = all_57_21 & op(e1, e0) = all_57_23 &
% 194.23/30.71 | | | | | | | | | | | | | | | | | | | | op(e0, e1) = all_57_29 & $i(all_57_16) &
% 194.23/30.71 | | | | | | | | | | | | | | | | | | | | $i(all_57_17) & $i(all_57_18) &
% 194.23/30.71 | | | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_20) &
% 194.23/30.71 | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_22) &
% 194.23/30.71 | | | | | | | | | | | | | | | | | | | | $i(all_57_23) & $i(all_57_29))))
% 194.23/30.71 | | | | | | | | | | | | | | | | | | | |
% 194.23/30.71 | | | | | | | | | | | | | | | | | | | | BETA: splitting (2976) gives:
% 194.23/30.71 | | | | | | | | | | | | | | | | | | | |
% 194.23/30.71 | | | | | | | | | | | | | | | | | | | | Case 1:
% 194.23/30.71 | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.71 | | | | | | | | | | | | | | | | | | | | | (2977) all_57_21 = e3 & ~ (all_57_0 = e3) & ~ (all_57_2
% 194.23/30.71 | | | | | | | | | | | | | | | | | | | | | = e2) & ~ (all_57_4 = e1) & ~ (all_57_6 = e0)
% 194.23/30.71 | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_17 = e1) & op(e3, all_57_1) =
% 194.23/30.71 | | | | | | | | | | | | | | | | | | | | | all_57_0 & op(e3, all_57_3) = all_57_2 & op(e3,
% 194.23/30.71 | | | | | | | | | | | | | | | | | | | | | all_57_5) = all_57_4 & op(e3, all_57_7) =
% 194.23/30.71 | | | | | | | | | | | | | | | | | | | | | all_57_6 & op(e3, e3) = all_57_1 & op(e3, e2) =
% 194.23/30.71 | | | | | | | | | | | | | | | | | | | | | all_57_3 & op(e3, e1) = all_57_5 & op(e3, e0) =
% 194.23/30.71 | | | | | | | | | | | | | | | | | | | | | all_57_7 & op(e1, e3) = all_57_17 & op(e1, e1) =
% 194.23/30.71 | | | | | | | | | | | | | | | | | | | | | e3 & $i(all_57_0) & $i(all_57_1) & $i(all_57_2) &
% 194.23/30.71 | | | | | | | | | | | | | | | | | | | | | $i(all_57_3) & $i(all_57_4) & $i(all_57_5) &
% 194.23/30.71 | | | | | | | | | | | | | | | | | | | | | $i(all_57_6) & $i(all_57_7) & $i(all_57_17)
% 194.23/30.71 | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.71 | | | | | | | | | | | | | | | | | | | | | ALPHA: (2977) implies:
% 194.23/30.71 | | | | | | | | | | | | | | | | | | | | | (2978) op(e1, e1) = e3
% 194.23/30.71 | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.71 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (2957), (2978), (function-axioms) are
% 194.23/30.71 | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1958.
% 194.23/30.71 | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.71 | | | | | | | | | | | | | | | | | | | | Case 2:
% 194.23/30.71 | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.71 | | | | | | | | | | | | | | | | | | | | | (2979) (all_57_21 = e2 & ~ (all_57_8 = e3) & ~
% 194.23/30.71 | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e2) & ~ (all_57_12 = e1) & ~
% 194.23/30.71 | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e0) & ~ (all_57_19 = e1) & op(e2,
% 194.23/30.71 | | | | | | | | | | | | | | | | | | | | | all_57_9) = all_57_8 & op(e2, all_57_11) =
% 194.23/30.71 | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e2, all_57_13) = all_57_12 &
% 194.23/30.71 | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_15) = all_57_14 & op(e2, e3) =
% 194.23/30.71 | | | | | | | | | | | | | | | | | | | | | all_57_9 & op(e2, e2) = all_57_11 & op(e2, e1) =
% 194.23/30.71 | | | | | | | | | | | | | | | | | | | | | all_57_13 & op(e2, e0) = all_57_15 & op(e1, e2)
% 194.23/30.71 | | | | | | | | | | | | | | | | | | | | | = all_57_19 & op(e1, e1) = e2 & $i(all_57_8) &
% 194.23/30.71 | | | | | | | | | | | | | | | | | | | | | $i(all_57_9) & $i(all_57_10) & $i(all_57_11) &
% 194.23/30.71 | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & $i(all_57_13) & $i(all_57_14) &
% 194.23/30.71 | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & $i(all_57_19)) | (op(e0, e0) =
% 194.23/30.71 | | | | | | | | | | | | | | | | | | | | | all_57_31 & $i(all_57_31) & ((all_57_21 = e0 &
% 194.23/30.71 | | | | | | | | | | | | | | | | | | | | | ~ (all_57_23 = e1) & ~ (all_57_24 = e3) &
% 194.23/30.71 | | | | | | | | | | | | | | | | | | | | | ~ (all_57_26 = e2) & ~ (all_57_28 = e1) &
% 194.23/30.71 | | | | | | | | | | | | | | | | | | | | | ~ (all_57_30 = e0) & op(e1, e1) = e0 &
% 194.23/30.71 | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_23 & op(e0, all_57_25) =
% 194.23/30.71 | | | | | | | | | | | | | | | | | | | | | all_57_24 & op(e0, all_57_27) = all_57_26 &
% 194.23/30.71 | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_29) = all_57_28 & op(e0,
% 194.23/30.71 | | | | | | | | | | | | | | | | | | | | | all_57_31) = all_57_30 & op(e0, e3) =
% 194.23/30.71 | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_27 & op(e0,
% 194.23/30.71 | | | | | | | | | | | | | | | | | | | | | e1) = all_57_29 & $i(all_57_23) &
% 194.23/30.71 | | | | | | | | | | | | | | | | | | | | | $i(all_57_24) & $i(all_57_25) &
% 194.23/30.71 | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_27) &
% 194.23/30.71 | | | | | | | | | | | | | | | | | | | | | $i(all_57_28) & $i(all_57_29) &
% 194.23/30.71 | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_31 = e3 & ~
% 194.23/30.71 | | | | | | | | | | | | | | | | | | | | | (all_57_0 = e3) & ~ (all_57_2 = e2) & ~
% 194.23/30.71 | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1) & ~ (all_57_6 = e0) & ~
% 194.23/30.71 | | | | | | | | | | | | | | | | | | | | | (all_57_25 = e0) & op(e3, all_57_1) =
% 194.23/30.71 | | | | | | | | | | | | | | | | | | | | | all_57_0 & op(e3, all_57_3) = all_57_2 &
% 194.23/30.71 | | | | | | | | | | | | | | | | | | | | | op(e3, all_57_5) = all_57_4 & op(e3,
% 194.23/30.71 | | | | | | | | | | | | | | | | | | | | | all_57_7) = all_57_6 & op(e3, e3) =
% 194.23/30.71 | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e2) = all_57_3 & op(e3,
% 194.23/30.71 | | | | | | | | | | | | | | | | | | | | | e1) = all_57_5 & op(e3, e0) = all_57_7 &
% 194.23/30.71 | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_25 & $i(all_57_0) &
% 194.23/30.71 | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_2) & $i(all_57_3) &
% 194.23/30.71 | | | | | | | | | | | | | | | | | | | | | $i(all_57_4) & $i(all_57_5) & $i(all_57_6) &
% 194.23/30.71 | | | | | | | | | | | | | | | | | | | | | $i(all_57_7) & $i(all_57_25)) | (all_57_31 =
% 194.23/30.71 | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_8 = e3) & ~ (all_57_10 =
% 194.23/30.71 | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_12 = e1) & ~ (all_57_14
% 194.23/30.71 | | | | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_27 = e0) & op(e2,
% 194.23/30.71 | | | | | | | | | | | | | | | | | | | | | all_57_9) = all_57_8 & op(e2, all_57_11) =
% 194.23/30.71 | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e2, all_57_13) = all_57_12 &
% 194.23/30.71 | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_15) = all_57_14 & op(e2, e3) =
% 194.23/30.71 | | | | | | | | | | | | | | | | | | | | | all_57_9 & op(e2, e2) = all_57_11 & op(e2,
% 194.23/30.71 | | | | | | | | | | | | | | | | | | | | | e1) = all_57_13 & op(e2, e0) = all_57_15 &
% 194.23/30.71 | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_27 & $i(all_57_8) &
% 194.23/30.71 | | | | | | | | | | | | | | | | | | | | | $i(all_57_9) & $i(all_57_10) & $i(all_57_11)
% 194.23/30.71 | | | | | | | | | | | | | | | | | | | | | & $i(all_57_12) & $i(all_57_13) &
% 194.23/30.71 | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & $i(all_57_15) &
% 194.23/30.71 | | | | | | | | | | | | | | | | | | | | | $i(all_57_27)) | (all_57_31 = e1 & ~
% 194.23/30.71 | | | | | | | | | | | | | | | | | | | | | (all_57_16 = e3) & ~ (all_57_18 = e2) & ~
% 194.23/30.71 | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_22 = e0) & ~
% 194.23/30.71 | | | | | | | | | | | | | | | | | | | | | (all_57_29 = e0) & op(e1, all_57_17) =
% 194.23/30.71 | | | | | | | | | | | | | | | | | | | | | all_57_16 & op(e1, all_57_19) = all_57_18 &
% 194.23/30.71 | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_21) = all_57_20 & op(e1,
% 194.23/30.71 | | | | | | | | | | | | | | | | | | | | | all_57_23) = all_57_22 & op(e1, e3) =
% 194.23/30.71 | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e1, e2) = all_57_19 & op(e1,
% 194.23/30.71 | | | | | | | | | | | | | | | | | | | | | e1) = all_57_21 & op(e1, e0) = all_57_23 &
% 194.23/30.71 | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = all_57_29 & $i(all_57_16) &
% 194.23/30.71 | | | | | | | | | | | | | | | | | | | | | $i(all_57_17) & $i(all_57_18) &
% 194.23/30.71 | | | | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_20) &
% 194.23/30.71 | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_22) &
% 194.23/30.71 | | | | | | | | | | | | | | | | | | | | | $i(all_57_23) & $i(all_57_29))))
% 194.23/30.71 | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.71 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2979) gives:
% 194.23/30.71 | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.71 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 194.23/30.71 | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.71 | | | | | | | | | | | | | | | | | | | | | | (2980) all_57_21 = e2 & ~ (all_57_8 = e3) & ~
% 194.23/30.71 | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e2) & ~ (all_57_12 = e1) & ~
% 194.23/30.71 | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e0) & ~ (all_57_19 = e1) & op(e2,
% 194.23/30.71 | | | | | | | | | | | | | | | | | | | | | | all_57_9) = all_57_8 & op(e2, all_57_11) =
% 194.23/30.71 | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e2, all_57_13) = all_57_12 & op(e2,
% 194.23/30.71 | | | | | | | | | | | | | | | | | | | | | | all_57_15) = all_57_14 & op(e2, e3) = all_57_9 &
% 194.23/30.71 | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_11 & op(e2, e1) = all_57_13 &
% 194.23/30.71 | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_15 & op(e1, e2) = all_57_19 &
% 194.23/30.71 | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e2 & $i(all_57_8) & $i(all_57_9) &
% 194.23/30.71 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & $i(all_57_11) & $i(all_57_12) &
% 194.23/30.71 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13) & $i(all_57_14) & $i(all_57_15) &
% 194.23/30.71 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19)
% 194.23/30.71 | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.71 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2980) implies:
% 194.23/30.71 | | | | | | | | | | | | | | | | | | | | | | (2981) op(e1, e1) = e2
% 194.23/30.71 | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.71 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (2957), (2981), (function-axioms) are
% 194.23/30.71 | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1957.
% 194.23/30.71 | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.71 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 194.23/30.71 | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.71 | | | | | | | | | | | | | | | | | | | | | | (2982) op(e0, e0) = all_57_31 & $i(all_57_31) &
% 194.23/30.71 | | | | | | | | | | | | | | | | | | | | | | ((all_57_21 = e0 & ~ (all_57_23 = e1) & ~
% 194.23/30.71 | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 194.23/30.71 | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) &
% 194.23/30.71 | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = all_57_23 &
% 194.23/30.71 | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_25) = all_57_24 & op(e0,
% 194.23/30.71 | | | | | | | | | | | | | | | | | | | | | | all_57_27) = all_57_26 & op(e0, all_57_29) =
% 194.23/30.71 | | | | | | | | | | | | | | | | | | | | | | all_57_28 & op(e0, all_57_31) = all_57_30 &
% 194.23/30.71 | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_25 & op(e0, e2) =
% 194.23/30.71 | | | | | | | | | | | | | | | | | | | | | | all_57_27 & op(e0, e1) = all_57_29 &
% 194.23/30.71 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23) & $i(all_57_24) & $i(all_57_25)
% 194.23/30.71 | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_26) & $i(all_57_27) &
% 194.23/30.71 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28) & $i(all_57_29) & $i(all_57_30))
% 194.23/30.71 | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e3 & ~ (all_57_0 = e3) & ~
% 194.23/30.71 | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e2) & ~ (all_57_4 = e1) & ~
% 194.23/30.71 | | | | | | | | | | | | | | | | | | | | | | (all_57_6 = e0) & ~ (all_57_25 = e0) & op(e3,
% 194.23/30.71 | | | | | | | | | | | | | | | | | | | | | | all_57_1) = all_57_0 & op(e3, all_57_3) =
% 194.23/30.71 | | | | | | | | | | | | | | | | | | | | | | all_57_2 & op(e3, all_57_5) = all_57_4 &
% 194.23/30.71 | | | | | | | | | | | | | | | | | | | | | | op(e3, all_57_7) = all_57_6 & op(e3, e3) =
% 194.23/30.71 | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e2) = all_57_3 & op(e3, e1)
% 194.23/30.71 | | | | | | | | | | | | | | | | | | | | | | = all_57_5 & op(e3, e0) = all_57_7 & op(e0,
% 194.23/30.71 | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_25 & $i(all_57_0) &
% 194.23/30.71 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_2) & $i(all_57_3) &
% 194.23/30.71 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4) & $i(all_57_5) & $i(all_57_6) &
% 194.23/30.71 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7) & $i(all_57_25)) | (all_57_31 =
% 194.23/30.71 | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_8 = e3) & ~ (all_57_10 = e2)
% 194.23/30.71 | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_12 = e1) & ~ (all_57_14 = e0) &
% 194.23/30.71 | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_27 = e0) & op(e2, all_57_9) =
% 194.23/30.71 | | | | | | | | | | | | | | | | | | | | | | all_57_8 & op(e2, all_57_11) = all_57_10 &
% 194.23/30.71 | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_13) = all_57_12 & op(e2,
% 194.23/30.71 | | | | | | | | | | | | | | | | | | | | | | all_57_15) = all_57_14 & op(e2, e3) =
% 194.23/30.71 | | | | | | | | | | | | | | | | | | | | | | all_57_9 & op(e2, e2) = all_57_11 & op(e2, e1)
% 194.23/30.71 | | | | | | | | | | | | | | | | | | | | | | = all_57_13 & op(e2, e0) = all_57_15 & op(e0,
% 194.23/30.71 | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_27 & $i(all_57_8) &
% 194.23/30.71 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9) & $i(all_57_10) & $i(all_57_11) &
% 194.23/30.71 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & $i(all_57_13) & $i(all_57_14)
% 194.23/30.71 | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_15) & $i(all_57_27)) | (all_57_31
% 194.23/30.71 | | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_16 = e3) & ~ (all_57_18 =
% 194.23/30.71 | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_20 = e1) & ~ (all_57_22 =
% 194.23/30.71 | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_29 = e0) & op(e1,
% 194.23/30.71 | | | | | | | | | | | | | | | | | | | | | | all_57_17) = all_57_16 & op(e1, all_57_19) =
% 194.23/30.71 | | | | | | | | | | | | | | | | | | | | | | all_57_18 & op(e1, all_57_21) = all_57_20 &
% 194.23/30.71 | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_23) = all_57_22 & op(e1, e3) =
% 194.23/30.71 | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e1, e2) = all_57_19 & op(e1,
% 194.23/30.71 | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_21 & op(e1, e0) = all_57_23 &
% 194.23/30.71 | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = all_57_29 & $i(all_57_16) &
% 194.23/30.71 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_17) & $i(all_57_18) & $i(all_57_19)
% 194.23/30.71 | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_20) & $i(all_57_21) &
% 194.23/30.71 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_23) &
% 194.23/30.71 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29)))
% 194.23/30.71 | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.71 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2982) implies:
% 194.23/30.71 | | | | | | | | | | | | | | | | | | | | | | (2983) op(e0, e0) = all_57_31
% 194.23/30.71 | | | | | | | | | | | | | | | | | | | | | | (2984) (all_57_21 = e0 & ~ (all_57_23 = e1) & ~
% 194.23/30.71 | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 194.23/30.71 | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) & op(e1,
% 194.23/30.71 | | | | | | | | | | | | | | | | | | | | | | e1) = e0 & op(e1, e0) = all_57_23 & op(e0,
% 194.23/30.71 | | | | | | | | | | | | | | | | | | | | | | all_57_25) = all_57_24 & op(e0, all_57_27) =
% 194.23/30.71 | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e0, all_57_29) = all_57_28 &
% 194.23/30.71 | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_31) = all_57_30 & op(e0, e3) =
% 194.23/30.71 | | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_27 & op(e0, e1)
% 194.23/30.71 | | | | | | | | | | | | | | | | | | | | | | = all_57_29 & $i(all_57_23) & $i(all_57_24) &
% 194.23/30.71 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_25) & $i(all_57_26) & $i(all_57_27) &
% 194.23/30.71 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28) & $i(all_57_29) & $i(all_57_30)) |
% 194.23/30.71 | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e3 & ~ (all_57_0 = e3) & ~
% 194.23/30.71 | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e2) & ~ (all_57_4 = e1) & ~
% 194.23/30.71 | | | | | | | | | | | | | | | | | | | | | | (all_57_6 = e0) & ~ (all_57_25 = e0) & op(e3,
% 194.23/30.71 | | | | | | | | | | | | | | | | | | | | | | all_57_1) = all_57_0 & op(e3, all_57_3) =
% 194.23/30.71 | | | | | | | | | | | | | | | | | | | | | | all_57_2 & op(e3, all_57_5) = all_57_4 & op(e3,
% 194.23/30.71 | | | | | | | | | | | | | | | | | | | | | | all_57_7) = all_57_6 & op(e3, e3) = all_57_1 &
% 194.23/30.71 | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_3 & op(e3, e1) = all_57_5 &
% 194.23/30.71 | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_7 & op(e0, e3) = all_57_25 &
% 194.23/30.71 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_0) & $i(all_57_1) & $i(all_57_2) &
% 194.23/30.71 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_3) & $i(all_57_4) & $i(all_57_5) &
% 194.23/30.71 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_6) & $i(all_57_7) & $i(all_57_25)) |
% 194.23/30.71 | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e2 & ~ (all_57_8 = e3) & ~
% 194.23/30.71 | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e2) & ~ (all_57_12 = e1) & ~
% 194.23/30.71 | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e0) & ~ (all_57_27 = e0) & op(e2,
% 194.23/30.71 | | | | | | | | | | | | | | | | | | | | | | all_57_9) = all_57_8 & op(e2, all_57_11) =
% 194.23/30.71 | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e2, all_57_13) = all_57_12 &
% 194.23/30.71 | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_15) = all_57_14 & op(e2, e3) =
% 194.23/30.71 | | | | | | | | | | | | | | | | | | | | | | all_57_9 & op(e2, e2) = all_57_11 & op(e2, e1) =
% 194.23/30.71 | | | | | | | | | | | | | | | | | | | | | | all_57_13 & op(e2, e0) = all_57_15 & op(e0, e2)
% 194.23/30.71 | | | | | | | | | | | | | | | | | | | | | | = all_57_27 & $i(all_57_8) & $i(all_57_9) &
% 194.23/30.71 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & $i(all_57_11) & $i(all_57_12) &
% 194.23/30.71 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13) & $i(all_57_14) & $i(all_57_15) &
% 194.23/30.71 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27)) | (all_57_31 = e1 & ~ (all_57_16
% 194.23/30.71 | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_18 = e2) & ~ (all_57_20 =
% 194.23/30.71 | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_22 = e0) & ~ (all_57_29 =
% 194.23/30.71 | | | | | | | | | | | | | | | | | | | | | | e0) & op(e1, all_57_17) = all_57_16 & op(e1,
% 194.23/30.71 | | | | | | | | | | | | | | | | | | | | | | all_57_19) = all_57_18 & op(e1, all_57_21) =
% 194.23/30.71 | | | | | | | | | | | | | | | | | | | | | | all_57_20 & op(e1, all_57_23) = all_57_22 &
% 194.23/30.71 | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_17 & op(e1, e2) = all_57_19
% 194.23/30.71 | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = all_57_21 & op(e1, e0) =
% 194.23/30.71 | | | | | | | | | | | | | | | | | | | | | | all_57_23 & op(e0, e1) = all_57_29 &
% 194.23/30.71 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_16) & $i(all_57_17) & $i(all_57_18) &
% 194.23/30.71 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_20) & $i(all_57_21) &
% 194.23/30.71 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_23) & $i(all_57_29))
% 194.23/30.71 | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.71 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (226) gives:
% 194.23/30.71 | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.71 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 194.23/30.71 | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.71 | | | | | | | | | | | | | | | | | | | | | | | (2985) (all_56_1 = e1 & op(e3, e2) = e1) | (all_56_3 = e1
% 194.23/30.71 | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1)
% 194.23/30.71 | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.71 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (170), (1551), (2919), (2985),
% 194.23/30.71 | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 194.23/30.71 | | | | | | | | | | | | | | | | | | | | | | | #1372.
% 194.23/30.71 | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.71 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 194.23/30.71 | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.71 | | | | | | | | | | | | | | | | | | | | | | | (2986) (all_56_7 = e1 & op(e1, e2) = e1) | (all_56_13 =
% 194.23/30.71 | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e2) = e1)
% 194.23/30.71 | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.71 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2986) gives:
% 194.23/30.71 | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.71 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 194.23/30.71 | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.71 | | | | | | | | | | | | | | | | | | | | | | | | (2987) all_56_7 = e1 & op(e1, e2) = e1
% 194.23/30.71 | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.71 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2987) implies:
% 194.23/30.71 | | | | | | | | | | | | | | | | | | | | | | | | (2988) op(e1, e2) = e1
% 194.23/30.71 | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.71 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (162), (2954), (2988), (function-axioms) are
% 194.23/30.71 | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1480.
% 194.23/30.71 | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.71 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 194.23/30.71 | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.71 | | | | | | | | | | | | | | | | | | | | | | | | (2989) all_56_13 = e1 & op(e0, e2) = e1
% 194.23/30.71 | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.71 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2989) implies:
% 194.23/30.71 | | | | | | | | | | | | | | | | | | | | | | | | (2990) op(e0, e2) = e1
% 194.23/30.71 | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.71 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (214) gives:
% 194.23/30.71 | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.71 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 194.23/30.71 | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.71 | | | | | | | | | | | | | | | | | | | | | | | | | (2991) (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_7 = e1
% 194.23/30.71 | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e1)
% 194.23/30.71 | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.71 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (162), (163), (2917), (2925), (2954), (2991),
% 194.23/30.71 | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 194.23/30.71 | | | | | | | | | | | | | | | | | | | | | | | | | #1291.
% 194.23/30.71 | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.71 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 194.23/30.71 | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.71 | | | | | | | | | | | | | | | | | | | | | | | | | (2992) (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_11 =
% 194.23/30.71 | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e1, e0) = e1)
% 194.23/30.71 | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.71 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2992) gives:
% 194.23/30.71 | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.71 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 194.23/30.71 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.71 | | | | | | | | | | | | | | | | | | | | | | | | | | (2993) all_56_8 = e1 & op(e1, e1) = e1
% 194.23/30.71 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.71 | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_10_2,
% 194.23/30.71 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_31, e0, e0, simplifying with (45), (2983)
% 194.23/30.71 | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 194.23/30.71 | | | | | | | | | | | | | | | | | | | | | | | | | | (2994) all_57_31 = all_10_2
% 194.23/30.71 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.71 | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_20_1, e1,
% 194.23/30.71 | | | | | | | | | | | | | | | | | | | | | | | | | | e2, e0, simplifying with (1538), (2990) gives:
% 194.23/30.71 | | | | | | | | | | | | | | | | | | | | | | | | | | (2995) all_20_1 = e1
% 194.23/30.71 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.71 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2984) gives:
% 194.23/30.71 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.71 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 194.23/30.71 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2996) (all_57_21 = e0 & ~ (all_57_23 = e1) & ~
% 194.23/30.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 194.23/30.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) & op(e1,
% 194.23/30.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0 & op(e1, e0) = all_57_23 & op(e0,
% 194.23/30.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25) = all_57_24 & op(e0, all_57_27) =
% 194.23/30.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e0, all_57_29) = all_57_28 &
% 194.23/30.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_31) = all_57_30 & op(e0, e3) =
% 194.23/30.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_27 & op(e0, e1)
% 194.23/30.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_29 & $i(all_57_23) & $i(all_57_24) &
% 194.23/30.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_25) & $i(all_57_26) & $i(all_57_27) &
% 194.23/30.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28) & $i(all_57_29) & $i(all_57_30)) |
% 194.23/30.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e3 & ~ (all_57_0 = e3) & ~
% 194.23/30.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e2) & ~ (all_57_4 = e1) & ~
% 194.23/30.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_6 = e0) & ~ (all_57_25 = e0) & op(e3,
% 194.23/30.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1) = all_57_0 & op(e3, all_57_3) =
% 194.23/30.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_2 & op(e3, all_57_5) = all_57_4 & op(e3,
% 194.23/30.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7) = all_57_6 & op(e3, e3) = all_57_1 &
% 194.23/30.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_3 & op(e3, e1) = all_57_5 &
% 194.23/30.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_7 & op(e0, e3) = all_57_25 &
% 194.23/30.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_0) & $i(all_57_1) & $i(all_57_2) &
% 194.23/30.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_3) & $i(all_57_4) & $i(all_57_5) &
% 194.23/30.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_6) & $i(all_57_7) & $i(all_57_25))
% 194.23/30.71 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2996) gives:
% 194.23/30.71 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 194.23/30.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2997) all_57_21 = e0 & ~ (all_57_23 = e1) & ~
% 194.23/30.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 194.23/30.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) & op(e1,
% 194.23/30.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0 & op(e1, e0) = all_57_23 & op(e0,
% 194.23/30.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25) = all_57_24 & op(e0, all_57_27) =
% 194.23/30.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e0, all_57_29) = all_57_28 & op(e0,
% 194.23/30.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_31) = all_57_30 & op(e0, e3) = all_57_25
% 194.23/30.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e2) = all_57_27 & op(e0, e1) = all_57_29
% 194.23/30.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_23) & $i(all_57_24) & $i(all_57_25) &
% 194.23/30.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_27) & $i(all_57_28) &
% 194.23/30.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29) & $i(all_57_30)
% 194.23/30.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2997) implies:
% 194.23/30.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2998) ~ (all_57_30 = e0)
% 194.23/30.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2999) op(e0, e2) = all_57_27
% 194.23/30.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3000) op(e0, all_57_31) = all_57_30
% 194.23/30.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (45), (189), (246), (376), (1538), (1572), (2942),
% 194.23/30.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2983), (2990), (2998), (2999), (3000),
% 194.23/30.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 194.23/30.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1292.
% 194.23/30.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 194.23/30.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3001) all_57_31 = e3 & ~ (all_57_0 = e3) & ~ (all_57_2
% 194.23/30.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2) & ~ (all_57_4 = e1) & ~ (all_57_6 = e0)
% 194.23/30.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_25 = e0) & op(e3, all_57_1) =
% 194.23/30.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_0 & op(e3, all_57_3) = all_57_2 & op(e3,
% 194.23/30.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_5) = all_57_4 & op(e3, all_57_7) =
% 194.23/30.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_6 & op(e3, e3) = all_57_1 & op(e3, e2) =
% 194.23/30.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 & op(e3, e1) = all_57_5 & op(e3, e0) =
% 194.23/30.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7 & op(e0, e3) = all_57_25 & $i(all_57_0) &
% 194.23/30.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_2) & $i(all_57_3) &
% 194.23/30.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4) & $i(all_57_5) & $i(all_57_6) &
% 194.23/30.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7) & $i(all_57_25)
% 194.23/30.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (376), (2994), (3001) are inconsistent by
% 194.23/30.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1290.
% 194.23/30.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 194.23/30.71 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.71 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 194.23/30.71 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3002) (all_57_31 = e2 & ~ (all_57_8 = e3) & ~
% 194.23/30.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e2) & ~ (all_57_12 = e1) & ~
% 194.23/30.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e0) & ~ (all_57_27 = e0) & op(e2,
% 194.23/30.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_9) = all_57_8 & op(e2, all_57_11) =
% 194.23/30.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e2, all_57_13) = all_57_12 &
% 194.23/30.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_15) = all_57_14 & op(e2, e3) =
% 194.23/30.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_9 & op(e2, e2) = all_57_11 & op(e2, e1) =
% 194.23/30.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_13 & op(e2, e0) = all_57_15 & op(e0, e2)
% 194.23/30.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_27 & $i(all_57_8) & $i(all_57_9) &
% 194.23/30.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & $i(all_57_11) & $i(all_57_12) &
% 194.23/30.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13) & $i(all_57_14) & $i(all_57_15) &
% 194.23/30.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27)) | (all_57_31 = e1 & ~ (all_57_16
% 194.23/30.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_18 = e2) & ~ (all_57_20 =
% 194.23/30.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_22 = e0) & ~ (all_57_29 =
% 194.23/30.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & op(e1, all_57_17) = all_57_16 & op(e1,
% 194.23/30.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_19) = all_57_18 & op(e1, all_57_21) =
% 194.23/30.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20 & op(e1, all_57_23) = all_57_22 &
% 194.23/30.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_17 & op(e1, e2) = all_57_19
% 194.23/30.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = all_57_21 & op(e1, e0) =
% 194.23/30.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23 & op(e0, e1) = all_57_29 &
% 194.23/30.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_16) & $i(all_57_17) & $i(all_57_18) &
% 194.23/30.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_20) & $i(all_57_21) &
% 194.23/30.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_23) & $i(all_57_29))
% 194.23/30.72 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3002) gives:
% 194.23/30.72 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 194.23/30.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3003) all_57_31 = e2 & ~ (all_57_8 = e3) & ~
% 194.23/30.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e2) & ~ (all_57_12 = e1) & ~
% 194.23/30.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e0) & ~ (all_57_27 = e0) & op(e2,
% 194.23/30.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_9) = all_57_8 & op(e2, all_57_11) =
% 194.23/30.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e2, all_57_13) = all_57_12 & op(e2,
% 194.23/30.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15) = all_57_14 & op(e2, e3) = all_57_9 &
% 194.23/30.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_11 & op(e2, e1) = all_57_13 &
% 194.23/30.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_15 & op(e0, e2) = all_57_27 &
% 194.23/30.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8) & $i(all_57_9) & $i(all_57_10) &
% 194.23/30.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_12) & $i(all_57_13) &
% 194.23/30.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & $i(all_57_15) & $i(all_57_27)
% 194.23/30.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2942), (2994), (3003) are inconsistent by
% 194.23/30.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1289.
% 194.23/30.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 194.23/30.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3004) all_57_31 = e1 & ~ (all_57_16 = e3) & ~
% 194.23/30.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_18 = e2) & ~ (all_57_20 = e1) & ~
% 194.23/30.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_22 = e0) & ~ (all_57_29 = e0) & op(e1,
% 194.23/30.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17) = all_57_16 & op(e1, all_57_19) =
% 194.23/30.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_18 & op(e1, all_57_21) = all_57_20 & op(e1,
% 194.23/30.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23) = all_57_22 & op(e1, e3) = all_57_17
% 194.23/30.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = all_57_19 & op(e1, e1) = all_57_21
% 194.23/30.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e0) = all_57_23 & op(e0, e1) = all_57_29
% 194.23/30.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_16) & $i(all_57_17) & $i(all_57_18) &
% 194.23/30.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_20) & $i(all_57_21) &
% 194.23/30.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_23) & $i(all_57_29)
% 194.23/30.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3004) implies:
% 194.23/30.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3005) ~ (all_57_20 = e1)
% 194.23/30.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3006) op(e1, e1) = all_57_21
% 194.23/30.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3007) op(e1, all_57_21) = all_57_20
% 194.23/30.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2957), (3005), (3006), (3007), (function-axioms)
% 194.23/30.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1953.
% 194.23/30.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 194.23/30.72 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.72 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 194.23/30.72 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.72 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 194.23/30.72 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.72 | | | | | | | | | | | | | | | | | | | | | | | | | | (3008) all_56_11 = e1 & op(e1, e0) = e1
% 194.23/30.72 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.72 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3008) implies:
% 194.23/30.72 | | | | | | | | | | | | | | | | | | | | | | | | | | (3009) op(e1, e0) = e1
% 194.23/30.72 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.72 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (160), (2955), (3009), (function-axioms) are
% 194.23/30.72 | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1938.
% 194.23/30.72 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.72 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 194.23/30.72 | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.72 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 194.23/30.72 | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.72 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 194.23/30.72 | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.72 | | | | | | | | | | | | | | | | | | | | | | End of split
% 194.23/30.72 | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.72 | | | | | | | | | | | | | | | | | | | | | End of split
% 194.23/30.72 | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.72 | | | | | | | | | | | | | | | | | | | | End of split
% 194.23/30.72 | | | | | | | | | | | | | | | | | | | |
% 194.23/30.72 | | | | | | | | | | | | | | | | | | | End of split
% 194.23/30.72 | | | | | | | | | | | | | | | | | | |
% 194.23/30.72 | | | | | | | | | | | | | | | | | | End of split
% 194.23/30.72 | | | | | | | | | | | | | | | | | |
% 194.23/30.72 | | | | | | | | | | | | | | | | | Case 2:
% 194.23/30.72 | | | | | | | | | | | | | | | | | |
% 194.23/30.72 | | | | | | | | | | | | | | | | | | (3010) all_54_10 = e0
% 194.23/30.72 | | | | | | | | | | | | | | | | | |
% 194.23/30.72 | | | | | | | | | | | | | | | | | | REF_CLOSE: (335), (372), (3010) are inconsistent by sub-proof
% 194.23/30.72 | | | | | | | | | | | | | | | | | | #1950.
% 194.23/30.72 | | | | | | | | | | | | | | | | | |
% 194.23/30.72 | | | | | | | | | | | | | | | | | End of split
% 194.23/30.72 | | | | | | | | | | | | | | | | |
% 194.23/30.72 | | | | | | | | | | | | | | | | End of split
% 194.23/30.72 | | | | | | | | | | | | | | | |
% 194.23/30.72 | | | | | | | | | | | | | | | End of split
% 194.23/30.72 | | | | | | | | | | | | | | |
% 194.23/30.72 | | | | | | | | | | | | | | Case 2:
% 194.23/30.72 | | | | | | | | | | | | | | |
% 194.23/30.72 | | | | | | | | | | | | | | | (3011) all_32_2 = e3
% 194.23/30.72 | | | | | | | | | | | | | | | (3012) op(e3, e1) = all_32_1 & $i(all_32_1) & ( ~
% 194.23/30.72 | | | | | | | | | | | | | | | (all_32_1 = e0) | ( ~ (all_32_0 = e2) & op(e0,
% 194.23/30.72 | | | | | | | | | | | | | | | e3) = all_32_0 & $i(all_32_0)))
% 194.23/30.72 | | | | | | | | | | | | | | |
% 194.23/30.72 | | | | | | | | | | | | | | | ALPHA: (3012) implies:
% 194.23/30.72 | | | | | | | | | | | | | | | (3013) op(e3, e1) = all_32_1
% 194.23/30.72 | | | | | | | | | | | | | | | (3014) ~ (all_32_1 = e0) | ( ~ (all_32_0 = e2) & op(e0,
% 194.23/30.72 | | | | | | | | | | | | | | | e3) = all_32_0 & $i(all_32_0))
% 194.23/30.72 | | | | | | | | | | | | | | |
% 194.23/30.72 | | | | | | | | | | | | | | | COMBINE_EQS: (301), (3011) imply:
% 194.23/30.72 | | | | | | | | | | | | | | | (3015) all_4_2 = e3
% 194.23/30.72 | | | | | | | | | | | | | | |
% 194.23/30.72 | | | | | | | | | | | | | | | COMBINE_EQS: (295), (3015) imply:
% 194.23/30.72 | | | | | | | | | | | | | | | (3016) all_50_2 = e3
% 194.23/30.72 | | | | | | | | | | | | | | |
% 194.23/30.72 | | | | | | | | | | | | | | | REDUCE: (360), (3015) imply:
% 194.23/30.72 | | | | | | | | | | | | | | | (3017) ~ (all_52_6 = e3)
% 194.23/30.72 | | | | | | | | | | | | | | |
% 194.23/30.72 | | | | | | | | | | | | | | | REDUCE: (362), (3015) imply:
% 194.23/30.72 | | | | | | | | | | | | | | | (3018) ~ (all_52_8 = e3)
% 194.23/30.72 | | | | | | | | | | | | | | |
% 194.23/30.72 | | | | | | | | | | | | | | | REDUCE: (363), (3015) imply:
% 194.23/30.72 | | | | | | | | | | | | | | | (3019) ~ (all_52_9 = e3)
% 194.23/30.72 | | | | | | | | | | | | | | |
% 194.23/30.72 | | | | | | | | | | | | | | | REDUCE: (365), (3015) imply:
% 194.23/30.72 | | | | | | | | | | | | | | | (3020) ~ (all_52_11 = e3)
% 194.23/30.72 | | | | | | | | | | | | | | |
% 194.23/30.72 | | | | | | | | | | | | | | | REDUCE: (367), (3015) imply:
% 194.23/30.72 | | | | | | | | | | | | | | | (3021) ~ (all_52_14 = e3)
% 194.23/30.72 | | | | | | | | | | | | | | |
% 194.23/30.72 | | | | | | | | | | | | | | | REDUCE: (2939), (3015) imply:
% 194.23/30.72 | | | | | | | | | | | | | | | (3022) ~ (all_28_1 = e3)
% 194.23/30.72 | | | | | | | | | | | | | | |
% 194.23/30.72 | | | | | | | | | | | | | | | REDUCE: (36), (3015) imply:
% 194.23/30.72 | | | | | | | | | | | | | | | (3023) op(e1, e1) = e3
% 194.23/30.72 | | | | | | | | | | | | | | |
% 194.23/30.72 | | | | | | | | | | | | | | | BETA: splitting (106) gives:
% 194.23/30.72 | | | | | | | | | | | | | | |
% 194.23/30.72 | | | | | | | | | | | | | | | Case 1:
% 194.23/30.72 | | | | | | | | | | | | | | | |
% 194.23/30.72 | | | | | | | | | | | | | | | | (3024) ~ (all_50_2 = e3)
% 194.23/30.72 | | | | | | | | | | | | | | | |
% 194.23/30.72 | | | | | | | | | | | | | | | | REDUCE: (3016), (3024) imply:
% 194.23/30.72 | | | | | | | | | | | | | | | | (3025) $false
% 194.23/30.72 | | | | | | | | | | | | | | | |
% 194.23/30.72 | | | | | | | | | | | | | | | | CLOSE: (3025) is inconsistent.
% 194.23/30.72 | | | | | | | | | | | | | | | |
% 194.23/30.72 | | | | | | | | | | | | | | | Case 2:
% 194.23/30.72 | | | | | | | | | | | | | | | |
% 194.23/30.72 | | | | | | | | | | | | | | | | (3026) op(e3, e1) = all_50_1 & $i(all_50_1) & ( ~
% 194.23/30.72 | | | | | | | | | | | | | | | | (all_50_1 = e2) | ( ~ (all_50_0 = e0) & op(e2,
% 194.23/30.72 | | | | | | | | | | | | | | | | e3) = all_50_0 & $i(all_50_0)))
% 194.23/30.72 | | | | | | | | | | | | | | | |
% 194.23/30.72 | | | | | | | | | | | | | | | | ALPHA: (3026) implies:
% 194.23/30.72 | | | | | | | | | | | | | | | | (3027) op(e3, e1) = all_50_1
% 194.23/30.72 | | | | | | | | | | | | | | | |
% 194.23/30.72 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_8,
% 194.23/30.72 | | | | | | | | | | | | | | | | all_32_1, e1, e3, simplifying with (169), (3013)
% 194.23/30.72 | | | | | | | | | | | | | | | | gives:
% 194.23/30.72 | | | | | | | | | | | | | | | | (3028) all_52_8 = all_32_1
% 194.23/30.72 | | | | | | | | | | | | | | | |
% 194.23/30.72 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_8,
% 194.23/30.72 | | | | | | | | | | | | | | | | all_50_1, e1, e3, simplifying with (169), (3027)
% 194.23/30.72 | | | | | | | | | | | | | | | | gives:
% 194.23/30.72 | | | | | | | | | | | | | | | | (3029) all_52_8 = all_50_1
% 194.23/30.72 | | | | | | | | | | | | | | | |
% 194.23/30.72 | | | | | | | | | | | | | | | | COMBINE_EQS: (3028), (3029) imply:
% 194.23/30.72 | | | | | | | | | | | | | | | | (3030) all_50_1 = all_32_1
% 194.23/30.72 | | | | | | | | | | | | | | | |
% 194.23/30.72 | | | | | | | | | | | | | | | | SIMP: (3030) implies:
% 194.23/30.72 | | | | | | | | | | | | | | | | (3031) all_50_1 = all_32_1
% 194.23/30.72 | | | | | | | | | | | | | | | |
% 194.23/30.72 | | | | | | | | | | | | | | | | REDUCE: (121), (3028) imply:
% 194.23/30.72 | | | | | | | | | | | | | | | | (3032) ~ (all_52_11 = all_32_1)
% 194.23/30.72 | | | | | | | | | | | | | | | |
% 194.23/30.72 | | | | | | | | | | | | | | | | SIMP: (3032) implies:
% 194.23/30.72 | | | | | | | | | | | | | | | | (3033) ~ (all_52_11 = all_32_1)
% 194.23/30.72 | | | | | | | | | | | | | | | |
% 194.23/30.72 | | | | | | | | | | | | | | | | BETA: splitting (91) gives:
% 194.23/30.72 | | | | | | | | | | | | | | | |
% 194.23/30.72 | | | | | | | | | | | | | | | | Case 1:
% 194.23/30.72 | | | | | | | | | | | | | | | | |
% 194.23/30.72 | | | | | | | | | | | | | | | | | (3034) ~ (all_40_2 = e1)
% 194.23/30.72 | | | | | | | | | | | | | | | | |
% 194.23/30.72 | | | | | | | | | | | | | | | | | REDUCE: (307), (3034) imply:
% 194.23/30.72 | | | | | | | | | | | | | | | | | (3035) ~ (all_10_2 = e1)
% 194.23/30.72 | | | | | | | | | | | | | | | | |
% 194.23/30.72 | | | | | | | | | | | | | | | | | BETA: splitting (189) gives:
% 194.23/30.72 | | | | | | | | | | | | | | | | |
% 194.23/30.72 | | | | | | | | | | | | | | | | | Case 1:
% 194.23/30.72 | | | | | | | | | | | | | | | | | |
% 194.23/30.72 | | | | | | | | | | | | | | | | | | (3036) all_54_15 = e3
% 194.23/30.72 | | | | | | | | | | | | | | | | | |
% 194.23/30.72 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (246), (3036) imply:
% 194.23/30.72 | | | | | | | | | | | | | | | | | | (3037) all_10_2 = e3
% 194.23/30.72 | | | | | | | | | | | | | | | | | |
% 194.23/30.72 | | | | | | | | | | | | | | | | | | REDUCE: (376), (3037) imply:
% 194.23/30.72 | | | | | | | | | | | | | | | | | | (3038) $false
% 194.23/30.72 | | | | | | | | | | | | | | | | | |
% 194.23/30.72 | | | | | | | | | | | | | | | | | | CLOSE: (3038) is inconsistent.
% 194.23/30.72 | | | | | | | | | | | | | | | | | |
% 194.23/30.72 | | | | | | | | | | | | | | | | | Case 2:
% 194.23/30.72 | | | | | | | | | | | | | | | | | |
% 194.23/30.72 | | | | | | | | | | | | | | | | | | (3039) ~ (all_54_15 = e3)
% 194.23/30.72 | | | | | | | | | | | | | | | | | | (3040) all_54_15 = e2 | all_54_15 = e1 | all_54_15 = e0
% 194.23/30.72 | | | | | | | | | | | | | | | | | |
% 194.23/30.72 | | | | | | | | | | | | | | | | | | BETA: splitting (3040) gives:
% 194.23/30.72 | | | | | | | | | | | | | | | | | |
% 194.23/30.72 | | | | | | | | | | | | | | | | | | Case 1:
% 194.23/30.72 | | | | | | | | | | | | | | | | | | |
% 194.23/30.72 | | | | | | | | | | | | | | | | | | | (3041) all_54_15 = e2
% 194.23/30.72 | | | | | | | | | | | | | | | | | | |
% 194.23/30.72 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (246), (3041) imply:
% 194.23/30.72 | | | | | | | | | | | | | | | | | | | (3042) all_10_2 = e2
% 194.23/30.72 | | | | | | | | | | | | | | | | | | |
% 194.23/30.72 | | | | | | | | | | | | | | | | | | | REDUCE: (2942), (3042) imply:
% 194.23/30.72 | | | | | | | | | | | | | | | | | | | (3043) $false
% 194.23/30.72 | | | | | | | | | | | | | | | | | | |
% 194.23/30.72 | | | | | | | | | | | | | | | | | | | CLOSE: (3043) is inconsistent.
% 194.23/30.72 | | | | | | | | | | | | | | | | | | |
% 194.23/30.72 | | | | | | | | | | | | | | | | | | Case 2:
% 194.23/30.72 | | | | | | | | | | | | | | | | | | |
% 194.23/30.72 | | | | | | | | | | | | | | | | | | | (3044) ~ (all_54_15 = e2)
% 194.23/30.72 | | | | | | | | | | | | | | | | | | | (3045) all_54_15 = e1 | all_54_15 = e0
% 194.23/30.72 | | | | | | | | | | | | | | | | | | |
% 194.23/30.72 | | | | | | | | | | | | | | | | | | | BETA: splitting (3045) gives:
% 194.23/30.72 | | | | | | | | | | | | | | | | | | |
% 194.23/30.72 | | | | | | | | | | | | | | | | | | | Case 1:
% 194.23/30.72 | | | | | | | | | | | | | | | | | | | |
% 194.23/30.72 | | | | | | | | | | | | | | | | | | | | (3046) all_54_15 = e1
% 194.23/30.72 | | | | | | | | | | | | | | | | | | | |
% 194.23/30.72 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (246), (3046) imply:
% 194.23/30.72 | | | | | | | | | | | | | | | | | | | | (3047) all_10_2 = e1
% 194.23/30.72 | | | | | | | | | | | | | | | | | | | |
% 194.23/30.72 | | | | | | | | | | | | | | | | | | | | REDUCE: (3035), (3047) imply:
% 194.23/30.72 | | | | | | | | | | | | | | | | | | | | (3048) $false
% 194.23/30.72 | | | | | | | | | | | | | | | | | | | |
% 194.23/30.72 | | | | | | | | | | | | | | | | | | | | CLOSE: (3048) is inconsistent.
% 194.23/30.72 | | | | | | | | | | | | | | | | | | | |
% 194.23/30.72 | | | | | | | | | | | | | | | | | | | Case 2:
% 194.23/30.72 | | | | | | | | | | | | | | | | | | | |
% 194.23/30.72 | | | | | | | | | | | | | | | | | | | | (3049) all_54_15 = e0
% 194.23/30.72 | | | | | | | | | | | | | | | | | | | |
% 194.23/30.72 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (246), (3049) imply:
% 194.23/30.72 | | | | | | | | | | | | | | | | | | | | (3050) all_10_2 = e0
% 194.23/30.72 | | | | | | | | | | | | | | | | | | | |
% 194.23/30.72 | | | | | | | | | | | | | | | | | | | | REDUCE: (350), (3050) imply:
% 194.23/30.72 | | | | | | | | | | | | | | | | | | | | (3051) ~ (all_52_3 = e0)
% 194.23/30.72 | | | | | | | | | | | | | | | | | | | |
% 194.23/30.72 | | | | | | | | | | | | | | | | | | | | REDUCE: (368), (3050) imply:
% 194.23/30.72 | | | | | | | | | | | | | | | | | | | | (3052) ~ (all_52_11 = e0)
% 194.23/30.72 | | | | | | | | | | | | | | | | | | | |
% 194.23/30.72 | | | | | | | | | | | | | | | | | | | | REDUCE: (2942), (3050) imply:
% 194.23/30.72 | | | | | | | | | | | | | | | | | | | | (3053) ~ (e2 = e0)
% 194.23/30.72 | | | | | | | | | | | | | | | | | | | |
% 194.23/30.72 | | | | | | | | | | | | | | | | | | | | REDUCE: (45), (3050) imply:
% 194.23/30.72 | | | | | | | | | | | | | | | | | | | | (3054) op(e0, e0) = e0
% 194.23/30.72 | | | | | | | | | | | | | | | | | | | |
% 194.23/30.72 | | | | | | | | | | | | | | | | | | | | BETA: splitting (229) gives:
% 194.23/30.72 | | | | | | | | | | | | | | | | | | | |
% 194.23/30.72 | | | | | | | | | | | | | | | | | | | | Case 1:
% 194.23/30.72 | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.72 | | | | | | | | | | | | | | | | | | | | | (3055) (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0
% 194.23/30.72 | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e0)
% 194.23/30.72 | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.72 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (158), (162), (222),
% 194.23/30.72 | | | | | | | | | | | | | | | | | | | | | (223), (224), (225), (226), (227), (228), (1545),
% 194.23/30.72 | | | | | | | | | | | | | | | | | | | | | (1546), (1551), (2921), (3055), (function-axioms)
% 194.23/30.72 | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1288.
% 194.23/30.72 | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.72 | | | | | | | | | | | | | | | | | | | | Case 2:
% 194.23/30.72 | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.72 | | | | | | | | | | | | | | | | | | | | | (3056) (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 =
% 194.23/30.72 | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e3) = e0)
% 194.23/30.72 | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.72 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3056) gives:
% 194.23/30.72 | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.72 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 194.23/30.72 | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.72 | | | | | | | | | | | | | | | | | | | | | | (3057) all_56_6 = e0 & op(e1, e3) = e0
% 194.23/30.72 | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.72 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3057) implies:
% 194.23/30.72 | | | | | | | | | | | | | | | | | | | | | | (3058) all_56_6 = e0
% 194.23/30.72 | | | | | | | | | | | | | | | | | | | | | | (3059) op(e1, e3) = e0
% 194.23/30.72 | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.72 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (230) gives:
% 194.23/30.72 | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.72 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 194.23/30.72 | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.72 | | | | | | | | | | | | | | | | | | | | | | | (3060) (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_1 = e0
% 194.23/30.72 | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e0)
% 194.23/30.72 | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.72 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (226), (227), (228),
% 194.23/30.72 | | | | | | | | | | | | | | | | | | | | | | | (1551), (2921), (3060), (function-axioms) are
% 194.23/30.72 | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1311.
% 194.23/30.72 | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.72 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 194.23/30.72 | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.72 | | | | | | | | | | | | | | | | | | | | | | | (3061) (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_9 = e0
% 194.23/30.72 | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e0)
% 194.23/30.72 | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.72 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3061) gives:
% 194.23/30.72 | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.72 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 194.23/30.72 | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.72 | | | | | | | | | | | | | | | | | | | | | | | | (3062) all_56_4 = e0 & op(e3, e1) = e0
% 194.23/30.72 | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.72 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3062) implies:
% 194.23/30.72 | | | | | | | | | | | | | | | | | | | | | | | | (3063) op(e3, e1) = e0
% 194.23/30.72 | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.72 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (9), (118), (148), (157), (159), (165),
% 194.23/30.72 | | | | | | | | | | | | | | | | | | | | | | | | (167), (190), (192), (200), (222), (224), (229),
% 194.23/30.72 | | | | | | | | | | | | | | | | | | | | | | | | (233), (235), (247), (249), (269), (1551), (2913),
% 194.23/30.72 | | | | | | | | | | | | | | | | | | | | | | | | (2916), (2918), (2921), (2926), (2930), (2932),
% 194.23/30.72 | | | | | | | | | | | | | | | | | | | | | | | | (2934), (3013), (3014), (3019), (3020), (3022),
% 194.23/30.72 | | | | | | | | | | | | | | | | | | | | | | | | (3033), (3058), (3059), (3063), (function-axioms)
% 194.23/30.72 | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1275.
% 194.23/30.72 | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.72 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 194.23/30.72 | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.72 | | | | | | | | | | | | | | | | | | | | | | | | (3064) all_56_9 = e0 & op(e3, e0) = e0
% 194.23/30.72 | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.72 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3064) implies:
% 194.23/30.72 | | | | | | | | | | | | | | | | | | | | | | | | (3065) all_56_9 = e0
% 194.23/30.72 | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.72 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (236) gives:
% 194.23/30.72 | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.72 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 194.23/30.72 | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.72 | | | | | | | | | | | | | | | | | | | | | | | | | (3066) (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_1 = e3
% 194.23/30.72 | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e3)
% 194.23/30.72 | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.72 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3066) gives:
% 194.23/30.72 | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.72 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 194.23/30.72 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.72 | | | | | | | | | | | | | | | | | | | | | | | | | | (3067) all_56_0 = e3 & op(e3, e3) = e3
% 194.23/30.72 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.72 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3067) implies:
% 194.23/30.72 | | | | | | | | | | | | | | | | | | | | | | | | | | (3068) op(e3, e3) = e3
% 194.23/30.72 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.72 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (2921), (3068), (function-axioms) are
% 194.23/30.72 | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1924.
% 194.23/30.72 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.72 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 194.23/30.72 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.72 | | | | | | | | | | | | | | | | | | | | | | | | | | (3069) all_56_1 = e3 & op(e3, e2) = e3
% 194.23/30.72 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.72 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3069) implies:
% 194.23/30.72 | | | | | | | | | | | | | | | | | | | | | | | | | | (3070) all_56_1 = e3
% 194.23/30.72 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.72 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (212) gives:
% 194.23/30.72 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.72 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 194.23/30.72 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3071) (all_56_9 = e3 & op(e3, e0) = e3) | (all_56_10 =
% 194.23/30.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e0) = e3)
% 194.23/30.72 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3071) gives:
% 194.23/30.72 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 194.23/30.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3072) all_56_9 = e3 & op(e3, e0) = e3
% 194.23/30.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3072) implies:
% 194.23/30.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3073) all_56_9 = e3
% 194.23/30.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3065), (3073) imply:
% 194.23/30.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3074) e3 = e0
% 194.23/30.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3074) implies:
% 194.23/30.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3075) e3 = e0
% 194.23/30.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3070), (3075) imply:
% 194.23/30.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3076) all_56_1 = e0
% 194.23/30.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (226), (227), (228),
% 194.23/30.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1551), (3076), (function-axioms) are inconsistent
% 194.23/30.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1496.
% 194.23/30.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 194.23/30.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3077) all_56_10 = e3 & op(e2, e0) = e3
% 194.23/30.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3077) implies:
% 194.23/30.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3078) all_56_10 = e3
% 194.23/30.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (217) gives:
% 194.23/30.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 194.23/30.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3079) (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_5 = e0
% 194.23/30.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e0)
% 194.23/30.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3079) gives:
% 194.23/30.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 194.23/30.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3080) all_56_4 = e0 & op(e3, e1) = e0
% 194.23/30.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3080) implies:
% 194.23/30.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3081) op(e3, e1) = e0
% 194.23/30.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (9), (118), (148), (157), (159), (165),
% 194.23/30.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (167), (190), (192), (200), (222), (224), (229),
% 194.23/30.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (233), (235), (247), (249), (269), (1551), (2913),
% 194.23/30.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2916), (2918), (2921), (2926), (2930), (2932),
% 194.23/30.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2934), (3013), (3014), (3019), (3020), (3022),
% 194.23/30.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3033), (3058), (3059), (3081), (function-axioms)
% 194.23/30.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1275.
% 194.23/30.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 194.23/30.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3082) all_56_5 = e0 & op(e2, e1) = e0
% 194.23/30.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3082) implies:
% 194.23/30.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3083) all_56_5 = e0
% 194.23/30.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (158), (162), (222),
% 194.23/30.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (223), (224), (225), (226), (227), (228), (1545),
% 194.23/30.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1546), (1551), (3078), (3083), (function-axioms)
% 194.23/30.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1466.
% 194.23/30.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 194.23/30.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 194.23/30.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3084) (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_14 =
% 194.23/30.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0)
% 194.23/30.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (157), (3023), (3052), (3084),
% 194.23/30.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 194.23/30.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1274.
% 194.23/30.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 194.23/30.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 194.23/30.72 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.72 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 194.23/30.72 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3085) (all_56_11 = e3 & op(e1, e0) = e3) | (all_56_15 =
% 194.23/30.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = e3)
% 194.23/30.72 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (160), (3021), (3054), (3085),
% 194.23/30.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 194.23/30.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | #1273.
% 194.23/30.72 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.72 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 194.23/30.72 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.72 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 194.23/30.72 | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.72 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 194.23/30.72 | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.72 | | | | | | | | | | | | | | | | | | | | | | | | | (3086) (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_9 = e3
% 194.23/30.72 | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e3)
% 194.23/30.72 | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.72 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (169), (3018), (3065), (3086),
% 194.23/30.72 | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 194.23/30.72 | | | | | | | | | | | | | | | | | | | | | | | | | #1272.
% 194.23/30.72 | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.72 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 194.23/30.72 | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.72 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 194.23/30.72 | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.72 | | | | | | | | | | | | | | | | | | | | | | End of split
% 194.23/30.72 | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.72 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 194.23/30.72 | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.72 | | | | | | | | | | | | | | | | | | | | | | (3087) all_56_12 = e0 & op(e0, e3) = e0
% 194.23/30.72 | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.72 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3087) implies:
% 194.23/30.72 | | | | | | | | | | | | | | | | | | | | | | (3088) op(e0, e3) = e0
% 194.23/30.72 | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.72 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (159), (3051), (3088), (function-axioms) are
% 194.23/30.72 | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1896.
% 194.23/30.72 | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.72 | | | | | | | | | | | | | | | | | | | | | End of split
% 194.23/30.72 | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.72 | | | | | | | | | | | | | | | | | | | | End of split
% 194.23/30.72 | | | | | | | | | | | | | | | | | | | |
% 194.23/30.72 | | | | | | | | | | | | | | | | | | | End of split
% 194.23/30.72 | | | | | | | | | | | | | | | | | | |
% 194.23/30.72 | | | | | | | | | | | | | | | | | | End of split
% 194.23/30.72 | | | | | | | | | | | | | | | | | |
% 194.23/30.72 | | | | | | | | | | | | | | | | | End of split
% 194.23/30.72 | | | | | | | | | | | | | | | | |
% 194.23/30.72 | | | | | | | | | | | | | | | | Case 2:
% 194.23/30.72 | | | | | | | | | | | | | | | | |
% 194.23/30.72 | | | | | | | | | | | | | | | | | (3089) all_40_2 = e1
% 194.23/30.72 | | | | | | | | | | | | | | | | | (3090) op(e1, e0) = all_40_1 & $i(all_40_1) & ( ~
% 194.23/30.72 | | | | | | | | | | | | | | | | | (all_40_1 = e3) | ( ~ (all_40_0 = e2) & op(e3,
% 194.23/30.72 | | | | | | | | | | | | | | | | | e1) = all_40_0 & $i(all_40_0)))
% 194.23/30.72 | | | | | | | | | | | | | | | | |
% 194.23/30.72 | | | | | | | | | | | | | | | | | ALPHA: (3090) implies:
% 194.23/30.72 | | | | | | | | | | | | | | | | | (3091) op(e1, e0) = all_40_1
% 194.23/30.72 | | | | | | | | | | | | | | | | |
% 194.23/30.72 | | | | | | | | | | | | | | | | | COMBINE_EQS: (307), (3089) imply:
% 194.23/30.72 | | | | | | | | | | | | | | | | | (3092) all_10_2 = e1
% 194.23/30.72 | | | | | | | | | | | | | | | | |
% 194.23/30.72 | | | | | | | | | | | | | | | | | SIMP: (3092) implies:
% 194.23/30.72 | | | | | | | | | | | | | | | | | (3093) all_10_2 = e1
% 194.23/30.72 | | | | | | | | | | | | | | | | |
% 194.23/30.72 | | | | | | | | | | | | | | | | | COMBINE_EQS: (297), (3093) imply:
% 194.23/30.72 | | | | | | | | | | | | | | | | | (3094) all_46_2 = e1
% 194.23/30.72 | | | | | | | | | | | | | | | | |
% 194.23/30.72 | | | | | | | | | | | | | | | | | REDUCE: (371), (3093) imply:
% 194.23/30.72 | | | | | | | | | | | | | | | | | (3095) ~ (all_52_14 = e1)
% 194.23/30.72 | | | | | | | | | | | | | | | | |
% 194.23/30.72 | | | | | | | | | | | | | | | | | REDUCE: (376), (3093) imply:
% 194.23/30.72 | | | | | | | | | | | | | | | | | (3096) ~ (e3 = e1)
% 194.23/30.72 | | | | | | | | | | | | | | | | |
% 194.23/30.72 | | | | | | | | | | | | | | | | | REDUCE: (45), (3093) imply:
% 194.23/30.72 | | | | | | | | | | | | | | | | | (3097) op(e0, e0) = e1
% 194.23/30.72 | | | | | | | | | | | | | | | | |
% 194.23/30.72 | | | | | | | | | | | | | | | | | BETA: splitting (100) gives:
% 194.23/30.72 | | | | | | | | | | | | | | | | |
% 194.23/30.72 | | | | | | | | | | | | | | | | | Case 1:
% 194.23/30.72 | | | | | | | | | | | | | | | | | |
% 194.23/30.72 | | | | | | | | | | | | | | | | | | (3098) ~ (all_46_2 = e1)
% 194.23/30.72 | | | | | | | | | | | | | | | | | |
% 194.23/30.72 | | | | | | | | | | | | | | | | | | REDUCE: (3094), (3098) imply:
% 194.23/30.72 | | | | | | | | | | | | | | | | | | (3099) $false
% 194.23/30.72 | | | | | | | | | | | | | | | | | |
% 194.23/30.72 | | | | | | | | | | | | | | | | | | CLOSE: (3099) is inconsistent.
% 194.23/30.72 | | | | | | | | | | | | | | | | | |
% 194.23/30.72 | | | | | | | | | | | | | | | | | Case 2:
% 194.23/30.72 | | | | | | | | | | | | | | | | | |
% 194.23/30.73 | | | | | | | | | | | | | | | | | | (3100) op(e1, e0) = all_46_1 & $i(all_46_1) & ( ~
% 194.23/30.73 | | | | | | | | | | | | | | | | | | (all_46_1 = e2) | ( ~ (all_46_0 = e3) & op(e2,
% 194.23/30.73 | | | | | | | | | | | | | | | | | | e1) = all_46_0 & $i(all_46_0)))
% 194.23/30.73 | | | | | | | | | | | | | | | | | |
% 194.23/30.73 | | | | | | | | | | | | | | | | | | ALPHA: (3100) implies:
% 194.23/30.73 | | | | | | | | | | | | | | | | | | (3101) op(e1, e0) = all_46_1
% 194.23/30.73 | | | | | | | | | | | | | | | | | | (3102) ~ (all_46_1 = e2) | ( ~ (all_46_0 = e3) & op(e2,
% 194.23/30.73 | | | | | | | | | | | | | | | | | | e1) = all_46_0 & $i(all_46_0))
% 194.23/30.73 | | | | | | | | | | | | | | | | | |
% 194.23/30.73 | | | | | | | | | | | | | | | | | | BETA: splitting (222) gives:
% 194.23/30.73 | | | | | | | | | | | | | | | | | |
% 194.23/30.73 | | | | | | | | | | | | | | | | | | Case 1:
% 194.23/30.73 | | | | | | | | | | | | | | | | | | |
% 194.23/30.73 | | | | | | | | | | | | | | | | | | | (3103) (all_56_2 = e1 & op(e2, e3) = e1) | (all_56_3 = e1
% 194.23/30.73 | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1)
% 194.23/30.73 | | | | | | | | | | | | | | | | | | |
% 194.23/30.73 | | | | | | | | | | | | | | | | | | | BETA: splitting (3103) gives:
% 194.23/30.73 | | | | | | | | | | | | | | | | | | |
% 194.23/30.73 | | | | | | | | | | | | | | | | | | | Case 1:
% 194.23/30.73 | | | | | | | | | | | | | | | | | | | |
% 194.23/30.73 | | | | | | | | | | | | | | | | | | | | (3104) all_56_2 = e1 & op(e2, e3) = e1
% 194.23/30.73 | | | | | | | | | | | | | | | | | | | |
% 194.23/30.73 | | | | | | | | | | | | | | | | | | | | ALPHA: (3104) implies:
% 194.23/30.73 | | | | | | | | | | | | | | | | | | | | (3105) all_56_2 = e1
% 194.23/30.73 | | | | | | | | | | | | | | | | | | | |
% 194.23/30.73 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (158), (162), (165),
% 194.23/30.73 | | | | | | | | | | | | | | | | | | | | (206), (208), (217), (218), (222), (223), (224),
% 194.23/30.73 | | | | | | | | | | | | | | | | | | | | (225), (226), (227), (228), (229), (230), (233),
% 194.23/30.73 | | | | | | | | | | | | | | | | | | | | (234), (235), (236), (1545), (1546), (1551),
% 194.23/30.73 | | | | | | | | | | | | | | | | | | | | (2921), (3017), (3019), (3023), (3097), (3105),
% 194.23/30.73 | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 194.23/30.73 | | | | | | | | | | | | | | | | | | | | #1267.
% 194.23/30.73 | | | | | | | | | | | | | | | | | | | |
% 194.23/30.73 | | | | | | | | | | | | | | | | | | | Case 2:
% 194.23/30.73 | | | | | | | | | | | | | | | | | | | |
% 194.23/30.73 | | | | | | | | | | | | | | | | | | | | (3106) all_56_3 = e1 & op(e2, e2) = e1
% 194.23/30.73 | | | | | | | | | | | | | | | | | | | |
% 194.23/30.73 | | | | | | | | | | | | | | | | | | | | ALPHA: (3106) implies:
% 194.23/30.73 | | | | | | | | | | | | | | | | | | | | (3107) op(e2, e2) = e1
% 194.23/30.73 | | | | | | | | | | | | | | | | | | | |
% 194.23/30.73 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (1551), (3107), (function-axioms) are
% 194.23/30.73 | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1512.
% 194.23/30.73 | | | | | | | | | | | | | | | | | | | |
% 194.23/30.73 | | | | | | | | | | | | | | | | | | | End of split
% 194.23/30.73 | | | | | | | | | | | | | | | | | | |
% 194.23/30.73 | | | | | | | | | | | | | | | | | | Case 2:
% 194.23/30.73 | | | | | | | | | | | | | | | | | | |
% 194.23/30.73 | | | | | | | | | | | | | | | | | | | (3108) (all_56_5 = e1 & op(e2, e1) = e1) | (all_56_10 =
% 194.23/30.73 | | | | | | | | | | | | | | | | | | | e1 & op(e2, e0) = e1)
% 194.23/30.73 | | | | | | | | | | | | | | | | | | |
% 194.23/30.73 | | | | | | | | | | | | | | | | | | | BETA: splitting (3108) gives:
% 194.23/30.73 | | | | | | | | | | | | | | | | | | |
% 194.23/30.73 | | | | | | | | | | | | | | | | | | | Case 1:
% 194.23/30.73 | | | | | | | | | | | | | | | | | | | |
% 194.23/30.73 | | | | | | | | | | | | | | | | | | | | (3109) all_56_5 = e1 & op(e2, e1) = e1
% 194.23/30.73 | | | | | | | | | | | | | | | | | | | |
% 194.23/30.73 | | | | | | | | | | | | | | | | | | | | ALPHA: (3109) implies:
% 194.23/30.73 | | | | | | | | | | | | | | | | | | | | (3110) all_56_5 = e1
% 194.23/30.73 | | | | | | | | | | | | | | | | | | | | (3111) op(e2, e1) = e1
% 194.23/30.73 | | | | | | | | | | | | | | | | | | | |
% 194.23/30.73 | | | | | | | | | | | | | | | | | | | | BETA: splitting (226) gives:
% 194.23/30.73 | | | | | | | | | | | | | | | | | | | |
% 194.23/30.73 | | | | | | | | | | | | | | | | | | | | Case 1:
% 194.23/30.73 | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.73 | | | | | | | | | | | | | | | | | | | | | (3112) (all_56_1 = e1 & op(e3, e2) = e1) | (all_56_3 = e1
% 194.23/30.73 | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1)
% 194.23/30.73 | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.73 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (170), (1551), (2919), (3112),
% 194.23/30.73 | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 194.23/30.73 | | | | | | | | | | | | | | | | | | | | | #1372.
% 194.23/30.73 | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.73 | | | | | | | | | | | | | | | | | | | | Case 2:
% 194.23/30.73 | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.73 | | | | | | | | | | | | | | | | | | | | | (3113) (all_56_7 = e1 & op(e1, e2) = e1) | (all_56_13 =
% 194.23/30.73 | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e2) = e1)
% 194.23/30.73 | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.73 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3113) gives:
% 194.23/30.73 | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.73 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 194.23/30.73 | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.73 | | | | | | | | | | | | | | | | | | | | | | (3114) all_56_7 = e1 & op(e1, e2) = e1
% 194.23/30.73 | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.73 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3114) implies:
% 194.23/30.73 | | | | | | | | | | | | | | | | | | | | | | (3115) all_56_7 = e1
% 194.23/30.73 | | | | | | | | | | | | | | | | | | | | | | (3116) op(e1, e2) = e1
% 194.23/30.73 | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.73 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_14,
% 194.23/30.73 | | | | | | | | | | | | | | | | | | | | | | all_40_1, e0, e1, simplifying with (160), (3091)
% 194.23/30.73 | | | | | | | | | | | | | | | | | | | | | | gives:
% 194.23/30.73 | | | | | | | | | | | | | | | | | | | | | | (3117) all_52_14 = all_40_1
% 194.23/30.73 | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.73 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_14,
% 194.23/30.73 | | | | | | | | | | | | | | | | | | | | | | all_46_1, e0, e1, simplifying with (160), (3101)
% 194.23/30.73 | | | | | | | | | | | | | | | | | | | | | | gives:
% 194.23/30.73 | | | | | | | | | | | | | | | | | | | | | | (3118) all_52_14 = all_46_1
% 194.23/30.73 | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.73 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_6, e1,
% 194.23/30.73 | | | | | | | | | | | | | | | | | | | | | | e2, e1, simplifying with (162), (3116) gives:
% 194.23/30.73 | | | | | | | | | | | | | | | | | | | | | | (3119) all_52_6 = e1
% 194.23/30.73 | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.73 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_9, e1,
% 194.23/30.73 | | | | | | | | | | | | | | | | | | | | | | e1, e2, simplifying with (165), (3111) gives:
% 194.23/30.73 | | | | | | | | | | | | | | | | | | | | | | (3120) all_52_9 = e1
% 194.23/30.73 | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.73 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3117), (3118) imply:
% 194.23/30.73 | | | | | | | | | | | | | | | | | | | | | | (3121) all_46_1 = all_40_1
% 194.23/30.73 | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.73 | | | | | | | | | | | | | | | | | | | | | | SIMP: (3121) implies:
% 194.23/30.73 | | | | | | | | | | | | | | | | | | | | | | (3122) all_46_1 = all_40_1
% 194.23/30.73 | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.73 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (250), (3117) imply:
% 194.23/30.73 | | | | | | | | | | | | | | | | | | | | | | (3123) all_54_11 = all_40_1
% 194.23/30.73 | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.73 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2936), (3119) imply:
% 194.23/30.73 | | | | | | | | | | | | | | | | | | | | | | (3124) ~ (all_28_1 = e1)
% 194.23/30.73 | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.73 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (117), (3120) imply:
% 194.23/30.73 | | | | | | | | | | | | | | | | | | | | | | (3125) ~ (all_52_13 = e1)
% 194.23/30.73 | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.73 | | | | | | | | | | | | | | | | | | | | | | SIMP: (3125) implies:
% 194.23/30.73 | | | | | | | | | | | | | | | | | | | | | | (3126) ~ (all_52_13 = e1)
% 194.23/30.73 | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.73 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (110), (3117) imply:
% 194.23/30.73 | | | | | | | | | | | | | | | | | | | | | | (3127) ~ (all_52_13 = all_40_1)
% 194.23/30.73 | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.73 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2938), (3117) imply:
% 194.23/30.73 | | | | | | | | | | | | | | | | | | | | | | (3128) ~ (all_40_1 = all_28_1)
% 194.23/30.73 | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.73 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3021), (3117) imply:
% 194.23/30.73 | | | | | | | | | | | | | | | | | | | | | | (3129) ~ (all_40_1 = e3)
% 194.23/30.73 | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.73 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3095), (3117) imply:
% 194.23/30.73 | | | | | | | | | | | | | | | | | | | | | | (3130) ~ (all_40_1 = e1)
% 194.23/30.73 | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.73 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (200) gives:
% 194.23/30.73 | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.73 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 194.23/30.73 | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.73 | | | | | | | | | | | | | | | | | | | | | | | (3131) all_54_4 = e3
% 194.23/30.73 | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.73 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (269), (3131) imply:
% 194.23/30.73 | | | | | | | | | | | | | | | | | | | | | | | (3132) all_52_1 = e3
% 194.23/30.73 | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.73 | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3132) implies:
% 194.23/30.73 | | | | | | | | | | | | | | | | | | | | | | | (3133) all_52_1 = e3
% 194.23/30.73 | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.73 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (145), (3133) imply:
% 194.23/30.73 | | | | | | | | | | | | | | | | | | | | | | | (3134) ~ (all_52_13 = e3)
% 194.23/30.73 | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.73 | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3134) implies:
% 194.23/30.73 | | | | | | | | | | | | | | | | | | | | | | | (3135) ~ (all_52_13 = e3)
% 194.23/30.73 | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.73 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (167), (3133) imply:
% 194.23/30.73 | | | | | | | | | | | | | | | | | | | | | | | (3136) op(e2, e3) = e3
% 194.23/30.73 | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.73 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (209) gives:
% 194.23/30.73 | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.73 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 194.23/30.73 | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.73 | | | | | | | | | | | | | | | | | | | | | | | | (3137) (all_56_12 = e3 & op(e0, e3) = e3) | (all_56_13 =
% 194.23/30.73 | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e2) = e3)
% 194.23/30.73 | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.73 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3137) gives:
% 194.23/30.73 | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.73 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 194.23/30.73 | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.73 | | | | | | | | | | | | | | | | | | | | | | | | | (3138) all_56_12 = e3 & op(e0, e3) = e3
% 194.23/30.73 | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.73 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3138) implies:
% 194.23/30.73 | | | | | | | | | | | | | | | | | | | | | | | | | (3139) all_56_12 = e3
% 194.23/30.73 | | | | | | | | | | | | | | | | | | | | | | | | | (3140) op(e0, e3) = e3
% 194.23/30.73 | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.73 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (233) gives:
% 194.23/30.73 | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.73 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 194.23/30.73 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.73 | | | | | | | | | | | | | | | | | | | | | | | | | | (3141) (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2
% 194.23/30.73 | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e2)
% 194.23/30.73 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.73 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (9), (2921), (3136), (3141),
% 194.23/30.73 | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 194.23/30.73 | | | | | | | | | | | | | | | | | | | | | | | | | | #1266.
% 194.23/30.73 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.73 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 194.23/30.73 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.73 | | | | | | | | | | | | | | | | | | | | | | | | | | (3142) (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_12 =
% 194.23/30.73 | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e3) = e2)
% 194.23/30.73 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.73 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3142) gives:
% 194.23/30.73 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.73 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 194.23/30.73 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3143) all_56_6 = e2 & op(e1, e3) = e2
% 194.23/30.73 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3143) implies:
% 194.23/30.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3144) all_56_6 = e2
% 194.23/30.73 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (223) gives:
% 194.23/30.73 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 194.23/30.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3145) (all_56_2 = e2 & op(e2, e3) = e2) | (all_56_3 = e2
% 194.23/30.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e2)
% 194.23/30.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (9), (1551), (3136), (3145),
% 194.23/30.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 194.23/30.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1342.
% 194.23/30.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 194.23/30.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3146) (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_10 =
% 194.23/30.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2)
% 194.23/30.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3146) gives:
% 194.23/30.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 194.23/30.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3147) all_56_5 = e2 & op(e2, e1) = e2
% 194.23/30.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3147) implies:
% 194.23/30.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3148) all_56_5 = e2
% 194.23/30.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (3110), (3148) are inconsistent by sub-proof
% 194.23/30.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1454.
% 194.23/30.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 194.23/30.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3149) all_56_10 = e2 & op(e2, e0) = e2
% 194.23/30.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3149) implies:
% 194.23/30.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3150) all_56_10 = e2
% 194.23/30.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (229) gives:
% 194.23/30.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 194.23/30.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3151) (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0
% 194.23/30.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e0)
% 194.23/30.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3151) gives:
% 194.23/30.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 194.23/30.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3152) all_56_0 = e0 & op(e3, e3) = e0
% 194.23/30.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3152) implies:
% 194.23/30.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3153) op(e3, e3) = e0
% 194.23/30.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (2921), (3153), (function-axioms) are
% 194.23/30.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1834.
% 194.23/30.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 194.23/30.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3154) all_56_2 = e0 & op(e2, e3) = e0
% 194.23/30.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3154) implies:
% 194.23/30.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3155) all_56_2 = e0
% 194.23/30.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (7), (8), (9), (222), (224), (1561),
% 194.23/30.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3150), (3155) are inconsistent by sub-proof
% 194.23/30.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1490.
% 194.23/30.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 194.23/30.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 194.23/30.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3156) (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 =
% 194.23/30.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e3) = e0)
% 194.23/30.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (7), (3140), (3144), (3156),
% 194.23/30.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 194.23/30.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1876.
% 194.23/30.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 194.23/30.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 194.23/30.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 194.23/30.73 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.73 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 194.23/30.73 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3157) all_56_12 = e2 & op(e0, e3) = e2
% 194.23/30.73 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3157) implies:
% 194.23/30.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3158) all_56_12 = e2
% 194.23/30.73 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (3139), (3158) are inconsistent by sub-proof
% 194.23/30.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | #1742.
% 194.23/30.73 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.73 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 194.23/30.73 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.73 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 194.23/30.73 | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.73 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 194.23/30.73 | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.73 | | | | | | | | | | | | | | | | | | | | | | | | | (3159) all_56_13 = e3 & op(e0, e2) = e3
% 194.23/30.73 | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.73 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3159) implies:
% 194.23/30.73 | | | | | | | | | | | | | | | | | | | | | | | | | (3160) all_56_13 = e3
% 194.23/30.73 | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.73 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (212) gives:
% 194.23/30.73 | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.73 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 194.23/30.73 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.73 | | | | | | | | | | | | | | | | | | | | | | | | | | (3161) (all_56_9 = e3 & op(e3, e0) = e3) | (all_56_10 =
% 194.23/30.73 | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e0) = e3)
% 194.23/30.73 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.73 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3161) gives:
% 194.23/30.73 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.73 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 194.23/30.73 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3162) all_56_9 = e3 & op(e3, e0) = e3
% 194.23/30.73 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3162) implies:
% 194.23/30.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3163) all_56_9 = e3
% 194.23/30.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3164) op(e3, e0) = e3
% 194.23/30.73 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (223) gives:
% 194.23/30.73 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 194.23/30.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3165) (all_56_2 = e2 & op(e2, e3) = e2) | (all_56_3 = e2
% 194.23/30.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e2)
% 194.23/30.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (9), (1551), (3136), (3165),
% 194.23/30.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 194.23/30.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1342.
% 194.23/30.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 194.23/30.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3166) (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_10 =
% 194.23/30.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2)
% 194.23/30.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3166) gives:
% 194.23/30.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 194.23/30.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3167) all_56_5 = e2 & op(e2, e1) = e2
% 194.23/30.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (3110), (3167) are inconsistent by sub-proof
% 194.23/30.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1265.
% 194.23/30.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 194.23/30.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3168) all_56_10 = e2 & op(e2, e0) = e2
% 194.23/30.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3168) implies:
% 194.23/30.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3169) all_56_10 = e2
% 194.23/30.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (206) gives:
% 194.23/30.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 194.23/30.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3170) all_56_15 = e0 & op(e0, e0) = e0
% 194.23/30.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3170) implies:
% 194.23/30.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3171) op(e0, e0) = e0
% 194.23/30.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (3097), (3171), (function-axioms) are
% 194.23/30.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1708.
% 194.23/30.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 194.23/30.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3172) ((all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 =
% 194.23/30.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_56_11 = e0 &
% 194.23/30.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e0)) & ((all_56_12 = e0 & op(e0,
% 194.23/30.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e0) | (all_56_13 = e0 & op(e0, e2) =
% 194.23/30.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) | (all_56_14 = e0 & op(e0, e1) = e0))
% 194.23/30.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3172) implies:
% 194.23/30.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3173) (all_56_12 = e0 & op(e0, e3) = e0) | (all_56_13 =
% 194.23/30.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0) | (all_56_14 = e0 & op(e0,
% 194.23/30.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0)
% 194.23/30.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3174) (all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 =
% 194.23/30.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_56_11 = e0 & op(e1,
% 194.23/30.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e0)
% 194.23/30.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (197) gives:
% 194.23/30.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 194.23/30.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3175) all_54_7 = e3
% 194.23/30.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (260), (3135), (3175) are inconsistent by
% 194.23/30.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1727.
% 194.23/30.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 194.23/30.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3176) ~ (all_54_7 = e3)
% 194.23/30.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3177) all_54_7 = e2 | all_54_7 = e1 | all_54_7 = e0
% 194.23/30.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3177) gives:
% 194.23/30.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 194.23/30.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3178) all_54_7 = e2
% 194.23/30.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (260), (3178) imply:
% 194.23/30.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3179) all_52_13 = e2
% 194.23/30.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3179) implies:
% 194.23/30.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3180) all_52_13 = e2
% 194.23/30.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3127), (3180) imply:
% 194.23/30.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3181) ~ (all_40_1 = e2)
% 194.23/30.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3181) implies:
% 194.23/30.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3182) ~ (all_40_1 = e2)
% 194.23/30.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3135), (3180) imply:
% 194.23/30.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3183) ~ (e3 = e2)
% 194.23/30.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (164), (3180) imply:
% 194.23/30.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3184) op(e2, e0) = e2
% 194.23/30.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (224) gives:
% 194.23/30.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 194.23/30.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3185) (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3
% 194.23/30.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e3)
% 194.23/30.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3185) gives:
% 194.23/30.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 194.23/30.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3186) all_56_2 = e3 & op(e2, e3) = e3
% 194.23/30.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3186) implies:
% 194.23/30.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3187) all_56_2 = e3
% 194.23/30.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (230) gives:
% 194.23/30.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 194.23/30.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3188) (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_1 = e0
% 194.23/30.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e0)
% 194.23/30.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (226), (227), (228),
% 194.23/30.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1551), (2921), (3188), (function-axioms) are
% 194.23/30.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1311.
% 194.23/30.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 194.23/30.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3189) (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_9 = e0
% 194.23/30.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e0)
% 194.23/30.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3189) gives:
% 194.23/30.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 194.23/30.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3190) all_56_4 = e0 & op(e3, e1) = e0
% 194.23/30.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3190) implies:
% 194.23/30.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3191) all_56_4 = e0
% 194.23/30.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (234) gives:
% 194.23/30.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 194.23/30.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3192) (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_1 = e2
% 194.23/30.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e2)
% 194.23/30.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3192) gives:
% 194.23/30.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 194.23/30.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3193) all_56_0 = e2 & op(e3, e3) = e2
% 194.23/30.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3193) implies:
% 194.23/30.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3194) op(e3, e3) = e2
% 194.23/30.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (2921), (3194), (function-axioms) are
% 194.23/30.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1966.
% 194.23/30.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 194.23/30.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3195) all_56_1 = e2 & op(e3, e2) = e2
% 194.23/30.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3195) implies:
% 194.23/30.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3196) all_56_1 = e2
% 194.23/30.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3197) op(e3, e2) = e2
% 194.23/30.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (193) gives:
% 194.23/30.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 194.23/30.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3198) all_54_11 = e3
% 194.23/30.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3123), (3198) imply:
% 194.23/30.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3199) all_40_1 = e3
% 194.23/30.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3129), (3199) imply:
% 194.23/30.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3200) $false
% 194.23/30.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3200) is inconsistent.
% 194.23/30.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 194.23/30.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3201) all_54_11 = e2 | all_54_11 = e1 | all_54_11 = e0
% 194.23/30.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (219) gives:
% 194.23/30.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 194.23/30.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3202) (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2
% 194.23/30.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e2)
% 194.23/30.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3202) gives:
% 194.23/30.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 194.23/30.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3203) all_56_4 = e2 & op(e3, e1) = e2
% 194.23/30.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3203) implies:
% 194.23/30.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3204) all_56_4 = e2
% 194.23/30.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3191), (3204) imply:
% 194.23/30.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3205) e2 = e0
% 194.23/30.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3205) implies:
% 194.23/30.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3206) e2 = e0
% 194.23/30.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3196), (3206) imply:
% 194.23/30.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3207) all_56_1 = e0
% 194.23/30.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (226), (227), (228),
% 194.23/30.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1551), (3207), (function-axioms) are inconsistent
% 194.23/30.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1496.
% 194.23/30.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 194.23/30.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3208) all_56_5 = e2 & op(e2, e1) = e2
% 194.23/30.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3208) implies:
% 194.23/30.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3209) all_56_5 = e2
% 194.23/30.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3110), (3209) imply:
% 194.23/30.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3210) e2 = e1
% 194.23/30.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (45), (206), (211),
% 194.23/30.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (212), (376), (3097), (3163), (3169), (3174),
% 194.23/30.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3210), (function-axioms) are inconsistent by
% 194.23/30.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1264.
% 194.23/30.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 194.23/30.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 194.23/30.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3211) (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 =
% 194.23/30.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e1) = e2)
% 194.23/30.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3211) gives:
% 194.23/30.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 194.23/30.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3212) all_56_8 = e2 & op(e1, e1) = e2
% 194.23/30.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3212) implies:
% 194.23/30.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3213) op(e1, e1) = e2
% 194.23/30.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (3023), (3213), (function-axioms) are
% 194.23/30.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1919.
% 194.23/30.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 194.23/30.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3214) all_56_14 = e2 & op(e0, e1) = e2
% 194.23/30.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3214) implies:
% 194.23/30.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3215) op(e0, e1) = e2
% 194.23/30.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3173) gives:
% 194.23/30.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 194.23/30.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3216) all_56_12 = e0 & op(e0, e3) = e0
% 194.23/30.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3216) implies:
% 194.23/30.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3217) op(e0, e3) = e0
% 194.23/30.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3174) gives:
% 194.23/30.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 194.23/30.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3218) all_56_9 = e0 & op(e3, e0) = e0
% 194.23/30.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3218) implies:
% 194.23/30.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3219) all_56_9 = e0
% 194.23/30.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3163), (3219) imply:
% 194.23/30.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3220) e3 = e0
% 194.23/30.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3187), (3220) imply:
% 194.23/30.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3221) all_56_2 = e0
% 194.23/30.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (7), (8), (9), (222), (224), (1561),
% 194.23/30.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3169), (3221) are inconsistent by sub-proof
% 194.23/30.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1490.
% 194.23/30.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 194.23/30.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3222) (all_56_10 = e0 & op(e2, e0) = e0) | (all_56_11 =
% 194.23/30.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e1, e0) = e0)
% 194.23/30.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3222) gives:
% 194.23/30.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 194.23/30.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3223) all_56_10 = e0 & op(e2, e0) = e0
% 194.23/30.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (1548), (3223), (function-axioms) are
% 194.23/30.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1263.
% 194.23/30.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 194.23/30.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3224) all_56_11 = e0 & op(e1, e0) = e0
% 194.23/30.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3224) implies:
% 194.23/30.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3225) op(e1, e0) = e0
% 194.23/30.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3201) gives:
% 194.23/30.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 194.23/30.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3226) all_54_11 = e2
% 194.23/30.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3123), (3226) imply:
% 194.23/30.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3227) all_40_1 = e2
% 194.23/30.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3182), (3227) imply:
% 194.23/30.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3228) $false
% 194.23/30.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3228) is inconsistent.
% 194.23/30.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 194.23/30.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3229) all_54_11 = e1 | all_54_11 = e0
% 194.23/30.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (239) gives:
% 194.23/30.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 194.23/30.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3230) (all_57_1 = e2 & ~ (all_57_3 = e3) & ~ (all_57_8
% 194.23/30.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_10 = e2) & ~ (all_57_12 =
% 194.23/30.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_14 = e0) & op(e3, e3) = e2 &
% 194.23/30.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_3 & op(e2, all_57_9) =
% 194.23/30.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_8 & op(e2, all_57_11) = all_57_10 &
% 194.23/30.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_13) = all_57_12 & op(e2,
% 194.23/30.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15) = all_57_14 & op(e2, e3) = all_57_9
% 194.23/30.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = all_57_11 & op(e2, e1) =
% 194.23/30.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_13 & op(e2, e0) = all_57_15 &
% 194.23/30.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_3) & $i(all_57_8) & $i(all_57_9) &
% 194.23/30.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & $i(all_57_11) & $i(all_57_12) &
% 194.23/30.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13) & $i(all_57_14) & $i(all_57_15)) |
% 194.23/30.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e1 & ~ (all_57_5 = e3) & ~
% 194.23/30.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_16 = e3) & ~ (all_57_18 = e2) & ~
% 194.23/30.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_22 = e0) & op(e3,
% 194.23/30.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e1 & op(e3, e1) = all_57_5 & op(e1,
% 194.23/30.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17) = all_57_16 & op(e1, all_57_19) =
% 194.23/30.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_18 & op(e1, all_57_21) = all_57_20 &
% 194.23/30.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_23) = all_57_22 & op(e1, e3) =
% 194.23/30.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e1, e2) = all_57_19 & op(e1, e1)
% 194.23/30.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_21 & op(e1, e0) = all_57_23 &
% 194.23/30.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_16) & $i(all_57_17) &
% 194.23/30.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_19) & $i(all_57_20) &
% 194.23/30.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_22) & $i(all_57_23)) |
% 194.23/30.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e0 & ~ (all_57_7 = e3) & ~
% 194.23/30.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 194.23/30.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) & op(e3,
% 194.23/30.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e0 & op(e3, e0) = all_57_7 & op(e0,
% 194.23/30.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25) = all_57_24 & op(e0, all_57_27) =
% 194.23/30.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e0, all_57_29) = all_57_28 &
% 194.23/30.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_31) = all_57_30 & op(e0, e3) =
% 194.23/30.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_27 & op(e0, e1)
% 194.23/30.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_29 & op(e0, e0) = all_57_31 &
% 194.23/30.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7) & $i(all_57_24) & $i(all_57_25) &
% 194.23/30.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_27) & $i(all_57_28) &
% 194.23/30.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29) & $i(all_57_30) & $i(all_57_31)) |
% 194.23/30.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e3 & ~ (all_57_0 = e3) & ~
% 194.23/30.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e2) & ~ (all_57_4 = e1) & ~
% 194.23/30.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_6 = e0) & ~ (all_57_9 = e2) & op(e3,
% 194.23/30.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1) = all_57_0 & op(e3, all_57_3) =
% 194.23/30.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_2 & op(e3, all_57_5) = all_57_4 & op(e3,
% 194.23/30.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7) = all_57_6 & op(e3, e3) = all_57_1 &
% 194.23/30.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_3 & op(e3, e1) = all_57_5 &
% 194.23/30.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_7 & op(e2, e3) = all_57_9 &
% 194.23/30.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e3 & $i(all_57_0) & $i(all_57_1) &
% 194.23/30.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_2) & $i(all_57_3) & $i(all_57_4) &
% 194.23/30.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 194.23/30.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9))
% 194.23/30.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3230) gives:
% 194.23/30.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 194.23/30.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3231) (all_57_1 = e2 & ~ (all_57_3 = e3) & ~ (all_57_8
% 194.23/30.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_10 = e2) & ~ (all_57_12 =
% 194.23/30.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_14 = e0) & op(e3, e3) = e2 &
% 194.23/30.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_3 & op(e2, all_57_9) =
% 194.23/30.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_8 & op(e2, all_57_11) = all_57_10 &
% 194.23/30.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_13) = all_57_12 & op(e2,
% 194.23/30.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15) = all_57_14 & op(e2, e3) = all_57_9
% 194.23/30.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = all_57_11 & op(e2, e1) =
% 194.23/30.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_13 & op(e2, e0) = all_57_15 &
% 194.23/30.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_3) & $i(all_57_8) & $i(all_57_9) &
% 194.23/30.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & $i(all_57_11) & $i(all_57_12) &
% 194.23/30.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13) & $i(all_57_14) & $i(all_57_15)) |
% 194.23/30.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e1 & ~ (all_57_5 = e3) & ~
% 194.23/30.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_16 = e3) & ~ (all_57_18 = e2) & ~
% 194.23/30.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_22 = e0) & op(e3,
% 194.23/30.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e1 & op(e3, e1) = all_57_5 & op(e1,
% 194.23/30.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17) = all_57_16 & op(e1, all_57_19) =
% 194.23/30.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_18 & op(e1, all_57_21) = all_57_20 &
% 194.23/30.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_23) = all_57_22 & op(e1, e3) =
% 194.23/30.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e1, e2) = all_57_19 & op(e1, e1)
% 194.23/30.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_21 & op(e1, e0) = all_57_23 &
% 194.23/30.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_16) & $i(all_57_17) &
% 194.23/30.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_19) & $i(all_57_20) &
% 194.23/30.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_22) & $i(all_57_23))
% 194.23/30.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3231) gives:
% 194.23/30.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 194.23/30.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3232) all_57_1 = e2 & ~ (all_57_3 = e3) & ~ (all_57_8
% 194.23/30.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_10 = e2) & ~ (all_57_12 =
% 194.23/30.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_14 = e0) & op(e3, e3) = e2 &
% 194.23/30.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_3 & op(e2, all_57_9) =
% 194.23/30.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_8 & op(e2, all_57_11) = all_57_10 & op(e2,
% 194.23/30.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_13) = all_57_12 & op(e2, all_57_15) =
% 194.23/30.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_14 & op(e2, e3) = all_57_9 & op(e2, e2) =
% 194.23/30.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_11 & op(e2, e1) = all_57_13 & op(e2, e0) =
% 194.23/30.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15 & $i(all_57_3) & $i(all_57_8) &
% 194.23/30.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9) & $i(all_57_10) & $i(all_57_11) &
% 194.23/30.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & $i(all_57_13) & $i(all_57_14) &
% 194.23/30.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15)
% 194.23/30.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3232) implies:
% 194.23/30.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3233) op(e3, e3) = e2
% 194.23/30.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (2921), (3233), (function-axioms) are
% 194.23/30.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1966.
% 194.23/30.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 194.23/30.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3234) all_57_1 = e1 & ~ (all_57_5 = e3) & ~ (all_57_16
% 194.23/30.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_18 = e2) & ~ (all_57_20 =
% 194.23/30.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_22 = e0) & op(e3, e3) = e1 &
% 194.23/30.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_57_5 & op(e1, all_57_17) =
% 194.23/30.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_16 & op(e1, all_57_19) = all_57_18 & op(e1,
% 194.23/30.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_21) = all_57_20 & op(e1, all_57_23) =
% 194.23/30.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_22 & op(e1, e3) = all_57_17 & op(e1, e2) =
% 194.23/30.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_19 & op(e1, e1) = all_57_21 & op(e1, e0) =
% 194.23/30.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23 & $i(all_57_5) & $i(all_57_16) &
% 194.23/30.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_17) & $i(all_57_18) & $i(all_57_19) &
% 194.23/30.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_20) & $i(all_57_21) & $i(all_57_22) &
% 194.23/30.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23)
% 194.23/30.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3234) implies:
% 194.23/30.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3235) ~ (all_57_22 = e0)
% 194.23/30.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3236) op(e1, e0) = all_57_23
% 194.23/30.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3237) op(e1, all_57_23) = all_57_22
% 194.23/30.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (160), (250), (3095), (3229), (3235), (3236),
% 194.23/30.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3237), (function-axioms) are inconsistent by
% 194.23/30.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1766.
% 194.23/30.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 194.23/30.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 194.23/30.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3238) (all_57_1 = e0 & ~ (all_57_7 = e3) & ~
% 194.23/30.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 194.23/30.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) & op(e3,
% 194.23/30.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e0 & op(e3, e0) = all_57_7 & op(e0,
% 194.23/30.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25) = all_57_24 & op(e0, all_57_27) =
% 194.23/30.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e0, all_57_29) = all_57_28 &
% 194.23/30.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_31) = all_57_30 & op(e0, e3) =
% 194.23/30.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_27 & op(e0, e1)
% 194.23/30.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_29 & op(e0, e0) = all_57_31 &
% 194.23/30.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7) & $i(all_57_24) & $i(all_57_25) &
% 194.23/30.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_27) & $i(all_57_28) &
% 194.23/30.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29) & $i(all_57_30) & $i(all_57_31)) |
% 194.23/30.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e3 & ~ (all_57_0 = e3) & ~
% 194.23/30.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e2) & ~ (all_57_4 = e1) & ~
% 194.23/30.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_6 = e0) & ~ (all_57_9 = e2) & op(e3,
% 194.23/30.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1) = all_57_0 & op(e3, all_57_3) =
% 194.23/30.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_2 & op(e3, all_57_5) = all_57_4 & op(e3,
% 194.23/30.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7) = all_57_6 & op(e3, e3) = all_57_1 &
% 194.23/30.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_3 & op(e3, e1) = all_57_5 &
% 194.23/30.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_7 & op(e2, e3) = all_57_9 &
% 194.23/30.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e3 & $i(all_57_0) & $i(all_57_1) &
% 194.23/30.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_2) & $i(all_57_3) & $i(all_57_4) &
% 194.23/30.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 194.23/30.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9))
% 194.23/30.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (225), (226), (227),
% 194.23/30.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3160), (3164), (3238), (function-axioms) are
% 194.23/30.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1262.
% 194.23/30.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 194.23/30.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 194.23/30.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3239) (all_57_11 = e1 & ~ (all_57_13 = e2) & ~
% 194.23/30.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_16 = e3) & ~ (all_57_18 = e2) & ~
% 194.23/30.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_22 = e0) & op(e2,
% 194.23/30.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e1 & op(e2, e1) = all_57_13 & op(e1,
% 194.23/30.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17) = all_57_16 & op(e1, all_57_19) =
% 194.23/30.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_18 & op(e1, all_57_21) = all_57_20 &
% 194.23/30.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_23) = all_57_22 & op(e1, e3) =
% 194.23/30.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e1, e2) = all_57_19 & op(e1, e1)
% 194.23/30.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_21 & op(e1, e0) = all_57_23 &
% 194.23/30.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13) & $i(all_57_16) & $i(all_57_17) &
% 194.23/30.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_19) & $i(all_57_20) &
% 194.23/30.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_22) & $i(all_57_23)) |
% 194.23/30.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e0 & ~ (all_57_15 = e2) & ~
% 194.23/30.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 194.23/30.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) & op(e2,
% 194.23/30.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e0 & op(e2, e0) = all_57_15 & op(e0,
% 194.23/30.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25) = all_57_24 & op(e0, all_57_27) =
% 194.23/30.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e0, all_57_29) = all_57_28 &
% 194.23/30.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_31) = all_57_30 & op(e0, e3) =
% 194.23/30.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_27 & op(e0, e1)
% 194.23/30.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_29 & op(e0, e0) = all_57_31 &
% 194.23/30.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & $i(all_57_24) & $i(all_57_25) &
% 194.23/30.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_27) & $i(all_57_28) &
% 194.23/30.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29) & $i(all_57_30) & $i(all_57_31)) |
% 194.23/30.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e3 & ~ (all_57_0 = e3) & ~
% 194.23/30.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e2) & ~ (all_57_4 = e1) & ~
% 194.23/30.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_6 = e0) & ~ (all_57_17 = e1) & op(e3,
% 194.23/30.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1) = all_57_0 & op(e3, all_57_3) =
% 194.23/30.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_2 & op(e3, all_57_5) = all_57_4 & op(e3,
% 194.23/30.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7) = all_57_6 & op(e3, e3) = all_57_1 &
% 194.23/30.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_3 & op(e3, e1) = all_57_5 &
% 194.23/30.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_7 & op(e1, e3) = all_57_17 &
% 194.23/30.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e3 & $i(all_57_0) & $i(all_57_1) &
% 194.23/30.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_2) & $i(all_57_3) & $i(all_57_4) &
% 194.23/30.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 194.23/30.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_17)) | (all_57_21 = e2 & ~ (all_57_8
% 194.23/30.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_10 = e2) & ~ (all_57_12 =
% 194.23/30.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_14 = e0) & ~ (all_57_19 =
% 194.23/30.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & op(e2, all_57_9) = all_57_8 & op(e2,
% 194.23/30.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_11) = all_57_10 & op(e2, all_57_13) =
% 194.23/30.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & op(e2, all_57_15) = all_57_14 &
% 194.23/30.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_9 & op(e2, e2) = all_57_11 &
% 194.23/30.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_57_13 & op(e2, e0) = all_57_15
% 194.23/30.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = all_57_19 & op(e1, e1) = e2 &
% 194.23/30.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8) & $i(all_57_9) & $i(all_57_10) &
% 194.23/30.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_12) & $i(all_57_13) &
% 194.23/30.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & $i(all_57_15) & $i(all_57_19)) |
% 194.23/30.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (op(e0, e0) = all_57_31 & $i(all_57_31) &
% 194.23/30.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_21 = e0 & ~ (all_57_23 = e1) & ~
% 194.23/30.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 194.23/30.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) &
% 194.23/30.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = all_57_23 &
% 194.23/30.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_25) = all_57_24 & op(e0,
% 194.23/30.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27) = all_57_26 & op(e0, all_57_29)
% 194.23/30.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_28 & op(e0, all_57_31) = all_57_30
% 194.23/30.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e3) = all_57_25 & op(e0, e2) =
% 194.23/30.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27 & op(e0, e1) = all_57_29 &
% 194.23/30.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23) & $i(all_57_24) &
% 194.23/30.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_25) & $i(all_57_26) &
% 194.23/30.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27) & $i(all_57_28) &
% 194.23/30.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29) & $i(all_57_30)) | (all_57_31
% 194.23/30.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & ~ (all_57_0 = e3) & ~ (all_57_2 =
% 194.23/30.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_4 = e1) & ~ (all_57_6 =
% 194.23/30.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_25 = e0) & op(e3,
% 194.23/30.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1) = all_57_0 & op(e3, all_57_3) =
% 194.23/30.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_2 & op(e3, all_57_5) = all_57_4 &
% 194.23/30.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, all_57_7) = all_57_6 & op(e3, e3) =
% 194.23/30.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e2) = all_57_3 & op(e3,
% 194.23/30.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_5 & op(e3, e0) = all_57_7 &
% 194.23/30.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_25 & $i(all_57_0) &
% 194.23/30.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_2) & $i(all_57_3) &
% 194.23/30.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4) & $i(all_57_5) & $i(all_57_6) &
% 194.23/30.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7) & $i(all_57_25)) | (all_57_31 =
% 194.23/30.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_8 = e3) & ~ (all_57_10 =
% 194.23/30.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_12 = e1) & ~ (all_57_14
% 194.23/30.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_27 = e0) & op(e2,
% 194.23/30.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_9) = all_57_8 & op(e2, all_57_11) =
% 194.23/30.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e2, all_57_13) = all_57_12 &
% 194.23/30.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_15) = all_57_14 & op(e2, e3) =
% 194.23/30.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_9 & op(e2, e2) = all_57_11 & op(e2,
% 194.23/30.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_13 & op(e2, e0) = all_57_15 &
% 194.23/30.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_27 & $i(all_57_8) &
% 194.23/30.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9) & $i(all_57_10) & $i(all_57_11)
% 194.23/30.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_12) & $i(all_57_13) &
% 194.23/30.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & $i(all_57_15) &
% 194.23/30.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27)) | (all_57_31 = e1 & ~
% 194.23/30.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_16 = e3) & ~ (all_57_18 = e2) & ~
% 194.23/30.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_22 = e0) & ~
% 194.23/30.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_29 = e0) & op(e1, all_57_17) =
% 194.23/30.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_16 & op(e1, all_57_19) = all_57_18 &
% 194.23/30.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_21) = all_57_20 & op(e1,
% 194.23/30.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23) = all_57_22 & op(e1, e3) =
% 194.23/30.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e1, e2) = all_57_19 & op(e1,
% 194.23/30.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_21 & op(e1, e0) = all_57_23 &
% 194.23/30.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = all_57_29 & $i(all_57_16) &
% 194.23/30.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_17) & $i(all_57_18) &
% 194.23/30.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_20) &
% 194.23/30.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_22) &
% 194.23/30.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23) & $i(all_57_29))))
% 194.23/30.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3239) gives:
% 194.23/30.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 194.23/30.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3240) (all_57_11 = e1 & ~ (all_57_13 = e2) & ~
% 194.23/30.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_16 = e3) & ~ (all_57_18 = e2) & ~
% 194.23/30.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_22 = e0) & op(e2,
% 194.23/30.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e1 & op(e2, e1) = all_57_13 & op(e1,
% 194.23/30.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17) = all_57_16 & op(e1, all_57_19) =
% 194.23/30.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_18 & op(e1, all_57_21) = all_57_20 &
% 194.23/30.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_23) = all_57_22 & op(e1, e3) =
% 194.23/30.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e1, e2) = all_57_19 & op(e1, e1)
% 194.23/30.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_21 & op(e1, e0) = all_57_23 &
% 194.23/30.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13) & $i(all_57_16) & $i(all_57_17) &
% 194.23/30.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_19) & $i(all_57_20) &
% 194.23/30.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_22) & $i(all_57_23)) |
% 194.23/30.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e0 & ~ (all_57_15 = e2) & ~
% 194.23/30.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 194.23/30.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) & op(e2,
% 194.23/30.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e0 & op(e2, e0) = all_57_15 & op(e0,
% 194.23/30.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25) = all_57_24 & op(e0, all_57_27) =
% 194.23/30.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e0, all_57_29) = all_57_28 &
% 194.23/30.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_31) = all_57_30 & op(e0, e3) =
% 194.23/30.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_27 & op(e0, e1)
% 194.23/30.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_29 & op(e0, e0) = all_57_31 &
% 194.23/30.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & $i(all_57_24) & $i(all_57_25) &
% 194.23/30.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_27) & $i(all_57_28) &
% 194.23/30.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29) & $i(all_57_30) & $i(all_57_31))
% 194.23/30.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (1551), (3184), (3240), (function-axioms) are
% 194.23/30.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1260.
% 194.23/30.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 194.23/30.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3241) (all_57_21 = e3 & ~ (all_57_0 = e3) & ~
% 194.23/30.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e2) & ~ (all_57_4 = e1) & ~
% 194.23/30.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_6 = e0) & ~ (all_57_17 = e1) & op(e3,
% 194.23/30.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1) = all_57_0 & op(e3, all_57_3) =
% 194.23/30.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_2 & op(e3, all_57_5) = all_57_4 & op(e3,
% 194.23/30.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7) = all_57_6 & op(e3, e3) = all_57_1 &
% 194.23/30.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_3 & op(e3, e1) = all_57_5 &
% 194.23/30.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_7 & op(e1, e3) = all_57_17 &
% 194.23/30.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e3 & $i(all_57_0) & $i(all_57_1) &
% 194.23/30.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_2) & $i(all_57_3) & $i(all_57_4) &
% 194.23/30.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 194.23/30.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_17)) | (all_57_21 = e2 & ~ (all_57_8
% 194.23/30.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_10 = e2) & ~ (all_57_12 =
% 194.23/30.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_14 = e0) & ~ (all_57_19 =
% 194.23/30.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & op(e2, all_57_9) = all_57_8 & op(e2,
% 194.23/30.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_11) = all_57_10 & op(e2, all_57_13) =
% 194.23/30.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & op(e2, all_57_15) = all_57_14 &
% 194.23/30.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_9 & op(e2, e2) = all_57_11 &
% 194.23/30.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_57_13 & op(e2, e0) = all_57_15
% 194.23/30.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = all_57_19 & op(e1, e1) = e2 &
% 194.23/30.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8) & $i(all_57_9) & $i(all_57_10) &
% 194.23/30.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_12) & $i(all_57_13) &
% 194.23/30.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & $i(all_57_15) & $i(all_57_19)) |
% 194.23/30.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (op(e0, e0) = all_57_31 & $i(all_57_31) &
% 194.23/30.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_21 = e0 & ~ (all_57_23 = e1) & ~
% 194.23/30.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 194.23/30.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) &
% 194.23/30.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = all_57_23 &
% 194.23/30.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_25) = all_57_24 & op(e0,
% 194.23/30.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27) = all_57_26 & op(e0, all_57_29)
% 194.23/30.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_28 & op(e0, all_57_31) = all_57_30
% 194.23/30.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e3) = all_57_25 & op(e0, e2) =
% 194.23/30.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27 & op(e0, e1) = all_57_29 &
% 194.23/30.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23) & $i(all_57_24) &
% 194.23/30.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_25) & $i(all_57_26) &
% 194.23/30.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27) & $i(all_57_28) &
% 194.23/30.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29) & $i(all_57_30)) | (all_57_31
% 194.23/30.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & ~ (all_57_0 = e3) & ~ (all_57_2 =
% 194.23/30.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_4 = e1) & ~ (all_57_6 =
% 194.23/30.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_25 = e0) & op(e3,
% 194.23/30.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1) = all_57_0 & op(e3, all_57_3) =
% 194.23/30.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_2 & op(e3, all_57_5) = all_57_4 &
% 194.23/30.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, all_57_7) = all_57_6 & op(e3, e3) =
% 194.23/30.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e2) = all_57_3 & op(e3,
% 194.23/30.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_5 & op(e3, e0) = all_57_7 &
% 194.23/30.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_25 & $i(all_57_0) &
% 194.23/30.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_2) & $i(all_57_3) &
% 194.23/30.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4) & $i(all_57_5) & $i(all_57_6) &
% 194.23/30.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7) & $i(all_57_25)) | (all_57_31 =
% 194.23/30.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_8 = e3) & ~ (all_57_10 =
% 194.23/30.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_12 = e1) & ~ (all_57_14
% 194.23/30.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_27 = e0) & op(e2,
% 194.23/30.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_9) = all_57_8 & op(e2, all_57_11) =
% 194.23/30.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e2, all_57_13) = all_57_12 &
% 194.23/30.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_15) = all_57_14 & op(e2, e3) =
% 194.23/30.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_9 & op(e2, e2) = all_57_11 & op(e2,
% 194.23/30.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_13 & op(e2, e0) = all_57_15 &
% 194.23/30.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_27 & $i(all_57_8) &
% 194.23/30.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9) & $i(all_57_10) & $i(all_57_11)
% 194.23/30.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_12) & $i(all_57_13) &
% 194.23/30.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & $i(all_57_15) &
% 194.23/30.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27)) | (all_57_31 = e1 & ~
% 194.23/30.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_16 = e3) & ~ (all_57_18 = e2) & ~
% 194.23/30.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_22 = e0) & ~
% 194.23/30.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_29 = e0) & op(e1, all_57_17) =
% 194.23/30.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_16 & op(e1, all_57_19) = all_57_18 &
% 194.23/30.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_21) = all_57_20 & op(e1,
% 194.23/30.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23) = all_57_22 & op(e1, e3) =
% 194.23/30.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e1, e2) = all_57_19 & op(e1,
% 194.23/30.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_21 & op(e1, e0) = all_57_23 &
% 194.23/30.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = all_57_29 & $i(all_57_16) &
% 194.23/30.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_17) & $i(all_57_18) &
% 194.23/30.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_20) &
% 194.23/30.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_22) &
% 194.23/30.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23) & $i(all_57_29))))
% 194.23/30.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3241) gives:
% 194.23/30.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 194.23/30.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3242) all_57_21 = e3 & ~ (all_57_0 = e3) & ~ (all_57_2
% 194.23/30.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2) & ~ (all_57_4 = e1) & ~ (all_57_6 = e0)
% 194.23/30.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_17 = e1) & op(e3, all_57_1) =
% 194.23/30.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_0 & op(e3, all_57_3) = all_57_2 & op(e3,
% 194.23/30.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_5) = all_57_4 & op(e3, all_57_7) =
% 194.23/30.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_6 & op(e3, e3) = all_57_1 & op(e3, e2) =
% 194.23/30.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 & op(e3, e1) = all_57_5 & op(e3, e0) =
% 194.23/30.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7 & op(e1, e3) = all_57_17 & op(e1, e1) =
% 194.23/30.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & $i(all_57_0) & $i(all_57_1) & $i(all_57_2) &
% 194.23/30.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_3) & $i(all_57_4) & $i(all_57_5) &
% 194.23/30.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_6) & $i(all_57_7) & $i(all_57_17)
% 194.23/30.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3242) implies:
% 194.23/30.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3243) ~ (all_57_2 = e2)
% 194.23/30.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3244) op(e3, e2) = all_57_3
% 194.23/30.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3245) op(e3, all_57_3) = all_57_2
% 194.23/30.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (3197), (3243), (3244), (3245), (function-axioms)
% 194.23/30.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1383.
% 194.23/30.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 194.23/30.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3246) (all_57_21 = e2 & ~ (all_57_8 = e3) & ~
% 194.23/30.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e2) & ~ (all_57_12 = e1) & ~
% 194.23/30.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e0) & ~ (all_57_19 = e1) & op(e2,
% 194.23/30.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_9) = all_57_8 & op(e2, all_57_11) =
% 194.23/30.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e2, all_57_13) = all_57_12 &
% 194.23/30.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_15) = all_57_14 & op(e2, e3) =
% 194.23/30.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_9 & op(e2, e2) = all_57_11 & op(e2, e1) =
% 194.23/30.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_13 & op(e2, e0) = all_57_15 & op(e1, e2)
% 194.23/30.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_19 & op(e1, e1) = e2 & $i(all_57_8) &
% 194.23/30.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9) & $i(all_57_10) & $i(all_57_11) &
% 194.23/30.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & $i(all_57_13) & $i(all_57_14) &
% 194.23/30.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & $i(all_57_19)) | (op(e0, e0) =
% 194.23/30.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_31 & $i(all_57_31) & ((all_57_21 = e0 &
% 194.23/30.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_23 = e1) & ~ (all_57_24 = e3) &
% 194.23/30.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_26 = e2) & ~ (all_57_28 = e1) &
% 194.23/30.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_30 = e0) & op(e1, e1) = e0 &
% 194.23/30.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_23 & op(e0, all_57_25) =
% 194.23/30.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_24 & op(e0, all_57_27) = all_57_26 &
% 194.23/30.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_29) = all_57_28 & op(e0,
% 194.23/30.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_31) = all_57_30 & op(e0, e3) =
% 194.23/30.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_27 & op(e0,
% 194.23/30.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_29 & $i(all_57_23) &
% 194.23/30.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_24) & $i(all_57_25) &
% 194.23/30.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_27) &
% 194.23/30.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28) & $i(all_57_29) &
% 194.23/30.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_31 = e3 & ~
% 194.23/30.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_0 = e3) & ~ (all_57_2 = e2) & ~
% 194.23/30.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1) & ~ (all_57_6 = e0) & ~
% 194.23/30.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_25 = e0) & op(e3, all_57_1) =
% 194.23/30.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_0 & op(e3, all_57_3) = all_57_2 &
% 194.23/30.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, all_57_5) = all_57_4 & op(e3,
% 194.23/30.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7) = all_57_6 & op(e3, e3) =
% 194.23/30.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e2) = all_57_3 & op(e3,
% 194.23/30.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_5 & op(e3, e0) = all_57_7 &
% 194.23/30.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_25 & $i(all_57_0) &
% 194.23/30.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_2) & $i(all_57_3) &
% 194.23/30.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4) & $i(all_57_5) & $i(all_57_6) &
% 194.23/30.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7) & $i(all_57_25)) | (all_57_31 =
% 194.23/30.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_8 = e3) & ~ (all_57_10 =
% 194.23/30.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_12 = e1) & ~ (all_57_14
% 194.23/30.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_27 = e0) & op(e2,
% 194.23/30.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_9) = all_57_8 & op(e2, all_57_11) =
% 194.23/30.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e2, all_57_13) = all_57_12 &
% 194.23/30.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_15) = all_57_14 & op(e2, e3) =
% 194.23/30.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_9 & op(e2, e2) = all_57_11 & op(e2,
% 194.23/30.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_13 & op(e2, e0) = all_57_15 &
% 194.23/30.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_27 & $i(all_57_8) &
% 194.23/30.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9) & $i(all_57_10) & $i(all_57_11)
% 194.23/30.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_12) & $i(all_57_13) &
% 194.23/30.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & $i(all_57_15) &
% 194.23/30.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27)) | (all_57_31 = e1 & ~
% 194.23/30.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_16 = e3) & ~ (all_57_18 = e2) & ~
% 194.23/30.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_22 = e0) & ~
% 194.23/30.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_29 = e0) & op(e1, all_57_17) =
% 194.23/30.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_16 & op(e1, all_57_19) = all_57_18 &
% 194.23/30.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_21) = all_57_20 & op(e1,
% 194.23/30.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23) = all_57_22 & op(e1, e3) =
% 194.23/30.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e1, e2) = all_57_19 & op(e1,
% 194.23/30.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_21 & op(e1, e0) = all_57_23 &
% 194.23/30.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = all_57_29 & $i(all_57_16) &
% 194.23/30.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_17) & $i(all_57_18) &
% 194.23/30.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_20) &
% 194.23/30.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_22) &
% 194.23/30.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23) & $i(all_57_29))))
% 194.23/30.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3246) gives:
% 194.23/30.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 194.23/30.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3247) all_57_21 = e2 & ~ (all_57_8 = e3) & ~
% 194.23/30.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e2) & ~ (all_57_12 = e1) & ~
% 194.23/30.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e0) & ~ (all_57_19 = e1) & op(e2,
% 194.23/30.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_9) = all_57_8 & op(e2, all_57_11) =
% 194.23/30.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e2, all_57_13) = all_57_12 & op(e2,
% 194.23/30.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15) = all_57_14 & op(e2, e3) = all_57_9 &
% 194.23/30.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_11 & op(e2, e1) = all_57_13 &
% 194.23/30.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_15 & op(e1, e2) = all_57_19 &
% 194.23/30.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e2 & $i(all_57_8) & $i(all_57_9) &
% 194.23/30.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & $i(all_57_11) & $i(all_57_12) &
% 194.23/30.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13) & $i(all_57_14) & $i(all_57_15) &
% 194.23/30.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19)
% 194.23/30.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3247) implies:
% 194.23/30.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3248) op(e1, e1) = e2
% 194.23/30.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (3023), (3248), (function-axioms) are
% 194.23/30.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1919.
% 194.23/30.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 194.23/30.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3249) op(e0, e0) = all_57_31 & $i(all_57_31) &
% 194.23/30.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_21 = e0 & ~ (all_57_23 = e1) & ~
% 194.23/30.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 194.23/30.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) &
% 194.23/30.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = all_57_23 &
% 194.23/30.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_25) = all_57_24 & op(e0,
% 194.23/30.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27) = all_57_26 & op(e0, all_57_29) =
% 194.23/30.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_28 & op(e0, all_57_31) = all_57_30 &
% 194.23/30.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_25 & op(e0, e2) =
% 194.23/30.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27 & op(e0, e1) = all_57_29 &
% 194.23/30.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23) & $i(all_57_24) & $i(all_57_25)
% 194.23/30.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_26) & $i(all_57_27) &
% 194.23/30.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28) & $i(all_57_29) & $i(all_57_30))
% 194.23/30.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e3 & ~ (all_57_0 = e3) & ~
% 194.23/30.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e2) & ~ (all_57_4 = e1) & ~
% 194.23/30.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_6 = e0) & ~ (all_57_25 = e0) & op(e3,
% 194.23/30.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1) = all_57_0 & op(e3, all_57_3) =
% 194.23/30.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_2 & op(e3, all_57_5) = all_57_4 &
% 194.23/30.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, all_57_7) = all_57_6 & op(e3, e3) =
% 194.23/30.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e2) = all_57_3 & op(e3, e1)
% 194.23/30.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_5 & op(e3, e0) = all_57_7 & op(e0,
% 194.23/30.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_25 & $i(all_57_0) &
% 194.23/30.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_2) & $i(all_57_3) &
% 194.23/30.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4) & $i(all_57_5) & $i(all_57_6) &
% 194.23/30.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7) & $i(all_57_25)) | (all_57_31 =
% 194.23/30.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_8 = e3) & ~ (all_57_10 = e2)
% 194.23/30.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_12 = e1) & ~ (all_57_14 = e0) &
% 194.23/30.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_27 = e0) & op(e2, all_57_9) =
% 194.23/30.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_8 & op(e2, all_57_11) = all_57_10 &
% 194.23/30.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_13) = all_57_12 & op(e2,
% 194.23/30.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15) = all_57_14 & op(e2, e3) =
% 194.23/30.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_9 & op(e2, e2) = all_57_11 & op(e2, e1)
% 194.23/30.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_13 & op(e2, e0) = all_57_15 & op(e0,
% 194.23/30.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_27 & $i(all_57_8) &
% 194.23/30.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9) & $i(all_57_10) & $i(all_57_11) &
% 194.23/30.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & $i(all_57_13) & $i(all_57_14)
% 194.23/30.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_15) & $i(all_57_27)) | (all_57_31
% 194.23/30.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_16 = e3) & ~ (all_57_18 =
% 194.23/30.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_20 = e1) & ~ (all_57_22 =
% 194.23/30.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_29 = e0) & op(e1,
% 194.23/30.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17) = all_57_16 & op(e1, all_57_19) =
% 194.23/30.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_18 & op(e1, all_57_21) = all_57_20 &
% 194.23/30.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_23) = all_57_22 & op(e1, e3) =
% 194.23/30.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e1, e2) = all_57_19 & op(e1,
% 194.23/30.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_21 & op(e1, e0) = all_57_23 &
% 194.23/30.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = all_57_29 & $i(all_57_16) &
% 194.23/30.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_17) & $i(all_57_18) & $i(all_57_19)
% 194.23/30.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_20) & $i(all_57_21) &
% 194.23/30.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_23) &
% 194.23/30.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29)))
% 194.23/30.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3249) implies:
% 194.23/30.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3250) (all_57_21 = e0 & ~ (all_57_23 = e1) & ~
% 194.23/30.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 194.23/30.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) & op(e1,
% 194.23/30.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0 & op(e1, e0) = all_57_23 & op(e0,
% 194.23/30.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25) = all_57_24 & op(e0, all_57_27) =
% 194.23/30.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e0, all_57_29) = all_57_28 &
% 194.23/30.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_31) = all_57_30 & op(e0, e3) =
% 194.23/30.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_27 & op(e0, e1)
% 194.23/30.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_29 & $i(all_57_23) & $i(all_57_24) &
% 194.23/30.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_25) & $i(all_57_26) & $i(all_57_27) &
% 194.23/30.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28) & $i(all_57_29) & $i(all_57_30)) |
% 194.23/30.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e3 & ~ (all_57_0 = e3) & ~
% 194.23/30.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e2) & ~ (all_57_4 = e1) & ~
% 194.23/30.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_6 = e0) & ~ (all_57_25 = e0) & op(e3,
% 194.23/30.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1) = all_57_0 & op(e3, all_57_3) =
% 194.23/30.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_2 & op(e3, all_57_5) = all_57_4 & op(e3,
% 194.23/30.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7) = all_57_6 & op(e3, e3) = all_57_1 &
% 194.23/30.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_3 & op(e3, e1) = all_57_5 &
% 194.23/30.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_7 & op(e0, e3) = all_57_25 &
% 194.23/30.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_0) & $i(all_57_1) & $i(all_57_2) &
% 194.23/30.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_3) & $i(all_57_4) & $i(all_57_5) &
% 194.23/30.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_6) & $i(all_57_7) & $i(all_57_25)) |
% 194.23/30.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e2 & ~ (all_57_8 = e3) & ~
% 194.23/30.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e2) & ~ (all_57_12 = e1) & ~
% 194.23/30.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e0) & ~ (all_57_27 = e0) & op(e2,
% 194.23/30.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_9) = all_57_8 & op(e2, all_57_11) =
% 194.23/30.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e2, all_57_13) = all_57_12 &
% 194.23/30.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_15) = all_57_14 & op(e2, e3) =
% 194.23/30.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_9 & op(e2, e2) = all_57_11 & op(e2, e1) =
% 194.23/30.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_13 & op(e2, e0) = all_57_15 & op(e0, e2)
% 194.23/30.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_27 & $i(all_57_8) & $i(all_57_9) &
% 194.23/30.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & $i(all_57_11) & $i(all_57_12) &
% 194.23/30.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13) & $i(all_57_14) & $i(all_57_15) &
% 194.23/30.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27)) | (all_57_31 = e1 & ~ (all_57_16
% 194.23/30.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_18 = e2) & ~ (all_57_20 =
% 194.23/30.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_22 = e0) & ~ (all_57_29 =
% 194.23/30.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & op(e1, all_57_17) = all_57_16 & op(e1,
% 194.23/30.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_19) = all_57_18 & op(e1, all_57_21) =
% 194.23/30.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20 & op(e1, all_57_23) = all_57_22 &
% 194.23/30.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_17 & op(e1, e2) = all_57_19
% 194.23/30.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = all_57_21 & op(e1, e0) =
% 194.23/30.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23 & op(e0, e1) = all_57_29 &
% 194.23/30.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_16) & $i(all_57_17) & $i(all_57_18) &
% 194.23/30.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_20) & $i(all_57_21) &
% 194.23/30.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_23) & $i(all_57_29))
% 194.23/30.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3250) gives:
% 194.23/30.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 194.23/30.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3251) (all_57_21 = e0 & ~ (all_57_23 = e1) & ~
% 194.23/30.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 194.23/30.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) & op(e1,
% 194.23/30.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0 & op(e1, e0) = all_57_23 & op(e0,
% 194.23/30.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25) = all_57_24 & op(e0, all_57_27) =
% 194.23/30.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e0, all_57_29) = all_57_28 &
% 194.23/30.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_31) = all_57_30 & op(e0, e3) =
% 194.23/30.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_27 & op(e0, e1)
% 194.23/30.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_29 & $i(all_57_23) & $i(all_57_24) &
% 194.23/30.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_25) & $i(all_57_26) & $i(all_57_27) &
% 194.23/30.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28) & $i(all_57_29) & $i(all_57_30)) |
% 194.23/30.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e3 & ~ (all_57_0 = e3) & ~
% 194.23/30.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e2) & ~ (all_57_4 = e1) & ~
% 194.23/30.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_6 = e0) & ~ (all_57_25 = e0) & op(e3,
% 194.23/30.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1) = all_57_0 & op(e3, all_57_3) =
% 194.23/30.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_2 & op(e3, all_57_5) = all_57_4 & op(e3,
% 194.23/30.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7) = all_57_6 & op(e3, e3) = all_57_1 &
% 194.23/30.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_3 & op(e3, e1) = all_57_5 &
% 194.23/30.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_7 & op(e0, e3) = all_57_25 &
% 194.23/30.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_0) & $i(all_57_1) & $i(all_57_2) &
% 194.23/30.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_3) & $i(all_57_4) & $i(all_57_5) &
% 194.23/30.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_6) & $i(all_57_7) & $i(all_57_25))
% 194.23/30.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (3023), (3217), (3251), (function-axioms) are
% 194.23/30.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1680.
% 194.23/30.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 194.23/30.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3252) (all_57_31 = e2 & ~ (all_57_8 = e3) & ~
% 194.23/30.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e2) & ~ (all_57_12 = e1) & ~
% 194.23/30.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e0) & ~ (all_57_27 = e0) & op(e2,
% 194.23/30.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_9) = all_57_8 & op(e2, all_57_11) =
% 194.23/30.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e2, all_57_13) = all_57_12 &
% 194.23/30.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_15) = all_57_14 & op(e2, e3) =
% 194.23/30.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_9 & op(e2, e2) = all_57_11 & op(e2, e1) =
% 194.23/30.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_13 & op(e2, e0) = all_57_15 & op(e0, e2)
% 194.23/30.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_27 & $i(all_57_8) & $i(all_57_9) &
% 194.23/30.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & $i(all_57_11) & $i(all_57_12) &
% 194.23/30.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13) & $i(all_57_14) & $i(all_57_15) &
% 194.23/30.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27)) | (all_57_31 = e1 & ~ (all_57_16
% 194.23/30.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_18 = e2) & ~ (all_57_20 =
% 194.23/30.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_22 = e0) & ~ (all_57_29 =
% 194.23/30.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & op(e1, all_57_17) = all_57_16 & op(e1,
% 194.23/30.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_19) = all_57_18 & op(e1, all_57_21) =
% 194.23/30.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20 & op(e1, all_57_23) = all_57_22 &
% 194.23/30.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_17 & op(e1, e2) = all_57_19
% 194.23/30.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = all_57_21 & op(e1, e0) =
% 194.23/30.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23 & op(e0, e1) = all_57_29 &
% 194.23/30.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_16) & $i(all_57_17) & $i(all_57_18) &
% 194.23/30.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_20) & $i(all_57_21) &
% 194.23/30.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_23) & $i(all_57_29))
% 194.23/30.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (3136), (3225), (3252), (function-axioms) are
% 194.23/30.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1259.
% 194.23/30.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 194.23/30.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 194.23/30.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 194.23/30.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 194.23/30.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 194.23/30.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 194.23/30.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 194.23/30.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 194.23/30.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 194.23/30.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3253) (all_56_13 = e0 & op(e0, e2) = e0) | (all_56_14 =
% 194.23/30.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0)
% 194.23/30.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (158), (1546), (3215), (3253),
% 194.23/30.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 194.23/30.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1711.
% 194.23/30.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 194.23/30.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 194.23/30.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 194.23/30.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 194.23/30.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 194.23/30.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 194.23/30.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3254) (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_9 = e2
% 194.23/30.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e2)
% 194.23/30.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3254) gives:
% 194.23/30.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 194.23/30.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3255) all_56_4 = e2 & op(e3, e1) = e2
% 194.23/30.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3255) implies:
% 194.23/30.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3256) all_56_4 = e2
% 194.23/30.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (3191), (3256) are inconsistent by sub-proof
% 194.23/30.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1556.
% 194.23/30.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 194.23/30.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3257) all_56_9 = e2 & op(e3, e0) = e2
% 194.23/30.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3257) implies:
% 194.23/30.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3258) all_56_9 = e2
% 194.23/30.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (206), (210), (212),
% 194.23/30.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3169), (3258) are inconsistent by sub-proof
% 194.23/30.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1775.
% 194.23/30.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 194.23/30.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 194.23/30.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 194.23/30.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3259) all_56_9 = e0 & op(e3, e0) = e0
% 194.23/30.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3259) implies:
% 194.23/30.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3260) all_56_9 = e0
% 194.23/30.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3163), (3260) imply:
% 194.23/30.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3261) e3 = e0
% 194.23/30.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3261) implies:
% 194.23/30.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3262) e3 = e0
% 194.23/30.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3187), (3262) imply:
% 194.23/30.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3263) all_56_2 = e0
% 194.23/30.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (7), (8), (9), (222), (224), (1561),
% 194.23/30.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3169), (3263) are inconsistent by sub-proof
% 194.23/30.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1490.
% 194.23/30.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 194.23/30.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 194.23/30.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 194.23/30.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3264) all_56_3 = e3 & op(e2, e2) = e3
% 194.23/30.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3264) implies:
% 194.23/30.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3265) op(e2, e2) = e3
% 194.23/30.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (225), (226), (227),
% 194.23/30.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3160), (3265), (function-axioms) are inconsistent
% 194.23/30.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1660.
% 194.23/30.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 194.23/30.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 194.23/30.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3266) (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 =
% 194.23/30.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e0) = e3)
% 194.23/30.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (165), (3019), (3135), (3266),
% 194.23/30.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 194.23/30.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1658.
% 194.23/30.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 194.23/30.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 194.23/30.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3267) all_54_7 = e1 | all_54_7 = e0
% 194.23/30.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (260), (1548), (3126), (3267) are inconsistent by
% 194.23/30.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1257.
% 194.23/30.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 194.23/30.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 194.23/30.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 194.23/30.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 194.23/30.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 194.23/30.75 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.75 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 194.23/30.75 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3268) all_56_10 = e3 & op(e2, e0) = e3
% 194.23/30.75 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3268) implies:
% 194.23/30.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3269) op(e2, e0) = e3
% 194.23/30.75 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (3135), (3269), (function-axioms) are
% 194.23/30.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1659.
% 194.23/30.75 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.75 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 194.23/30.75 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.75 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 194.23/30.75 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.75 | | | | | | | | | | | | | | | | | | | | | | | | | | (3270) (all_56_11 = e3 & op(e1, e0) = e3) | (all_56_15 =
% 194.23/30.75 | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = e3)
% 194.23/30.75 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.75 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (160), (206), (207),
% 194.23/30.75 | | | | | | | | | | | | | | | | | | | | | | | | | | (208), (3021), (3160), (3270), (function-axioms)
% 194.23/30.75 | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1572.
% 194.23/30.75 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.75 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 194.23/30.75 | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.75 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 194.23/30.75 | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.75 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 194.23/30.75 | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.75 | | | | | | | | | | | | | | | | | | | | | | | | (3271) (all_56_14 = e3 & op(e0, e1) = e3) | (all_56_15 =
% 194.23/30.75 | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = e3)
% 194.23/30.75 | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.75 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (157), (3020), (3097), (3271),
% 194.23/30.75 | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 194.23/30.75 | | | | | | | | | | | | | | | | | | | | | | | | #1568.
% 194.23/30.75 | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.75 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 194.23/30.75 | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.75 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 194.23/30.75 | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.75 | | | | | | | | | | | | | | | | | | | | | | | (3272) ~ (all_54_4 = e3)
% 194.23/30.75 | | | | | | | | | | | | | | | | | | | | | | | (3273) all_54_4 = e2 | all_54_4 = e1 | all_54_4 = e0
% 194.23/30.75 | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.75 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (269), (3272) imply:
% 194.23/30.75 | | | | | | | | | | | | | | | | | | | | | | | (3274) ~ (all_52_1 = e3)
% 194.23/30.75 | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.75 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3273) gives:
% 194.23/30.75 | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.75 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 194.23/30.75 | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.75 | | | | | | | | | | | | | | | | | | | | | | | | (3275) all_54_4 = e2
% 194.23/30.75 | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.75 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (269), (3275) imply:
% 194.23/30.75 | | | | | | | | | | | | | | | | | | | | | | | | (3276) all_52_1 = e2
% 194.23/30.75 | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.75 | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3276) implies:
% 194.23/30.75 | | | | | | | | | | | | | | | | | | | | | | | | (3277) all_52_1 = e2
% 194.23/30.75 | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.75 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (148), (3277) imply:
% 194.23/30.75 | | | | | | | | | | | | | | | | | | | | | | | | (3278) ~ (all_52_3 = e2)
% 194.23/30.75 | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.75 | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3278) implies:
% 194.23/30.75 | | | | | | | | | | | | | | | | | | | | | | | | (3279) ~ (all_52_3 = e2)
% 194.23/30.75 | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.75 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (145), (3277) imply:
% 194.23/30.75 | | | | | | | | | | | | | | | | | | | | | | | | (3280) ~ (all_52_13 = e2)
% 194.23/30.75 | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.75 | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3280) implies:
% 194.23/30.75 | | | | | | | | | | | | | | | | | | | | | | | | (3281) ~ (all_52_13 = e2)
% 194.23/30.75 | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.75 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2932), (3277) imply:
% 194.23/30.75 | | | | | | | | | | | | | | | | | | | | | | | | (3282) ~ (all_28_1 = e2)
% 194.23/30.75 | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.75 | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3282) implies:
% 194.23/30.75 | | | | | | | | | | | | | | | | | | | | | | | | (3283) ~ (all_28_1 = e2)
% 194.23/30.75 | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.75 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3274), (3277) imply:
% 194.23/30.75 | | | | | | | | | | | | | | | | | | | | | | | | (3284) ~ (e3 = e2)
% 194.23/30.75 | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.75 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (215) gives:
% 194.23/30.75 | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.75 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 194.23/30.75 | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | (3285) (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_7 = e2
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e2)
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3285) gives:
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | (3286) all_56_6 = e2 & op(e1, e3) = e2
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3286) implies:
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | (3287) all_56_6 = e2
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (158), (159), (160),
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | (162), (164), (169), (196), (211), (212), (213),
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | (222), (223), (224), (225), (226), (227), (228),
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | (229), (230), (232), (236), (1545), (1546),
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | (1551), (2921), (2931), (2934), (2940), (3018),
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | (3021), (3022), (3023), (3097), (3110), (3115),
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | (3116), (3281), (3283), (3287), (function-axioms)
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1249.
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | (3288) all_56_7 = e2 & op(e1, e2) = e2
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3288) implies:
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | (3289) op(e1, e2) = e2
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (3116), (3289), (function-axioms) are
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1426.
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | (3290) (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_11 =
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e1, e0) = e2)
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3290) gives:
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | (3291) all_56_8 = e2 & op(e1, e1) = e2
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3291) implies:
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | (3292) op(e1, e1) = e2
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (3023), (3292), (function-axioms) are
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1919.
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | (3293) all_56_11 = e2 & op(e1, e0) = e2
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3293) implies:
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | (3294) all_56_11 = e2
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | (3295) op(e1, e0) = e2
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (233) gives:
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3296) (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e2)
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3296) gives:
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3297) all_56_0 = e2 & op(e3, e3) = e2
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3297) implies:
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3298) op(e3, e3) = e2
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (2921), (3298), (function-axioms) are
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1966.
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3299) all_56_2 = e2 & op(e2, e3) = e2
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3299) implies:
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3300) all_56_2 = e2
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3301) op(e2, e3) = e2
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (213) gives:
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3302) (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_7 = e0
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e0)
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3302) gives:
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3303) all_56_6 = e0 & op(e1, e3) = e0
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3303) implies:
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3304) all_56_6 = e0
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (206) gives:
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3305) all_56_15 = e0 & op(e0, e0) = e0
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3305) implies:
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3306) op(e0, e0) = e0
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (3097), (3306), (function-axioms) are
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1708.
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3307) ((all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 =
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_56_11 = e0 &
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e0)) & ((all_56_12 = e0 & op(e0,
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e0) | (all_56_13 = e0 & op(e0, e2) =
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) | (all_56_14 = e0 & op(e0, e1) = e0))
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3307) implies:
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3308) (all_56_12 = e0 & op(e0, e3) = e0) | (all_56_13 =
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0) | (all_56_14 = e0 & op(e0,
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0)
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3309) (all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 =
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_56_11 = e0 & op(e1,
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e0)
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3309) gives:
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3310) all_56_9 = e0 & op(e3, e0) = e0
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3310) implies:
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3311) op(e3, e0) = e0
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (196) gives:
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3312) all_54_8 = e3
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2931), (3022), (3312) are inconsistent by
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1609.
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3313) ~ (all_54_8 = e3)
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3314) all_54_8 = e2 | all_54_8 = e1 | all_54_8 = e0
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (224) gives:
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3315) (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e3)
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (167), (1551), (3274), (3315),
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1391.
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3316) (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 =
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e0) = e3)
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3316) gives:
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3317) all_56_5 = e3 & op(e2, e1) = e3
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3317) implies:
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3318) op(e2, e1) = e3
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (3019), (3318), (function-axioms) are
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1861.
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3319) all_56_10 = e3 & op(e2, e0) = e3
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3319) implies:
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3320) all_56_10 = e3
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3314) gives:
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3321) all_54_8 = e2
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2931), (3283), (3321) are inconsistent by
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1608.
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3322) ~ (all_54_8 = e2)
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3323) all_54_8 = e1 | all_54_8 = e0
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (235) gives:
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3324) (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_2 = e3
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e3)
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (167), (2921), (3274), (3324),
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1248.
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3325) (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_12 =
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e3) = e3)
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3325) gives:
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3326) all_56_6 = e3 & op(e1, e3) = e3
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3326) implies:
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3327) all_56_6 = e3
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (3304), (3327) are inconsistent by sub-proof
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1743.
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3328) all_56_12 = e3 & op(e0, e3) = e3
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3328) implies:
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3329) op(e0, e3) = e3
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3308) gives:
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3330) all_56_12 = e0 & op(e0, e3) = e0
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3330) implies:
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3331) op(e0, e3) = e0
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (3329), (3331), (function-axioms) are
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1877.
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3332) (all_56_13 = e0 & op(e0, e2) = e0) | (all_56_14 =
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0)
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3332) gives:
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3333) all_56_13 = e0 & op(e0, e2) = e0
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3333) implies:
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3334) op(e0, e2) = e0
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (158), (1546), (3334), (function-axioms) are
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1895.
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3335) all_56_14 = e0 & op(e0, e1) = e0
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3335) implies:
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3336) op(e0, e1) = e0
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3323) gives:
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3337) all_54_8 = e1
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2931), (2940), (3337) are inconsistent by
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1607.
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3338) all_54_8 = e0
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2931), (3338) imply:
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3339) all_28_1 = e0
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3339) implies:
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3340) all_28_1 = e0
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3128), (3340) imply:
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3341) ~ (all_40_1 = e0)
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (193) gives:
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3342) all_54_11 = e3
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (3123), (3129), (3342) are inconsistent by
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1610.
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3343) ~ (all_54_11 = e3)
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3344) all_54_11 = e2 | all_54_11 = e1 | all_54_11 = e0
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (238) gives:
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3345) (all_57_3 = e3 & ~ (all_57_1 = e2) & ~ (all_57_8
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_10 = e2) & ~ (all_57_12 =
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_14 = e0) & op(e3, e3) =
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e2) = e3 & op(e2, all_57_9) =
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_8 & op(e2, all_57_11) = all_57_10 &
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_13) = all_57_12 & op(e2,
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15) = all_57_14 & op(e2, e3) = all_57_9
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = all_57_11 & op(e2, e1) =
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_13 & op(e2, e0) = all_57_15 &
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_8) & $i(all_57_9) &
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & $i(all_57_11) & $i(all_57_12) &
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13) & $i(all_57_14) & $i(all_57_15)) |
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_5 = e3 & ~ (all_57_1 = e1) & ~
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_16 = e3) & ~ (all_57_18 = e2) & ~
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_22 = e0) & op(e3,
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_1 & op(e3, e1) = e3 & op(e1,
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17) = all_57_16 & op(e1, all_57_19) =
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_18 & op(e1, all_57_21) = all_57_20 &
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_23) = all_57_22 & op(e1, e3) =
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e1, e2) = all_57_19 & op(e1, e1)
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_21 & op(e1, e0) = all_57_23 &
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_16) & $i(all_57_17) &
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_19) & $i(all_57_20) &
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_22) & $i(all_57_23)) |
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_7 = e3 & ~ (all_57_1 = e0) & ~
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) & op(e3,
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_1 & op(e3, e0) = e3 & op(e0,
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25) = all_57_24 & op(e0, all_57_27) =
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e0, all_57_29) = all_57_28 &
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_31) = all_57_30 & op(e0, e3) =
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_27 & op(e0, e1)
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_29 & op(e0, e0) = all_57_31 &
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_24) & $i(all_57_25) &
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_27) & $i(all_57_28) &
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29) & $i(all_57_30) & $i(all_57_31)) |
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e2 & ~ (all_57_0 = e3) & ~ (all_57_2
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2) & ~ (all_57_4 = e1) & ~ (all_57_6 =
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_11 = e3) & op(e3, all_57_1) =
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_0 & op(e3, all_57_3) = all_57_2 & op(e3,
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_5) = all_57_4 & op(e3, all_57_7) =
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_6 & op(e3, e3) = all_57_1 & op(e3, e2) =
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 & op(e3, e1) = all_57_5 & op(e3, e0) =
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7 & op(e2, e3) = e2 & op(e2, e2) =
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_11 & $i(all_57_0) & $i(all_57_1) &
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_2) & $i(all_57_3) & $i(all_57_4) &
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11))
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (196), (2921), (2931), (3022), (3111), (3283),
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3311), (3329), (3345), (function-axioms) are
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1244.
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3346) (all_57_13 = e2 & ~ (all_57_11 = e1) & ~
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_16 = e3) & ~ (all_57_18 = e2) & ~
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_22 = e0) & op(e2,
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_11 & op(e2, e1) = e2 & op(e1,
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17) = all_57_16 & op(e1, all_57_19) =
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_18 & op(e1, all_57_21) = all_57_20 &
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_23) = all_57_22 & op(e1, e3) =
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e1, e2) = all_57_19 & op(e1, e1)
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_21 & op(e1, e0) = all_57_23 &
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_16) & $i(all_57_17) &
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_19) & $i(all_57_20) &
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_22) & $i(all_57_23)) |
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e2 & ~ (all_57_11 = e0) & ~
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) & op(e2,
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_11 & op(e2, e0) = e2 & op(e0,
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25) = all_57_24 & op(e0, all_57_27) =
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e0, all_57_29) = all_57_28 &
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_31) = all_57_30 & op(e0, e3) =
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_27 & op(e0, e1)
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_29 & op(e0, e0) = all_57_31 &
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_24) & $i(all_57_25) &
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_27) & $i(all_57_28) &
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29) & $i(all_57_30) & $i(all_57_31)) |
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_17 = e1 & ~ (all_57_0 = e3) & ~
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e2) & ~ (all_57_4 = e1) & ~
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_6 = e0) & ~ (all_57_21 = e3) & op(e3,
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1) = all_57_0 & op(e3, all_57_3) =
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_2 & op(e3, all_57_5) = all_57_4 & op(e3,
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7) = all_57_6 & op(e3, e3) = all_57_1 &
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_3 & op(e3, e1) = all_57_5 &
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_7 & op(e1, e3) = e1 & op(e1,
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_21 & $i(all_57_0) & $i(all_57_1)
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_2) & $i(all_57_3) & $i(all_57_4) &
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21)) | (all_57_19 = e1 & ~ (all_57_8
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_10 = e2) & ~ (all_57_12 =
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_14 = e0) & ~ (all_57_21 =
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & op(e2, all_57_9) = all_57_8 & op(e2,
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_11) = all_57_10 & op(e2, all_57_13) =
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & op(e2, all_57_15) = all_57_14 &
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_9 & op(e2, e2) = all_57_11 &
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_57_13 & op(e2, e0) = all_57_15
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e1 & op(e1, e1) = all_57_21 &
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8) & $i(all_57_9) & $i(all_57_10) &
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_12) & $i(all_57_13) &
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & $i(all_57_15) & $i(all_57_21)) |
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (op(e0, e0) = all_57_31 & $i(all_57_31) &
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_23 = e1 & ~ (all_57_21 = e0) & ~
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) &
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_21 & op(e1, e0) = e1 &
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_25) = all_57_24 & op(e0,
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27) = all_57_26 & op(e0, all_57_29)
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_28 & op(e0, all_57_31) = all_57_30
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e3) = all_57_25 & op(e0, e2) =
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27 & op(e0, e1) = all_57_29 &
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_24) &
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_25) & $i(all_57_26) &
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27) & $i(all_57_28) &
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29) & $i(all_57_30)) | (all_57_25
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & ~ (all_57_0 = e3) & ~ (all_57_2 =
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_4 = e1) & ~ (all_57_6 =
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_31 = e3) & op(e3,
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1) = all_57_0 & op(e3, all_57_3) =
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_2 & op(e3, all_57_5) = all_57_4 &
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, all_57_7) = all_57_6 & op(e3, e3) =
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e2) = all_57_3 & op(e3,
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_5 & op(e3, e0) = all_57_7 &
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_0) &
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_2) & $i(all_57_3) &
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4) & $i(all_57_5) & $i(all_57_6) &
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7)) | (all_57_27 = e0 & ~
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e3) & ~ (all_57_10 = e2) & ~
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e1) & ~ (all_57_14 = e0) & ~
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e2) & op(e2, all_57_9) =
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_8 & op(e2, all_57_11) = all_57_10 &
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_13) = all_57_12 & op(e2,
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15) = all_57_14 & op(e2, e3) =
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_9 & op(e2, e2) = all_57_11 & op(e2,
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_13 & op(e2, e0) = all_57_15 &
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_8) &
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9) & $i(all_57_10) & $i(all_57_11)
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_12) & $i(all_57_13) &
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & $i(all_57_15)) | (all_57_29
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & ~ (all_57_16 = e3) & ~ (all_57_18 =
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_20 = e1) & ~ (all_57_22
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_31 = e1) & op(e1,
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17) = all_57_16 & op(e1, all_57_19)
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_18 & op(e1, all_57_21) = all_57_20
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, all_57_23) = all_57_22 & op(e1, e3)
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_17 & op(e1, e2) = all_57_19 &
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_21 & op(e1, e0) =
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23 & op(e0, e1) = e0 & $i(all_57_16)
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_17) & $i(all_57_18) &
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_20) &
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_22) &
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23))))
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3346) gives:
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3347) (all_57_13 = e2 & ~ (all_57_11 = e1) & ~
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_16 = e3) & ~ (all_57_18 = e2) & ~
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_22 = e0) & op(e2,
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_11 & op(e2, e1) = e2 & op(e1,
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17) = all_57_16 & op(e1, all_57_19) =
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_18 & op(e1, all_57_21) = all_57_20 &
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_23) = all_57_22 & op(e1, e3) =
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e1, e2) = all_57_19 & op(e1, e1)
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_21 & op(e1, e0) = all_57_23 &
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_16) & $i(all_57_17) &
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_19) & $i(all_57_20) &
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_22) & $i(all_57_23)) |
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e2 & ~ (all_57_11 = e0) & ~
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) & op(e2,
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_11 & op(e2, e0) = e2 & op(e0,
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25) = all_57_24 & op(e0, all_57_27) =
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e0, all_57_29) = all_57_28 &
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_31) = all_57_30 & op(e0, e3) =
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_27 & op(e0, e1)
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_29 & op(e0, e0) = all_57_31 &
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_24) & $i(all_57_25) &
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_27) & $i(all_57_28) &
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29) & $i(all_57_30) & $i(all_57_31))
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3347) gives:
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3348) all_57_13 = e2 & ~ (all_57_11 = e1) & ~
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_16 = e3) & ~ (all_57_18 = e2) & ~
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_22 = e0) & op(e2,
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_11 & op(e2, e1) = e2 & op(e1,
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17) = all_57_16 & op(e1, all_57_19) =
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_18 & op(e1, all_57_21) = all_57_20 & op(e1,
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23) = all_57_22 & op(e1, e3) = all_57_17
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = all_57_19 & op(e1, e1) = all_57_21
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e0) = all_57_23 & $i(all_57_11) &
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_16) & $i(all_57_17) & $i(all_57_18) &
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_20) & $i(all_57_21) &
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_23)
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3348) implies:
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3349) op(e2, e1) = e2
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3344) gives:
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3350) all_54_11 = e2
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3123), (3350) imply:
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3351) all_40_1 = e2
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3351) implies:
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3352) all_40_1 = e2
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3122), (3352) imply:
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3353) all_46_1 = e2
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3102) gives:
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3354) ~ (all_46_1 = e2)
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3353), (3354) imply:
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3355) $false
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3355) is inconsistent.
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3356) ~ (all_46_0 = e3) & op(e2, e1) = all_46_0 &
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_46_0)
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3356) implies:
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3357) op(e2, e1) = all_46_0
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (239) gives:
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3358) (all_57_1 = e2 & ~ (all_57_3 = e3) & ~ (all_57_8
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_10 = e2) & ~ (all_57_12 =
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_14 = e0) & op(e3, e3) = e2 &
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_3 & op(e2, all_57_9) =
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_8 & op(e2, all_57_11) = all_57_10 &
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_13) = all_57_12 & op(e2,
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15) = all_57_14 & op(e2, e3) = all_57_9
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = all_57_11 & op(e2, e1) =
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_13 & op(e2, e0) = all_57_15 &
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_3) & $i(all_57_8) & $i(all_57_9) &
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & $i(all_57_11) & $i(all_57_12) &
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13) & $i(all_57_14) & $i(all_57_15)) |
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e1 & ~ (all_57_5 = e3) & ~
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_16 = e3) & ~ (all_57_18 = e2) & ~
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_22 = e0) & op(e3,
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e1 & op(e3, e1) = all_57_5 & op(e1,
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17) = all_57_16 & op(e1, all_57_19) =
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_18 & op(e1, all_57_21) = all_57_20 &
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_23) = all_57_22 & op(e1, e3) =
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e1, e2) = all_57_19 & op(e1, e1)
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_21 & op(e1, e0) = all_57_23 &
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_16) & $i(all_57_17) &
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_19) & $i(all_57_20) &
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_22) & $i(all_57_23)) |
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e0 & ~ (all_57_7 = e3) & ~
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) & op(e3,
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e0 & op(e3, e0) = all_57_7 & op(e0,
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25) = all_57_24 & op(e0, all_57_27) =
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e0, all_57_29) = all_57_28 &
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_31) = all_57_30 & op(e0, e3) =
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_27 & op(e0, e1)
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_29 & op(e0, e0) = all_57_31 &
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7) & $i(all_57_24) & $i(all_57_25) &
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_27) & $i(all_57_28) &
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29) & $i(all_57_30) & $i(all_57_31)) |
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e3 & ~ (all_57_0 = e3) & ~
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e2) & ~ (all_57_4 = e1) & ~
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_6 = e0) & ~ (all_57_9 = e2) & op(e3,
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1) = all_57_0 & op(e3, all_57_3) =
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_2 & op(e3, all_57_5) = all_57_4 & op(e3,
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7) = all_57_6 & op(e3, e3) = all_57_1 &
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_3 & op(e3, e1) = all_57_5 &
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_7 & op(e2, e3) = all_57_9 &
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e3 & $i(all_57_0) & $i(all_57_1) &
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_2) & $i(all_57_3) & $i(all_57_4) &
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9))
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3358) gives:
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3359) (all_57_1 = e2 & ~ (all_57_3 = e3) & ~ (all_57_8
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_10 = e2) & ~ (all_57_12 =
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_14 = e0) & op(e3, e3) = e2 &
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_3 & op(e2, all_57_9) =
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_8 & op(e2, all_57_11) = all_57_10 &
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_13) = all_57_12 & op(e2,
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15) = all_57_14 & op(e2, e3) = all_57_9
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = all_57_11 & op(e2, e1) =
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_13 & op(e2, e0) = all_57_15 &
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_3) & $i(all_57_8) & $i(all_57_9) &
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & $i(all_57_11) & $i(all_57_12) &
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13) & $i(all_57_14) & $i(all_57_15)) |
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e1 & ~ (all_57_5 = e3) & ~
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_16 = e3) & ~ (all_57_18 = e2) & ~
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_22 = e0) & op(e3,
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e1 & op(e3, e1) = all_57_5 & op(e1,
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17) = all_57_16 & op(e1, all_57_19) =
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_18 & op(e1, all_57_21) = all_57_20 &
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_23) = all_57_22 & op(e1, e3) =
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e1, e2) = all_57_19 & op(e1, e1)
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_21 & op(e1, e0) = all_57_23 &
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_16) & $i(all_57_17) &
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_19) & $i(all_57_20) &
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_22) & $i(all_57_23))
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3359) gives:
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3360) all_57_1 = e2 & ~ (all_57_3 = e3) & ~ (all_57_8
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_10 = e2) & ~ (all_57_12 =
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_14 = e0) & op(e3, e3) = e2 &
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_3 & op(e2, all_57_9) =
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_8 & op(e2, all_57_11) = all_57_10 & op(e2,
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_13) = all_57_12 & op(e2, all_57_15) =
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_14 & op(e2, e3) = all_57_9 & op(e2, e2) =
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_11 & op(e2, e1) = all_57_13 & op(e2, e0) =
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15 & $i(all_57_3) & $i(all_57_8) &
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9) & $i(all_57_10) & $i(all_57_11) &
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & $i(all_57_13) & $i(all_57_14) &
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15)
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3360) implies:
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3361) op(e3, e3) = e2
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (2921), (3361), (function-axioms) are
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1966.
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3362) all_57_1 = e1 & ~ (all_57_5 = e3) & ~ (all_57_16
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_18 = e2) & ~ (all_57_20 =
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_22 = e0) & op(e3, e3) = e1 &
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_57_5 & op(e1, all_57_17) =
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_16 & op(e1, all_57_19) = all_57_18 & op(e1,
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_21) = all_57_20 & op(e1, all_57_23) =
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_22 & op(e1, e3) = all_57_17 & op(e1, e2) =
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_19 & op(e1, e1) = all_57_21 & op(e1, e0) =
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23 & $i(all_57_5) & $i(all_57_16) &
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_17) & $i(all_57_18) & $i(all_57_19) &
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_20) & $i(all_57_21) & $i(all_57_22) &
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23)
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e1, all_46_0,
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1, e2, simplifying with (3111), (3357) gives:
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3363) all_46_0 = e1
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e2, all_46_0,
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1, e2, simplifying with (3349), (3357) gives:
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3364) all_46_0 = e2
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3363), (3364) imply:
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3365) e2 = e1
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3365) implies:
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3366) e2 = e1
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3300), (3366) imply:
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3367) all_56_2 = e1
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (158), (162), (206),
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (208), (217), (218), (222), (223), (224), (225),
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (226), (227), (228), (229), (230), (233), (234),
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (235), (236), (1545), (1546), (1551), (2921),
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3017), (3023), (3097), (3320), (3367),
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1268.
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3368) (all_57_1 = e0 & ~ (all_57_7 = e3) & ~
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) & op(e3,
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e0 & op(e3, e0) = all_57_7 & op(e0,
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25) = all_57_24 & op(e0, all_57_27) =
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e0, all_57_29) = all_57_28 &
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_31) = all_57_30 & op(e0, e3) =
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_27 & op(e0, e1)
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_29 & op(e0, e0) = all_57_31 &
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7) & $i(all_57_24) & $i(all_57_25) &
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_27) & $i(all_57_28) &
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29) & $i(all_57_30) & $i(all_57_31)) |
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e3 & ~ (all_57_0 = e3) & ~
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e2) & ~ (all_57_4 = e1) & ~
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_6 = e0) & ~ (all_57_9 = e2) & op(e3,
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1) = all_57_0 & op(e3, all_57_3) =
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_2 & op(e3, all_57_5) = all_57_4 & op(e3,
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7) = all_57_6 & op(e3, e3) = all_57_1 &
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_3 & op(e3, e1) = all_57_5 &
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_7 & op(e2, e3) = all_57_9 &
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e3 & $i(all_57_0) & $i(all_57_1) &
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_2) & $i(all_57_3) & $i(all_57_4) &
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9))
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (2921), (3301), (3368), (function-axioms) are
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1243.
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 194.23/30.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3369) (all_57_11 = e1 & ~ (all_57_13 = e2) & ~
% 194.23/30.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_16 = e3) & ~ (all_57_18 = e2) & ~
% 194.23/30.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_22 = e0) & op(e2,
% 194.23/30.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e1 & op(e2, e1) = all_57_13 & op(e1,
% 194.23/30.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17) = all_57_16 & op(e1, all_57_19) =
% 194.23/30.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_18 & op(e1, all_57_21) = all_57_20 &
% 194.23/30.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_23) = all_57_22 & op(e1, e3) =
% 194.23/30.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e1, e2) = all_57_19 & op(e1, e1)
% 194.23/30.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_21 & op(e1, e0) = all_57_23 &
% 194.23/30.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13) & $i(all_57_16) & $i(all_57_17) &
% 194.23/30.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_19) & $i(all_57_20) &
% 194.23/30.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_22) & $i(all_57_23)) |
% 194.23/30.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e0 & ~ (all_57_15 = e2) & ~
% 194.23/30.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 194.23/30.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) & op(e2,
% 194.23/30.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e0 & op(e2, e0) = all_57_15 & op(e0,
% 194.23/30.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25) = all_57_24 & op(e0, all_57_27) =
% 194.23/30.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e0, all_57_29) = all_57_28 &
% 194.23/30.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_31) = all_57_30 & op(e0, e3) =
% 194.23/30.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_27 & op(e0, e1)
% 194.23/30.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_29 & op(e0, e0) = all_57_31 &
% 194.23/30.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & $i(all_57_24) & $i(all_57_25) &
% 194.23/30.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_27) & $i(all_57_28) &
% 194.23/30.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29) & $i(all_57_30) & $i(all_57_31)) |
% 194.23/30.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e3 & ~ (all_57_0 = e3) & ~
% 194.23/30.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e2) & ~ (all_57_4 = e1) & ~
% 194.23/30.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_6 = e0) & ~ (all_57_17 = e1) & op(e3,
% 194.23/30.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1) = all_57_0 & op(e3, all_57_3) =
% 194.23/30.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_2 & op(e3, all_57_5) = all_57_4 & op(e3,
% 194.23/30.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7) = all_57_6 & op(e3, e3) = all_57_1 &
% 194.23/30.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_3 & op(e3, e1) = all_57_5 &
% 194.23/30.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_7 & op(e1, e3) = all_57_17 &
% 194.23/30.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e3 & $i(all_57_0) & $i(all_57_1) &
% 194.23/30.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_2) & $i(all_57_3) & $i(all_57_4) &
% 194.23/30.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 194.23/30.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_17)) | (all_57_21 = e2 & ~ (all_57_8
% 194.23/30.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_10 = e2) & ~ (all_57_12 =
% 194.23/30.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_14 = e0) & ~ (all_57_19 =
% 194.23/30.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & op(e2, all_57_9) = all_57_8 & op(e2,
% 194.23/30.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_11) = all_57_10 & op(e2, all_57_13) =
% 194.23/30.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & op(e2, all_57_15) = all_57_14 &
% 194.23/30.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_9 & op(e2, e2) = all_57_11 &
% 194.23/30.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_57_13 & op(e2, e0) = all_57_15
% 194.23/30.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = all_57_19 & op(e1, e1) = e2 &
% 194.23/30.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8) & $i(all_57_9) & $i(all_57_10) &
% 194.23/30.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_12) & $i(all_57_13) &
% 194.23/30.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & $i(all_57_15) & $i(all_57_19)) |
% 194.23/30.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (op(e0, e0) = all_57_31 & $i(all_57_31) &
% 194.23/30.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_21 = e0 & ~ (all_57_23 = e1) & ~
% 194.23/30.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 194.23/30.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) &
% 194.23/30.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = all_57_23 &
% 194.23/30.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_25) = all_57_24 & op(e0,
% 194.23/30.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27) = all_57_26 & op(e0, all_57_29)
% 194.23/30.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_28 & op(e0, all_57_31) = all_57_30
% 194.23/30.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e3) = all_57_25 & op(e0, e2) =
% 194.23/30.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27 & op(e0, e1) = all_57_29 &
% 194.23/30.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23) & $i(all_57_24) &
% 194.23/30.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_25) & $i(all_57_26) &
% 194.23/30.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27) & $i(all_57_28) &
% 194.23/30.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29) & $i(all_57_30)) | (all_57_31
% 194.23/30.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & ~ (all_57_0 = e3) & ~ (all_57_2 =
% 194.23/30.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_4 = e1) & ~ (all_57_6 =
% 194.23/30.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_25 = e0) & op(e3,
% 194.23/30.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1) = all_57_0 & op(e3, all_57_3) =
% 194.23/30.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_2 & op(e3, all_57_5) = all_57_4 &
% 194.23/30.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, all_57_7) = all_57_6 & op(e3, e3) =
% 194.23/30.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e2) = all_57_3 & op(e3,
% 194.23/30.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_5 & op(e3, e0) = all_57_7 &
% 194.23/30.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_25 & $i(all_57_0) &
% 194.23/30.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_2) & $i(all_57_3) &
% 194.23/30.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4) & $i(all_57_5) & $i(all_57_6) &
% 194.23/30.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7) & $i(all_57_25)) | (all_57_31 =
% 194.23/30.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_8 = e3) & ~ (all_57_10 =
% 194.23/30.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_12 = e1) & ~ (all_57_14
% 194.23/30.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_27 = e0) & op(e2,
% 194.23/30.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_9) = all_57_8 & op(e2, all_57_11) =
% 194.23/30.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e2, all_57_13) = all_57_12 &
% 194.23/30.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_15) = all_57_14 & op(e2, e3) =
% 194.23/30.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_9 & op(e2, e2) = all_57_11 & op(e2,
% 194.23/30.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_13 & op(e2, e0) = all_57_15 &
% 194.23/30.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_27 & $i(all_57_8) &
% 194.23/30.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9) & $i(all_57_10) & $i(all_57_11)
% 194.23/30.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_12) & $i(all_57_13) &
% 194.23/30.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & $i(all_57_15) &
% 194.23/30.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27)) | (all_57_31 = e1 & ~
% 194.23/30.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_16 = e3) & ~ (all_57_18 = e2) & ~
% 194.23/30.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_22 = e0) & ~
% 194.23/30.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_29 = e0) & op(e1, all_57_17) =
% 194.23/30.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_16 & op(e1, all_57_19) = all_57_18 &
% 194.23/30.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_21) = all_57_20 & op(e1,
% 194.23/30.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23) = all_57_22 & op(e1, e3) =
% 194.23/30.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e1, e2) = all_57_19 & op(e1,
% 194.23/30.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_21 & op(e1, e0) = all_57_23 &
% 194.23/30.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = all_57_29 & $i(all_57_16) &
% 194.23/30.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_17) & $i(all_57_18) &
% 194.23/30.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_20) &
% 194.23/30.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_22) &
% 194.23/30.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23) & $i(all_57_29))))
% 194.23/30.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3369) gives:
% 194.23/30.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 194.23/30.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3370) (all_57_11 = e1 & ~ (all_57_13 = e2) & ~
% 194.23/30.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_16 = e3) & ~ (all_57_18 = e2) & ~
% 194.23/30.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_22 = e0) & op(e2,
% 194.23/30.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e1 & op(e2, e1) = all_57_13 & op(e1,
% 194.23/30.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17) = all_57_16 & op(e1, all_57_19) =
% 194.23/30.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_18 & op(e1, all_57_21) = all_57_20 &
% 194.23/30.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_23) = all_57_22 & op(e1, e3) =
% 194.23/30.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e1, e2) = all_57_19 & op(e1, e1)
% 194.23/30.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_21 & op(e1, e0) = all_57_23 &
% 194.23/30.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13) & $i(all_57_16) & $i(all_57_17) &
% 194.23/30.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_19) & $i(all_57_20) &
% 194.23/30.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_22) & $i(all_57_23)) |
% 194.23/30.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e0 & ~ (all_57_15 = e2) & ~
% 194.23/30.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 194.23/30.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) & op(e2,
% 194.23/30.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e0 & op(e2, e0) = all_57_15 & op(e0,
% 194.23/30.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25) = all_57_24 & op(e0, all_57_27) =
% 194.23/30.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e0, all_57_29) = all_57_28 &
% 194.23/30.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_31) = all_57_30 & op(e0, e3) =
% 194.23/30.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_27 & op(e0, e1)
% 194.23/30.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_29 & op(e0, e0) = all_57_31 &
% 194.23/30.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & $i(all_57_24) & $i(all_57_25) &
% 194.23/30.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_27) & $i(all_57_28) &
% 194.23/30.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29) & $i(all_57_30) & $i(all_57_31))
% 194.23/30.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (1551), (3329), (3370), (function-axioms) are
% 194.23/30.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1301.
% 194.23/30.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 194.23/30.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3371) (all_57_21 = e3 & ~ (all_57_0 = e3) & ~
% 194.23/30.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e2) & ~ (all_57_4 = e1) & ~
% 194.23/30.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_6 = e0) & ~ (all_57_17 = e1) & op(e3,
% 194.23/30.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1) = all_57_0 & op(e3, all_57_3) =
% 194.23/30.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_2 & op(e3, all_57_5) = all_57_4 & op(e3,
% 194.23/30.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7) = all_57_6 & op(e3, e3) = all_57_1 &
% 194.23/30.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_3 & op(e3, e1) = all_57_5 &
% 194.23/30.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_7 & op(e1, e3) = all_57_17 &
% 194.23/30.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e3 & $i(all_57_0) & $i(all_57_1) &
% 194.23/30.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_2) & $i(all_57_3) & $i(all_57_4) &
% 194.23/30.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 194.23/30.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_17)) | (all_57_21 = e2 & ~ (all_57_8
% 194.23/30.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_10 = e2) & ~ (all_57_12 =
% 194.23/30.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_14 = e0) & ~ (all_57_19 =
% 194.23/30.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & op(e2, all_57_9) = all_57_8 & op(e2,
% 194.23/30.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_11) = all_57_10 & op(e2, all_57_13) =
% 194.23/30.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & op(e2, all_57_15) = all_57_14 &
% 194.23/30.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_9 & op(e2, e2) = all_57_11 &
% 194.23/30.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_57_13 & op(e2, e0) = all_57_15
% 194.23/30.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = all_57_19 & op(e1, e1) = e2 &
% 194.23/30.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8) & $i(all_57_9) & $i(all_57_10) &
% 194.23/30.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_12) & $i(all_57_13) &
% 194.23/30.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & $i(all_57_15) & $i(all_57_19)) |
% 194.23/30.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (op(e0, e0) = all_57_31 & $i(all_57_31) &
% 194.23/30.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_21 = e0 & ~ (all_57_23 = e1) & ~
% 194.23/30.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 194.23/30.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) &
% 194.23/30.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = all_57_23 &
% 194.23/30.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_25) = all_57_24 & op(e0,
% 194.23/30.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27) = all_57_26 & op(e0, all_57_29)
% 194.23/30.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_28 & op(e0, all_57_31) = all_57_30
% 194.23/30.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e3) = all_57_25 & op(e0, e2) =
% 194.23/30.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27 & op(e0, e1) = all_57_29 &
% 194.23/30.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23) & $i(all_57_24) &
% 194.23/30.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_25) & $i(all_57_26) &
% 194.23/30.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27) & $i(all_57_28) &
% 194.23/30.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29) & $i(all_57_30)) | (all_57_31
% 194.23/30.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & ~ (all_57_0 = e3) & ~ (all_57_2 =
% 194.23/30.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_4 = e1) & ~ (all_57_6 =
% 194.23/30.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_25 = e0) & op(e3,
% 194.23/30.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1) = all_57_0 & op(e3, all_57_3) =
% 194.23/30.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_2 & op(e3, all_57_5) = all_57_4 &
% 194.23/30.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, all_57_7) = all_57_6 & op(e3, e3) =
% 194.23/30.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e2) = all_57_3 & op(e3,
% 194.23/30.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_5 & op(e3, e0) = all_57_7 &
% 194.23/30.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_25 & $i(all_57_0) &
% 194.23/30.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_2) & $i(all_57_3) &
% 194.23/30.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4) & $i(all_57_5) & $i(all_57_6) &
% 194.23/30.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7) & $i(all_57_25)) | (all_57_31 =
% 194.23/30.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_8 = e3) & ~ (all_57_10 =
% 194.23/30.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_12 = e1) & ~ (all_57_14
% 194.23/30.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_27 = e0) & op(e2,
% 194.23/30.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_9) = all_57_8 & op(e2, all_57_11) =
% 194.23/30.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e2, all_57_13) = all_57_12 &
% 194.23/30.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_15) = all_57_14 & op(e2, e3) =
% 194.23/30.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_9 & op(e2, e2) = all_57_11 & op(e2,
% 194.23/30.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_13 & op(e2, e0) = all_57_15 &
% 194.23/30.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_27 & $i(all_57_8) &
% 194.23/30.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9) & $i(all_57_10) & $i(all_57_11)
% 194.23/30.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_12) & $i(all_57_13) &
% 194.23/30.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & $i(all_57_15) &
% 194.23/30.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27)) | (all_57_31 = e1 & ~
% 194.23/30.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_16 = e3) & ~ (all_57_18 = e2) & ~
% 194.23/30.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_22 = e0) & ~
% 194.23/30.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_29 = e0) & op(e1, all_57_17) =
% 194.23/30.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_16 & op(e1, all_57_19) = all_57_18 &
% 194.23/30.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_21) = all_57_20 & op(e1,
% 194.23/30.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23) = all_57_22 & op(e1, e3) =
% 194.23/30.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e1, e2) = all_57_19 & op(e1,
% 194.23/30.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_21 & op(e1, e0) = all_57_23 &
% 194.23/30.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = all_57_29 & $i(all_57_16) &
% 194.23/30.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_17) & $i(all_57_18) &
% 194.23/30.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_20) &
% 194.23/30.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_22) &
% 194.23/30.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23) & $i(all_57_29))))
% 194.23/30.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3371) gives:
% 194.23/30.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 194.23/30.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3372) all_57_21 = e3 & ~ (all_57_0 = e3) & ~ (all_57_2
% 194.23/30.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2) & ~ (all_57_4 = e1) & ~ (all_57_6 = e0)
% 194.23/30.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_17 = e1) & op(e3, all_57_1) =
% 194.23/30.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_0 & op(e3, all_57_3) = all_57_2 & op(e3,
% 194.23/30.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_5) = all_57_4 & op(e3, all_57_7) =
% 194.23/30.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_6 & op(e3, e3) = all_57_1 & op(e3, e2) =
% 194.23/30.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 & op(e3, e1) = all_57_5 & op(e3, e0) =
% 194.23/30.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7 & op(e1, e3) = all_57_17 & op(e1, e1) =
% 194.23/30.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & $i(all_57_0) & $i(all_57_1) & $i(all_57_2) &
% 194.23/30.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_3) & $i(all_57_4) & $i(all_57_5) &
% 194.23/30.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_6) & $i(all_57_7) & $i(all_57_17)
% 194.23/30.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3372) implies:
% 194.23/30.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3373) ~ (all_57_6 = e0)
% 194.23/30.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3374) op(e3, e0) = all_57_7
% 194.23/30.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3375) op(e3, all_57_7) = all_57_6
% 194.23/30.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (3311), (3373), (3374), (3375), (function-axioms)
% 194.23/30.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1632.
% 194.23/30.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 194.23/30.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3376) (all_57_21 = e2 & ~ (all_57_8 = e3) & ~
% 194.23/30.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e2) & ~ (all_57_12 = e1) & ~
% 194.23/30.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e0) & ~ (all_57_19 = e1) & op(e2,
% 194.23/30.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_9) = all_57_8 & op(e2, all_57_11) =
% 194.23/30.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e2, all_57_13) = all_57_12 &
% 194.23/30.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_15) = all_57_14 & op(e2, e3) =
% 194.23/30.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_9 & op(e2, e2) = all_57_11 & op(e2, e1) =
% 194.23/30.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_13 & op(e2, e0) = all_57_15 & op(e1, e2)
% 194.23/30.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_19 & op(e1, e1) = e2 & $i(all_57_8) &
% 194.23/30.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9) & $i(all_57_10) & $i(all_57_11) &
% 194.23/30.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & $i(all_57_13) & $i(all_57_14) &
% 194.23/30.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & $i(all_57_19)) | (op(e0, e0) =
% 194.23/30.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_31 & $i(all_57_31) & ((all_57_21 = e0 &
% 194.23/30.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_23 = e1) & ~ (all_57_24 = e3) &
% 194.23/30.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_26 = e2) & ~ (all_57_28 = e1) &
% 194.23/30.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_30 = e0) & op(e1, e1) = e0 &
% 194.23/30.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_23 & op(e0, all_57_25) =
% 194.23/30.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_24 & op(e0, all_57_27) = all_57_26 &
% 194.23/30.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_29) = all_57_28 & op(e0,
% 194.23/30.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_31) = all_57_30 & op(e0, e3) =
% 194.23/30.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_27 & op(e0,
% 194.23/30.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_29 & $i(all_57_23) &
% 194.23/30.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_24) & $i(all_57_25) &
% 194.23/30.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_27) &
% 194.23/30.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28) & $i(all_57_29) &
% 194.23/30.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_31 = e3 & ~
% 194.23/30.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_0 = e3) & ~ (all_57_2 = e2) & ~
% 194.23/30.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1) & ~ (all_57_6 = e0) & ~
% 194.23/30.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_25 = e0) & op(e3, all_57_1) =
% 194.23/30.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_0 & op(e3, all_57_3) = all_57_2 &
% 194.23/30.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, all_57_5) = all_57_4 & op(e3,
% 194.23/30.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7) = all_57_6 & op(e3, e3) =
% 194.23/30.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e2) = all_57_3 & op(e3,
% 194.23/30.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_5 & op(e3, e0) = all_57_7 &
% 194.23/30.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_25 & $i(all_57_0) &
% 194.23/30.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_2) & $i(all_57_3) &
% 194.23/30.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4) & $i(all_57_5) & $i(all_57_6) &
% 194.23/30.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7) & $i(all_57_25)) | (all_57_31 =
% 194.23/30.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_8 = e3) & ~ (all_57_10 =
% 194.23/30.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_12 = e1) & ~ (all_57_14
% 194.23/30.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_27 = e0) & op(e2,
% 194.23/30.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_9) = all_57_8 & op(e2, all_57_11) =
% 194.23/30.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e2, all_57_13) = all_57_12 &
% 194.23/30.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_15) = all_57_14 & op(e2, e3) =
% 194.23/30.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_9 & op(e2, e2) = all_57_11 & op(e2,
% 194.23/30.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_13 & op(e2, e0) = all_57_15 &
% 194.23/30.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_27 & $i(all_57_8) &
% 194.23/30.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9) & $i(all_57_10) & $i(all_57_11)
% 194.23/30.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_12) & $i(all_57_13) &
% 194.23/30.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & $i(all_57_15) &
% 194.23/30.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27)) | (all_57_31 = e1 & ~
% 194.23/30.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_16 = e3) & ~ (all_57_18 = e2) & ~
% 194.23/30.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_22 = e0) & ~
% 194.23/30.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_29 = e0) & op(e1, all_57_17) =
% 194.23/30.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_16 & op(e1, all_57_19) = all_57_18 &
% 194.23/30.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_21) = all_57_20 & op(e1,
% 194.23/30.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23) = all_57_22 & op(e1, e3) =
% 194.23/30.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e1, e2) = all_57_19 & op(e1,
% 194.23/30.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_21 & op(e1, e0) = all_57_23 &
% 194.23/30.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = all_57_29 & $i(all_57_16) &
% 194.23/30.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_17) & $i(all_57_18) &
% 194.23/30.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_20) &
% 194.23/30.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_22) &
% 194.23/30.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23) & $i(all_57_29))))
% 194.23/30.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (8), (9), (3023), (3097), (3336), (3376),
% 194.23/30.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 194.23/30.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1376.
% 194.23/30.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 194.23/30.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 194.23/30.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 194.23/30.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 194.23/30.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 194.23/30.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3377) all_54_11 = e1 | all_54_11 = e0
% 194.23/30.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (3123), (3130), (3341), (3377) are inconsistent by
% 194.23/30.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1598.
% 194.23/30.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 194.23/30.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 194.23/30.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3378) all_57_15 = e2 & ~ (all_57_11 = e0) & ~
% 194.23/30.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 194.23/30.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) & op(e2,
% 194.23/30.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_11 & op(e2, e0) = e2 & op(e0,
% 194.23/30.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25) = all_57_24 & op(e0, all_57_27) =
% 194.23/30.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e0, all_57_29) = all_57_28 & op(e0,
% 194.23/30.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_31) = all_57_30 & op(e0, e3) = all_57_25
% 194.23/30.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e2) = all_57_27 & op(e0, e1) = all_57_29
% 194.23/30.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = all_57_31 & $i(all_57_11) &
% 194.23/30.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_24) & $i(all_57_25) & $i(all_57_26) &
% 194.23/30.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27) & $i(all_57_28) & $i(all_57_29) &
% 194.23/30.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30) & $i(all_57_31)
% 194.23/30.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3378) implies:
% 194.23/30.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3379) ~ (all_57_11 = e0)
% 194.23/30.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3380) op(e2, e2) = all_57_11
% 194.23/30.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (1551), (3379), (3380), (function-axioms) are
% 194.23/30.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1482.
% 194.23/30.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 194.23/30.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 194.23/30.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3381) (all_57_17 = e1 & ~ (all_57_0 = e3) & ~
% 194.23/30.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e2) & ~ (all_57_4 = e1) & ~
% 194.23/30.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_6 = e0) & ~ (all_57_21 = e3) & op(e3,
% 194.23/30.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1) = all_57_0 & op(e3, all_57_3) =
% 194.23/30.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_2 & op(e3, all_57_5) = all_57_4 & op(e3,
% 194.23/30.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7) = all_57_6 & op(e3, e3) = all_57_1 &
% 194.23/30.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_3 & op(e3, e1) = all_57_5 &
% 194.23/30.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_7 & op(e1, e3) = e1 & op(e1,
% 194.23/30.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_21 & $i(all_57_0) & $i(all_57_1)
% 194.23/30.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_2) & $i(all_57_3) & $i(all_57_4) &
% 194.23/30.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 194.23/30.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21)) | (all_57_19 = e1 & ~ (all_57_8
% 194.23/30.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_10 = e2) & ~ (all_57_12 =
% 194.23/30.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_14 = e0) & ~ (all_57_21 =
% 194.23/30.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & op(e2, all_57_9) = all_57_8 & op(e2,
% 194.23/30.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_11) = all_57_10 & op(e2, all_57_13) =
% 194.23/30.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & op(e2, all_57_15) = all_57_14 &
% 194.23/30.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_9 & op(e2, e2) = all_57_11 &
% 194.23/30.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_57_13 & op(e2, e0) = all_57_15
% 194.23/30.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e1 & op(e1, e1) = all_57_21 &
% 194.23/30.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8) & $i(all_57_9) & $i(all_57_10) &
% 194.23/30.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_12) & $i(all_57_13) &
% 194.23/30.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & $i(all_57_15) & $i(all_57_21)) |
% 194.23/30.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (op(e0, e0) = all_57_31 & $i(all_57_31) &
% 194.23/30.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_23 = e1 & ~ (all_57_21 = e0) & ~
% 194.23/30.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 194.23/30.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) &
% 194.23/30.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_21 & op(e1, e0) = e1 &
% 194.23/30.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_25) = all_57_24 & op(e0,
% 194.23/30.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27) = all_57_26 & op(e0, all_57_29)
% 194.23/30.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_28 & op(e0, all_57_31) = all_57_30
% 194.23/30.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e3) = all_57_25 & op(e0, e2) =
% 194.23/30.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27 & op(e0, e1) = all_57_29 &
% 194.23/30.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_24) &
% 194.23/30.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_25) & $i(all_57_26) &
% 194.23/30.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27) & $i(all_57_28) &
% 194.23/30.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29) & $i(all_57_30)) | (all_57_25
% 194.23/30.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & ~ (all_57_0 = e3) & ~ (all_57_2 =
% 194.23/30.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_4 = e1) & ~ (all_57_6 =
% 194.23/30.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_31 = e3) & op(e3,
% 194.23/30.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1) = all_57_0 & op(e3, all_57_3) =
% 194.23/30.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_2 & op(e3, all_57_5) = all_57_4 &
% 194.23/30.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, all_57_7) = all_57_6 & op(e3, e3) =
% 194.23/30.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e2) = all_57_3 & op(e3,
% 194.23/30.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_5 & op(e3, e0) = all_57_7 &
% 194.23/30.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_0) &
% 194.23/30.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_2) & $i(all_57_3) &
% 194.23/30.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4) & $i(all_57_5) & $i(all_57_6) &
% 194.23/30.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7)) | (all_57_27 = e0 & ~
% 194.23/30.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e3) & ~ (all_57_10 = e2) & ~
% 194.23/30.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e1) & ~ (all_57_14 = e0) & ~
% 194.23/30.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e2) & op(e2, all_57_9) =
% 194.23/30.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_8 & op(e2, all_57_11) = all_57_10 &
% 194.23/30.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_13) = all_57_12 & op(e2,
% 194.23/30.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15) = all_57_14 & op(e2, e3) =
% 194.23/30.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_9 & op(e2, e2) = all_57_11 & op(e2,
% 194.23/30.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_13 & op(e2, e0) = all_57_15 &
% 194.23/30.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_8) &
% 194.23/30.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9) & $i(all_57_10) & $i(all_57_11)
% 194.23/30.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_12) & $i(all_57_13) &
% 194.23/30.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & $i(all_57_15)) | (all_57_29
% 194.23/30.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & ~ (all_57_16 = e3) & ~ (all_57_18 =
% 194.23/30.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_20 = e1) & ~ (all_57_22
% 194.23/30.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_31 = e1) & op(e1,
% 194.23/30.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17) = all_57_16 & op(e1, all_57_19)
% 194.23/30.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_18 & op(e1, all_57_21) = all_57_20
% 194.23/30.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, all_57_23) = all_57_22 & op(e1, e3)
% 194.23/30.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_17 & op(e1, e2) = all_57_19 &
% 194.23/30.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_21 & op(e1, e0) =
% 194.23/30.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23 & op(e0, e1) = e0 & $i(all_57_16)
% 194.23/30.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_17) & $i(all_57_18) &
% 194.23/30.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_20) &
% 194.23/30.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_22) &
% 194.23/30.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23))))
% 194.23/30.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3381) gives:
% 194.23/30.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 194.23/30.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3382) all_57_17 = e1 & ~ (all_57_0 = e3) & ~ (all_57_2
% 194.23/30.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2) & ~ (all_57_4 = e1) & ~ (all_57_6 = e0)
% 194.23/30.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_21 = e3) & op(e3, all_57_1) =
% 194.23/30.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_0 & op(e3, all_57_3) = all_57_2 & op(e3,
% 194.23/30.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_5) = all_57_4 & op(e3, all_57_7) =
% 194.23/30.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_6 & op(e3, e3) = all_57_1 & op(e3, e2) =
% 194.23/30.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 & op(e3, e1) = all_57_5 & op(e3, e0) =
% 194.23/30.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7 & op(e1, e3) = e1 & op(e1, e1) =
% 194.23/30.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_21 & $i(all_57_0) & $i(all_57_1) &
% 194.23/30.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_2) & $i(all_57_3) & $i(all_57_4) &
% 194.23/30.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 194.23/30.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21)
% 194.23/30.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3382) implies:
% 194.23/30.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3383) ~ (all_57_6 = e0)
% 194.23/30.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3384) op(e3, e0) = all_57_7
% 194.23/30.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3385) op(e3, all_57_7) = all_57_6
% 194.23/30.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (3311), (3383), (3384), (3385), (function-axioms)
% 194.23/30.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1632.
% 194.23/30.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 194.23/30.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3386) (all_57_19 = e1 & ~ (all_57_8 = e3) & ~
% 194.23/30.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e2) & ~ (all_57_12 = e1) & ~
% 194.23/30.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e0) & ~ (all_57_21 = e2) & op(e2,
% 194.23/30.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_9) = all_57_8 & op(e2, all_57_11) =
% 194.23/30.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e2, all_57_13) = all_57_12 &
% 194.23/30.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_15) = all_57_14 & op(e2, e3) =
% 194.23/30.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_9 & op(e2, e2) = all_57_11 & op(e2, e1) =
% 194.23/30.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_13 & op(e2, e0) = all_57_15 & op(e1, e2)
% 194.23/30.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & op(e1, e1) = all_57_21 & $i(all_57_8) &
% 194.23/30.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9) & $i(all_57_10) & $i(all_57_11) &
% 194.23/30.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & $i(all_57_13) & $i(all_57_14) &
% 194.23/30.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & $i(all_57_21)) | (op(e0, e0) =
% 194.23/30.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_31 & $i(all_57_31) & ((all_57_23 = e1 &
% 194.23/30.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_21 = e0) & ~ (all_57_24 = e3) &
% 194.23/30.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_26 = e2) & ~ (all_57_28 = e1) &
% 194.23/30.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_30 = e0) & op(e1, e1) = all_57_21
% 194.23/30.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e0) = e1 & op(e0, all_57_25) =
% 194.23/30.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_24 & op(e0, all_57_27) = all_57_26 &
% 194.23/30.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_29) = all_57_28 & op(e0,
% 194.23/30.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_31) = all_57_30 & op(e0, e3) =
% 194.23/30.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_27 & op(e0,
% 194.23/30.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_29 & $i(all_57_21) &
% 194.23/30.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_24) & $i(all_57_25) &
% 194.23/30.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_27) &
% 194.23/30.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28) & $i(all_57_29) &
% 194.23/30.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_25 = e0 & ~
% 194.23/30.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_0 = e3) & ~ (all_57_2 = e2) & ~
% 194.23/30.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1) & ~ (all_57_6 = e0) & ~
% 194.23/30.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e3) & op(e3, all_57_1) =
% 194.23/30.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_0 & op(e3, all_57_3) = all_57_2 &
% 194.23/30.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, all_57_5) = all_57_4 & op(e3,
% 194.23/30.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7) = all_57_6 & op(e3, e3) =
% 194.23/30.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e2) = all_57_3 & op(e3,
% 194.23/30.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_5 & op(e3, e0) = all_57_7 &
% 194.23/30.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_0) &
% 194.23/30.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_2) & $i(all_57_3) &
% 194.23/30.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4) & $i(all_57_5) & $i(all_57_6) &
% 194.23/30.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7)) | (all_57_27 = e0 & ~
% 194.23/30.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e3) & ~ (all_57_10 = e2) & ~
% 194.23/30.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e1) & ~ (all_57_14 = e0) & ~
% 194.23/30.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e2) & op(e2, all_57_9) =
% 194.23/30.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_8 & op(e2, all_57_11) = all_57_10 &
% 194.23/30.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_13) = all_57_12 & op(e2,
% 194.23/30.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15) = all_57_14 & op(e2, e3) =
% 194.23/30.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_9 & op(e2, e2) = all_57_11 & op(e2,
% 194.23/30.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_13 & op(e2, e0) = all_57_15 &
% 194.23/30.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_8) &
% 194.23/30.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9) & $i(all_57_10) & $i(all_57_11)
% 194.23/30.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_12) & $i(all_57_13) &
% 194.23/30.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & $i(all_57_15)) | (all_57_29
% 194.23/30.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & ~ (all_57_16 = e3) & ~ (all_57_18 =
% 194.23/30.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_20 = e1) & ~ (all_57_22
% 194.23/30.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_31 = e1) & op(e1,
% 194.23/30.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17) = all_57_16 & op(e1, all_57_19)
% 194.23/30.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_18 & op(e1, all_57_21) = all_57_20
% 194.23/30.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, all_57_23) = all_57_22 & op(e1, e3)
% 194.23/30.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_17 & op(e1, e2) = all_57_19 &
% 194.23/30.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_21 & op(e1, e0) =
% 194.23/30.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23 & op(e0, e1) = e0 & $i(all_57_16)
% 194.23/30.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_17) & $i(all_57_18) &
% 194.23/30.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_20) &
% 194.23/30.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_22) &
% 194.23/30.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23))))
% 194.23/30.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3386) gives:
% 194.23/30.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 194.23/30.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3387) all_57_19 = e1 & ~ (all_57_8 = e3) & ~
% 194.23/30.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e2) & ~ (all_57_12 = e1) & ~
% 194.23/30.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e0) & ~ (all_57_21 = e2) & op(e2,
% 194.23/30.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_9) = all_57_8 & op(e2, all_57_11) =
% 194.23/30.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e2, all_57_13) = all_57_12 & op(e2,
% 194.23/30.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15) = all_57_14 & op(e2, e3) = all_57_9 &
% 194.23/30.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_11 & op(e2, e1) = all_57_13 &
% 194.23/30.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_15 & op(e1, e2) = e1 & op(e1,
% 194.23/30.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_21 & $i(all_57_8) & $i(all_57_9) &
% 194.23/30.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & $i(all_57_11) & $i(all_57_12) &
% 194.23/30.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13) & $i(all_57_14) & $i(all_57_15) &
% 194.23/30.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21)
% 194.23/30.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3387) implies:
% 194.23/30.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3388) ~ (all_57_12 = e1)
% 194.23/30.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3389) op(e2, e1) = all_57_13
% 194.23/30.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3390) op(e2, all_57_13) = all_57_12
% 194.23/30.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (196), (2931), (3022), (3111), (3283), (3388),
% 194.23/30.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3389), (3390), (function-axioms) are inconsistent
% 194.23/30.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1246.
% 194.23/30.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 194.23/30.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3391) op(e0, e0) = all_57_31 & $i(all_57_31) &
% 194.23/30.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_23 = e1 & ~ (all_57_21 = e0) & ~
% 194.23/30.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 194.23/30.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) &
% 194.23/30.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_21 & op(e1, e0) = e1 &
% 194.23/30.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_25) = all_57_24 & op(e0,
% 194.23/30.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27) = all_57_26 & op(e0, all_57_29) =
% 194.23/30.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_28 & op(e0, all_57_31) = all_57_30 &
% 194.23/30.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_25 & op(e0, e2) =
% 194.23/30.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27 & op(e0, e1) = all_57_29 &
% 194.23/30.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_24) & $i(all_57_25)
% 194.23/30.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_26) & $i(all_57_27) &
% 194.23/30.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28) & $i(all_57_29) & $i(all_57_30))
% 194.23/30.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_25 = e0 & ~ (all_57_0 = e3) & ~
% 194.23/30.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e2) & ~ (all_57_4 = e1) & ~
% 194.23/30.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_6 = e0) & ~ (all_57_31 = e3) & op(e3,
% 194.23/30.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1) = all_57_0 & op(e3, all_57_3) =
% 194.23/30.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_2 & op(e3, all_57_5) = all_57_4 &
% 194.23/30.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, all_57_7) = all_57_6 & op(e3, e3) =
% 194.23/30.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e2) = all_57_3 & op(e3, e1)
% 194.23/30.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_5 & op(e3, e0) = all_57_7 & op(e0,
% 194.23/30.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e0 & $i(all_57_0) & $i(all_57_1) &
% 194.23/30.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_2) & $i(all_57_3) & $i(all_57_4) &
% 194.23/30.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_6) & $i(all_57_7)) |
% 194.23/30.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_27 = e0 & ~ (all_57_8 = e3) & ~
% 194.23/30.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e2) & ~ (all_57_12 = e1) & ~
% 194.23/30.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e0) & ~ (all_57_31 = e2) &
% 194.23/30.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_9) = all_57_8 & op(e2,
% 194.23/30.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_11) = all_57_10 & op(e2, all_57_13) =
% 194.23/30.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & op(e2, all_57_15) = all_57_14 &
% 194.23/30.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_9 & op(e2, e2) = all_57_11
% 194.23/30.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = all_57_13 & op(e2, e0) =
% 194.23/30.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15 & op(e0, e2) = e0 & $i(all_57_8) &
% 194.23/30.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9) & $i(all_57_10) & $i(all_57_11) &
% 194.23/30.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & $i(all_57_13) & $i(all_57_14)
% 194.23/30.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_15)) | (all_57_29 = e0 & ~
% 194.23/30.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_16 = e3) & ~ (all_57_18 = e2) & ~
% 194.23/30.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_22 = e0) & ~
% 194.23/30.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e1) & op(e1, all_57_17) =
% 194.23/30.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_16 & op(e1, all_57_19) = all_57_18 &
% 194.23/30.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_21) = all_57_20 & op(e1,
% 194.23/30.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23) = all_57_22 & op(e1, e3) =
% 194.23/30.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e1, e2) = all_57_19 & op(e1,
% 194.23/30.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_21 & op(e1, e0) = all_57_23 &
% 194.23/30.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_16) &
% 194.23/30.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_17) & $i(all_57_18) & $i(all_57_19)
% 194.23/30.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_20) & $i(all_57_21) &
% 194.23/30.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_23)))
% 194.23/30.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3391) implies:
% 194.23/30.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3392) op(e0, e0) = all_57_31
% 194.23/30.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3393) (all_57_23 = e1 & ~ (all_57_21 = e0) & ~
% 194.23/30.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 194.23/30.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) & op(e1,
% 194.23/30.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_21 & op(e1, e0) = e1 & op(e0,
% 194.23/30.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25) = all_57_24 & op(e0, all_57_27) =
% 194.23/30.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e0, all_57_29) = all_57_28 &
% 194.23/30.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_31) = all_57_30 & op(e0, e3) =
% 194.23/30.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_27 & op(e0, e1)
% 194.23/30.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_29 & $i(all_57_21) & $i(all_57_24) &
% 194.23/30.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_25) & $i(all_57_26) & $i(all_57_27) &
% 194.23/30.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28) & $i(all_57_29) & $i(all_57_30)) |
% 194.23/30.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_25 = e0 & ~ (all_57_0 = e3) & ~
% 194.23/30.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e2) & ~ (all_57_4 = e1) & ~
% 194.23/30.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_6 = e0) & ~ (all_57_31 = e3) & op(e3,
% 194.23/30.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1) = all_57_0 & op(e3, all_57_3) =
% 194.23/30.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_2 & op(e3, all_57_5) = all_57_4 & op(e3,
% 194.23/30.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7) = all_57_6 & op(e3, e3) = all_57_1 &
% 194.23/30.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_3 & op(e3, e1) = all_57_5 &
% 194.23/30.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_7 & op(e0, e3) = e0 &
% 194.23/30.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_0) & $i(all_57_1) & $i(all_57_2) &
% 194.23/30.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_3) & $i(all_57_4) & $i(all_57_5) &
% 194.23/30.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_6) & $i(all_57_7)) | (all_57_27 = e0 &
% 194.23/30.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_8 = e3) & ~ (all_57_10 = e2) & ~
% 194.23/30.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e1) & ~ (all_57_14 = e0) & ~
% 194.23/30.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e2) & op(e2, all_57_9) = all_57_8 &
% 194.23/30.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_11) = all_57_10 & op(e2,
% 194.23/30.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_13) = all_57_12 & op(e2, all_57_15) =
% 194.23/30.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_14 & op(e2, e3) = all_57_9 & op(e2, e2) =
% 194.23/30.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_11 & op(e2, e1) = all_57_13 & op(e2, e0)
% 194.23/30.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_15 & op(e0, e2) = e0 & $i(all_57_8) &
% 194.23/30.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9) & $i(all_57_10) & $i(all_57_11) &
% 194.23/30.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & $i(all_57_13) & $i(all_57_14) &
% 194.23/30.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15)) | (all_57_29 = e0 & ~ (all_57_16
% 194.23/30.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_18 = e2) & ~ (all_57_20 =
% 194.23/30.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_22 = e0) & ~ (all_57_31 =
% 194.23/30.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & op(e1, all_57_17) = all_57_16 & op(e1,
% 194.23/30.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_19) = all_57_18 & op(e1, all_57_21) =
% 194.23/30.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20 & op(e1, all_57_23) = all_57_22 &
% 194.23/30.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_17 & op(e1, e2) = all_57_19
% 194.23/30.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = all_57_21 & op(e1, e0) =
% 194.23/30.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23 & op(e0, e1) = e0 & $i(all_57_16) &
% 194.23/30.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_17) & $i(all_57_18) & $i(all_57_19) &
% 194.23/30.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_20) & $i(all_57_21) & $i(all_57_22) &
% 194.23/30.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23))
% 194.23/30.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3393) gives:
% 194.23/30.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 194.23/30.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3394) (all_57_23 = e1 & ~ (all_57_21 = e0) & ~
% 194.23/30.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 194.23/30.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) & op(e1,
% 194.23/30.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_21 & op(e1, e0) = e1 & op(e0,
% 194.23/30.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25) = all_57_24 & op(e0, all_57_27) =
% 194.23/30.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e0, all_57_29) = all_57_28 &
% 194.23/30.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_31) = all_57_30 & op(e0, e3) =
% 194.23/30.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_27 & op(e0, e1)
% 194.23/30.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_29 & $i(all_57_21) & $i(all_57_24) &
% 194.23/30.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_25) & $i(all_57_26) & $i(all_57_27) &
% 194.23/30.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28) & $i(all_57_29) & $i(all_57_30)) |
% 194.23/30.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_25 = e0 & ~ (all_57_0 = e3) & ~
% 194.23/30.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e2) & ~ (all_57_4 = e1) & ~
% 194.23/30.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_6 = e0) & ~ (all_57_31 = e3) & op(e3,
% 194.23/30.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1) = all_57_0 & op(e3, all_57_3) =
% 194.23/30.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_2 & op(e3, all_57_5) = all_57_4 & op(e3,
% 194.23/30.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7) = all_57_6 & op(e3, e3) = all_57_1 &
% 194.23/30.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_3 & op(e3, e1) = all_57_5 &
% 194.23/30.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_7 & op(e0, e3) = e0 &
% 194.23/30.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_0) & $i(all_57_1) & $i(all_57_2) &
% 194.23/30.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_3) & $i(all_57_4) & $i(all_57_5) &
% 194.23/30.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_6) & $i(all_57_7))
% 194.23/30.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (3295), (3311), (3394), (function-axioms) are
% 194.23/30.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1627.
% 194.23/30.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 194.23/30.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3395) (all_57_27 = e0 & ~ (all_57_8 = e3) & ~
% 194.23/30.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e2) & ~ (all_57_12 = e1) & ~
% 194.23/30.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e0) & ~ (all_57_31 = e2) & op(e2,
% 194.23/30.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_9) = all_57_8 & op(e2, all_57_11) =
% 194.23/30.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e2, all_57_13) = all_57_12 &
% 194.23/30.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_15) = all_57_14 & op(e2, e3) =
% 194.23/30.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_9 & op(e2, e2) = all_57_11 & op(e2, e1) =
% 194.23/30.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_13 & op(e2, e0) = all_57_15 & op(e0, e2)
% 194.23/30.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & $i(all_57_8) & $i(all_57_9) &
% 194.23/30.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & $i(all_57_11) & $i(all_57_12) &
% 194.23/30.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13) & $i(all_57_14) & $i(all_57_15)) |
% 194.23/30.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_29 = e0 & ~ (all_57_16 = e3) & ~
% 194.23/30.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_18 = e2) & ~ (all_57_20 = e1) & ~
% 194.23/30.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_22 = e0) & ~ (all_57_31 = e1) & op(e1,
% 194.23/30.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17) = all_57_16 & op(e1, all_57_19) =
% 194.23/30.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_18 & op(e1, all_57_21) = all_57_20 &
% 194.23/30.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_23) = all_57_22 & op(e1, e3) =
% 194.23/30.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e1, e2) = all_57_19 & op(e1, e1)
% 194.23/30.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_21 & op(e1, e0) = all_57_23 & op(e0,
% 194.23/30.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0 & $i(all_57_16) & $i(all_57_17) &
% 194.23/30.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_19) & $i(all_57_20) &
% 194.23/30.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_22) & $i(all_57_23))
% 194.23/30.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3395) gives:
% 194.23/30.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 194.23/30.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3396) all_57_27 = e0 & ~ (all_57_8 = e3) & ~
% 194.23/30.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e2) & ~ (all_57_12 = e1) & ~
% 194.23/30.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e0) & ~ (all_57_31 = e2) & op(e2,
% 194.23/30.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_9) = all_57_8 & op(e2, all_57_11) =
% 194.23/30.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e2, all_57_13) = all_57_12 & op(e2,
% 194.23/30.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15) = all_57_14 & op(e2, e3) = all_57_9 &
% 194.23/30.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_11 & op(e2, e1) = all_57_13 &
% 194.23/30.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_15 & op(e0, e2) = e0 &
% 194.23/30.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8) & $i(all_57_9) & $i(all_57_10) &
% 194.23/30.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_12) & $i(all_57_13) &
% 194.23/30.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & $i(all_57_15)
% 194.23/30.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3396) implies:
% 194.23/30.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3397) op(e0, e2) = e0
% 194.23/30.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (158), (1546), (3397), (function-axioms) are
% 194.23/30.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1895.
% 194.23/30.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 194.23/30.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3398) all_57_29 = e0 & ~ (all_57_16 = e3) & ~
% 194.23/30.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_18 = e2) & ~ (all_57_20 = e1) & ~
% 194.23/30.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_22 = e0) & ~ (all_57_31 = e1) & op(e1,
% 194.23/30.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17) = all_57_16 & op(e1, all_57_19) =
% 194.23/30.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_18 & op(e1, all_57_21) = all_57_20 & op(e1,
% 194.23/30.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23) = all_57_22 & op(e1, e3) = all_57_17
% 194.23/30.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = all_57_19 & op(e1, e1) = all_57_21
% 194.23/30.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e0) = all_57_23 & op(e0, e1) = e0 &
% 194.23/30.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_16) & $i(all_57_17) & $i(all_57_18) &
% 194.23/30.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_20) & $i(all_57_21) &
% 194.23/30.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_23)
% 194.23/30.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (3097), (3392), (3398), (function-axioms) are
% 194.23/30.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1889.
% 194.23/30.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 194.23/30.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 194.23/30.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 194.23/30.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 194.23/30.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 194.23/30.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 194.23/30.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 194.23/30.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 194.23/30.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 194.23/30.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 194.23/30.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 194.23/30.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 194.23/30.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 194.23/30.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 194.23/30.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 194.23/30.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 194.23/30.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 194.23/30.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3399) (all_56_10 = e0 & op(e2, e0) = e0) | (all_56_11 =
% 194.23/30.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e1, e0) = e0)
% 194.23/30.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3399) gives:
% 194.23/30.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 194.23/30.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3400) all_56_10 = e0 & op(e2, e0) = e0
% 194.23/30.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (1548), (3400), (function-axioms) are
% 194.23/30.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1263.
% 194.23/30.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 194.23/30.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3401) all_56_11 = e0 & op(e1, e0) = e0
% 194.23/30.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3401) implies:
% 194.23/30.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3402) all_56_11 = e0
% 194.23/30.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3294), (3402) imply:
% 194.23/30.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3403) e2 = e0
% 194.23/30.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3300), (3403) imply:
% 194.23/30.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3404) all_56_2 = e0
% 194.23/30.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (158), (162), (222),
% 194.23/30.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (223), (224), (225), (226), (227), (228), (1545),
% 194.23/30.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1546), (1551), (3404), (function-axioms) are
% 194.23/30.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1485.
% 194.23/30.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 194.23/30.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 194.23/30.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 194.23/30.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 194.23/30.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3405) all_56_7 = e0 & op(e1, e2) = e0
% 194.23/30.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3405) implies:
% 194.23/30.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3406) op(e1, e2) = e0
% 194.23/30.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (162), (1545), (3406), (function-axioms) are
% 194.23/30.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1488.
% 194.23/30.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 194.23/30.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 194.23/30.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3407) (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_11 =
% 194.23/30.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e1, e0) = e0)
% 194.23/30.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3407) gives:
% 194.23/30.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 194.23/30.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3408) all_56_8 = e0 & op(e1, e1) = e0
% 194.23/30.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3408) implies:
% 194.23/30.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3409) op(e1, e1) = e0
% 194.23/30.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (3023), (3409), (function-axioms) are
% 194.23/30.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1918.
% 194.23/30.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 194.23/30.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3410) all_56_11 = e0 & op(e1, e0) = e0
% 194.23/30.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3410) implies:
% 194.23/30.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3411) all_56_11 = e0
% 194.23/30.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3294), (3411) imply:
% 194.23/30.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3412) e2 = e0
% 194.23/30.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (158), (162), (222),
% 194.23/30.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (223), (224), (225), (226), (227), (228), (1545),
% 194.23/30.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1546), (1551), (3300), (3412), (function-axioms)
% 194.23/30.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1242.
% 194.23/30.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 194.23/30.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 194.23/30.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 194.23/30.83 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.83 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 194.23/30.83 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3413) (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_12 =
% 194.23/30.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e3) = e2)
% 194.23/30.83 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3413) gives:
% 194.23/30.83 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 194.23/30.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3414) all_56_6 = e2 & op(e1, e3) = e2
% 194.23/30.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3414) implies:
% 194.23/30.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3415) all_56_6 = e2
% 194.23/30.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (7), (162), (213), (1545), (3023), (3294),
% 194.23/30.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3415), (function-axioms) are inconsistent by
% 194.23/30.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1250.
% 194.23/30.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 194.23/30.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3416) all_56_12 = e2 & op(e0, e3) = e2
% 194.23/30.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (159), (3279), (3416), (function-axioms) are
% 194.23/30.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1847.
% 194.23/30.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 194.23/30.83 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.83 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 194.23/30.83 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.83 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 194.23/30.83 | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.83 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 194.23/30.83 | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.83 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 194.23/30.83 | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.83 | | | | | | | | | | | | | | | | | | | | | | | | (3417) all_54_4 = e1 | all_54_4 = e0
% 194.23/30.83 | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.83 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (269), (1543), (2916), (3417) are inconsistent by
% 194.23/30.83 | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1279.
% 194.23/30.83 | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.83 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 194.23/30.83 | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.83 | | | | | | | | | | | | | | | | | | | | | | End of split
% 194.23/30.83 | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.83 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 194.23/30.83 | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.83 | | | | | | | | | | | | | | | | | | | | | | (3418) all_56_13 = e1 & op(e0, e2) = e1
% 194.23/30.83 | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.83 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (157), (206), (208),
% 194.23/30.83 | | | | | | | | | | | | | | | | | | | | | | (209), (3020), (3097), (3418), (function-axioms)
% 194.23/30.83 | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1567.
% 194.23/30.83 | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.83 | | | | | | | | | | | | | | | | | | | | | End of split
% 194.23/30.83 | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.83 | | | | | | | | | | | | | | | | | | | | End of split
% 194.23/30.83 | | | | | | | | | | | | | | | | | | | |
% 194.23/30.83 | | | | | | | | | | | | | | | | | | | Case 2:
% 194.23/30.83 | | | | | | | | | | | | | | | | | | | |
% 194.23/30.83 | | | | | | | | | | | | | | | | | | | | (3419) all_56_10 = e1 & op(e2, e0) = e1
% 194.23/30.83 | | | | | | | | | | | | | | | | | | | |
% 194.23/30.83 | | | | | | | | | | | | | | | | | | | | ALPHA: (3419) implies:
% 194.23/30.83 | | | | | | | | | | | | | | | | | | | | (3420) all_56_10 = e1
% 194.23/30.83 | | | | | | | | | | | | | | | | | | | |
% 194.23/30.83 | | | | | | | | | | | | | | | | | | | | BETA: splitting (224) gives:
% 194.23/30.83 | | | | | | | | | | | | | | | | | | | |
% 194.23/30.83 | | | | | | | | | | | | | | | | | | | | Case 1:
% 194.23/30.83 | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.83 | | | | | | | | | | | | | | | | | | | | | (3421) (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3
% 194.23/30.83 | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e3)
% 194.23/30.83 | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.83 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3421) gives:
% 194.23/30.83 | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.83 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 194.23/30.83 | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.84 | | | | | | | | | | | | | | | | | | | | | | (3422) all_56_2 = e3 & op(e2, e3) = e3
% 194.23/30.84 | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.84 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3422) implies:
% 194.23/30.84 | | | | | | | | | | | | | | | | | | | | | | (3423) all_56_2 = e3
% 194.23/30.84 | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.84 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (212) gives:
% 194.23/30.84 | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.84 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 194.23/30.84 | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.84 | | | | | | | | | | | | | | | | | | | | | | | (3424) (all_56_9 = e3 & op(e3, e0) = e3) | (all_56_10 =
% 194.23/30.84 | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e0) = e3)
% 194.23/30.84 | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.84 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3424) gives:
% 194.23/30.84 | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.84 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 194.23/30.84 | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.84 | | | | | | | | | | | | | | | | | | | | | | | | (3425) all_56_9 = e3 & op(e3, e0) = e3
% 194.23/30.84 | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.84 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3425) implies:
% 194.23/30.84 | | | | | | | | | | | | | | | | | | | | | | | | (3426) all_56_9 = e3
% 194.23/30.84 | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.84 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (45), (206), (211),
% 194.23/30.84 | | | | | | | | | | | | | | | | | | | | | | | | (212), (376), (3097), (3420), (3426),
% 194.23/30.84 | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 194.23/30.84 | | | | | | | | | | | | | | | | | | | | | | | | #1559.
% 194.23/30.84 | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.84 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 194.23/30.84 | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.84 | | | | | | | | | | | | | | | | | | | | | | | | (3427) all_56_10 = e3 & op(e2, e0) = e3
% 194.23/30.84 | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.84 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3427) implies:
% 194.23/30.84 | | | | | | | | | | | | | | | | | | | | | | | | (3428) all_56_10 = e3
% 194.23/30.84 | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.84 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3420), (3428) imply:
% 194.23/30.84 | | | | | | | | | | | | | | | | | | | | | | | | (3429) e3 = e1
% 194.23/30.84 | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.84 | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3429) implies:
% 194.23/30.84 | | | | | | | | | | | | | | | | | | | | | | | | (3430) e3 = e1
% 194.23/30.84 | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.84 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3423), (3430) imply:
% 194.23/30.84 | | | | | | | | | | | | | | | | | | | | | | | | (3431) all_56_2 = e1
% 194.23/30.84 | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.84 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (158), (162), (206),
% 194.23/30.84 | | | | | | | | | | | | | | | | | | | | | | | | (208), (217), (218), (222), (223), (224), (225),
% 194.23/30.84 | | | | | | | | | | | | | | | | | | | | | | | | (226), (227), (228), (229), (230), (233), (234),
% 194.23/30.84 | | | | | | | | | | | | | | | | | | | | | | | | (235), (236), (1545), (1546), (1551), (2921),
% 194.23/30.84 | | | | | | | | | | | | | | | | | | | | | | | | (3017), (3023), (3097), (3428), (3431),
% 194.23/30.84 | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 194.23/30.84 | | | | | | | | | | | | | | | | | | | | | | | | #1268.
% 194.23/30.84 | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.84 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 194.23/30.84 | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.84 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 194.23/30.84 | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.84 | | | | | | | | | | | | | | | | | | | | | | | (3432) (all_56_11 = e3 & op(e1, e0) = e3) | (all_56_15 =
% 194.23/30.84 | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = e3)
% 194.23/30.84 | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.84 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (160), (3021), (3097), (3432),
% 194.23/30.84 | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 194.23/30.84 | | | | | | | | | | | | | | | | | | | | | | | #1558.
% 194.23/30.84 | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.84 | | | | | | | | | | | | | | | | | | | | | | End of split
% 194.23/30.84 | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.84 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 194.23/30.84 | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.84 | | | | | | | | | | | | | | | | | | | | | | (3433) all_56_3 = e3 & op(e2, e2) = e3
% 194.23/30.84 | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.84 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3433) implies:
% 194.23/30.84 | | | | | | | | | | | | | | | | | | | | | | (3434) op(e2, e2) = e3
% 194.23/30.84 | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.84 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (1551), (3434), (function-axioms) are
% 194.23/30.84 | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1661.
% 194.23/30.84 | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.84 | | | | | | | | | | | | | | | | | | | | | End of split
% 194.23/30.84 | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.84 | | | | | | | | | | | | | | | | | | | | Case 2:
% 194.23/30.84 | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.84 | | | | | | | | | | | | | | | | | | | | | (3435) (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 =
% 194.23/30.84 | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e0) = e3)
% 194.23/30.84 | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.84 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3435) gives:
% 194.23/30.84 | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.84 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 194.23/30.84 | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.84 | | | | | | | | | | | | | | | | | | | | | | (3436) all_56_5 = e3 & op(e2, e1) = e3
% 194.23/30.84 | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.84 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3436) implies:
% 194.23/30.84 | | | | | | | | | | | | | | | | | | | | | | (3437) op(e2, e1) = e3
% 194.23/30.84 | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.84 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (3019), (3437), (function-axioms) are
% 194.23/30.84 | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1861.
% 194.23/30.84 | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.84 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 194.23/30.84 | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.84 | | | | | | | | | | | | | | | | | | | | | | (3438) all_56_10 = e3 & op(e2, e0) = e3
% 194.23/30.84 | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.84 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3438) implies:
% 194.23/30.84 | | | | | | | | | | | | | | | | | | | | | | (3439) all_56_10 = e3
% 194.23/30.84 | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.84 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (3420), (3439) are inconsistent by sub-proof
% 194.23/30.84 | | | | | | | | | | | | | | | | | | | | | | #1818.
% 194.23/30.84 | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.84 | | | | | | | | | | | | | | | | | | | | | End of split
% 194.23/30.84 | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.84 | | | | | | | | | | | | | | | | | | | | End of split
% 194.23/30.84 | | | | | | | | | | | | | | | | | | | |
% 194.23/30.84 | | | | | | | | | | | | | | | | | | | End of split
% 194.23/30.84 | | | | | | | | | | | | | | | | | | |
% 194.23/30.84 | | | | | | | | | | | | | | | | | | End of split
% 194.23/30.84 | | | | | | | | | | | | | | | | | |
% 194.23/30.84 | | | | | | | | | | | | | | | | | End of split
% 194.23/30.84 | | | | | | | | | | | | | | | | |
% 194.23/30.84 | | | | | | | | | | | | | | | | End of split
% 194.23/30.84 | | | | | | | | | | | | | | | |
% 194.23/30.84 | | | | | | | | | | | | | | | End of split
% 194.23/30.84 | | | | | | | | | | | | | | |
% 194.23/30.84 | | | | | | | | | | | | | | End of split
% 194.23/30.84 | | | | | | | | | | | | | |
% 194.23/30.84 | | | | | | | | | | | | | Case 2:
% 194.23/30.84 | | | | | | | | | | | | | |
% 194.23/30.84 | | | | | | | | | | | | | | (3440) all_30_2 = e2
% 194.23/30.84 | | | | | | | | | | | | | | (3441) op(e2, e0) = all_30_1 & $i(all_30_1) & ( ~
% 194.23/30.84 | | | | | | | | | | | | | | (all_30_1 = e3) | ( ~ (all_30_0 = e1) & op(e3,
% 194.23/30.84 | | | | | | | | | | | | | | e2) = all_30_0 & $i(all_30_0)))
% 194.23/30.84 | | | | | | | | | | | | | |
% 194.23/30.84 | | | | | | | | | | | | | | ALPHA: (3441) implies:
% 194.23/30.84 | | | | | | | | | | | | | | (3442) op(e2, e0) = all_30_1
% 194.23/30.84 | | | | | | | | | | | | | |
% 194.23/30.84 | | | | | | | | | | | | | | COMBINE_EQS: (309), (3440) imply:
% 194.23/30.84 | | | | | | | | | | | | | | (3443) all_10_2 = e2
% 194.23/30.84 | | | | | | | | | | | | | |
% 194.23/30.84 | | | | | | | | | | | | | | SIMP: (3443) implies:
% 194.23/30.84 | | | | | | | | | | | | | | (3444) all_10_2 = e2
% 194.23/30.84 | | | | | | | | | | | | | |
% 194.23/30.84 | | | | | | | | | | | | | | COMBINE_EQS: (303), (3444) imply:
% 194.23/30.84 | | | | | | | | | | | | | | (3445) all_42_2 = e2
% 194.23/30.84 | | | | | | | | | | | | | |
% 194.23/30.84 | | | | | | | | | | | | | | REDUCE: (350), (3444) imply:
% 194.23/30.84 | | | | | | | | | | | | | | (3446) ~ (all_52_3 = e2)
% 194.23/30.84 | | | | | | | | | | | | | |
% 194.23/30.84 | | | | | | | | | | | | | | REDUCE: (368), (3444) imply:
% 194.23/30.84 | | | | | | | | | | | | | | (3447) ~ (all_52_11 = e2)
% 194.23/30.84 | | | | | | | | | | | | | |
% 194.23/30.84 | | | | | | | | | | | | | | REDUCE: (369), (3444) imply:
% 194.23/30.84 | | | | | | | | | | | | | | (3448) ~ (all_52_12 = e2)
% 194.23/30.84 | | | | | | | | | | | | | |
% 194.23/30.84 | | | | | | | | | | | | | | REDUCE: (370), (3444) imply:
% 194.23/30.84 | | | | | | | | | | | | | | (3449) ~ (all_52_13 = e2)
% 194.23/30.84 | | | | | | | | | | | | | |
% 194.23/30.84 | | | | | | | | | | | | | | REDUCE: (371), (3444) imply:
% 194.23/30.84 | | | | | | | | | | | | | | (3450) ~ (all_52_14 = e2)
% 194.23/30.84 | | | | | | | | | | | | | |
% 194.23/30.84 | | | | | | | | | | | | | | REDUCE: (1572), (3444) imply:
% 194.23/30.84 | | | | | | | | | | | | | | (3451) ~ (all_20_1 = e2)
% 194.23/30.84 | | | | | | | | | | | | | |
% 194.23/30.84 | | | | | | | | | | | | | | REDUCE: (376), (3444) imply:
% 194.23/30.84 | | | | | | | | | | | | | | (3452) ~ (e3 = e2)
% 194.23/30.84 | | | | | | | | | | | | | |
% 194.23/30.84 | | | | | | | | | | | | | | REDUCE: (45), (3444) imply:
% 194.23/30.84 | | | | | | | | | | | | | | (3453) op(e0, e0) = e2
% 194.23/30.84 | | | | | | | | | | | | | |
% 194.23/30.84 | | | | | | | | | | | | | | BETA: splitting (94) gives:
% 194.23/30.84 | | | | | | | | | | | | | |
% 194.23/30.84 | | | | | | | | | | | | | | Case 1:
% 194.23/30.84 | | | | | | | | | | | | | | |
% 194.23/30.84 | | | | | | | | | | | | | | | (3454) ~ (all_42_2 = e2)
% 194.23/30.84 | | | | | | | | | | | | | | |
% 194.23/30.84 | | | | | | | | | | | | | | | REDUCE: (3445), (3454) imply:
% 194.23/30.84 | | | | | | | | | | | | | | | (3455) $false
% 194.23/30.84 | | | | | | | | | | | | | | |
% 194.23/30.84 | | | | | | | | | | | | | | | CLOSE: (3455) is inconsistent.
% 194.23/30.84 | | | | | | | | | | | | | | |
% 194.23/30.84 | | | | | | | | | | | | | | Case 2:
% 194.23/30.84 | | | | | | | | | | | | | | |
% 194.23/30.84 | | | | | | | | | | | | | | | (3456) op(e2, e0) = all_42_1 & $i(all_42_1) & ( ~
% 194.23/30.84 | | | | | | | | | | | | | | | (all_42_1 = e1) | ( ~ (all_42_0 = e3) & op(e1,
% 194.23/30.84 | | | | | | | | | | | | | | | e2) = all_42_0 & $i(all_42_0)))
% 194.23/30.84 | | | | | | | | | | | | | | |
% 194.23/30.84 | | | | | | | | | | | | | | | ALPHA: (3456) implies:
% 194.23/30.84 | | | | | | | | | | | | | | | (3457) op(e2, e0) = all_42_1
% 194.23/30.84 | | | | | | | | | | | | | | | (3458) ~ (all_42_1 = e1) | ( ~ (all_42_0 = e3) & op(e1,
% 194.23/30.84 | | | | | | | | | | | | | | | e2) = all_42_0 & $i(all_42_0))
% 194.23/30.84 | | | | | | | | | | | | | | |
% 194.23/30.84 | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_13,
% 194.23/30.84 | | | | | | | | | | | | | | | all_30_1, e0, e2, simplifying with (164), (3442)
% 194.23/30.84 | | | | | | | | | | | | | | | gives:
% 194.23/30.84 | | | | | | | | | | | | | | | (3459) all_52_13 = all_30_1
% 194.23/30.84 | | | | | | | | | | | | | | |
% 194.23/30.84 | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_13,
% 194.23/30.84 | | | | | | | | | | | | | | | all_42_1, e0, e2, simplifying with (164), (3457)
% 194.23/30.84 | | | | | | | | | | | | | | | gives:
% 194.23/30.84 | | | | | | | | | | | | | | | (3460) all_52_13 = all_42_1
% 194.23/30.84 | | | | | | | | | | | | | | |
% 194.23/30.84 | | | | | | | | | | | | | | | COMBINE_EQS: (3459), (3460) imply:
% 194.23/30.84 | | | | | | | | | | | | | | | (3461) all_42_1 = all_30_1
% 194.23/30.84 | | | | | | | | | | | | | | |
% 194.23/30.84 | | | | | | | | | | | | | | | SIMP: (3461) implies:
% 194.23/30.84 | | | | | | | | | | | | | | | (3462) all_42_1 = all_30_1
% 194.23/30.84 | | | | | | | | | | | | | | |
% 194.23/30.84 | | | | | | | | | | | | | | | COMBINE_EQS: (260), (3459) imply:
% 194.23/30.84 | | | | | | | | | | | | | | | (3463) all_54_7 = all_30_1
% 194.23/30.84 | | | | | | | | | | | | | | |
% 194.23/30.84 | | | | | | | | | | | | | | | REDUCE: (145), (3459) imply:
% 194.23/30.84 | | | | | | | | | | | | | | | (3464) ~ (all_52_1 = all_30_1)
% 194.23/30.84 | | | | | | | | | | | | | | |
% 194.23/30.84 | | | | | | | | | | | | | | | REDUCE: (117), (3459) imply:
% 194.23/30.84 | | | | | | | | | | | | | | | (3465) ~ (all_52_9 = all_30_1)
% 194.23/30.84 | | | | | | | | | | | | | | |
% 194.23/30.84 | | | | | | | | | | | | | | | REDUCE: (113), (3459) imply:
% 194.23/30.84 | | | | | | | | | | | | | | | (3466) ~ (all_52_12 = all_30_1)
% 194.23/30.84 | | | | | | | | | | | | | | |
% 194.23/30.84 | | | | | | | | | | | | | | | REDUCE: (110), (3459) imply:
% 194.23/30.84 | | | | | | | | | | | | | | | (3467) ~ (all_52_14 = all_30_1)
% 194.23/30.84 | | | | | | | | | | | | | | |
% 194.23/30.84 | | | | | | | | | | | | | | | SIMP: (3467) implies:
% 194.23/30.84 | | | | | | | | | | | | | | | (3468) ~ (all_52_14 = all_30_1)
% 194.23/30.84 | | | | | | | | | | | | | | |
% 194.23/30.84 | | | | | | | | | | | | | | | REDUCE: (3449), (3459) imply:
% 194.23/30.84 | | | | | | | | | | | | | | | (3469) ~ (all_30_1 = e2)
% 194.23/30.84 | | | | | | | | | | | | | | |
% 194.23/30.84 | | | | | | | | | | | | | | | REDUCE: (1548), (3459) imply:
% 194.23/30.84 | | | | | | | | | | | | | | | (3470) ~ (all_30_1 = e0)
% 194.23/30.84 | | | | | | | | | | | | | | |
% 194.23/30.84 | | | | | | | | | | | | | | | BETA: splitting (79) gives:
% 194.23/30.84 | | | | | | | | | | | | | | |
% 194.23/30.84 | | | | | | | | | | | | | | | Case 1:
% 194.23/30.84 | | | | | | | | | | | | | | | |
% 194.23/30.84 | | | | | | | | | | | | | | | | (3471) ~ (all_32_2 = e3)
% 194.23/30.84 | | | | | | | | | | | | | | | |
% 194.23/30.84 | | | | | | | | | | | | | | | | REDUCE: (301), (3471) imply:
% 194.23/30.84 | | | | | | | | | | | | | | | | (3472) ~ (all_4_2 = e3)
% 194.23/30.84 | | | | | | | | | | | | | | | |
% 194.23/30.84 | | | | | | | | | | | | | | | | BETA: splitting (194) gives:
% 194.23/30.84 | | | | | | | | | | | | | | | |
% 194.23/30.84 | | | | | | | | | | | | | | | | Case 1:
% 194.23/30.84 | | | | | | | | | | | | | | | | |
% 194.23/30.84 | | | | | | | | | | | | | | | | | (3473) all_54_10 = e3
% 194.23/30.84 | | | | | | | | | | | | | | | | |
% 194.23/30.84 | | | | | | | | | | | | | | | | | REF_CLOSE: (335), (3472), (3473) are inconsistent by
% 194.23/30.84 | | | | | | | | | | | | | | | | | sub-proof #1974.
% 194.23/30.84 | | | | | | | | | | | | | | | | |
% 194.23/30.84 | | | | | | | | | | | | | | | | Case 2:
% 194.23/30.84 | | | | | | | | | | | | | | | | |
% 194.23/30.84 | | | | | | | | | | | | | | | | | (3474) ~ (all_54_10 = e3)
% 194.23/30.84 | | | | | | | | | | | | | | | | | (3475) all_54_10 = e2 | all_54_10 = e1 | all_54_10 = e0
% 194.23/30.84 | | | | | | | | | | | | | | | | |
% 194.23/30.84 | | | | | | | | | | | | | | | | | BETA: splitting (3475) gives:
% 194.23/30.84 | | | | | | | | | | | | | | | | |
% 194.23/30.84 | | | | | | | | | | | | | | | | | Case 1:
% 194.23/30.84 | | | | | | | | | | | | | | | | | |
% 194.23/30.84 | | | | | | | | | | | | | | | | | | (3476) all_54_10 = e2
% 194.23/30.84 | | | | | | | | | | | | | | | | | |
% 194.23/30.84 | | | | | | | | | | | | | | | | | | REF_CLOSE: (335), (375), (3476) are inconsistent by sub-proof
% 194.23/30.84 | | | | | | | | | | | | | | | | | | #1973.
% 194.23/30.84 | | | | | | | | | | | | | | | | | |
% 194.23/30.84 | | | | | | | | | | | | | | | | | Case 2:
% 194.23/30.84 | | | | | | | | | | | | | | | | | |
% 194.23/30.84 | | | | | | | | | | | | | | | | | | (3477) ~ (all_54_10 = e2)
% 194.23/30.84 | | | | | | | | | | | | | | | | | | (3478) all_54_10 = e1 | all_54_10 = e0
% 194.23/30.84 | | | | | | | | | | | | | | | | | |
% 194.23/30.84 | | | | | | | | | | | | | | | | | | BETA: splitting (3478) gives:
% 194.23/30.84 | | | | | | | | | | | | | | | | | |
% 194.23/30.84 | | | | | | | | | | | | | | | | | | Case 1:
% 194.23/30.84 | | | | | | | | | | | | | | | | | | |
% 194.23/30.84 | | | | | | | | | | | | | | | | | | | (3479) all_54_10 = e1
% 194.23/30.84 | | | | | | | | | | | | | | | | | | |
% 194.23/30.84 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (335), (3479) imply:
% 194.23/30.84 | | | | | | | | | | | | | | | | | | | (3480) all_4_2 = e1
% 194.23/30.84 | | | | | | | | | | | | | | | | | | |
% 194.23/30.84 | | | | | | | | | | | | | | | | | | | SIMP: (3480) implies:
% 194.23/30.84 | | | | | | | | | | | | | | | | | | | (3481) all_4_2 = e1
% 194.23/30.84 | | | | | | | | | | | | | | | | | | |
% 194.23/30.84 | | | | | | | | | | | | | | | | | | | REDUCE: (360), (3481) imply:
% 194.23/30.84 | | | | | | | | | | | | | | | | | | | (3482) ~ (all_52_6 = e1)
% 194.23/30.84 | | | | | | | | | | | | | | | | | | |
% 194.23/30.84 | | | | | | | | | | | | | | | | | | | REDUCE: (363), (3481) imply:
% 194.23/30.84 | | | | | | | | | | | | | | | | | | | (3483) ~ (all_52_9 = e1)
% 194.23/30.84 | | | | | | | | | | | | | | | | | | |
% 194.23/30.84 | | | | | | | | | | | | | | | | | | | REDUCE: (367), (3481) imply:
% 194.23/30.84 | | | | | | | | | | | | | | | | | | | (3484) ~ (all_52_14 = e1)
% 194.23/30.84 | | | | | | | | | | | | | | | | | | |
% 194.23/30.84 | | | | | | | | | | | | | | | | | | | REDUCE: (3472), (3481) imply:
% 194.23/30.84 | | | | | | | | | | | | | | | | | | | (3485) ~ (e3 = e1)
% 194.23/30.84 | | | | | | | | | | | | | | | | | | |
% 194.23/30.84 | | | | | | | | | | | | | | | | | | | REDUCE: (36), (3481) imply:
% 194.23/30.84 | | | | | | | | | | | | | | | | | | | (3486) op(e1, e1) = e1
% 194.23/30.84 | | | | | | | | | | | | | | | | | | |
% 194.23/30.84 | | | | | | | | | | | | | | | | | | | BETA: splitting (222) gives:
% 194.23/30.84 | | | | | | | | | | | | | | | | | | |
% 194.23/30.84 | | | | | | | | | | | | | | | | | | | Case 1:
% 194.23/30.84 | | | | | | | | | | | | | | | | | | | |
% 194.23/30.84 | | | | | | | | | | | | | | | | | | | | (3487) (all_56_2 = e1 & op(e2, e3) = e1) | (all_56_3 = e1
% 194.23/30.84 | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1)
% 194.23/30.84 | | | | | | | | | | | | | | | | | | | |
% 194.23/30.84 | | | | | | | | | | | | | | | | | | | | BETA: splitting (3487) gives:
% 194.23/30.84 | | | | | | | | | | | | | | | | | | | |
% 194.23/30.84 | | | | | | | | | | | | | | | | | | | | Case 1:
% 194.23/30.84 | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.84 | | | | | | | | | | | | | | | | | | | | | (3488) all_56_2 = e1 & op(e2, e3) = e1
% 194.23/30.84 | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.84 | | | | | | | | | | | | | | | | | | | | | ALPHA: (3488) implies:
% 194.23/30.84 | | | | | | | | | | | | | | | | | | | | | (3489) all_56_2 = e1
% 194.23/30.84 | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.84 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (226) gives:
% 194.23/30.84 | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.84 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 194.23/30.84 | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.84 | | | | | | | | | | | | | | | | | | | | | | (3490) (all_56_1 = e1 & op(e3, e2) = e1) | (all_56_3 = e1
% 194.23/30.84 | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1)
% 194.23/30.84 | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.84 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (170), (1551), (2919), (3490),
% 194.23/30.84 | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 194.23/30.84 | | | | | | | | | | | | | | | | | | | | | | #1372.
% 194.23/30.84 | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.84 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 194.23/30.84 | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.84 | | | | | | | | | | | | | | | | | | | | | | (3491) (all_56_7 = e1 & op(e1, e2) = e1) | (all_56_13 =
% 194.23/30.84 | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e2) = e1)
% 194.23/30.84 | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.84 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3491) gives:
% 194.23/30.84 | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.84 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 194.23/30.84 | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.84 | | | | | | | | | | | | | | | | | | | | | | | (3492) all_56_7 = e1 & op(e1, e2) = e1
% 194.23/30.84 | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.84 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3492) implies:
% 194.23/30.84 | | | | | | | | | | | | | | | | | | | | | | | (3493) op(e1, e2) = e1
% 194.23/30.84 | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.84 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (162), (3482), (3493), (function-axioms) are
% 194.23/30.84 | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1480.
% 194.23/30.84 | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.84 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 194.23/30.84 | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.84 | | | | | | | | | | | | | | | | | | | | | | | (3494) all_56_13 = e1 & op(e0, e2) = e1
% 194.23/30.84 | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.84 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3494) implies:
% 194.23/30.84 | | | | | | | | | | | | | | | | | | | | | | | (3495) all_56_13 = e1
% 194.23/30.84 | | | | | | | | | | | | | | | | | | | | | | | (3496) op(e0, e2) = e1
% 194.23/30.84 | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.84 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (233) gives:
% 194.23/30.84 | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.84 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 194.23/30.84 | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.84 | | | | | | | | | | | | | | | | | | | | | | | | (3497) (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2
% 194.23/30.84 | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e2)
% 194.23/30.84 | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.84 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (2921), (3489), (3497), (function-axioms) are
% 194.23/30.84 | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1746.
% 194.23/30.84 | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.84 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 194.23/30.84 | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.84 | | | | | | | | | | | | | | | | | | | | | | | | (3498) (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_12 =
% 194.23/30.84 | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e3) = e2)
% 194.23/30.84 | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.84 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3498) gives:
% 194.23/30.84 | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.84 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 194.23/30.84 | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.84 | | | | | | | | | | | | | | | | | | | | | | | | | (3499) all_56_6 = e2 & op(e1, e3) = e2
% 194.23/30.84 | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.84 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3499) implies:
% 194.23/30.84 | | | | | | | | | | | | | | | | | | | | | | | | | (3500) all_56_6 = e2
% 194.23/30.84 | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.84 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (213) gives:
% 194.23/30.84 | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.84 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 194.23/30.84 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.84 | | | | | | | | | | | | | | | | | | | | | | | | | | (3501) (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_7 = e0
% 194.23/30.84 | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e0)
% 194.23/30.84 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.84 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3501) gives:
% 194.23/30.84 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.84 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 194.23/30.84 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3502) all_56_6 = e0 & op(e1, e3) = e0
% 194.23/30.84 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3502) implies:
% 194.23/30.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3503) all_56_6 = e0
% 194.23/30.84 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (7), (8), (9), (233), (235), (2921),
% 194.23/30.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3489), (3503), (function-axioms) are inconsistent
% 194.23/30.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1737.
% 194.23/30.84 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.84 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 194.23/30.84 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3504) all_56_7 = e0 & op(e1, e2) = e0
% 194.23/30.84 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3504) implies:
% 194.23/30.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3505) op(e1, e2) = e0
% 194.23/30.84 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (162), (1545), (3505), (function-axioms) are
% 194.23/30.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1488.
% 194.23/30.84 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.84 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 194.23/30.84 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.84 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 194.23/30.84 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.84 | | | | | | | | | | | | | | | | | | | | | | | | | | (3506) (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_11 =
% 194.23/30.84 | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e1, e0) = e0)
% 194.23/30.84 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.84 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3506) gives:
% 194.23/30.84 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.84 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 194.23/30.84 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3507) all_56_8 = e0 & op(e1, e1) = e0
% 194.23/30.84 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3507) implies:
% 194.23/30.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3508) op(e1, e1) = e0
% 194.23/30.84 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (3486), (3508), (function-axioms) are
% 194.23/30.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1956.
% 194.23/30.84 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.84 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 194.23/30.84 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3509) all_56_11 = e0 & op(e1, e0) = e0
% 194.23/30.84 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3509) implies:
% 194.23/30.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3510) all_56_11 = e0
% 194.23/30.84 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (235) gives:
% 194.23/30.84 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 194.23/30.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3511) (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_2 = e3
% 194.23/30.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e3)
% 194.23/30.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (2921), (3489), (3511), (function-axioms) are
% 194.23/30.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1748.
% 194.23/30.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 194.23/30.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3512) (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_12 =
% 194.23/30.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e3) = e3)
% 194.23/30.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3512) gives:
% 194.23/30.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 194.23/30.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3513) all_56_6 = e3 & op(e1, e3) = e3
% 194.23/30.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3513) implies:
% 194.23/30.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3514) all_56_6 = e3
% 194.23/30.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (229), (233), (235),
% 194.23/30.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2921), (3489), (3514), (function-axioms) are
% 194.23/30.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1738.
% 194.23/30.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 194.23/30.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3515) all_56_12 = e3 & op(e0, e3) = e3
% 194.23/30.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3515) implies:
% 194.23/30.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3516) op(e0, e3) = e3
% 194.23/30.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (210) gives:
% 194.23/30.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 194.23/30.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3517) (all_56_9 = e1 & op(e3, e0) = e1) | (all_56_10 =
% 194.23/30.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e2, e0) = e1)
% 194.23/30.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3517) gives:
% 194.23/30.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 194.23/30.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3518) all_56_9 = e1 & op(e3, e0) = e1
% 194.23/30.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3518) implies:
% 194.23/30.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3519) all_56_9 = e1
% 194.23/30.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (223) gives:
% 194.23/30.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 194.23/30.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3520) (all_56_2 = e2 & op(e2, e3) = e2) | (all_56_3 = e2
% 194.23/30.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e2)
% 194.23/30.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3520) gives:
% 194.23/30.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 194.23/30.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3521) all_56_2 = e2 & op(e2, e3) = e2
% 194.23/30.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3521) implies:
% 194.23/30.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3522) all_56_2 = e2
% 194.23/30.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (229) gives:
% 194.23/30.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 194.23/30.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3523) (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0
% 194.23/30.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e0)
% 194.23/30.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (158), (162), (222),
% 194.23/30.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (223), (224), (225), (226), (227), (228), (1545),
% 194.23/30.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1546), (1551), (2921), (3523), (function-axioms)
% 194.23/30.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1288.
% 194.23/30.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 194.23/30.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3524) (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 =
% 194.23/30.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e3) = e0)
% 194.23/30.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3524) gives:
% 194.23/30.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 194.23/30.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3525) all_56_6 = e0 & op(e1, e3) = e0
% 194.23/30.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3525) implies:
% 194.23/30.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3526) all_56_6 = e0
% 194.23/30.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3500), (3526) imply:
% 194.23/30.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3527) e2 = e0
% 194.23/30.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (158), (162), (222),
% 194.23/30.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (223), (224), (225), (226), (227), (228), (1545),
% 194.23/30.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1546), (1551), (3522), (3527), (function-axioms)
% 194.23/30.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1242.
% 194.23/30.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 194.23/30.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3528) all_56_12 = e0 & op(e0, e3) = e0
% 194.23/30.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3528) implies:
% 194.23/30.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3529) op(e0, e3) = e0
% 194.23/30.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (3516), (3529), (function-axioms) are
% 194.23/30.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1877.
% 194.23/30.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 194.23/30.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 194.23/30.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 194.23/30.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3530) all_56_3 = e2 & op(e2, e2) = e2
% 194.23/30.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3530) implies:
% 194.23/30.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3531) op(e2, e2) = e2
% 194.23/30.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (1551), (3531), (function-axioms) are
% 194.23/30.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1960.
% 194.23/30.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 194.23/30.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 194.23/30.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3532) (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_10 =
% 194.23/30.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2)
% 194.23/30.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3532) gives:
% 194.23/30.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 194.23/30.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3533) all_56_5 = e2 & op(e2, e1) = e2
% 194.23/30.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3533) implies:
% 194.23/30.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3534) all_56_5 = e2
% 194.23/30.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (230) gives:
% 194.23/30.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 194.23/30.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3535) (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_1 = e0
% 194.23/30.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e0)
% 194.23/30.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (226), (227), (228),
% 194.23/30.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1551), (2921), (3535), (function-axioms) are
% 194.23/30.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1311.
% 194.23/30.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 194.23/30.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3536) (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_9 = e0
% 194.23/30.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e0)
% 194.23/30.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3536) gives:
% 194.23/30.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 194.23/30.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3537) all_56_4 = e0 & op(e3, e1) = e0
% 194.23/30.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3537) implies:
% 194.23/30.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3538) all_56_4 = e0
% 194.23/30.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (234) gives:
% 194.23/30.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 194.23/30.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.23/30.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3539) (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_1 = e2
% 194.23/30.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e2)
% 194.23/30.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (230), (236),
% 194.82/30.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2921), (3519), (3539), (function-axioms) are
% 194.82/30.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1236.
% 194.82/30.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 194.82/30.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3540) (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_9 = e2
% 194.82/30.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e2)
% 194.82/30.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3540) gives:
% 194.82/30.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 194.82/30.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3541) all_56_4 = e2 & op(e3, e1) = e2
% 194.82/30.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (158), (162), (222),
% 194.82/30.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (223), (224), (225), (226), (227), (228), (1545),
% 194.82/30.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1546), (1551), (3534), (3538), (3541),
% 194.82/30.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 194.82/30.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1235.
% 194.82/30.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 194.82/30.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3542) all_56_9 = e2 & op(e3, e0) = e2
% 194.82/30.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (168), (3448), (3542), (function-axioms) are
% 194.82/30.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1760.
% 194.82/30.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 194.82/30.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 194.82/30.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 194.82/30.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3543) all_56_9 = e0 & op(e3, e0) = e0
% 194.82/30.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (158), (162), (222),
% 194.82/30.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (223), (224), (225), (226), (227), (228), (1545),
% 194.82/30.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1546), (1551), (3489), (3519), (3543),
% 194.82/30.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 194.82/30.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1234.
% 194.82/30.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 194.82/30.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 194.82/30.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 194.82/30.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3544) all_56_10 = e2 & op(e2, e0) = e2
% 194.82/30.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3544) implies:
% 194.82/30.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3545) all_56_10 = e2
% 194.82/30.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8), (9), (45), (212), (376), (3510), (3519),
% 194.82/30.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3545), (function-axioms) are inconsistent by
% 194.82/30.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1704.
% 194.82/30.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 194.82/30.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 194.82/30.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 194.82/30.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3546) all_56_10 = e1 & op(e2, e0) = e1
% 194.82/30.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3546) implies:
% 194.82/30.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3547) op(e2, e0) = e1
% 194.82/30.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (112), (126), (133), (136), (160), (162), (193),
% 194.82/30.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (195), (201), (203), (250), (258), (270), (272),
% 194.82/30.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1538), (1544), (1545), (1556), (1565), (1568),
% 194.82/30.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1569), (3442), (3448), (3458), (3462), (3466),
% 194.82/30.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3468), (3496), (3547), (function-axioms) are
% 194.82/30.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1229.
% 194.82/30.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 194.82/30.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 194.82/30.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3548) (all_56_11 = e1 & op(e1, e0) = e1) | (all_56_15 =
% 194.82/30.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = e1)
% 194.82/30.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3548) gives:
% 194.82/30.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 194.82/30.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3549) all_56_11 = e1 & op(e1, e0) = e1
% 194.82/30.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3549) implies:
% 194.82/30.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3550) op(e1, e0) = e1
% 194.82/30.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (160), (3484), (3550), (function-axioms) are
% 194.82/30.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1938.
% 194.82/30.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 194.82/30.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3551) all_56_15 = e1 & op(e0, e0) = e1
% 194.82/30.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3551) implies:
% 194.82/30.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3552) op(e0, e0) = e1
% 194.82/30.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (206) gives:
% 194.82/30.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 194.82/30.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3553) all_56_15 = e0 & op(e0, e0) = e0
% 194.82/30.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3553) implies:
% 194.82/30.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3554) op(e0, e0) = e0
% 194.82/30.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (3552), (3554), (function-axioms) are
% 194.82/30.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1708.
% 194.82/30.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 194.82/30.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3555) ((all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 =
% 194.82/30.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_56_11 = e0 &
% 194.82/30.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e0)) & ((all_56_12 = e0 & op(e0,
% 194.82/30.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e0) | (all_56_13 = e0 & op(e0, e2) =
% 194.82/30.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) | (all_56_14 = e0 & op(e0, e1) = e0))
% 194.82/30.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3555) implies:
% 194.82/30.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3556) (all_56_12 = e0 & op(e0, e3) = e0) | (all_56_13 =
% 194.82/30.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0) | (all_56_14 = e0 & op(e0,
% 194.82/30.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0)
% 194.82/30.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3556) gives:
% 194.82/30.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 194.82/30.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3557) all_56_12 = e0 & op(e0, e3) = e0
% 194.82/30.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3557) implies:
% 194.82/30.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3558) op(e0, e3) = e0
% 194.82/30.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (3516), (3558), (function-axioms) are
% 194.82/30.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1877.
% 194.82/30.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 194.82/30.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3559) (all_56_13 = e0 & op(e0, e2) = e0) | (all_56_14 =
% 194.82/30.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0)
% 194.82/30.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3559) gives:
% 194.82/30.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 194.82/30.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3560) all_56_13 = e0 & op(e0, e2) = e0
% 194.82/30.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3560) implies:
% 194.82/30.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3561) op(e0, e2) = e0
% 194.82/30.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (3496), (3561), (function-axioms) are
% 194.82/30.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1623.
% 194.82/30.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 194.82/30.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3562) all_56_14 = e0 & op(e0, e1) = e0
% 194.82/30.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3562) implies:
% 194.82/30.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3563) op(e0, e1) = e0
% 194.82/30.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (208) gives:
% 194.82/30.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 194.82/30.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3564) (all_56_12 = e2 & op(e0, e3) = e2) | (all_56_13 =
% 194.82/30.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e2)
% 194.82/30.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3564) gives:
% 194.82/30.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 194.82/30.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3565) all_56_12 = e2 & op(e0, e3) = e2
% 194.82/30.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3565) implies:
% 194.82/30.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3566) all_56_12 = e2
% 194.82/30.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (8), (9), (229), (235), (2921),
% 194.82/30.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3489), (3566), (function-axioms) are inconsistent
% 194.82/30.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1739.
% 194.82/30.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 194.82/30.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3567) all_56_13 = e2 & op(e0, e2) = e2
% 194.82/30.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3567) implies:
% 194.82/30.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3568) all_56_13 = e2
% 194.82/30.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (3495), (3568) are inconsistent by sub-proof
% 194.82/30.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1571.
% 194.82/30.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 194.82/30.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 194.82/30.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3569) (all_56_14 = e2 & op(e0, e1) = e2) | (all_56_15 =
% 194.82/30.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = e2)
% 194.82/30.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (3552), (3563), (3569),
% 194.82/30.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 194.82/30.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1417.
% 194.82/30.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 194.82/30.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 194.82/30.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 194.82/30.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 194.82/30.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 194.82/30.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 194.82/30.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 194.82/30.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 194.82/30.85 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.85 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 194.82/30.85 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.85 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 194.82/30.85 | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.85 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 194.82/30.85 | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.85 | | | | | | | | | | | | | | | | | | | | | | | | | (3570) all_56_12 = e2 & op(e0, e3) = e2
% 194.82/30.85 | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.85 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3570) implies:
% 194.82/30.85 | | | | | | | | | | | | | | | | | | | | | | | | | (3571) all_56_12 = e2
% 194.82/30.85 | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.85 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (8), (9), (229), (235), (2921),
% 194.82/30.85 | | | | | | | | | | | | | | | | | | | | | | | | | (3489), (3571), (function-axioms) are inconsistent
% 194.82/30.85 | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1739.
% 194.82/30.85 | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.85 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 194.82/30.85 | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.85 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 194.82/30.85 | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.85 | | | | | | | | | | | | | | | | | | | | | | End of split
% 194.82/30.85 | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.85 | | | | | | | | | | | | | | | | | | | | | End of split
% 194.82/30.85 | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.85 | | | | | | | | | | | | | | | | | | | | Case 2:
% 194.82/30.85 | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.85 | | | | | | | | | | | | | | | | | | | | | (3572) all_56_3 = e1 & op(e2, e2) = e1
% 194.82/30.85 | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.85 | | | | | | | | | | | | | | | | | | | | | ALPHA: (3572) implies:
% 194.82/30.85 | | | | | | | | | | | | | | | | | | | | | (3573) op(e2, e2) = e1
% 194.82/30.85 | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.85 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (1551), (3573), (function-axioms) are
% 194.82/30.85 | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1512.
% 194.82/30.85 | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.85 | | | | | | | | | | | | | | | | | | | | End of split
% 194.82/30.85 | | | | | | | | | | | | | | | | | | | |
% 194.82/30.85 | | | | | | | | | | | | | | | | | | | Case 2:
% 194.82/30.85 | | | | | | | | | | | | | | | | | | | |
% 194.82/30.85 | | | | | | | | | | | | | | | | | | | | (3574) (all_56_5 = e1 & op(e2, e1) = e1) | (all_56_10 =
% 194.82/30.85 | | | | | | | | | | | | | | | | | | | | e1 & op(e2, e0) = e1)
% 194.82/30.85 | | | | | | | | | | | | | | | | | | | |
% 194.82/30.85 | | | | | | | | | | | | | | | | | | | | BETA: splitting (3574) gives:
% 194.82/30.85 | | | | | | | | | | | | | | | | | | | |
% 194.82/30.85 | | | | | | | | | | | | | | | | | | | | Case 1:
% 194.82/30.85 | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.85 | | | | | | | | | | | | | | | | | | | | | (3575) all_56_5 = e1 & op(e2, e1) = e1
% 194.82/30.85 | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.85 | | | | | | | | | | | | | | | | | | | | | ALPHA: (3575) implies:
% 194.82/30.85 | | | | | | | | | | | | | | | | | | | | | (3576) op(e2, e1) = e1
% 194.82/30.85 | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.85 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (3483), (3576), (function-axioms) are
% 194.82/30.85 | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1871.
% 194.82/30.85 | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.85 | | | | | | | | | | | | | | | | | | | | Case 2:
% 194.82/30.85 | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.85 | | | | | | | | | | | | | | | | | | | | | (3577) all_56_10 = e1 & op(e2, e0) = e1
% 194.82/30.85 | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.85 | | | | | | | | | | | | | | | | | | | | | ALPHA: (3577) implies:
% 194.82/30.85 | | | | | | | | | | | | | | | | | | | | | (3578) op(e2, e0) = e1
% 194.82/30.85 | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.85 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (226) gives:
% 194.82/30.85 | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.85 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 194.82/30.85 | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.85 | | | | | | | | | | | | | | | | | | | | | | (3579) (all_56_1 = e1 & op(e3, e2) = e1) | (all_56_3 = e1
% 194.82/30.85 | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1)
% 194.82/30.85 | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.85 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (170), (1551), (2919), (3579),
% 194.82/30.85 | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 194.82/30.85 | | | | | | | | | | | | | | | | | | | | | | #1372.
% 194.82/30.85 | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.85 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 194.82/30.85 | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.85 | | | | | | | | | | | | | | | | | | | | | | (3580) (all_56_7 = e1 & op(e1, e2) = e1) | (all_56_13 =
% 194.82/30.85 | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e2) = e1)
% 194.82/30.85 | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.85 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3580) gives:
% 194.82/30.85 | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.85 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 194.82/30.85 | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.85 | | | | | | | | | | | | | | | | | | | | | | | (3581) all_56_7 = e1 & op(e1, e2) = e1
% 194.82/30.85 | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.85 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3581) implies:
% 194.82/30.85 | | | | | | | | | | | | | | | | | | | | | | | (3582) op(e1, e2) = e1
% 194.82/30.85 | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.85 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (162), (3482), (3582), (function-axioms) are
% 194.82/30.85 | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1480.
% 194.82/30.85 | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.85 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 194.82/30.85 | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.85 | | | | | | | | | | | | | | | | | | | | | | | (3583) all_56_13 = e1 & op(e0, e2) = e1
% 194.82/30.85 | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.85 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3583) implies:
% 194.82/30.85 | | | | | | | | | | | | | | | | | | | | | | | (3584) op(e0, e2) = e1
% 194.82/30.85 | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.85 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (112), (126), (133), (136), (160), (162), (193),
% 194.82/30.85 | | | | | | | | | | | | | | | | | | | | | | | (195), (201), (203), (250), (258), (270), (272),
% 194.82/30.85 | | | | | | | | | | | | | | | | | | | | | | | (1538), (1544), (1545), (1556), (1565), (1568),
% 194.82/30.85 | | | | | | | | | | | | | | | | | | | | | | | (1569), (3442), (3448), (3458), (3462), (3466),
% 194.82/30.85 | | | | | | | | | | | | | | | | | | | | | | | (3468), (3578), (3584), (function-axioms) are
% 194.82/30.85 | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1229.
% 194.82/30.85 | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.85 | | | | | | | | | | | | | | | | | | | | | | End of split
% 194.82/30.85 | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.85 | | | | | | | | | | | | | | | | | | | | | End of split
% 194.82/30.85 | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.85 | | | | | | | | | | | | | | | | | | | | End of split
% 194.82/30.85 | | | | | | | | | | | | | | | | | | | |
% 194.82/30.85 | | | | | | | | | | | | | | | | | | | End of split
% 194.82/30.85 | | | | | | | | | | | | | | | | | | |
% 194.82/30.85 | | | | | | | | | | | | | | | | | | Case 2:
% 194.82/30.85 | | | | | | | | | | | | | | | | | | |
% 194.82/30.85 | | | | | | | | | | | | | | | | | | | (3585) all_54_10 = e0
% 194.82/30.85 | | | | | | | | | | | | | | | | | | |
% 194.82/30.85 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (335), (372), (3585) are inconsistent by sub-proof
% 194.82/30.85 | | | | | | | | | | | | | | | | | | | #1950.
% 194.82/30.85 | | | | | | | | | | | | | | | | | | |
% 194.82/30.85 | | | | | | | | | | | | | | | | | | End of split
% 194.82/30.85 | | | | | | | | | | | | | | | | | |
% 194.82/30.85 | | | | | | | | | | | | | | | | | End of split
% 194.82/30.85 | | | | | | | | | | | | | | | | |
% 194.82/30.85 | | | | | | | | | | | | | | | | End of split
% 194.82/30.85 | | | | | | | | | | | | | | | |
% 194.82/30.85 | | | | | | | | | | | | | | | Case 2:
% 194.82/30.85 | | | | | | | | | | | | | | | |
% 194.82/30.85 | | | | | | | | | | | | | | | | (3586) all_32_2 = e3
% 194.82/30.85 | | | | | | | | | | | | | | | | (3587) op(e3, e1) = all_32_1 & $i(all_32_1) & ( ~
% 194.82/30.85 | | | | | | | | | | | | | | | | (all_32_1 = e0) | ( ~ (all_32_0 = e2) & op(e0,
% 194.82/30.85 | | | | | | | | | | | | | | | | e3) = all_32_0 & $i(all_32_0)))
% 194.82/30.85 | | | | | | | | | | | | | | | |
% 194.82/30.85 | | | | | | | | | | | | | | | | ALPHA: (3587) implies:
% 194.82/30.85 | | | | | | | | | | | | | | | | (3588) op(e3, e1) = all_32_1
% 194.82/30.85 | | | | | | | | | | | | | | | | (3589) ~ (all_32_1 = e0) | ( ~ (all_32_0 = e2) & op(e0,
% 194.82/30.85 | | | | | | | | | | | | | | | | e3) = all_32_0 & $i(all_32_0))
% 194.82/30.85 | | | | | | | | | | | | | | | |
% 194.82/30.85 | | | | | | | | | | | | | | | | COMBINE_EQS: (301), (3586) imply:
% 194.82/30.85 | | | | | | | | | | | | | | | | (3590) all_4_2 = e3
% 194.82/30.85 | | | | | | | | | | | | | | | |
% 194.82/30.85 | | | | | | | | | | | | | | | | COMBINE_EQS: (295), (3590) imply:
% 194.82/30.85 | | | | | | | | | | | | | | | | (3591) all_50_2 = e3
% 194.82/30.85 | | | | | | | | | | | | | | | |
% 194.82/30.85 | | | | | | | | | | | | | | | | REDUCE: (360), (3590) imply:
% 194.82/30.85 | | | | | | | | | | | | | | | | (3592) ~ (all_52_6 = e3)
% 194.82/30.85 | | | | | | | | | | | | | | | |
% 194.82/30.85 | | | | | | | | | | | | | | | | REDUCE: (362), (3590) imply:
% 194.82/30.85 | | | | | | | | | | | | | | | | (3593) ~ (all_52_8 = e3)
% 194.82/30.85 | | | | | | | | | | | | | | | |
% 194.82/30.85 | | | | | | | | | | | | | | | | REDUCE: (363), (3590) imply:
% 194.82/30.85 | | | | | | | | | | | | | | | | (3594) ~ (all_52_9 = e3)
% 194.82/30.85 | | | | | | | | | | | | | | | |
% 194.82/30.85 | | | | | | | | | | | | | | | | REDUCE: (365), (3590) imply:
% 194.82/30.85 | | | | | | | | | | | | | | | | (3595) ~ (all_52_11 = e3)
% 194.82/30.85 | | | | | | | | | | | | | | | |
% 194.82/30.85 | | | | | | | | | | | | | | | | REDUCE: (367), (3590) imply:
% 194.82/30.85 | | | | | | | | | | | | | | | | (3596) ~ (all_52_14 = e3)
% 194.82/30.85 | | | | | | | | | | | | | | | |
% 194.82/30.85 | | | | | | | | | | | | | | | | REDUCE: (2939), (3590) imply:
% 194.82/30.85 | | | | | | | | | | | | | | | | (3597) ~ (all_28_1 = e3)
% 194.82/30.85 | | | | | | | | | | | | | | | |
% 194.82/30.85 | | | | | | | | | | | | | | | | REDUCE: (36), (3590) imply:
% 194.82/30.85 | | | | | | | | | | | | | | | | (3598) op(e1, e1) = e3
% 194.82/30.85 | | | | | | | | | | | | | | | |
% 194.82/30.85 | | | | | | | | | | | | | | | | BETA: splitting (106) gives:
% 194.82/30.85 | | | | | | | | | | | | | | | |
% 194.82/30.85 | | | | | | | | | | | | | | | | Case 1:
% 194.82/30.85 | | | | | | | | | | | | | | | | |
% 194.82/30.85 | | | | | | | | | | | | | | | | | (3599) ~ (all_50_2 = e3)
% 194.82/30.85 | | | | | | | | | | | | | | | | |
% 194.82/30.85 | | | | | | | | | | | | | | | | | REDUCE: (3591), (3599) imply:
% 194.82/30.85 | | | | | | | | | | | | | | | | | (3600) $false
% 194.82/30.85 | | | | | | | | | | | | | | | | |
% 194.82/30.85 | | | | | | | | | | | | | | | | | CLOSE: (3600) is inconsistent.
% 194.82/30.85 | | | | | | | | | | | | | | | | |
% 194.82/30.85 | | | | | | | | | | | | | | | | Case 2:
% 194.82/30.85 | | | | | | | | | | | | | | | | |
% 194.82/30.85 | | | | | | | | | | | | | | | | | (3601) op(e3, e1) = all_50_1 & $i(all_50_1) & ( ~
% 194.82/30.85 | | | | | | | | | | | | | | | | | (all_50_1 = e2) | ( ~ (all_50_0 = e0) & op(e2,
% 194.82/30.85 | | | | | | | | | | | | | | | | | e3) = all_50_0 & $i(all_50_0)))
% 194.82/30.85 | | | | | | | | | | | | | | | | |
% 194.82/30.85 | | | | | | | | | | | | | | | | | ALPHA: (3601) implies:
% 194.82/30.85 | | | | | | | | | | | | | | | | | (3602) op(e3, e1) = all_50_1
% 194.82/30.85 | | | | | | | | | | | | | | | | |
% 194.82/30.85 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_8,
% 194.82/30.85 | | | | | | | | | | | | | | | | | all_32_1, e1, e3, simplifying with (169), (3588)
% 194.82/30.85 | | | | | | | | | | | | | | | | | gives:
% 194.82/30.85 | | | | | | | | | | | | | | | | | (3603) all_52_8 = all_32_1
% 194.82/30.85 | | | | | | | | | | | | | | | | |
% 194.82/30.85 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_8,
% 194.82/30.85 | | | | | | | | | | | | | | | | | all_50_1, e1, e3, simplifying with (169), (3602)
% 194.82/30.85 | | | | | | | | | | | | | | | | | gives:
% 194.82/30.85 | | | | | | | | | | | | | | | | | (3604) all_52_8 = all_50_1
% 194.82/30.85 | | | | | | | | | | | | | | | | |
% 194.82/30.85 | | | | | | | | | | | | | | | | | COMBINE_EQS: (3603), (3604) imply:
% 194.82/30.85 | | | | | | | | | | | | | | | | | (3605) all_50_1 = all_32_1
% 194.82/30.85 | | | | | | | | | | | | | | | | |
% 194.82/30.85 | | | | | | | | | | | | | | | | | SIMP: (3605) implies:
% 194.82/30.85 | | | | | | | | | | | | | | | | | (3606) all_50_1 = all_32_1
% 194.82/30.85 | | | | | | | | | | | | | | | | |
% 194.82/30.85 | | | | | | | | | | | | | | | | | REDUCE: (121), (3603) imply:
% 194.82/30.85 | | | | | | | | | | | | | | | | | (3607) ~ (all_52_11 = all_32_1)
% 194.82/30.85 | | | | | | | | | | | | | | | | |
% 194.82/30.85 | | | | | | | | | | | | | | | | | SIMP: (3607) implies:
% 194.82/30.85 | | | | | | | | | | | | | | | | | (3608) ~ (all_52_11 = all_32_1)
% 194.82/30.85 | | | | | | | | | | | | | | | | |
% 194.82/30.85 | | | | | | | | | | | | | | | | | BETA: splitting (200) gives:
% 194.82/30.85 | | | | | | | | | | | | | | | | |
% 194.82/30.85 | | | | | | | | | | | | | | | | | Case 1:
% 194.82/30.85 | | | | | | | | | | | | | | | | | |
% 194.82/30.85 | | | | | | | | | | | | | | | | | | (3609) all_54_4 = e3
% 194.82/30.85 | | | | | | | | | | | | | | | | | |
% 194.82/30.85 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (269), (3609) imply:
% 194.82/30.85 | | | | | | | | | | | | | | | | | | (3610) all_52_1 = e3
% 194.82/30.85 | | | | | | | | | | | | | | | | | |
% 194.82/30.85 | | | | | | | | | | | | | | | | | | REDUCE: (148), (3610) imply:
% 194.82/30.85 | | | | | | | | | | | | | | | | | | (3611) ~ (all_52_3 = e3)
% 194.82/30.85 | | | | | | | | | | | | | | | | | |
% 194.82/30.85 | | | | | | | | | | | | | | | | | | SIMP: (3611) implies:
% 194.82/30.85 | | | | | | | | | | | | | | | | | | (3612) ~ (all_52_3 = e3)
% 194.82/30.85 | | | | | | | | | | | | | | | | | |
% 194.82/30.85 | | | | | | | | | | | | | | | | | | REDUCE: (146), (3610) imply:
% 194.82/30.85 | | | | | | | | | | | | | | | | | | (3613) ~ (all_52_9 = e3)
% 194.82/30.85 | | | | | | | | | | | | | | | | | |
% 194.82/30.85 | | | | | | | | | | | | | | | | | | REDUCE: (3464), (3610) imply:
% 194.82/30.85 | | | | | | | | | | | | | | | | | | (3614) ~ (all_30_1 = e3)
% 194.82/30.85 | | | | | | | | | | | | | | | | | |
% 194.82/30.85 | | | | | | | | | | | | | | | | | | SIMP: (3614) implies:
% 194.82/30.85 | | | | | | | | | | | | | | | | | | (3615) ~ (all_30_1 = e3)
% 194.82/30.85 | | | | | | | | | | | | | | | | | |
% 194.82/30.85 | | | | | | | | | | | | | | | | | | REDUCE: (2932), (3610) imply:
% 194.82/30.85 | | | | | | | | | | | | | | | | | | (3616) ~ (all_28_1 = e3)
% 194.82/30.85 | | | | | | | | | | | | | | | | | |
% 194.82/30.85 | | | | | | | | | | | | | | | | | | BETA: splitting (224) gives:
% 194.82/30.85 | | | | | | | | | | | | | | | | | |
% 194.82/30.85 | | | | | | | | | | | | | | | | | | Case 1:
% 194.82/30.85 | | | | | | | | | | | | | | | | | | |
% 194.82/30.85 | | | | | | | | | | | | | | | | | | | (3617) (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3
% 194.82/30.85 | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e3)
% 194.82/30.85 | | | | | | | | | | | | | | | | | | |
% 194.82/30.85 | | | | | | | | | | | | | | | | | | | BETA: splitting (3617) gives:
% 194.82/30.85 | | | | | | | | | | | | | | | | | | |
% 194.82/30.85 | | | | | | | | | | | | | | | | | | | Case 1:
% 194.82/30.85 | | | | | | | | | | | | | | | | | | | |
% 194.82/30.85 | | | | | | | | | | | | | | | | | | | | (3618) all_56_2 = e3 & op(e2, e3) = e3
% 194.82/30.85 | | | | | | | | | | | | | | | | | | | |
% 194.82/30.85 | | | | | | | | | | | | | | | | | | | | ALPHA: (3618) implies:
% 194.82/30.85 | | | | | | | | | | | | | | | | | | | | (3619) all_56_2 = e3
% 194.82/30.85 | | | | | | | | | | | | | | | | | | | | (3620) op(e2, e3) = e3
% 194.82/30.85 | | | | | | | | | | | | | | | | | | | |
% 194.82/30.85 | | | | | | | | | | | | | | | | | | | | BETA: splitting (197) gives:
% 194.82/30.85 | | | | | | | | | | | | | | | | | | | |
% 194.82/30.85 | | | | | | | | | | | | | | | | | | | | Case 1:
% 194.82/30.85 | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.85 | | | | | | | | | | | | | | | | | | | | | (3621) all_54_7 = e3
% 194.82/30.85 | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.85 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (3463), (3615), (3621) are inconsistent by
% 194.82/30.85 | | | | | | | | | | | | | | | | | | | | | sub-proof #1228.
% 194.82/30.85 | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.85 | | | | | | | | | | | | | | | | | | | | Case 2:
% 194.82/30.85 | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.85 | | | | | | | | | | | | | | | | | | | | | (3622) all_54_7 = e2 | all_54_7 = e1 | all_54_7 = e0
% 194.82/30.85 | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.85 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (192) gives:
% 194.82/30.85 | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.85 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 194.82/30.85 | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.85 | | | | | | | | | | | | | | | | | | | | | | (3623) all_54_12 = e3
% 194.82/30.85 | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.85 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (249), (3612), (3623) are inconsistent by
% 194.82/30.85 | | | | | | | | | | | | | | | | | | | | | | sub-proof #1227.
% 194.82/30.85 | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.85 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 194.82/30.85 | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.85 | | | | | | | | | | | | | | | | | | | | | | (3624) ~ (all_54_12 = e3)
% 194.82/30.85 | | | | | | | | | | | | | | | | | | | | | | (3625) all_54_12 = e2 | all_54_12 = e1 | all_54_12 = e0
% 194.82/30.85 | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.85 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3622) gives:
% 194.82/30.85 | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.85 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 194.82/30.85 | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.85 | | | | | | | | | | | | | | | | | | | | | | | (3626) all_54_7 = e2
% 194.82/30.85 | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.85 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (3463), (3469), (3626) are inconsistent by
% 194.82/30.85 | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1359.
% 194.82/30.85 | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.85 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 194.82/30.85 | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.85 | | | | | | | | | | | | | | | | | | | | | | | (3627) all_54_7 = e1 | all_54_7 = e0
% 194.82/30.85 | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.85 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3625) gives:
% 194.82/30.85 | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.85 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 194.82/30.85 | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.85 | | | | | | | | | | | | | | | | | | | | | | | | (3628) all_54_12 = e2
% 194.82/30.85 | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.85 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (249), (3446), (3628) are inconsistent by
% 194.82/30.85 | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1226.
% 194.82/30.85 | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.85 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 194.82/30.85 | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.85 | | | | | | | | | | | | | | | | | | | | | | | | (3629) all_54_12 = e1 | all_54_12 = e0
% 194.82/30.85 | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.85 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3629) gives:
% 194.82/30.85 | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.85 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 194.82/30.85 | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.85 | | | | | | | | | | | | | | | | | | | | | | | | | (3630) all_54_12 = e1
% 194.82/30.85 | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.85 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (249), (2918), (3630) are inconsistent by
% 194.82/30.85 | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1278.
% 194.82/30.85 | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.85 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 194.82/30.85 | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.85 | | | | | | | | | | | | | | | | | | | | | | | | | (3631) all_54_12 = e0
% 194.82/30.85 | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.85 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (249), (3631) imply:
% 194.82/30.85 | | | | | | | | | | | | | | | | | | | | | | | | | (3632) all_52_3 = e0
% 194.82/30.85 | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.85 | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3632) implies:
% 194.82/30.85 | | | | | | | | | | | | | | | | | | | | | | | | | (3633) all_52_3 = e0
% 194.82/30.85 | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.85 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (139), (3633) imply:
% 194.82/30.85 | | | | | | | | | | | | | | | | | | | | | | | | | (3634) ~ (all_52_11 = e0)
% 194.82/30.85 | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.85 | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3634) implies:
% 194.82/30.85 | | | | | | | | | | | | | | | | | | | | | | | | | (3635) ~ (all_52_11 = e0)
% 194.82/30.85 | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.85 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2934), (3633) imply:
% 194.82/30.85 | | | | | | | | | | | | | | | | | | | | | | | | | (3636) ~ (all_28_1 = e0)
% 194.82/30.85 | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.85 | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3636) implies:
% 194.82/30.85 | | | | | | | | | | | | | | | | | | | | | | | | | (3637) ~ (all_28_1 = e0)
% 194.82/30.85 | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.85 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1567), (3633) imply:
% 194.82/30.85 | | | | | | | | | | | | | | | | | | | | | | | | | (3638) ~ (all_20_1 = e0)
% 194.82/30.85 | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.85 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (159), (3633) imply:
% 194.82/30.85 | | | | | | | | | | | | | | | | | | | | | | | | | (3639) op(e0, e3) = e0
% 194.82/30.85 | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.85 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (209) gives:
% 194.82/30.85 | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.85 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 194.82/30.85 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.85 | | | | | | | | | | | | | | | | | | | | | | | | | | (3640) (all_56_12 = e3 & op(e0, e3) = e3) | (all_56_13 =
% 194.82/30.85 | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e2) = e3)
% 194.82/30.85 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.85 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3640) gives:
% 194.82/30.85 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.85 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 194.82/30.85 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3641) all_56_12 = e3 & op(e0, e3) = e3
% 194.82/30.85 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3641) implies:
% 194.82/30.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3642) op(e0, e3) = e3
% 194.82/30.85 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (3639), (3642), (function-axioms) are
% 194.82/30.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1877.
% 194.82/30.85 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.85 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 194.82/30.85 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3643) all_56_13 = e3 & op(e0, e2) = e3
% 194.82/30.85 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3643) implies:
% 194.82/30.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3644) all_56_13 = e3
% 194.82/30.86 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (196) gives:
% 194.82/30.86 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 194.82/30.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3645) all_54_8 = e3
% 194.82/30.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2931), (3597), (3645) are inconsistent by
% 194.82/30.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1609.
% 194.82/30.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 194.82/30.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3646) ~ (all_54_8 = e3)
% 194.82/30.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3647) all_54_8 = e2 | all_54_8 = e1 | all_54_8 = e0
% 194.82/30.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3647) gives:
% 194.82/30.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 194.82/30.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3648) all_54_8 = e2
% 194.82/30.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2931), (3648) imply:
% 194.82/30.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3649) all_28_1 = e2
% 194.82/30.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3649) implies:
% 194.82/30.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3650) all_28_1 = e2
% 194.82/30.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2936), (3650) imply:
% 194.82/30.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3651) ~ (all_52_6 = e2)
% 194.82/30.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (195) gives:
% 194.82/30.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 194.82/30.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3652) all_54_9 = e3
% 194.82/30.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (258), (3592), (3652) are inconsistent by
% 194.82/30.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1346.
% 194.82/30.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 194.82/30.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3653) all_54_9 = e2 | all_54_9 = e1 | all_54_9 = e0
% 194.82/30.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3653) gives:
% 194.82/30.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 194.82/30.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3654) all_54_9 = e2
% 194.82/30.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (258), (3651), (3654) are inconsistent by
% 194.82/30.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1225.
% 194.82/30.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 194.82/30.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3655) ~ (all_54_9 = e2)
% 194.82/30.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3656) all_54_9 = e1 | all_54_9 = e0
% 194.82/30.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (190) gives:
% 194.82/30.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 194.82/30.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3657) all_54_14 = e3
% 194.82/30.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (247), (3657) imply:
% 194.82/30.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3658) all_52_11 = e3
% 194.82/30.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3595), (3658) imply:
% 194.82/30.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3659) $false
% 194.82/30.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3659) is inconsistent.
% 194.82/30.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 194.82/30.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3660) ~ (all_54_14 = e3)
% 194.82/30.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3661) all_54_14 = e2 | all_54_14 = e1 | all_54_14 = e0
% 194.82/30.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (227) gives:
% 194.82/30.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 194.82/30.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3662) (all_56_1 = e2 & op(e3, e2) = e2) | (all_56_3 = e2
% 194.82/30.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e2)
% 194.82/30.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3662) gives:
% 194.82/30.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 194.82/30.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3663) all_56_1 = e2 & op(e3, e2) = e2
% 194.82/30.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3663) implies:
% 194.82/30.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3664) all_56_1 = e2
% 194.82/30.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3665) op(e3, e2) = e2
% 194.82/30.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3661) gives:
% 194.82/30.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 194.82/30.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3666) all_54_14 = e2
% 194.82/30.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (247), (3447), (3666) are inconsistent by
% 194.82/30.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1224.
% 194.82/30.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 194.82/30.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3667) ~ (all_54_14 = e2)
% 194.82/30.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3668) all_54_14 = e1 | all_54_14 = e0
% 194.82/30.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3627) gives:
% 194.82/30.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 194.82/30.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3669) all_54_7 = e1
% 194.82/30.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3463), (3669) imply:
% 194.82/30.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3670) all_30_1 = e1
% 194.82/30.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3670) implies:
% 194.82/30.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3671) all_30_1 = e1
% 194.82/30.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3468), (3671) imply:
% 194.82/30.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3672) ~ (all_52_14 = e1)
% 194.82/30.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (193) gives:
% 194.82/30.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 194.82/30.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3673) all_54_11 = e3
% 194.82/30.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (250), (3596), (3673) are inconsistent by
% 194.82/30.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1835.
% 194.82/30.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 194.82/30.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3674) all_54_11 = e2 | all_54_11 = e1 | all_54_11 = e0
% 194.82/30.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3668) gives:
% 194.82/30.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 194.82/30.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3675) all_54_14 = e1
% 194.82/30.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (247), (3675) imply:
% 194.82/30.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3676) all_52_11 = e1
% 194.82/30.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1571), (3676) imply:
% 194.82/30.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3677) ~ (all_20_1 = e1)
% 194.82/30.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3677) implies:
% 194.82/30.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3678) ~ (all_20_1 = e1)
% 194.82/30.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (157), (3676) imply:
% 194.82/30.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3679) op(e0, e1) = e1
% 194.82/30.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (191) gives:
% 194.82/30.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 194.82/30.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3680) all_54_13 = e3
% 194.82/30.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1566), (3680) imply:
% 194.82/30.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3681) all_20_1 = e3
% 194.82/30.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3681) implies:
% 194.82/30.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3682) all_20_1 = e3
% 194.82/30.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1568), (3682) imply:
% 194.82/30.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3683) ~ (all_52_4 = e3)
% 194.82/30.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (217) gives:
% 194.82/30.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 194.82/30.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3684) (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_5 = e0
% 194.82/30.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e0)
% 194.82/30.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3684) gives:
% 194.82/30.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 194.82/30.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3685) all_56_4 = e0 & op(e3, e1) = e0
% 194.82/30.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3685) implies:
% 194.82/30.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3686) op(e3, e1) = e0
% 194.82/30.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (213) gives:
% 194.82/30.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 194.82/30.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3687) (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_7 = e0
% 194.82/30.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e0)
% 194.82/30.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3687) gives:
% 194.82/30.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 194.82/30.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3688) all_56_6 = e0 & op(e1, e3) = e0
% 194.82/30.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3688) implies:
% 194.82/30.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3689) all_56_6 = e0
% 194.82/30.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3690) op(e1, e3) = e0
% 194.82/30.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (9), (118), (148), (157), (159), (165),
% 194.82/30.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (167), (190), (192), (200), (222), (224), (229),
% 194.82/30.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (233), (235), (247), (249), (269), (1551), (2913),
% 194.82/30.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2916), (2918), (2921), (2926), (2930), (2932),
% 194.82/30.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2934), (3588), (3589), (3594), (3595), (3597),
% 194.82/30.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3608), (3686), (3689), (3690), (function-axioms)
% 194.82/30.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1275.
% 194.82/30.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 194.82/30.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3691) all_56_7 = e0 & op(e1, e2) = e0
% 194.82/30.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3691) implies:
% 194.82/30.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3692) all_56_7 = e0
% 194.82/30.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (8), (226), (1561), (3644), (3664),
% 194.82/30.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3692) are inconsistent by sub-proof #1405.
% 194.82/30.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 194.82/30.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 194.82/30.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3693) (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_11 =
% 194.82/30.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e1, e0) = e0)
% 194.82/30.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3693) gives:
% 194.82/30.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 194.82/30.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3694) all_56_8 = e0 & op(e1, e1) = e0
% 194.82/30.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3694) implies:
% 194.82/30.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3695) op(e1, e1) = e0
% 194.82/30.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (3598), (3695), (function-axioms) are
% 194.82/30.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1918.
% 194.82/30.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 194.82/30.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3696) all_56_11 = e0 & op(e1, e0) = e0
% 194.82/30.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3696) implies:
% 194.82/30.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3697) op(e1, e0) = e0
% 194.82/30.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (238) gives:
% 194.82/30.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 194.82/30.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3698) (all_57_3 = e3 & ~ (all_57_1 = e2) & ~ (all_57_8
% 194.82/30.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_10 = e2) & ~ (all_57_12 =
% 194.82/30.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_14 = e0) & op(e3, e3) =
% 194.82/30.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e2) = e3 & op(e2, all_57_9) =
% 194.82/30.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_8 & op(e2, all_57_11) = all_57_10 &
% 194.82/30.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_13) = all_57_12 & op(e2,
% 194.82/30.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15) = all_57_14 & op(e2, e3) = all_57_9
% 194.82/30.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = all_57_11 & op(e2, e1) =
% 194.82/30.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_13 & op(e2, e0) = all_57_15 &
% 194.82/30.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_8) & $i(all_57_9) &
% 194.82/30.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & $i(all_57_11) & $i(all_57_12) &
% 194.82/30.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13) & $i(all_57_14) & $i(all_57_15)) |
% 194.82/30.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_5 = e3 & ~ (all_57_1 = e1) & ~
% 194.82/30.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_16 = e3) & ~ (all_57_18 = e2) & ~
% 194.82/30.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_22 = e0) & op(e3,
% 194.82/30.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_1 & op(e3, e1) = e3 & op(e1,
% 194.82/30.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17) = all_57_16 & op(e1, all_57_19) =
% 194.82/30.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_18 & op(e1, all_57_21) = all_57_20 &
% 194.82/30.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_23) = all_57_22 & op(e1, e3) =
% 194.82/30.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e1, e2) = all_57_19 & op(e1, e1)
% 194.82/30.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_21 & op(e1, e0) = all_57_23 &
% 194.82/30.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_16) & $i(all_57_17) &
% 194.82/30.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_19) & $i(all_57_20) &
% 194.82/30.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_22) & $i(all_57_23)) |
% 194.82/30.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_7 = e3 & ~ (all_57_1 = e0) & ~
% 194.82/30.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 194.82/30.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) & op(e3,
% 194.82/30.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_1 & op(e3, e0) = e3 & op(e0,
% 194.82/30.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25) = all_57_24 & op(e0, all_57_27) =
% 194.82/30.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e0, all_57_29) = all_57_28 &
% 194.82/30.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_31) = all_57_30 & op(e0, e3) =
% 194.82/30.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_27 & op(e0, e1)
% 194.82/30.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_29 & op(e0, e0) = all_57_31 &
% 194.82/30.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_24) & $i(all_57_25) &
% 194.82/30.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_27) & $i(all_57_28) &
% 194.82/30.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29) & $i(all_57_30) & $i(all_57_31)) |
% 194.82/30.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e2 & ~ (all_57_0 = e3) & ~ (all_57_2
% 194.82/30.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2) & ~ (all_57_4 = e1) & ~ (all_57_6 =
% 194.82/30.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_11 = e3) & op(e3, all_57_1) =
% 194.82/30.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_0 & op(e3, all_57_3) = all_57_2 & op(e3,
% 194.82/30.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_5) = all_57_4 & op(e3, all_57_7) =
% 194.82/30.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_6 & op(e3, e3) = all_57_1 & op(e3, e2) =
% 194.82/30.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 & op(e3, e1) = all_57_5 & op(e3, e0) =
% 194.82/30.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7 & op(e2, e3) = e2 & op(e2, e2) =
% 194.82/30.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_11 & $i(all_57_0) & $i(all_57_1) &
% 194.82/30.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_2) & $i(all_57_3) & $i(all_57_4) &
% 194.82/30.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 194.82/30.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11))
% 194.82/30.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3698) gives:
% 194.82/30.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 194.82/30.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3699) (all_57_3 = e3 & ~ (all_57_1 = e2) & ~ (all_57_8
% 194.82/30.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_10 = e2) & ~ (all_57_12 =
% 194.82/30.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_14 = e0) & op(e3, e3) =
% 194.82/30.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e2) = e3 & op(e2, all_57_9) =
% 194.82/30.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_8 & op(e2, all_57_11) = all_57_10 &
% 194.82/30.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_13) = all_57_12 & op(e2,
% 194.82/30.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15) = all_57_14 & op(e2, e3) = all_57_9
% 194.82/30.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = all_57_11 & op(e2, e1) =
% 194.82/30.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_13 & op(e2, e0) = all_57_15 &
% 194.82/30.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_8) & $i(all_57_9) &
% 194.82/30.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & $i(all_57_11) & $i(all_57_12) &
% 194.82/30.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13) & $i(all_57_14) & $i(all_57_15)) |
% 194.82/30.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_5 = e3 & ~ (all_57_1 = e1) & ~
% 194.82/30.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_16 = e3) & ~ (all_57_18 = e2) & ~
% 194.82/30.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_22 = e0) & op(e3,
% 194.82/30.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_1 & op(e3, e1) = e3 & op(e1,
% 194.82/30.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17) = all_57_16 & op(e1, all_57_19) =
% 194.82/30.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_18 & op(e1, all_57_21) = all_57_20 &
% 194.82/30.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_23) = all_57_22 & op(e1, e3) =
% 194.82/30.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e1, e2) = all_57_19 & op(e1, e1)
% 194.82/30.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_21 & op(e1, e0) = all_57_23 &
% 194.82/30.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_16) & $i(all_57_17) &
% 194.82/30.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_19) & $i(all_57_20) &
% 194.82/30.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_22) & $i(all_57_23))
% 194.82/30.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (170), (2921), (3683), (3699), (function-axioms)
% 194.82/30.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1606.
% 194.82/30.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 194.82/30.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3700) (all_57_7 = e3 & ~ (all_57_1 = e0) & ~
% 194.82/30.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 194.82/30.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) & op(e3,
% 194.82/30.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_1 & op(e3, e0) = e3 & op(e0,
% 194.82/30.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25) = all_57_24 & op(e0, all_57_27) =
% 194.82/30.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e0, all_57_29) = all_57_28 &
% 194.82/30.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_31) = all_57_30 & op(e0, e3) =
% 194.82/30.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_27 & op(e0, e1)
% 194.82/30.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_29 & op(e0, e0) = all_57_31 &
% 194.82/30.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_24) & $i(all_57_25) &
% 194.82/30.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_27) & $i(all_57_28) &
% 194.82/30.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29) & $i(all_57_30) & $i(all_57_31)) |
% 194.82/30.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e2 & ~ (all_57_0 = e3) & ~ (all_57_2
% 194.82/30.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2) & ~ (all_57_4 = e1) & ~ (all_57_6 =
% 194.82/30.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_11 = e3) & op(e3, all_57_1) =
% 194.82/30.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_0 & op(e3, all_57_3) = all_57_2 & op(e3,
% 194.82/30.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_5) = all_57_4 & op(e3, all_57_7) =
% 194.82/30.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_6 & op(e3, e3) = all_57_1 & op(e3, e2) =
% 194.82/30.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 & op(e3, e1) = all_57_5 & op(e3, e0) =
% 194.82/30.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7 & op(e2, e3) = e2 & op(e2, e2) =
% 194.82/30.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_11 & $i(all_57_0) & $i(all_57_1) &
% 194.82/30.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_2) & $i(all_57_3) & $i(all_57_4) &
% 194.82/30.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 194.82/30.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11))
% 194.82/30.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (3620), (3679), (3700), (function-axioms) are
% 194.82/30.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1223.
% 194.82/30.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 194.82/30.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 194.82/30.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3701) (all_57_13 = e2 & ~ (all_57_11 = e1) & ~
% 194.82/30.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_16 = e3) & ~ (all_57_18 = e2) & ~
% 194.82/30.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_22 = e0) & op(e2,
% 194.82/30.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_11 & op(e2, e1) = e2 & op(e1,
% 194.82/30.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17) = all_57_16 & op(e1, all_57_19) =
% 194.82/30.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_18 & op(e1, all_57_21) = all_57_20 &
% 194.82/30.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_23) = all_57_22 & op(e1, e3) =
% 194.82/30.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e1, e2) = all_57_19 & op(e1, e1)
% 194.82/30.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_21 & op(e1, e0) = all_57_23 &
% 194.82/30.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_16) & $i(all_57_17) &
% 194.82/30.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_19) & $i(all_57_20) &
% 194.82/30.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_22) & $i(all_57_23)) |
% 194.82/30.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e2 & ~ (all_57_11 = e0) & ~
% 194.82/30.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 194.82/30.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) & op(e2,
% 194.82/30.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_11 & op(e2, e0) = e2 & op(e0,
% 194.82/30.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25) = all_57_24 & op(e0, all_57_27) =
% 194.82/30.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e0, all_57_29) = all_57_28 &
% 194.82/30.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_31) = all_57_30 & op(e0, e3) =
% 194.82/30.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_27 & op(e0, e1)
% 194.82/30.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_29 & op(e0, e0) = all_57_31 &
% 194.82/30.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_24) & $i(all_57_25) &
% 194.82/30.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_27) & $i(all_57_28) &
% 194.82/30.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29) & $i(all_57_30) & $i(all_57_31)) |
% 194.82/30.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_17 = e1 & ~ (all_57_0 = e3) & ~
% 194.82/30.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e2) & ~ (all_57_4 = e1) & ~
% 194.82/30.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_6 = e0) & ~ (all_57_21 = e3) & op(e3,
% 194.82/30.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1) = all_57_0 & op(e3, all_57_3) =
% 194.82/30.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_2 & op(e3, all_57_5) = all_57_4 & op(e3,
% 194.82/30.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7) = all_57_6 & op(e3, e3) = all_57_1 &
% 194.82/30.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_3 & op(e3, e1) = all_57_5 &
% 194.82/30.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_7 & op(e1, e3) = e1 & op(e1,
% 194.82/30.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_21 & $i(all_57_0) & $i(all_57_1)
% 194.82/30.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_2) & $i(all_57_3) & $i(all_57_4) &
% 194.82/30.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 194.82/30.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21)) | (all_57_19 = e1 & ~ (all_57_8
% 194.82/30.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_10 = e2) & ~ (all_57_12 =
% 194.82/30.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_14 = e0) & ~ (all_57_21 =
% 194.82/30.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & op(e2, all_57_9) = all_57_8 & op(e2,
% 194.82/30.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_11) = all_57_10 & op(e2, all_57_13) =
% 194.82/30.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & op(e2, all_57_15) = all_57_14 &
% 194.82/30.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_9 & op(e2, e2) = all_57_11 &
% 194.82/30.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_57_13 & op(e2, e0) = all_57_15
% 194.82/30.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e1 & op(e1, e1) = all_57_21 &
% 194.82/30.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8) & $i(all_57_9) & $i(all_57_10) &
% 194.82/30.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_12) & $i(all_57_13) &
% 194.82/30.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & $i(all_57_15) & $i(all_57_21)) |
% 194.82/30.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (op(e0, e0) = all_57_31 & $i(all_57_31) &
% 194.82/30.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_23 = e1 & ~ (all_57_21 = e0) & ~
% 194.82/30.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 194.82/30.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) &
% 194.82/30.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_21 & op(e1, e0) = e1 &
% 194.82/30.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_25) = all_57_24 & op(e0,
% 194.82/30.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27) = all_57_26 & op(e0, all_57_29)
% 194.82/30.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_28 & op(e0, all_57_31) = all_57_30
% 194.82/30.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e3) = all_57_25 & op(e0, e2) =
% 194.82/30.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27 & op(e0, e1) = all_57_29 &
% 194.82/30.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_24) &
% 194.82/30.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_25) & $i(all_57_26) &
% 194.82/30.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27) & $i(all_57_28) &
% 194.82/30.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29) & $i(all_57_30)) | (all_57_25
% 194.82/30.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & ~ (all_57_0 = e3) & ~ (all_57_2 =
% 194.82/30.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_4 = e1) & ~ (all_57_6 =
% 194.82/30.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_31 = e3) & op(e3,
% 194.82/30.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1) = all_57_0 & op(e3, all_57_3) =
% 194.82/30.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_2 & op(e3, all_57_5) = all_57_4 &
% 194.82/30.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, all_57_7) = all_57_6 & op(e3, e3) =
% 194.82/30.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e2) = all_57_3 & op(e3,
% 194.82/30.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_5 & op(e3, e0) = all_57_7 &
% 194.82/30.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_0) &
% 194.82/30.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_2) & $i(all_57_3) &
% 194.82/30.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4) & $i(all_57_5) & $i(all_57_6) &
% 194.82/30.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7)) | (all_57_27 = e0 & ~
% 194.82/30.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e3) & ~ (all_57_10 = e2) & ~
% 194.82/30.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e1) & ~ (all_57_14 = e0) & ~
% 194.82/30.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e2) & op(e2, all_57_9) =
% 194.82/30.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_8 & op(e2, all_57_11) = all_57_10 &
% 194.82/30.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_13) = all_57_12 & op(e2,
% 194.82/30.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15) = all_57_14 & op(e2, e3) =
% 194.82/30.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_9 & op(e2, e2) = all_57_11 & op(e2,
% 194.82/30.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_13 & op(e2, e0) = all_57_15 &
% 194.82/30.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_8) &
% 194.82/30.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9) & $i(all_57_10) & $i(all_57_11)
% 194.82/30.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_12) & $i(all_57_13) &
% 194.82/30.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & $i(all_57_15)) | (all_57_29
% 194.82/30.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & ~ (all_57_16 = e3) & ~ (all_57_18 =
% 194.82/30.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_20 = e1) & ~ (all_57_22
% 194.82/30.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_31 = e1) & op(e1,
% 194.82/30.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17) = all_57_16 & op(e1, all_57_19)
% 194.82/30.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_18 & op(e1, all_57_21) = all_57_20
% 194.82/30.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, all_57_23) = all_57_22 & op(e1, e3)
% 194.82/30.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_17 & op(e1, e2) = all_57_19 &
% 194.82/30.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_21 & op(e1, e0) =
% 194.82/30.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23 & op(e0, e1) = e0 & $i(all_57_16)
% 194.82/30.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_17) & $i(all_57_18) &
% 194.82/30.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_20) &
% 194.82/30.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_22) &
% 194.82/30.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23))))
% 194.82/30.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3701) gives:
% 194.82/30.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 194.82/30.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3702) (all_57_13 = e2 & ~ (all_57_11 = e1) & ~
% 194.82/30.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_16 = e3) & ~ (all_57_18 = e2) & ~
% 194.82/30.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_22 = e0) & op(e2,
% 194.82/30.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_11 & op(e2, e1) = e2 & op(e1,
% 194.82/30.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17) = all_57_16 & op(e1, all_57_19) =
% 194.82/30.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_18 & op(e1, all_57_21) = all_57_20 &
% 194.82/30.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_23) = all_57_22 & op(e1, e3) =
% 194.82/30.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e1, e2) = all_57_19 & op(e1, e1)
% 194.82/30.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_21 & op(e1, e0) = all_57_23 &
% 194.82/30.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_16) & $i(all_57_17) &
% 194.82/30.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_19) & $i(all_57_20) &
% 194.82/30.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_22) & $i(all_57_23)) |
% 194.82/30.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e2 & ~ (all_57_11 = e0) & ~
% 194.82/30.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 194.82/30.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) & op(e2,
% 194.82/30.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_11 & op(e2, e0) = e2 & op(e0,
% 194.82/30.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25) = all_57_24 & op(e0, all_57_27) =
% 194.82/30.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e0, all_57_29) = all_57_28 &
% 194.82/30.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_31) = all_57_30 & op(e0, e3) =
% 194.82/30.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_27 & op(e0, e1)
% 194.82/30.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_29 & op(e0, e0) = all_57_31 &
% 194.82/30.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_24) & $i(all_57_25) &
% 194.82/30.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_27) & $i(all_57_28) &
% 194.82/30.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29) & $i(all_57_30) & $i(all_57_31))
% 194.82/30.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3702) gives:
% 194.82/30.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 194.82/30.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3703) all_57_13 = e2 & ~ (all_57_11 = e1) & ~
% 194.82/30.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_16 = e3) & ~ (all_57_18 = e2) & ~
% 194.82/30.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_22 = e0) & op(e2,
% 194.82/30.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_11 & op(e2, e1) = e2 & op(e1,
% 194.82/30.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17) = all_57_16 & op(e1, all_57_19) =
% 194.82/30.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_18 & op(e1, all_57_21) = all_57_20 & op(e1,
% 194.82/30.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23) = all_57_22 & op(e1, e3) = all_57_17
% 194.82/30.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = all_57_19 & op(e1, e1) = all_57_21
% 194.82/30.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e0) = all_57_23 & $i(all_57_11) &
% 194.82/30.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_16) & $i(all_57_17) & $i(all_57_18) &
% 194.82/30.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_20) & $i(all_57_21) &
% 194.82/30.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_23)
% 194.82/30.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3703) implies:
% 194.82/30.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3704) ~ (all_57_22 = e0)
% 194.82/30.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3705) op(e1, e0) = all_57_23
% 194.82/30.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3706) op(e1, all_57_23) = all_57_22
% 194.82/30.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (160), (250), (3450), (3672), (3674), (3704),
% 194.82/30.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3705), (3706), (function-axioms) are inconsistent
% 194.82/30.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1765.
% 194.82/30.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 194.82/30.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3707) all_57_15 = e2 & ~ (all_57_11 = e0) & ~
% 194.82/30.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 194.82/30.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) & op(e2,
% 194.82/30.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_11 & op(e2, e0) = e2 & op(e0,
% 194.82/30.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25) = all_57_24 & op(e0, all_57_27) =
% 194.82/30.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e0, all_57_29) = all_57_28 & op(e0,
% 194.82/30.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_31) = all_57_30 & op(e0, e3) = all_57_25
% 194.82/30.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e2) = all_57_27 & op(e0, e1) = all_57_29
% 194.82/30.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = all_57_31 & $i(all_57_11) &
% 194.82/30.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_24) & $i(all_57_25) & $i(all_57_26) &
% 194.82/30.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27) & $i(all_57_28) & $i(all_57_29) &
% 194.82/30.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30) & $i(all_57_31)
% 194.82/30.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3707) implies:
% 194.82/30.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3708) ~ (all_57_11 = e0)
% 194.82/30.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3709) op(e2, e2) = all_57_11
% 194.82/30.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (1551), (3708), (3709), (function-axioms) are
% 194.82/30.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1482.
% 194.82/30.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 194.82/30.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 194.82/30.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3710) (all_57_17 = e1 & ~ (all_57_0 = e3) & ~
% 194.82/30.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e2) & ~ (all_57_4 = e1) & ~
% 194.82/30.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_6 = e0) & ~ (all_57_21 = e3) & op(e3,
% 194.82/30.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1) = all_57_0 & op(e3, all_57_3) =
% 194.82/30.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_2 & op(e3, all_57_5) = all_57_4 & op(e3,
% 194.82/30.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7) = all_57_6 & op(e3, e3) = all_57_1 &
% 194.82/30.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_3 & op(e3, e1) = all_57_5 &
% 194.82/30.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_7 & op(e1, e3) = e1 & op(e1,
% 194.82/30.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_21 & $i(all_57_0) & $i(all_57_1)
% 194.82/30.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_2) & $i(all_57_3) & $i(all_57_4) &
% 194.82/30.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 194.82/30.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21)) | (all_57_19 = e1 & ~ (all_57_8
% 194.82/30.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_10 = e2) & ~ (all_57_12 =
% 194.82/30.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_14 = e0) & ~ (all_57_21 =
% 194.82/30.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & op(e2, all_57_9) = all_57_8 & op(e2,
% 194.82/30.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_11) = all_57_10 & op(e2, all_57_13) =
% 194.82/30.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & op(e2, all_57_15) = all_57_14 &
% 194.82/30.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_9 & op(e2, e2) = all_57_11 &
% 194.82/30.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_57_13 & op(e2, e0) = all_57_15
% 194.82/30.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e1 & op(e1, e1) = all_57_21 &
% 194.82/30.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8) & $i(all_57_9) & $i(all_57_10) &
% 194.82/30.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_12) & $i(all_57_13) &
% 194.82/30.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & $i(all_57_15) & $i(all_57_21)) |
% 194.82/30.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (op(e0, e0) = all_57_31 & $i(all_57_31) &
% 194.82/30.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_23 = e1 & ~ (all_57_21 = e0) & ~
% 194.82/30.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 194.82/30.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) &
% 194.82/30.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_21 & op(e1, e0) = e1 &
% 194.82/30.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_25) = all_57_24 & op(e0,
% 194.82/30.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27) = all_57_26 & op(e0, all_57_29)
% 194.82/30.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_28 & op(e0, all_57_31) = all_57_30
% 194.82/30.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e3) = all_57_25 & op(e0, e2) =
% 194.82/30.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27 & op(e0, e1) = all_57_29 &
% 194.82/30.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_24) &
% 194.82/30.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_25) & $i(all_57_26) &
% 194.82/30.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27) & $i(all_57_28) &
% 194.82/30.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29) & $i(all_57_30)) | (all_57_25
% 194.82/30.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & ~ (all_57_0 = e3) & ~ (all_57_2 =
% 194.82/30.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_4 = e1) & ~ (all_57_6 =
% 194.82/30.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_31 = e3) & op(e3,
% 194.82/30.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1) = all_57_0 & op(e3, all_57_3) =
% 194.82/30.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_2 & op(e3, all_57_5) = all_57_4 &
% 194.82/30.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, all_57_7) = all_57_6 & op(e3, e3) =
% 194.82/30.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e2) = all_57_3 & op(e3,
% 194.82/30.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_5 & op(e3, e0) = all_57_7 &
% 194.82/30.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_0) &
% 194.82/30.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_2) & $i(all_57_3) &
% 194.82/30.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4) & $i(all_57_5) & $i(all_57_6) &
% 194.82/30.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7)) | (all_57_27 = e0 & ~
% 194.82/30.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e3) & ~ (all_57_10 = e2) & ~
% 194.82/30.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e1) & ~ (all_57_14 = e0) & ~
% 194.82/30.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e2) & op(e2, all_57_9) =
% 194.82/30.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_8 & op(e2, all_57_11) = all_57_10 &
% 194.82/30.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_13) = all_57_12 & op(e2,
% 194.82/30.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15) = all_57_14 & op(e2, e3) =
% 194.82/30.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_9 & op(e2, e2) = all_57_11 & op(e2,
% 194.82/30.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_13 & op(e2, e0) = all_57_15 &
% 194.82/30.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_8) &
% 194.82/30.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9) & $i(all_57_10) & $i(all_57_11)
% 194.82/30.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_12) & $i(all_57_13) &
% 194.82/30.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & $i(all_57_15)) | (all_57_29
% 194.82/30.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & ~ (all_57_16 = e3) & ~ (all_57_18 =
% 194.82/30.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_20 = e1) & ~ (all_57_22
% 194.82/30.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_31 = e1) & op(e1,
% 194.82/30.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17) = all_57_16 & op(e1, all_57_19)
% 194.82/30.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_18 & op(e1, all_57_21) = all_57_20
% 194.82/30.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, all_57_23) = all_57_22 & op(e1, e3)
% 194.82/30.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_17 & op(e1, e2) = all_57_19 &
% 194.82/30.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_21 & op(e1, e0) =
% 194.82/30.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23 & op(e0, e1) = e0 & $i(all_57_16)
% 194.82/30.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_17) & $i(all_57_18) &
% 194.82/30.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_20) &
% 194.82/30.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_22) &
% 194.82/30.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23))))
% 194.82/30.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3710) gives:
% 194.82/30.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 194.82/30.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3711) all_57_17 = e1 & ~ (all_57_0 = e3) & ~ (all_57_2
% 194.82/30.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2) & ~ (all_57_4 = e1) & ~ (all_57_6 = e0)
% 194.82/30.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_21 = e3) & op(e3, all_57_1) =
% 194.82/30.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_0 & op(e3, all_57_3) = all_57_2 & op(e3,
% 194.82/30.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_5) = all_57_4 & op(e3, all_57_7) =
% 194.82/30.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_6 & op(e3, e3) = all_57_1 & op(e3, e2) =
% 194.82/30.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 & op(e3, e1) = all_57_5 & op(e3, e0) =
% 194.82/30.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7 & op(e1, e3) = e1 & op(e1, e1) =
% 194.82/30.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_21 & $i(all_57_0) & $i(all_57_1) &
% 194.82/30.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_2) & $i(all_57_3) & $i(all_57_4) &
% 194.82/30.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 194.82/30.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21)
% 194.82/30.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3711) implies:
% 194.82/30.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3712) op(e1, e3) = e1
% 194.82/30.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (163), (2917), (2925), (3712), (function-axioms)
% 194.82/30.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1750.
% 194.82/30.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 194.82/30.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3713) (all_57_19 = e1 & ~ (all_57_8 = e3) & ~
% 194.82/30.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e2) & ~ (all_57_12 = e1) & ~
% 194.82/30.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e0) & ~ (all_57_21 = e2) & op(e2,
% 194.82/30.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_9) = all_57_8 & op(e2, all_57_11) =
% 194.82/30.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e2, all_57_13) = all_57_12 &
% 194.82/30.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_15) = all_57_14 & op(e2, e3) =
% 194.82/30.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_9 & op(e2, e2) = all_57_11 & op(e2, e1) =
% 194.82/30.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_13 & op(e2, e0) = all_57_15 & op(e1, e2)
% 194.82/30.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & op(e1, e1) = all_57_21 & $i(all_57_8) &
% 194.82/30.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9) & $i(all_57_10) & $i(all_57_11) &
% 194.82/30.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & $i(all_57_13) & $i(all_57_14) &
% 194.82/30.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & $i(all_57_21)) | (op(e0, e0) =
% 194.82/30.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_31 & $i(all_57_31) & ((all_57_23 = e1 &
% 194.82/30.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_21 = e0) & ~ (all_57_24 = e3) &
% 194.82/30.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_26 = e2) & ~ (all_57_28 = e1) &
% 194.82/30.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_30 = e0) & op(e1, e1) = all_57_21
% 194.82/30.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e0) = e1 & op(e0, all_57_25) =
% 194.82/30.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_24 & op(e0, all_57_27) = all_57_26 &
% 194.82/30.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_29) = all_57_28 & op(e0,
% 194.82/30.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_31) = all_57_30 & op(e0, e3) =
% 194.82/30.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_27 & op(e0,
% 194.82/30.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_29 & $i(all_57_21) &
% 194.82/30.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_24) & $i(all_57_25) &
% 194.82/30.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_27) &
% 194.82/30.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28) & $i(all_57_29) &
% 194.82/30.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_25 = e0 & ~
% 194.82/30.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_0 = e3) & ~ (all_57_2 = e2) & ~
% 194.82/30.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1) & ~ (all_57_6 = e0) & ~
% 194.82/30.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e3) & op(e3, all_57_1) =
% 194.82/30.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_0 & op(e3, all_57_3) = all_57_2 &
% 194.82/30.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, all_57_5) = all_57_4 & op(e3,
% 194.82/30.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7) = all_57_6 & op(e3, e3) =
% 194.82/30.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e2) = all_57_3 & op(e3,
% 194.82/30.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_5 & op(e3, e0) = all_57_7 &
% 194.82/30.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_0) &
% 194.82/30.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_2) & $i(all_57_3) &
% 194.82/30.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4) & $i(all_57_5) & $i(all_57_6) &
% 194.82/30.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7)) | (all_57_27 = e0 & ~
% 194.82/30.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e3) & ~ (all_57_10 = e2) & ~
% 194.82/30.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e1) & ~ (all_57_14 = e0) & ~
% 194.82/30.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e2) & op(e2, all_57_9) =
% 194.82/30.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_8 & op(e2, all_57_11) = all_57_10 &
% 194.82/30.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_13) = all_57_12 & op(e2,
% 194.82/30.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15) = all_57_14 & op(e2, e3) =
% 194.82/30.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_9 & op(e2, e2) = all_57_11 & op(e2,
% 194.82/30.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_13 & op(e2, e0) = all_57_15 &
% 194.82/30.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_8) &
% 194.82/30.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9) & $i(all_57_10) & $i(all_57_11)
% 194.82/30.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_12) & $i(all_57_13) &
% 194.82/30.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & $i(all_57_15)) | (all_57_29
% 194.82/30.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & ~ (all_57_16 = e3) & ~ (all_57_18 =
% 194.82/30.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_20 = e1) & ~ (all_57_22
% 194.82/30.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_31 = e1) & op(e1,
% 194.82/30.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17) = all_57_16 & op(e1, all_57_19)
% 194.82/30.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_18 & op(e1, all_57_21) = all_57_20
% 194.82/30.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, all_57_23) = all_57_22 & op(e1, e3)
% 194.82/30.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_17 & op(e1, e2) = all_57_19 &
% 194.82/30.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_21 & op(e1, e0) =
% 194.82/30.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23 & op(e0, e1) = e0 & $i(all_57_16)
% 194.82/30.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_17) & $i(all_57_18) &
% 194.82/30.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_20) &
% 194.82/30.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_22) &
% 194.82/30.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23))))
% 194.82/30.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3713) gives:
% 194.82/30.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 194.82/30.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3714) all_57_19 = e1 & ~ (all_57_8 = e3) & ~
% 194.82/30.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e2) & ~ (all_57_12 = e1) & ~
% 194.82/30.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e0) & ~ (all_57_21 = e2) & op(e2,
% 194.82/30.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_9) = all_57_8 & op(e2, all_57_11) =
% 194.82/30.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e2, all_57_13) = all_57_12 & op(e2,
% 194.82/30.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15) = all_57_14 & op(e2, e3) = all_57_9 &
% 194.82/30.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_11 & op(e2, e1) = all_57_13 &
% 194.82/30.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_15 & op(e1, e2) = e1 & op(e1,
% 194.82/30.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_21 & $i(all_57_8) & $i(all_57_9) &
% 194.82/30.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & $i(all_57_11) & $i(all_57_12) &
% 194.82/30.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13) & $i(all_57_14) & $i(all_57_15) &
% 194.82/30.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21)
% 194.82/30.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3714) implies:
% 194.82/30.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3715) ~ (all_57_8 = e3)
% 194.82/30.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3716) op(e2, e3) = all_57_9
% 194.82/30.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3717) op(e2, all_57_9) = all_57_8
% 194.82/30.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (3620), (3715), (3716), (3717), (function-axioms)
% 194.82/30.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1830.
% 194.82/30.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 194.82/30.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3718) op(e0, e0) = all_57_31 & $i(all_57_31) &
% 194.82/30.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_23 = e1 & ~ (all_57_21 = e0) & ~
% 194.82/30.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 194.82/30.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) &
% 194.82/30.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_21 & op(e1, e0) = e1 &
% 194.82/30.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_25) = all_57_24 & op(e0,
% 194.82/30.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27) = all_57_26 & op(e0, all_57_29) =
% 194.82/30.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_28 & op(e0, all_57_31) = all_57_30 &
% 194.82/30.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_25 & op(e0, e2) =
% 194.82/30.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27 & op(e0, e1) = all_57_29 &
% 194.82/30.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_24) & $i(all_57_25)
% 194.82/30.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_26) & $i(all_57_27) &
% 194.82/30.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28) & $i(all_57_29) & $i(all_57_30))
% 194.82/30.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_25 = e0 & ~ (all_57_0 = e3) & ~
% 194.82/30.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e2) & ~ (all_57_4 = e1) & ~
% 194.82/30.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_6 = e0) & ~ (all_57_31 = e3) & op(e3,
% 194.82/30.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1) = all_57_0 & op(e3, all_57_3) =
% 194.82/30.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_2 & op(e3, all_57_5) = all_57_4 &
% 194.82/30.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, all_57_7) = all_57_6 & op(e3, e3) =
% 194.82/30.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e2) = all_57_3 & op(e3, e1)
% 194.82/30.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_5 & op(e3, e0) = all_57_7 & op(e0,
% 194.82/30.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e0 & $i(all_57_0) & $i(all_57_1) &
% 194.82/30.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_2) & $i(all_57_3) & $i(all_57_4) &
% 194.82/30.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_6) & $i(all_57_7)) |
% 194.82/30.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_27 = e0 & ~ (all_57_8 = e3) & ~
% 194.82/30.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e2) & ~ (all_57_12 = e1) & ~
% 194.82/30.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e0) & ~ (all_57_31 = e2) &
% 194.82/30.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_9) = all_57_8 & op(e2,
% 194.82/30.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_11) = all_57_10 & op(e2, all_57_13) =
% 194.82/30.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & op(e2, all_57_15) = all_57_14 &
% 194.82/30.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_9 & op(e2, e2) = all_57_11
% 194.82/30.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = all_57_13 & op(e2, e0) =
% 194.82/30.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15 & op(e0, e2) = e0 & $i(all_57_8) &
% 194.82/30.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9) & $i(all_57_10) & $i(all_57_11) &
% 194.82/30.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & $i(all_57_13) & $i(all_57_14)
% 194.82/30.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_15)) | (all_57_29 = e0 & ~
% 194.82/30.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_16 = e3) & ~ (all_57_18 = e2) & ~
% 194.82/30.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_22 = e0) & ~
% 194.82/30.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e1) & op(e1, all_57_17) =
% 194.82/30.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_16 & op(e1, all_57_19) = all_57_18 &
% 194.82/30.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_21) = all_57_20 & op(e1,
% 194.82/30.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23) = all_57_22 & op(e1, e3) =
% 194.82/30.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e1, e2) = all_57_19 & op(e1,
% 194.82/30.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_21 & op(e1, e0) = all_57_23 &
% 194.82/30.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_16) &
% 194.82/30.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_17) & $i(all_57_18) & $i(all_57_19)
% 194.82/30.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_20) & $i(all_57_21) &
% 194.82/30.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_23)))
% 194.82/30.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3718) implies:
% 194.82/30.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3719) (all_57_23 = e1 & ~ (all_57_21 = e0) & ~
% 194.82/30.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 194.82/30.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) & op(e1,
% 194.82/30.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_21 & op(e1, e0) = e1 & op(e0,
% 194.82/30.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25) = all_57_24 & op(e0, all_57_27) =
% 194.82/30.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e0, all_57_29) = all_57_28 &
% 194.82/30.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_31) = all_57_30 & op(e0, e3) =
% 194.82/30.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_27 & op(e0, e1)
% 194.82/30.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_29 & $i(all_57_21) & $i(all_57_24) &
% 194.82/30.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_25) & $i(all_57_26) & $i(all_57_27) &
% 194.82/30.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28) & $i(all_57_29) & $i(all_57_30)) |
% 194.82/30.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_25 = e0 & ~ (all_57_0 = e3) & ~
% 194.82/30.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e2) & ~ (all_57_4 = e1) & ~
% 194.82/30.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_6 = e0) & ~ (all_57_31 = e3) & op(e3,
% 194.82/30.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1) = all_57_0 & op(e3, all_57_3) =
% 194.82/30.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_2 & op(e3, all_57_5) = all_57_4 & op(e3,
% 194.82/30.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7) = all_57_6 & op(e3, e3) = all_57_1 &
% 194.82/30.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_3 & op(e3, e1) = all_57_5 &
% 194.82/30.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_7 & op(e0, e3) = e0 &
% 194.82/30.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_0) & $i(all_57_1) & $i(all_57_2) &
% 194.82/30.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_3) & $i(all_57_4) & $i(all_57_5) &
% 194.82/30.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_6) & $i(all_57_7)) | (all_57_27 = e0 &
% 194.82/30.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_8 = e3) & ~ (all_57_10 = e2) & ~
% 194.82/30.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e1) & ~ (all_57_14 = e0) & ~
% 194.82/30.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e2) & op(e2, all_57_9) = all_57_8 &
% 194.82/30.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_11) = all_57_10 & op(e2,
% 194.82/30.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_13) = all_57_12 & op(e2, all_57_15) =
% 194.82/30.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_14 & op(e2, e3) = all_57_9 & op(e2, e2) =
% 194.82/30.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_11 & op(e2, e1) = all_57_13 & op(e2, e0)
% 194.82/30.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_15 & op(e0, e2) = e0 & $i(all_57_8) &
% 194.82/30.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9) & $i(all_57_10) & $i(all_57_11) &
% 194.82/30.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & $i(all_57_13) & $i(all_57_14) &
% 194.82/30.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15)) | (all_57_29 = e0 & ~ (all_57_16
% 194.82/30.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_18 = e2) & ~ (all_57_20 =
% 194.82/30.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_22 = e0) & ~ (all_57_31 =
% 194.82/30.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & op(e1, all_57_17) = all_57_16 & op(e1,
% 194.82/30.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_19) = all_57_18 & op(e1, all_57_21) =
% 194.82/30.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20 & op(e1, all_57_23) = all_57_22 &
% 194.82/30.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_17 & op(e1, e2) = all_57_19
% 194.82/30.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = all_57_21 & op(e1, e0) =
% 194.82/30.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23 & op(e0, e1) = e0 & $i(all_57_16) &
% 194.82/30.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_17) & $i(all_57_18) & $i(all_57_19) &
% 194.82/30.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_20) & $i(all_57_21) & $i(all_57_22) &
% 194.82/30.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23))
% 194.82/30.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (126), (158), (160), (258), (1545), (1546),
% 194.82/30.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3656), (3665), (3697), (3719), (function-axioms)
% 194.82/30.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1220.
% 194.82/30.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 194.82/30.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 194.82/30.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 194.82/30.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 194.82/30.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 194.82/30.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 194.82/30.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 194.82/30.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3720) all_56_5 = e0 & op(e2, e1) = e0
% 194.82/30.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3720) implies:
% 194.82/30.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3721) all_56_5 = e0
% 194.82/30.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (222), (223), (224),
% 194.82/30.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1551), (1561), (3619), (3721), (function-axioms)
% 194.82/30.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1468.
% 194.82/30.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 194.82/30.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 194.82/30.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3722) (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_14 =
% 194.82/30.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0)
% 194.82/30.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (157), (3598), (3635), (3722),
% 194.82/30.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 194.82/30.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1274.
% 194.82/30.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 194.82/30.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 194.82/30.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3723) all_54_13 = e2 | all_54_13 = e1 | all_54_13 = e0
% 194.82/30.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3723) gives:
% 194.82/30.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 194.82/30.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3724) all_54_13 = e2
% 194.82/30.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (1566), (3451), (3724) are inconsistent by
% 194.82/30.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1322.
% 194.82/30.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 194.82/30.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3725) all_54_13 = e1 | all_54_13 = e0
% 194.82/30.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (1566), (1573), (3678), (3725) are inconsistent by
% 194.82/30.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1219.
% 194.82/30.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 194.82/30.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 194.82/30.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 194.82/30.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3726) all_54_14 = e0
% 194.82/30.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (247), (3726) imply:
% 194.82/30.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3727) all_52_11 = e0
% 194.82/30.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3635), (3727) imply:
% 194.82/30.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3728) $false
% 194.82/30.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3728) is inconsistent.
% 194.82/30.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 194.82/30.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 194.82/30.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 194.82/30.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3729) all_54_7 = e0
% 194.82/30.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (3463), (3470), (3729) are inconsistent by
% 194.82/30.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1357.
% 194.82/30.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 194.82/30.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 194.82/30.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 194.82/30.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3730) all_56_3 = e2 & op(e2, e2) = e2
% 194.82/30.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3730) implies:
% 194.82/30.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3731) op(e2, e2) = e2
% 194.82/30.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (1551), (3731), (function-axioms) are
% 194.82/30.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1960.
% 194.82/30.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 194.82/30.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 194.82/30.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3732) (all_56_7 = e2 & op(e1, e2) = e2) | (all_56_13 =
% 194.82/30.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e2)
% 194.82/30.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (162), (1538), (3451), (3651), (3732),
% 194.82/30.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 194.82/30.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1347.
% 194.82/30.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 194.82/30.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 194.82/30.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 194.82/30.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 194.82/30.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 194.82/30.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3733) all_54_8 = e1 | all_54_8 = e0
% 194.82/30.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2931), (2940), (3637), (3733) are inconsistent by
% 194.82/30.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1218.
% 194.82/30.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 194.82/30.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 194.82/30.87 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.87 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 194.82/30.87 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.87 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 194.82/30.87 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.87 | | | | | | | | | | | | | | | | | | | | | | | | | | (3734) (all_56_14 = e3 & op(e0, e1) = e3) | (all_56_15 =
% 194.82/30.87 | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = e3)
% 194.82/30.87 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.87 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (157), (3453), (3595), (3734),
% 194.82/30.87 | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 194.82/30.87 | | | | | | | | | | | | | | | | | | | | | | | | | | #1837.
% 194.82/30.87 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.87 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 194.82/30.87 | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.87 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 194.82/30.87 | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.87 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 194.82/30.87 | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.87 | | | | | | | | | | | | | | | | | | | | | | End of split
% 194.82/30.87 | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.87 | | | | | | | | | | | | | | | | | | | | | End of split
% 194.82/30.87 | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.87 | | | | | | | | | | | | | | | | | | | | End of split
% 194.82/30.88 | | | | | | | | | | | | | | | | | | | |
% 194.82/30.88 | | | | | | | | | | | | | | | | | | | Case 2:
% 194.82/30.88 | | | | | | | | | | | | | | | | | | | |
% 194.82/30.88 | | | | | | | | | | | | | | | | | | | | (3735) all_56_3 = e3 & op(e2, e2) = e3
% 194.82/30.88 | | | | | | | | | | | | | | | | | | | |
% 194.82/30.88 | | | | | | | | | | | | | | | | | | | | ALPHA: (3735) implies:
% 194.82/30.88 | | | | | | | | | | | | | | | | | | | | (3736) op(e2, e2) = e3
% 194.82/30.88 | | | | | | | | | | | | | | | | | | | |
% 194.82/30.88 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (1551), (3736), (function-axioms) are
% 194.82/30.88 | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1661.
% 194.82/30.88 | | | | | | | | | | | | | | | | | | | |
% 194.82/30.88 | | | | | | | | | | | | | | | | | | | End of split
% 194.82/30.88 | | | | | | | | | | | | | | | | | | |
% 194.82/30.88 | | | | | | | | | | | | | | | | | | Case 2:
% 194.82/30.88 | | | | | | | | | | | | | | | | | | |
% 194.82/30.88 | | | | | | | | | | | | | | | | | | | (3737) (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 =
% 194.82/30.88 | | | | | | | | | | | | | | | | | | | e3 & op(e2, e0) = e3)
% 194.82/30.88 | | | | | | | | | | | | | | | | | | |
% 194.82/30.88 | | | | | | | | | | | | | | | | | | | BETA: splitting (3737) gives:
% 194.82/30.88 | | | | | | | | | | | | | | | | | | |
% 194.82/30.88 | | | | | | | | | | | | | | | | | | | Case 1:
% 194.82/30.88 | | | | | | | | | | | | | | | | | | | |
% 194.82/30.88 | | | | | | | | | | | | | | | | | | | | (3738) all_56_5 = e3 & op(e2, e1) = e3
% 194.82/30.88 | | | | | | | | | | | | | | | | | | | |
% 194.82/30.88 | | | | | | | | | | | | | | | | | | | | ALPHA: (3738) implies:
% 194.82/30.88 | | | | | | | | | | | | | | | | | | | | (3739) op(e2, e1) = e3
% 194.82/30.88 | | | | | | | | | | | | | | | | | | | |
% 194.82/30.88 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (3594), (3739), (function-axioms) are
% 194.82/30.88 | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1861.
% 194.82/30.88 | | | | | | | | | | | | | | | | | | | |
% 194.82/30.88 | | | | | | | | | | | | | | | | | | | Case 2:
% 194.82/30.88 | | | | | | | | | | | | | | | | | | | |
% 194.82/30.88 | | | | | | | | | | | | | | | | | | | | (3740) all_56_10 = e3 & op(e2, e0) = e3
% 194.82/30.88 | | | | | | | | | | | | | | | | | | | |
% 194.82/30.88 | | | | | | | | | | | | | | | | | | | | ALPHA: (3740) implies:
% 194.82/30.88 | | | | | | | | | | | | | | | | | | | | (3741) all_56_10 = e3
% 194.82/30.88 | | | | | | | | | | | | | | | | | | | |
% 194.82/30.88 | | | | | | | | | | | | | | | | | | | | BETA: splitting (197) gives:
% 194.82/30.88 | | | | | | | | | | | | | | | | | | | |
% 194.82/30.88 | | | | | | | | | | | | | | | | | | | | Case 1:
% 194.82/30.88 | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.88 | | | | | | | | | | | | | | | | | | | | | (3742) all_54_7 = e3
% 194.82/30.88 | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.88 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (3463), (3615), (3742) are inconsistent by
% 194.82/30.88 | | | | | | | | | | | | | | | | | | | | | sub-proof #1228.
% 194.82/30.88 | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.88 | | | | | | | | | | | | | | | | | | | | Case 2:
% 194.82/30.88 | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.88 | | | | | | | | | | | | | | | | | | | | | (3743) all_54_7 = e2 | all_54_7 = e1 | all_54_7 = e0
% 194.82/30.88 | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.88 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (222) gives:
% 194.82/30.88 | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.88 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 194.82/30.88 | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.88 | | | | | | | | | | | | | | | | | | | | | | (3744) (all_56_2 = e1 & op(e2, e3) = e1) | (all_56_3 = e1
% 194.82/30.88 | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1)
% 194.82/30.88 | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.88 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (157), (158), (162),
% 194.82/30.88 | | | | | | | | | | | | | | | | | | | | | | (165), (206), (207), (208), (209), (217), (218),
% 194.82/30.88 | | | | | | | | | | | | | | | | | | | | | | (222), (223), (224), (225), (226), (227), (228),
% 194.82/30.88 | | | | | | | | | | | | | | | | | | | | | | (229), (230), (233), (234), (235), (236), (1545),
% 194.82/30.88 | | | | | | | | | | | | | | | | | | | | | | (1546), (1551), (2921), (3453), (3592), (3594),
% 194.82/30.88 | | | | | | | | | | | | | | | | | | | | | | (3595), (3598), (3741), (3744), (function-axioms)
% 194.82/30.88 | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1215.
% 194.82/30.88 | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.88 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 194.82/30.88 | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.88 | | | | | | | | | | | | | | | | | | | | | | (3745) (all_56_5 = e1 & op(e2, e1) = e1) | (all_56_10 =
% 194.82/30.88 | | | | | | | | | | | | | | | | | | | | | | e1 & op(e2, e0) = e1)
% 194.82/30.88 | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.88 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3745) gives:
% 194.82/30.88 | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.88 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 194.82/30.88 | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.88 | | | | | | | | | | | | | | | | | | | | | | | (3746) all_56_5 = e1 & op(e2, e1) = e1
% 194.82/30.88 | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.88 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3746) implies:
% 194.82/30.88 | | | | | | | | | | | | | | | | | | | | | | | (3747) op(e2, e1) = e1
% 194.82/30.88 | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.88 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3743) gives:
% 194.82/30.88 | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.88 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 194.82/30.88 | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.88 | | | | | | | | | | | | | | | | | | | | | | | | (3748) all_54_7 = e2
% 194.82/30.88 | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.88 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (3463), (3469), (3748) are inconsistent by
% 194.82/30.88 | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1359.
% 194.82/30.88 | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.88 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 194.82/30.88 | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.88 | | | | | | | | | | | | | | | | | | | | | | | | (3749) all_54_7 = e1 | all_54_7 = e0
% 194.82/30.88 | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.88 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3749) gives:
% 194.82/30.88 | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.88 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 194.82/30.88 | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.88 | | | | | | | | | | | | | | | | | | | | | | | | | (3750) all_54_7 = e1
% 194.82/30.88 | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.88 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3463), (3750) imply:
% 194.82/30.88 | | | | | | | | | | | | | | | | | | | | | | | | | (3751) all_30_1 = e1
% 194.82/30.88 | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.88 | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3751) implies:
% 194.82/30.88 | | | | | | | | | | | | | | | | | | | | | | | | | (3752) all_30_1 = e1
% 194.82/30.88 | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.88 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3465), (3752) imply:
% 194.82/30.88 | | | | | | | | | | | | | | | | | | | | | | | | | (3753) ~ (all_52_9 = e1)
% 194.82/30.88 | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.88 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (3747), (3753), (function-axioms) are
% 194.82/30.88 | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1871.
% 194.82/30.88 | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.88 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 194.82/30.88 | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.88 | | | | | | | | | | | | | | | | | | | | | | | | | (3754) all_54_7 = e0
% 194.82/30.88 | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.88 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (3463), (3470), (3754) are inconsistent by
% 194.82/30.88 | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1357.
% 194.82/30.88 | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.88 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 194.82/30.88 | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.88 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 194.82/30.88 | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.88 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 194.82/30.88 | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.88 | | | | | | | | | | | | | | | | | | | | | | | (3755) all_56_10 = e1 & op(e2, e0) = e1
% 194.82/30.88 | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.88 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (3741), (3755) are inconsistent by sub-proof
% 194.82/30.88 | | | | | | | | | | | | | | | | | | | | | | | #1814.
% 194.82/30.88 | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.88 | | | | | | | | | | | | | | | | | | | | | | End of split
% 194.82/30.88 | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.88 | | | | | | | | | | | | | | | | | | | | | End of split
% 194.82/30.88 | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.88 | | | | | | | | | | | | | | | | | | | | End of split
% 194.82/30.88 | | | | | | | | | | | | | | | | | | | |
% 194.82/30.88 | | | | | | | | | | | | | | | | | | | End of split
% 194.82/30.88 | | | | | | | | | | | | | | | | | | |
% 194.82/30.88 | | | | | | | | | | | | | | | | | | End of split
% 194.82/30.88 | | | | | | | | | | | | | | | | | |
% 194.82/30.88 | | | | | | | | | | | | | | | | | Case 2:
% 194.82/30.88 | | | | | | | | | | | | | | | | | |
% 194.82/30.88 | | | | | | | | | | | | | | | | | | (3756) ~ (all_54_4 = e3)
% 194.82/30.88 | | | | | | | | | | | | | | | | | | (3757) all_54_4 = e2 | all_54_4 = e1 | all_54_4 = e0
% 194.82/30.88 | | | | | | | | | | | | | | | | | |
% 194.82/30.88 | | | | | | | | | | | | | | | | | | REDUCE: (269), (3756) imply:
% 194.82/30.88 | | | | | | | | | | | | | | | | | | (3758) ~ (all_52_1 = e3)
% 194.82/30.88 | | | | | | | | | | | | | | | | | |
% 194.82/30.88 | | | | | | | | | | | | | | | | | | BETA: splitting (3757) gives:
% 194.82/30.88 | | | | | | | | | | | | | | | | | |
% 194.82/30.88 | | | | | | | | | | | | | | | | | | Case 1:
% 194.82/30.88 | | | | | | | | | | | | | | | | | | |
% 194.82/30.88 | | | | | | | | | | | | | | | | | | | (3759) all_54_4 = e2
% 194.82/30.88 | | | | | | | | | | | | | | | | | | |
% 194.82/30.88 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (269), (3759) imply:
% 194.82/30.88 | | | | | | | | | | | | | | | | | | | (3760) all_52_1 = e2
% 194.82/30.88 | | | | | | | | | | | | | | | | | | |
% 194.82/30.88 | | | | | | | | | | | | | | | | | | | REDUCE: (148), (3760) imply:
% 194.82/30.88 | | | | | | | | | | | | | | | | | | | (3761) ~ (all_52_3 = e2)
% 194.82/30.88 | | | | | | | | | | | | | | | | | | |
% 194.82/30.88 | | | | | | | | | | | | | | | | | | | REDUCE: (146), (3760) imply:
% 194.82/30.88 | | | | | | | | | | | | | | | | | | | (3762) ~ (all_52_9 = e2)
% 194.82/30.88 | | | | | | | | | | | | | | | | | | |
% 194.82/30.88 | | | | | | | | | | | | | | | | | | | SIMP: (3762) implies:
% 194.82/30.88 | | | | | | | | | | | | | | | | | | | (3763) ~ (all_52_9 = e2)
% 194.82/30.88 | | | | | | | | | | | | | | | | | | |
% 194.82/30.88 | | | | | | | | | | | | | | | | | | | REDUCE: (2932), (3760) imply:
% 194.82/30.88 | | | | | | | | | | | | | | | | | | | (3764) ~ (all_28_1 = e2)
% 194.82/30.88 | | | | | | | | | | | | | | | | | | |
% 194.82/30.88 | | | | | | | | | | | | | | | | | | | SIMP: (3764) implies:
% 194.82/30.88 | | | | | | | | | | | | | | | | | | | (3765) ~ (all_28_1 = e2)
% 194.82/30.88 | | | | | | | | | | | | | | | | | | |
% 194.82/30.88 | | | | | | | | | | | | | | | | | | | REDUCE: (167), (3760) imply:
% 194.82/30.88 | | | | | | | | | | | | | | | | | | | (3766) op(e2, e3) = e2
% 194.82/30.88 | | | | | | | | | | | | | | | | | | |
% 194.82/30.88 | | | | | | | | | | | | | | | | | | | BETA: splitting (196) gives:
% 194.82/30.88 | | | | | | | | | | | | | | | | | | |
% 194.82/30.88 | | | | | | | | | | | | | | | | | | | Case 1:
% 194.82/30.88 | | | | | | | | | | | | | | | | | | | |
% 194.82/30.88 | | | | | | | | | | | | | | | | | | | | (3767) all_54_8 = e3
% 194.82/30.88 | | | | | | | | | | | | | | | | | | | |
% 194.82/30.88 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2931), (3597), (3767) are inconsistent by
% 194.82/30.88 | | | | | | | | | | | | | | | | | | | | sub-proof #1609.
% 194.82/30.88 | | | | | | | | | | | | | | | | | | | |
% 194.82/30.88 | | | | | | | | | | | | | | | | | | | Case 2:
% 194.82/30.88 | | | | | | | | | | | | | | | | | | | |
% 194.82/30.88 | | | | | | | | | | | | | | | | | | | | (3768) ~ (all_54_8 = e3)
% 194.82/30.88 | | | | | | | | | | | | | | | | | | | | (3769) all_54_8 = e2 | all_54_8 = e1 | all_54_8 = e0
% 194.82/30.88 | | | | | | | | | | | | | | | | | | | |
% 194.82/30.88 | | | | | | | | | | | | | | | | | | | | BETA: splitting (224) gives:
% 194.82/30.88 | | | | | | | | | | | | | | | | | | | |
% 194.82/30.88 | | | | | | | | | | | | | | | | | | | | Case 1:
% 194.82/30.88 | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.88 | | | | | | | | | | | | | | | | | | | | | (3770) (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3
% 194.82/30.88 | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e3)
% 194.82/30.88 | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.88 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (9), (1551), (3766), (3770),
% 194.82/30.88 | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 194.82/30.88 | | | | | | | | | | | | | | | | | | | | | #1284.
% 194.82/30.88 | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.88 | | | | | | | | | | | | | | | | | | | | Case 2:
% 194.82/30.88 | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.88 | | | | | | | | | | | | | | | | | | | | | (3771) (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 =
% 194.82/30.88 | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e0) = e3)
% 194.82/30.88 | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.88 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3771) gives:
% 194.82/30.88 | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.88 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 194.82/30.88 | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.88 | | | | | | | | | | | | | | | | | | | | | | (3772) all_56_5 = e3 & op(e2, e1) = e3
% 194.82/30.88 | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.88 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3772) implies:
% 194.82/30.88 | | | | | | | | | | | | | | | | | | | | | | (3773) op(e2, e1) = e3
% 194.82/30.88 | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.88 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (3594), (3773), (function-axioms) are
% 194.82/30.88 | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1861.
% 194.82/30.88 | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.88 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 194.82/30.88 | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.88 | | | | | | | | | | | | | | | | | | | | | | (3774) all_56_10 = e3 & op(e2, e0) = e3
% 194.82/30.88 | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.88 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3774) implies:
% 194.82/30.88 | | | | | | | | | | | | | | | | | | | | | | (3775) all_56_10 = e3
% 194.82/30.88 | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.88 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (215) gives:
% 194.82/30.88 | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.88 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 194.82/30.88 | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.88 | | | | | | | | | | | | | | | | | | | | | | | (3776) (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_7 = e2
% 194.82/30.88 | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e2)
% 194.82/30.88 | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.88 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3776) gives:
% 194.82/30.88 | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.88 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 194.82/30.88 | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.88 | | | | | | | | | | | | | | | | | | | | | | | | (3777) all_56_6 = e2 & op(e1, e3) = e2
% 194.82/30.88 | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.88 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3777) implies:
% 194.82/30.88 | | | | | | | | | | | | | | | | | | | | | | | | (3778) all_56_6 = e2
% 194.82/30.88 | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.88 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (213) gives:
% 194.82/30.88 | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.88 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 194.82/30.88 | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.88 | | | | | | | | | | | | | | | | | | | | | | | | | (3779) (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_7 = e0
% 194.82/30.88 | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e0)
% 194.82/30.88 | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.88 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (162), (1545), (3778), (3779),
% 194.82/30.88 | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 194.82/30.88 | | | | | | | | | | | | | | | | | | | | | | | | | #1251.
% 194.82/30.88 | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.88 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 194.82/30.88 | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.88 | | | | | | | | | | | | | | | | | | | | | | | | | (3780) (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_11 =
% 194.82/30.88 | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e1, e0) = e0)
% 194.82/30.88 | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.88 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3780) gives:
% 194.82/30.88 | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.88 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 194.82/30.88 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.88 | | | | | | | | | | | | | | | | | | | | | | | | | | (3781) all_56_8 = e0 & op(e1, e1) = e0
% 194.82/30.88 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.88 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3781) implies:
% 194.82/30.88 | | | | | | | | | | | | | | | | | | | | | | | | | | (3782) op(e1, e1) = e0
% 194.82/30.88 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.88 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (3598), (3782), (function-axioms) are
% 194.82/30.88 | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1918.
% 194.82/30.88 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.88 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 194.82/30.88 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.88 | | | | | | | | | | | | | | | | | | | | | | | | | | (3783) all_56_11 = e0 & op(e1, e0) = e0
% 194.82/30.88 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.88 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3783) implies:
% 194.82/30.88 | | | | | | | | | | | | | | | | | | | | | | | | | | (3784) op(e1, e0) = e0
% 194.82/30.88 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.88 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (222) gives:
% 194.82/30.88 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.88 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 194.82/30.88 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3785) (all_56_2 = e1 & op(e2, e3) = e1) | (all_56_3 = e1
% 194.82/30.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1)
% 194.82/30.88 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (157), (158), (162),
% 194.82/30.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | (165), (206), (207), (208), (209), (217), (218),
% 194.82/30.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | (222), (223), (224), (225), (226), (227), (228),
% 194.82/30.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | (229), (230), (233), (234), (235), (236), (1545),
% 194.82/30.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1546), (1551), (2921), (3453), (3592), (3594),
% 194.82/30.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3595), (3598), (3775), (3785), (function-axioms)
% 194.82/30.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1215.
% 194.82/30.88 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.88 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 194.82/30.88 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3786) (all_56_5 = e1 & op(e2, e1) = e1) | (all_56_10 =
% 194.82/30.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e2, e0) = e1)
% 194.82/30.88 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3786) gives:
% 194.82/30.88 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 194.82/30.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3787) all_56_5 = e1 & op(e2, e1) = e1
% 194.82/30.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3787) implies:
% 194.82/30.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3788) all_56_5 = e1
% 194.82/30.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (214) gives:
% 194.82/30.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 194.82/30.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3789) (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_7 = e1
% 194.82/30.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e1)
% 194.82/30.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3789) gives:
% 194.82/30.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 194.82/30.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3790) all_56_6 = e1 & op(e1, e3) = e1
% 194.82/30.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3790) implies:
% 194.82/30.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3791) op(e1, e3) = e1
% 194.82/30.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (163), (2917), (2925), (3791), (function-axioms)
% 194.82/30.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1750.
% 194.82/30.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 194.82/30.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3792) all_56_7 = e1 & op(e1, e2) = e1
% 194.82/30.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3792) implies:
% 194.82/30.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3793) all_56_7 = e1
% 194.82/30.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3794) op(e1, e2) = e1
% 194.82/30.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (227) gives:
% 194.82/30.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 194.82/30.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3795) (all_56_1 = e2 & op(e3, e2) = e2) | (all_56_3 = e2
% 194.82/30.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e2)
% 194.82/30.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3795) gives:
% 194.82/30.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 194.82/30.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3796) all_56_1 = e2 & op(e3, e2) = e2
% 194.82/30.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3796) implies:
% 194.82/30.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3797) all_56_1 = e2
% 194.82/30.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3798) op(e3, e2) = e2
% 194.82/30.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (210) gives:
% 194.82/30.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 194.82/30.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3799) (all_56_9 = e1 & op(e3, e0) = e1) | (all_56_10 =
% 194.82/30.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e2, e0) = e1)
% 194.82/30.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3799) gives:
% 194.82/30.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 194.82/30.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3800) all_56_9 = e1 & op(e3, e0) = e1
% 194.82/30.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3800) implies:
% 194.82/30.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3801) all_56_9 = e1
% 194.82/30.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (8), (9), (230), (236), (2921),
% 194.82/30.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3797), (3798), (3801), (function-axioms) are
% 194.82/30.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1237.
% 194.82/30.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 194.82/30.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3802) all_56_10 = e1 & op(e2, e0) = e1
% 194.82/30.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3802) implies:
% 194.82/30.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3803) all_56_10 = e1
% 194.82/30.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (7), (8), (9), (223), (224), (1551),
% 194.82/30.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3788), (3803), (function-axioms) are inconsistent
% 194.82/30.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1450.
% 194.82/30.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 194.82/30.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 194.82/30.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3804) (all_56_11 = e1 & op(e1, e0) = e1) | (all_56_15 =
% 194.82/30.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = e1)
% 194.82/30.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3804) gives:
% 194.82/30.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 194.82/30.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3805) all_56_11 = e1 & op(e1, e0) = e1
% 194.82/30.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3805) implies:
% 194.82/30.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3806) op(e1, e0) = e1
% 194.82/30.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (3784), (3806), (function-axioms) are
% 194.82/30.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1577.
% 194.82/30.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 194.82/30.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3807) all_56_15 = e1 & op(e0, e0) = e1
% 194.82/30.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3807) implies:
% 194.82/30.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3808) op(e0, e0) = e1
% 194.82/30.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (158), (159), (160),
% 194.82/30.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (162), (164), (169), (196), (211), (212), (213),
% 194.82/30.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (222), (223), (224), (225), (226), (227), (228),
% 194.82/30.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (229), (230), (232), (236), (1545), (1546),
% 194.82/30.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1551), (2921), (2931), (2934), (2940), (3449),
% 194.82/30.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3593), (3596), (3597), (3598), (3765), (3778),
% 194.82/30.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3788), (3793), (3794), (3808), (function-axioms)
% 194.82/30.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1249.
% 194.82/30.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 194.82/30.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 194.82/30.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 194.82/30.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3809) all_56_3 = e2 & op(e2, e2) = e2
% 194.82/30.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3809) implies:
% 194.82/30.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3810) op(e2, e2) = e2
% 194.82/30.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (1551), (3810), (function-axioms) are
% 194.82/30.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1960.
% 194.82/30.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 194.82/30.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 194.82/30.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3811) (all_56_7 = e2 & op(e1, e2) = e2) | (all_56_13 =
% 194.82/30.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e2)
% 194.82/30.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (1538), (3451), (3794), (3811),
% 194.82/30.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 194.82/30.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1334.
% 194.82/30.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 194.82/30.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 194.82/30.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 194.82/30.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3812) (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_11 =
% 194.82/30.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e1, e0) = e1)
% 194.82/30.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (8), (3598), (3784), (3812),
% 194.82/30.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 194.82/30.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1576.
% 194.82/30.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 194.82/30.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 194.82/30.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3813) all_56_10 = e1 & op(e2, e0) = e1
% 194.82/30.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (3775), (3813) are inconsistent by sub-proof
% 194.82/30.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1814.
% 194.82/30.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 194.82/30.88 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.88 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 194.82/30.88 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.88 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 194.82/30.88 | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.88 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 194.82/30.88 | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.88 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 194.82/30.88 | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.88 | | | | | | | | | | | | | | | | | | | | | | | | (3814) all_56_7 = e2 & op(e1, e2) = e2
% 194.82/30.88 | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.88 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3814) implies:
% 194.82/30.88 | | | | | | | | | | | | | | | | | | | | | | | | (3815) all_56_7 = e2
% 194.82/30.88 | | | | | | | | | | | | | | | | | | | | | | | | (3816) op(e1, e2) = e2
% 194.82/30.88 | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.88 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (214) gives:
% 194.82/30.88 | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.88 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 194.82/30.88 | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.88 | | | | | | | | | | | | | | | | | | | | | | | | | (3817) (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_7 = e1
% 194.82/30.88 | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e1)
% 194.82/30.88 | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.88 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3817) gives:
% 194.82/30.88 | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.88 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 194.82/30.88 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.88 | | | | | | | | | | | | | | | | | | | | | | | | | | (3818) all_56_6 = e1 & op(e1, e3) = e1
% 194.82/30.88 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.88 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3818) implies:
% 194.82/30.88 | | | | | | | | | | | | | | | | | | | | | | | | | | (3819) op(e1, e3) = e1
% 194.82/30.88 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.88 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (163), (2917), (2925), (3819), (function-axioms)
% 194.82/30.88 | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1750.
% 194.82/30.88 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.88 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 194.82/30.88 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.88 | | | | | | | | | | | | | | | | | | | | | | | | | | (3820) all_56_7 = e1 & op(e1, e2) = e1
% 194.82/30.88 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.88 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3820) implies:
% 194.82/30.88 | | | | | | | | | | | | | | | | | | | | | | | | | | (3821) op(e1, e2) = e1
% 194.82/30.88 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.88 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (3816), (3821), (function-axioms) are
% 194.82/30.88 | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1426.
% 194.82/30.88 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.88 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 194.82/30.88 | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.88 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 194.82/30.88 | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.88 | | | | | | | | | | | | | | | | | | | | | | | | | (3822) (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_11 =
% 194.82/30.88 | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e1, e0) = e1)
% 194.82/30.88 | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.88 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3822) gives:
% 194.82/30.88 | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.88 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 194.82/30.88 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.88 | | | | | | | | | | | | | | | | | | | | | | | | | | (3823) all_56_8 = e1 & op(e1, e1) = e1
% 194.82/30.88 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.88 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3823) implies:
% 194.82/30.88 | | | | | | | | | | | | | | | | | | | | | | | | | | (3824) op(e1, e1) = e1
% 194.82/30.88 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.88 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (3598), (3824), (function-axioms) are
% 194.82/30.88 | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1958.
% 194.82/30.88 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.88 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 194.82/30.88 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.88 | | | | | | | | | | | | | | | | | | | | | | | | | | (3825) all_56_11 = e1 & op(e1, e0) = e1
% 194.82/30.88 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.88 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3825) implies:
% 194.82/30.88 | | | | | | | | | | | | | | | | | | | | | | | | | | (3826) op(e1, e0) = e1
% 194.82/30.88 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.88 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (222) gives:
% 194.82/30.88 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.88 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 194.82/30.88 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3827) (all_56_2 = e1 & op(e2, e3) = e1) | (all_56_3 = e1
% 194.82/30.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1)
% 194.82/30.88 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (157), (158), (162),
% 194.82/30.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | (165), (206), (207), (208), (209), (217), (218),
% 194.82/30.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | (222), (223), (224), (225), (226), (227), (228),
% 194.82/30.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | (229), (230), (233), (234), (235), (236), (1545),
% 194.82/30.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1546), (1551), (2921), (3453), (3592), (3594),
% 194.82/30.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3595), (3598), (3775), (3827), (function-axioms)
% 194.82/30.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1215.
% 194.82/30.88 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.88 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 194.82/30.88 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3828) (all_56_5 = e1 & op(e2, e1) = e1) | (all_56_10 =
% 194.82/30.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e2, e0) = e1)
% 194.82/30.89 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3828) gives:
% 194.82/30.89 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 194.82/30.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3829) all_56_5 = e1 & op(e2, e1) = e1
% 194.82/30.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3829) implies:
% 194.82/30.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3830) op(e2, e1) = e1
% 194.82/30.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (213) gives:
% 194.82/30.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 194.82/30.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3831) (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_7 = e0
% 194.82/30.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e0)
% 194.82/30.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3831) gives:
% 194.82/30.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 194.82/30.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3832) all_56_6 = e0 & op(e1, e3) = e0
% 194.82/30.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3832) implies:
% 194.82/30.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3833) all_56_6 = e0
% 194.82/30.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3834) op(e1, e3) = e0
% 194.82/30.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3769) gives:
% 194.82/30.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 194.82/30.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3835) all_54_8 = e2
% 194.82/30.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2931), (3765), (3835) are inconsistent by
% 194.82/30.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1608.
% 194.82/30.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 194.82/30.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3836) ~ (all_54_8 = e2)
% 194.82/30.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3837) all_54_8 = e1 | all_54_8 = e0
% 194.82/30.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (230) gives:
% 194.82/30.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 194.82/30.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3838) (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_1 = e0
% 194.82/30.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e0)
% 194.82/30.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3838) gives:
% 194.82/30.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 194.82/30.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3839) all_56_0 = e0 & op(e3, e3) = e0
% 194.82/30.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3839) implies:
% 194.82/30.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3840) op(e3, e3) = e0
% 194.82/30.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (2921), (3840), (function-axioms) are
% 194.82/30.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1834.
% 194.82/30.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 194.82/30.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3841) all_56_1 = e0 & op(e3, e2) = e0
% 194.82/30.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3841) implies:
% 194.82/30.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3842) all_56_1 = e0
% 194.82/30.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (7), (8), (9), (226), (228), (1551),
% 194.82/30.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3815), (3842), (function-axioms) are inconsistent
% 194.82/30.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1502.
% 194.82/30.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 194.82/30.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 194.82/30.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3843) (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_9 = e0
% 194.82/30.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e0)
% 194.82/30.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3843) gives:
% 194.82/30.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 194.82/30.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3844) all_56_4 = e0 & op(e3, e1) = e0
% 194.82/30.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3844) implies:
% 194.82/30.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3845) op(e3, e1) = e0
% 194.82/30.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (9), (118), (148), (157), (159), (165),
% 194.82/30.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (167), (190), (192), (200), (222), (224), (229),
% 194.82/30.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (233), (235), (247), (249), (269), (1551), (2913),
% 194.82/30.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2916), (2918), (2921), (2926), (2930), (2932),
% 194.82/30.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2934), (3588), (3589), (3594), (3595), (3597),
% 194.82/30.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3608), (3833), (3834), (3845), (function-axioms)
% 194.82/30.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1275.
% 194.82/30.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 194.82/30.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3846) all_56_9 = e0 & op(e3, e0) = e0
% 194.82/30.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3846) implies:
% 194.82/30.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3847) op(e3, e0) = e0
% 194.82/30.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3837) gives:
% 194.82/30.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 194.82/30.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3848) all_54_8 = e1
% 194.82/30.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2931), (2940), (3848) are inconsistent by
% 194.82/30.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1607.
% 194.82/30.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 194.82/30.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3849) all_54_8 = e0
% 194.82/30.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2931), (3849) imply:
% 194.82/30.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3850) all_28_1 = e0
% 194.82/30.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3850) implies:
% 194.82/30.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3851) all_28_1 = e0
% 194.82/30.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2934), (3851) imply:
% 194.82/30.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3852) ~ (all_52_3 = e0)
% 194.82/30.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (192) gives:
% 194.82/30.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 194.82/30.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3853) all_54_12 = e3
% 194.82/30.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (249), (3853) imply:
% 194.82/30.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3854) all_52_3 = e3
% 194.82/30.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1567), (3854) imply:
% 194.82/30.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3855) ~ (all_20_1 = e3)
% 194.82/30.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3855) implies:
% 194.82/30.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3856) ~ (all_20_1 = e3)
% 194.82/30.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (159), (3854) imply:
% 194.82/30.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3857) op(e0, e3) = e3
% 194.82/30.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (191) gives:
% 194.82/30.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 194.82/30.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3858) all_54_13 = e3
% 194.82/30.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (1566), (3856), (3858) are inconsistent by
% 194.82/30.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1214.
% 194.82/30.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 194.82/30.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3859) all_54_13 = e2 | all_54_13 = e1 | all_54_13 = e0
% 194.82/30.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3859) gives:
% 194.82/30.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 194.82/30.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3860) all_54_13 = e2
% 194.82/30.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (1566), (3451), (3860) are inconsistent by
% 194.82/30.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1322.
% 194.82/30.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 194.82/30.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3861) all_54_13 = e1 | all_54_13 = e0
% 194.82/30.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3861) gives:
% 194.82/30.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 194.82/30.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3862) all_54_13 = e1
% 194.82/30.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1566), (3862) imply:
% 194.82/30.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3863) all_20_1 = e1
% 194.82/30.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3863) implies:
% 194.82/30.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3864) all_20_1 = e1
% 194.82/30.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1565), (3864) imply:
% 194.82/30.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3865) all_26_1 = e1
% 194.82/30.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1569), (3864) imply:
% 194.82/30.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3866) ~ (all_52_6 = e1)
% 194.82/30.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1538), (3864) imply:
% 194.82/30.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3867) op(e0, e2) = e1
% 194.82/30.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (238) gives:
% 194.82/30.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 194.82/30.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3868) (all_57_3 = e3 & ~ (all_57_1 = e2) & ~ (all_57_8
% 194.82/30.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_10 = e2) & ~ (all_57_12 =
% 194.82/30.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_14 = e0) & op(e3, e3) =
% 194.82/30.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e2) = e3 & op(e2, all_57_9) =
% 194.82/30.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_8 & op(e2, all_57_11) = all_57_10 &
% 194.82/30.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_13) = all_57_12 & op(e2,
% 194.82/30.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15) = all_57_14 & op(e2, e3) = all_57_9
% 194.82/30.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = all_57_11 & op(e2, e1) =
% 194.82/30.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_13 & op(e2, e0) = all_57_15 &
% 194.82/30.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_8) & $i(all_57_9) &
% 194.82/30.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & $i(all_57_11) & $i(all_57_12) &
% 194.82/30.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13) & $i(all_57_14) & $i(all_57_15)) |
% 194.82/30.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_5 = e3 & ~ (all_57_1 = e1) & ~
% 194.82/30.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_16 = e3) & ~ (all_57_18 = e2) & ~
% 194.82/30.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_22 = e0) & op(e3,
% 194.82/30.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_1 & op(e3, e1) = e3 & op(e1,
% 194.82/30.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17) = all_57_16 & op(e1, all_57_19) =
% 194.82/30.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_18 & op(e1, all_57_21) = all_57_20 &
% 194.82/30.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_23) = all_57_22 & op(e1, e3) =
% 194.82/30.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e1, e2) = all_57_19 & op(e1, e1)
% 194.82/30.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_21 & op(e1, e0) = all_57_23 &
% 194.82/30.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_16) & $i(all_57_17) &
% 194.82/30.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_19) & $i(all_57_20) &
% 194.82/30.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_22) & $i(all_57_23)) |
% 194.82/30.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_7 = e3 & ~ (all_57_1 = e0) & ~
% 194.82/30.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 194.82/30.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) & op(e3,
% 194.82/30.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_1 & op(e3, e0) = e3 & op(e0,
% 194.82/30.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25) = all_57_24 & op(e0, all_57_27) =
% 194.82/30.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e0, all_57_29) = all_57_28 &
% 194.82/30.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_31) = all_57_30 & op(e0, e3) =
% 194.82/30.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_27 & op(e0, e1)
% 194.82/30.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_29 & op(e0, e0) = all_57_31 &
% 194.82/30.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_24) & $i(all_57_25) &
% 194.82/30.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_27) & $i(all_57_28) &
% 194.82/30.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29) & $i(all_57_30) & $i(all_57_31)) |
% 194.82/30.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e2 & ~ (all_57_0 = e3) & ~ (all_57_2
% 194.82/30.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2) & ~ (all_57_4 = e1) & ~ (all_57_6 =
% 194.82/30.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_11 = e3) & op(e3, all_57_1) =
% 194.82/30.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_0 & op(e3, all_57_3) = all_57_2 & op(e3,
% 194.82/30.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_5) = all_57_4 & op(e3, all_57_7) =
% 194.82/30.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_6 & op(e3, e3) = all_57_1 & op(e3, e2) =
% 194.82/30.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 & op(e3, e1) = all_57_5 & op(e3, e0) =
% 194.82/30.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7 & op(e2, e3) = e2 & op(e2, e2) =
% 194.82/30.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_11 & $i(all_57_0) & $i(all_57_1) &
% 194.82/30.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_2) & $i(all_57_3) & $i(all_57_4) &
% 194.82/30.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 194.82/30.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11))
% 194.82/30.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (196), (2921), (2931), (3597), (3765), (3830),
% 194.82/30.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3847), (3857), (3868), (function-axioms) are
% 194.82/30.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1244.
% 194.82/30.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 194.82/30.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3869) (all_57_13 = e2 & ~ (all_57_11 = e1) & ~
% 194.82/30.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_16 = e3) & ~ (all_57_18 = e2) & ~
% 194.82/30.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_22 = e0) & op(e2,
% 194.82/30.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_11 & op(e2, e1) = e2 & op(e1,
% 194.82/30.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17) = all_57_16 & op(e1, all_57_19) =
% 194.82/30.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_18 & op(e1, all_57_21) = all_57_20 &
% 194.82/30.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_23) = all_57_22 & op(e1, e3) =
% 194.82/30.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e1, e2) = all_57_19 & op(e1, e1)
% 194.82/30.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_21 & op(e1, e0) = all_57_23 &
% 194.82/30.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_16) & $i(all_57_17) &
% 194.82/30.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_19) & $i(all_57_20) &
% 194.82/30.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_22) & $i(all_57_23)) |
% 194.82/30.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e2 & ~ (all_57_11 = e0) & ~
% 194.82/30.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 194.82/30.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) & op(e2,
% 194.82/30.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_11 & op(e2, e0) = e2 & op(e0,
% 194.82/30.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25) = all_57_24 & op(e0, all_57_27) =
% 194.82/30.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e0, all_57_29) = all_57_28 &
% 194.82/30.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_31) = all_57_30 & op(e0, e3) =
% 194.82/30.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_27 & op(e0, e1)
% 194.82/30.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_29 & op(e0, e0) = all_57_31 &
% 194.82/30.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_24) & $i(all_57_25) &
% 194.82/30.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_27) & $i(all_57_28) &
% 194.82/30.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29) & $i(all_57_30) & $i(all_57_31)) |
% 194.82/30.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_17 = e1 & ~ (all_57_0 = e3) & ~
% 194.82/30.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e2) & ~ (all_57_4 = e1) & ~
% 194.82/30.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_6 = e0) & ~ (all_57_21 = e3) & op(e3,
% 194.82/30.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1) = all_57_0 & op(e3, all_57_3) =
% 194.82/30.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_2 & op(e3, all_57_5) = all_57_4 & op(e3,
% 194.82/30.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7) = all_57_6 & op(e3, e3) = all_57_1 &
% 194.82/30.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_3 & op(e3, e1) = all_57_5 &
% 194.82/30.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_7 & op(e1, e3) = e1 & op(e1,
% 194.82/30.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_21 & $i(all_57_0) & $i(all_57_1)
% 194.82/30.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_2) & $i(all_57_3) & $i(all_57_4) &
% 194.82/30.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 194.82/30.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21)) | (all_57_19 = e1 & ~ (all_57_8
% 194.82/30.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_10 = e2) & ~ (all_57_12 =
% 194.82/30.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_14 = e0) & ~ (all_57_21 =
% 194.82/30.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & op(e2, all_57_9) = all_57_8 & op(e2,
% 194.82/30.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_11) = all_57_10 & op(e2, all_57_13) =
% 194.82/30.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & op(e2, all_57_15) = all_57_14 &
% 194.82/30.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_9 & op(e2, e2) = all_57_11 &
% 194.82/30.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_57_13 & op(e2, e0) = all_57_15
% 194.82/30.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e1 & op(e1, e1) = all_57_21 &
% 194.82/30.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8) & $i(all_57_9) & $i(all_57_10) &
% 194.82/30.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_12) & $i(all_57_13) &
% 194.82/30.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & $i(all_57_15) & $i(all_57_21)) |
% 194.82/30.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (op(e0, e0) = all_57_31 & $i(all_57_31) &
% 194.82/30.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_23 = e1 & ~ (all_57_21 = e0) & ~
% 194.82/30.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 194.82/30.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) &
% 194.82/30.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_21 & op(e1, e0) = e1 &
% 194.82/30.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_25) = all_57_24 & op(e0,
% 194.82/30.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27) = all_57_26 & op(e0, all_57_29)
% 194.82/30.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_28 & op(e0, all_57_31) = all_57_30
% 194.82/30.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e3) = all_57_25 & op(e0, e2) =
% 194.82/30.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27 & op(e0, e1) = all_57_29 &
% 194.82/30.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_24) &
% 194.82/30.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_25) & $i(all_57_26) &
% 194.82/30.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27) & $i(all_57_28) &
% 194.82/30.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29) & $i(all_57_30)) | (all_57_25
% 194.82/30.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & ~ (all_57_0 = e3) & ~ (all_57_2 =
% 194.82/30.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_4 = e1) & ~ (all_57_6 =
% 194.82/30.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_31 = e3) & op(e3,
% 194.82/30.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1) = all_57_0 & op(e3, all_57_3) =
% 194.82/30.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_2 & op(e3, all_57_5) = all_57_4 &
% 194.82/30.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, all_57_7) = all_57_6 & op(e3, e3) =
% 194.82/30.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e2) = all_57_3 & op(e3,
% 194.82/30.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_5 & op(e3, e0) = all_57_7 &
% 194.82/30.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_0) &
% 194.82/30.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_2) & $i(all_57_3) &
% 194.82/30.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4) & $i(all_57_5) & $i(all_57_6) &
% 194.82/30.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7)) | (all_57_27 = e0 & ~
% 194.82/30.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e3) & ~ (all_57_10 = e2) & ~
% 194.82/30.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e1) & ~ (all_57_14 = e0) & ~
% 194.82/30.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e2) & op(e2, all_57_9) =
% 194.82/30.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_8 & op(e2, all_57_11) = all_57_10 &
% 194.82/30.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_13) = all_57_12 & op(e2,
% 194.82/30.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15) = all_57_14 & op(e2, e3) =
% 194.82/30.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_9 & op(e2, e2) = all_57_11 & op(e2,
% 194.82/30.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_13 & op(e2, e0) = all_57_15 &
% 194.82/30.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_8) &
% 194.82/30.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9) & $i(all_57_10) & $i(all_57_11)
% 194.82/30.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_12) & $i(all_57_13) &
% 194.82/30.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & $i(all_57_15)) | (all_57_29
% 194.82/30.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & ~ (all_57_16 = e3) & ~ (all_57_18 =
% 194.82/30.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_20 = e1) & ~ (all_57_22
% 194.82/30.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_31 = e1) & op(e1,
% 194.82/30.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17) = all_57_16 & op(e1, all_57_19)
% 194.82/30.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_18 & op(e1, all_57_21) = all_57_20
% 194.82/30.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, all_57_23) = all_57_22 & op(e1, e3)
% 194.82/30.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_17 & op(e1, e2) = all_57_19 &
% 194.82/30.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_21 & op(e1, e0) =
% 194.82/30.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23 & op(e0, e1) = e0 & $i(all_57_16)
% 194.82/30.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_17) & $i(all_57_18) &
% 194.82/30.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_20) &
% 194.82/30.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_22) &
% 194.82/30.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23))))
% 194.82/30.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3869) gives:
% 194.82/30.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 194.82/30.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3870) (all_57_13 = e2 & ~ (all_57_11 = e1) & ~
% 194.82/30.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_16 = e3) & ~ (all_57_18 = e2) & ~
% 194.82/30.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_22 = e0) & op(e2,
% 194.82/30.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_11 & op(e2, e1) = e2 & op(e1,
% 194.82/30.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17) = all_57_16 & op(e1, all_57_19) =
% 194.82/30.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_18 & op(e1, all_57_21) = all_57_20 &
% 194.82/30.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_23) = all_57_22 & op(e1, e3) =
% 194.82/30.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e1, e2) = all_57_19 & op(e1, e1)
% 194.82/30.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_21 & op(e1, e0) = all_57_23 &
% 194.82/30.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_16) & $i(all_57_17) &
% 194.82/30.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_19) & $i(all_57_20) &
% 194.82/30.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_22) & $i(all_57_23)) |
% 194.82/30.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e2 & ~ (all_57_11 = e0) & ~
% 194.82/30.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 194.82/30.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) & op(e2,
% 194.82/30.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_11 & op(e2, e0) = e2 & op(e0,
% 194.82/30.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25) = all_57_24 & op(e0, all_57_27) =
% 194.82/30.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e0, all_57_29) = all_57_28 &
% 194.82/30.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_31) = all_57_30 & op(e0, e3) =
% 194.82/30.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_27 & op(e0, e1)
% 194.82/30.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_29 & op(e0, e0) = all_57_31 &
% 194.82/30.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_24) & $i(all_57_25) &
% 194.82/30.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_27) & $i(all_57_28) &
% 194.82/30.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29) & $i(all_57_30) & $i(all_57_31))
% 194.82/30.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (1551), (3763), (3870), (function-axioms)
% 194.82/30.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1213.
% 194.82/30.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 194.82/30.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3871) (all_57_17 = e1 & ~ (all_57_0 = e3) & ~
% 194.82/30.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e2) & ~ (all_57_4 = e1) & ~
% 194.82/30.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_6 = e0) & ~ (all_57_21 = e3) & op(e3,
% 194.82/30.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1) = all_57_0 & op(e3, all_57_3) =
% 194.82/30.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_2 & op(e3, all_57_5) = all_57_4 & op(e3,
% 194.82/30.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7) = all_57_6 & op(e3, e3) = all_57_1 &
% 194.82/30.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_3 & op(e3, e1) = all_57_5 &
% 194.82/30.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_7 & op(e1, e3) = e1 & op(e1,
% 194.82/30.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_21 & $i(all_57_0) & $i(all_57_1)
% 194.82/30.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_2) & $i(all_57_3) & $i(all_57_4) &
% 194.82/30.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 194.82/30.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21)) | (all_57_19 = e1 & ~ (all_57_8
% 194.82/30.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_10 = e2) & ~ (all_57_12 =
% 194.82/30.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_14 = e0) & ~ (all_57_21 =
% 194.82/30.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & op(e2, all_57_9) = all_57_8 & op(e2,
% 194.82/30.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_11) = all_57_10 & op(e2, all_57_13) =
% 194.82/30.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & op(e2, all_57_15) = all_57_14 &
% 194.82/30.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_9 & op(e2, e2) = all_57_11 &
% 194.82/30.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_57_13 & op(e2, e0) = all_57_15
% 194.82/30.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e1 & op(e1, e1) = all_57_21 &
% 194.82/30.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8) & $i(all_57_9) & $i(all_57_10) &
% 194.82/30.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_12) & $i(all_57_13) &
% 194.82/30.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & $i(all_57_15) & $i(all_57_21)) |
% 194.82/30.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (op(e0, e0) = all_57_31 & $i(all_57_31) &
% 194.82/30.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_23 = e1 & ~ (all_57_21 = e0) & ~
% 194.82/30.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 194.82/30.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) &
% 194.82/30.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_21 & op(e1, e0) = e1 &
% 194.82/30.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_25) = all_57_24 & op(e0,
% 194.82/30.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27) = all_57_26 & op(e0, all_57_29)
% 194.82/30.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_28 & op(e0, all_57_31) = all_57_30
% 194.82/30.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e3) = all_57_25 & op(e0, e2) =
% 194.82/30.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27 & op(e0, e1) = all_57_29 &
% 194.82/30.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_24) &
% 194.82/30.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_25) & $i(all_57_26) &
% 194.82/30.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27) & $i(all_57_28) &
% 194.82/30.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29) & $i(all_57_30)) | (all_57_25
% 194.82/30.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & ~ (all_57_0 = e3) & ~ (all_57_2 =
% 194.82/30.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_4 = e1) & ~ (all_57_6 =
% 194.82/30.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_31 = e3) & op(e3,
% 194.82/30.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1) = all_57_0 & op(e3, all_57_3) =
% 194.82/30.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_2 & op(e3, all_57_5) = all_57_4 &
% 194.82/30.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, all_57_7) = all_57_6 & op(e3, e3) =
% 194.82/30.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e2) = all_57_3 & op(e3,
% 194.82/30.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_5 & op(e3, e0) = all_57_7 &
% 194.82/30.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_0) &
% 194.82/30.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_2) & $i(all_57_3) &
% 194.82/30.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4) & $i(all_57_5) & $i(all_57_6) &
% 194.82/30.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7)) | (all_57_27 = e0 & ~
% 194.82/30.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e3) & ~ (all_57_10 = e2) & ~
% 194.82/30.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e1) & ~ (all_57_14 = e0) & ~
% 194.82/30.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e2) & op(e2, all_57_9) =
% 194.82/30.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_8 & op(e2, all_57_11) = all_57_10 &
% 194.82/30.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_13) = all_57_12 & op(e2,
% 194.82/30.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15) = all_57_14 & op(e2, e3) =
% 194.82/30.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_9 & op(e2, e2) = all_57_11 & op(e2,
% 194.82/30.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_13 & op(e2, e0) = all_57_15 &
% 194.82/30.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_8) &
% 194.82/30.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9) & $i(all_57_10) & $i(all_57_11)
% 194.82/30.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_12) & $i(all_57_13) &
% 194.82/30.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & $i(all_57_15)) | (all_57_29
% 194.82/30.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & ~ (all_57_16 = e3) & ~ (all_57_18 =
% 194.82/30.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_20 = e1) & ~ (all_57_22
% 194.82/30.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_31 = e1) & op(e1,
% 194.82/30.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17) = all_57_16 & op(e1, all_57_19)
% 194.82/30.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_18 & op(e1, all_57_21) = all_57_20
% 194.82/30.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, all_57_23) = all_57_22 & op(e1, e3)
% 194.82/30.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_17 & op(e1, e2) = all_57_19 &
% 194.82/30.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_21 & op(e1, e0) =
% 194.82/30.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23 & op(e0, e1) = e0 & $i(all_57_16)
% 194.82/30.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_17) & $i(all_57_18) &
% 194.82/30.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_20) &
% 194.82/30.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_22) &
% 194.82/30.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23))))
% 194.82/30.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3871) gives:
% 194.82/30.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 194.82/30.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3872) all_57_17 = e1 & ~ (all_57_0 = e3) & ~ (all_57_2
% 194.82/30.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2) & ~ (all_57_4 = e1) & ~ (all_57_6 = e0)
% 194.82/30.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_21 = e3) & op(e3, all_57_1) =
% 194.82/30.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_0 & op(e3, all_57_3) = all_57_2 & op(e3,
% 194.82/30.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_5) = all_57_4 & op(e3, all_57_7) =
% 194.82/30.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_6 & op(e3, e3) = all_57_1 & op(e3, e2) =
% 194.82/30.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 & op(e3, e1) = all_57_5 & op(e3, e0) =
% 194.82/30.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7 & op(e1, e3) = e1 & op(e1, e1) =
% 194.82/30.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_21 & $i(all_57_0) & $i(all_57_1) &
% 194.82/30.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_2) & $i(all_57_3) & $i(all_57_4) &
% 194.82/30.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 194.82/30.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21)
% 194.82/30.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3872) implies:
% 194.82/30.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3873) ~ (all_57_6 = e0)
% 194.82/30.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3874) op(e3, e0) = all_57_7
% 194.82/30.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3875) op(e3, all_57_7) = all_57_6
% 194.82/30.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (3847), (3873), (3874), (3875), (function-axioms)
% 194.82/30.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1632.
% 194.82/30.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 194.82/30.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3876) (all_57_19 = e1 & ~ (all_57_8 = e3) & ~
% 194.82/30.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e2) & ~ (all_57_12 = e1) & ~
% 194.82/30.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e0) & ~ (all_57_21 = e2) & op(e2,
% 194.82/30.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_9) = all_57_8 & op(e2, all_57_11) =
% 194.82/30.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e2, all_57_13) = all_57_12 &
% 194.82/30.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_15) = all_57_14 & op(e2, e3) =
% 194.82/30.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_9 & op(e2, e2) = all_57_11 & op(e2, e1) =
% 194.82/30.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_13 & op(e2, e0) = all_57_15 & op(e1, e2)
% 194.82/30.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & op(e1, e1) = all_57_21 & $i(all_57_8) &
% 194.82/30.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9) & $i(all_57_10) & $i(all_57_11) &
% 194.82/30.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & $i(all_57_13) & $i(all_57_14) &
% 194.82/30.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & $i(all_57_21)) | (op(e0, e0) =
% 194.82/30.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_31 & $i(all_57_31) & ((all_57_23 = e1 &
% 194.82/30.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_21 = e0) & ~ (all_57_24 = e3) &
% 194.82/30.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_26 = e2) & ~ (all_57_28 = e1) &
% 194.82/30.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_30 = e0) & op(e1, e1) = all_57_21
% 194.82/30.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e0) = e1 & op(e0, all_57_25) =
% 194.82/30.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_24 & op(e0, all_57_27) = all_57_26 &
% 194.82/30.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_29) = all_57_28 & op(e0,
% 194.82/30.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_31) = all_57_30 & op(e0, e3) =
% 194.82/30.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_27 & op(e0,
% 194.82/30.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_29 & $i(all_57_21) &
% 194.82/30.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_24) & $i(all_57_25) &
% 194.82/30.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_27) &
% 194.82/30.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28) & $i(all_57_29) &
% 194.82/30.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_25 = e0 & ~
% 194.82/30.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_0 = e3) & ~ (all_57_2 = e2) & ~
% 194.82/30.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1) & ~ (all_57_6 = e0) & ~
% 194.82/30.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e3) & op(e3, all_57_1) =
% 194.82/30.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_0 & op(e3, all_57_3) = all_57_2 &
% 194.82/30.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, all_57_5) = all_57_4 & op(e3,
% 194.82/30.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7) = all_57_6 & op(e3, e3) =
% 194.82/30.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e2) = all_57_3 & op(e3,
% 194.82/30.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_5 & op(e3, e0) = all_57_7 &
% 194.82/30.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_0) &
% 194.82/30.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_2) & $i(all_57_3) &
% 194.82/30.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4) & $i(all_57_5) & $i(all_57_6) &
% 194.82/30.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7)) | (all_57_27 = e0 & ~
% 194.82/30.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e3) & ~ (all_57_10 = e2) & ~
% 194.82/30.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e1) & ~ (all_57_14 = e0) & ~
% 194.82/30.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e2) & op(e2, all_57_9) =
% 194.82/30.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_8 & op(e2, all_57_11) = all_57_10 &
% 194.82/30.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_13) = all_57_12 & op(e2,
% 194.82/30.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15) = all_57_14 & op(e2, e3) =
% 194.82/30.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_9 & op(e2, e2) = all_57_11 & op(e2,
% 194.82/30.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_13 & op(e2, e0) = all_57_15 &
% 194.82/30.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_8) &
% 194.82/30.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9) & $i(all_57_10) & $i(all_57_11)
% 194.82/30.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_12) & $i(all_57_13) &
% 194.82/30.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & $i(all_57_15)) | (all_57_29
% 194.82/30.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & ~ (all_57_16 = e3) & ~ (all_57_18 =
% 194.82/30.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_20 = e1) & ~ (all_57_22
% 194.82/30.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_31 = e1) & op(e1,
% 194.82/30.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17) = all_57_16 & op(e1, all_57_19)
% 194.82/30.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_18 & op(e1, all_57_21) = all_57_20
% 194.82/30.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, all_57_23) = all_57_22 & op(e1, e3)
% 194.82/30.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_17 & op(e1, e2) = all_57_19 &
% 194.82/30.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_21 & op(e1, e0) =
% 194.82/30.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23 & op(e0, e1) = e0 & $i(all_57_16)
% 194.82/30.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_17) & $i(all_57_18) &
% 194.82/30.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_20) &
% 194.82/30.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_22) &
% 194.82/30.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23))))
% 194.82/30.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3876) gives:
% 194.82/30.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 194.82/30.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3877) all_57_19 = e1 & ~ (all_57_8 = e3) & ~
% 194.82/30.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e2) & ~ (all_57_12 = e1) & ~
% 194.82/30.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e0) & ~ (all_57_21 = e2) & op(e2,
% 194.82/30.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_9) = all_57_8 & op(e2, all_57_11) =
% 194.82/30.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e2, all_57_13) = all_57_12 & op(e2,
% 194.82/30.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15) = all_57_14 & op(e2, e3) = all_57_9 &
% 194.82/30.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_11 & op(e2, e1) = all_57_13 &
% 194.82/30.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_15 & op(e1, e2) = e1 & op(e1,
% 194.82/30.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_21 & $i(all_57_8) & $i(all_57_9) &
% 194.82/30.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & $i(all_57_11) & $i(all_57_12) &
% 194.82/30.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13) & $i(all_57_14) & $i(all_57_15) &
% 194.82/30.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21)
% 194.82/30.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3877) implies:
% 194.82/30.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3878) op(e1, e2) = e1
% 194.82/30.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (162), (3866), (3878), (function-axioms) are
% 194.82/30.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1480.
% 194.82/30.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 194.82/30.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3879) op(e0, e0) = all_57_31 & $i(all_57_31) &
% 194.82/30.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_23 = e1 & ~ (all_57_21 = e0) & ~
% 194.82/30.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 194.82/30.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) &
% 194.82/30.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_21 & op(e1, e0) = e1 &
% 194.82/30.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_25) = all_57_24 & op(e0,
% 194.82/30.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27) = all_57_26 & op(e0, all_57_29) =
% 194.82/30.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_28 & op(e0, all_57_31) = all_57_30 &
% 194.82/30.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_25 & op(e0, e2) =
% 194.82/30.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27 & op(e0, e1) = all_57_29 &
% 194.82/30.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_24) & $i(all_57_25)
% 194.82/30.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_26) & $i(all_57_27) &
% 194.82/30.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28) & $i(all_57_29) & $i(all_57_30))
% 194.82/30.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_25 = e0 & ~ (all_57_0 = e3) & ~
% 194.82/30.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e2) & ~ (all_57_4 = e1) & ~
% 194.82/30.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_6 = e0) & ~ (all_57_31 = e3) & op(e3,
% 194.82/30.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1) = all_57_0 & op(e3, all_57_3) =
% 194.82/30.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_2 & op(e3, all_57_5) = all_57_4 &
% 194.82/30.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, all_57_7) = all_57_6 & op(e3, e3) =
% 194.82/30.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e2) = all_57_3 & op(e3, e1)
% 194.82/30.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_5 & op(e3, e0) = all_57_7 & op(e0,
% 194.82/30.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e0 & $i(all_57_0) & $i(all_57_1) &
% 194.82/30.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_2) & $i(all_57_3) & $i(all_57_4) &
% 194.82/30.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_6) & $i(all_57_7)) |
% 194.82/30.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_27 = e0 & ~ (all_57_8 = e3) & ~
% 194.82/30.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e2) & ~ (all_57_12 = e1) & ~
% 194.82/30.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e0) & ~ (all_57_31 = e2) &
% 194.82/30.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_9) = all_57_8 & op(e2,
% 194.82/30.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_11) = all_57_10 & op(e2, all_57_13) =
% 194.82/30.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & op(e2, all_57_15) = all_57_14 &
% 194.82/30.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_9 & op(e2, e2) = all_57_11
% 194.82/30.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = all_57_13 & op(e2, e0) =
% 194.82/30.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15 & op(e0, e2) = e0 & $i(all_57_8) &
% 194.82/30.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9) & $i(all_57_10) & $i(all_57_11) &
% 194.82/30.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & $i(all_57_13) & $i(all_57_14)
% 194.82/30.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_15)) | (all_57_29 = e0 & ~
% 194.82/30.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_16 = e3) & ~ (all_57_18 = e2) & ~
% 194.82/30.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_22 = e0) & ~
% 194.82/30.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e1) & op(e1, all_57_17) =
% 194.82/30.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_16 & op(e1, all_57_19) = all_57_18 &
% 194.82/30.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_21) = all_57_20 & op(e1,
% 194.82/30.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23) = all_57_22 & op(e1, e3) =
% 194.82/30.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e1, e2) = all_57_19 & op(e1,
% 194.82/30.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_21 & op(e1, e0) = all_57_23 &
% 194.82/30.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_16) &
% 194.82/30.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_17) & $i(all_57_18) & $i(all_57_19)
% 194.82/30.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_20) & $i(all_57_21) &
% 194.82/30.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_23)))
% 194.82/30.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3879) implies:
% 194.82/30.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3880) (all_57_23 = e1 & ~ (all_57_21 = e0) & ~
% 194.82/30.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 194.82/30.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) & op(e1,
% 194.82/30.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_21 & op(e1, e0) = e1 & op(e0,
% 194.82/30.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25) = all_57_24 & op(e0, all_57_27) =
% 194.82/30.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e0, all_57_29) = all_57_28 &
% 194.82/30.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_31) = all_57_30 & op(e0, e3) =
% 194.82/30.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_27 & op(e0, e1)
% 194.82/30.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_29 & $i(all_57_21) & $i(all_57_24) &
% 194.82/30.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_25) & $i(all_57_26) & $i(all_57_27) &
% 194.82/30.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28) & $i(all_57_29) & $i(all_57_30)) |
% 194.82/30.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_25 = e0 & ~ (all_57_0 = e3) & ~
% 194.82/30.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e2) & ~ (all_57_4 = e1) & ~
% 194.82/30.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_6 = e0) & ~ (all_57_31 = e3) & op(e3,
% 194.82/30.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1) = all_57_0 & op(e3, all_57_3) =
% 194.82/30.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_2 & op(e3, all_57_5) = all_57_4 & op(e3,
% 194.82/30.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7) = all_57_6 & op(e3, e3) = all_57_1 &
% 194.82/30.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_3 & op(e3, e1) = all_57_5 &
% 194.82/30.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_7 & op(e0, e3) = e0 &
% 194.82/30.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_0) & $i(all_57_1) & $i(all_57_2) &
% 194.82/30.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_3) & $i(all_57_4) & $i(all_57_5) &
% 194.82/30.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_6) & $i(all_57_7)) | (all_57_27 = e0 &
% 194.82/30.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_8 = e3) & ~ (all_57_10 = e2) & ~
% 194.82/30.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e1) & ~ (all_57_14 = e0) & ~
% 194.82/30.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e2) & op(e2, all_57_9) = all_57_8 &
% 194.82/30.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_11) = all_57_10 & op(e2,
% 194.82/30.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_13) = all_57_12 & op(e2, all_57_15) =
% 194.82/30.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_14 & op(e2, e3) = all_57_9 & op(e2, e2) =
% 194.82/30.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_11 & op(e2, e1) = all_57_13 & op(e2, e0)
% 194.82/30.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_15 & op(e0, e2) = e0 & $i(all_57_8) &
% 194.82/30.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9) & $i(all_57_10) & $i(all_57_11) &
% 194.82/30.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & $i(all_57_13) & $i(all_57_14) &
% 194.82/30.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15)) | (all_57_29 = e0 & ~ (all_57_16
% 194.82/30.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_18 = e2) & ~ (all_57_20 =
% 194.82/30.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_22 = e0) & ~ (all_57_31 =
% 194.82/30.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & op(e1, all_57_17) = all_57_16 & op(e1,
% 194.82/30.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_19) = all_57_18 & op(e1, all_57_21) =
% 194.82/30.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20 & op(e1, all_57_23) = all_57_22 &
% 194.82/30.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_17 & op(e1, e2) = all_57_19
% 194.82/30.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = all_57_21 & op(e1, e0) =
% 194.82/30.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23 & op(e0, e1) = e0 & $i(all_57_16) &
% 194.82/30.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_17) & $i(all_57_18) & $i(all_57_19) &
% 194.82/30.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_20) & $i(all_57_21) & $i(all_57_22) &
% 194.82/30.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23))
% 194.82/30.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (1556), (3816), (3847), (3857), (3865),
% 194.82/30.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3867), (3880), (function-axioms) are inconsistent
% 194.82/30.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1209.
% 194.82/30.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 194.82/30.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 194.82/30.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 194.82/30.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 194.82/30.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 194.82/30.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3881) all_54_13 = e0
% 194.82/30.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (1566), (1573), (3881) are inconsistent by
% 194.82/30.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1297.
% 194.82/30.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 194.82/30.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 194.82/30.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 194.82/30.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 194.82/30.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3882) all_54_12 = e2 | all_54_12 = e1 | all_54_12 = e0
% 194.82/30.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (249), (2918), (3446), (3852), (3882) are
% 194.82/30.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1208.
% 194.82/30.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 194.82/30.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 194.82/30.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 194.82/30.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 194.82/30.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 194.82/30.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 194.82/30.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3883) all_56_7 = e0 & op(e1, e2) = e0
% 194.82/30.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3883) implies:
% 194.82/30.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3884) op(e1, e2) = e0
% 194.82/30.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (162), (1545), (3884), (function-axioms) are
% 194.82/30.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1488.
% 194.82/30.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 194.82/30.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 194.82/30.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3885) (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_11 =
% 194.82/30.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e1, e0) = e0)
% 194.82/30.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (7), (3598), (3826), (3885),
% 194.82/30.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 194.82/30.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1207.
% 194.82/30.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 194.82/30.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 194.82/30.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3886) all_56_10 = e1 & op(e2, e0) = e1
% 194.82/30.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (3775), (3886) are inconsistent by sub-proof
% 194.82/30.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1814.
% 194.82/30.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 194.82/30.90 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.90 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 194.82/30.90 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.90 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 194.82/30.90 | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.90 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 194.82/30.90 | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.90 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 194.82/30.90 | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.90 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 194.82/30.90 | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.90 | | | | | | | | | | | | | | | | | | | | | | | (3887) (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_11 =
% 194.82/30.90 | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e1, e0) = e2)
% 194.82/30.90 | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.90 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (160), (3450), (3598), (3887),
% 194.82/30.90 | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 194.82/30.90 | | | | | | | | | | | | | | | | | | | | | | | #1353.
% 194.82/30.90 | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.90 | | | | | | | | | | | | | | | | | | | | | | End of split
% 194.82/30.90 | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.90 | | | | | | | | | | | | | | | | | | | | | End of split
% 194.82/30.90 | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.90 | | | | | | | | | | | | | | | | | | | | End of split
% 194.82/30.90 | | | | | | | | | | | | | | | | | | | |
% 194.82/30.90 | | | | | | | | | | | | | | | | | | | End of split
% 194.82/30.90 | | | | | | | | | | | | | | | | | | |
% 194.82/30.90 | | | | | | | | | | | | | | | | | | Case 2:
% 194.82/30.90 | | | | | | | | | | | | | | | | | | |
% 194.82/30.90 | | | | | | | | | | | | | | | | | | | (3888) all_54_4 = e1 | all_54_4 = e0
% 194.82/30.90 | | | | | | | | | | | | | | | | | | |
% 194.82/30.90 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (269), (1543), (2916), (3888) are inconsistent by
% 194.82/30.90 | | | | | | | | | | | | | | | | | | | sub-proof #1279.
% 194.82/30.90 | | | | | | | | | | | | | | | | | | |
% 194.82/30.90 | | | | | | | | | | | | | | | | | | End of split
% 194.82/30.90 | | | | | | | | | | | | | | | | | |
% 194.82/30.90 | | | | | | | | | | | | | | | | | End of split
% 194.82/30.90 | | | | | | | | | | | | | | | | |
% 194.82/30.90 | | | | | | | | | | | | | | | | End of split
% 194.82/30.90 | | | | | | | | | | | | | | | |
% 194.82/30.90 | | | | | | | | | | | | | | | End of split
% 194.82/30.90 | | | | | | | | | | | | | | |
% 194.82/30.90 | | | | | | | | | | | | | | End of split
% 194.82/30.90 | | | | | | | | | | | | | |
% 194.82/30.90 | | | | | | | | | | | | | End of split
% 194.82/30.90 | | | | | | | | | | | | |
% 194.82/30.90 | | | | | | | | | | | | End of split
% 194.82/30.90 | | | | | | | | | | | |
% 194.82/30.90 | | | | | | | | | | | End of split
% 194.82/30.90 | | | | | | | | | | |
% 194.82/30.90 | | | | | | | | | | End of split
% 194.82/30.90 | | | | | | | | | |
% 194.82/30.90 | | | | | | | | | Case 2:
% 194.82/30.90 | | | | | | | | | |
% 194.82/30.90 | | | | | | | | | | (3889) (all_56_5 = e0 & op(e2, e1) = e0) | (all_56_10 =
% 194.82/30.90 | | | | | | | | | | e0 & op(e2, e0) = e0)
% 194.82/30.90 | | | | | | | | | |
% 194.82/30.90 | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (158), (162), (164),
% 194.82/30.90 | | | | | | | | | | (222), (223), (224), (225), (226), (227), (228),
% 194.82/30.90 | | | | | | | | | | (1545), (1546), (1548), (1551), (3889),
% 194.82/30.90 | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 194.82/30.90 | | | | | | | | | | #1206.
% 194.82/30.90 | | | | | | | | | |
% 194.82/30.90 | | | | | | | | | End of split
% 194.82/30.90 | | | | | | | | |
% 194.82/30.90 | | | | | | | | End of split
% 194.82/30.90 | | | | | | | |
% 194.82/30.90 | | | | | | | End of split
% 194.82/30.90 | | | | | | |
% 194.82/30.90 | | | | | | Case 2:
% 194.82/30.90 | | | | | | |
% 194.82/30.90 | | | | | | | (3890) all_16_2 = e3
% 194.82/30.90 | | | | | | | (3891) op(e3, e2) = all_16_1 & $i(all_16_1) & ( ~ (all_16_1 =
% 194.82/30.90 | | | | | | | e1) | ( ~ (all_16_0 = e0) & op(e1, e3) = all_16_0 &
% 194.82/30.90 | | | | | | | $i(all_16_0)))
% 194.82/30.90 | | | | | | |
% 194.82/30.90 | | | | | | | ALPHA: (3891) implies:
% 194.82/30.90 | | | | | | | (3892) op(e3, e2) = all_16_1
% 194.82/30.90 | | | | | | |
% 194.82/30.90 | | | | | | | COMBINE_EQS: (328), (3890) imply:
% 194.82/30.90 | | | | | | | (3893) all_6_2 = e3
% 194.82/30.90 | | | | | | |
% 194.82/30.90 | | | | | | | COMBINE_EQS: (332), (3893) imply:
% 194.82/30.90 | | | | | | | (3894) all_38_2 = e3
% 194.82/30.90 | | | | | | |
% 194.82/30.90 | | | | | | | REDUCE: (348), (3893) imply:
% 194.82/30.90 | | | | | | | (3895) ~ (all_52_1 = e3)
% 194.82/30.90 | | | | | | |
% 194.82/30.90 | | | | | | | REDUCE: (351), (3893) imply:
% 194.82/30.90 | | | | | | | (3896) ~ (all_52_4 = e3)
% 194.82/30.90 | | | | | | |
% 194.82/30.90 | | | | | | | REDUCE: (353), (3893) imply:
% 194.82/30.90 | | | | | | | (3897) ~ (all_52_6 = e3)
% 194.82/30.90 | | | | | | |
% 194.82/30.90 | | | | | | | REDUCE: (357), (3893) imply:
% 194.82/30.90 | | | | | | | (3898) ~ (all_52_9 = e3)
% 194.82/30.90 | | | | | | |
% 194.82/30.90 | | | | | | | REDUCE: (359), (3893) imply:
% 194.82/30.90 | | | | | | | (3899) ~ (all_52_13 = e3)
% 194.82/30.90 | | | | | | |
% 194.82/30.90 | | | | | | | REDUCE: (39), (3893) imply:
% 194.82/30.90 | | | | | | | (3900) op(e2, e2) = e3
% 194.82/30.90 | | | | | | |
% 194.82/30.90 | | | | | | | BETA: splitting (88) gives:
% 194.82/30.90 | | | | | | |
% 194.82/30.90 | | | | | | | Case 1:
% 194.82/30.90 | | | | | | | |
% 194.82/30.90 | | | | | | | | (3901) ~ (all_38_2 = e3)
% 194.82/30.90 | | | | | | | |
% 194.82/30.90 | | | | | | | | REDUCE: (3894), (3901) imply:
% 194.82/30.90 | | | | | | | | (3902) $false
% 194.82/30.90 | | | | | | | |
% 194.82/30.90 | | | | | | | | CLOSE: (3902) is inconsistent.
% 194.82/30.90 | | | | | | | |
% 194.82/30.90 | | | | | | | Case 2:
% 194.82/30.90 | | | | | | | |
% 194.82/30.90 | | | | | | | | (3903) op(e3, e2) = all_38_1 & $i(all_38_1) & ( ~ (all_38_1 =
% 194.82/30.90 | | | | | | | | e0) | ( ~ (all_38_0 = e1) & op(e0, e3) = all_38_0
% 194.82/30.90 | | | | | | | | & $i(all_38_0)))
% 194.82/30.90 | | | | | | | |
% 194.82/30.90 | | | | | | | | ALPHA: (3903) implies:
% 194.82/30.90 | | | | | | | | (3904) op(e3, e2) = all_38_1
% 194.82/30.90 | | | | | | | |
% 194.82/30.90 | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_4,
% 194.82/30.90 | | | | | | | | all_16_1, e2, e3, simplifying with (170), (3892)
% 194.82/30.90 | | | | | | | | gives:
% 194.82/30.90 | | | | | | | | (3905) all_52_4 = all_16_1
% 194.82/30.90 | | | | | | | |
% 194.82/30.90 | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_4,
% 194.82/30.90 | | | | | | | | all_38_1, e2, e3, simplifying with (170), (3904)
% 194.82/30.90 | | | | | | | | gives:
% 194.82/30.90 | | | | | | | | (3906) all_52_4 = all_38_1
% 194.82/30.90 | | | | | | | |
% 194.82/30.90 | | | | | | | | COMBINE_EQS: (3905), (3906) imply:
% 194.82/30.90 | | | | | | | | (3907) all_38_1 = all_16_1
% 194.82/30.90 | | | | | | | |
% 194.82/30.90 | | | | | | | | SIMP: (3907) implies:
% 194.82/30.90 | | | | | | | | (3908) all_38_1 = all_16_1
% 194.82/30.90 | | | | | | | |
% 194.82/30.90 | | | | | | | | COMBINE_EQS: (272), (3905) imply:
% 194.82/30.90 | | | | | | | | (3909) all_54_1 = all_16_1
% 194.82/30.90 | | | | | | | |
% 194.82/30.90 | | | | | | | | REDUCE: (136), (3905) imply:
% 194.82/30.90 | | | | | | | | (3910) ~ (all_52_6 = all_16_1)
% 194.82/30.90 | | | | | | | |
% 194.82/30.90 | | | | | | | | SIMP: (3910) implies:
% 194.82/30.90 | | | | | | | | (3911) ~ (all_52_6 = all_16_1)
% 194.82/30.90 | | | | | | | |
% 194.82/30.90 | | | | | | | | REDUCE: (135), (3905) imply:
% 194.82/30.90 | | | | | | | | (3912) ~ (all_52_7 = all_16_1)
% 194.82/30.90 | | | | | | | |
% 194.82/30.90 | | | | | | | | SIMP: (3912) implies:
% 194.82/30.90 | | | | | | | | (3913) ~ (all_52_7 = all_16_1)
% 194.82/30.90 | | | | | | | |
% 194.82/30.90 | | | | | | | | REDUCE: (134), (3905) imply:
% 194.82/30.90 | | | | | | | | (3914) ~ (all_52_8 = all_16_1)
% 194.82/30.90 | | | | | | | |
% 194.82/30.90 | | | | | | | | SIMP: (3914) implies:
% 194.82/30.90 | | | | | | | | (3915) ~ (all_52_8 = all_16_1)
% 194.82/30.90 | | | | | | | |
% 194.82/30.90 | | | | | | | | REDUCE: (133), (3905) imply:
% 194.82/30.90 | | | | | | | | (3916) ~ (all_52_12 = all_16_1)
% 194.82/30.90 | | | | | | | |
% 194.82/30.90 | | | | | | | | SIMP: (3916) implies:
% 194.82/30.90 | | | | | | | | (3917) ~ (all_52_12 = all_16_1)
% 194.82/30.90 | | | | | | | |
% 194.82/30.90 | | | | | | | | REDUCE: (343), (3905) imply:
% 194.82/30.90 | | | | | | | | (3918) ~ (all_16_1 = all_14_2)
% 194.82/30.90 | | | | | | | |
% 194.82/30.90 | | | | | | | | REDUCE: (3896), (3905) imply:
% 194.82/30.90 | | | | | | | | (3919) ~ (all_16_1 = e3)
% 194.82/30.90 | | | | | | | |
% 194.82/30.90 | | | | | | | | BETA: splitting (73) gives:
% 194.82/30.90 | | | | | | | |
% 194.82/30.90 | | | | | | | | Case 1:
% 194.82/30.90 | | | | | | | | |
% 194.82/30.90 | | | | | | | | | (3920) ~ (all_28_2 = e1)
% 194.82/30.90 | | | | | | | | |
% 194.82/30.90 | | | | | | | | | REDUCE: (315), (3920) imply:
% 194.82/30.90 | | | | | | | | | (3921) ~ (all_14_2 = e1)
% 194.82/30.90 | | | | | | | | |
% 194.82/30.90 | | | | | | | | | BETA: splitting (76) gives:
% 194.82/30.90 | | | | | | | | |
% 194.82/30.90 | | | | | | | | | Case 1:
% 194.82/30.90 | | | | | | | | | |
% 194.82/30.90 | | | | | | | | | | (3922) ~ (all_30_2 = e2)
% 194.82/30.90 | | | | | | | | | |
% 194.82/30.90 | | | | | | | | | | REDUCE: (309), (3922) imply:
% 194.82/30.90 | | | | | | | | | | (3923) ~ (all_10_2 = e2)
% 194.82/30.90 | | | | | | | | | |
% 194.82/30.90 | | | | | | | | | | BETA: splitting (79) gives:
% 194.82/30.90 | | | | | | | | | |
% 194.82/30.90 | | | | | | | | | | Case 1:
% 194.82/30.90 | | | | | | | | | | |
% 194.82/30.90 | | | | | | | | | | | (3924) ~ (all_32_2 = e3)
% 194.82/30.90 | | | | | | | | | | |
% 194.82/30.90 | | | | | | | | | | | REDUCE: (301), (3924) imply:
% 194.82/30.90 | | | | | | | | | | | (3925) ~ (all_4_2 = e3)
% 194.82/30.90 | | | | | | | | | | |
% 194.82/30.90 | | | | | | | | | | | BETA: splitting (194) gives:
% 194.82/30.90 | | | | | | | | | | |
% 194.82/30.90 | | | | | | | | | | | Case 1:
% 194.82/30.90 | | | | | | | | | | | |
% 194.82/30.90 | | | | | | | | | | | | (3926) all_54_10 = e3
% 194.82/30.90 | | | | | | | | | | | |
% 194.82/30.90 | | | | | | | | | | | | COMBINE_EQS: (335), (3926) imply:
% 194.82/30.90 | | | | | | | | | | | | (3927) all_4_2 = e3
% 194.82/30.90 | | | | | | | | | | | |
% 194.82/30.90 | | | | | | | | | | | | REDUCE: (3925), (3927) imply:
% 194.82/30.90 | | | | | | | | | | | | (3928) $false
% 194.82/30.90 | | | | | | | | | | | |
% 194.82/30.90 | | | | | | | | | | | | CLOSE: (3928) is inconsistent.
% 194.82/30.90 | | | | | | | | | | | |
% 194.82/30.90 | | | | | | | | | | | Case 2:
% 194.82/30.90 | | | | | | | | | | | |
% 194.82/30.90 | | | | | | | | | | | | (3929) ~ (all_54_10 = e3)
% 194.82/30.90 | | | | | | | | | | | | (3930) all_54_10 = e2 | all_54_10 = e1 | all_54_10 = e0
% 194.82/30.90 | | | | | | | | | | | |
% 194.82/30.90 | | | | | | | | | | | | BETA: splitting (3930) gives:
% 194.82/30.90 | | | | | | | | | | | |
% 194.82/30.90 | | | | | | | | | | | | Case 1:
% 194.82/30.90 | | | | | | | | | | | | |
% 194.82/30.90 | | | | | | | | | | | | | (3931) all_54_10 = e2
% 194.82/30.90 | | | | | | | | | | | | |
% 194.82/30.90 | | | | | | | | | | | | | COMBINE_EQS: (335), (3931) imply:
% 194.82/30.90 | | | | | | | | | | | | | (3932) all_4_2 = e2
% 194.82/30.90 | | | | | | | | | | | | |
% 194.82/30.90 | | | | | | | | | | | | | REDUCE: (375), (3932) imply:
% 194.82/30.90 | | | | | | | | | | | | | (3933) $false
% 194.82/30.90 | | | | | | | | | | | | |
% 194.82/30.90 | | | | | | | | | | | | | CLOSE: (3933) is inconsistent.
% 194.82/30.90 | | | | | | | | | | | | |
% 194.82/30.90 | | | | | | | | | | | | Case 2:
% 194.82/30.90 | | | | | | | | | | | | |
% 194.82/30.90 | | | | | | | | | | | | | (3934) ~ (all_54_10 = e2)
% 194.82/30.90 | | | | | | | | | | | | | (3935) all_54_10 = e1 | all_54_10 = e0
% 194.82/30.90 | | | | | | | | | | | | |
% 194.82/30.90 | | | | | | | | | | | | | BETA: splitting (3935) gives:
% 194.82/30.90 | | | | | | | | | | | | |
% 194.82/30.90 | | | | | | | | | | | | | Case 1:
% 194.82/30.90 | | | | | | | | | | | | | |
% 194.82/30.90 | | | | | | | | | | | | | | (3936) all_54_10 = e1
% 194.82/30.90 | | | | | | | | | | | | | |
% 194.82/30.90 | | | | | | | | | | | | | | COMBINE_EQS: (335), (3936) imply:
% 194.82/30.90 | | | | | | | | | | | | | | (3937) all_4_2 = e1
% 194.82/30.90 | | | | | | | | | | | | | |
% 194.82/30.90 | | | | | | | | | | | | | | REDUCE: (349), (3937) imply:
% 194.82/30.90 | | | | | | | | | | | | | | (3938) ~ (all_52_2 = e1)
% 194.82/30.90 | | | | | | | | | | | | | |
% 194.82/30.90 | | | | | | | | | | | | | | REDUCE: (360), (3937) imply:
% 194.82/30.90 | | | | | | | | | | | | | | (3939) ~ (all_52_6 = e1)
% 194.82/30.90 | | | | | | | | | | | | | |
% 194.82/30.90 | | | | | | | | | | | | | | REDUCE: (362), (3937) imply:
% 194.82/30.90 | | | | | | | | | | | | | | (3940) ~ (all_52_8 = e1)
% 194.82/30.90 | | | | | | | | | | | | | |
% 194.82/30.90 | | | | | | | | | | | | | | REDUCE: (363), (3937) imply:
% 194.82/30.91 | | | | | | | | | | | | | | (3941) ~ (all_52_9 = e1)
% 194.82/30.91 | | | | | | | | | | | | | |
% 194.82/30.91 | | | | | | | | | | | | | | REDUCE: (367), (3937) imply:
% 194.82/30.91 | | | | | | | | | | | | | | (3942) ~ (all_52_14 = e1)
% 194.82/30.91 | | | | | | | | | | | | | |
% 194.82/30.91 | | | | | | | | | | | | | | REDUCE: (3925), (3937) imply:
% 194.82/30.91 | | | | | | | | | | | | | | (3943) ~ (e3 = e1)
% 194.82/30.91 | | | | | | | | | | | | | |
% 194.82/30.91 | | | | | | | | | | | | | | REDUCE: (375), (3937) imply:
% 194.82/30.91 | | | | | | | | | | | | | | (3944) ~ (e2 = e1)
% 194.82/30.91 | | | | | | | | | | | | | |
% 194.82/30.91 | | | | | | | | | | | | | | REDUCE: (36), (3937) imply:
% 194.82/30.91 | | | | | | | | | | | | | | (3945) op(e1, e1) = e1
% 194.82/30.91 | | | | | | | | | | | | | |
% 194.82/30.91 | | | | | | | | | | | | | | BETA: splitting (82) gives:
% 194.82/30.91 | | | | | | | | | | | | | |
% 194.82/30.91 | | | | | | | | | | | | | | Case 1:
% 194.82/30.91 | | | | | | | | | | | | | | |
% 194.82/30.91 | | | | | | | | | | | | | | | (3946) ~ (all_34_2 = e0)
% 194.82/30.91 | | | | | | | | | | | | | | |
% 194.82/30.91 | | | | | | | | | | | | | | | REDUCE: (313), (3946) imply:
% 194.82/30.91 | | | | | | | | | | | | | | | (3947) ~ (all_14_2 = e0)
% 194.82/30.91 | | | | | | | | | | | | | | |
% 194.82/30.91 | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (7), (8), (45), (51), (165), (169),
% 194.82/30.91 | | | | | | | | | | | | | | | (204), (220), (239), (279), (345), (376), (377),
% 194.82/30.91 | | | | | | | | | | | | | | | (3898), (3900), (3921), (3923), (3945), (3947),
% 194.82/30.91 | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 194.82/30.91 | | | | | | | | | | | | | | | #1199.
% 194.82/30.91 | | | | | | | | | | | | | | |
% 194.82/30.91 | | | | | | | | | | | | | | Case 2:
% 194.82/30.91 | | | | | | | | | | | | | | |
% 194.82/30.91 | | | | | | | | | | | | | | | (3948) all_34_2 = e0
% 194.82/30.91 | | | | | | | | | | | | | | |
% 194.82/30.91 | | | | | | | | | | | | | | | COMBINE_EQS: (313), (3948) imply:
% 194.82/30.91 | | | | | | | | | | | | | | | (3949) all_14_2 = e0
% 194.82/30.91 | | | | | | | | | | | | | | |
% 194.82/30.91 | | | | | | | | | | | | | | | SIMP: (3949) implies:
% 194.82/30.91 | | | | | | | | | | | | | | | (3950) all_14_2 = e0
% 194.82/30.91 | | | | | | | | | | | | | | |
% 194.82/30.91 | | | | | | | | | | | | | | | REDUCE: (339), (3950) imply:
% 194.82/30.91 | | | | | | | | | | | | | | | (3951) ~ (all_52_2 = e0)
% 194.82/30.91 | | | | | | | | | | | | | | |
% 194.82/30.91 | | | | | | | | | | | | | | | REDUCE: (341), (3950) imply:
% 194.82/30.91 | | | | | | | | | | | | | | | (3952) ~ (all_52_3 = e0)
% 194.82/30.91 | | | | | | | | | | | | | | |
% 194.82/30.91 | | | | | | | | | | | | | | | REDUCE: (345), (3950) imply:
% 194.82/30.91 | | | | | | | | | | | | | | | (3953) ~ (all_52_8 = e0)
% 194.82/30.91 | | | | | | | | | | | | | | |
% 194.82/30.91 | | | | | | | | | | | | | | | REDUCE: (377), (3950) imply:
% 194.82/30.91 | | | | | | | | | | | | | | | (3954) ~ (e2 = e0)
% 194.82/30.91 | | | | | | | | | | | | | | |
% 194.82/30.91 | | | | | | | | | | | | | | | REDUCE: (3921), (3950) imply:
% 194.82/30.91 | | | | | | | | | | | | | | | (3955) ~ (e1 = e0)
% 194.82/30.91 | | | | | | | | | | | | | | |
% 194.82/30.91 | | | | | | | | | | | | | | | REDUCE: (51), (3950) imply:
% 194.82/30.91 | | | | | | | | | | | | | | | (3956) op(e3, e3) = e0
% 194.82/30.91 | | | | | | | | | | | | | | |
% 194.82/30.91 | | | | | | | | | | | | | | | BETA: splitting (91) gives:
% 194.82/30.91 | | | | | | | | | | | | | | |
% 194.82/30.91 | | | | | | | | | | | | | | | Case 1:
% 194.82/30.91 | | | | | | | | | | | | | | | |
% 194.82/30.91 | | | | | | | | | | | | | | | | (3957) ~ (all_40_2 = e1)
% 194.82/30.91 | | | | | | | | | | | | | | | |
% 194.82/30.91 | | | | | | | | | | | | | | | | REDUCE: (307), (3957) imply:
% 194.82/30.91 | | | | | | | | | | | | | | | | (3958) ~ (all_10_2 = e1)
% 194.82/30.91 | | | | | | | | | | | | | | | |
% 194.82/30.91 | | | | | | | | | | | | | | | | BETA: splitting (189) gives:
% 194.82/30.91 | | | | | | | | | | | | | | | |
% 194.82/30.91 | | | | | | | | | | | | | | | | Case 1:
% 194.82/30.91 | | | | | | | | | | | | | | | | |
% 194.82/30.91 | | | | | | | | | | | | | | | | | (3959) all_54_15 = e3
% 194.82/30.91 | | | | | | | | | | | | | | | | |
% 194.82/30.91 | | | | | | | | | | | | | | | | | COMBINE_EQS: (246), (3959) imply:
% 194.82/30.91 | | | | | | | | | | | | | | | | | (3960) all_10_2 = e3
% 194.82/30.91 | | | | | | | | | | | | | | | | |
% 194.82/30.91 | | | | | | | | | | | | | | | | | REDUCE: (376), (3960) imply:
% 194.82/30.91 | | | | | | | | | | | | | | | | | (3961) $false
% 194.82/30.91 | | | | | | | | | | | | | | | | |
% 194.82/30.91 | | | | | | | | | | | | | | | | | CLOSE: (3961) is inconsistent.
% 194.82/30.91 | | | | | | | | | | | | | | | | |
% 194.82/30.91 | | | | | | | | | | | | | | | | Case 2:
% 194.82/30.91 | | | | | | | | | | | | | | | | |
% 194.82/30.91 | | | | | | | | | | | | | | | | | (3962) ~ (all_54_15 = e3)
% 194.82/30.91 | | | | | | | | | | | | | | | | | (3963) all_54_15 = e2 | all_54_15 = e1 | all_54_15 = e0
% 194.82/30.91 | | | | | | | | | | | | | | | | |
% 194.82/30.91 | | | | | | | | | | | | | | | | | BETA: splitting (3963) gives:
% 194.82/30.91 | | | | | | | | | | | | | | | | |
% 194.82/30.91 | | | | | | | | | | | | | | | | | Case 1:
% 194.82/30.91 | | | | | | | | | | | | | | | | | |
% 194.82/30.91 | | | | | | | | | | | | | | | | | | (3964) all_54_15 = e2
% 194.82/30.91 | | | | | | | | | | | | | | | | | |
% 194.82/30.91 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (246), (3964) imply:
% 194.82/30.91 | | | | | | | | | | | | | | | | | | (3965) all_10_2 = e2
% 194.82/30.91 | | | | | | | | | | | | | | | | | |
% 194.82/30.91 | | | | | | | | | | | | | | | | | | REDUCE: (3923), (3965) imply:
% 194.82/30.91 | | | | | | | | | | | | | | | | | | (3966) $false
% 194.82/30.91 | | | | | | | | | | | | | | | | | |
% 194.82/30.91 | | | | | | | | | | | | | | | | | | CLOSE: (3966) is inconsistent.
% 194.82/30.91 | | | | | | | | | | | | | | | | | |
% 194.82/30.91 | | | | | | | | | | | | | | | | | Case 2:
% 194.82/30.91 | | | | | | | | | | | | | | | | | |
% 194.82/30.91 | | | | | | | | | | | | | | | | | | (3967) ~ (all_54_15 = e2)
% 194.82/30.91 | | | | | | | | | | | | | | | | | | (3968) all_54_15 = e1 | all_54_15 = e0
% 194.82/30.91 | | | | | | | | | | | | | | | | | |
% 194.82/30.91 | | | | | | | | | | | | | | | | | | BETA: splitting (3968) gives:
% 194.82/30.91 | | | | | | | | | | | | | | | | | |
% 194.82/30.91 | | | | | | | | | | | | | | | | | | Case 1:
% 194.82/30.91 | | | | | | | | | | | | | | | | | | |
% 194.82/30.91 | | | | | | | | | | | | | | | | | | | (3969) all_54_15 = e1
% 194.82/30.91 | | | | | | | | | | | | | | | | | | |
% 194.82/30.91 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (246), (3969) imply:
% 194.82/30.91 | | | | | | | | | | | | | | | | | | | (3970) all_10_2 = e1
% 194.82/30.91 | | | | | | | | | | | | | | | | | | |
% 194.82/30.91 | | | | | | | | | | | | | | | | | | | REDUCE: (3958), (3970) imply:
% 194.82/30.91 | | | | | | | | | | | | | | | | | | | (3971) $false
% 194.82/30.91 | | | | | | | | | | | | | | | | | | |
% 194.82/30.91 | | | | | | | | | | | | | | | | | | | CLOSE: (3971) is inconsistent.
% 194.82/30.91 | | | | | | | | | | | | | | | | | | |
% 194.82/30.91 | | | | | | | | | | | | | | | | | | Case 2:
% 194.82/30.91 | | | | | | | | | | | | | | | | | | |
% 194.82/30.91 | | | | | | | | | | | | | | | | | | | (3972) all_54_15 = e0
% 194.82/30.91 | | | | | | | | | | | | | | | | | | |
% 194.82/30.91 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (246), (3972) imply:
% 194.82/30.91 | | | | | | | | | | | | | | | | | | | (3973) all_10_2 = e0
% 194.82/30.91 | | | | | | | | | | | | | | | | | | |
% 194.82/30.91 | | | | | | | | | | | | | | | | | | | REDUCE: (361), (3973) imply:
% 194.82/30.91 | | | | | | | | | | | | | | | | | | | (3974) ~ (all_52_7 = e0)
% 194.82/30.91 | | | | | | | | | | | | | | | | | | |
% 194.82/30.91 | | | | | | | | | | | | | | | | | | | REDUCE: (368), (3973) imply:
% 194.82/30.91 | | | | | | | | | | | | | | | | | | | (3975) ~ (all_52_11 = e0)
% 194.82/30.91 | | | | | | | | | | | | | | | | | | |
% 194.82/30.91 | | | | | | | | | | | | | | | | | | | REDUCE: (376), (3973) imply:
% 194.82/30.91 | | | | | | | | | | | | | | | | | | | (3976) ~ (e3 = e0)
% 194.82/30.91 | | | | | | | | | | | | | | | | | | |
% 194.82/30.91 | | | | | | | | | | | | | | | | | | | REDUCE: (45), (3973) imply:
% 194.82/30.91 | | | | | | | | | | | | | | | | | | | (3977) op(e0, e0) = e0
% 194.82/30.91 | | | | | | | | | | | | | | | | | | |
% 194.82/30.91 | | | | | | | | | | | | | | | | | | | BETA: splitting (217) gives:
% 194.82/30.91 | | | | | | | | | | | | | | | | | | |
% 194.82/30.91 | | | | | | | | | | | | | | | | | | | Case 1:
% 194.82/30.91 | | | | | | | | | | | | | | | | | | | |
% 194.82/30.91 | | | | | | | | | | | | | | | | | | | | (3978) (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_5 = e0
% 194.82/30.91 | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e0)
% 194.82/30.91 | | | | | | | | | | | | | | | | | | | |
% 194.82/30.91 | | | | | | | | | | | | | | | | | | | | BETA: splitting (3978) gives:
% 194.82/30.91 | | | | | | | | | | | | | | | | | | | |
% 194.82/30.91 | | | | | | | | | | | | | | | | | | | | Case 1:
% 194.82/30.91 | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.91 | | | | | | | | | | | | | | | | | | | | | (3979) all_56_4 = e0 & op(e3, e1) = e0
% 194.82/30.91 | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.91 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (169), (3953), (3979), (function-axioms) are
% 194.82/30.91 | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1471.
% 194.82/30.91 | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.91 | | | | | | | | | | | | | | | | | | | | Case 2:
% 194.82/30.91 | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.91 | | | | | | | | | | | | | | | | | | | | | (3980) all_56_5 = e0 & op(e2, e1) = e0
% 194.82/30.91 | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.91 | | | | | | | | | | | | | | | | | | | | | ALPHA: (3980) implies:
% 194.82/30.91 | | | | | | | | | | | | | | | | | | | | | (3981) op(e2, e1) = e0
% 194.82/30.91 | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.91 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (239) gives:
% 194.82/30.91 | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.91 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 194.82/30.91 | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.91 | | | | | | | | | | | | | | | | | | | | | | (3982) (all_57_1 = e2 & ~ (all_57_3 = e3) & ~ (all_57_8
% 194.82/30.91 | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_10 = e2) & ~ (all_57_12 =
% 194.82/30.91 | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_14 = e0) & op(e3, e3) = e2 &
% 194.82/30.91 | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_3 & op(e2, all_57_9) =
% 194.82/30.91 | | | | | | | | | | | | | | | | | | | | | | all_57_8 & op(e2, all_57_11) = all_57_10 &
% 194.82/30.91 | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_13) = all_57_12 & op(e2,
% 194.82/30.91 | | | | | | | | | | | | | | | | | | | | | | all_57_15) = all_57_14 & op(e2, e3) = all_57_9
% 194.82/30.91 | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = all_57_11 & op(e2, e1) =
% 194.82/30.91 | | | | | | | | | | | | | | | | | | | | | | all_57_13 & op(e2, e0) = all_57_15 &
% 194.82/30.91 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_3) & $i(all_57_8) & $i(all_57_9) &
% 194.82/30.91 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & $i(all_57_11) & $i(all_57_12) &
% 194.82/30.91 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13) & $i(all_57_14) & $i(all_57_15)) |
% 194.82/30.91 | | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e1 & ~ (all_57_5 = e3) & ~
% 194.82/30.91 | | | | | | | | | | | | | | | | | | | | | | (all_57_16 = e3) & ~ (all_57_18 = e2) & ~
% 194.82/30.91 | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_22 = e0) & op(e3,
% 194.82/30.91 | | | | | | | | | | | | | | | | | | | | | | e3) = e1 & op(e3, e1) = all_57_5 & op(e1,
% 194.82/30.91 | | | | | | | | | | | | | | | | | | | | | | all_57_17) = all_57_16 & op(e1, all_57_19) =
% 194.82/30.91 | | | | | | | | | | | | | | | | | | | | | | all_57_18 & op(e1, all_57_21) = all_57_20 &
% 194.82/30.91 | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_23) = all_57_22 & op(e1, e3) =
% 194.82/30.91 | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e1, e2) = all_57_19 & op(e1, e1)
% 194.82/30.91 | | | | | | | | | | | | | | | | | | | | | | = all_57_21 & op(e1, e0) = all_57_23 &
% 194.82/30.91 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_16) & $i(all_57_17) &
% 194.82/30.91 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_19) & $i(all_57_20) &
% 194.82/30.91 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_22) & $i(all_57_23)) |
% 194.82/30.91 | | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e0 & ~ (all_57_7 = e3) & ~
% 194.82/30.91 | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 194.82/30.91 | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) & op(e3,
% 194.82/30.91 | | | | | | | | | | | | | | | | | | | | | | e3) = e0 & op(e3, e0) = all_57_7 & op(e0,
% 194.82/30.91 | | | | | | | | | | | | | | | | | | | | | | all_57_25) = all_57_24 & op(e0, all_57_27) =
% 194.82/30.91 | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e0, all_57_29) = all_57_28 &
% 194.82/30.91 | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_31) = all_57_30 & op(e0, e3) =
% 194.82/30.91 | | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_27 & op(e0, e1)
% 194.82/30.91 | | | | | | | | | | | | | | | | | | | | | | = all_57_29 & op(e0, e0) = all_57_31 &
% 194.82/30.91 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7) & $i(all_57_24) & $i(all_57_25) &
% 194.82/30.91 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_27) & $i(all_57_28) &
% 194.82/30.91 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29) & $i(all_57_30) & $i(all_57_31)) |
% 194.82/30.91 | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e3 & ~ (all_57_0 = e3) & ~
% 194.82/30.91 | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e2) & ~ (all_57_4 = e1) & ~
% 194.82/30.91 | | | | | | | | | | | | | | | | | | | | | | (all_57_6 = e0) & ~ (all_57_9 = e2) & op(e3,
% 194.82/30.91 | | | | | | | | | | | | | | | | | | | | | | all_57_1) = all_57_0 & op(e3, all_57_3) =
% 194.82/30.91 | | | | | | | | | | | | | | | | | | | | | | all_57_2 & op(e3, all_57_5) = all_57_4 & op(e3,
% 194.82/30.91 | | | | | | | | | | | | | | | | | | | | | | all_57_7) = all_57_6 & op(e3, e3) = all_57_1 &
% 194.82/30.91 | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_3 & op(e3, e1) = all_57_5 &
% 194.82/30.91 | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_7 & op(e2, e3) = all_57_9 &
% 194.82/30.91 | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e3 & $i(all_57_0) & $i(all_57_1) &
% 194.82/30.91 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_2) & $i(all_57_3) & $i(all_57_4) &
% 194.82/30.91 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 194.82/30.91 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9))
% 194.82/30.91 | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.91 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3982) gives:
% 194.82/30.91 | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.91 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 194.82/30.91 | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.91 | | | | | | | | | | | | | | | | | | | | | | | (3983) (all_57_1 = e2 & ~ (all_57_3 = e3) & ~ (all_57_8
% 194.82/30.91 | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_10 = e2) & ~ (all_57_12 =
% 194.82/30.91 | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_14 = e0) & op(e3, e3) = e2 &
% 194.82/30.91 | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_3 & op(e2, all_57_9) =
% 194.82/30.91 | | | | | | | | | | | | | | | | | | | | | | | all_57_8 & op(e2, all_57_11) = all_57_10 &
% 194.82/30.91 | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_13) = all_57_12 & op(e2,
% 194.82/30.91 | | | | | | | | | | | | | | | | | | | | | | | all_57_15) = all_57_14 & op(e2, e3) = all_57_9
% 194.82/30.91 | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = all_57_11 & op(e2, e1) =
% 194.82/30.91 | | | | | | | | | | | | | | | | | | | | | | | all_57_13 & op(e2, e0) = all_57_15 &
% 194.82/30.91 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_3) & $i(all_57_8) & $i(all_57_9) &
% 194.82/30.91 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & $i(all_57_11) & $i(all_57_12) &
% 194.82/30.91 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13) & $i(all_57_14) & $i(all_57_15)) |
% 194.82/30.91 | | | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e1 & ~ (all_57_5 = e3) & ~
% 194.82/30.91 | | | | | | | | | | | | | | | | | | | | | | | (all_57_16 = e3) & ~ (all_57_18 = e2) & ~
% 194.82/30.91 | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_22 = e0) & op(e3,
% 194.82/30.91 | | | | | | | | | | | | | | | | | | | | | | | e3) = e1 & op(e3, e1) = all_57_5 & op(e1,
% 194.82/30.91 | | | | | | | | | | | | | | | | | | | | | | | all_57_17) = all_57_16 & op(e1, all_57_19) =
% 194.82/30.91 | | | | | | | | | | | | | | | | | | | | | | | all_57_18 & op(e1, all_57_21) = all_57_20 &
% 194.82/30.91 | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_23) = all_57_22 & op(e1, e3) =
% 194.82/30.91 | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e1, e2) = all_57_19 & op(e1, e1)
% 194.82/30.91 | | | | | | | | | | | | | | | | | | | | | | | = all_57_21 & op(e1, e0) = all_57_23 &
% 194.82/30.91 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_16) & $i(all_57_17) &
% 194.82/30.91 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_19) & $i(all_57_20) &
% 194.82/30.91 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_22) & $i(all_57_23))
% 194.82/30.91 | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.91 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (3956), (3983), (function-axioms) are
% 194.82/30.91 | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1833.
% 194.82/30.91 | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.91 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 194.82/30.91 | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.91 | | | | | | | | | | | | | | | | | | | | | | | (3984) (all_57_1 = e0 & ~ (all_57_7 = e3) & ~
% 194.82/30.91 | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 194.82/30.91 | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) & op(e3,
% 194.82/30.91 | | | | | | | | | | | | | | | | | | | | | | | e3) = e0 & op(e3, e0) = all_57_7 & op(e0,
% 194.82/30.91 | | | | | | | | | | | | | | | | | | | | | | | all_57_25) = all_57_24 & op(e0, all_57_27) =
% 194.82/30.91 | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e0, all_57_29) = all_57_28 &
% 194.82/30.91 | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_31) = all_57_30 & op(e0, e3) =
% 194.82/30.91 | | | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_27 & op(e0, e1)
% 194.82/30.91 | | | | | | | | | | | | | | | | | | | | | | | = all_57_29 & op(e0, e0) = all_57_31 &
% 194.82/30.91 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7) & $i(all_57_24) & $i(all_57_25) &
% 194.82/30.91 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_27) & $i(all_57_28) &
% 194.82/30.91 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29) & $i(all_57_30) & $i(all_57_31)) |
% 194.82/30.91 | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e3 & ~ (all_57_0 = e3) & ~
% 194.82/30.91 | | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e2) & ~ (all_57_4 = e1) & ~
% 194.82/30.91 | | | | | | | | | | | | | | | | | | | | | | | (all_57_6 = e0) & ~ (all_57_9 = e2) & op(e3,
% 194.82/30.91 | | | | | | | | | | | | | | | | | | | | | | | all_57_1) = all_57_0 & op(e3, all_57_3) =
% 194.82/30.91 | | | | | | | | | | | | | | | | | | | | | | | all_57_2 & op(e3, all_57_5) = all_57_4 & op(e3,
% 194.82/30.91 | | | | | | | | | | | | | | | | | | | | | | | all_57_7) = all_57_6 & op(e3, e3) = all_57_1 &
% 194.82/30.91 | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_3 & op(e3, e1) = all_57_5 &
% 194.82/30.91 | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_7 & op(e2, e3) = all_57_9 &
% 194.82/30.91 | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e3 & $i(all_57_0) & $i(all_57_1) &
% 194.82/30.91 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_2) & $i(all_57_3) & $i(all_57_4) &
% 194.82/30.91 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 194.82/30.91 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9))
% 194.82/30.91 | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.91 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3984) gives:
% 194.82/30.91 | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.91 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 194.82/30.91 | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.91 | | | | | | | | | | | | | | | | | | | | | | | | (3985) all_57_1 = e0 & ~ (all_57_7 = e3) & ~ (all_57_24
% 194.82/30.91 | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_26 = e2) & ~ (all_57_28 =
% 194.82/30.91 | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_30 = e0) & op(e3, e3) = e0 &
% 194.82/30.91 | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_7 & op(e0, all_57_25) =
% 194.82/30.91 | | | | | | | | | | | | | | | | | | | | | | | | all_57_24 & op(e0, all_57_27) = all_57_26 & op(e0,
% 194.82/30.91 | | | | | | | | | | | | | | | | | | | | | | | | all_57_29) = all_57_28 & op(e0, all_57_31) =
% 194.82/30.91 | | | | | | | | | | | | | | | | | | | | | | | | all_57_30 & op(e0, e3) = all_57_25 & op(e0, e2) =
% 194.82/30.91 | | | | | | | | | | | | | | | | | | | | | | | | all_57_27 & op(e0, e1) = all_57_29 & op(e0, e0) =
% 194.82/30.91 | | | | | | | | | | | | | | | | | | | | | | | | all_57_31 & $i(all_57_7) & $i(all_57_24) &
% 194.82/30.91 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_25) & $i(all_57_26) & $i(all_57_27) &
% 194.82/30.91 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28) & $i(all_57_29) & $i(all_57_30) &
% 194.82/30.91 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_31)
% 194.82/30.91 | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.91 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3985) implies:
% 194.82/30.91 | | | | | | | | | | | | | | | | | | | | | | | | (3986) ~ (all_57_7 = e3)
% 194.82/30.91 | | | | | | | | | | | | | | | | | | | | | | | | (3987) op(e3, e0) = all_57_7
% 194.82/30.91 | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.91 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (238) gives:
% 194.82/30.91 | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.91 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 194.82/30.91 | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.91 | | | | | | | | | | | | | | | | | | | | | | | | | (3988) (all_57_3 = e3 & ~ (all_57_1 = e2) & ~ (all_57_8
% 194.82/30.91 | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_10 = e2) & ~ (all_57_12 =
% 194.82/30.91 | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_14 = e0) & op(e3, e3) =
% 194.82/30.91 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e2) = e3 & op(e2, all_57_9) =
% 194.82/30.91 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_8 & op(e2, all_57_11) = all_57_10 &
% 194.82/30.91 | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_13) = all_57_12 & op(e2,
% 194.82/30.91 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15) = all_57_14 & op(e2, e3) = all_57_9
% 194.82/30.91 | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = all_57_11 & op(e2, e1) =
% 194.82/30.91 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_13 & op(e2, e0) = all_57_15 &
% 194.82/30.91 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_8) & $i(all_57_9) &
% 194.82/30.91 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & $i(all_57_11) & $i(all_57_12) &
% 194.82/30.91 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13) & $i(all_57_14) & $i(all_57_15)) |
% 194.82/30.91 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_5 = e3 & ~ (all_57_1 = e1) & ~
% 194.82/30.91 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_16 = e3) & ~ (all_57_18 = e2) & ~
% 194.82/30.91 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_22 = e0) & op(e3,
% 194.82/30.91 | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_1 & op(e3, e1) = e3 & op(e1,
% 194.82/30.91 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17) = all_57_16 & op(e1, all_57_19) =
% 194.82/30.91 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_18 & op(e1, all_57_21) = all_57_20 &
% 194.82/30.91 | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_23) = all_57_22 & op(e1, e3) =
% 194.82/30.91 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e1, e2) = all_57_19 & op(e1, e1)
% 194.82/30.91 | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_21 & op(e1, e0) = all_57_23 &
% 194.82/30.91 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_16) & $i(all_57_17) &
% 194.82/30.91 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_19) & $i(all_57_20) &
% 194.82/30.91 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_22) & $i(all_57_23)) |
% 194.82/30.91 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_7 = e3 & ~ (all_57_1 = e0) & ~
% 194.82/30.91 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 194.82/30.91 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) & op(e3,
% 194.82/30.91 | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_1 & op(e3, e0) = e3 & op(e0,
% 194.82/30.91 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25) = all_57_24 & op(e0, all_57_27) =
% 194.82/30.91 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e0, all_57_29) = all_57_28 &
% 194.82/30.91 | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_31) = all_57_30 & op(e0, e3) =
% 194.82/30.91 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_27 & op(e0, e1)
% 194.82/30.91 | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_29 & op(e0, e0) = all_57_31 &
% 194.82/30.91 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_24) & $i(all_57_25) &
% 194.82/30.91 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_27) & $i(all_57_28) &
% 194.82/30.91 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29) & $i(all_57_30) & $i(all_57_31)) |
% 194.82/30.91 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e2 & ~ (all_57_0 = e3) & ~ (all_57_2
% 194.82/30.91 | | | | | | | | | | | | | | | | | | | | | | | | | = e2) & ~ (all_57_4 = e1) & ~ (all_57_6 =
% 194.82/30.91 | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_11 = e3) & op(e3, all_57_1) =
% 194.82/30.91 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_0 & op(e3, all_57_3) = all_57_2 & op(e3,
% 194.82/30.91 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_5) = all_57_4 & op(e3, all_57_7) =
% 194.82/30.91 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_6 & op(e3, e3) = all_57_1 & op(e3, e2) =
% 194.82/30.91 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 & op(e3, e1) = all_57_5 & op(e3, e0) =
% 194.82/30.91 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7 & op(e2, e3) = e2 & op(e2, e2) =
% 194.82/30.91 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_11 & $i(all_57_0) & $i(all_57_1) &
% 194.82/30.91 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_2) & $i(all_57_3) & $i(all_57_4) &
% 194.82/30.91 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 194.82/30.91 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11))
% 194.82/30.91 | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.91 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3988) gives:
% 194.82/30.91 | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.91 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 194.82/30.91 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.91 | | | | | | | | | | | | | | | | | | | | | | | | | | (3989) (all_57_3 = e3 & ~ (all_57_1 = e2) & ~ (all_57_8
% 194.82/30.91 | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_10 = e2) & ~ (all_57_12 =
% 194.82/30.91 | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_14 = e0) & op(e3, e3) =
% 194.82/30.91 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e2) = e3 & op(e2, all_57_9) =
% 194.82/30.91 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_8 & op(e2, all_57_11) = all_57_10 &
% 194.82/30.91 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_13) = all_57_12 & op(e2,
% 194.82/30.91 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15) = all_57_14 & op(e2, e3) = all_57_9
% 194.82/30.91 | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = all_57_11 & op(e2, e1) =
% 194.82/30.91 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_13 & op(e2, e0) = all_57_15 &
% 194.82/30.91 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_8) & $i(all_57_9) &
% 194.82/30.91 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & $i(all_57_11) & $i(all_57_12) &
% 194.82/30.91 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13) & $i(all_57_14) & $i(all_57_15)) |
% 194.82/30.91 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_5 = e3 & ~ (all_57_1 = e1) & ~
% 194.82/30.91 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_16 = e3) & ~ (all_57_18 = e2) & ~
% 194.82/30.91 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_22 = e0) & op(e3,
% 194.82/30.91 | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_1 & op(e3, e1) = e3 & op(e1,
% 194.82/30.91 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17) = all_57_16 & op(e1, all_57_19) =
% 194.82/30.91 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_18 & op(e1, all_57_21) = all_57_20 &
% 194.82/30.91 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_23) = all_57_22 & op(e1, e3) =
% 194.82/30.91 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e1, e2) = all_57_19 & op(e1, e1)
% 194.82/30.91 | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_21 & op(e1, e0) = all_57_23 &
% 194.82/30.91 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_16) & $i(all_57_17) &
% 194.82/30.91 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_19) & $i(all_57_20) &
% 194.82/30.91 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_22) & $i(all_57_23))
% 194.82/30.91 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.91 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (170), (335), (372), (375), (3896), (3930),
% 194.82/30.91 | | | | | | | | | | | | | | | | | | | | | | | | | | (3989), (function-axioms) are inconsistent by
% 194.82/30.91 | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1197.
% 194.82/30.91 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.91 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 194.82/30.91 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.91 | | | | | | | | | | | | | | | | | | | | | | | | | | (3990) (all_57_7 = e3 & ~ (all_57_1 = e0) & ~
% 194.82/30.91 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 194.82/30.91 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) & op(e3,
% 194.82/30.91 | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_1 & op(e3, e0) = e3 & op(e0,
% 194.82/30.91 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25) = all_57_24 & op(e0, all_57_27) =
% 194.82/30.91 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e0, all_57_29) = all_57_28 &
% 194.82/30.91 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_31) = all_57_30 & op(e0, e3) =
% 194.82/30.91 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_27 & op(e0, e1)
% 194.82/30.91 | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_29 & op(e0, e0) = all_57_31 &
% 194.82/30.91 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_24) & $i(all_57_25) &
% 194.82/30.91 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_27) & $i(all_57_28) &
% 194.82/30.91 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29) & $i(all_57_30) & $i(all_57_31)) |
% 194.82/30.91 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e2 & ~ (all_57_0 = e3) & ~ (all_57_2
% 194.82/30.91 | | | | | | | | | | | | | | | | | | | | | | | | | | = e2) & ~ (all_57_4 = e1) & ~ (all_57_6 =
% 194.82/30.91 | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_11 = e3) & op(e3, all_57_1) =
% 194.82/30.91 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_0 & op(e3, all_57_3) = all_57_2 & op(e3,
% 194.82/30.91 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_5) = all_57_4 & op(e3, all_57_7) =
% 194.82/30.91 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_6 & op(e3, e3) = all_57_1 & op(e3, e2) =
% 194.82/30.91 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 & op(e3, e1) = all_57_5 & op(e3, e0) =
% 194.82/30.91 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7 & op(e2, e3) = e2 & op(e2, e2) =
% 194.82/30.91 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_11 & $i(all_57_0) & $i(all_57_1) &
% 194.82/30.91 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_2) & $i(all_57_3) & $i(all_57_4) &
% 194.82/30.91 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 194.82/30.91 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11))
% 194.82/30.91 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.91 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3990) gives:
% 194.82/30.91 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.91 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 194.82/30.91 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3991) all_57_7 = e3 & ~ (all_57_1 = e0) & ~ (all_57_24
% 194.82/30.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_26 = e2) & ~ (all_57_28 =
% 194.82/30.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_30 = e0) & op(e3, e3) =
% 194.82/30.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e0) = e3 & op(e0, all_57_25) =
% 194.82/30.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_24 & op(e0, all_57_27) = all_57_26 & op(e0,
% 194.82/30.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_29) = all_57_28 & op(e0, all_57_31) =
% 194.82/30.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30 & op(e0, e3) = all_57_25 & op(e0, e2) =
% 194.82/30.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27 & op(e0, e1) = all_57_29 & op(e0, e0) =
% 194.82/30.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_31 & $i(all_57_1) & $i(all_57_24) &
% 194.82/30.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_25) & $i(all_57_26) & $i(all_57_27) &
% 194.82/30.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28) & $i(all_57_29) & $i(all_57_30) &
% 194.82/30.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_31)
% 194.82/30.91 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3991) implies:
% 194.82/30.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3992) op(e3, e0) = e3
% 194.82/30.91 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (3986), (3987), (3992), (function-axioms) are
% 194.82/30.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1945.
% 194.82/30.91 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.91 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 194.82/30.91 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3993) all_57_9 = e2 & ~ (all_57_0 = e3) & ~ (all_57_2
% 194.82/30.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2) & ~ (all_57_4 = e1) & ~ (all_57_6 = e0)
% 194.82/30.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_11 = e3) & op(e3, all_57_1) =
% 194.82/30.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_0 & op(e3, all_57_3) = all_57_2 & op(e3,
% 194.82/30.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_5) = all_57_4 & op(e3, all_57_7) =
% 194.82/30.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_6 & op(e3, e3) = all_57_1 & op(e3, e2) =
% 194.82/30.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 & op(e3, e1) = all_57_5 & op(e3, e0) =
% 194.82/30.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7 & op(e2, e3) = e2 & op(e2, e2) =
% 194.82/30.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_11 & $i(all_57_0) & $i(all_57_1) &
% 194.82/30.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_2) & $i(all_57_3) & $i(all_57_4) &
% 194.82/30.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 194.82/30.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11)
% 194.82/30.91 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (3900), (3993), (function-axioms) are inconsistent
% 194.82/30.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1196.
% 194.82/30.91 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.91 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 194.82/30.91 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.91 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 194.82/30.91 | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.91 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 194.82/30.91 | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.92 | | | | | | | | | | | | | | | | | | | | | | | | | (3994) (all_57_13 = e2 & ~ (all_57_11 = e1) & ~
% 194.82/30.92 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_16 = e3) & ~ (all_57_18 = e2) & ~
% 194.82/30.92 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_22 = e0) & op(e2,
% 194.82/30.92 | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_11 & op(e2, e1) = e2 & op(e1,
% 194.82/30.92 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17) = all_57_16 & op(e1, all_57_19) =
% 194.82/30.92 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_18 & op(e1, all_57_21) = all_57_20 &
% 194.82/30.92 | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_23) = all_57_22 & op(e1, e3) =
% 194.82/30.92 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e1, e2) = all_57_19 & op(e1, e1)
% 194.82/30.92 | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_21 & op(e1, e0) = all_57_23 &
% 194.82/30.92 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_16) & $i(all_57_17) &
% 194.82/30.92 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_19) & $i(all_57_20) &
% 194.82/30.92 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_22) & $i(all_57_23)) |
% 194.82/30.92 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e2 & ~ (all_57_11 = e0) & ~
% 194.82/30.92 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 194.82/30.92 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) & op(e2,
% 194.82/30.92 | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_11 & op(e2, e0) = e2 & op(e0,
% 194.82/30.92 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25) = all_57_24 & op(e0, all_57_27) =
% 194.82/30.92 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e0, all_57_29) = all_57_28 &
% 194.82/30.92 | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_31) = all_57_30 & op(e0, e3) =
% 194.82/30.92 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_27 & op(e0, e1)
% 194.82/30.92 | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_29 & op(e0, e0) = all_57_31 &
% 194.82/30.92 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_24) & $i(all_57_25) &
% 194.82/30.92 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_27) & $i(all_57_28) &
% 194.82/30.92 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29) & $i(all_57_30) & $i(all_57_31)) |
% 194.82/30.92 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_17 = e1 & ~ (all_57_0 = e3) & ~
% 194.82/30.92 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e2) & ~ (all_57_4 = e1) & ~
% 194.82/30.92 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_6 = e0) & ~ (all_57_21 = e3) & op(e3,
% 194.82/30.92 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1) = all_57_0 & op(e3, all_57_3) =
% 194.82/30.92 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_2 & op(e3, all_57_5) = all_57_4 & op(e3,
% 194.82/30.92 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7) = all_57_6 & op(e3, e3) = all_57_1 &
% 194.82/30.92 | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_3 & op(e3, e1) = all_57_5 &
% 194.82/30.92 | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_7 & op(e1, e3) = e1 & op(e1,
% 194.82/30.92 | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_21 & $i(all_57_0) & $i(all_57_1)
% 194.82/30.92 | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_2) & $i(all_57_3) & $i(all_57_4) &
% 194.82/30.92 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 194.82/30.92 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21)) | (all_57_19 = e1 & ~ (all_57_8
% 194.82/30.92 | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_10 = e2) & ~ (all_57_12 =
% 194.82/30.92 | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_14 = e0) & ~ (all_57_21 =
% 194.82/30.92 | | | | | | | | | | | | | | | | | | | | | | | | | e2) & op(e2, all_57_9) = all_57_8 & op(e2,
% 194.82/30.92 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_11) = all_57_10 & op(e2, all_57_13) =
% 194.82/30.92 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & op(e2, all_57_15) = all_57_14 &
% 194.82/30.92 | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_9 & op(e2, e2) = all_57_11 &
% 194.82/30.92 | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_57_13 & op(e2, e0) = all_57_15
% 194.82/30.92 | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e1 & op(e1, e1) = all_57_21 &
% 194.82/30.92 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8) & $i(all_57_9) & $i(all_57_10) &
% 194.82/30.92 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_12) & $i(all_57_13) &
% 194.82/30.92 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & $i(all_57_15) & $i(all_57_21)) |
% 194.82/30.92 | | | | | | | | | | | | | | | | | | | | | | | | | (op(e0, e0) = all_57_31 & $i(all_57_31) &
% 194.82/30.92 | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_23 = e1 & ~ (all_57_21 = e0) & ~
% 194.82/30.92 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 194.82/30.92 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) &
% 194.82/30.92 | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_21 & op(e1, e0) = e1 &
% 194.82/30.92 | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_25) = all_57_24 & op(e0,
% 194.82/30.92 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27) = all_57_26 & op(e0, all_57_29)
% 194.82/30.92 | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_28 & op(e0, all_57_31) = all_57_30
% 194.82/30.92 | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e3) = all_57_25 & op(e0, e2) =
% 194.82/30.92 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27 & op(e0, e1) = all_57_29 &
% 194.82/30.92 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_24) &
% 194.82/30.92 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_25) & $i(all_57_26) &
% 194.82/30.92 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27) & $i(all_57_28) &
% 194.82/30.92 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29) & $i(all_57_30)) | (all_57_25
% 194.82/30.92 | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & ~ (all_57_0 = e3) & ~ (all_57_2 =
% 194.82/30.92 | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_4 = e1) & ~ (all_57_6 =
% 194.82/30.92 | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_31 = e3) & op(e3,
% 194.82/30.92 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1) = all_57_0 & op(e3, all_57_3) =
% 194.82/30.92 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_2 & op(e3, all_57_5) = all_57_4 &
% 194.82/30.92 | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, all_57_7) = all_57_6 & op(e3, e3) =
% 194.82/30.92 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e2) = all_57_3 & op(e3,
% 194.82/30.92 | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_5 & op(e3, e0) = all_57_7 &
% 194.82/30.92 | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_0) &
% 194.82/30.92 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_2) & $i(all_57_3) &
% 194.82/30.92 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4) & $i(all_57_5) & $i(all_57_6) &
% 194.82/30.92 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7)) | (all_57_27 = e0 & ~
% 194.82/30.92 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e3) & ~ (all_57_10 = e2) & ~
% 194.82/30.92 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e1) & ~ (all_57_14 = e0) & ~
% 194.82/30.92 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e2) & op(e2, all_57_9) =
% 194.82/30.92 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_8 & op(e2, all_57_11) = all_57_10 &
% 194.82/30.92 | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_13) = all_57_12 & op(e2,
% 194.82/30.92 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15) = all_57_14 & op(e2, e3) =
% 194.82/30.92 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_9 & op(e2, e2) = all_57_11 & op(e2,
% 194.82/30.92 | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_13 & op(e2, e0) = all_57_15 &
% 194.82/30.92 | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_8) &
% 194.82/30.92 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9) & $i(all_57_10) & $i(all_57_11)
% 194.82/30.92 | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_12) & $i(all_57_13) &
% 194.82/30.92 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & $i(all_57_15)) | (all_57_29
% 194.82/30.92 | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & ~ (all_57_16 = e3) & ~ (all_57_18 =
% 194.82/30.92 | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_20 = e1) & ~ (all_57_22
% 194.82/30.92 | | | | | | | | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_31 = e1) & op(e1,
% 194.82/30.92 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17) = all_57_16 & op(e1, all_57_19)
% 194.82/30.92 | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_18 & op(e1, all_57_21) = all_57_20
% 194.82/30.92 | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, all_57_23) = all_57_22 & op(e1, e3)
% 194.82/30.92 | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_17 & op(e1, e2) = all_57_19 &
% 194.82/30.92 | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_21 & op(e1, e0) =
% 194.82/30.92 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23 & op(e0, e1) = e0 & $i(all_57_16)
% 194.82/30.92 | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_17) & $i(all_57_18) &
% 194.82/30.92 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_20) &
% 194.82/30.92 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_22) &
% 194.82/30.92 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23))))
% 194.82/30.92 | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.92 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (45), (158), (159),
% 194.82/30.92 | | | | | | | | | | | | | | | | | | | | | | | | | (160), (162), (163), (165), (211), (212), (213),
% 194.82/30.92 | | | | | | | | | | | | | | | | | | | | | | | | | (219), (220), (225), (226), (227), (232), (376),
% 194.82/30.92 | | | | | | | | | | | | | | | | | | | | | | | | | (3898), (3900), (3938), (3939), (3942), (3945),
% 194.82/30.92 | | | | | | | | | | | | | | | | | | | | | | | | | (3951), (3952), (3956), (3974), (3977), (3981),
% 194.82/30.92 | | | | | | | | | | | | | | | | | | | | | | | | | (3994), (function-axioms) are inconsistent by
% 194.82/30.92 | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1186.
% 194.82/30.92 | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.92 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 194.82/30.92 | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.92 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 194.82/30.92 | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.92 | | | | | | | | | | | | | | | | | | | | | | | | (3995) all_57_11 = e3 & ~ (all_57_0 = e3) & ~ (all_57_2
% 194.82/30.92 | | | | | | | | | | | | | | | | | | | | | | | | = e2) & ~ (all_57_4 = e1) & ~ (all_57_6 = e0)
% 194.82/30.92 | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_9 = e2) & op(e3, all_57_1) = all_57_0
% 194.82/30.92 | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, all_57_3) = all_57_2 & op(e3, all_57_5) =
% 194.82/30.92 | | | | | | | | | | | | | | | | | | | | | | | | all_57_4 & op(e3, all_57_7) = all_57_6 & op(e3,
% 194.82/30.92 | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_1 & op(e3, e2) = all_57_3 & op(e3,
% 194.82/30.92 | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_5 & op(e3, e0) = all_57_7 & op(e2,
% 194.82/30.92 | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_9 & op(e2, e2) = e3 & $i(all_57_0)
% 194.82/30.92 | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_1) & $i(all_57_2) & $i(all_57_3) &
% 194.82/30.92 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4) & $i(all_57_5) & $i(all_57_6) &
% 194.82/30.92 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7) & $i(all_57_9)
% 194.82/30.92 | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.92 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3995) implies:
% 194.82/30.92 | | | | | | | | | | | | | | | | | | | | | | | | (3996) ~ (all_57_9 = e2)
% 194.82/30.92 | | | | | | | | | | | | | | | | | | | | | | | | (3997) ~ (all_57_6 = e0)
% 194.82/30.92 | | | | | | | | | | | | | | | | | | | | | | | | (3998) op(e2, e3) = all_57_9
% 194.82/30.92 | | | | | | | | | | | | | | | | | | | | | | | | (3999) op(e3, e0) = all_57_7
% 194.82/30.92 | | | | | | | | | | | | | | | | | | | | | | | | (4000) op(e3, all_57_7) = all_57_6
% 194.82/30.92 | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.92 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (238) gives:
% 194.82/30.92 | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.92 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 194.82/30.92 | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.92 | | | | | | | | | | | | | | | | | | | | | | | | | (4001) (all_57_3 = e3 & ~ (all_57_1 = e2) & ~ (all_57_8
% 194.82/30.92 | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_10 = e2) & ~ (all_57_12 =
% 194.82/30.92 | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_14 = e0) & op(e3, e3) =
% 194.82/30.92 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e2) = e3 & op(e2, all_57_9) =
% 194.82/30.92 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_8 & op(e2, all_57_11) = all_57_10 &
% 194.82/30.92 | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_13) = all_57_12 & op(e2,
% 194.82/30.92 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15) = all_57_14 & op(e2, e3) = all_57_9
% 194.82/30.92 | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = all_57_11 & op(e2, e1) =
% 194.82/30.92 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_13 & op(e2, e0) = all_57_15 &
% 194.82/30.92 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_8) & $i(all_57_9) &
% 194.82/30.92 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & $i(all_57_11) & $i(all_57_12) &
% 194.82/30.92 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13) & $i(all_57_14) & $i(all_57_15)) |
% 194.82/30.92 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_5 = e3 & ~ (all_57_1 = e1) & ~
% 194.82/30.92 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_16 = e3) & ~ (all_57_18 = e2) & ~
% 194.82/30.92 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_22 = e0) & op(e3,
% 194.82/30.92 | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_1 & op(e3, e1) = e3 & op(e1,
% 194.82/30.92 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17) = all_57_16 & op(e1, all_57_19) =
% 194.82/30.92 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_18 & op(e1, all_57_21) = all_57_20 &
% 194.82/30.92 | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_23) = all_57_22 & op(e1, e3) =
% 194.82/30.92 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e1, e2) = all_57_19 & op(e1, e1)
% 194.82/30.92 | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_21 & op(e1, e0) = all_57_23 &
% 194.82/30.92 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_16) & $i(all_57_17) &
% 194.82/30.92 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_19) & $i(all_57_20) &
% 194.82/30.92 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_22) & $i(all_57_23)) |
% 194.82/30.92 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_7 = e3 & ~ (all_57_1 = e0) & ~
% 194.82/30.92 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 194.82/30.92 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) & op(e3,
% 194.82/30.92 | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_1 & op(e3, e0) = e3 & op(e0,
% 194.82/30.92 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25) = all_57_24 & op(e0, all_57_27) =
% 194.82/30.92 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e0, all_57_29) = all_57_28 &
% 194.82/30.92 | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_31) = all_57_30 & op(e0, e3) =
% 194.82/30.92 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_27 & op(e0, e1)
% 194.82/30.92 | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_29 & op(e0, e0) = all_57_31 &
% 194.82/30.92 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_24) & $i(all_57_25) &
% 194.82/30.92 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_27) & $i(all_57_28) &
% 194.82/30.92 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29) & $i(all_57_30) & $i(all_57_31)) |
% 194.82/30.92 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e2 & ~ (all_57_0 = e3) & ~ (all_57_2
% 194.82/30.92 | | | | | | | | | | | | | | | | | | | | | | | | | = e2) & ~ (all_57_4 = e1) & ~ (all_57_6 =
% 194.82/30.92 | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_11 = e3) & op(e3, all_57_1) =
% 194.82/30.92 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_0 & op(e3, all_57_3) = all_57_2 & op(e3,
% 194.82/30.92 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_5) = all_57_4 & op(e3, all_57_7) =
% 194.82/30.92 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_6 & op(e3, e3) = all_57_1 & op(e3, e2) =
% 194.82/30.92 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 & op(e3, e1) = all_57_5 & op(e3, e0) =
% 194.82/30.92 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7 & op(e2, e3) = e2 & op(e2, e2) =
% 194.82/30.92 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_11 & $i(all_57_0) & $i(all_57_1) &
% 194.82/30.92 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_2) & $i(all_57_3) & $i(all_57_4) &
% 194.82/30.92 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 194.82/30.92 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11))
% 194.82/30.92 | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.92 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4001) gives:
% 194.82/30.92 | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.92 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 194.82/30.92 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.92 | | | | | | | | | | | | | | | | | | | | | | | | | | (4002) (all_57_3 = e3 & ~ (all_57_1 = e2) & ~ (all_57_8
% 194.82/30.92 | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_10 = e2) & ~ (all_57_12 =
% 194.82/30.92 | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_14 = e0) & op(e3, e3) =
% 194.82/30.92 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e2) = e3 & op(e2, all_57_9) =
% 194.82/30.92 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_8 & op(e2, all_57_11) = all_57_10 &
% 194.82/30.92 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_13) = all_57_12 & op(e2,
% 194.82/30.92 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15) = all_57_14 & op(e2, e3) = all_57_9
% 194.82/30.92 | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = all_57_11 & op(e2, e1) =
% 194.82/30.92 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_13 & op(e2, e0) = all_57_15 &
% 194.82/30.92 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_8) & $i(all_57_9) &
% 194.82/30.92 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & $i(all_57_11) & $i(all_57_12) &
% 194.82/30.92 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13) & $i(all_57_14) & $i(all_57_15)) |
% 194.82/30.92 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_5 = e3 & ~ (all_57_1 = e1) & ~
% 194.82/30.92 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_16 = e3) & ~ (all_57_18 = e2) & ~
% 194.82/30.92 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_22 = e0) & op(e3,
% 194.82/30.92 | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_1 & op(e3, e1) = e3 & op(e1,
% 194.82/30.92 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17) = all_57_16 & op(e1, all_57_19) =
% 194.82/30.92 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_18 & op(e1, all_57_21) = all_57_20 &
% 194.82/30.92 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_23) = all_57_22 & op(e1, e3) =
% 194.82/30.92 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e1, e2) = all_57_19 & op(e1, e1)
% 194.82/30.92 | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_21 & op(e1, e0) = all_57_23 &
% 194.82/30.92 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_16) & $i(all_57_17) &
% 194.82/30.92 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_19) & $i(all_57_20) &
% 194.82/30.92 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_22) & $i(all_57_23))
% 194.82/30.92 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.92 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (170), (335), (372), (375), (3896), (3930),
% 194.82/30.92 | | | | | | | | | | | | | | | | | | | | | | | | | | (4002), (function-axioms) are inconsistent by
% 194.82/30.92 | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1197.
% 194.82/30.92 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.92 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 194.82/30.92 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.92 | | | | | | | | | | | | | | | | | | | | | | | | | | (4003) (all_57_7 = e3 & ~ (all_57_1 = e0) & ~
% 194.82/30.92 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 194.82/30.92 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) & op(e3,
% 194.82/30.92 | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_1 & op(e3, e0) = e3 & op(e0,
% 194.82/30.92 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25) = all_57_24 & op(e0, all_57_27) =
% 194.82/30.92 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e0, all_57_29) = all_57_28 &
% 194.82/30.92 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_31) = all_57_30 & op(e0, e3) =
% 194.82/30.92 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_27 & op(e0, e1)
% 194.82/30.92 | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_29 & op(e0, e0) = all_57_31 &
% 194.82/30.92 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_24) & $i(all_57_25) &
% 194.82/30.92 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_27) & $i(all_57_28) &
% 194.82/30.92 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29) & $i(all_57_30) & $i(all_57_31)) |
% 194.82/30.92 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e2 & ~ (all_57_0 = e3) & ~ (all_57_2
% 194.82/30.92 | | | | | | | | | | | | | | | | | | | | | | | | | | = e2) & ~ (all_57_4 = e1) & ~ (all_57_6 =
% 194.82/30.92 | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_11 = e3) & op(e3, all_57_1) =
% 194.82/30.92 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_0 & op(e3, all_57_3) = all_57_2 & op(e3,
% 194.82/30.92 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_5) = all_57_4 & op(e3, all_57_7) =
% 194.82/30.92 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_6 & op(e3, e3) = all_57_1 & op(e3, e2) =
% 194.82/30.92 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 & op(e3, e1) = all_57_5 & op(e3, e0) =
% 194.82/30.92 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7 & op(e2, e3) = e2 & op(e2, e2) =
% 194.82/30.92 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_11 & $i(all_57_0) & $i(all_57_1) &
% 194.82/30.92 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_2) & $i(all_57_3) & $i(all_57_4) &
% 194.82/30.92 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 194.82/30.92 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11))
% 194.82/30.92 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.92 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4003) gives:
% 194.82/30.92 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.92 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 194.82/30.92 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | (4004) all_57_7 = e3 & ~ (all_57_1 = e0) & ~ (all_57_24
% 194.82/30.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_26 = e2) & ~ (all_57_28 =
% 194.82/30.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_30 = e0) & op(e3, e3) =
% 194.82/30.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e0) = e3 & op(e0, all_57_25) =
% 194.82/30.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_24 & op(e0, all_57_27) = all_57_26 & op(e0,
% 194.82/30.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_29) = all_57_28 & op(e0, all_57_31) =
% 194.82/30.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30 & op(e0, e3) = all_57_25 & op(e0, e2) =
% 194.82/30.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27 & op(e0, e1) = all_57_29 & op(e0, e0) =
% 194.82/30.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_31 & $i(all_57_1) & $i(all_57_24) &
% 194.82/30.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_25) & $i(all_57_26) & $i(all_57_27) &
% 194.82/30.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28) & $i(all_57_29) & $i(all_57_30) &
% 194.82/30.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_31)
% 194.82/30.92 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4004) implies:
% 194.82/30.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | (4005) op(e3, e0) = e3
% 194.82/30.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | (4006) op(e3, e3) = all_57_1
% 194.82/30.92 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (3956), (3997), (3999), (4000), (4005), (4006),
% 194.82/30.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 194.82/30.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | #1832.
% 194.82/30.92 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.92 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 194.82/30.92 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | (4007) all_57_9 = e2 & ~ (all_57_0 = e3) & ~ (all_57_2
% 194.82/30.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2) & ~ (all_57_4 = e1) & ~ (all_57_6 = e0)
% 194.82/30.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_11 = e3) & op(e3, all_57_1) =
% 194.82/30.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_0 & op(e3, all_57_3) = all_57_2 & op(e3,
% 194.82/30.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_5) = all_57_4 & op(e3, all_57_7) =
% 194.82/30.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_6 & op(e3, e3) = all_57_1 & op(e3, e2) =
% 194.82/30.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 & op(e3, e1) = all_57_5 & op(e3, e0) =
% 194.82/30.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7 & op(e2, e3) = e2 & op(e2, e2) =
% 194.82/30.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_11 & $i(all_57_0) & $i(all_57_1) &
% 194.82/30.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_2) & $i(all_57_3) & $i(all_57_4) &
% 194.82/30.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 194.82/30.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11)
% 194.82/30.92 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4007) implies:
% 194.82/30.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | (4008) op(e2, e3) = e2
% 194.82/30.92 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (3996), (3998), (4008), (function-axioms) are
% 194.82/30.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1303.
% 194.82/30.92 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.92 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 194.82/30.92 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.92 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 194.82/30.92 | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.92 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 194.82/30.92 | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.92 | | | | | | | | | | | | | | | | | | | | | | | | | (4009) (all_57_13 = e2 & ~ (all_57_11 = e1) & ~
% 194.82/30.92 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_16 = e3) & ~ (all_57_18 = e2) & ~
% 194.82/30.92 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_22 = e0) & op(e2,
% 194.82/30.92 | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_11 & op(e2, e1) = e2 & op(e1,
% 194.82/30.92 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17) = all_57_16 & op(e1, all_57_19) =
% 194.82/30.92 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_18 & op(e1, all_57_21) = all_57_20 &
% 194.82/30.92 | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_23) = all_57_22 & op(e1, e3) =
% 194.82/30.92 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e1, e2) = all_57_19 & op(e1, e1)
% 194.82/30.92 | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_21 & op(e1, e0) = all_57_23 &
% 194.82/30.92 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_16) & $i(all_57_17) &
% 194.82/30.92 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_19) & $i(all_57_20) &
% 194.82/30.92 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_22) & $i(all_57_23)) |
% 194.82/30.92 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e2 & ~ (all_57_11 = e0) & ~
% 194.82/30.92 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 194.82/30.92 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) & op(e2,
% 194.82/30.92 | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_11 & op(e2, e0) = e2 & op(e0,
% 194.82/30.92 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25) = all_57_24 & op(e0, all_57_27) =
% 194.82/30.92 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e0, all_57_29) = all_57_28 &
% 194.82/30.92 | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_31) = all_57_30 & op(e0, e3) =
% 194.82/30.92 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_27 & op(e0, e1)
% 194.82/30.92 | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_29 & op(e0, e0) = all_57_31 &
% 194.82/30.92 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_24) & $i(all_57_25) &
% 194.82/30.92 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_27) & $i(all_57_28) &
% 194.82/30.92 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29) & $i(all_57_30) & $i(all_57_31)) |
% 194.82/30.92 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_17 = e1 & ~ (all_57_0 = e3) & ~
% 194.82/30.92 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e2) & ~ (all_57_4 = e1) & ~
% 194.82/30.92 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_6 = e0) & ~ (all_57_21 = e3) & op(e3,
% 194.82/30.92 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1) = all_57_0 & op(e3, all_57_3) =
% 194.82/30.92 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_2 & op(e3, all_57_5) = all_57_4 & op(e3,
% 194.82/30.92 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7) = all_57_6 & op(e3, e3) = all_57_1 &
% 194.82/30.92 | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_3 & op(e3, e1) = all_57_5 &
% 194.82/30.92 | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_7 & op(e1, e3) = e1 & op(e1,
% 194.82/30.92 | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_21 & $i(all_57_0) & $i(all_57_1)
% 194.82/30.92 | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_2) & $i(all_57_3) & $i(all_57_4) &
% 194.82/30.92 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 194.82/30.92 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21)) | (all_57_19 = e1 & ~ (all_57_8
% 194.82/30.92 | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_10 = e2) & ~ (all_57_12 =
% 194.82/30.92 | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_14 = e0) & ~ (all_57_21 =
% 194.82/30.92 | | | | | | | | | | | | | | | | | | | | | | | | | e2) & op(e2, all_57_9) = all_57_8 & op(e2,
% 194.82/30.92 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_11) = all_57_10 & op(e2, all_57_13) =
% 194.82/30.92 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & op(e2, all_57_15) = all_57_14 &
% 194.82/30.92 | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_9 & op(e2, e2) = all_57_11 &
% 194.82/30.92 | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_57_13 & op(e2, e0) = all_57_15
% 194.82/30.92 | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e1 & op(e1, e1) = all_57_21 &
% 194.82/30.92 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8) & $i(all_57_9) & $i(all_57_10) &
% 194.82/30.92 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_12) & $i(all_57_13) &
% 194.82/30.92 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & $i(all_57_15) & $i(all_57_21)) |
% 194.82/30.92 | | | | | | | | | | | | | | | | | | | | | | | | | (op(e0, e0) = all_57_31 & $i(all_57_31) &
% 194.82/30.92 | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_23 = e1 & ~ (all_57_21 = e0) & ~
% 194.82/30.92 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 194.82/30.92 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) &
% 194.82/30.92 | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_21 & op(e1, e0) = e1 &
% 194.82/30.92 | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_25) = all_57_24 & op(e0,
% 194.82/30.92 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27) = all_57_26 & op(e0, all_57_29)
% 194.82/30.92 | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_28 & op(e0, all_57_31) = all_57_30
% 194.82/30.92 | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e3) = all_57_25 & op(e0, e2) =
% 194.82/30.92 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27 & op(e0, e1) = all_57_29 &
% 194.82/30.92 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_24) &
% 194.82/30.92 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_25) & $i(all_57_26) &
% 194.82/30.92 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27) & $i(all_57_28) &
% 194.82/30.92 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29) & $i(all_57_30)) | (all_57_25
% 194.82/30.92 | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & ~ (all_57_0 = e3) & ~ (all_57_2 =
% 194.82/30.92 | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_4 = e1) & ~ (all_57_6 =
% 194.82/30.92 | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_31 = e3) & op(e3,
% 194.82/30.92 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1) = all_57_0 & op(e3, all_57_3) =
% 194.82/30.92 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_2 & op(e3, all_57_5) = all_57_4 &
% 194.82/30.92 | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, all_57_7) = all_57_6 & op(e3, e3) =
% 194.82/30.92 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e2) = all_57_3 & op(e3,
% 194.82/30.92 | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_5 & op(e3, e0) = all_57_7 &
% 194.82/30.92 | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_0) &
% 194.82/30.92 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_2) & $i(all_57_3) &
% 194.82/30.92 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4) & $i(all_57_5) & $i(all_57_6) &
% 194.82/30.92 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7)) | (all_57_27 = e0 & ~
% 194.82/30.92 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e3) & ~ (all_57_10 = e2) & ~
% 194.82/30.92 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e1) & ~ (all_57_14 = e0) & ~
% 194.82/30.92 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e2) & op(e2, all_57_9) =
% 194.82/30.92 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_8 & op(e2, all_57_11) = all_57_10 &
% 194.82/30.92 | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_13) = all_57_12 & op(e2,
% 194.82/30.92 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15) = all_57_14 & op(e2, e3) =
% 194.82/30.92 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_9 & op(e2, e2) = all_57_11 & op(e2,
% 194.82/30.92 | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_13 & op(e2, e0) = all_57_15 &
% 194.82/30.92 | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_8) &
% 194.82/30.92 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9) & $i(all_57_10) & $i(all_57_11)
% 194.82/30.92 | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_12) & $i(all_57_13) &
% 194.82/30.92 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & $i(all_57_15)) | (all_57_29
% 194.82/30.92 | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & ~ (all_57_16 = e3) & ~ (all_57_18 =
% 194.82/30.92 | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_20 = e1) & ~ (all_57_22
% 194.82/30.92 | | | | | | | | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_31 = e1) & op(e1,
% 194.82/30.92 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17) = all_57_16 & op(e1, all_57_19)
% 194.82/30.92 | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_18 & op(e1, all_57_21) = all_57_20
% 194.82/30.92 | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, all_57_23) = all_57_22 & op(e1, e3)
% 194.82/30.92 | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_17 & op(e1, e2) = all_57_19 &
% 194.82/30.92 | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_21 & op(e1, e0) =
% 194.82/30.92 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23 & op(e0, e1) = e0 & $i(all_57_16)
% 194.82/30.92 | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_17) & $i(all_57_18) &
% 194.82/30.92 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_20) &
% 194.82/30.92 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_22) &
% 194.82/30.92 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23))))
% 194.82/30.92 | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.92 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (45), (158), (159),
% 194.82/30.92 | | | | | | | | | | | | | | | | | | | | | | | | | (160), (162), (163), (165), (211), (212), (213),
% 194.82/30.92 | | | | | | | | | | | | | | | | | | | | | | | | | (219), (220), (225), (226), (227), (232), (376),
% 194.82/30.92 | | | | | | | | | | | | | | | | | | | | | | | | | (3898), (3900), (3938), (3939), (3942), (3945),
% 194.82/30.92 | | | | | | | | | | | | | | | | | | | | | | | | | (3951), (3952), (3956), (3974), (3977), (3981),
% 194.82/30.92 | | | | | | | | | | | | | | | | | | | | | | | | | (4009), (function-axioms) are inconsistent by
% 194.82/30.92 | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1186.
% 194.82/30.92 | | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.92 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 194.82/30.92 | | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.92 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 194.82/30.92 | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.92 | | | | | | | | | | | | | | | | | | | | | | End of split
% 194.82/30.92 | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.92 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 194.82/30.92 | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.92 | | | | | | | | | | | | | | | | | | | | | | (4010) (all_57_11 = e1 & ~ (all_57_13 = e2) & ~
% 194.82/30.92 | | | | | | | | | | | | | | | | | | | | | | (all_57_16 = e3) & ~ (all_57_18 = e2) & ~
% 194.82/30.92 | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_22 = e0) & op(e2,
% 194.82/30.92 | | | | | | | | | | | | | | | | | | | | | | e2) = e1 & op(e2, e1) = all_57_13 & op(e1,
% 194.82/30.93 | | | | | | | | | | | | | | | | | | | | | | all_57_17) = all_57_16 & op(e1, all_57_19) =
% 194.82/30.93 | | | | | | | | | | | | | | | | | | | | | | all_57_18 & op(e1, all_57_21) = all_57_20 &
% 194.82/30.93 | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_23) = all_57_22 & op(e1, e3) =
% 194.82/30.93 | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e1, e2) = all_57_19 & op(e1, e1)
% 194.82/30.93 | | | | | | | | | | | | | | | | | | | | | | = all_57_21 & op(e1, e0) = all_57_23 &
% 194.82/30.93 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13) & $i(all_57_16) & $i(all_57_17) &
% 194.82/30.93 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_19) & $i(all_57_20) &
% 194.82/30.93 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_22) & $i(all_57_23)) |
% 194.82/30.93 | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e0 & ~ (all_57_15 = e2) & ~
% 194.82/30.93 | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 194.82/30.93 | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) & op(e2,
% 194.82/30.93 | | | | | | | | | | | | | | | | | | | | | | e2) = e0 & op(e2, e0) = all_57_15 & op(e0,
% 194.82/30.93 | | | | | | | | | | | | | | | | | | | | | | all_57_25) = all_57_24 & op(e0, all_57_27) =
% 194.82/30.93 | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e0, all_57_29) = all_57_28 &
% 194.82/30.93 | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_31) = all_57_30 & op(e0, e3) =
% 194.82/30.93 | | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_27 & op(e0, e1)
% 194.82/30.93 | | | | | | | | | | | | | | | | | | | | | | = all_57_29 & op(e0, e0) = all_57_31 &
% 194.82/30.93 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & $i(all_57_24) & $i(all_57_25) &
% 194.82/30.93 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_27) & $i(all_57_28) &
% 194.82/30.93 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29) & $i(all_57_30) & $i(all_57_31)) |
% 194.82/30.93 | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e3 & ~ (all_57_0 = e3) & ~
% 194.82/30.93 | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e2) & ~ (all_57_4 = e1) & ~
% 194.82/30.93 | | | | | | | | | | | | | | | | | | | | | | (all_57_6 = e0) & ~ (all_57_17 = e1) & op(e3,
% 194.82/30.93 | | | | | | | | | | | | | | | | | | | | | | all_57_1) = all_57_0 & op(e3, all_57_3) =
% 194.82/30.93 | | | | | | | | | | | | | | | | | | | | | | all_57_2 & op(e3, all_57_5) = all_57_4 & op(e3,
% 194.82/30.93 | | | | | | | | | | | | | | | | | | | | | | all_57_7) = all_57_6 & op(e3, e3) = all_57_1 &
% 194.82/30.93 | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_3 & op(e3, e1) = all_57_5 &
% 194.82/30.93 | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_7 & op(e1, e3) = all_57_17 &
% 194.82/30.93 | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e3 & $i(all_57_0) & $i(all_57_1) &
% 194.82/30.93 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_2) & $i(all_57_3) & $i(all_57_4) &
% 194.82/30.93 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 194.82/30.93 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_17)) | (all_57_21 = e2 & ~ (all_57_8
% 194.82/30.93 | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_10 = e2) & ~ (all_57_12 =
% 194.82/30.93 | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_14 = e0) & ~ (all_57_19 =
% 194.82/30.93 | | | | | | | | | | | | | | | | | | | | | | e1) & op(e2, all_57_9) = all_57_8 & op(e2,
% 194.82/30.93 | | | | | | | | | | | | | | | | | | | | | | all_57_11) = all_57_10 & op(e2, all_57_13) =
% 194.82/30.93 | | | | | | | | | | | | | | | | | | | | | | all_57_12 & op(e2, all_57_15) = all_57_14 &
% 194.82/30.93 | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_9 & op(e2, e2) = all_57_11 &
% 194.82/30.93 | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_57_13 & op(e2, e0) = all_57_15
% 194.82/30.93 | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = all_57_19 & op(e1, e1) = e2 &
% 194.82/30.93 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8) & $i(all_57_9) & $i(all_57_10) &
% 194.82/30.93 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_12) & $i(all_57_13) &
% 194.82/30.93 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & $i(all_57_15) & $i(all_57_19)) |
% 194.82/30.93 | | | | | | | | | | | | | | | | | | | | | | (op(e0, e0) = all_57_31 & $i(all_57_31) &
% 194.82/30.93 | | | | | | | | | | | | | | | | | | | | | | ((all_57_21 = e0 & ~ (all_57_23 = e1) & ~
% 194.82/30.93 | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 194.82/30.93 | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) &
% 194.82/30.93 | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = all_57_23 &
% 194.82/30.93 | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_25) = all_57_24 & op(e0,
% 194.82/30.93 | | | | | | | | | | | | | | | | | | | | | | all_57_27) = all_57_26 & op(e0, all_57_29)
% 194.82/30.93 | | | | | | | | | | | | | | | | | | | | | | = all_57_28 & op(e0, all_57_31) = all_57_30
% 194.82/30.93 | | | | | | | | | | | | | | | | | | | | | | & op(e0, e3) = all_57_25 & op(e0, e2) =
% 194.82/30.93 | | | | | | | | | | | | | | | | | | | | | | all_57_27 & op(e0, e1) = all_57_29 &
% 194.82/30.93 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23) & $i(all_57_24) &
% 194.82/30.93 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_25) & $i(all_57_26) &
% 194.82/30.93 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27) & $i(all_57_28) &
% 194.82/30.93 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29) & $i(all_57_30)) | (all_57_31
% 194.82/30.93 | | | | | | | | | | | | | | | | | | | | | | = e3 & ~ (all_57_0 = e3) & ~ (all_57_2 =
% 194.82/30.93 | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_4 = e1) & ~ (all_57_6 =
% 194.82/30.93 | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_25 = e0) & op(e3,
% 194.82/30.93 | | | | | | | | | | | | | | | | | | | | | | all_57_1) = all_57_0 & op(e3, all_57_3) =
% 194.82/30.93 | | | | | | | | | | | | | | | | | | | | | | all_57_2 & op(e3, all_57_5) = all_57_4 &
% 194.82/30.93 | | | | | | | | | | | | | | | | | | | | | | op(e3, all_57_7) = all_57_6 & op(e3, e3) =
% 194.82/30.93 | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e2) = all_57_3 & op(e3,
% 194.82/30.93 | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_5 & op(e3, e0) = all_57_7 &
% 194.82/30.93 | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_25 & $i(all_57_0) &
% 194.82/30.93 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_2) & $i(all_57_3) &
% 194.82/30.93 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4) & $i(all_57_5) & $i(all_57_6) &
% 194.82/30.93 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7) & $i(all_57_25)) | (all_57_31 =
% 194.82/30.93 | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_8 = e3) & ~ (all_57_10 =
% 194.82/30.93 | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_12 = e1) & ~ (all_57_14
% 194.82/30.93 | | | | | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_27 = e0) & op(e2,
% 194.82/30.93 | | | | | | | | | | | | | | | | | | | | | | all_57_9) = all_57_8 & op(e2, all_57_11) =
% 194.82/30.93 | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e2, all_57_13) = all_57_12 &
% 194.82/30.93 | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_15) = all_57_14 & op(e2, e3) =
% 194.82/30.93 | | | | | | | | | | | | | | | | | | | | | | all_57_9 & op(e2, e2) = all_57_11 & op(e2,
% 194.82/30.93 | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_13 & op(e2, e0) = all_57_15 &
% 194.82/30.93 | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_27 & $i(all_57_8) &
% 194.82/30.93 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9) & $i(all_57_10) & $i(all_57_11)
% 194.82/30.93 | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_12) & $i(all_57_13) &
% 194.82/30.93 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & $i(all_57_15) &
% 194.82/30.93 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27)) | (all_57_31 = e1 & ~
% 194.82/30.93 | | | | | | | | | | | | | | | | | | | | | | (all_57_16 = e3) & ~ (all_57_18 = e2) & ~
% 194.82/30.93 | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_22 = e0) & ~
% 194.82/30.93 | | | | | | | | | | | | | | | | | | | | | | (all_57_29 = e0) & op(e1, all_57_17) =
% 194.82/30.93 | | | | | | | | | | | | | | | | | | | | | | all_57_16 & op(e1, all_57_19) = all_57_18 &
% 194.82/30.93 | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_21) = all_57_20 & op(e1,
% 194.82/30.93 | | | | | | | | | | | | | | | | | | | | | | all_57_23) = all_57_22 & op(e1, e3) =
% 194.82/30.93 | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e1, e2) = all_57_19 & op(e1,
% 194.82/30.93 | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_21 & op(e1, e0) = all_57_23 &
% 194.82/30.93 | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = all_57_29 & $i(all_57_16) &
% 194.82/30.93 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_17) & $i(all_57_18) &
% 194.82/30.93 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_20) &
% 194.82/30.93 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_22) &
% 194.82/30.93 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23) & $i(all_57_29))))
% 194.82/30.93 | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.93 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4010) gives:
% 194.82/30.93 | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.93 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 194.82/30.93 | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.93 | | | | | | | | | | | | | | | | | | | | | | | (4011) (all_57_11 = e1 & ~ (all_57_13 = e2) & ~
% 194.82/30.93 | | | | | | | | | | | | | | | | | | | | | | | (all_57_16 = e3) & ~ (all_57_18 = e2) & ~
% 194.82/30.93 | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_22 = e0) & op(e2,
% 194.82/30.93 | | | | | | | | | | | | | | | | | | | | | | | e2) = e1 & op(e2, e1) = all_57_13 & op(e1,
% 194.82/30.93 | | | | | | | | | | | | | | | | | | | | | | | all_57_17) = all_57_16 & op(e1, all_57_19) =
% 194.82/30.93 | | | | | | | | | | | | | | | | | | | | | | | all_57_18 & op(e1, all_57_21) = all_57_20 &
% 194.82/30.93 | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_23) = all_57_22 & op(e1, e3) =
% 194.82/30.93 | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e1, e2) = all_57_19 & op(e1, e1)
% 194.82/30.93 | | | | | | | | | | | | | | | | | | | | | | | = all_57_21 & op(e1, e0) = all_57_23 &
% 194.82/30.93 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13) & $i(all_57_16) & $i(all_57_17) &
% 194.82/30.93 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_19) & $i(all_57_20) &
% 194.82/30.93 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_22) & $i(all_57_23)) |
% 194.82/30.93 | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e0 & ~ (all_57_15 = e2) & ~
% 194.82/30.93 | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 194.82/30.93 | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) & op(e2,
% 194.82/30.93 | | | | | | | | | | | | | | | | | | | | | | | e2) = e0 & op(e2, e0) = all_57_15 & op(e0,
% 194.82/30.93 | | | | | | | | | | | | | | | | | | | | | | | all_57_25) = all_57_24 & op(e0, all_57_27) =
% 194.82/30.93 | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e0, all_57_29) = all_57_28 &
% 194.82/30.93 | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_31) = all_57_30 & op(e0, e3) =
% 194.82/30.93 | | | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_27 & op(e0, e1)
% 194.82/30.93 | | | | | | | | | | | | | | | | | | | | | | | = all_57_29 & op(e0, e0) = all_57_31 &
% 194.82/30.93 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & $i(all_57_24) & $i(all_57_25) &
% 194.82/30.93 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_27) & $i(all_57_28) &
% 194.82/30.93 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29) & $i(all_57_30) & $i(all_57_31))
% 194.82/30.93 | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.93 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8), (3900), (4011), (function-axioms) are
% 194.82/30.93 | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1200.
% 194.82/30.93 | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.93 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 194.82/30.93 | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.93 | | | | | | | | | | | | | | | | | | | | | | | (4012) (all_57_21 = e3 & ~ (all_57_0 = e3) & ~
% 194.82/30.93 | | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e2) & ~ (all_57_4 = e1) & ~
% 194.82/30.93 | | | | | | | | | | | | | | | | | | | | | | | (all_57_6 = e0) & ~ (all_57_17 = e1) & op(e3,
% 194.82/30.93 | | | | | | | | | | | | | | | | | | | | | | | all_57_1) = all_57_0 & op(e3, all_57_3) =
% 194.82/30.93 | | | | | | | | | | | | | | | | | | | | | | | all_57_2 & op(e3, all_57_5) = all_57_4 & op(e3,
% 194.82/30.93 | | | | | | | | | | | | | | | | | | | | | | | all_57_7) = all_57_6 & op(e3, e3) = all_57_1 &
% 194.82/30.93 | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_3 & op(e3, e1) = all_57_5 &
% 194.82/30.93 | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_7 & op(e1, e3) = all_57_17 &
% 194.82/30.93 | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e3 & $i(all_57_0) & $i(all_57_1) &
% 194.82/30.93 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_2) & $i(all_57_3) & $i(all_57_4) &
% 194.82/30.93 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 194.82/30.93 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_17)) | (all_57_21 = e2 & ~ (all_57_8
% 194.82/30.93 | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_10 = e2) & ~ (all_57_12 =
% 194.82/30.93 | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_14 = e0) & ~ (all_57_19 =
% 194.82/30.93 | | | | | | | | | | | | | | | | | | | | | | | e1) & op(e2, all_57_9) = all_57_8 & op(e2,
% 194.82/30.93 | | | | | | | | | | | | | | | | | | | | | | | all_57_11) = all_57_10 & op(e2, all_57_13) =
% 194.82/30.93 | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & op(e2, all_57_15) = all_57_14 &
% 194.82/30.93 | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_9 & op(e2, e2) = all_57_11 &
% 194.82/30.93 | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_57_13 & op(e2, e0) = all_57_15
% 194.82/30.93 | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = all_57_19 & op(e1, e1) = e2 &
% 194.82/30.93 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8) & $i(all_57_9) & $i(all_57_10) &
% 194.82/30.93 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_12) & $i(all_57_13) &
% 194.82/30.93 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & $i(all_57_15) & $i(all_57_19)) |
% 194.82/30.93 | | | | | | | | | | | | | | | | | | | | | | | (op(e0, e0) = all_57_31 & $i(all_57_31) &
% 194.82/30.93 | | | | | | | | | | | | | | | | | | | | | | | ((all_57_21 = e0 & ~ (all_57_23 = e1) & ~
% 194.82/30.93 | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 194.82/30.93 | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) &
% 194.82/30.93 | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = all_57_23 &
% 194.82/30.93 | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_25) = all_57_24 & op(e0,
% 194.82/30.93 | | | | | | | | | | | | | | | | | | | | | | | all_57_27) = all_57_26 & op(e0, all_57_29)
% 194.82/30.93 | | | | | | | | | | | | | | | | | | | | | | | = all_57_28 & op(e0, all_57_31) = all_57_30
% 194.82/30.93 | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e3) = all_57_25 & op(e0, e2) =
% 194.82/30.93 | | | | | | | | | | | | | | | | | | | | | | | all_57_27 & op(e0, e1) = all_57_29 &
% 194.82/30.93 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23) & $i(all_57_24) &
% 194.82/30.93 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_25) & $i(all_57_26) &
% 194.82/30.93 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27) & $i(all_57_28) &
% 194.82/30.93 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29) & $i(all_57_30)) | (all_57_31
% 194.82/30.93 | | | | | | | | | | | | | | | | | | | | | | | = e3 & ~ (all_57_0 = e3) & ~ (all_57_2 =
% 194.82/30.93 | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_4 = e1) & ~ (all_57_6 =
% 194.82/30.93 | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_25 = e0) & op(e3,
% 194.82/30.93 | | | | | | | | | | | | | | | | | | | | | | | all_57_1) = all_57_0 & op(e3, all_57_3) =
% 194.82/30.93 | | | | | | | | | | | | | | | | | | | | | | | all_57_2 & op(e3, all_57_5) = all_57_4 &
% 194.82/30.93 | | | | | | | | | | | | | | | | | | | | | | | op(e3, all_57_7) = all_57_6 & op(e3, e3) =
% 194.82/30.93 | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e2) = all_57_3 & op(e3,
% 194.82/30.93 | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_5 & op(e3, e0) = all_57_7 &
% 194.82/30.93 | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_25 & $i(all_57_0) &
% 194.82/30.93 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_2) & $i(all_57_3) &
% 194.82/30.93 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4) & $i(all_57_5) & $i(all_57_6) &
% 194.82/30.93 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7) & $i(all_57_25)) | (all_57_31 =
% 194.82/30.93 | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_8 = e3) & ~ (all_57_10 =
% 194.82/30.93 | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_12 = e1) & ~ (all_57_14
% 194.82/30.93 | | | | | | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_27 = e0) & op(e2,
% 194.82/30.93 | | | | | | | | | | | | | | | | | | | | | | | all_57_9) = all_57_8 & op(e2, all_57_11) =
% 194.82/30.93 | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e2, all_57_13) = all_57_12 &
% 194.82/30.93 | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_15) = all_57_14 & op(e2, e3) =
% 194.82/30.93 | | | | | | | | | | | | | | | | | | | | | | | all_57_9 & op(e2, e2) = all_57_11 & op(e2,
% 194.82/30.93 | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_13 & op(e2, e0) = all_57_15 &
% 194.82/30.93 | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_27 & $i(all_57_8) &
% 194.82/30.93 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9) & $i(all_57_10) & $i(all_57_11)
% 194.82/30.93 | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_12) & $i(all_57_13) &
% 194.82/30.93 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & $i(all_57_15) &
% 194.82/30.93 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27)) | (all_57_31 = e1 & ~
% 194.82/30.93 | | | | | | | | | | | | | | | | | | | | | | | (all_57_16 = e3) & ~ (all_57_18 = e2) & ~
% 194.82/30.93 | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_22 = e0) & ~
% 194.82/30.93 | | | | | | | | | | | | | | | | | | | | | | | (all_57_29 = e0) & op(e1, all_57_17) =
% 194.82/30.93 | | | | | | | | | | | | | | | | | | | | | | | all_57_16 & op(e1, all_57_19) = all_57_18 &
% 194.82/30.93 | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_21) = all_57_20 & op(e1,
% 194.82/30.93 | | | | | | | | | | | | | | | | | | | | | | | all_57_23) = all_57_22 & op(e1, e3) =
% 194.82/30.93 | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e1, e2) = all_57_19 & op(e1,
% 194.82/30.93 | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_21 & op(e1, e0) = all_57_23 &
% 194.82/30.93 | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = all_57_29 & $i(all_57_16) &
% 194.82/30.93 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_17) & $i(all_57_18) &
% 194.82/30.93 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_20) &
% 194.82/30.93 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_22) &
% 194.82/30.93 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23) & $i(all_57_29))))
% 194.82/30.93 | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.93 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (8), (45), (376), (3923), (3945),
% 194.82/30.93 | | | | | | | | | | | | | | | | | | | | | | | (4012), (function-axioms) are inconsistent by
% 194.82/30.93 | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1932.
% 194.82/30.93 | | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.93 | | | | | | | | | | | | | | | | | | | | | | End of split
% 194.82/30.93 | | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.93 | | | | | | | | | | | | | | | | | | | | | End of split
% 194.82/30.93 | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.93 | | | | | | | | | | | | | | | | | | | | End of split
% 194.82/30.93 | | | | | | | | | | | | | | | | | | | |
% 194.82/30.93 | | | | | | | | | | | | | | | | | | | Case 2:
% 194.82/30.93 | | | | | | | | | | | | | | | | | | | |
% 194.82/30.93 | | | | | | | | | | | | | | | | | | | | (4013) (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_14 =
% 194.82/30.93 | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0)
% 194.82/30.93 | | | | | | | | | | | | | | | | | | | |
% 194.82/30.93 | | | | | | | | | | | | | | | | | | | | BETA: splitting (4013) gives:
% 194.82/30.93 | | | | | | | | | | | | | | | | | | | |
% 194.82/30.93 | | | | | | | | | | | | | | | | | | | | Case 1:
% 194.82/30.93 | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.93 | | | | | | | | | | | | | | | | | | | | | (4014) all_56_8 = e0 & op(e1, e1) = e0
% 194.82/30.93 | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.93 | | | | | | | | | | | | | | | | | | | | | ALPHA: (4014) implies:
% 194.82/30.93 | | | | | | | | | | | | | | | | | | | | | (4015) op(e1, e1) = e0
% 194.82/30.93 | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.93 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (3945), (4015), (function-axioms) are
% 194.82/30.93 | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1956.
% 194.82/30.93 | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.93 | | | | | | | | | | | | | | | | | | | | Case 2:
% 194.82/30.93 | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.93 | | | | | | | | | | | | | | | | | | | | | (4016) all_56_14 = e0 & op(e0, e1) = e0
% 194.82/30.93 | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.93 | | | | | | | | | | | | | | | | | | | | | ALPHA: (4016) implies:
% 194.82/30.93 | | | | | | | | | | | | | | | | | | | | | (4017) op(e0, e1) = e0
% 194.82/30.93 | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.93 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (157), (3975), (4017), (function-axioms) are
% 194.82/30.93 | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1894.
% 194.82/30.93 | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.93 | | | | | | | | | | | | | | | | | | | | End of split
% 194.82/30.93 | | | | | | | | | | | | | | | | | | | |
% 194.82/30.93 | | | | | | | | | | | | | | | | | | | End of split
% 194.82/30.93 | | | | | | | | | | | | | | | | | | |
% 194.82/30.93 | | | | | | | | | | | | | | | | | | End of split
% 194.82/30.93 | | | | | | | | | | | | | | | | | |
% 194.82/30.93 | | | | | | | | | | | | | | | | | End of split
% 194.82/30.93 | | | | | | | | | | | | | | | | |
% 194.82/30.93 | | | | | | | | | | | | | | | | End of split
% 194.82/30.93 | | | | | | | | | | | | | | | |
% 194.82/30.93 | | | | | | | | | | | | | | | Case 2:
% 194.82/30.93 | | | | | | | | | | | | | | | |
% 194.82/30.93 | | | | | | | | | | | | | | | | (4018) all_40_2 = e1
% 194.82/30.93 | | | | | | | | | | | | | | | |
% 194.82/30.93 | | | | | | | | | | | | | | | | COMBINE_EQS: (307), (4018) imply:
% 194.82/30.93 | | | | | | | | | | | | | | | | (4019) all_10_2 = e1
% 194.82/30.93 | | | | | | | | | | | | | | | |
% 194.82/30.93 | | | | | | | | | | | | | | | | REDUCE: (45), (4019) imply:
% 194.82/30.93 | | | | | | | | | | | | | | | | (4020) op(e0, e0) = e1
% 194.82/30.93 | | | | | | | | | | | | | | | |
% 194.82/30.93 | | | | | | | | | | | | | | | | BETA: splitting (222) gives:
% 194.82/30.93 | | | | | | | | | | | | | | | |
% 194.82/30.93 | | | | | | | | | | | | | | | | Case 1:
% 194.82/30.93 | | | | | | | | | | | | | | | | |
% 194.82/30.93 | | | | | | | | | | | | | | | | | (4021) (all_56_2 = e1 & op(e2, e3) = e1) | (all_56_3 = e1
% 194.82/30.93 | | | | | | | | | | | | | | | | | & op(e2, e2) = e1)
% 194.82/30.93 | | | | | | | | | | | | | | | | |
% 194.82/30.93 | | | | | | | | | | | | | | | | | BETA: splitting (4021) gives:
% 194.82/30.93 | | | | | | | | | | | | | | | | |
% 194.82/30.93 | | | | | | | | | | | | | | | | | Case 1:
% 194.82/30.93 | | | | | | | | | | | | | | | | | |
% 194.82/30.93 | | | | | | | | | | | | | | | | | | (4022) all_56_2 = e1 & op(e2, e3) = e1
% 194.82/30.93 | | | | | | | | | | | | | | | | | |
% 194.82/30.93 | | | | | | | | | | | | | | | | | | ALPHA: (4022) implies:
% 194.82/30.93 | | | | | | | | | | | | | | | | | | (4023) all_56_2 = e1
% 194.82/30.93 | | | | | | | | | | | | | | | | | |
% 194.82/30.93 | | | | | | | | | | | | | | | | | | BETA: splitting (226) gives:
% 194.82/30.93 | | | | | | | | | | | | | | | | | |
% 194.82/30.93 | | | | | | | | | | | | | | | | | | Case 1:
% 194.82/30.93 | | | | | | | | | | | | | | | | | | |
% 194.82/30.93 | | | | | | | | | | | | | | | | | | | (4024) (all_56_1 = e1 & op(e3, e2) = e1) | (all_56_3 = e1
% 194.82/30.93 | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1)
% 194.82/30.93 | | | | | | | | | | | | | | | | | | |
% 194.82/30.93 | | | | | | | | | | | | | | | | | | | BETA: splitting (4024) gives:
% 194.82/30.93 | | | | | | | | | | | | | | | | | | |
% 194.82/30.93 | | | | | | | | | | | | | | | | | | | Case 1:
% 194.82/30.93 | | | | | | | | | | | | | | | | | | | |
% 194.82/30.93 | | | | | | | | | | | | | | | | | | | | (4025) all_56_1 = e1 & op(e3, e2) = e1
% 194.82/30.93 | | | | | | | | | | | | | | | | | | | |
% 194.82/30.93 | | | | | | | | | | | | | | | | | | | | ALPHA: (4025) implies:
% 194.82/30.93 | | | | | | | | | | | | | | | | | | | | (4026) all_56_1 = e1
% 194.82/30.93 | | | | | | | | | | | | | | | | | | | |
% 194.82/30.93 | | | | | | | | | | | | | | | | | | | | BETA: splitting (202) gives:
% 194.82/30.93 | | | | | | | | | | | | | | | | | | | |
% 194.82/30.93 | | | | | | | | | | | | | | | | | | | | Case 1:
% 194.82/30.93 | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.93 | | | | | | | | | | | | | | | | | | | | | (4027) all_54_2 = e3
% 194.82/30.93 | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.93 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (271), (4027) imply:
% 194.82/30.93 | | | | | | | | | | | | | | | | | | | | | (4028) all_52_8 = e3
% 194.82/30.93 | | | | | | | | | | | | | | | | | | | | |
% 194.82/30.93 | | | | | | | | | | | | | | | | | | | | | SIMP: (4028) implies:
% 194.82/30.93 | | | | | | | | | | | | | | | | | | | | | (4029) all_52_8 = e3
% 195.62/30.93 | | | | | | | | | | | | | | | | | | | | |
% 195.62/30.93 | | | | | | | | | | | | | | | | | | | | | REDUCE: (123), (4029) imply:
% 195.62/30.93 | | | | | | | | | | | | | | | | | | | | | (4030) ~ (all_52_9 = e3)
% 195.62/30.93 | | | | | | | | | | | | | | | | | | | | |
% 195.62/30.93 | | | | | | | | | | | | | | | | | | | | | REDUCE: (121), (4029) imply:
% 195.62/30.93 | | | | | | | | | | | | | | | | | | | | | (4031) ~ (all_52_11 = e3)
% 195.62/30.93 | | | | | | | | | | | | | | | | | | | | |
% 195.62/30.93 | | | | | | | | | | | | | | | | | | | | | SIMP: (4031) implies:
% 195.62/30.93 | | | | | | | | | | | | | | | | | | | | | (4032) ~ (all_52_11 = e3)
% 195.62/30.93 | | | | | | | | | | | | | | | | | | | | |
% 195.62/30.93 | | | | | | | | | | | | | | | | | | | | | REDUCE: (120), (4029) imply:
% 195.62/30.93 | | | | | | | | | | | | | | | | | | | | | (4033) ~ (all_52_12 = e3)
% 195.62/30.93 | | | | | | | | | | | | | | | | | | | | |
% 195.62/30.93 | | | | | | | | | | | | | | | | | | | | | SIMP: (4033) implies:
% 195.62/30.93 | | | | | | | | | | | | | | | | | | | | | (4034) ~ (all_52_12 = e3)
% 195.62/30.93 | | | | | | | | | | | | | | | | | | | | |
% 195.62/30.93 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (212) gives:
% 195.62/30.93 | | | | | | | | | | | | | | | | | | | | |
% 195.62/30.93 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 195.62/30.93 | | | | | | | | | | | | | | | | | | | | | |
% 195.62/30.93 | | | | | | | | | | | | | | | | | | | | | | (4035) (all_56_9 = e3 & op(e3, e0) = e3) | (all_56_10 =
% 195.62/30.93 | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e0) = e3)
% 195.62/30.93 | | | | | | | | | | | | | | | | | | | | | |
% 195.62/30.93 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (168), (3899), (4034), (4035),
% 195.62/30.93 | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 195.62/30.93 | | | | | | | | | | | | | | | | | | | | | | #1185.
% 195.62/30.93 | | | | | | | | | | | | | | | | | | | | | |
% 195.62/30.93 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 195.62/30.93 | | | | | | | | | | | | | | | | | | | | | |
% 195.62/30.93 | | | | | | | | | | | | | | | | | | | | | | (4036) (all_56_11 = e3 & op(e1, e0) = e3) | (all_56_15 =
% 195.62/30.93 | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = e3)
% 195.62/30.93 | | | | | | | | | | | | | | | | | | | | | |
% 195.62/30.93 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4036) gives:
% 195.62/30.93 | | | | | | | | | | | | | | | | | | | | | |
% 195.62/30.93 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 195.62/30.93 | | | | | | | | | | | | | | | | | | | | | | |
% 195.62/30.93 | | | | | | | | | | | | | | | | | | | | | | | (4037) all_56_11 = e3 & op(e1, e0) = e3
% 195.62/30.93 | | | | | | | | | | | | | | | | | | | | | | |
% 195.62/30.93 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4037) implies:
% 195.62/30.93 | | | | | | | | | | | | | | | | | | | | | | | (4038) all_56_11 = e3
% 195.62/30.93 | | | | | | | | | | | | | | | | | | | | | | |
% 195.62/30.93 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (206) gives:
% 195.62/30.93 | | | | | | | | | | | | | | | | | | | | | | |
% 195.62/30.93 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 195.62/30.93 | | | | | | | | | | | | | | | | | | | | | | | |
% 195.62/30.93 | | | | | | | | | | | | | | | | | | | | | | | | (4039) all_56_15 = e0 & op(e0, e0) = e0
% 195.62/30.93 | | | | | | | | | | | | | | | | | | | | | | | |
% 195.62/30.93 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4039) implies:
% 195.62/30.93 | | | | | | | | | | | | | | | | | | | | | | | | (4040) op(e0, e0) = e0
% 195.62/30.93 | | | | | | | | | | | | | | | | | | | | | | | |
% 195.62/30.93 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (4020), (4040), (function-axioms) are
% 195.62/30.93 | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1708.
% 195.62/30.93 | | | | | | | | | | | | | | | | | | | | | | | |
% 195.62/30.93 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 195.62/30.93 | | | | | | | | | | | | | | | | | | | | | | | |
% 195.62/30.93 | | | | | | | | | | | | | | | | | | | | | | | | (4041) ((all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 =
% 195.62/30.93 | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_56_11 = e0 &
% 195.62/30.93 | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e0)) & ((all_56_12 = e0 & op(e0,
% 195.62/30.93 | | | | | | | | | | | | | | | | | | | | | | | | e3) = e0) | (all_56_13 = e0 & op(e0, e2) =
% 195.62/30.93 | | | | | | | | | | | | | | | | | | | | | | | | e0) | (all_56_14 = e0 & op(e0, e1) = e0))
% 195.62/30.93 | | | | | | | | | | | | | | | | | | | | | | | |
% 195.62/30.93 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4041) implies:
% 195.62/30.93 | | | | | | | | | | | | | | | | | | | | | | | | (4042) (all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 =
% 195.62/30.93 | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_56_11 = e0 & op(e1,
% 195.62/30.93 | | | | | | | | | | | | | | | | | | | | | | | | e0) = e0)
% 195.62/30.93 | | | | | | | | | | | | | | | | | | | | | | | |
% 195.62/30.93 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (220) gives:
% 195.62/30.93 | | | | | | | | | | | | | | | | | | | | | | | |
% 195.62/30.93 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 195.62/30.93 | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.62/30.93 | | | | | | | | | | | | | | | | | | | | | | | | | (4043) (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3
% 195.62/30.93 | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e3)
% 195.62/30.93 | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.62/30.93 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4043) gives:
% 195.62/30.93 | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.62/30.93 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 195.62/30.93 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.62/30.93 | | | | | | | | | | | | | | | | | | | | | | | | | | (4044) all_56_4 = e3 & op(e3, e1) = e3
% 195.62/30.93 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.62/30.93 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4044) implies:
% 195.62/30.93 | | | | | | | | | | | | | | | | | | | | | | | | | | (4045) all_56_4 = e3
% 195.62/30.93 | | | | | | | | | | | | | | | | | | | | | | | | | | (4046) op(e3, e1) = e3
% 195.62/30.93 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.62/30.93 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (209) gives:
% 195.62/30.93 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.62/30.93 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 195.62/30.93 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.62/30.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | (4047) (all_56_12 = e3 & op(e0, e3) = e3) | (all_56_13 =
% 195.62/30.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e2) = e3)
% 195.62/30.93 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.62/30.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4047) gives:
% 195.62/30.93 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.62/30.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 195.62/30.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.62/30.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4048) all_56_12 = e3 & op(e0, e3) = e3
% 195.62/30.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.62/30.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4048) implies:
% 195.62/30.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4049) op(e0, e3) = e3
% 195.62/30.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.62/30.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4042) gives:
% 195.62/30.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.62/30.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 195.62/30.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.62/30.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4050) all_56_9 = e0 & op(e3, e0) = e0
% 195.62/30.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.62/30.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4050) implies:
% 195.62/30.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4051) all_56_9 = e0
% 195.62/30.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.62/30.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (45), (160), (163),
% 195.62/30.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (165), (170), (206), (208), (209), (210), (211),
% 195.62/30.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (212), (213), (215), (219), (220), (221), (222),
% 195.62/30.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (229), (231), (232), (233), (234), (235), (236),
% 195.62/30.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (376), (3896), (3898), (3900), (3923), (3938),
% 195.62/30.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3941), (3942), (3945), (3951), (3956), (4038),
% 195.62/30.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4051), (function-axioms) are inconsistent by
% 195.62/30.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1166.
% 195.62/30.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.62/30.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 195.62/30.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.62/30.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4052) (all_56_10 = e0 & op(e2, e0) = e0) | (all_56_11 =
% 195.62/30.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e1, e0) = e0)
% 195.62/30.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.62/30.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4052) gives:
% 195.62/30.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.62/30.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 195.62/30.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.62/30.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4053) all_56_10 = e0 & op(e2, e0) = e0
% 195.62/30.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.62/30.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4053) implies:
% 195.62/30.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4054) op(e2, e0) = e0
% 195.62/30.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.62/30.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (223) gives:
% 195.62/30.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.62/30.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 195.62/30.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.62/30.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4055) (all_56_2 = e2 & op(e2, e3) = e2) | (all_56_3 = e2
% 195.62/30.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e2)
% 195.62/30.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.62/30.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (9), (3900), (4023), (4055),
% 195.62/30.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 195.62/30.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1165.
% 195.62/30.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.62/30.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 195.62/30.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.62/30.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4056) (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_10 =
% 195.62/30.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2)
% 195.62/30.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.62/30.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4056) gives:
% 195.62/30.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.62/30.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 195.62/30.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.62/30.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4057) all_56_5 = e2 & op(e2, e1) = e2
% 195.62/30.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.62/30.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4057) implies:
% 195.62/30.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4058) all_56_5 = e2
% 195.62/30.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.62/30.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (213) gives:
% 195.62/30.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.62/30.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 195.62/30.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.62/30.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4059) (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_7 = e0
% 195.62/30.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e0)
% 195.62/30.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.62/30.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4059) gives:
% 195.62/30.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.62/30.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 195.62/30.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.62/30.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4060) all_56_6 = e0 & op(e1, e3) = e0
% 195.62/30.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.62/30.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (163), (3951), (4060), (function-axioms) are
% 195.62/30.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1473.
% 195.62/30.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.62/30.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 195.62/30.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.62/30.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4061) all_56_7 = e0 & op(e1, e2) = e0
% 195.62/30.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.62/30.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4061) implies:
% 195.62/30.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4062) all_56_7 = e0
% 195.62/30.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.62/30.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (227) gives:
% 195.62/30.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.62/30.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 195.62/30.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.62/30.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4063) (all_56_1 = e2 & op(e3, e2) = e2) | (all_56_3 = e2
% 195.62/30.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e2)
% 195.62/30.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.62/30.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4063) gives:
% 195.62/30.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.62/30.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 195.62/30.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.62/30.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4064) all_56_1 = e2 & op(e3, e2) = e2
% 195.62/30.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.62/30.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4064) implies:
% 195.62/30.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4065) all_56_1 = e2
% 195.62/30.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.62/30.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4026), (4065) imply:
% 195.62/30.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4066) e2 = e1
% 195.62/30.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.62/30.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4066) implies:
% 195.62/30.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4067) e2 = e1
% 195.62/30.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.62/30.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4058), (4067) imply:
% 195.62/30.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4068) all_56_5 = e1
% 195.62/30.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.62/30.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (9), (217), (219), (3945),
% 195.62/30.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4045), (4068), (function-axioms) are inconsistent
% 195.62/30.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1159.
% 195.62/30.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.62/30.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 195.62/30.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.62/30.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4069) all_56_3 = e2 & op(e2, e2) = e2
% 195.62/30.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.62/30.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4069) implies:
% 195.62/30.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4070) op(e2, e2) = e2
% 195.62/30.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.62/30.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (3900), (4070), (function-axioms) are
% 195.62/30.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1963.
% 195.62/30.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.62/30.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 195.62/30.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.62/30.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 195.62/30.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.62/30.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4071) (all_56_7 = e2 & op(e1, e2) = e2) | (all_56_13 =
% 195.62/30.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e2)
% 195.62/30.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.62/30.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4071) gives:
% 195.62/30.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.62/30.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 195.62/30.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.62/30.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4072) all_56_7 = e2 & op(e1, e2) = e2
% 195.62/30.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.62/30.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4072) implies:
% 195.62/30.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4073) all_56_7 = e2
% 195.62/30.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.62/30.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (4062), (4073) are inconsistent by sub-proof
% 195.62/30.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1687.
% 195.62/30.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.62/30.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 195.62/30.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.62/30.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4074) all_56_13 = e2 & op(e0, e2) = e2
% 195.62/30.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.62/30.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4074) implies:
% 195.62/30.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4075) op(e0, e2) = e2
% 195.62/30.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.62/30.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (238) gives:
% 195.62/30.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.62/30.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 195.62/30.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.62/30.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4076) (all_57_3 = e3 & ~ (all_57_1 = e2) & ~ (all_57_8
% 195.62/30.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_10 = e2) & ~ (all_57_12 =
% 195.62/30.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_14 = e0) & op(e3, e3) =
% 195.62/30.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e2) = e3 & op(e2, all_57_9) =
% 195.62/30.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_8 & op(e2, all_57_11) = all_57_10 &
% 195.62/30.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_13) = all_57_12 & op(e2,
% 195.62/30.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15) = all_57_14 & op(e2, e3) = all_57_9
% 195.62/30.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = all_57_11 & op(e2, e1) =
% 195.62/30.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_13 & op(e2, e0) = all_57_15 &
% 195.62/30.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_8) & $i(all_57_9) &
% 195.62/30.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & $i(all_57_11) & $i(all_57_12) &
% 195.62/30.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13) & $i(all_57_14) & $i(all_57_15)) |
% 195.62/30.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_5 = e3 & ~ (all_57_1 = e1) & ~
% 195.62/30.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_16 = e3) & ~ (all_57_18 = e2) & ~
% 195.62/30.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_22 = e0) & op(e3,
% 195.62/30.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_1 & op(e3, e1) = e3 & op(e1,
% 195.62/30.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17) = all_57_16 & op(e1, all_57_19) =
% 195.62/30.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_18 & op(e1, all_57_21) = all_57_20 &
% 195.62/30.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_23) = all_57_22 & op(e1, e3) =
% 195.62/30.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e1, e2) = all_57_19 & op(e1, e1)
% 195.62/30.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_21 & op(e1, e0) = all_57_23 &
% 195.62/30.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_16) & $i(all_57_17) &
% 195.62/30.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_19) & $i(all_57_20) &
% 195.62/30.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_22) & $i(all_57_23)) |
% 195.62/30.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_7 = e3 & ~ (all_57_1 = e0) & ~
% 195.62/30.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 195.62/30.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) & op(e3,
% 195.62/30.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_1 & op(e3, e0) = e3 & op(e0,
% 195.62/30.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25) = all_57_24 & op(e0, all_57_27) =
% 195.62/30.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e0, all_57_29) = all_57_28 &
% 195.62/30.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_31) = all_57_30 & op(e0, e3) =
% 195.62/30.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_27 & op(e0, e1)
% 195.62/30.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_29 & op(e0, e0) = all_57_31 &
% 195.62/30.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_24) & $i(all_57_25) &
% 195.62/30.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_27) & $i(all_57_28) &
% 195.62/30.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29) & $i(all_57_30) & $i(all_57_31)) |
% 195.62/30.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e2 & ~ (all_57_0 = e3) & ~ (all_57_2
% 195.62/30.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2) & ~ (all_57_4 = e1) & ~ (all_57_6 =
% 195.62/30.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_11 = e3) & op(e3, all_57_1) =
% 195.62/30.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_0 & op(e3, all_57_3) = all_57_2 & op(e3,
% 195.62/30.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_5) = all_57_4 & op(e3, all_57_7) =
% 195.62/30.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_6 & op(e3, e3) = all_57_1 & op(e3, e2) =
% 195.62/30.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 & op(e3, e1) = all_57_5 & op(e3, e0) =
% 195.62/30.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7 & op(e2, e3) = e2 & op(e2, e2) =
% 195.62/30.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_11 & $i(all_57_0) & $i(all_57_1) &
% 195.62/30.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_2) & $i(all_57_3) & $i(all_57_4) &
% 195.62/30.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 195.62/30.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11))
% 195.62/30.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.62/30.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4076) gives:
% 195.62/30.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.62/30.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 195.62/30.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.62/30.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4077) (all_57_3 = e3 & ~ (all_57_1 = e2) & ~ (all_57_8
% 195.62/30.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_10 = e2) & ~ (all_57_12 =
% 195.62/30.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_14 = e0) & op(e3, e3) =
% 195.62/30.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e2) = e3 & op(e2, all_57_9) =
% 195.62/30.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_8 & op(e2, all_57_11) = all_57_10 &
% 195.62/30.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_13) = all_57_12 & op(e2,
% 195.62/30.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15) = all_57_14 & op(e2, e3) = all_57_9
% 195.62/30.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = all_57_11 & op(e2, e1) =
% 195.62/30.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_13 & op(e2, e0) = all_57_15 &
% 195.62/30.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_8) & $i(all_57_9) &
% 195.62/30.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & $i(all_57_11) & $i(all_57_12) &
% 195.62/30.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13) & $i(all_57_14) & $i(all_57_15)) |
% 195.62/30.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_5 = e3 & ~ (all_57_1 = e1) & ~
% 195.62/30.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_16 = e3) & ~ (all_57_18 = e2) & ~
% 195.62/30.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_22 = e0) & op(e3,
% 195.62/30.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_1 & op(e3, e1) = e3 & op(e1,
% 195.62/30.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17) = all_57_16 & op(e1, all_57_19) =
% 195.62/30.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_18 & op(e1, all_57_21) = all_57_20 &
% 195.62/30.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_23) = all_57_22 & op(e1, e3) =
% 195.62/30.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e1, e2) = all_57_19 & op(e1, e1)
% 195.62/30.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_21 & op(e1, e0) = all_57_23 &
% 195.62/30.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_16) & $i(all_57_17) &
% 195.62/30.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_19) & $i(all_57_20) &
% 195.62/30.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_22) & $i(all_57_23))
% 195.62/30.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.62/30.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (170), (3896), (3945), (4077), (function-axioms)
% 195.62/30.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1484.
% 195.62/30.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.62/30.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 195.62/30.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.62/30.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4078) (all_57_7 = e3 & ~ (all_57_1 = e0) & ~
% 195.62/30.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 195.62/30.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) & op(e3,
% 195.62/30.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_1 & op(e3, e0) = e3 & op(e0,
% 195.62/30.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25) = all_57_24 & op(e0, all_57_27) =
% 195.62/30.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e0, all_57_29) = all_57_28 &
% 195.62/30.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_31) = all_57_30 & op(e0, e3) =
% 195.62/30.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_27 & op(e0, e1)
% 195.62/30.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_29 & op(e0, e0) = all_57_31 &
% 195.62/30.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_24) & $i(all_57_25) &
% 195.62/30.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_27) & $i(all_57_28) &
% 195.62/30.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29) & $i(all_57_30) & $i(all_57_31)) |
% 195.62/30.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e2 & ~ (all_57_0 = e3) & ~ (all_57_2
% 195.62/30.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2) & ~ (all_57_4 = e1) & ~ (all_57_6 =
% 195.62/30.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_11 = e3) & op(e3, all_57_1) =
% 195.62/30.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_0 & op(e3, all_57_3) = all_57_2 & op(e3,
% 195.62/30.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_5) = all_57_4 & op(e3, all_57_7) =
% 195.62/30.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_6 & op(e3, e3) = all_57_1 & op(e3, e2) =
% 195.62/30.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 & op(e3, e1) = all_57_5 & op(e3, e0) =
% 195.62/30.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7 & op(e2, e3) = e2 & op(e2, e2) =
% 195.62/30.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_11 & $i(all_57_0) & $i(all_57_1) &
% 195.62/30.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_2) & $i(all_57_3) & $i(all_57_4) &
% 195.62/30.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 195.62/30.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11))
% 195.62/30.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.62/30.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (3900), (4049), (4078), (function-axioms) are
% 195.62/30.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1158.
% 195.62/30.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.62/30.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 195.62/30.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.62/30.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 195.62/30.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.62/30.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4079) (all_57_13 = e2 & ~ (all_57_11 = e1) & ~
% 195.62/30.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_16 = e3) & ~ (all_57_18 = e2) & ~
% 195.62/30.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_22 = e0) & op(e2,
% 195.62/30.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_11 & op(e2, e1) = e2 & op(e1,
% 195.62/30.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17) = all_57_16 & op(e1, all_57_19) =
% 195.62/30.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_18 & op(e1, all_57_21) = all_57_20 &
% 195.62/30.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_23) = all_57_22 & op(e1, e3) =
% 195.62/30.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e1, e2) = all_57_19 & op(e1, e1)
% 195.62/30.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_21 & op(e1, e0) = all_57_23 &
% 195.62/30.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_16) & $i(all_57_17) &
% 195.62/30.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_19) & $i(all_57_20) &
% 195.62/30.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_22) & $i(all_57_23)) |
% 195.62/30.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e2 & ~ (all_57_11 = e0) & ~
% 195.62/30.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 195.62/30.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) & op(e2,
% 195.62/30.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_11 & op(e2, e0) = e2 & op(e0,
% 195.62/30.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25) = all_57_24 & op(e0, all_57_27) =
% 195.62/30.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e0, all_57_29) = all_57_28 &
% 195.62/30.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_31) = all_57_30 & op(e0, e3) =
% 195.62/30.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_27 & op(e0, e1)
% 195.62/30.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_29 & op(e0, e0) = all_57_31 &
% 195.62/30.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_24) & $i(all_57_25) &
% 195.62/30.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_27) & $i(all_57_28) &
% 195.62/30.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29) & $i(all_57_30) & $i(all_57_31)) |
% 195.62/30.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_17 = e1 & ~ (all_57_0 = e3) & ~
% 195.62/30.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e2) & ~ (all_57_4 = e1) & ~
% 195.62/30.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_6 = e0) & ~ (all_57_21 = e3) & op(e3,
% 195.62/30.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1) = all_57_0 & op(e3, all_57_3) =
% 195.62/30.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_2 & op(e3, all_57_5) = all_57_4 & op(e3,
% 195.62/30.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7) = all_57_6 & op(e3, e3) = all_57_1 &
% 195.62/30.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_3 & op(e3, e1) = all_57_5 &
% 195.62/30.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_7 & op(e1, e3) = e1 & op(e1,
% 195.62/30.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_21 & $i(all_57_0) & $i(all_57_1)
% 195.62/30.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_2) & $i(all_57_3) & $i(all_57_4) &
% 195.62/30.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 195.62/30.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21)) | (all_57_19 = e1 & ~ (all_57_8
% 195.62/30.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_10 = e2) & ~ (all_57_12 =
% 195.62/30.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_14 = e0) & ~ (all_57_21 =
% 195.62/30.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & op(e2, all_57_9) = all_57_8 & op(e2,
% 195.62/30.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_11) = all_57_10 & op(e2, all_57_13) =
% 195.62/30.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & op(e2, all_57_15) = all_57_14 &
% 195.62/30.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_9 & op(e2, e2) = all_57_11 &
% 195.62/30.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_57_13 & op(e2, e0) = all_57_15
% 195.62/30.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e1 & op(e1, e1) = all_57_21 &
% 195.62/30.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8) & $i(all_57_9) & $i(all_57_10) &
% 195.62/30.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_12) & $i(all_57_13) &
% 195.62/30.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & $i(all_57_15) & $i(all_57_21)) |
% 195.62/30.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (op(e0, e0) = all_57_31 & $i(all_57_31) &
% 195.62/30.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_23 = e1 & ~ (all_57_21 = e0) & ~
% 195.62/30.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 195.62/30.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) &
% 195.62/30.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_21 & op(e1, e0) = e1 &
% 195.62/30.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_25) = all_57_24 & op(e0,
% 195.62/30.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27) = all_57_26 & op(e0, all_57_29)
% 195.62/30.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_28 & op(e0, all_57_31) = all_57_30
% 195.62/30.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e3) = all_57_25 & op(e0, e2) =
% 195.62/30.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27 & op(e0, e1) = all_57_29 &
% 195.62/30.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_24) &
% 195.62/30.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_25) & $i(all_57_26) &
% 195.62/30.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27) & $i(all_57_28) &
% 195.62/30.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29) & $i(all_57_30)) | (all_57_25
% 195.62/30.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & ~ (all_57_0 = e3) & ~ (all_57_2 =
% 195.62/30.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_4 = e1) & ~ (all_57_6 =
% 195.62/30.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_31 = e3) & op(e3,
% 195.62/30.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1) = all_57_0 & op(e3, all_57_3) =
% 195.62/30.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_2 & op(e3, all_57_5) = all_57_4 &
% 195.62/30.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, all_57_7) = all_57_6 & op(e3, e3) =
% 195.62/30.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e2) = all_57_3 & op(e3,
% 195.62/30.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_5 & op(e3, e0) = all_57_7 &
% 195.62/30.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_0) &
% 195.62/30.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_2) & $i(all_57_3) &
% 195.62/30.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4) & $i(all_57_5) & $i(all_57_6) &
% 195.62/30.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7)) | (all_57_27 = e0 & ~
% 195.62/30.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e3) & ~ (all_57_10 = e2) & ~
% 195.62/30.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e1) & ~ (all_57_14 = e0) & ~
% 195.62/30.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e2) & op(e2, all_57_9) =
% 195.62/30.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_8 & op(e2, all_57_11) = all_57_10 &
% 195.62/30.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_13) = all_57_12 & op(e2,
% 195.62/30.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15) = all_57_14 & op(e2, e3) =
% 195.62/30.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_9 & op(e2, e2) = all_57_11 & op(e2,
% 195.62/30.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_13 & op(e2, e0) = all_57_15 &
% 195.62/30.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_8) &
% 195.62/30.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9) & $i(all_57_10) & $i(all_57_11)
% 195.62/30.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_12) & $i(all_57_13) &
% 195.62/30.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & $i(all_57_15)) | (all_57_29
% 195.62/30.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & ~ (all_57_16 = e3) & ~ (all_57_18 =
% 195.62/30.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_20 = e1) & ~ (all_57_22
% 195.62/30.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_31 = e1) & op(e1,
% 195.62/30.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17) = all_57_16 & op(e1, all_57_19)
% 195.62/30.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_18 & op(e1, all_57_21) = all_57_20
% 195.62/30.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, all_57_23) = all_57_22 & op(e1, e3)
% 195.62/30.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_17 & op(e1, e2) = all_57_19 &
% 195.62/30.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_21 & op(e1, e0) =
% 195.62/30.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23 & op(e0, e1) = e0 & $i(all_57_16)
% 195.62/30.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_17) & $i(all_57_18) &
% 195.62/30.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_20) &
% 195.62/30.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_22) &
% 195.62/30.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23))))
% 195.62/30.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.62/30.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4079) gives:
% 195.62/30.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.62/30.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 195.62/30.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.62/30.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4080) (all_57_13 = e2 & ~ (all_57_11 = e1) & ~
% 195.62/30.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_16 = e3) & ~ (all_57_18 = e2) & ~
% 195.62/30.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_22 = e0) & op(e2,
% 195.62/30.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_11 & op(e2, e1) = e2 & op(e1,
% 195.62/30.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17) = all_57_16 & op(e1, all_57_19) =
% 195.62/30.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_18 & op(e1, all_57_21) = all_57_20 &
% 195.62/30.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_23) = all_57_22 & op(e1, e3) =
% 195.62/30.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e1, e2) = all_57_19 & op(e1, e1)
% 195.62/30.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_21 & op(e1, e0) = all_57_23 &
% 195.62/30.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_16) & $i(all_57_17) &
% 195.62/30.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_19) & $i(all_57_20) &
% 195.62/30.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_22) & $i(all_57_23)) |
% 195.62/30.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e2 & ~ (all_57_11 = e0) & ~
% 195.62/30.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 195.62/30.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) & op(e2,
% 195.62/30.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_11 & op(e2, e0) = e2 & op(e0,
% 195.62/30.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25) = all_57_24 & op(e0, all_57_27) =
% 195.62/30.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e0, all_57_29) = all_57_28 &
% 195.62/30.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_31) = all_57_30 & op(e0, e3) =
% 195.62/30.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_27 & op(e0, e1)
% 195.62/30.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_29 & op(e0, e0) = all_57_31 &
% 195.62/30.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_24) & $i(all_57_25) &
% 195.62/30.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_27) & $i(all_57_28) &
% 195.62/30.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29) & $i(all_57_30) & $i(all_57_31))
% 195.62/30.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.62/30.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (3945), (4049), (4080), (function-axioms) are
% 195.62/30.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1157.
% 195.62/30.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.62/30.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 195.62/30.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.62/30.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4081) (all_57_17 = e1 & ~ (all_57_0 = e3) & ~
% 195.62/30.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e2) & ~ (all_57_4 = e1) & ~
% 195.62/30.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_6 = e0) & ~ (all_57_21 = e3) & op(e3,
% 195.62/30.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1) = all_57_0 & op(e3, all_57_3) =
% 195.62/30.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_2 & op(e3, all_57_5) = all_57_4 & op(e3,
% 195.62/30.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7) = all_57_6 & op(e3, e3) = all_57_1 &
% 195.62/30.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_3 & op(e3, e1) = all_57_5 &
% 195.62/30.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_7 & op(e1, e3) = e1 & op(e1,
% 195.62/30.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_21 & $i(all_57_0) & $i(all_57_1)
% 195.62/30.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_2) & $i(all_57_3) & $i(all_57_4) &
% 195.62/30.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 195.62/30.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21)) | (all_57_19 = e1 & ~ (all_57_8
% 195.62/30.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_10 = e2) & ~ (all_57_12 =
% 195.62/30.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_14 = e0) & ~ (all_57_21 =
% 195.62/30.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & op(e2, all_57_9) = all_57_8 & op(e2,
% 195.62/30.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_11) = all_57_10 & op(e2, all_57_13) =
% 195.62/30.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & op(e2, all_57_15) = all_57_14 &
% 195.62/30.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_9 & op(e2, e2) = all_57_11 &
% 195.62/30.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_57_13 & op(e2, e0) = all_57_15
% 195.62/30.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e1 & op(e1, e1) = all_57_21 &
% 195.62/30.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8) & $i(all_57_9) & $i(all_57_10) &
% 195.62/30.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_12) & $i(all_57_13) &
% 195.62/30.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & $i(all_57_15) & $i(all_57_21)) |
% 195.62/30.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (op(e0, e0) = all_57_31 & $i(all_57_31) &
% 195.62/30.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_23 = e1 & ~ (all_57_21 = e0) & ~
% 195.62/30.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 195.62/30.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) &
% 195.62/30.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_21 & op(e1, e0) = e1 &
% 195.62/30.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_25) = all_57_24 & op(e0,
% 195.62/30.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27) = all_57_26 & op(e0, all_57_29)
% 195.62/30.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_28 & op(e0, all_57_31) = all_57_30
% 195.62/30.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e3) = all_57_25 & op(e0, e2) =
% 195.62/30.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27 & op(e0, e1) = all_57_29 &
% 195.62/30.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_24) &
% 195.62/30.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_25) & $i(all_57_26) &
% 195.62/30.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27) & $i(all_57_28) &
% 195.62/30.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29) & $i(all_57_30)) | (all_57_25
% 195.62/30.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & ~ (all_57_0 = e3) & ~ (all_57_2 =
% 195.62/30.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_4 = e1) & ~ (all_57_6 =
% 195.62/30.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_31 = e3) & op(e3,
% 195.62/30.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1) = all_57_0 & op(e3, all_57_3) =
% 195.62/30.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_2 & op(e3, all_57_5) = all_57_4 &
% 195.62/30.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, all_57_7) = all_57_6 & op(e3, e3) =
% 195.62/30.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e2) = all_57_3 & op(e3,
% 195.62/30.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_5 & op(e3, e0) = all_57_7 &
% 195.62/30.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_0) &
% 195.62/30.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_2) & $i(all_57_3) &
% 195.62/30.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4) & $i(all_57_5) & $i(all_57_6) &
% 195.62/30.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7)) | (all_57_27 = e0 & ~
% 195.62/30.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e3) & ~ (all_57_10 = e2) & ~
% 195.62/30.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e1) & ~ (all_57_14 = e0) & ~
% 195.62/30.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e2) & op(e2, all_57_9) =
% 195.62/30.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_8 & op(e2, all_57_11) = all_57_10 &
% 195.62/30.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_13) = all_57_12 & op(e2,
% 195.62/30.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15) = all_57_14 & op(e2, e3) =
% 195.62/30.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_9 & op(e2, e2) = all_57_11 & op(e2,
% 195.62/30.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_13 & op(e2, e0) = all_57_15 &
% 195.62/30.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_8) &
% 195.62/30.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9) & $i(all_57_10) & $i(all_57_11)
% 195.62/30.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_12) & $i(all_57_13) &
% 195.62/30.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & $i(all_57_15)) | (all_57_29
% 195.62/30.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & ~ (all_57_16 = e3) & ~ (all_57_18 =
% 195.62/30.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_20 = e1) & ~ (all_57_22
% 195.62/30.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_31 = e1) & op(e1,
% 195.62/30.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17) = all_57_16 & op(e1, all_57_19)
% 195.62/30.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_18 & op(e1, all_57_21) = all_57_20
% 195.62/30.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, all_57_23) = all_57_22 & op(e1, e3)
% 195.62/30.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_17 & op(e1, e2) = all_57_19 &
% 195.62/30.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_21 & op(e1, e0) =
% 195.62/30.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23 & op(e0, e1) = e0 & $i(all_57_16)
% 195.62/30.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_17) & $i(all_57_18) &
% 195.62/30.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_20) &
% 195.62/30.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_22) &
% 195.62/30.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23))))
% 195.62/30.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.62/30.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4081) gives:
% 195.62/30.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.62/30.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 195.62/30.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.62/30.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4082) all_57_17 = e1 & ~ (all_57_0 = e3) & ~ (all_57_2
% 195.62/30.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2) & ~ (all_57_4 = e1) & ~ (all_57_6 = e0)
% 195.62/30.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_21 = e3) & op(e3, all_57_1) =
% 195.62/30.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_0 & op(e3, all_57_3) = all_57_2 & op(e3,
% 195.62/30.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_5) = all_57_4 & op(e3, all_57_7) =
% 195.62/30.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_6 & op(e3, e3) = all_57_1 & op(e3, e2) =
% 195.62/30.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 & op(e3, e1) = all_57_5 & op(e3, e0) =
% 195.62/30.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7 & op(e1, e3) = e1 & op(e1, e1) =
% 195.62/30.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_21 & $i(all_57_0) & $i(all_57_1) &
% 195.62/30.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_2) & $i(all_57_3) & $i(all_57_4) &
% 195.62/30.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 195.62/30.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21)
% 195.62/30.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.62/30.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4082) implies:
% 195.62/30.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4083) op(e1, e3) = e1
% 195.62/30.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.62/30.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (163), (3938), (4083), (function-axioms) are
% 195.62/30.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1939.
% 195.62/30.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.62/30.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 195.62/30.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.62/30.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4084) (all_57_19 = e1 & ~ (all_57_8 = e3) & ~
% 195.62/30.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e2) & ~ (all_57_12 = e1) & ~
% 195.62/30.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e0) & ~ (all_57_21 = e2) & op(e2,
% 195.62/30.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_9) = all_57_8 & op(e2, all_57_11) =
% 195.62/30.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e2, all_57_13) = all_57_12 &
% 195.62/30.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_15) = all_57_14 & op(e2, e3) =
% 195.62/30.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_9 & op(e2, e2) = all_57_11 & op(e2, e1) =
% 195.62/30.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_13 & op(e2, e0) = all_57_15 & op(e1, e2)
% 195.62/30.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & op(e1, e1) = all_57_21 & $i(all_57_8) &
% 195.62/30.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9) & $i(all_57_10) & $i(all_57_11) &
% 195.62/30.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & $i(all_57_13) & $i(all_57_14) &
% 195.62/30.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & $i(all_57_21)) | (op(e0, e0) =
% 195.62/30.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_31 & $i(all_57_31) & ((all_57_23 = e1 &
% 195.62/30.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_21 = e0) & ~ (all_57_24 = e3) &
% 195.62/30.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_26 = e2) & ~ (all_57_28 = e1) &
% 195.62/30.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_30 = e0) & op(e1, e1) = all_57_21
% 195.62/30.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e0) = e1 & op(e0, all_57_25) =
% 195.62/30.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_24 & op(e0, all_57_27) = all_57_26 &
% 195.62/30.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_29) = all_57_28 & op(e0,
% 195.62/30.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_31) = all_57_30 & op(e0, e3) =
% 195.62/30.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_27 & op(e0,
% 195.62/30.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_29 & $i(all_57_21) &
% 195.62/30.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_24) & $i(all_57_25) &
% 195.62/30.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_27) &
% 195.62/30.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28) & $i(all_57_29) &
% 195.62/30.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_25 = e0 & ~
% 195.62/30.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_0 = e3) & ~ (all_57_2 = e2) & ~
% 195.62/30.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1) & ~ (all_57_6 = e0) & ~
% 195.62/30.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e3) & op(e3, all_57_1) =
% 195.62/30.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_0 & op(e3, all_57_3) = all_57_2 &
% 195.62/30.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, all_57_5) = all_57_4 & op(e3,
% 195.62/30.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7) = all_57_6 & op(e3, e3) =
% 195.62/30.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e2) = all_57_3 & op(e3,
% 195.62/30.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_5 & op(e3, e0) = all_57_7 &
% 195.62/30.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_0) &
% 195.62/30.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_2) & $i(all_57_3) &
% 195.62/30.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4) & $i(all_57_5) & $i(all_57_6) &
% 195.62/30.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7)) | (all_57_27 = e0 & ~
% 195.62/30.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e3) & ~ (all_57_10 = e2) & ~
% 195.62/30.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e1) & ~ (all_57_14 = e0) & ~
% 195.62/30.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e2) & op(e2, all_57_9) =
% 195.62/30.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_8 & op(e2, all_57_11) = all_57_10 &
% 195.62/30.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_13) = all_57_12 & op(e2,
% 195.62/30.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15) = all_57_14 & op(e2, e3) =
% 195.62/30.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_9 & op(e2, e2) = all_57_11 & op(e2,
% 195.62/30.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_13 & op(e2, e0) = all_57_15 &
% 195.62/30.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_8) &
% 195.62/30.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9) & $i(all_57_10) & $i(all_57_11)
% 195.62/30.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_12) & $i(all_57_13) &
% 195.62/30.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & $i(all_57_15)) | (all_57_29
% 195.62/30.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & ~ (all_57_16 = e3) & ~ (all_57_18 =
% 195.62/30.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_20 = e1) & ~ (all_57_22
% 195.62/30.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_31 = e1) & op(e1,
% 195.62/30.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17) = all_57_16 & op(e1, all_57_19)
% 195.62/30.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_18 & op(e1, all_57_21) = all_57_20
% 195.62/30.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, all_57_23) = all_57_22 & op(e1, e3)
% 195.62/30.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_17 & op(e1, e2) = all_57_19 &
% 195.62/30.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_21 & op(e1, e0) =
% 195.62/30.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23 & op(e0, e1) = e0 & $i(all_57_16)
% 195.62/30.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_17) & $i(all_57_18) &
% 195.62/30.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_20) &
% 195.62/30.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_22) &
% 195.62/30.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23))))
% 195.62/30.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.62/30.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4084) gives:
% 195.62/30.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.62/30.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 195.62/30.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.62/30.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4085) all_57_19 = e1 & ~ (all_57_8 = e3) & ~
% 195.62/30.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e2) & ~ (all_57_12 = e1) & ~
% 195.62/30.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e0) & ~ (all_57_21 = e2) & op(e2,
% 195.62/30.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_9) = all_57_8 & op(e2, all_57_11) =
% 195.62/30.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e2, all_57_13) = all_57_12 & op(e2,
% 195.62/30.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15) = all_57_14 & op(e2, e3) = all_57_9 &
% 195.62/30.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_11 & op(e2, e1) = all_57_13 &
% 195.62/30.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_15 & op(e1, e2) = e1 & op(e1,
% 195.62/30.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_21 & $i(all_57_8) & $i(all_57_9) &
% 195.62/30.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & $i(all_57_11) & $i(all_57_12) &
% 195.62/30.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13) & $i(all_57_14) & $i(all_57_15) &
% 195.62/30.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21)
% 195.62/30.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.62/30.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4085) implies:
% 195.62/30.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4086) ~ (all_57_14 = e0)
% 195.62/30.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4087) op(e2, e0) = all_57_15
% 195.62/30.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4088) op(e2, all_57_15) = all_57_14
% 195.62/30.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.62/30.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4054), (4086), (4087), (4088), (function-axioms)
% 195.62/30.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1156.
% 195.62/30.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.62/30.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 195.62/30.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.62/30.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4089) op(e0, e0) = all_57_31 & $i(all_57_31) &
% 195.62/30.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_23 = e1 & ~ (all_57_21 = e0) & ~
% 195.62/30.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 195.62/30.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) &
% 195.62/30.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_21 & op(e1, e0) = e1 &
% 195.62/30.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_25) = all_57_24 & op(e0,
% 195.62/30.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27) = all_57_26 & op(e0, all_57_29) =
% 195.62/30.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_28 & op(e0, all_57_31) = all_57_30 &
% 195.62/30.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_25 & op(e0, e2) =
% 195.62/30.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27 & op(e0, e1) = all_57_29 &
% 195.62/30.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_24) & $i(all_57_25)
% 195.62/30.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_26) & $i(all_57_27) &
% 195.62/30.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28) & $i(all_57_29) & $i(all_57_30))
% 195.62/30.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_25 = e0 & ~ (all_57_0 = e3) & ~
% 195.62/30.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e2) & ~ (all_57_4 = e1) & ~
% 195.62/30.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_6 = e0) & ~ (all_57_31 = e3) & op(e3,
% 195.62/30.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1) = all_57_0 & op(e3, all_57_3) =
% 195.62/30.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_2 & op(e3, all_57_5) = all_57_4 &
% 195.62/30.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, all_57_7) = all_57_6 & op(e3, e3) =
% 195.62/30.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e2) = all_57_3 & op(e3, e1)
% 195.62/30.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_5 & op(e3, e0) = all_57_7 & op(e0,
% 195.62/30.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e0 & $i(all_57_0) & $i(all_57_1) &
% 195.62/30.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_2) & $i(all_57_3) & $i(all_57_4) &
% 195.62/30.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_6) & $i(all_57_7)) |
% 195.62/30.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_27 = e0 & ~ (all_57_8 = e3) & ~
% 195.62/30.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e2) & ~ (all_57_12 = e1) & ~
% 195.62/30.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e0) & ~ (all_57_31 = e2) &
% 195.62/30.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_9) = all_57_8 & op(e2,
% 195.62/30.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_11) = all_57_10 & op(e2, all_57_13) =
% 195.62/30.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & op(e2, all_57_15) = all_57_14 &
% 195.62/30.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_9 & op(e2, e2) = all_57_11
% 195.62/30.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = all_57_13 & op(e2, e0) =
% 195.62/30.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15 & op(e0, e2) = e0 & $i(all_57_8) &
% 195.62/30.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9) & $i(all_57_10) & $i(all_57_11) &
% 195.62/30.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & $i(all_57_13) & $i(all_57_14)
% 195.62/30.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_15)) | (all_57_29 = e0 & ~
% 195.62/30.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_16 = e3) & ~ (all_57_18 = e2) & ~
% 195.62/30.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_22 = e0) & ~
% 195.62/30.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e1) & op(e1, all_57_17) =
% 195.62/30.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_16 & op(e1, all_57_19) = all_57_18 &
% 195.62/30.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_21) = all_57_20 & op(e1,
% 195.62/30.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23) = all_57_22 & op(e1, e3) =
% 195.62/30.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e1, e2) = all_57_19 & op(e1,
% 195.62/30.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_21 & op(e1, e0) = all_57_23 &
% 195.62/30.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_16) &
% 195.62/30.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_17) & $i(all_57_18) & $i(all_57_19)
% 195.62/30.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_20) & $i(all_57_21) &
% 195.62/30.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_23)))
% 195.62/30.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.62/30.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4089) implies:
% 195.62/30.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4090) (all_57_23 = e1 & ~ (all_57_21 = e0) & ~
% 195.62/30.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 195.62/30.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) & op(e1,
% 195.62/30.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_21 & op(e1, e0) = e1 & op(e0,
% 195.62/30.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25) = all_57_24 & op(e0, all_57_27) =
% 195.62/30.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e0, all_57_29) = all_57_28 &
% 195.62/30.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_31) = all_57_30 & op(e0, e3) =
% 195.62/30.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_27 & op(e0, e1)
% 195.62/30.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_29 & $i(all_57_21) & $i(all_57_24) &
% 195.62/30.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_25) & $i(all_57_26) & $i(all_57_27) &
% 195.62/30.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28) & $i(all_57_29) & $i(all_57_30)) |
% 195.62/30.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_25 = e0 & ~ (all_57_0 = e3) & ~
% 195.62/30.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e2) & ~ (all_57_4 = e1) & ~
% 195.62/30.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_6 = e0) & ~ (all_57_31 = e3) & op(e3,
% 195.62/30.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1) = all_57_0 & op(e3, all_57_3) =
% 195.62/30.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_2 & op(e3, all_57_5) = all_57_4 & op(e3,
% 195.62/30.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7) = all_57_6 & op(e3, e3) = all_57_1 &
% 195.62/30.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_3 & op(e3, e1) = all_57_5 &
% 195.62/30.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_7 & op(e0, e3) = e0 &
% 195.62/30.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_0) & $i(all_57_1) & $i(all_57_2) &
% 195.62/30.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_3) & $i(all_57_4) & $i(all_57_5) &
% 195.62/30.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_6) & $i(all_57_7)) | (all_57_27 = e0 &
% 195.62/30.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_8 = e3) & ~ (all_57_10 = e2) & ~
% 195.62/30.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e1) & ~ (all_57_14 = e0) & ~
% 195.62/30.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e2) & op(e2, all_57_9) = all_57_8 &
% 195.62/30.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_11) = all_57_10 & op(e2,
% 195.62/30.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_13) = all_57_12 & op(e2, all_57_15) =
% 195.62/30.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_14 & op(e2, e3) = all_57_9 & op(e2, e2) =
% 195.62/30.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_11 & op(e2, e1) = all_57_13 & op(e2, e0)
% 195.62/30.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_15 & op(e0, e2) = e0 & $i(all_57_8) &
% 195.62/30.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9) & $i(all_57_10) & $i(all_57_11) &
% 195.62/30.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & $i(all_57_13) & $i(all_57_14) &
% 195.62/30.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15)) | (all_57_29 = e0 & ~ (all_57_16
% 195.62/30.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_18 = e2) & ~ (all_57_20 =
% 195.62/30.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_22 = e0) & ~ (all_57_31 =
% 195.62/30.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & op(e1, all_57_17) = all_57_16 & op(e1,
% 195.62/30.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_19) = all_57_18 & op(e1, all_57_21) =
% 195.62/30.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20 & op(e1, all_57_23) = all_57_22 &
% 195.62/30.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_17 & op(e1, e2) = all_57_19
% 195.62/30.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = all_57_21 & op(e1, e0) =
% 195.62/30.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23 & op(e0, e1) = e0 & $i(all_57_16) &
% 195.62/30.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_17) & $i(all_57_18) & $i(all_57_19) &
% 195.62/30.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_20) & $i(all_57_21) & $i(all_57_22) &
% 195.62/30.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23))
% 195.62/30.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.62/30.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4090) gives:
% 195.62/30.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.62/30.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 195.62/30.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.62/30.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4091) (all_57_23 = e1 & ~ (all_57_21 = e0) & ~
% 195.62/30.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 195.62/30.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) & op(e1,
% 195.62/30.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_21 & op(e1, e0) = e1 & op(e0,
% 195.62/30.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25) = all_57_24 & op(e0, all_57_27) =
% 195.62/30.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e0, all_57_29) = all_57_28 &
% 195.62/30.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_31) = all_57_30 & op(e0, e3) =
% 195.62/30.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_27 & op(e0, e1)
% 195.62/30.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_29 & $i(all_57_21) & $i(all_57_24) &
% 195.62/30.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_25) & $i(all_57_26) & $i(all_57_27) &
% 195.62/30.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28) & $i(all_57_29) & $i(all_57_30)) |
% 195.62/30.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_25 = e0 & ~ (all_57_0 = e3) & ~
% 195.62/30.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e2) & ~ (all_57_4 = e1) & ~
% 195.62/30.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_6 = e0) & ~ (all_57_31 = e3) & op(e3,
% 195.62/30.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1) = all_57_0 & op(e3, all_57_3) =
% 195.62/30.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_2 & op(e3, all_57_5) = all_57_4 & op(e3,
% 195.62/30.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7) = all_57_6 & op(e3, e3) = all_57_1 &
% 195.62/30.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_3 & op(e3, e1) = all_57_5 &
% 195.62/30.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_7 & op(e0, e3) = e0 &
% 195.62/30.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_0) & $i(all_57_1) & $i(all_57_2) &
% 195.62/30.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_3) & $i(all_57_4) & $i(all_57_5) &
% 195.62/30.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_6) & $i(all_57_7))
% 195.62/30.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.62/30.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (45), (159), (160), (371), (3952), (4020), (4091),
% 195.62/30.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 195.62/30.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1155.
% 195.62/30.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.62/30.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 195.62/30.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.62/30.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4092) (all_57_27 = e0 & ~ (all_57_8 = e3) & ~
% 195.62/30.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e2) & ~ (all_57_12 = e1) & ~
% 195.62/30.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e0) & ~ (all_57_31 = e2) & op(e2,
% 195.62/30.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_9) = all_57_8 & op(e2, all_57_11) =
% 195.62/30.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e2, all_57_13) = all_57_12 &
% 195.62/30.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_15) = all_57_14 & op(e2, e3) =
% 195.62/30.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_9 & op(e2, e2) = all_57_11 & op(e2, e1) =
% 195.62/30.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_13 & op(e2, e0) = all_57_15 & op(e0, e2)
% 195.62/30.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & $i(all_57_8) & $i(all_57_9) &
% 195.62/30.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & $i(all_57_11) & $i(all_57_12) &
% 195.62/30.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13) & $i(all_57_14) & $i(all_57_15)) |
% 195.62/30.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_29 = e0 & ~ (all_57_16 = e3) & ~
% 195.62/30.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_18 = e2) & ~ (all_57_20 = e1) & ~
% 195.62/30.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_22 = e0) & ~ (all_57_31 = e1) & op(e1,
% 195.62/30.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17) = all_57_16 & op(e1, all_57_19) =
% 195.62/30.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_18 & op(e1, all_57_21) = all_57_20 &
% 195.62/30.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_23) = all_57_22 & op(e1, e3) =
% 195.62/30.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e1, e2) = all_57_19 & op(e1, e1)
% 195.62/30.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_21 & op(e1, e0) = all_57_23 & op(e0,
% 195.62/30.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0 & $i(all_57_16) & $i(all_57_17) &
% 195.62/30.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_19) & $i(all_57_20) &
% 195.62/30.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_22) & $i(all_57_23))
% 195.62/30.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.62/30.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4092) gives:
% 195.62/30.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.62/30.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 195.62/30.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.62/30.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4093) all_57_27 = e0 & ~ (all_57_8 = e3) & ~
% 195.62/30.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e2) & ~ (all_57_12 = e1) & ~
% 195.62/30.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e0) & ~ (all_57_31 = e2) & op(e2,
% 195.62/30.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_9) = all_57_8 & op(e2, all_57_11) =
% 195.62/30.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e2, all_57_13) = all_57_12 & op(e2,
% 195.62/30.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15) = all_57_14 & op(e2, e3) = all_57_9 &
% 195.62/30.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_11 & op(e2, e1) = all_57_13 &
% 195.62/30.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_15 & op(e0, e2) = e0 &
% 195.62/30.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8) & $i(all_57_9) & $i(all_57_10) &
% 195.62/30.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_12) & $i(all_57_13) &
% 195.62/30.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & $i(all_57_15)
% 195.62/30.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.62/30.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4093) implies:
% 195.62/30.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4094) op(e0, e2) = e0
% 195.62/30.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.62/30.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (4075), (4094), (function-axioms) are
% 195.62/30.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1447.
% 195.62/30.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.62/30.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 195.62/30.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.62/30.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4095) all_57_29 = e0 & ~ (all_57_16 = e3) & ~
% 195.62/30.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_18 = e2) & ~ (all_57_20 = e1) & ~
% 195.62/30.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_22 = e0) & ~ (all_57_31 = e1) & op(e1,
% 195.62/30.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17) = all_57_16 & op(e1, all_57_19) =
% 195.62/30.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_18 & op(e1, all_57_21) = all_57_20 & op(e1,
% 195.62/30.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23) = all_57_22 & op(e1, e3) = all_57_17
% 195.62/30.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = all_57_19 & op(e1, e1) = all_57_21
% 195.62/30.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e0) = all_57_23 & op(e0, e1) = e0 &
% 195.62/30.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_16) & $i(all_57_17) & $i(all_57_18) &
% 195.62/30.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_20) & $i(all_57_21) &
% 195.62/30.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_23)
% 195.62/30.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.62/30.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4095) implies:
% 195.62/30.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4096) ~ (all_57_20 = e1)
% 195.62/30.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4097) op(e1, e1) = all_57_21
% 195.62/30.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4098) op(e1, all_57_21) = all_57_20
% 195.62/30.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.62/30.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (3945), (4096), (4097), (4098), (function-axioms)
% 195.62/30.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1953.
% 195.62/30.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.62/30.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 195.62/30.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.62/30.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 195.62/30.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.62/30.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 195.62/30.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.62/30.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 195.62/30.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.62/30.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 195.62/30.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.62/30.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 195.62/30.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.62/30.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 195.62/30.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.62/30.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 195.62/30.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.62/30.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 195.62/30.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.62/30.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 195.62/30.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.62/30.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4099) (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_11 =
% 195.62/30.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e1, e0) = e0)
% 195.62/30.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.62/30.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (7), (3945), (4038), (4099),
% 195.62/30.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 195.62/30.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1167.
% 195.62/30.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.62/30.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 195.62/30.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.62/30.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 195.62/30.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.62/30.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4100) all_56_10 = e2 & op(e2, e0) = e2
% 195.62/30.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.62/30.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4100) implies:
% 195.62/30.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4101) all_56_10 = e2
% 195.62/30.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.62/30.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (206), (210), (212),
% 195.62/30.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (234), (3956), (4026), (4046), (4101),
% 195.62/30.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 195.62/30.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1175.
% 195.62/30.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.62/30.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 195.62/30.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.62/30.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 195.62/30.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.62/30.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 195.62/30.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.62/30.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4102) all_56_11 = e0 & op(e1, e0) = e0
% 195.62/30.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.62/30.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4102) implies:
% 195.62/30.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4103) all_56_11 = e0
% 195.62/30.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.62/30.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (4038), (4103) are inconsistent by sub-proof
% 195.62/30.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1783.
% 195.62/30.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.62/30.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 195.62/30.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.62/30.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 195.62/30.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.62/30.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 195.62/30.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.62/30.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4104) all_56_13 = e3 & op(e0, e2) = e3
% 195.62/30.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.62/30.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4104) implies:
% 195.62/30.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4105) all_56_13 = e3
% 195.62/30.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.62/30.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (225), (226), (227),
% 195.62/30.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3900), (4105), (function-axioms) are inconsistent
% 195.62/30.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1660.
% 195.62/30.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.62/30.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 195.62/30.95 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.62/30.95 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 195.62/30.95 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.62/30.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | (4106) (all_56_14 = e3 & op(e0, e1) = e3) | (all_56_15 =
% 195.62/30.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = e3)
% 195.62/30.95 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.62/30.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (157), (4020), (4032), (4106),
% 195.62/30.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 195.62/30.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | #1568.
% 195.62/30.95 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.62/30.95 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 195.62/30.95 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.62/30.95 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 195.62/30.95 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.62/30.95 | | | | | | | | | | | | | | | | | | | | | | | | | | (4107) all_56_5 = e3 & op(e2, e1) = e3
% 195.62/30.95 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.62/30.95 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4107) implies:
% 195.62/30.95 | | | | | | | | | | | | | | | | | | | | | | | | | | (4108) op(e2, e1) = e3
% 195.62/30.95 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.62/30.95 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (3898), (4108), (function-axioms) are
% 195.62/30.95 | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1861.
% 195.62/30.95 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.62/30.95 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 195.62/30.95 | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.62/30.95 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 195.62/30.95 | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.62/30.95 | | | | | | | | | | | | | | | | | | | | | | | | | (4109) (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 =
% 195.62/30.95 | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e1) = e3)
% 195.62/30.95 | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.62/30.95 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (157), (3945), (4032), (4109),
% 195.62/30.95 | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 195.62/30.95 | | | | | | | | | | | | | | | | | | | | | | | | | #1330.
% 195.62/30.95 | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.62/30.95 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 195.62/30.95 | | | | | | | | | | | | | | | | | | | | | | | |
% 195.62/30.95 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 195.62/30.95 | | | | | | | | | | | | | | | | | | | | | | |
% 195.62/30.95 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 195.62/30.95 | | | | | | | | | | | | | | | | | | | | | | |
% 195.62/30.95 | | | | | | | | | | | | | | | | | | | | | | | (4110) all_56_15 = e3 & op(e0, e0) = e3
% 195.62/30.95 | | | | | | | | | | | | | | | | | | | | | | |
% 195.62/30.95 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4110) implies:
% 195.62/30.95 | | | | | | | | | | | | | | | | | | | | | | | (4111) op(e0, e0) = e3
% 195.62/30.95 | | | | | | | | | | | | | | | | | | | | | | |
% 195.62/30.95 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (4020), (4111), (function-axioms) are
% 195.62/30.95 | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1699.
% 195.62/30.95 | | | | | | | | | | | | | | | | | | | | | | |
% 195.62/30.95 | | | | | | | | | | | | | | | | | | | | | | End of split
% 195.62/30.95 | | | | | | | | | | | | | | | | | | | | | |
% 195.62/30.95 | | | | | | | | | | | | | | | | | | | | | End of split
% 195.62/30.95 | | | | | | | | | | | | | | | | | | | | |
% 195.62/30.95 | | | | | | | | | | | | | | | | | | | | Case 2:
% 195.62/30.95 | | | | | | | | | | | | | | | | | | | | |
% 195.62/30.95 | | | | | | | | | | | | | | | | | | | | | (4112) ~ (all_54_2 = e3)
% 195.62/30.95 | | | | | | | | | | | | | | | | | | | | |
% 195.62/30.95 | | | | | | | | | | | | | | | | | | | | | REDUCE: (271), (4112) imply:
% 195.62/30.95 | | | | | | | | | | | | | | | | | | | | | (4113) ~ (all_52_8 = e3)
% 195.62/30.95 | | | | | | | | | | | | | | | | | | | | |
% 195.62/30.95 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (236) gives:
% 195.62/30.95 | | | | | | | | | | | | | | | | | | | | |
% 195.62/30.95 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 195.62/30.95 | | | | | | | | | | | | | | | | | | | | | |
% 195.62/30.95 | | | | | | | | | | | | | | | | | | | | | | (4114) (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_1 = e3
% 195.62/30.95 | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e3)
% 195.62/30.95 | | | | | | | | | | | | | | | | | | | | | |
% 195.62/30.95 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (170), (3896), (3956), (4114),
% 195.62/30.95 | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 195.62/30.95 | | | | | | | | | | | | | | | | | | | | | | #1423.
% 195.62/30.95 | | | | | | | | | | | | | | | | | | | | | |
% 195.62/30.95 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 195.62/30.95 | | | | | | | | | | | | | | | | | | | | | |
% 195.62/30.95 | | | | | | | | | | | | | | | | | | | | | | (4115) (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_9 = e3
% 195.62/30.95 | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e3)
% 195.62/30.95 | | | | | | | | | | | | | | | | | | | | | |
% 195.62/30.95 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4115) gives:
% 195.62/30.95 | | | | | | | | | | | | | | | | | | | | | |
% 195.62/30.95 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 195.62/30.95 | | | | | | | | | | | | | | | | | | | | | | |
% 195.62/30.95 | | | | | | | | | | | | | | | | | | | | | | | (4116) all_56_4 = e3 & op(e3, e1) = e3
% 195.62/30.95 | | | | | | | | | | | | | | | | | | | | | | |
% 195.62/30.95 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4116) implies:
% 195.62/30.95 | | | | | | | | | | | | | | | | | | | | | | | (4117) op(e3, e1) = e3
% 195.62/30.95 | | | | | | | | | | | | | | | | | | | | | | |
% 195.62/30.95 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (169), (4113), (4117), (function-axioms) are
% 195.62/30.95 | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1930.
% 195.62/30.95 | | | | | | | | | | | | | | | | | | | | | | |
% 195.62/30.95 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 195.62/30.95 | | | | | | | | | | | | | | | | | | | | | | |
% 195.62/30.95 | | | | | | | | | | | | | | | | | | | | | | | (4118) all_56_9 = e3 & op(e3, e0) = e3
% 195.62/30.95 | | | | | | | | | | | | | | | | | | | | | | |
% 195.62/30.95 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4118) implies:
% 195.62/30.95 | | | | | | | | | | | | | | | | | | | | | | | (4119) all_56_9 = e3
% 195.62/30.95 | | | | | | | | | | | | | | | | | | | | | | | (4120) op(e3, e0) = e3
% 195.62/30.95 | | | | | | | | | | | | | | | | | | | | | | |
% 195.62/30.95 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (220) gives:
% 195.62/30.95 | | | | | | | | | | | | | | | | | | | | | | |
% 195.62/30.95 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 195.62/30.95 | | | | | | | | | | | | | | | | | | | | | | | |
% 195.62/30.95 | | | | | | | | | | | | | | | | | | | | | | | | (4121) (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3
% 195.62/30.95 | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e3)
% 195.62/30.95 | | | | | | | | | | | | | | | | | | | | | | | |
% 195.62/30.95 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (169), (3898), (4113), (4121),
% 195.62/30.95 | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 195.62/30.95 | | | | | | | | | | | | | | | | | | | | | | | | #1202.
% 195.62/30.95 | | | | | | | | | | | | | | | | | | | | | | | |
% 195.62/30.95 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 195.62/30.95 | | | | | | | | | | | | | | | | | | | | | | | |
% 195.62/30.95 | | | | | | | | | | | | | | | | | | | | | | | | (4122) (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 =
% 195.62/30.95 | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e1) = e3)
% 195.62/30.95 | | | | | | | | | | | | | | | | | | | | | | | |
% 195.62/30.95 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4122) gives:
% 195.62/30.95 | | | | | | | | | | | | | | | | | | | | | | | |
% 195.62/30.95 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 195.62/30.95 | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.62/30.95 | | | | | | | | | | | | | | | | | | | | | | | | | (4123) all_56_8 = e3 & op(e1, e1) = e3
% 195.62/30.95 | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.62/30.95 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4123) implies:
% 195.62/30.95 | | | | | | | | | | | | | | | | | | | | | | | | | (4124) op(e1, e1) = e3
% 195.62/30.95 | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.62/30.95 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (3945), (4124), (function-axioms) are
% 195.62/30.95 | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1958.
% 195.62/30.95 | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.62/30.95 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 195.62/30.95 | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.62/30.95 | | | | | | | | | | | | | | | | | | | | | | | | | (4125) all_56_14 = e3 & op(e0, e1) = e3
% 195.62/30.95 | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.62/30.95 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4125) implies:
% 195.62/30.95 | | | | | | | | | | | | | | | | | | | | | | | | | (4126) all_56_14 = e3
% 195.62/30.95 | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.62/30.95 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (217) gives:
% 195.62/30.95 | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.62/30.95 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 195.62/30.95 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.62/30.95 | | | | | | | | | | | | | | | | | | | | | | | | | | (4127) (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_5 = e0
% 195.62/30.95 | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e0)
% 195.62/30.95 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.62/30.95 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4127) gives:
% 195.62/30.95 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.62/30.95 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 195.62/30.95 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.62/30.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | (4128) all_56_4 = e0 & op(e3, e1) = e0
% 195.62/30.95 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.62/30.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (169), (3953), (4128), (function-axioms) are
% 195.62/30.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1471.
% 195.62/30.95 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.62/30.95 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 195.62/30.95 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.62/30.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | (4129) all_56_5 = e0 & op(e2, e1) = e0
% 195.62/30.95 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.62/30.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4129) implies:
% 195.62/30.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | (4130) op(e2, e1) = e0
% 195.62/30.95 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.62/30.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (223) gives:
% 195.62/30.95 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.62/30.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 195.62/30.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.62/30.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4131) (all_56_2 = e2 & op(e2, e3) = e2) | (all_56_3 = e2
% 195.62/30.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e2)
% 195.62/30.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.62/30.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (9), (3900), (4023), (4131),
% 195.62/30.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 195.62/30.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1165.
% 195.62/30.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.62/30.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 195.62/30.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.62/30.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4132) (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_10 =
% 195.62/30.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2)
% 195.62/30.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.62/30.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4132) gives:
% 195.62/30.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.62/30.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 195.62/30.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.62/30.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4133) all_56_5 = e2 & op(e2, e1) = e2
% 195.62/30.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.62/30.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4133) implies:
% 195.62/30.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4134) op(e2, e1) = e2
% 195.62/30.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.62/30.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (4130), (4134), (function-axioms) are
% 195.62/30.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1852.
% 195.62/30.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.62/30.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 195.62/30.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.62/30.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4135) all_56_10 = e2 & op(e2, e0) = e2
% 195.62/30.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.62/30.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4135) implies:
% 195.62/30.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4136) op(e2, e0) = e2
% 195.62/30.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.62/30.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (239) gives:
% 195.62/30.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.62/30.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 195.62/30.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.62/30.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4137) (all_57_1 = e2 & ~ (all_57_3 = e3) & ~ (all_57_8
% 195.62/30.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_10 = e2) & ~ (all_57_12 =
% 195.62/30.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_14 = e0) & op(e3, e3) = e2 &
% 195.62/30.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_3 & op(e2, all_57_9) =
% 195.62/30.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_8 & op(e2, all_57_11) = all_57_10 &
% 195.62/30.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_13) = all_57_12 & op(e2,
% 195.62/30.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15) = all_57_14 & op(e2, e3) = all_57_9
% 195.62/30.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = all_57_11 & op(e2, e1) =
% 195.62/30.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_13 & op(e2, e0) = all_57_15 &
% 195.62/30.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_3) & $i(all_57_8) & $i(all_57_9) &
% 195.62/30.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & $i(all_57_11) & $i(all_57_12) &
% 195.62/30.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13) & $i(all_57_14) & $i(all_57_15)) |
% 195.62/30.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e1 & ~ (all_57_5 = e3) & ~
% 195.62/30.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_16 = e3) & ~ (all_57_18 = e2) & ~
% 195.62/30.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_22 = e0) & op(e3,
% 195.62/30.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e1 & op(e3, e1) = all_57_5 & op(e1,
% 195.62/30.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17) = all_57_16 & op(e1, all_57_19) =
% 195.62/30.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_18 & op(e1, all_57_21) = all_57_20 &
% 195.62/30.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_23) = all_57_22 & op(e1, e3) =
% 195.62/30.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e1, e2) = all_57_19 & op(e1, e1)
% 195.62/30.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_21 & op(e1, e0) = all_57_23 &
% 195.62/30.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_16) & $i(all_57_17) &
% 195.62/30.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_19) & $i(all_57_20) &
% 195.62/30.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_22) & $i(all_57_23)) |
% 195.62/30.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e0 & ~ (all_57_7 = e3) & ~
% 195.62/30.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 195.62/30.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) & op(e3,
% 195.62/30.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e0 & op(e3, e0) = all_57_7 & op(e0,
% 195.62/30.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25) = all_57_24 & op(e0, all_57_27) =
% 195.62/30.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e0, all_57_29) = all_57_28 &
% 195.62/30.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_31) = all_57_30 & op(e0, e3) =
% 195.62/30.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_27 & op(e0, e1)
% 195.62/30.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_29 & op(e0, e0) = all_57_31 &
% 195.62/30.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7) & $i(all_57_24) & $i(all_57_25) &
% 195.62/30.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_27) & $i(all_57_28) &
% 195.62/30.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29) & $i(all_57_30) & $i(all_57_31)) |
% 195.62/30.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e3 & ~ (all_57_0 = e3) & ~
% 195.62/30.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e2) & ~ (all_57_4 = e1) & ~
% 195.62/30.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_6 = e0) & ~ (all_57_9 = e2) & op(e3,
% 195.62/30.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1) = all_57_0 & op(e3, all_57_3) =
% 195.62/30.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_2 & op(e3, all_57_5) = all_57_4 & op(e3,
% 195.62/30.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7) = all_57_6 & op(e3, e3) = all_57_1 &
% 195.62/30.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_3 & op(e3, e1) = all_57_5 &
% 195.62/30.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_7 & op(e2, e3) = all_57_9 &
% 195.62/30.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e3 & $i(all_57_0) & $i(all_57_1) &
% 195.62/30.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_2) & $i(all_57_3) & $i(all_57_4) &
% 195.62/30.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 195.62/30.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9))
% 195.62/30.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.62/30.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4137) gives:
% 195.62/30.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.62/30.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 195.62/30.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.62/30.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4138) (all_57_1 = e2 & ~ (all_57_3 = e3) & ~ (all_57_8
% 195.62/30.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_10 = e2) & ~ (all_57_12 =
% 195.62/30.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_14 = e0) & op(e3, e3) = e2 &
% 195.62/30.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_3 & op(e2, all_57_9) =
% 195.62/30.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_8 & op(e2, all_57_11) = all_57_10 &
% 195.62/30.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_13) = all_57_12 & op(e2,
% 195.62/30.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15) = all_57_14 & op(e2, e3) = all_57_9
% 195.62/30.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = all_57_11 & op(e2, e1) =
% 195.62/30.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_13 & op(e2, e0) = all_57_15 &
% 195.62/30.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_3) & $i(all_57_8) & $i(all_57_9) &
% 195.62/30.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & $i(all_57_11) & $i(all_57_12) &
% 195.62/30.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13) & $i(all_57_14) & $i(all_57_15)) |
% 195.62/30.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e1 & ~ (all_57_5 = e3) & ~
% 195.62/30.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_16 = e3) & ~ (all_57_18 = e2) & ~
% 195.62/30.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_22 = e0) & op(e3,
% 195.62/30.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e1 & op(e3, e1) = all_57_5 & op(e1,
% 195.62/30.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17) = all_57_16 & op(e1, all_57_19) =
% 195.62/30.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_18 & op(e1, all_57_21) = all_57_20 &
% 195.62/30.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_23) = all_57_22 & op(e1, e3) =
% 195.62/30.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e1, e2) = all_57_19 & op(e1, e1)
% 195.62/30.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_21 & op(e1, e0) = all_57_23 &
% 195.62/30.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_16) & $i(all_57_17) &
% 195.62/30.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_19) & $i(all_57_20) &
% 195.62/30.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_22) & $i(all_57_23))
% 195.62/30.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.62/30.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4138) gives:
% 195.62/30.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.62/30.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 195.62/30.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.62/30.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4139) all_57_1 = e2 & ~ (all_57_3 = e3) & ~ (all_57_8
% 195.62/30.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_10 = e2) & ~ (all_57_12 =
% 195.62/30.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_14 = e0) & op(e3, e3) = e2 &
% 195.62/30.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_3 & op(e2, all_57_9) =
% 195.62/30.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_8 & op(e2, all_57_11) = all_57_10 & op(e2,
% 195.62/30.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_13) = all_57_12 & op(e2, all_57_15) =
% 195.62/30.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_14 & op(e2, e3) = all_57_9 & op(e2, e2) =
% 195.62/30.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_11 & op(e2, e1) = all_57_13 & op(e2, e0) =
% 195.62/30.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15 & $i(all_57_3) & $i(all_57_8) &
% 195.62/30.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9) & $i(all_57_10) & $i(all_57_11) &
% 195.62/30.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & $i(all_57_13) & $i(all_57_14) &
% 195.62/30.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15)
% 195.62/30.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.62/30.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4139) implies:
% 195.62/30.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4140) op(e3, e3) = e2
% 195.62/30.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.62/30.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (3956), (4140), (function-axioms) are
% 195.62/30.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1964.
% 195.62/30.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.62/30.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 195.62/30.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.62/30.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4141) all_57_1 = e1 & ~ (all_57_5 = e3) & ~ (all_57_16
% 195.62/30.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_18 = e2) & ~ (all_57_20 =
% 195.62/30.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_22 = e0) & op(e3, e3) = e1 &
% 195.62/30.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_57_5 & op(e1, all_57_17) =
% 195.62/30.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_16 & op(e1, all_57_19) = all_57_18 & op(e1,
% 195.62/30.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_21) = all_57_20 & op(e1, all_57_23) =
% 195.62/30.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_22 & op(e1, e3) = all_57_17 & op(e1, e2) =
% 195.62/30.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_19 & op(e1, e1) = all_57_21 & op(e1, e0) =
% 195.62/30.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23 & $i(all_57_5) & $i(all_57_16) &
% 195.62/30.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_17) & $i(all_57_18) & $i(all_57_19) &
% 195.62/30.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_20) & $i(all_57_21) & $i(all_57_22) &
% 195.62/30.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23)
% 195.62/30.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.62/30.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4141) implies:
% 195.62/30.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4142) op(e3, e3) = e1
% 195.62/30.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.62/30.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (230), (234), (236),
% 195.62/30.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4026), (4119), (4142), (function-axioms) are
% 195.62/30.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1149.
% 195.62/30.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.62/30.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 195.62/30.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.62/30.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 195.62/30.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.62/30.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4143) (all_57_1 = e0 & ~ (all_57_7 = e3) & ~
% 195.62/30.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 195.62/30.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) & op(e3,
% 195.62/30.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e0 & op(e3, e0) = all_57_7 & op(e0,
% 195.62/30.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25) = all_57_24 & op(e0, all_57_27) =
% 195.62/30.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e0, all_57_29) = all_57_28 &
% 195.62/30.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_31) = all_57_30 & op(e0, e3) =
% 195.62/30.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_27 & op(e0, e1)
% 195.62/30.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_29 & op(e0, e0) = all_57_31 &
% 195.62/30.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7) & $i(all_57_24) & $i(all_57_25) &
% 195.62/30.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_27) & $i(all_57_28) &
% 195.62/30.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29) & $i(all_57_30) & $i(all_57_31)) |
% 195.62/30.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e3 & ~ (all_57_0 = e3) & ~
% 195.62/30.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e2) & ~ (all_57_4 = e1) & ~
% 195.62/30.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_6 = e0) & ~ (all_57_9 = e2) & op(e3,
% 195.62/30.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1) = all_57_0 & op(e3, all_57_3) =
% 195.62/30.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_2 & op(e3, all_57_5) = all_57_4 & op(e3,
% 195.62/30.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7) = all_57_6 & op(e3, e3) = all_57_1 &
% 195.62/30.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_3 & op(e3, e1) = all_57_5 &
% 195.62/30.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_7 & op(e2, e3) = all_57_9 &
% 195.62/30.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e3 & $i(all_57_0) & $i(all_57_1) &
% 195.62/30.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_2) & $i(all_57_3) & $i(all_57_4) &
% 195.62/30.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 195.62/30.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9))
% 195.62/30.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.62/30.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (3956), (4120), (4143), (function-axioms) are
% 195.62/30.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1831.
% 195.62/30.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.62/30.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 195.62/30.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.62/30.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 195.62/30.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.62/30.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4144) (all_57_11 = e1 & ~ (all_57_13 = e2) & ~
% 195.62/30.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_16 = e3) & ~ (all_57_18 = e2) & ~
% 195.62/30.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_22 = e0) & op(e2,
% 195.62/30.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e1 & op(e2, e1) = all_57_13 & op(e1,
% 195.62/30.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17) = all_57_16 & op(e1, all_57_19) =
% 195.62/30.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_18 & op(e1, all_57_21) = all_57_20 &
% 195.62/30.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_23) = all_57_22 & op(e1, e3) =
% 195.62/30.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e1, e2) = all_57_19 & op(e1, e1)
% 195.62/30.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_21 & op(e1, e0) = all_57_23 &
% 195.62/30.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13) & $i(all_57_16) & $i(all_57_17) &
% 195.62/30.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_19) & $i(all_57_20) &
% 195.62/30.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_22) & $i(all_57_23)) |
% 195.62/30.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e0 & ~ (all_57_15 = e2) & ~
% 195.62/30.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 195.62/30.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) & op(e2,
% 195.62/30.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e0 & op(e2, e0) = all_57_15 & op(e0,
% 195.62/30.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25) = all_57_24 & op(e0, all_57_27) =
% 195.62/30.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e0, all_57_29) = all_57_28 &
% 195.62/30.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_31) = all_57_30 & op(e0, e3) =
% 195.62/30.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_27 & op(e0, e1)
% 195.62/30.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_29 & op(e0, e0) = all_57_31 &
% 195.62/30.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & $i(all_57_24) & $i(all_57_25) &
% 195.62/30.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_27) & $i(all_57_28) &
% 195.62/30.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29) & $i(all_57_30) & $i(all_57_31)) |
% 195.62/30.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e3 & ~ (all_57_0 = e3) & ~
% 195.62/30.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e2) & ~ (all_57_4 = e1) & ~
% 195.62/30.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_6 = e0) & ~ (all_57_17 = e1) & op(e3,
% 195.62/30.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1) = all_57_0 & op(e3, all_57_3) =
% 195.62/30.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_2 & op(e3, all_57_5) = all_57_4 & op(e3,
% 195.62/30.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7) = all_57_6 & op(e3, e3) = all_57_1 &
% 195.62/30.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_3 & op(e3, e1) = all_57_5 &
% 195.62/30.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_7 & op(e1, e3) = all_57_17 &
% 195.62/30.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e3 & $i(all_57_0) & $i(all_57_1) &
% 195.62/30.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_2) & $i(all_57_3) & $i(all_57_4) &
% 195.62/30.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 195.62/30.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_17)) | (all_57_21 = e2 & ~ (all_57_8
% 195.62/30.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_10 = e2) & ~ (all_57_12 =
% 195.62/30.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_14 = e0) & ~ (all_57_19 =
% 195.62/30.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & op(e2, all_57_9) = all_57_8 & op(e2,
% 195.62/30.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_11) = all_57_10 & op(e2, all_57_13) =
% 195.62/30.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & op(e2, all_57_15) = all_57_14 &
% 195.62/30.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_9 & op(e2, e2) = all_57_11 &
% 195.62/30.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_57_13 & op(e2, e0) = all_57_15
% 195.62/30.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = all_57_19 & op(e1, e1) = e2 &
% 195.62/30.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8) & $i(all_57_9) & $i(all_57_10) &
% 195.62/30.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_12) & $i(all_57_13) &
% 195.62/30.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & $i(all_57_15) & $i(all_57_19)) |
% 195.62/30.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (op(e0, e0) = all_57_31 & $i(all_57_31) &
% 195.62/30.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_21 = e0 & ~ (all_57_23 = e1) & ~
% 195.62/30.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 195.62/30.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) &
% 195.62/30.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = all_57_23 &
% 195.62/30.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_25) = all_57_24 & op(e0,
% 195.62/30.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27) = all_57_26 & op(e0, all_57_29)
% 195.62/30.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_28 & op(e0, all_57_31) = all_57_30
% 195.62/30.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e3) = all_57_25 & op(e0, e2) =
% 195.62/30.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27 & op(e0, e1) = all_57_29 &
% 195.62/30.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23) & $i(all_57_24) &
% 195.62/30.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_25) & $i(all_57_26) &
% 195.62/30.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27) & $i(all_57_28) &
% 195.62/30.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29) & $i(all_57_30)) | (all_57_31
% 195.62/30.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & ~ (all_57_0 = e3) & ~ (all_57_2 =
% 195.62/30.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_4 = e1) & ~ (all_57_6 =
% 195.62/30.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_25 = e0) & op(e3,
% 195.62/30.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1) = all_57_0 & op(e3, all_57_3) =
% 195.62/30.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_2 & op(e3, all_57_5) = all_57_4 &
% 195.62/30.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, all_57_7) = all_57_6 & op(e3, e3) =
% 195.62/30.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e2) = all_57_3 & op(e3,
% 195.62/30.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_5 & op(e3, e0) = all_57_7 &
% 195.62/30.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_25 & $i(all_57_0) &
% 195.62/30.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_2) & $i(all_57_3) &
% 195.62/30.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4) & $i(all_57_5) & $i(all_57_6) &
% 195.62/30.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7) & $i(all_57_25)) | (all_57_31 =
% 195.62/30.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_8 = e3) & ~ (all_57_10 =
% 195.62/30.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_12 = e1) & ~ (all_57_14
% 195.62/30.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_27 = e0) & op(e2,
% 195.62/30.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_9) = all_57_8 & op(e2, all_57_11) =
% 195.62/30.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e2, all_57_13) = all_57_12 &
% 195.62/30.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_15) = all_57_14 & op(e2, e3) =
% 195.62/30.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_9 & op(e2, e2) = all_57_11 & op(e2,
% 195.62/30.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_13 & op(e2, e0) = all_57_15 &
% 195.62/30.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_27 & $i(all_57_8) &
% 195.62/30.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9) & $i(all_57_10) & $i(all_57_11)
% 195.62/30.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_12) & $i(all_57_13) &
% 195.62/30.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & $i(all_57_15) &
% 195.62/30.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27)) | (all_57_31 = e1 & ~
% 195.62/30.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_16 = e3) & ~ (all_57_18 = e2) & ~
% 195.62/30.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_22 = e0) & ~
% 195.62/30.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_29 = e0) & op(e1, all_57_17) =
% 195.62/30.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_16 & op(e1, all_57_19) = all_57_18 &
% 195.62/30.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_21) = all_57_20 & op(e1,
% 195.62/30.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23) = all_57_22 & op(e1, e3) =
% 195.62/30.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e1, e2) = all_57_19 & op(e1,
% 195.62/30.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_21 & op(e1, e0) = all_57_23 &
% 195.62/30.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = all_57_29 & $i(all_57_16) &
% 195.62/30.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_17) & $i(all_57_18) &
% 195.62/30.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_20) &
% 195.62/30.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_22) &
% 195.62/30.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23) & $i(all_57_29))))
% 195.62/30.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.62/30.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4144) gives:
% 195.62/30.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.62/30.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 195.62/30.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.62/30.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4145) (all_57_11 = e1 & ~ (all_57_13 = e2) & ~
% 195.62/30.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_16 = e3) & ~ (all_57_18 = e2) & ~
% 195.62/30.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_22 = e0) & op(e2,
% 195.62/30.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e1 & op(e2, e1) = all_57_13 & op(e1,
% 195.62/30.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17) = all_57_16 & op(e1, all_57_19) =
% 195.62/30.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_18 & op(e1, all_57_21) = all_57_20 &
% 195.62/30.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_23) = all_57_22 & op(e1, e3) =
% 195.62/30.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e1, e2) = all_57_19 & op(e1, e1)
% 195.62/30.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_21 & op(e1, e0) = all_57_23 &
% 195.62/30.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13) & $i(all_57_16) & $i(all_57_17) &
% 195.62/30.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_19) & $i(all_57_20) &
% 195.62/30.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_22) & $i(all_57_23)) |
% 195.62/30.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e0 & ~ (all_57_15 = e2) & ~
% 195.62/30.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 195.62/30.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) & op(e2,
% 195.62/30.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e0 & op(e2, e0) = all_57_15 & op(e0,
% 195.62/30.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25) = all_57_24 & op(e0, all_57_27) =
% 195.62/30.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e0, all_57_29) = all_57_28 &
% 195.62/30.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_31) = all_57_30 & op(e0, e3) =
% 195.62/30.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_27 & op(e0, e1)
% 195.62/30.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_29 & op(e0, e0) = all_57_31 &
% 195.62/30.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & $i(all_57_24) & $i(all_57_25) &
% 195.62/30.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_27) & $i(all_57_28) &
% 195.62/30.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29) & $i(all_57_30) & $i(all_57_31))
% 195.62/30.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.62/30.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (3900), (4136), (4145), (function-axioms) are
% 195.62/30.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1148.
% 195.62/30.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.62/30.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 195.62/30.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.62/30.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4146) (all_57_21 = e3 & ~ (all_57_0 = e3) & ~
% 195.62/30.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e2) & ~ (all_57_4 = e1) & ~
% 195.62/30.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_6 = e0) & ~ (all_57_17 = e1) & op(e3,
% 195.62/30.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1) = all_57_0 & op(e3, all_57_3) =
% 195.62/30.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_2 & op(e3, all_57_5) = all_57_4 & op(e3,
% 195.62/30.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7) = all_57_6 & op(e3, e3) = all_57_1 &
% 195.62/30.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_3 & op(e3, e1) = all_57_5 &
% 195.62/30.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_7 & op(e1, e3) = all_57_17 &
% 195.62/30.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e3 & $i(all_57_0) & $i(all_57_1) &
% 195.62/30.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_2) & $i(all_57_3) & $i(all_57_4) &
% 195.62/30.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 195.62/30.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_17)) | (all_57_21 = e2 & ~ (all_57_8
% 195.62/30.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_10 = e2) & ~ (all_57_12 =
% 195.62/30.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_14 = e0) & ~ (all_57_19 =
% 195.62/30.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & op(e2, all_57_9) = all_57_8 & op(e2,
% 195.62/30.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_11) = all_57_10 & op(e2, all_57_13) =
% 195.62/30.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & op(e2, all_57_15) = all_57_14 &
% 195.62/30.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_9 & op(e2, e2) = all_57_11 &
% 195.62/30.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_57_13 & op(e2, e0) = all_57_15
% 195.62/30.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = all_57_19 & op(e1, e1) = e2 &
% 195.62/30.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8) & $i(all_57_9) & $i(all_57_10) &
% 195.62/30.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_12) & $i(all_57_13) &
% 195.62/30.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & $i(all_57_15) & $i(all_57_19)) |
% 195.62/30.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (op(e0, e0) = all_57_31 & $i(all_57_31) &
% 195.62/30.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_21 = e0 & ~ (all_57_23 = e1) & ~
% 195.62/30.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 195.62/30.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) &
% 195.62/30.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = all_57_23 &
% 195.62/30.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_25) = all_57_24 & op(e0,
% 195.62/30.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27) = all_57_26 & op(e0, all_57_29)
% 195.62/30.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_28 & op(e0, all_57_31) = all_57_30
% 195.62/30.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e3) = all_57_25 & op(e0, e2) =
% 195.62/30.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27 & op(e0, e1) = all_57_29 &
% 195.62/30.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23) & $i(all_57_24) &
% 195.62/30.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_25) & $i(all_57_26) &
% 195.62/30.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27) & $i(all_57_28) &
% 195.62/30.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29) & $i(all_57_30)) | (all_57_31
% 195.62/30.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & ~ (all_57_0 = e3) & ~ (all_57_2 =
% 195.62/30.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_4 = e1) & ~ (all_57_6 =
% 195.62/30.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_25 = e0) & op(e3,
% 195.62/30.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1) = all_57_0 & op(e3, all_57_3) =
% 195.62/30.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_2 & op(e3, all_57_5) = all_57_4 &
% 195.62/30.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, all_57_7) = all_57_6 & op(e3, e3) =
% 195.62/30.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e2) = all_57_3 & op(e3,
% 195.62/30.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_5 & op(e3, e0) = all_57_7 &
% 195.62/30.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_25 & $i(all_57_0) &
% 195.62/30.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_2) & $i(all_57_3) &
% 195.62/30.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4) & $i(all_57_5) & $i(all_57_6) &
% 195.62/30.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7) & $i(all_57_25)) | (all_57_31 =
% 195.62/30.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_8 = e3) & ~ (all_57_10 =
% 195.62/30.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_12 = e1) & ~ (all_57_14
% 195.62/30.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_27 = e0) & op(e2,
% 195.62/30.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_9) = all_57_8 & op(e2, all_57_11) =
% 195.62/30.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e2, all_57_13) = all_57_12 &
% 195.62/30.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_15) = all_57_14 & op(e2, e3) =
% 195.62/30.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_9 & op(e2, e2) = all_57_11 & op(e2,
% 195.62/30.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_13 & op(e2, e0) = all_57_15 &
% 195.62/30.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_27 & $i(all_57_8) &
% 195.62/30.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9) & $i(all_57_10) & $i(all_57_11)
% 195.62/30.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_12) & $i(all_57_13) &
% 195.62/30.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & $i(all_57_15) &
% 195.62/30.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27)) | (all_57_31 = e1 & ~
% 195.62/30.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_16 = e3) & ~ (all_57_18 = e2) & ~
% 195.62/30.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_22 = e0) & ~
% 195.62/30.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_29 = e0) & op(e1, all_57_17) =
% 195.62/30.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_16 & op(e1, all_57_19) = all_57_18 &
% 195.62/30.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_21) = all_57_20 & op(e1,
% 195.62/30.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23) = all_57_22 & op(e1, e3) =
% 195.62/30.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e1, e2) = all_57_19 & op(e1,
% 195.62/30.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_21 & op(e1, e0) = all_57_23 &
% 195.62/30.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = all_57_29 & $i(all_57_16) &
% 195.62/30.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_17) & $i(all_57_18) &
% 195.62/30.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_20) &
% 195.62/30.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_22) &
% 195.62/30.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23) & $i(all_57_29))))
% 195.62/30.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.62/30.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4146) gives:
% 195.62/30.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.62/30.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 195.62/30.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.62/30.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4147) all_57_21 = e3 & ~ (all_57_0 = e3) & ~ (all_57_2
% 195.62/30.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2) & ~ (all_57_4 = e1) & ~ (all_57_6 = e0)
% 195.62/30.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_17 = e1) & op(e3, all_57_1) =
% 195.62/30.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_0 & op(e3, all_57_3) = all_57_2 & op(e3,
% 195.62/30.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_5) = all_57_4 & op(e3, all_57_7) =
% 195.62/30.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_6 & op(e3, e3) = all_57_1 & op(e3, e2) =
% 195.62/30.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 & op(e3, e1) = all_57_5 & op(e3, e0) =
% 195.62/30.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7 & op(e1, e3) = all_57_17 & op(e1, e1) =
% 195.62/30.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & $i(all_57_0) & $i(all_57_1) & $i(all_57_2) &
% 195.62/30.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_3) & $i(all_57_4) & $i(all_57_5) &
% 195.62/30.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_6) & $i(all_57_7) & $i(all_57_17)
% 195.62/30.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.62/30.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4147) implies:
% 195.62/30.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4148) ~ (all_57_6 = e0)
% 195.62/30.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4149) op(e3, e0) = all_57_7
% 195.62/30.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4150) op(e3, e3) = all_57_1
% 195.62/30.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4151) op(e3, all_57_7) = all_57_6
% 195.62/30.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.62/30.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (3956), (4120), (4148), (4149), (4150), (4151),
% 195.62/30.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 195.62/30.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1832.
% 195.62/30.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.62/30.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 195.62/30.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.62/30.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4152) (all_57_21 = e2 & ~ (all_57_8 = e3) & ~
% 195.62/30.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e2) & ~ (all_57_12 = e1) & ~
% 195.62/30.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e0) & ~ (all_57_19 = e1) & op(e2,
% 195.62/30.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_9) = all_57_8 & op(e2, all_57_11) =
% 195.62/30.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e2, all_57_13) = all_57_12 &
% 195.62/30.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_15) = all_57_14 & op(e2, e3) =
% 195.62/30.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_9 & op(e2, e2) = all_57_11 & op(e2, e1) =
% 195.62/30.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_13 & op(e2, e0) = all_57_15 & op(e1, e2)
% 195.62/30.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_19 & op(e1, e1) = e2 & $i(all_57_8) &
% 195.62/30.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9) & $i(all_57_10) & $i(all_57_11) &
% 195.62/30.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & $i(all_57_13) & $i(all_57_14) &
% 195.62/30.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & $i(all_57_19)) | (op(e0, e0) =
% 195.62/30.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_31 & $i(all_57_31) & ((all_57_21 = e0 &
% 195.62/30.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_23 = e1) & ~ (all_57_24 = e3) &
% 195.62/30.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_26 = e2) & ~ (all_57_28 = e1) &
% 195.62/30.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_30 = e0) & op(e1, e1) = e0 &
% 195.62/30.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_23 & op(e0, all_57_25) =
% 195.62/30.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_24 & op(e0, all_57_27) = all_57_26 &
% 195.62/30.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_29) = all_57_28 & op(e0,
% 195.62/30.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_31) = all_57_30 & op(e0, e3) =
% 195.62/30.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_27 & op(e0,
% 195.62/30.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_29 & $i(all_57_23) &
% 195.62/30.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_24) & $i(all_57_25) &
% 195.62/30.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_27) &
% 195.62/30.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28) & $i(all_57_29) &
% 195.62/30.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_31 = e3 & ~
% 195.62/30.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_0 = e3) & ~ (all_57_2 = e2) & ~
% 195.62/30.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1) & ~ (all_57_6 = e0) & ~
% 195.62/30.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_25 = e0) & op(e3, all_57_1) =
% 195.62/30.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_0 & op(e3, all_57_3) = all_57_2 &
% 195.62/30.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, all_57_5) = all_57_4 & op(e3,
% 195.62/30.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7) = all_57_6 & op(e3, e3) =
% 195.62/30.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e2) = all_57_3 & op(e3,
% 195.62/30.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_5 & op(e3, e0) = all_57_7 &
% 195.62/30.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_25 & $i(all_57_0) &
% 195.62/30.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_2) & $i(all_57_3) &
% 195.62/30.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4) & $i(all_57_5) & $i(all_57_6) &
% 195.62/30.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7) & $i(all_57_25)) | (all_57_31 =
% 195.62/30.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_8 = e3) & ~ (all_57_10 =
% 195.62/30.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_12 = e1) & ~ (all_57_14
% 195.62/30.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_27 = e0) & op(e2,
% 195.62/30.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_9) = all_57_8 & op(e2, all_57_11) =
% 195.62/30.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e2, all_57_13) = all_57_12 &
% 195.62/30.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_15) = all_57_14 & op(e2, e3) =
% 195.62/30.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_9 & op(e2, e2) = all_57_11 & op(e2,
% 195.62/30.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_13 & op(e2, e0) = all_57_15 &
% 195.62/30.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_27 & $i(all_57_8) &
% 195.62/30.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9) & $i(all_57_10) & $i(all_57_11)
% 195.62/30.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_12) & $i(all_57_13) &
% 195.62/30.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & $i(all_57_15) &
% 195.62/30.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27)) | (all_57_31 = e1 & ~
% 195.62/30.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_16 = e3) & ~ (all_57_18 = e2) & ~
% 195.62/30.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_22 = e0) & ~
% 195.62/30.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_29 = e0) & op(e1, all_57_17) =
% 195.62/30.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_16 & op(e1, all_57_19) = all_57_18 &
% 195.62/30.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_21) = all_57_20 & op(e1,
% 195.62/30.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23) = all_57_22 & op(e1, e3) =
% 195.62/30.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e1, e2) = all_57_19 & op(e1,
% 195.62/30.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_21 & op(e1, e0) = all_57_23 &
% 195.62/30.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = all_57_29 & $i(all_57_16) &
% 195.62/30.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_17) & $i(all_57_18) &
% 195.62/30.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_20) &
% 195.62/30.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_22) &
% 195.62/30.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23) & $i(all_57_29))))
% 195.62/30.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.62/30.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (45), (376), (3923), (3945), (4152),
% 195.62/30.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 195.62/30.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1933.
% 195.62/30.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.62/30.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 195.62/30.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.62/30.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 195.62/30.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.62/30.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 195.62/30.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.62/30.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 195.62/30.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.62/30.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 195.62/30.96 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.62/30.96 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 195.62/30.96 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.62/30.96 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 195.62/30.96 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.62/30.96 | | | | | | | | | | | | | | | | | | | | | | | | | | (4153) (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_14 =
% 195.62/30.96 | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0)
% 195.62/30.96 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.62/30.96 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4153) gives:
% 195.62/30.96 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.62/30.96 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 195.62/30.96 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.62/30.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | (4154) all_56_8 = e0 & op(e1, e1) = e0
% 195.62/30.96 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.62/30.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4154) implies:
% 195.62/30.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | (4155) op(e1, e1) = e0
% 195.62/30.96 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.62/30.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (3945), (4155), (function-axioms) are
% 195.62/30.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1956.
% 195.62/30.96 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.62/30.96 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 195.62/30.96 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.62/30.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | (4156) all_56_14 = e0 & op(e0, e1) = e0
% 195.62/30.96 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.62/30.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4156) implies:
% 195.62/30.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | (4157) all_56_14 = e0
% 195.62/30.96 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.62/30.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4126), (4157) imply:
% 195.62/30.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | (4158) e3 = e0
% 195.62/30.96 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.62/30.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4158) implies:
% 195.62/30.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | (4159) e3 = e0
% 195.62/30.96 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.62/30.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4119), (4159) imply:
% 195.62/30.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | (4160) all_56_9 = e0
% 195.62/30.96 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.62/30.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (45), (160), (163),
% 195.62/30.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | (164), (165), (170), (206), (208), (209), (210),
% 195.62/30.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | (211), (212), (213), (215), (219), (220), (221),
% 195.62/30.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | (222), (229), (231), (232), (233), (234), (235),
% 195.62/30.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | (236), (376), (3896), (3898), (3899), (3900),
% 195.62/30.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3923), (3938), (3941), (3942), (3945), (3951),
% 195.62/30.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3956), (4160), (function-axioms) are inconsistent
% 195.62/30.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1147.
% 195.62/30.96 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.62/30.96 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 195.62/30.96 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.62/30.96 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 195.62/30.96 | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.62/30.96 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 195.62/30.96 | | | | | | | | | | | | | | | | | | | | | | | |
% 195.62/30.96 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 195.62/30.96 | | | | | | | | | | | | | | | | | | | | | | |
% 195.62/30.96 | | | | | | | | | | | | | | | | | | | | | | End of split
% 195.62/30.96 | | | | | | | | | | | | | | | | | | | | | |
% 195.62/30.96 | | | | | | | | | | | | | | | | | | | | | End of split
% 195.62/30.96 | | | | | | | | | | | | | | | | | | | | |
% 195.62/30.96 | | | | | | | | | | | | | | | | | | | | End of split
% 195.62/30.96 | | | | | | | | | | | | | | | | | | | |
% 195.62/30.96 | | | | | | | | | | | | | | | | | | | Case 2:
% 195.62/30.96 | | | | | | | | | | | | | | | | | | | |
% 195.62/30.96 | | | | | | | | | | | | | | | | | | | | (4161) all_56_3 = e1 & op(e2, e2) = e1
% 195.62/30.96 | | | | | | | | | | | | | | | | | | | |
% 195.62/30.96 | | | | | | | | | | | | | | | | | | | | ALPHA: (4161) implies:
% 195.62/30.96 | | | | | | | | | | | | | | | | | | | | (4162) op(e2, e2) = e1
% 195.62/30.96 | | | | | | | | | | | | | | | | | | | |
% 195.62/30.96 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (3900), (4162), (function-axioms) are
% 195.62/30.96 | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1684.
% 195.62/30.96 | | | | | | | | | | | | | | | | | | | |
% 195.62/30.96 | | | | | | | | | | | | | | | | | | | End of split
% 195.62/30.96 | | | | | | | | | | | | | | | | | | |
% 195.62/30.96 | | | | | | | | | | | | | | | | | | Case 2:
% 195.62/30.96 | | | | | | | | | | | | | | | | | | |
% 195.62/30.96 | | | | | | | | | | | | | | | | | | | (4163) (all_56_7 = e1 & op(e1, e2) = e1) | (all_56_13 =
% 195.62/30.96 | | | | | | | | | | | | | | | | | | | e1 & op(e0, e2) = e1)
% 195.62/30.96 | | | | | | | | | | | | | | | | | | |
% 195.62/30.96 | | | | | | | | | | | | | | | | | | | BETA: splitting (4163) gives:
% 195.62/30.96 | | | | | | | | | | | | | | | | | | |
% 195.62/30.96 | | | | | | | | | | | | | | | | | | | Case 1:
% 195.62/30.96 | | | | | | | | | | | | | | | | | | | |
% 195.62/30.96 | | | | | | | | | | | | | | | | | | | | (4164) all_56_7 = e1 & op(e1, e2) = e1
% 195.62/30.96 | | | | | | | | | | | | | | | | | | | |
% 195.62/30.96 | | | | | | | | | | | | | | | | | | | | ALPHA: (4164) implies:
% 195.62/30.96 | | | | | | | | | | | | | | | | | | | | (4165) op(e1, e2) = e1
% 195.62/30.96 | | | | | | | | | | | | | | | | | | | |
% 195.62/30.96 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (162), (3939), (4165), (function-axioms) are
% 195.62/30.96 | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1480.
% 195.62/30.96 | | | | | | | | | | | | | | | | | | | |
% 195.62/30.96 | | | | | | | | | | | | | | | | | | | Case 2:
% 195.62/30.96 | | | | | | | | | | | | | | | | | | | |
% 195.62/30.96 | | | | | | | | | | | | | | | | | | | | (4166) all_56_13 = e1 & op(e0, e2) = e1
% 195.62/30.96 | | | | | | | | | | | | | | | | | | | |
% 195.62/30.96 | | | | | | | | | | | | | | | | | | | | ALPHA: (4166) implies:
% 195.62/30.96 | | | | | | | | | | | | | | | | | | | | (4167) all_56_13 = e1
% 195.62/30.96 | | | | | | | | | | | | | | | | | | | | (4168) op(e0, e2) = e1
% 195.62/30.96 | | | | | | | | | | | | | | | | | | | |
% 195.62/30.96 | | | | | | | | | | | | | | | | | | | | BETA: splitting (206) gives:
% 195.62/30.96 | | | | | | | | | | | | | | | | | | | |
% 195.62/30.96 | | | | | | | | | | | | | | | | | | | | Case 1:
% 195.62/30.96 | | | | | | | | | | | | | | | | | | | | |
% 195.62/30.96 | | | | | | | | | | | | | | | | | | | | | (4169) all_56_15 = e0 & op(e0, e0) = e0
% 195.62/30.96 | | | | | | | | | | | | | | | | | | | | |
% 195.62/30.96 | | | | | | | | | | | | | | | | | | | | | ALPHA: (4169) implies:
% 195.62/30.96 | | | | | | | | | | | | | | | | | | | | | (4170) op(e0, e0) = e0
% 195.62/30.96 | | | | | | | | | | | | | | | | | | | | |
% 195.62/30.96 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (4020), (4170), (function-axioms) are
% 195.62/30.96 | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1708.
% 195.62/30.96 | | | | | | | | | | | | | | | | | | | | |
% 195.62/30.96 | | | | | | | | | | | | | | | | | | | | Case 2:
% 195.62/30.96 | | | | | | | | | | | | | | | | | | | | |
% 195.62/30.96 | | | | | | | | | | | | | | | | | | | | | (4171) ((all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 =
% 195.62/30.96 | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_56_11 = e0 &
% 195.62/30.96 | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e0)) & ((all_56_12 = e0 & op(e0,
% 195.62/30.96 | | | | | | | | | | | | | | | | | | | | | e3) = e0) | (all_56_13 = e0 & op(e0, e2) =
% 195.62/30.96 | | | | | | | | | | | | | | | | | | | | | e0) | (all_56_14 = e0 & op(e0, e1) = e0))
% 195.62/30.96 | | | | | | | | | | | | | | | | | | | | |
% 195.62/30.96 | | | | | | | | | | | | | | | | | | | | | ALPHA: (4171) implies:
% 195.62/30.96 | | | | | | | | | | | | | | | | | | | | | (4172) (all_56_12 = e0 & op(e0, e3) = e0) | (all_56_13 =
% 195.62/30.96 | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0) | (all_56_14 = e0 & op(e0,
% 195.62/30.96 | | | | | | | | | | | | | | | | | | | | | e1) = e0)
% 195.62/30.96 | | | | | | | | | | | | | | | | | | | | |
% 195.62/30.96 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (159), (206), (208),
% 195.62/30.96 | | | | | | | | | | | | | | | | | | | | | (209), (3952), (4020), (4167), (4168), (4172),
% 195.62/30.96 | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 195.62/30.96 | | | | | | | | | | | | | | | | | | | | | #1146.
% 195.62/30.96 | | | | | | | | | | | | | | | | | | | | |
% 195.62/30.96 | | | | | | | | | | | | | | | | | | | | End of split
% 195.62/30.96 | | | | | | | | | | | | | | | | | | | |
% 195.62/30.96 | | | | | | | | | | | | | | | | | | | End of split
% 195.62/30.96 | | | | | | | | | | | | | | | | | | |
% 195.62/30.96 | | | | | | | | | | | | | | | | | | End of split
% 195.62/30.96 | | | | | | | | | | | | | | | | | |
% 195.62/30.96 | | | | | | | | | | | | | | | | | Case 2:
% 195.62/30.96 | | | | | | | | | | | | | | | | | |
% 195.62/30.96 | | | | | | | | | | | | | | | | | | (4173) all_56_3 = e1 & op(e2, e2) = e1
% 195.62/30.96 | | | | | | | | | | | | | | | | | |
% 195.62/30.96 | | | | | | | | | | | | | | | | | | ALPHA: (4173) implies:
% 195.62/30.96 | | | | | | | | | | | | | | | | | | (4174) op(e2, e2) = e1
% 195.62/30.96 | | | | | | | | | | | | | | | | | |
% 195.62/30.96 | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (3900), (4174), (function-axioms) are
% 195.62/30.96 | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1684.
% 195.62/30.96 | | | | | | | | | | | | | | | | | |
% 195.62/30.96 | | | | | | | | | | | | | | | | | End of split
% 195.62/30.96 | | | | | | | | | | | | | | | | |
% 195.62/30.96 | | | | | | | | | | | | | | | | Case 2:
% 195.62/30.96 | | | | | | | | | | | | | | | | |
% 195.62/30.96 | | | | | | | | | | | | | | | | | (4175) (all_56_5 = e1 & op(e2, e1) = e1) | (all_56_10 =
% 195.62/30.96 | | | | | | | | | | | | | | | | | e1 & op(e2, e0) = e1)
% 195.62/30.96 | | | | | | | | | | | | | | | | |
% 195.62/30.96 | | | | | | | | | | | | | | | | | BETA: splitting (4175) gives:
% 195.62/30.96 | | | | | | | | | | | | | | | | |
% 195.62/30.96 | | | | | | | | | | | | | | | | | Case 1:
% 195.62/30.96 | | | | | | | | | | | | | | | | | |
% 195.62/30.96 | | | | | | | | | | | | | | | | | | (4176) all_56_5 = e1 & op(e2, e1) = e1
% 195.62/30.96 | | | | | | | | | | | | | | | | | |
% 195.62/30.96 | | | | | | | | | | | | | | | | | | ALPHA: (4176) implies:
% 195.62/30.96 | | | | | | | | | | | | | | | | | | (4177) op(e2, e1) = e1
% 195.62/30.96 | | | | | | | | | | | | | | | | | |
% 195.62/30.96 | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (3941), (4177), (function-axioms) are
% 195.62/30.96 | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1871.
% 195.62/30.96 | | | | | | | | | | | | | | | | | |
% 195.62/30.96 | | | | | | | | | | | | | | | | | Case 2:
% 195.62/30.96 | | | | | | | | | | | | | | | | | |
% 195.62/30.96 | | | | | | | | | | | | | | | | | | (4178) all_56_10 = e1 & op(e2, e0) = e1
% 195.62/30.96 | | | | | | | | | | | | | | | | | |
% 195.62/30.96 | | | | | | | | | | | | | | | | | | ALPHA: (4178) implies:
% 195.62/30.96 | | | | | | | | | | | | | | | | | | (4179) all_56_10 = e1
% 195.62/30.96 | | | | | | | | | | | | | | | | | |
% 195.62/30.96 | | | | | | | | | | | | | | | | | | BETA: splitting (206) gives:
% 195.62/30.96 | | | | | | | | | | | | | | | | | |
% 195.62/30.96 | | | | | | | | | | | | | | | | | | Case 1:
% 195.62/30.96 | | | | | | | | | | | | | | | | | | |
% 195.62/30.96 | | | | | | | | | | | | | | | | | | | (4180) all_56_15 = e0 & op(e0, e0) = e0
% 195.62/30.96 | | | | | | | | | | | | | | | | | | |
% 195.62/30.96 | | | | | | | | | | | | | | | | | | | ALPHA: (4180) implies:
% 195.62/30.96 | | | | | | | | | | | | | | | | | | | (4181) op(e0, e0) = e0
% 195.62/30.96 | | | | | | | | | | | | | | | | | | |
% 195.62/30.96 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (4020), (4181), (function-axioms) are
% 195.62/30.96 | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1708.
% 195.62/30.96 | | | | | | | | | | | | | | | | | | |
% 195.62/30.96 | | | | | | | | | | | | | | | | | | Case 2:
% 195.62/30.96 | | | | | | | | | | | | | | | | | | |
% 195.62/30.96 | | | | | | | | | | | | | | | | | | | (4182) ((all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 =
% 195.62/30.96 | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_56_11 = e0 &
% 195.62/30.96 | | | | | | | | | | | | | | | | | | | op(e1, e0) = e0)) & ((all_56_12 = e0 & op(e0,
% 195.62/30.96 | | | | | | | | | | | | | | | | | | | e3) = e0) | (all_56_13 = e0 & op(e0, e2) =
% 195.62/30.96 | | | | | | | | | | | | | | | | | | | e0) | (all_56_14 = e0 & op(e0, e1) = e0))
% 195.62/30.96 | | | | | | | | | | | | | | | | | | |
% 195.62/30.96 | | | | | | | | | | | | | | | | | | | ALPHA: (4182) implies:
% 195.62/30.96 | | | | | | | | | | | | | | | | | | | (4183) (all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 =
% 195.62/30.96 | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_56_11 = e0 & op(e1,
% 195.62/30.96 | | | | | | | | | | | | | | | | | | | e0) = e0)
% 195.62/30.96 | | | | | | | | | | | | | | | | | | |
% 195.62/30.96 | | | | | | | | | | | | | | | | | | | BETA: splitting (4183) gives:
% 195.62/30.96 | | | | | | | | | | | | | | | | | | |
% 195.62/30.96 | | | | | | | | | | | | | | | | | | | Case 1:
% 195.62/30.96 | | | | | | | | | | | | | | | | | | | |
% 195.62/30.96 | | | | | | | | | | | | | | | | | | | | (4184) all_56_9 = e0 & op(e3, e0) = e0
% 195.62/30.96 | | | | | | | | | | | | | | | | | | | |
% 195.62/30.96 | | | | | | | | | | | | | | | | | | | | ALPHA: (4184) implies:
% 195.62/30.96 | | | | | | | | | | | | | | | | | | | | (4185) all_56_9 = e0
% 195.62/30.96 | | | | | | | | | | | | | | | | | | | |
% 195.62/30.96 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (45), (160), (163),
% 195.62/30.96 | | | | | | | | | | | | | | | | | | | | (164), (165), (170), (206), (208), (209), (210),
% 195.62/30.96 | | | | | | | | | | | | | | | | | | | | (211), (212), (213), (215), (219), (220), (221),
% 195.62/30.96 | | | | | | | | | | | | | | | | | | | | (222), (229), (231), (232), (233), (234), (235),
% 195.62/30.96 | | | | | | | | | | | | | | | | | | | | (236), (376), (3896), (3898), (3899), (3900),
% 195.62/30.96 | | | | | | | | | | | | | | | | | | | | (3923), (3938), (3941), (3942), (3945), (3951),
% 195.62/30.96 | | | | | | | | | | | | | | | | | | | | (3956), (4185), (function-axioms) are inconsistent
% 195.62/30.96 | | | | | | | | | | | | | | | | | | | | by sub-proof #1147.
% 195.62/30.96 | | | | | | | | | | | | | | | | | | | |
% 195.62/30.96 | | | | | | | | | | | | | | | | | | | Case 2:
% 195.62/30.96 | | | | | | | | | | | | | | | | | | | |
% 195.62/30.96 | | | | | | | | | | | | | | | | | | | | (4186) (all_56_10 = e0 & op(e2, e0) = e0) | (all_56_11 =
% 195.62/30.96 | | | | | | | | | | | | | | | | | | | | e0 & op(e1, e0) = e0)
% 195.62/30.96 | | | | | | | | | | | | | | | | | | | |
% 195.62/30.96 | | | | | | | | | | | | | | | | | | | | BETA: splitting (4186) gives:
% 195.62/30.96 | | | | | | | | | | | | | | | | | | | |
% 195.62/30.96 | | | | | | | | | | | | | | | | | | | | Case 1:
% 195.62/30.96 | | | | | | | | | | | | | | | | | | | | |
% 195.62/30.96 | | | | | | | | | | | | | | | | | | | | | (4187) all_56_10 = e0 & op(e2, e0) = e0
% 195.62/30.96 | | | | | | | | | | | | | | | | | | | | |
% 195.62/30.96 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (4179), (4187) are inconsistent by sub-proof
% 195.62/30.96 | | | | | | | | | | | | | | | | | | | | | #1671.
% 195.62/30.96 | | | | | | | | | | | | | | | | | | | | |
% 195.62/30.96 | | | | | | | | | | | | | | | | | | | | Case 2:
% 195.62/30.96 | | | | | | | | | | | | | | | | | | | | |
% 195.62/30.96 | | | | | | | | | | | | | | | | | | | | | (4188) all_56_11 = e0 & op(e1, e0) = e0
% 195.62/30.96 | | | | | | | | | | | | | | | | | | | | |
% 195.62/30.96 | | | | | | | | | | | | | | | | | | | | | ALPHA: (4188) implies:
% 195.62/30.96 | | | | | | | | | | | | | | | | | | | | | (4189) all_56_11 = e0
% 195.62/30.96 | | | | | | | | | | | | | | | | | | | | |
% 195.62/30.96 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (212) gives:
% 195.62/30.96 | | | | | | | | | | | | | | | | | | | | |
% 195.62/30.96 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 195.62/30.96 | | | | | | | | | | | | | | | | | | | | | |
% 195.62/30.96 | | | | | | | | | | | | | | | | | | | | | | (4190) (all_56_9 = e3 & op(e3, e0) = e3) | (all_56_10 =
% 195.62/30.96 | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e0) = e3)
% 195.62/30.96 | | | | | | | | | | | | | | | | | | | | | |
% 195.62/30.96 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4190) gives:
% 195.62/30.96 | | | | | | | | | | | | | | | | | | | | | |
% 195.62/30.96 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 195.62/30.96 | | | | | | | | | | | | | | | | | | | | | | |
% 195.62/30.97 | | | | | | | | | | | | | | | | | | | | | | | (4191) all_56_9 = e3 & op(e3, e0) = e3
% 195.62/30.97 | | | | | | | | | | | | | | | | | | | | | | |
% 195.62/30.97 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4191) implies:
% 195.62/30.97 | | | | | | | | | | | | | | | | | | | | | | | (4192) all_56_9 = e3
% 195.62/30.97 | | | | | | | | | | | | | | | | | | | | | | |
% 195.62/30.97 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (45), (206), (211),
% 195.62/30.97 | | | | | | | | | | | | | | | | | | | | | | | (212), (376), (4020), (4179), (4192),
% 195.62/30.97 | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 195.62/30.97 | | | | | | | | | | | | | | | | | | | | | | | #1559.
% 195.62/30.97 | | | | | | | | | | | | | | | | | | | | | | |
% 195.62/30.97 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 195.62/30.97 | | | | | | | | | | | | | | | | | | | | | | |
% 195.62/30.97 | | | | | | | | | | | | | | | | | | | | | | | (4193) all_56_10 = e3 & op(e2, e0) = e3
% 195.62/30.97 | | | | | | | | | | | | | | | | | | | | | | |
% 195.62/30.97 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (4179), (4193) are inconsistent by sub-proof
% 195.62/30.97 | | | | | | | | | | | | | | | | | | | | | | | #1801.
% 195.62/30.97 | | | | | | | | | | | | | | | | | | | | | | |
% 195.62/30.97 | | | | | | | | | | | | | | | | | | | | | | End of split
% 195.62/30.97 | | | | | | | | | | | | | | | | | | | | | |
% 195.62/30.97 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 195.62/30.97 | | | | | | | | | | | | | | | | | | | | | |
% 195.62/30.97 | | | | | | | | | | | | | | | | | | | | | | (4194) (all_56_11 = e3 & op(e1, e0) = e3) | (all_56_15 =
% 195.62/30.97 | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = e3)
% 195.62/30.97 | | | | | | | | | | | | | | | | | | | | | |
% 195.62/30.97 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4194) gives:
% 195.62/30.97 | | | | | | | | | | | | | | | | | | | | | |
% 195.62/30.97 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 195.62/30.97 | | | | | | | | | | | | | | | | | | | | | | |
% 195.62/30.97 | | | | | | | | | | | | | | | | | | | | | | | (4195) all_56_11 = e3 & op(e1, e0) = e3
% 195.62/30.97 | | | | | | | | | | | | | | | | | | | | | | |
% 195.62/30.97 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (4189), (4195) are inconsistent by sub-proof
% 195.62/30.97 | | | | | | | | | | | | | | | | | | | | | | | #1145.
% 195.62/30.97 | | | | | | | | | | | | | | | | | | | | | | |
% 195.62/30.97 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 195.62/30.97 | | | | | | | | | | | | | | | | | | | | | | |
% 195.62/30.97 | | | | | | | | | | | | | | | | | | | | | | | (4196) all_56_15 = e3 & op(e0, e0) = e3
% 195.62/30.97 | | | | | | | | | | | | | | | | | | | | | | |
% 195.62/30.97 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4196) implies:
% 195.62/30.97 | | | | | | | | | | | | | | | | | | | | | | | (4197) op(e0, e0) = e3
% 195.62/30.97 | | | | | | | | | | | | | | | | | | | | | | |
% 195.62/30.97 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (4020), (4197), (function-axioms) are
% 195.62/30.97 | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1699.
% 195.62/30.97 | | | | | | | | | | | | | | | | | | | | | | |
% 195.62/30.97 | | | | | | | | | | | | | | | | | | | | | | End of split
% 195.62/30.97 | | | | | | | | | | | | | | | | | | | | | |
% 195.62/30.97 | | | | | | | | | | | | | | | | | | | | | End of split
% 195.62/30.97 | | | | | | | | | | | | | | | | | | | | |
% 195.62/30.97 | | | | | | | | | | | | | | | | | | | | End of split
% 195.62/30.97 | | | | | | | | | | | | | | | | | | | |
% 195.62/30.97 | | | | | | | | | | | | | | | | | | | End of split
% 195.62/30.97 | | | | | | | | | | | | | | | | | | |
% 195.62/30.97 | | | | | | | | | | | | | | | | | | End of split
% 195.62/30.97 | | | | | | | | | | | | | | | | | |
% 195.62/30.97 | | | | | | | | | | | | | | | | | End of split
% 195.62/30.97 | | | | | | | | | | | | | | | | |
% 195.62/30.97 | | | | | | | | | | | | | | | | End of split
% 195.62/30.97 | | | | | | | | | | | | | | | |
% 195.62/30.97 | | | | | | | | | | | | | | | End of split
% 195.62/30.97 | | | | | | | | | | | | | | |
% 195.62/30.97 | | | | | | | | | | | | | | End of split
% 195.62/30.97 | | | | | | | | | | | | | |
% 195.62/30.97 | | | | | | | | | | | | | Case 2:
% 195.62/30.97 | | | | | | | | | | | | | |
% 195.62/30.97 | | | | | | | | | | | | | | (4198) all_54_10 = e0
% 195.62/30.97 | | | | | | | | | | | | | |
% 195.62/30.97 | | | | | | | | | | | | | | COMBINE_EQS: (335), (4198) imply:
% 195.62/30.97 | | | | | | | | | | | | | | (4199) all_4_2 = e0
% 195.62/30.97 | | | | | | | | | | | | | |
% 195.62/30.97 | | | | | | | | | | | | | | REDUCE: (372), (4199) imply:
% 195.62/30.97 | | | | | | | | | | | | | | (4200) $false
% 195.62/30.97 | | | | | | | | | | | | | |
% 195.62/30.97 | | | | | | | | | | | | | | CLOSE: (4200) is inconsistent.
% 195.62/30.97 | | | | | | | | | | | | | |
% 195.62/30.97 | | | | | | | | | | | | | End of split
% 195.62/30.97 | | | | | | | | | | | | |
% 195.62/30.97 | | | | | | | | | | | | End of split
% 195.62/30.97 | | | | | | | | | | | |
% 195.62/30.97 | | | | | | | | | | | End of split
% 195.62/30.97 | | | | | | | | | | |
% 195.62/30.97 | | | | | | | | | | Case 2:
% 195.62/30.97 | | | | | | | | | | |
% 195.62/30.97 | | | | | | | | | | | (4201) all_32_2 = e3
% 195.62/30.97 | | | | | | | | | | |
% 195.62/30.97 | | | | | | | | | | | COMBINE_EQS: (301), (4201) imply:
% 195.62/30.97 | | | | | | | | | | | (4202) all_4_2 = e3
% 195.62/30.97 | | | | | | | | | | |
% 195.62/30.97 | | | | | | | | | | | REDUCE: (365), (4202) imply:
% 195.62/30.97 | | | | | | | | | | | (4203) ~ (all_52_11 = e3)
% 195.62/30.97 | | | | | | | | | | |
% 195.62/30.97 | | | | | | | | | | | REDUCE: (367), (4202) imply:
% 195.62/30.97 | | | | | | | | | | | (4204) ~ (all_52_14 = e3)
% 195.62/30.97 | | | | | | | | | | |
% 195.62/30.97 | | | | | | | | | | | REDUCE: (36), (4202) imply:
% 195.62/30.97 | | | | | | | | | | | (4205) op(e1, e1) = e3
% 195.62/30.97 | | | | | | | | | | |
% 195.62/30.97 | | | | | | | | | | | BETA: splitting (212) gives:
% 195.62/30.97 | | | | | | | | | | |
% 195.62/30.97 | | | | | | | | | | | Case 1:
% 195.62/30.97 | | | | | | | | | | | |
% 195.62/30.97 | | | | | | | | | | | | (4206) (all_56_9 = e3 & op(e3, e0) = e3) | (all_56_10 =
% 195.62/30.97 | | | | | | | | | | | | e3 & op(e2, e0) = e3)
% 195.62/30.97 | | | | | | | | | | | |
% 195.62/30.97 | | | | | | | | | | | | BETA: splitting (4206) gives:
% 195.62/30.97 | | | | | | | | | | | |
% 195.62/30.97 | | | | | | | | | | | | Case 1:
% 195.62/30.97 | | | | | | | | | | | | |
% 195.62/30.97 | | | | | | | | | | | | | (4207) all_56_9 = e3 & op(e3, e0) = e3
% 195.62/30.97 | | | | | | | | | | | | |
% 195.62/30.97 | | | | | | | | | | | | | ALPHA: (4207) implies:
% 195.62/30.97 | | | | | | | | | | | | | (4208) op(e3, e0) = e3
% 195.62/30.97 | | | | | | | | | | | | |
% 195.62/30.97 | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (45), (51), (82),
% 195.62/30.97 | | | | | | | | | | | | | (97), (100), (125), (128), (139), (140), (157),
% 195.62/30.97 | | | | | | | | | | | | | (159), (162), (163), (168), (190), (191), (204),
% 195.62/30.97 | | | | | | | | | | | | | (209), (213), (225), (226), (227), (239), (247),
% 195.62/30.97 | | | | | | | | | | | | | (248), (279), (281), (297), (313), (339), (347),
% 195.62/30.97 | | | | | | | | | | | | | (361), (368), (376), (377), (3900), (3921),
% 195.62/30.97 | | | | | | | | | | | | | (3923), (4203), (4205), (4208), (function-axioms)
% 195.62/30.97 | | | | | | | | | | | | | are inconsistent by sub-proof #1132.
% 195.62/30.97 | | | | | | | | | | | | |
% 195.62/30.97 | | | | | | | | | | | | Case 2:
% 195.62/30.97 | | | | | | | | | | | | |
% 195.62/30.97 | | | | | | | | | | | | | (4209) all_56_10 = e3 & op(e2, e0) = e3
% 195.62/30.97 | | | | | | | | | | | | |
% 195.62/30.97 | | | | | | | | | | | | | ALPHA: (4209) implies:
% 195.62/30.97 | | | | | | | | | | | | | (4210) op(e2, e0) = e3
% 195.62/30.97 | | | | | | | | | | | | |
% 195.62/30.97 | | | | | | | | | | | | | REF_CLOSE: (164), (3899), (4210), (function-axioms) are
% 195.62/30.97 | | | | | | | | | | | | | inconsistent by sub-proof #1659.
% 195.62/30.97 | | | | | | | | | | | | |
% 195.62/30.97 | | | | | | | | | | | | End of split
% 195.62/30.97 | | | | | | | | | | | |
% 195.62/30.97 | | | | | | | | | | | Case 2:
% 195.62/30.97 | | | | | | | | | | | |
% 195.62/30.97 | | | | | | | | | | | | (4211) (all_56_11 = e3 & op(e1, e0) = e3) | (all_56_15 =
% 195.62/30.97 | | | | | | | | | | | | e3 & op(e0, e0) = e3)
% 195.62/30.97 | | | | | | | | | | | |
% 195.62/30.97 | | | | | | | | | | | | BETA: splitting (4211) gives:
% 195.62/30.97 | | | | | | | | | | | |
% 195.62/30.97 | | | | | | | | | | | | Case 1:
% 195.62/30.97 | | | | | | | | | | | | |
% 195.62/30.97 | | | | | | | | | | | | | (4212) all_56_11 = e3 & op(e1, e0) = e3
% 195.62/30.97 | | | | | | | | | | | | |
% 195.62/30.97 | | | | | | | | | | | | | REF_CLOSE: (160), (4204), (4212), (function-axioms) are
% 195.62/30.97 | | | | | | | | | | | | | inconsistent by sub-proof #1762.
% 195.62/30.97 | | | | | | | | | | | | |
% 195.62/30.97 | | | | | | | | | | | | Case 2:
% 195.62/30.97 | | | | | | | | | | | | |
% 195.62/30.97 | | | | | | | | | | | | | (4213) all_56_15 = e3 & op(e0, e0) = e3
% 195.62/30.97 | | | | | | | | | | | | |
% 195.62/30.97 | | | | | | | | | | | | | ALPHA: (4213) implies:
% 195.62/30.97 | | | | | | | | | | | | | (4214) op(e0, e0) = e3
% 195.62/30.97 | | | | | | | | | | | | |
% 195.62/30.97 | | | | | | | | | | | | | REF_CLOSE: (45), (376), (4214), (function-axioms) are
% 195.62/30.97 | | | | | | | | | | | | | inconsistent by sub-proof #1955.
% 195.62/30.97 | | | | | | | | | | | | |
% 195.62/30.97 | | | | | | | | | | | | End of split
% 195.62/30.97 | | | | | | | | | | | |
% 195.62/30.97 | | | | | | | | | | | End of split
% 195.62/30.97 | | | | | | | | | | |
% 195.62/30.97 | | | | | | | | | | End of split
% 195.62/30.97 | | | | | | | | | |
% 195.62/30.97 | | | | | | | | | Case 2:
% 195.62/30.97 | | | | | | | | | |
% 195.62/30.97 | | | | | | | | | | (4215) all_30_2 = e2
% 195.62/30.97 | | | | | | | | | |
% 195.62/30.97 | | | | | | | | | | COMBINE_EQS: (309), (4215) imply:
% 195.62/30.97 | | | | | | | | | | (4216) all_10_2 = e2
% 195.62/30.97 | | | | | | | | | |
% 195.62/30.97 | | | | | | | | | | REDUCE: (361), (4216) imply:
% 195.62/30.97 | | | | | | | | | | (4217) ~ (all_52_7 = e2)
% 195.62/30.97 | | | | | | | | | |
% 195.62/30.97 | | | | | | | | | | REDUCE: (369), (4216) imply:
% 195.62/30.97 | | | | | | | | | | (4218) ~ (all_52_12 = e2)
% 195.62/30.97 | | | | | | | | | |
% 195.62/30.97 | | | | | | | | | | REDUCE: (370), (4216) imply:
% 195.62/30.97 | | | | | | | | | | (4219) ~ (all_52_13 = e2)
% 195.62/30.97 | | | | | | | | | |
% 195.62/30.97 | | | | | | | | | | REDUCE: (371), (4216) imply:
% 195.62/30.97 | | | | | | | | | | (4220) ~ (all_52_14 = e2)
% 195.62/30.97 | | | | | | | | | |
% 195.62/30.97 | | | | | | | | | | REDUCE: (45), (4216) imply:
% 195.62/30.97 | | | | | | | | | | (4221) op(e0, e0) = e2
% 195.62/30.97 | | | | | | | | | |
% 195.62/30.97 | | | | | | | | | | BETA: splitting (79) gives:
% 195.62/30.97 | | | | | | | | | |
% 195.62/30.97 | | | | | | | | | | Case 1:
% 195.62/30.97 | | | | | | | | | | |
% 195.62/30.97 | | | | | | | | | | | (4222) ~ (all_32_2 = e3)
% 195.62/30.97 | | | | | | | | | | |
% 195.62/30.97 | | | | | | | | | | | REDUCE: (301), (4222) imply:
% 195.62/30.97 | | | | | | | | | | | (4223) ~ (all_4_2 = e3)
% 195.62/30.97 | | | | | | | | | | |
% 195.62/30.97 | | | | | | | | | | | REF_CLOSE: (36), (51), (82), (159), (160), (162), (163),
% 195.62/30.97 | | | | | | | | | | | (164), (165), (168), (169), (170), (194), (204),
% 195.62/30.97 | | | | | | | | | | | (220), (238), (279), (313), (335), (341), (345),
% 195.62/30.97 | | | | | | | | | | | (347), (349), (360), (367), (372), (375), (377),
% 195.62/30.97 | | | | | | | | | | | (3896), (3898), (3900), (3921), (4219), (4221),
% 195.62/30.97 | | | | | | | | | | | (4223), (function-axioms) are inconsistent by
% 195.62/30.97 | | | | | | | | | | | sub-proof #1127.
% 195.62/30.97 | | | | | | | | | | |
% 195.62/30.97 | | | | | | | | | | Case 2:
% 195.62/30.97 | | | | | | | | | | |
% 195.62/30.97 | | | | | | | | | | | (4224) all_32_2 = e3
% 195.62/30.97 | | | | | | | | | | |
% 195.62/30.97 | | | | | | | | | | | COMBINE_EQS: (301), (4224) imply:
% 195.62/30.97 | | | | | | | | | | | (4225) all_4_2 = e3
% 195.62/30.97 | | | | | | | | | | |
% 195.62/30.97 | | | | | | | | | | | SIMP: (4225) implies:
% 195.62/30.97 | | | | | | | | | | | (4226) all_4_2 = e3
% 195.62/30.97 | | | | | | | | | | |
% 195.62/30.97 | | | | | | | | | | | REDUCE: (365), (4226) imply:
% 195.62/30.97 | | | | | | | | | | | (4227) ~ (all_52_11 = e3)
% 195.62/30.97 | | | | | | | | | | |
% 195.62/30.97 | | | | | | | | | | | REDUCE: (367), (4226) imply:
% 195.62/30.97 | | | | | | | | | | | (4228) ~ (all_52_14 = e3)
% 195.62/30.97 | | | | | | | | | | |
% 195.62/30.97 | | | | | | | | | | | REDUCE: (36), (4226) imply:
% 195.62/30.97 | | | | | | | | | | | (4229) op(e1, e1) = e3
% 195.62/30.97 | | | | | | | | | | |
% 195.62/30.97 | | | | | | | | | | | BETA: splitting (209) gives:
% 195.62/30.97 | | | | | | | | | | |
% 195.62/30.97 | | | | | | | | | | | Case 1:
% 195.62/30.97 | | | | | | | | | | | |
% 195.62/30.97 | | | | | | | | | | | | (4230) (all_56_12 = e3 & op(e0, e3) = e3) | (all_56_13 =
% 195.62/30.97 | | | | | | | | | | | | e3 & op(e0, e2) = e3)
% 195.62/30.97 | | | | | | | | | | | |
% 195.62/30.97 | | | | | | | | | | | | BETA: splitting (4230) gives:
% 195.62/30.97 | | | | | | | | | | | |
% 195.62/30.97 | | | | | | | | | | | | Case 1:
% 195.62/30.97 | | | | | | | | | | | | |
% 195.62/30.97 | | | | | | | | | | | | | (4231) all_56_12 = e3 & op(e0, e3) = e3
% 195.62/30.97 | | | | | | | | | | | | |
% 195.62/30.97 | | | | | | | | | | | | | ALPHA: (4231) implies:
% 195.62/30.97 | | | | | | | | | | | | | (4232) op(e0, e3) = e3
% 195.62/30.97 | | | | | | | | | | | | |
% 195.62/30.97 | | | | | | | | | | | | | BETA: splitting (212) gives:
% 195.62/30.97 | | | | | | | | | | | | |
% 195.62/30.97 | | | | | | | | | | | | | Case 1:
% 195.62/30.97 | | | | | | | | | | | | | |
% 195.62/30.97 | | | | | | | | | | | | | | (4233) (all_56_9 = e3 & op(e3, e0) = e3) | (all_56_10 =
% 195.62/30.97 | | | | | | | | | | | | | | e3 & op(e2, e0) = e3)
% 195.62/30.97 | | | | | | | | | | | | | |
% 195.62/30.97 | | | | | | | | | | | | | | BETA: splitting (4233) gives:
% 195.62/30.97 | | | | | | | | | | | | | |
% 195.62/30.97 | | | | | | | | | | | | | | Case 1:
% 195.62/30.97 | | | | | | | | | | | | | | |
% 195.62/30.97 | | | | | | | | | | | | | | | (4234) all_56_9 = e3 & op(e3, e0) = e3
% 195.62/30.97 | | | | | | | | | | | | | | |
% 195.62/30.97 | | | | | | | | | | | | | | | ALPHA: (4234) implies:
% 195.62/30.97 | | | | | | | | | | | | | | | (4235) all_56_9 = e3
% 195.62/30.97 | | | | | | | | | | | | | | | (4236) op(e3, e0) = e3
% 195.62/30.97 | | | | | | | | | | | | | | |
% 195.62/30.97 | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_3, e3,
% 195.62/30.97 | | | | | | | | | | | | | | | e3, e0, simplifying with (159), (4232) gives:
% 195.62/30.97 | | | | | | | | | | | | | | | (4237) all_52_3 = e3
% 195.62/30.97 | | | | | | | | | | | | | | |
% 195.62/30.97 | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_12,
% 195.62/30.97 | | | | | | | | | | | | | | | e3, e0, e3, simplifying with (168), (4236) gives:
% 195.62/30.97 | | | | | | | | | | | | | | | (4238) all_52_12 = e3
% 195.62/30.97 | | | | | | | | | | | | | | |
% 195.62/30.97 | | | | | | | | | | | | | | | REDUCE: (140), (4237) imply:
% 195.62/30.97 | | | | | | | | | | | | | | | (4239) ~ (all_52_7 = e3)
% 195.62/30.97 | | | | | | | | | | | | | | |
% 195.62/30.97 | | | | | | | | | | | | | | | SIMP: (4239) implies:
% 195.62/30.97 | | | | | | | | | | | | | | | (4240) ~ (all_52_7 = e3)
% 195.62/30.97 | | | | | | | | | | | | | | |
% 195.62/30.97 | | | | | | | | | | | | | | | REDUCE: (112), (4238) imply:
% 195.62/30.97 | | | | | | | | | | | | | | | (4241) ~ (all_52_14 = e3)
% 195.62/30.97 | | | | | | | | | | | | | | |
% 195.62/30.97 | | | | | | | | | | | | | | | REDUCE: (3917), (4238) imply:
% 195.62/30.97 | | | | | | | | | | | | | | | (4242) ~ (all_16_1 = e3)
% 195.62/30.97 | | | | | | | | | | | | | | |
% 195.62/30.97 | | | | | | | | | | | | | | | REDUCE: (347), (4238) imply:
% 195.62/30.97 | | | | | | | | | | | | | | | (4243) ~ (all_14_2 = e3)
% 195.62/30.97 | | | | | | | | | | | | | | |
% 195.62/30.97 | | | | | | | | | | | | | | | SIMP: (4243) implies:
% 195.62/30.97 | | | | | | | | | | | | | | | (4244) ~ (all_14_2 = e3)
% 195.62/30.97 | | | | | | | | | | | | | | |
% 195.62/30.97 | | | | | | | | | | | | | | | BETA: splitting (204) gives:
% 195.62/30.97 | | | | | | | | | | | | | | |
% 195.62/30.97 | | | | | | | | | | | | | | | Case 1:
% 195.62/30.97 | | | | | | | | | | | | | | | |
% 195.62/30.97 | | | | | | | | | | | | | | | | (4245) all_54_0 = e3
% 195.62/30.97 | | | | | | | | | | | | | | | |
% 195.62/30.97 | | | | | | | | | | | | | | | | COMBINE_EQS: (279), (4245) imply:
% 195.62/30.97 | | | | | | | | | | | | | | | | (4246) all_14_2 = e3
% 195.62/30.97 | | | | | | | | | | | | | | | |
% 195.62/30.97 | | | | | | | | | | | | | | | | REDUCE: (4244), (4246) imply:
% 195.62/30.97 | | | | | | | | | | | | | | | | (4247) $false
% 195.62/30.97 | | | | | | | | | | | | | | | |
% 195.62/30.97 | | | | | | | | | | | | | | | | CLOSE: (4247) is inconsistent.
% 195.62/30.97 | | | | | | | | | | | | | | | |
% 195.62/30.97 | | | | | | | | | | | | | | | Case 2:
% 195.62/30.97 | | | | | | | | | | | | | | | |
% 195.62/30.97 | | | | | | | | | | | | | | | | (4248) all_54_0 = e2 | all_54_0 = e1 | all_54_0 = e0
% 195.62/30.97 | | | | | | | | | | | | | | | |
% 195.62/30.97 | | | | | | | | | | | | | | | | BETA: splitting (4248) gives:
% 195.62/30.97 | | | | | | | | | | | | | | | |
% 195.62/30.97 | | | | | | | | | | | | | | | | Case 1:
% 195.62/30.97 | | | | | | | | | | | | | | | | |
% 195.62/30.97 | | | | | | | | | | | | | | | | | (4249) all_54_0 = e2
% 195.62/30.97 | | | | | | | | | | | | | | | | |
% 195.62/30.97 | | | | | | | | | | | | | | | | | COMBINE_EQS: (279), (4249) imply:
% 195.62/30.97 | | | | | | | | | | | | | | | | | (4250) all_14_2 = e2
% 195.62/30.97 | | | | | | | | | | | | | | | | |
% 195.62/30.97 | | | | | | | | | | | | | | | | | REDUCE: (377), (4250) imply:
% 195.62/30.97 | | | | | | | | | | | | | | | | | (4251) $false
% 195.62/30.97 | | | | | | | | | | | | | | | | |
% 195.62/30.97 | | | | | | | | | | | | | | | | | CLOSE: (4251) is inconsistent.
% 195.62/30.97 | | | | | | | | | | | | | | | | |
% 195.62/30.97 | | | | | | | | | | | | | | | | Case 2:
% 195.62/30.97 | | | | | | | | | | | | | | | | |
% 195.62/30.97 | | | | | | | | | | | | | | | | | (4252) ~ (all_54_0 = e2)
% 195.62/30.97 | | | | | | | | | | | | | | | | | (4253) all_54_0 = e1 | all_54_0 = e0
% 195.62/30.97 | | | | | | | | | | | | | | | | |
% 195.62/30.97 | | | | | | | | | | | | | | | | | BETA: splitting (4253) gives:
% 195.62/30.97 | | | | | | | | | | | | | | | | |
% 195.62/30.97 | | | | | | | | | | | | | | | | | Case 1:
% 195.62/30.97 | | | | | | | | | | | | | | | | | |
% 195.62/30.97 | | | | | | | | | | | | | | | | | | (4254) all_54_0 = e1
% 195.62/30.97 | | | | | | | | | | | | | | | | | |
% 195.62/30.97 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (279), (4254) imply:
% 195.62/30.97 | | | | | | | | | | | | | | | | | | (4255) all_14_2 = e1
% 195.62/30.97 | | | | | | | | | | | | | | | | | |
% 195.62/30.97 | | | | | | | | | | | | | | | | | | REDUCE: (3921), (4255) imply:
% 195.62/30.97 | | | | | | | | | | | | | | | | | | (4256) $false
% 195.62/30.97 | | | | | | | | | | | | | | | | | |
% 195.62/30.97 | | | | | | | | | | | | | | | | | | CLOSE: (4256) is inconsistent.
% 195.62/30.97 | | | | | | | | | | | | | | | | | |
% 195.62/30.97 | | | | | | | | | | | | | | | | | Case 2:
% 195.62/30.97 | | | | | | | | | | | | | | | | | |
% 195.62/30.97 | | | | | | | | | | | | | | | | | | (4257) all_54_0 = e0
% 195.62/30.97 | | | | | | | | | | | | | | | | | |
% 195.62/30.97 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (279), (4257) imply:
% 195.62/30.97 | | | | | | | | | | | | | | | | | | (4258) all_14_2 = e0
% 195.62/30.97 | | | | | | | | | | | | | | | | | |
% 195.62/30.97 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (313), (4258) imply:
% 195.62/30.97 | | | | | | | | | | | | | | | | | | (4259) all_34_2 = e0
% 195.62/30.97 | | | | | | | | | | | | | | | | | |
% 195.62/30.97 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (281), (4258) imply:
% 195.62/30.97 | | | | | | | | | | | | | | | | | | (4260) all_44_2 = e0
% 195.62/30.97 | | | | | | | | | | | | | | | | | |
% 195.62/30.97 | | | | | | | | | | | | | | | | | | REDUCE: (3918), (4258) imply:
% 195.62/30.97 | | | | | | | | | | | | | | | | | | (4261) ~ (all_16_1 = e0)
% 195.62/30.97 | | | | | | | | | | | | | | | | | |
% 195.62/30.97 | | | | | | | | | | | | | | | | | | REDUCE: (377), (4258) imply:
% 195.62/30.97 | | | | | | | | | | | | | | | | | | (4262) ~ (e2 = e0)
% 195.62/30.97 | | | | | | | | | | | | | | | | | |
% 195.62/30.97 | | | | | | | | | | | | | | | | | | REDUCE: (3921), (4258) imply:
% 195.62/30.97 | | | | | | | | | | | | | | | | | | (4263) ~ (e1 = e0)
% 195.62/30.97 | | | | | | | | | | | | | | | | | |
% 195.62/30.97 | | | | | | | | | | | | | | | | | | REDUCE: (51), (4258) imply:
% 195.62/30.97 | | | | | | | | | | | | | | | | | | (4264) op(e3, e3) = e0
% 195.62/30.97 | | | | | | | | | | | | | | | | | |
% 195.62/30.97 | | | | | | | | | | | | | | | | | | BETA: splitting (82) gives:
% 195.62/30.97 | | | | | | | | | | | | | | | | | |
% 195.62/30.97 | | | | | | | | | | | | | | | | | | Case 1:
% 195.62/30.97 | | | | | | | | | | | | | | | | | | |
% 195.62/30.97 | | | | | | | | | | | | | | | | | | | (4265) ~ (all_34_2 = e0)
% 195.62/30.97 | | | | | | | | | | | | | | | | | | |
% 195.62/30.97 | | | | | | | | | | | | | | | | | | | REDUCE: (4259), (4265) imply:
% 195.62/30.97 | | | | | | | | | | | | | | | | | | | (4266) $false
% 195.62/30.97 | | | | | | | | | | | | | | | | | | |
% 195.62/30.97 | | | | | | | | | | | | | | | | | | | CLOSE: (4266) is inconsistent.
% 195.62/30.97 | | | | | | | | | | | | | | | | | | |
% 195.62/30.97 | | | | | | | | | | | | | | | | | | Case 2:
% 195.62/30.97 | | | | | | | | | | | | | | | | | | |
% 195.62/30.97 | | | | | | | | | | | | | | | | | | | (4267) op(e0, e3) = all_34_1 & $i(all_34_1) & ( ~
% 195.62/30.97 | | | | | | | | | | | | | | | | | | | (all_34_1 = e2) | ( ~ (all_34_0 = e1) & op(e2,
% 195.62/30.97 | | | | | | | | | | | | | | | | | | | e0) = all_34_0 & $i(all_34_0)))
% 195.62/30.97 | | | | | | | | | | | | | | | | | | |
% 195.62/30.97 | | | | | | | | | | | | | | | | | | | ALPHA: (4267) implies:
% 195.62/30.97 | | | | | | | | | | | | | | | | | | | (4268) op(e0, e3) = all_34_1
% 195.62/30.97 | | | | | | | | | | | | | | | | | | |
% 195.62/30.97 | | | | | | | | | | | | | | | | | | | BETA: splitting (97) gives:
% 195.62/30.97 | | | | | | | | | | | | | | | | | | |
% 195.62/30.97 | | | | | | | | | | | | | | | | | | | Case 1:
% 195.62/30.97 | | | | | | | | | | | | | | | | | | | |
% 195.62/30.97 | | | | | | | | | | | | | | | | | | | | (4269) ~ (all_44_2 = e0)
% 195.62/30.97 | | | | | | | | | | | | | | | | | | | |
% 195.62/30.97 | | | | | | | | | | | | | | | | | | | | REDUCE: (4260), (4269) imply:
% 195.62/30.97 | | | | | | | | | | | | | | | | | | | | (4270) $false
% 195.62/30.97 | | | | | | | | | | | | | | | | | | | |
% 195.62/30.97 | | | | | | | | | | | | | | | | | | | | CLOSE: (4270) is inconsistent.
% 195.62/30.97 | | | | | | | | | | | | | | | | | | | |
% 195.62/30.97 | | | | | | | | | | | | | | | | | | | Case 2:
% 195.62/30.97 | | | | | | | | | | | | | | | | | | | |
% 195.62/30.97 | | | | | | | | | | | | | | | | | | | | (4271) op(e0, e3) = all_44_1 & $i(all_44_1) & ( ~
% 195.62/30.97 | | | | | | | | | | | | | | | | | | | | (all_44_1 = e1) | ( ~ (all_44_0 = e2) & op(e1,
% 195.62/30.97 | | | | | | | | | | | | | | | | | | | | e0) = all_44_0 & $i(all_44_0)))
% 195.62/30.97 | | | | | | | | | | | | | | | | | | | |
% 195.62/30.97 | | | | | | | | | | | | | | | | | | | | ALPHA: (4271) implies:
% 195.62/30.97 | | | | | | | | | | | | | | | | | | | | (4272) op(e0, e3) = all_44_1
% 195.62/30.97 | | | | | | | | | | | | | | | | | | | |
% 195.62/30.97 | | | | | | | | | | | | | | | | | | | | BETA: splitting (239) gives:
% 195.62/30.97 | | | | | | | | | | | | | | | | | | | |
% 195.62/30.97 | | | | | | | | | | | | | | | | | | | | Case 1:
% 195.62/30.97 | | | | | | | | | | | | | | | | | | | | |
% 195.62/30.97 | | | | | | | | | | | | | | | | | | | | | (4273) (all_57_1 = e2 & ~ (all_57_3 = e3) & ~ (all_57_8
% 195.62/30.97 | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_10 = e2) & ~ (all_57_12 =
% 195.62/30.97 | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_14 = e0) & op(e3, e3) = e2 &
% 195.62/30.97 | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_3 & op(e2, all_57_9) =
% 195.62/30.97 | | | | | | | | | | | | | | | | | | | | | all_57_8 & op(e2, all_57_11) = all_57_10 &
% 195.62/30.97 | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_13) = all_57_12 & op(e2,
% 195.62/30.97 | | | | | | | | | | | | | | | | | | | | | all_57_15) = all_57_14 & op(e2, e3) = all_57_9
% 195.62/30.97 | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = all_57_11 & op(e2, e1) =
% 195.62/30.97 | | | | | | | | | | | | | | | | | | | | | all_57_13 & op(e2, e0) = all_57_15 &
% 195.62/30.97 | | | | | | | | | | | | | | | | | | | | | $i(all_57_3) & $i(all_57_8) & $i(all_57_9) &
% 195.62/30.97 | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & $i(all_57_11) & $i(all_57_12) &
% 195.62/30.97 | | | | | | | | | | | | | | | | | | | | | $i(all_57_13) & $i(all_57_14) & $i(all_57_15)) |
% 195.62/30.97 | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e1 & ~ (all_57_5 = e3) & ~
% 195.62/30.97 | | | | | | | | | | | | | | | | | | | | | (all_57_16 = e3) & ~ (all_57_18 = e2) & ~
% 195.62/30.97 | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_22 = e0) & op(e3,
% 195.62/30.97 | | | | | | | | | | | | | | | | | | | | | e3) = e1 & op(e3, e1) = all_57_5 & op(e1,
% 195.62/30.97 | | | | | | | | | | | | | | | | | | | | | all_57_17) = all_57_16 & op(e1, all_57_19) =
% 195.62/30.97 | | | | | | | | | | | | | | | | | | | | | all_57_18 & op(e1, all_57_21) = all_57_20 &
% 195.62/30.97 | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_23) = all_57_22 & op(e1, e3) =
% 195.62/30.97 | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e1, e2) = all_57_19 & op(e1, e1)
% 195.62/30.97 | | | | | | | | | | | | | | | | | | | | | = all_57_21 & op(e1, e0) = all_57_23 &
% 195.62/30.97 | | | | | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_16) & $i(all_57_17) &
% 195.62/30.97 | | | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_19) & $i(all_57_20) &
% 195.62/30.97 | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_22) & $i(all_57_23)) |
% 195.62/30.97 | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e0 & ~ (all_57_7 = e3) & ~
% 195.62/30.97 | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 195.62/30.97 | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) & op(e3,
% 195.62/30.97 | | | | | | | | | | | | | | | | | | | | | e3) = e0 & op(e3, e0) = all_57_7 & op(e0,
% 195.62/30.97 | | | | | | | | | | | | | | | | | | | | | all_57_25) = all_57_24 & op(e0, all_57_27) =
% 195.62/30.97 | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e0, all_57_29) = all_57_28 &
% 195.62/30.97 | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_31) = all_57_30 & op(e0, e3) =
% 195.62/30.97 | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_27 & op(e0, e1)
% 195.62/30.97 | | | | | | | | | | | | | | | | | | | | | = all_57_29 & op(e0, e0) = all_57_31 &
% 195.62/30.97 | | | | | | | | | | | | | | | | | | | | | $i(all_57_7) & $i(all_57_24) & $i(all_57_25) &
% 195.62/30.97 | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_27) & $i(all_57_28) &
% 195.62/30.97 | | | | | | | | | | | | | | | | | | | | | $i(all_57_29) & $i(all_57_30) & $i(all_57_31)) |
% 195.62/30.97 | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e3 & ~ (all_57_0 = e3) & ~
% 195.62/30.97 | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e2) & ~ (all_57_4 = e1) & ~
% 195.62/30.97 | | | | | | | | | | | | | | | | | | | | | (all_57_6 = e0) & ~ (all_57_9 = e2) & op(e3,
% 195.62/30.97 | | | | | | | | | | | | | | | | | | | | | all_57_1) = all_57_0 & op(e3, all_57_3) =
% 195.62/30.97 | | | | | | | | | | | | | | | | | | | | | all_57_2 & op(e3, all_57_5) = all_57_4 & op(e3,
% 195.62/30.97 | | | | | | | | | | | | | | | | | | | | | all_57_7) = all_57_6 & op(e3, e3) = all_57_1 &
% 195.62/30.97 | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_3 & op(e3, e1) = all_57_5 &
% 195.62/30.97 | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_7 & op(e2, e3) = all_57_9 &
% 195.62/30.97 | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e3 & $i(all_57_0) & $i(all_57_1) &
% 195.62/30.97 | | | | | | | | | | | | | | | | | | | | | $i(all_57_2) & $i(all_57_3) & $i(all_57_4) &
% 195.62/30.97 | | | | | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 195.62/30.97 | | | | | | | | | | | | | | | | | | | | | $i(all_57_9))
% 195.62/30.97 | | | | | | | | | | | | | | | | | | | | |
% 195.62/30.97 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4273) gives:
% 195.62/30.97 | | | | | | | | | | | | | | | | | | | | |
% 195.62/30.97 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 195.62/30.97 | | | | | | | | | | | | | | | | | | | | | |
% 195.62/30.97 | | | | | | | | | | | | | | | | | | | | | | (4274) (all_57_1 = e2 & ~ (all_57_3 = e3) & ~ (all_57_8
% 195.62/30.97 | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_10 = e2) & ~ (all_57_12 =
% 195.62/30.97 | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_14 = e0) & op(e3, e3) = e2 &
% 195.62/30.97 | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_3 & op(e2, all_57_9) =
% 195.62/30.97 | | | | | | | | | | | | | | | | | | | | | | all_57_8 & op(e2, all_57_11) = all_57_10 &
% 195.62/30.97 | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_13) = all_57_12 & op(e2,
% 195.62/30.97 | | | | | | | | | | | | | | | | | | | | | | all_57_15) = all_57_14 & op(e2, e3) = all_57_9
% 195.62/30.97 | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = all_57_11 & op(e2, e1) =
% 195.62/30.97 | | | | | | | | | | | | | | | | | | | | | | all_57_13 & op(e2, e0) = all_57_15 &
% 195.62/30.97 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_3) & $i(all_57_8) & $i(all_57_9) &
% 195.62/30.97 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & $i(all_57_11) & $i(all_57_12) &
% 195.62/30.97 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13) & $i(all_57_14) & $i(all_57_15)) |
% 195.62/30.97 | | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e1 & ~ (all_57_5 = e3) & ~
% 195.62/30.97 | | | | | | | | | | | | | | | | | | | | | | (all_57_16 = e3) & ~ (all_57_18 = e2) & ~
% 195.62/30.97 | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_22 = e0) & op(e3,
% 195.62/30.97 | | | | | | | | | | | | | | | | | | | | | | e3) = e1 & op(e3, e1) = all_57_5 & op(e1,
% 195.62/30.97 | | | | | | | | | | | | | | | | | | | | | | all_57_17) = all_57_16 & op(e1, all_57_19) =
% 195.62/30.97 | | | | | | | | | | | | | | | | | | | | | | all_57_18 & op(e1, all_57_21) = all_57_20 &
% 195.62/30.97 | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_23) = all_57_22 & op(e1, e3) =
% 195.62/30.97 | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e1, e2) = all_57_19 & op(e1, e1)
% 195.62/30.97 | | | | | | | | | | | | | | | | | | | | | | = all_57_21 & op(e1, e0) = all_57_23 &
% 195.62/30.97 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_16) & $i(all_57_17) &
% 195.62/30.97 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_19) & $i(all_57_20) &
% 195.62/30.97 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_22) & $i(all_57_23))
% 195.62/30.97 | | | | | | | | | | | | | | | | | | | | | |
% 195.62/30.97 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (4264), (4274), (function-axioms) are
% 195.62/30.97 | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1833.
% 195.62/30.97 | | | | | | | | | | | | | | | | | | | | | |
% 195.62/30.97 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 195.62/30.97 | | | | | | | | | | | | | | | | | | | | | |
% 195.62/30.97 | | | | | | | | | | | | | | | | | | | | | | (4275) (all_57_1 = e0 & ~ (all_57_7 = e3) & ~
% 195.62/30.97 | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 195.62/30.97 | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) & op(e3,
% 195.62/30.97 | | | | | | | | | | | | | | | | | | | | | | e3) = e0 & op(e3, e0) = all_57_7 & op(e0,
% 195.62/30.97 | | | | | | | | | | | | | | | | | | | | | | all_57_25) = all_57_24 & op(e0, all_57_27) =
% 195.62/30.97 | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e0, all_57_29) = all_57_28 &
% 195.62/30.97 | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_31) = all_57_30 & op(e0, e3) =
% 195.62/30.97 | | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_27 & op(e0, e1)
% 195.62/30.97 | | | | | | | | | | | | | | | | | | | | | | = all_57_29 & op(e0, e0) = all_57_31 &
% 195.62/30.97 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7) & $i(all_57_24) & $i(all_57_25) &
% 195.62/30.97 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_27) & $i(all_57_28) &
% 195.62/30.97 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29) & $i(all_57_30) & $i(all_57_31)) |
% 195.62/30.97 | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e3 & ~ (all_57_0 = e3) & ~
% 195.62/30.97 | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e2) & ~ (all_57_4 = e1) & ~
% 195.62/30.97 | | | | | | | | | | | | | | | | | | | | | | (all_57_6 = e0) & ~ (all_57_9 = e2) & op(e3,
% 195.62/30.97 | | | | | | | | | | | | | | | | | | | | | | all_57_1) = all_57_0 & op(e3, all_57_3) =
% 195.62/30.97 | | | | | | | | | | | | | | | | | | | | | | all_57_2 & op(e3, all_57_5) = all_57_4 & op(e3,
% 195.62/30.97 | | | | | | | | | | | | | | | | | | | | | | all_57_7) = all_57_6 & op(e3, e3) = all_57_1 &
% 195.62/30.97 | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_3 & op(e3, e1) = all_57_5 &
% 195.62/30.97 | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_7 & op(e2, e3) = all_57_9 &
% 195.62/30.97 | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e3 & $i(all_57_0) & $i(all_57_1) &
% 195.62/30.97 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_2) & $i(all_57_3) & $i(all_57_4) &
% 195.62/30.97 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 195.62/30.97 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9))
% 195.62/30.97 | | | | | | | | | | | | | | | | | | | | | |
% 195.62/30.97 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4236), (4264), (4275), (function-axioms) are
% 195.62/30.97 | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1831.
% 195.62/30.97 | | | | | | | | | | | | | | | | | | | | | |
% 195.62/30.97 | | | | | | | | | | | | | | | | | | | | | End of split
% 195.62/30.97 | | | | | | | | | | | | | | | | | | | | |
% 195.62/30.97 | | | | | | | | | | | | | | | | | | | | Case 2:
% 195.62/30.97 | | | | | | | | | | | | | | | | | | | | |
% 195.62/30.97 | | | | | | | | | | | | | | | | | | | | | (4276) (all_57_11 = e1 & ~ (all_57_13 = e2) & ~
% 195.62/30.97 | | | | | | | | | | | | | | | | | | | | | (all_57_16 = e3) & ~ (all_57_18 = e2) & ~
% 195.62/30.97 | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_22 = e0) & op(e2,
% 195.62/30.97 | | | | | | | | | | | | | | | | | | | | | e2) = e1 & op(e2, e1) = all_57_13 & op(e1,
% 195.62/30.97 | | | | | | | | | | | | | | | | | | | | | all_57_17) = all_57_16 & op(e1, all_57_19) =
% 195.62/30.97 | | | | | | | | | | | | | | | | | | | | | all_57_18 & op(e1, all_57_21) = all_57_20 &
% 195.62/30.97 | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_23) = all_57_22 & op(e1, e3) =
% 195.62/30.97 | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e1, e2) = all_57_19 & op(e1, e1)
% 195.62/30.97 | | | | | | | | | | | | | | | | | | | | | = all_57_21 & op(e1, e0) = all_57_23 &
% 195.62/30.97 | | | | | | | | | | | | | | | | | | | | | $i(all_57_13) & $i(all_57_16) & $i(all_57_17) &
% 195.62/30.97 | | | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_19) & $i(all_57_20) &
% 195.62/30.97 | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_22) & $i(all_57_23)) |
% 195.62/30.97 | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e0 & ~ (all_57_15 = e2) & ~
% 195.62/30.97 | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 195.62/30.97 | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) & op(e2,
% 195.62/30.97 | | | | | | | | | | | | | | | | | | | | | e2) = e0 & op(e2, e0) = all_57_15 & op(e0,
% 195.62/30.97 | | | | | | | | | | | | | | | | | | | | | all_57_25) = all_57_24 & op(e0, all_57_27) =
% 195.62/30.97 | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e0, all_57_29) = all_57_28 &
% 195.62/30.97 | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_31) = all_57_30 & op(e0, e3) =
% 195.62/30.97 | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_27 & op(e0, e1)
% 195.62/30.97 | | | | | | | | | | | | | | | | | | | | | = all_57_29 & op(e0, e0) = all_57_31 &
% 195.62/30.97 | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & $i(all_57_24) & $i(all_57_25) &
% 195.62/30.97 | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_27) & $i(all_57_28) &
% 195.62/30.97 | | | | | | | | | | | | | | | | | | | | | $i(all_57_29) & $i(all_57_30) & $i(all_57_31)) |
% 195.62/30.97 | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e3 & ~ (all_57_0 = e3) & ~
% 195.62/30.97 | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e2) & ~ (all_57_4 = e1) & ~
% 195.62/30.97 | | | | | | | | | | | | | | | | | | | | | (all_57_6 = e0) & ~ (all_57_17 = e1) & op(e3,
% 195.62/30.97 | | | | | | | | | | | | | | | | | | | | | all_57_1) = all_57_0 & op(e3, all_57_3) =
% 195.62/30.97 | | | | | | | | | | | | | | | | | | | | | all_57_2 & op(e3, all_57_5) = all_57_4 & op(e3,
% 195.62/30.97 | | | | | | | | | | | | | | | | | | | | | all_57_7) = all_57_6 & op(e3, e3) = all_57_1 &
% 195.62/30.97 | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_3 & op(e3, e1) = all_57_5 &
% 195.62/30.97 | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_7 & op(e1, e3) = all_57_17 &
% 195.62/30.97 | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e3 & $i(all_57_0) & $i(all_57_1) &
% 195.62/30.97 | | | | | | | | | | | | | | | | | | | | | $i(all_57_2) & $i(all_57_3) & $i(all_57_4) &
% 195.62/30.97 | | | | | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 195.62/30.97 | | | | | | | | | | | | | | | | | | | | | $i(all_57_17)) | (all_57_21 = e2 & ~ (all_57_8
% 195.62/30.97 | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_10 = e2) & ~ (all_57_12 =
% 195.62/30.98 | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_14 = e0) & ~ (all_57_19 =
% 195.62/30.98 | | | | | | | | | | | | | | | | | | | | | e1) & op(e2, all_57_9) = all_57_8 & op(e2,
% 195.62/30.98 | | | | | | | | | | | | | | | | | | | | | all_57_11) = all_57_10 & op(e2, all_57_13) =
% 195.62/30.98 | | | | | | | | | | | | | | | | | | | | | all_57_12 & op(e2, all_57_15) = all_57_14 &
% 195.62/30.98 | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_9 & op(e2, e2) = all_57_11 &
% 195.62/30.98 | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_57_13 & op(e2, e0) = all_57_15
% 195.62/30.98 | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = all_57_19 & op(e1, e1) = e2 &
% 195.62/30.98 | | | | | | | | | | | | | | | | | | | | | $i(all_57_8) & $i(all_57_9) & $i(all_57_10) &
% 195.62/30.98 | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_12) & $i(all_57_13) &
% 195.62/30.98 | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & $i(all_57_15) & $i(all_57_19)) |
% 195.62/30.98 | | | | | | | | | | | | | | | | | | | | | (op(e0, e0) = all_57_31 & $i(all_57_31) &
% 195.62/30.98 | | | | | | | | | | | | | | | | | | | | | ((all_57_21 = e0 & ~ (all_57_23 = e1) & ~
% 195.62/30.98 | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 195.62/30.98 | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) &
% 195.62/30.98 | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = all_57_23 &
% 195.62/30.98 | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_25) = all_57_24 & op(e0,
% 195.62/30.98 | | | | | | | | | | | | | | | | | | | | | all_57_27) = all_57_26 & op(e0, all_57_29)
% 195.62/30.98 | | | | | | | | | | | | | | | | | | | | | = all_57_28 & op(e0, all_57_31) = all_57_30
% 195.62/30.98 | | | | | | | | | | | | | | | | | | | | | & op(e0, e3) = all_57_25 & op(e0, e2) =
% 195.62/30.98 | | | | | | | | | | | | | | | | | | | | | all_57_27 & op(e0, e1) = all_57_29 &
% 195.62/30.98 | | | | | | | | | | | | | | | | | | | | | $i(all_57_23) & $i(all_57_24) &
% 195.62/30.98 | | | | | | | | | | | | | | | | | | | | | $i(all_57_25) & $i(all_57_26) &
% 195.62/30.98 | | | | | | | | | | | | | | | | | | | | | $i(all_57_27) & $i(all_57_28) &
% 195.62/30.98 | | | | | | | | | | | | | | | | | | | | | $i(all_57_29) & $i(all_57_30)) | (all_57_31
% 195.62/30.98 | | | | | | | | | | | | | | | | | | | | | = e3 & ~ (all_57_0 = e3) & ~ (all_57_2 =
% 195.62/30.98 | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_4 = e1) & ~ (all_57_6 =
% 195.62/30.98 | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_25 = e0) & op(e3,
% 195.62/30.98 | | | | | | | | | | | | | | | | | | | | | all_57_1) = all_57_0 & op(e3, all_57_3) =
% 195.62/30.98 | | | | | | | | | | | | | | | | | | | | | all_57_2 & op(e3, all_57_5) = all_57_4 &
% 195.62/30.98 | | | | | | | | | | | | | | | | | | | | | op(e3, all_57_7) = all_57_6 & op(e3, e3) =
% 195.62/30.98 | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e2) = all_57_3 & op(e3,
% 195.62/30.98 | | | | | | | | | | | | | | | | | | | | | e1) = all_57_5 & op(e3, e0) = all_57_7 &
% 195.62/30.98 | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_25 & $i(all_57_0) &
% 195.62/30.98 | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_2) & $i(all_57_3) &
% 195.62/30.98 | | | | | | | | | | | | | | | | | | | | | $i(all_57_4) & $i(all_57_5) & $i(all_57_6) &
% 195.62/30.98 | | | | | | | | | | | | | | | | | | | | | $i(all_57_7) & $i(all_57_25)) | (all_57_31 =
% 195.62/30.98 | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_8 = e3) & ~ (all_57_10 =
% 195.62/30.98 | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_12 = e1) & ~ (all_57_14
% 195.62/30.98 | | | | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_27 = e0) & op(e2,
% 195.62/30.98 | | | | | | | | | | | | | | | | | | | | | all_57_9) = all_57_8 & op(e2, all_57_11) =
% 195.62/30.98 | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e2, all_57_13) = all_57_12 &
% 195.62/30.98 | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_15) = all_57_14 & op(e2, e3) =
% 195.62/30.98 | | | | | | | | | | | | | | | | | | | | | all_57_9 & op(e2, e2) = all_57_11 & op(e2,
% 195.62/30.98 | | | | | | | | | | | | | | | | | | | | | e1) = all_57_13 & op(e2, e0) = all_57_15 &
% 195.62/30.98 | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_27 & $i(all_57_8) &
% 195.62/30.98 | | | | | | | | | | | | | | | | | | | | | $i(all_57_9) & $i(all_57_10) & $i(all_57_11)
% 195.62/30.98 | | | | | | | | | | | | | | | | | | | | | & $i(all_57_12) & $i(all_57_13) &
% 195.62/30.98 | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & $i(all_57_15) &
% 195.62/30.98 | | | | | | | | | | | | | | | | | | | | | $i(all_57_27)) | (all_57_31 = e1 & ~
% 195.62/30.98 | | | | | | | | | | | | | | | | | | | | | (all_57_16 = e3) & ~ (all_57_18 = e2) & ~
% 195.62/30.98 | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_22 = e0) & ~
% 195.62/30.98 | | | | | | | | | | | | | | | | | | | | | (all_57_29 = e0) & op(e1, all_57_17) =
% 195.62/30.98 | | | | | | | | | | | | | | | | | | | | | all_57_16 & op(e1, all_57_19) = all_57_18 &
% 195.62/30.98 | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_21) = all_57_20 & op(e1,
% 195.62/30.98 | | | | | | | | | | | | | | | | | | | | | all_57_23) = all_57_22 & op(e1, e3) =
% 195.62/30.98 | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e1, e2) = all_57_19 & op(e1,
% 195.62/30.98 | | | | | | | | | | | | | | | | | | | | | e1) = all_57_21 & op(e1, e0) = all_57_23 &
% 195.62/30.98 | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = all_57_29 & $i(all_57_16) &
% 195.62/30.98 | | | | | | | | | | | | | | | | | | | | | $i(all_57_17) & $i(all_57_18) &
% 195.62/30.98 | | | | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_20) &
% 195.62/30.98 | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_22) &
% 195.62/30.98 | | | | | | | | | | | | | | | | | | | | | $i(all_57_23) & $i(all_57_29))))
% 195.62/30.98 | | | | | | | | | | | | | | | | | | | | |
% 195.62/30.98 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4276) gives:
% 195.62/30.98 | | | | | | | | | | | | | | | | | | | | |
% 195.62/30.98 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 195.62/30.98 | | | | | | | | | | | | | | | | | | | | | |
% 195.62/30.98 | | | | | | | | | | | | | | | | | | | | | | (4277) (all_57_11 = e1 & ~ (all_57_13 = e2) & ~
% 195.62/30.98 | | | | | | | | | | | | | | | | | | | | | | (all_57_16 = e3) & ~ (all_57_18 = e2) & ~
% 195.62/30.98 | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_22 = e0) & op(e2,
% 195.62/30.98 | | | | | | | | | | | | | | | | | | | | | | e2) = e1 & op(e2, e1) = all_57_13 & op(e1,
% 195.62/30.98 | | | | | | | | | | | | | | | | | | | | | | all_57_17) = all_57_16 & op(e1, all_57_19) =
% 195.62/30.98 | | | | | | | | | | | | | | | | | | | | | | all_57_18 & op(e1, all_57_21) = all_57_20 &
% 195.62/30.98 | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_23) = all_57_22 & op(e1, e3) =
% 195.62/30.98 | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e1, e2) = all_57_19 & op(e1, e1)
% 195.62/30.98 | | | | | | | | | | | | | | | | | | | | | | = all_57_21 & op(e1, e0) = all_57_23 &
% 195.62/30.98 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13) & $i(all_57_16) & $i(all_57_17) &
% 195.62/30.98 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_19) & $i(all_57_20) &
% 195.62/30.98 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_22) & $i(all_57_23)) |
% 195.62/30.98 | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e0 & ~ (all_57_15 = e2) & ~
% 195.62/30.98 | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 195.62/30.98 | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) & op(e2,
% 195.62/30.98 | | | | | | | | | | | | | | | | | | | | | | e2) = e0 & op(e2, e0) = all_57_15 & op(e0,
% 195.62/30.98 | | | | | | | | | | | | | | | | | | | | | | all_57_25) = all_57_24 & op(e0, all_57_27) =
% 195.62/30.98 | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e0, all_57_29) = all_57_28 &
% 195.62/30.98 | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_31) = all_57_30 & op(e0, e3) =
% 195.62/30.98 | | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_27 & op(e0, e1)
% 195.62/30.98 | | | | | | | | | | | | | | | | | | | | | | = all_57_29 & op(e0, e0) = all_57_31 &
% 195.62/30.98 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & $i(all_57_24) & $i(all_57_25) &
% 195.62/30.98 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_27) & $i(all_57_28) &
% 195.62/30.98 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29) & $i(all_57_30) & $i(all_57_31))
% 195.62/30.98 | | | | | | | | | | | | | | | | | | | | | |
% 195.62/30.98 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (3900), (4232), (4277), (function-axioms) are
% 195.62/30.98 | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1143.
% 195.62/30.98 | | | | | | | | | | | | | | | | | | | | | |
% 195.62/30.98 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 195.62/30.98 | | | | | | | | | | | | | | | | | | | | | |
% 195.62/30.98 | | | | | | | | | | | | | | | | | | | | | | (4278) (all_57_21 = e3 & ~ (all_57_0 = e3) & ~
% 195.62/30.98 | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e2) & ~ (all_57_4 = e1) & ~
% 195.62/30.98 | | | | | | | | | | | | | | | | | | | | | | (all_57_6 = e0) & ~ (all_57_17 = e1) & op(e3,
% 195.62/30.98 | | | | | | | | | | | | | | | | | | | | | | all_57_1) = all_57_0 & op(e3, all_57_3) =
% 195.62/30.98 | | | | | | | | | | | | | | | | | | | | | | all_57_2 & op(e3, all_57_5) = all_57_4 & op(e3,
% 195.62/30.98 | | | | | | | | | | | | | | | | | | | | | | all_57_7) = all_57_6 & op(e3, e3) = all_57_1 &
% 195.62/30.98 | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_3 & op(e3, e1) = all_57_5 &
% 195.62/30.98 | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_7 & op(e1, e3) = all_57_17 &
% 195.62/30.98 | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e3 & $i(all_57_0) & $i(all_57_1) &
% 195.62/30.98 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_2) & $i(all_57_3) & $i(all_57_4) &
% 195.62/30.98 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 195.62/30.98 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_17)) | (all_57_21 = e2 & ~ (all_57_8
% 195.62/30.98 | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_10 = e2) & ~ (all_57_12 =
% 195.62/30.98 | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_14 = e0) & ~ (all_57_19 =
% 195.62/30.98 | | | | | | | | | | | | | | | | | | | | | | e1) & op(e2, all_57_9) = all_57_8 & op(e2,
% 195.62/30.98 | | | | | | | | | | | | | | | | | | | | | | all_57_11) = all_57_10 & op(e2, all_57_13) =
% 195.62/30.98 | | | | | | | | | | | | | | | | | | | | | | all_57_12 & op(e2, all_57_15) = all_57_14 &
% 195.62/30.98 | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_9 & op(e2, e2) = all_57_11 &
% 195.62/30.98 | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_57_13 & op(e2, e0) = all_57_15
% 195.62/30.98 | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = all_57_19 & op(e1, e1) = e2 &
% 195.62/30.98 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8) & $i(all_57_9) & $i(all_57_10) &
% 195.62/30.98 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_12) & $i(all_57_13) &
% 195.62/30.98 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & $i(all_57_15) & $i(all_57_19)) |
% 195.62/30.98 | | | | | | | | | | | | | | | | | | | | | | (op(e0, e0) = all_57_31 & $i(all_57_31) &
% 195.62/30.98 | | | | | | | | | | | | | | | | | | | | | | ((all_57_21 = e0 & ~ (all_57_23 = e1) & ~
% 195.62/30.98 | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 195.62/30.98 | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) &
% 195.62/30.98 | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = all_57_23 &
% 195.62/30.98 | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_25) = all_57_24 & op(e0,
% 195.62/30.98 | | | | | | | | | | | | | | | | | | | | | | all_57_27) = all_57_26 & op(e0, all_57_29)
% 195.62/30.98 | | | | | | | | | | | | | | | | | | | | | | = all_57_28 & op(e0, all_57_31) = all_57_30
% 195.62/30.98 | | | | | | | | | | | | | | | | | | | | | | & op(e0, e3) = all_57_25 & op(e0, e2) =
% 195.62/30.98 | | | | | | | | | | | | | | | | | | | | | | all_57_27 & op(e0, e1) = all_57_29 &
% 195.62/30.98 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23) & $i(all_57_24) &
% 195.62/30.98 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_25) & $i(all_57_26) &
% 195.62/30.98 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27) & $i(all_57_28) &
% 195.62/30.98 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29) & $i(all_57_30)) | (all_57_31
% 195.62/30.98 | | | | | | | | | | | | | | | | | | | | | | = e3 & ~ (all_57_0 = e3) & ~ (all_57_2 =
% 195.62/30.98 | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_4 = e1) & ~ (all_57_6 =
% 195.62/30.98 | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_25 = e0) & op(e3,
% 195.62/30.98 | | | | | | | | | | | | | | | | | | | | | | all_57_1) = all_57_0 & op(e3, all_57_3) =
% 195.62/30.98 | | | | | | | | | | | | | | | | | | | | | | all_57_2 & op(e3, all_57_5) = all_57_4 &
% 195.62/30.98 | | | | | | | | | | | | | | | | | | | | | | op(e3, all_57_7) = all_57_6 & op(e3, e3) =
% 195.62/30.98 | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e2) = all_57_3 & op(e3,
% 195.62/30.98 | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_5 & op(e3, e0) = all_57_7 &
% 195.62/30.98 | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_25 & $i(all_57_0) &
% 195.62/30.98 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_2) & $i(all_57_3) &
% 195.62/30.98 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4) & $i(all_57_5) & $i(all_57_6) &
% 195.62/30.98 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7) & $i(all_57_25)) | (all_57_31 =
% 195.62/30.98 | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_8 = e3) & ~ (all_57_10 =
% 195.62/30.98 | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_12 = e1) & ~ (all_57_14
% 195.62/30.98 | | | | | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_27 = e0) & op(e2,
% 195.62/30.98 | | | | | | | | | | | | | | | | | | | | | | all_57_9) = all_57_8 & op(e2, all_57_11) =
% 195.62/30.98 | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e2, all_57_13) = all_57_12 &
% 195.62/30.98 | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_15) = all_57_14 & op(e2, e3) =
% 195.62/30.98 | | | | | | | | | | | | | | | | | | | | | | all_57_9 & op(e2, e2) = all_57_11 & op(e2,
% 195.62/30.98 | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_13 & op(e2, e0) = all_57_15 &
% 195.62/30.98 | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_27 & $i(all_57_8) &
% 195.62/30.98 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9) & $i(all_57_10) & $i(all_57_11)
% 195.62/30.98 | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_12) & $i(all_57_13) &
% 195.62/30.98 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & $i(all_57_15) &
% 195.62/30.98 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27)) | (all_57_31 = e1 & ~
% 195.62/30.98 | | | | | | | | | | | | | | | | | | | | | | (all_57_16 = e3) & ~ (all_57_18 = e2) & ~
% 195.62/30.98 | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_22 = e0) & ~
% 195.62/30.98 | | | | | | | | | | | | | | | | | | | | | | (all_57_29 = e0) & op(e1, all_57_17) =
% 195.62/30.98 | | | | | | | | | | | | | | | | | | | | | | all_57_16 & op(e1, all_57_19) = all_57_18 &
% 195.62/30.98 | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_21) = all_57_20 & op(e1,
% 195.62/30.98 | | | | | | | | | | | | | | | | | | | | | | all_57_23) = all_57_22 & op(e1, e3) =
% 195.62/30.98 | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e1, e2) = all_57_19 & op(e1,
% 195.62/30.98 | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_21 & op(e1, e0) = all_57_23 &
% 195.62/30.98 | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = all_57_29 & $i(all_57_16) &
% 195.62/30.98 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_17) & $i(all_57_18) &
% 195.62/30.98 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_20) &
% 195.62/30.98 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_22) &
% 195.62/30.98 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23) & $i(all_57_29))))
% 195.62/30.98 | | | | | | | | | | | | | | | | | | | | | |
% 195.62/30.98 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4278) gives:
% 195.62/30.98 | | | | | | | | | | | | | | | | | | | | | |
% 195.62/30.98 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 195.62/30.98 | | | | | | | | | | | | | | | | | | | | | | |
% 195.62/30.98 | | | | | | | | | | | | | | | | | | | | | | | (4279) all_57_21 = e3 & ~ (all_57_0 = e3) & ~ (all_57_2
% 195.62/30.98 | | | | | | | | | | | | | | | | | | | | | | | = e2) & ~ (all_57_4 = e1) & ~ (all_57_6 = e0)
% 195.62/30.98 | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_17 = e1) & op(e3, all_57_1) =
% 195.62/30.98 | | | | | | | | | | | | | | | | | | | | | | | all_57_0 & op(e3, all_57_3) = all_57_2 & op(e3,
% 195.62/30.98 | | | | | | | | | | | | | | | | | | | | | | | all_57_5) = all_57_4 & op(e3, all_57_7) =
% 195.62/30.98 | | | | | | | | | | | | | | | | | | | | | | | all_57_6 & op(e3, e3) = all_57_1 & op(e3, e2) =
% 195.62/30.98 | | | | | | | | | | | | | | | | | | | | | | | all_57_3 & op(e3, e1) = all_57_5 & op(e3, e0) =
% 195.62/30.98 | | | | | | | | | | | | | | | | | | | | | | | all_57_7 & op(e1, e3) = all_57_17 & op(e1, e1) =
% 195.62/30.98 | | | | | | | | | | | | | | | | | | | | | | | e3 & $i(all_57_0) & $i(all_57_1) & $i(all_57_2) &
% 195.62/30.98 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_3) & $i(all_57_4) & $i(all_57_5) &
% 195.62/30.98 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_6) & $i(all_57_7) & $i(all_57_17)
% 195.62/30.98 | | | | | | | | | | | | | | | | | | | | | | |
% 195.62/30.98 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4279) implies:
% 195.62/30.98 | | | | | | | | | | | | | | | | | | | | | | | (4280) ~ (all_57_6 = e0)
% 195.62/30.98 | | | | | | | | | | | | | | | | | | | | | | | (4281) op(e3, e0) = all_57_7
% 195.62/30.98 | | | | | | | | | | | | | | | | | | | | | | | (4282) op(e3, e3) = all_57_1
% 195.62/30.98 | | | | | | | | | | | | | | | | | | | | | | | (4283) op(e3, all_57_7) = all_57_6
% 195.62/30.98 | | | | | | | | | | | | | | | | | | | | | | |
% 195.62/30.98 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4236), (4264), (4280), (4281), (4282), (4283),
% 195.62/30.98 | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 195.62/30.98 | | | | | | | | | | | | | | | | | | | | | | | #1832.
% 195.62/30.98 | | | | | | | | | | | | | | | | | | | | | | |
% 195.62/30.98 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 195.62/30.98 | | | | | | | | | | | | | | | | | | | | | | |
% 195.62/30.98 | | | | | | | | | | | | | | | | | | | | | | | (4284) (all_57_21 = e2 & ~ (all_57_8 = e3) & ~
% 195.62/30.98 | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e2) & ~ (all_57_12 = e1) & ~
% 195.62/30.98 | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e0) & ~ (all_57_19 = e1) & op(e2,
% 195.62/30.98 | | | | | | | | | | | | | | | | | | | | | | | all_57_9) = all_57_8 & op(e2, all_57_11) =
% 195.62/30.98 | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e2, all_57_13) = all_57_12 &
% 195.62/30.98 | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_15) = all_57_14 & op(e2, e3) =
% 195.62/30.98 | | | | | | | | | | | | | | | | | | | | | | | all_57_9 & op(e2, e2) = all_57_11 & op(e2, e1) =
% 195.62/30.98 | | | | | | | | | | | | | | | | | | | | | | | all_57_13 & op(e2, e0) = all_57_15 & op(e1, e2)
% 195.62/30.98 | | | | | | | | | | | | | | | | | | | | | | | = all_57_19 & op(e1, e1) = e2 & $i(all_57_8) &
% 195.62/30.98 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9) & $i(all_57_10) & $i(all_57_11) &
% 195.62/30.98 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & $i(all_57_13) & $i(all_57_14) &
% 195.62/30.98 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & $i(all_57_19)) | (op(e0, e0) =
% 195.62/30.98 | | | | | | | | | | | | | | | | | | | | | | | all_57_31 & $i(all_57_31) & ((all_57_21 = e0 &
% 195.62/30.98 | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_23 = e1) & ~ (all_57_24 = e3) &
% 195.62/30.98 | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_26 = e2) & ~ (all_57_28 = e1) &
% 195.62/30.98 | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_30 = e0) & op(e1, e1) = e0 &
% 195.62/30.98 | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_23 & op(e0, all_57_25) =
% 195.62/30.98 | | | | | | | | | | | | | | | | | | | | | | | all_57_24 & op(e0, all_57_27) = all_57_26 &
% 195.62/30.98 | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_29) = all_57_28 & op(e0,
% 195.62/30.98 | | | | | | | | | | | | | | | | | | | | | | | all_57_31) = all_57_30 & op(e0, e3) =
% 195.62/30.98 | | | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_27 & op(e0,
% 195.62/30.98 | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_29 & $i(all_57_23) &
% 195.62/30.98 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_24) & $i(all_57_25) &
% 195.62/30.98 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_27) &
% 195.62/30.98 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28) & $i(all_57_29) &
% 195.62/30.98 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_31 = e3 & ~
% 195.62/30.98 | | | | | | | | | | | | | | | | | | | | | | | (all_57_0 = e3) & ~ (all_57_2 = e2) & ~
% 195.62/30.98 | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1) & ~ (all_57_6 = e0) & ~
% 195.62/30.98 | | | | | | | | | | | | | | | | | | | | | | | (all_57_25 = e0) & op(e3, all_57_1) =
% 195.62/30.98 | | | | | | | | | | | | | | | | | | | | | | | all_57_0 & op(e3, all_57_3) = all_57_2 &
% 195.62/30.98 | | | | | | | | | | | | | | | | | | | | | | | op(e3, all_57_5) = all_57_4 & op(e3,
% 195.62/30.98 | | | | | | | | | | | | | | | | | | | | | | | all_57_7) = all_57_6 & op(e3, e3) =
% 195.62/30.98 | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e2) = all_57_3 & op(e3,
% 195.62/30.98 | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_5 & op(e3, e0) = all_57_7 &
% 195.62/30.98 | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_25 & $i(all_57_0) &
% 195.62/30.98 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_2) & $i(all_57_3) &
% 195.62/30.98 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4) & $i(all_57_5) & $i(all_57_6) &
% 195.62/30.98 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7) & $i(all_57_25)) | (all_57_31 =
% 195.62/30.98 | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_8 = e3) & ~ (all_57_10 =
% 195.62/30.98 | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_12 = e1) & ~ (all_57_14
% 195.62/30.98 | | | | | | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_27 = e0) & op(e2,
% 195.62/30.98 | | | | | | | | | | | | | | | | | | | | | | | all_57_9) = all_57_8 & op(e2, all_57_11) =
% 195.62/30.98 | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e2, all_57_13) = all_57_12 &
% 195.62/30.98 | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_15) = all_57_14 & op(e2, e3) =
% 195.62/30.98 | | | | | | | | | | | | | | | | | | | | | | | all_57_9 & op(e2, e2) = all_57_11 & op(e2,
% 195.62/30.98 | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_13 & op(e2, e0) = all_57_15 &
% 195.62/30.98 | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_27 & $i(all_57_8) &
% 195.62/30.98 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9) & $i(all_57_10) & $i(all_57_11)
% 195.62/30.98 | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_12) & $i(all_57_13) &
% 195.62/30.98 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & $i(all_57_15) &
% 195.62/30.98 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27)) | (all_57_31 = e1 & ~
% 195.62/30.98 | | | | | | | | | | | | | | | | | | | | | | | (all_57_16 = e3) & ~ (all_57_18 = e2) & ~
% 195.62/30.98 | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_22 = e0) & ~
% 195.62/30.98 | | | | | | | | | | | | | | | | | | | | | | | (all_57_29 = e0) & op(e1, all_57_17) =
% 195.62/30.98 | | | | | | | | | | | | | | | | | | | | | | | all_57_16 & op(e1, all_57_19) = all_57_18 &
% 195.62/30.98 | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_21) = all_57_20 & op(e1,
% 195.62/30.98 | | | | | | | | | | | | | | | | | | | | | | | all_57_23) = all_57_22 & op(e1, e3) =
% 195.62/30.98 | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e1, e2) = all_57_19 & op(e1,
% 195.62/30.98 | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_21 & op(e1, e0) = all_57_23 &
% 195.62/30.98 | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = all_57_29 & $i(all_57_16) &
% 195.62/30.98 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_17) & $i(all_57_18) &
% 195.62/30.98 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_20) &
% 195.62/30.98 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_22) &
% 195.62/30.98 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23) & $i(all_57_29))))
% 195.62/30.98 | | | | | | | | | | | | | | | | | | | | | | |
% 195.62/30.98 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4284) gives:
% 195.62/30.98 | | | | | | | | | | | | | | | | | | | | | | |
% 195.62/30.98 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 195.62/30.98 | | | | | | | | | | | | | | | | | | | | | | | |
% 195.62/30.98 | | | | | | | | | | | | | | | | | | | | | | | | (4285) all_57_21 = e2 & ~ (all_57_8 = e3) & ~
% 195.62/30.98 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e2) & ~ (all_57_12 = e1) & ~
% 195.62/30.98 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e0) & ~ (all_57_19 = e1) & op(e2,
% 195.62/30.98 | | | | | | | | | | | | | | | | | | | | | | | | all_57_9) = all_57_8 & op(e2, all_57_11) =
% 195.62/30.98 | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e2, all_57_13) = all_57_12 & op(e2,
% 195.62/30.98 | | | | | | | | | | | | | | | | | | | | | | | | all_57_15) = all_57_14 & op(e2, e3) = all_57_9 &
% 195.62/30.98 | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_11 & op(e2, e1) = all_57_13 &
% 195.62/30.98 | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_15 & op(e1, e2) = all_57_19 &
% 195.62/30.98 | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e2 & $i(all_57_8) & $i(all_57_9) &
% 195.62/30.98 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & $i(all_57_11) & $i(all_57_12) &
% 195.62/30.98 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13) & $i(all_57_14) & $i(all_57_15) &
% 195.62/30.98 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19)
% 195.62/30.98 | | | | | | | | | | | | | | | | | | | | | | | |
% 195.62/30.98 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4285) implies:
% 195.62/30.98 | | | | | | | | | | | | | | | | | | | | | | | | (4286) op(e1, e1) = e2
% 195.62/30.98 | | | | | | | | | | | | | | | | | | | | | | | |
% 195.62/30.98 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (4229), (4286), (function-axioms) are
% 195.62/30.98 | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1919.
% 195.62/30.98 | | | | | | | | | | | | | | | | | | | | | | | |
% 195.62/30.98 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 195.62/30.98 | | | | | | | | | | | | | | | | | | | | | | | |
% 195.62/30.98 | | | | | | | | | | | | | | | | | | | | | | | | (4287) op(e0, e0) = all_57_31 & $i(all_57_31) &
% 195.62/30.98 | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_21 = e0 & ~ (all_57_23 = e1) & ~
% 195.62/30.98 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 195.62/30.98 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) &
% 195.62/30.98 | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = all_57_23 &
% 195.62/30.98 | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_25) = all_57_24 & op(e0,
% 195.62/30.98 | | | | | | | | | | | | | | | | | | | | | | | | all_57_27) = all_57_26 & op(e0, all_57_29) =
% 195.62/30.98 | | | | | | | | | | | | | | | | | | | | | | | | all_57_28 & op(e0, all_57_31) = all_57_30 &
% 195.62/30.98 | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_25 & op(e0, e2) =
% 195.62/30.98 | | | | | | | | | | | | | | | | | | | | | | | | all_57_27 & op(e0, e1) = all_57_29 &
% 195.62/30.98 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23) & $i(all_57_24) & $i(all_57_25)
% 195.62/30.98 | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_26) & $i(all_57_27) &
% 195.62/30.98 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28) & $i(all_57_29) & $i(all_57_30))
% 195.62/30.98 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e3 & ~ (all_57_0 = e3) & ~
% 195.62/30.98 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e2) & ~ (all_57_4 = e1) & ~
% 195.62/30.98 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_6 = e0) & ~ (all_57_25 = e0) & op(e3,
% 195.62/30.98 | | | | | | | | | | | | | | | | | | | | | | | | all_57_1) = all_57_0 & op(e3, all_57_3) =
% 195.62/30.98 | | | | | | | | | | | | | | | | | | | | | | | | all_57_2 & op(e3, all_57_5) = all_57_4 &
% 195.62/30.98 | | | | | | | | | | | | | | | | | | | | | | | | op(e3, all_57_7) = all_57_6 & op(e3, e3) =
% 195.62/30.98 | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e2) = all_57_3 & op(e3, e1)
% 195.62/30.98 | | | | | | | | | | | | | | | | | | | | | | | | = all_57_5 & op(e3, e0) = all_57_7 & op(e0,
% 195.62/30.98 | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_25 & $i(all_57_0) &
% 195.62/30.98 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_2) & $i(all_57_3) &
% 195.62/30.98 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4) & $i(all_57_5) & $i(all_57_6) &
% 195.62/30.98 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7) & $i(all_57_25)) | (all_57_31 =
% 195.62/30.98 | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_8 = e3) & ~ (all_57_10 = e2)
% 195.62/30.98 | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_12 = e1) & ~ (all_57_14 = e0) &
% 195.62/30.98 | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_27 = e0) & op(e2, all_57_9) =
% 195.62/30.98 | | | | | | | | | | | | | | | | | | | | | | | | all_57_8 & op(e2, all_57_11) = all_57_10 &
% 195.62/30.98 | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_13) = all_57_12 & op(e2,
% 195.62/30.98 | | | | | | | | | | | | | | | | | | | | | | | | all_57_15) = all_57_14 & op(e2, e3) =
% 195.62/30.98 | | | | | | | | | | | | | | | | | | | | | | | | all_57_9 & op(e2, e2) = all_57_11 & op(e2, e1)
% 195.62/30.98 | | | | | | | | | | | | | | | | | | | | | | | | = all_57_13 & op(e2, e0) = all_57_15 & op(e0,
% 195.62/30.98 | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_27 & $i(all_57_8) &
% 195.62/30.98 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9) & $i(all_57_10) & $i(all_57_11) &
% 195.62/30.98 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & $i(all_57_13) & $i(all_57_14)
% 195.62/30.98 | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_15) & $i(all_57_27)) | (all_57_31
% 195.62/30.98 | | | | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_16 = e3) & ~ (all_57_18 =
% 195.62/30.98 | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_20 = e1) & ~ (all_57_22 =
% 195.62/30.98 | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_29 = e0) & op(e1,
% 195.62/30.98 | | | | | | | | | | | | | | | | | | | | | | | | all_57_17) = all_57_16 & op(e1, all_57_19) =
% 195.62/30.98 | | | | | | | | | | | | | | | | | | | | | | | | all_57_18 & op(e1, all_57_21) = all_57_20 &
% 195.62/30.98 | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_23) = all_57_22 & op(e1, e3) =
% 195.62/30.98 | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e1, e2) = all_57_19 & op(e1,
% 195.62/30.98 | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_21 & op(e1, e0) = all_57_23 &
% 195.62/30.98 | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = all_57_29 & $i(all_57_16) &
% 195.62/30.98 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_17) & $i(all_57_18) & $i(all_57_19)
% 195.62/30.98 | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_20) & $i(all_57_21) &
% 195.62/30.98 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_23) &
% 195.62/30.98 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29)))
% 195.62/30.98 | | | | | | | | | | | | | | | | | | | | | | | |
% 195.62/30.98 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4287) implies:
% 195.62/30.98 | | | | | | | | | | | | | | | | | | | | | | | | (4288) op(e0, e0) = all_57_31
% 195.62/30.98 | | | | | | | | | | | | | | | | | | | | | | | | (4289) (all_57_21 = e0 & ~ (all_57_23 = e1) & ~
% 195.62/30.98 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 195.62/30.98 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) & op(e1,
% 195.62/30.98 | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0 & op(e1, e0) = all_57_23 & op(e0,
% 195.62/30.98 | | | | | | | | | | | | | | | | | | | | | | | | all_57_25) = all_57_24 & op(e0, all_57_27) =
% 195.62/30.98 | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e0, all_57_29) = all_57_28 &
% 195.62/30.98 | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_31) = all_57_30 & op(e0, e3) =
% 195.62/30.98 | | | | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_27 & op(e0, e1)
% 195.62/30.98 | | | | | | | | | | | | | | | | | | | | | | | | = all_57_29 & $i(all_57_23) & $i(all_57_24) &
% 195.62/30.98 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_25) & $i(all_57_26) & $i(all_57_27) &
% 195.62/30.98 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28) & $i(all_57_29) & $i(all_57_30)) |
% 195.62/30.98 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e3 & ~ (all_57_0 = e3) & ~
% 195.62/30.98 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e2) & ~ (all_57_4 = e1) & ~
% 195.62/30.98 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_6 = e0) & ~ (all_57_25 = e0) & op(e3,
% 195.62/30.98 | | | | | | | | | | | | | | | | | | | | | | | | all_57_1) = all_57_0 & op(e3, all_57_3) =
% 195.62/30.98 | | | | | | | | | | | | | | | | | | | | | | | | all_57_2 & op(e3, all_57_5) = all_57_4 & op(e3,
% 195.62/30.98 | | | | | | | | | | | | | | | | | | | | | | | | all_57_7) = all_57_6 & op(e3, e3) = all_57_1 &
% 195.62/30.98 | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_3 & op(e3, e1) = all_57_5 &
% 195.62/30.98 | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_7 & op(e0, e3) = all_57_25 &
% 195.62/30.98 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_0) & $i(all_57_1) & $i(all_57_2) &
% 195.62/30.98 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_3) & $i(all_57_4) & $i(all_57_5) &
% 195.62/30.98 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_6) & $i(all_57_7) & $i(all_57_25)) |
% 195.62/30.98 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e2 & ~ (all_57_8 = e3) & ~
% 195.62/30.98 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e2) & ~ (all_57_12 = e1) & ~
% 195.62/30.98 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e0) & ~ (all_57_27 = e0) & op(e2,
% 195.62/30.98 | | | | | | | | | | | | | | | | | | | | | | | | all_57_9) = all_57_8 & op(e2, all_57_11) =
% 195.62/30.98 | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e2, all_57_13) = all_57_12 &
% 195.62/30.98 | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_15) = all_57_14 & op(e2, e3) =
% 195.62/30.98 | | | | | | | | | | | | | | | | | | | | | | | | all_57_9 & op(e2, e2) = all_57_11 & op(e2, e1) =
% 195.62/30.98 | | | | | | | | | | | | | | | | | | | | | | | | all_57_13 & op(e2, e0) = all_57_15 & op(e0, e2)
% 195.62/30.98 | | | | | | | | | | | | | | | | | | | | | | | | = all_57_27 & $i(all_57_8) & $i(all_57_9) &
% 195.62/30.98 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & $i(all_57_11) & $i(all_57_12) &
% 195.62/30.98 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13) & $i(all_57_14) & $i(all_57_15) &
% 195.62/30.98 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27)) | (all_57_31 = e1 & ~ (all_57_16
% 195.62/30.98 | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_18 = e2) & ~ (all_57_20 =
% 195.62/30.98 | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_22 = e0) & ~ (all_57_29 =
% 195.62/30.98 | | | | | | | | | | | | | | | | | | | | | | | | e0) & op(e1, all_57_17) = all_57_16 & op(e1,
% 195.62/30.98 | | | | | | | | | | | | | | | | | | | | | | | | all_57_19) = all_57_18 & op(e1, all_57_21) =
% 195.62/30.98 | | | | | | | | | | | | | | | | | | | | | | | | all_57_20 & op(e1, all_57_23) = all_57_22 &
% 195.62/30.98 | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_17 & op(e1, e2) = all_57_19
% 195.62/30.98 | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = all_57_21 & op(e1, e0) =
% 195.62/30.98 | | | | | | | | | | | | | | | | | | | | | | | | all_57_23 & op(e0, e1) = all_57_29 &
% 195.62/30.98 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_16) & $i(all_57_17) & $i(all_57_18) &
% 195.62/30.98 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_20) & $i(all_57_21) &
% 195.62/30.98 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_23) & $i(all_57_29))
% 195.62/30.98 | | | | | | | | | | | | | | | | | | | | | | | |
% 195.62/30.98 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e2,
% 195.62/30.98 | | | | | | | | | | | | | | | | | | | | | | | | all_57_31, e0, e0, simplifying with (4221), (4288)
% 195.62/30.98 | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 195.62/30.98 | | | | | | | | | | | | | | | | | | | | | | | | (4290) all_57_31 = e2
% 195.62/30.98 | | | | | | | | | | | | | | | | | | | | | | | |
% 195.62/30.98 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e3, all_44_1,
% 195.62/30.98 | | | | | | | | | | | | | | | | | | | | | | | | e3, e0, simplifying with (4232), (4272) gives:
% 195.62/30.98 | | | | | | | | | | | | | | | | | | | | | | | | (4291) all_44_1 = e3
% 195.62/30.98 | | | | | | | | | | | | | | | | | | | | | | | |
% 195.62/30.98 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_34_1,
% 195.62/30.98 | | | | | | | | | | | | | | | | | | | | | | | | all_44_1, e3, e0, simplifying with (4268), (4272)
% 195.62/30.98 | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 195.62/30.98 | | | | | | | | | | | | | | | | | | | | | | | | (4292) all_44_1 = all_34_1
% 195.62/30.98 | | | | | | | | | | | | | | | | | | | | | | | |
% 195.62/30.98 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4291), (4292) imply:
% 195.62/30.98 | | | | | | | | | | | | | | | | | | | | | | | | (4293) all_34_1 = e3
% 195.62/30.98 | | | | | | | | | | | | | | | | | | | | | | | |
% 195.62/30.98 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4289) gives:
% 195.62/30.98 | | | | | | | | | | | | | | | | | | | | | | | |
% 195.62/30.98 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 195.62/30.98 | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.62/30.98 | | | | | | | | | | | | | | | | | | | | | | | | | (4294) (all_57_21 = e0 & ~ (all_57_23 = e1) & ~
% 195.62/30.98 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 195.62/30.98 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) & op(e1,
% 195.62/30.98 | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0 & op(e1, e0) = all_57_23 & op(e0,
% 195.62/30.98 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25) = all_57_24 & op(e0, all_57_27) =
% 195.62/30.98 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e0, all_57_29) = all_57_28 &
% 195.62/30.98 | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_31) = all_57_30 & op(e0, e3) =
% 195.62/30.98 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_27 & op(e0, e1)
% 195.62/30.98 | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_29 & $i(all_57_23) & $i(all_57_24) &
% 195.62/30.98 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_25) & $i(all_57_26) & $i(all_57_27) &
% 195.62/30.98 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28) & $i(all_57_29) & $i(all_57_30)) |
% 195.62/30.98 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e3 & ~ (all_57_0 = e3) & ~
% 195.62/30.98 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e2) & ~ (all_57_4 = e1) & ~
% 195.62/30.98 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_6 = e0) & ~ (all_57_25 = e0) & op(e3,
% 195.62/30.98 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1) = all_57_0 & op(e3, all_57_3) =
% 195.62/30.98 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_2 & op(e3, all_57_5) = all_57_4 & op(e3,
% 195.62/30.98 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7) = all_57_6 & op(e3, e3) = all_57_1 &
% 195.62/30.98 | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_3 & op(e3, e1) = all_57_5 &
% 195.62/30.98 | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_7 & op(e0, e3) = all_57_25 &
% 195.62/30.98 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_0) & $i(all_57_1) & $i(all_57_2) &
% 195.62/30.98 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_3) & $i(all_57_4) & $i(all_57_5) &
% 195.62/30.98 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_6) & $i(all_57_7) & $i(all_57_25))
% 195.62/30.98 | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.62/30.98 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4232), (4236), (4264), (4294), (function-axioms)
% 195.62/30.98 | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1142.
% 195.62/30.98 | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.62/30.98 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 195.62/30.98 | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.62/30.98 | | | | | | | | | | | | | | | | | | | | | | | | | (4295) (all_57_31 = e2 & ~ (all_57_8 = e3) & ~
% 195.62/30.98 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e2) & ~ (all_57_12 = e1) & ~
% 195.62/30.98 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e0) & ~ (all_57_27 = e0) & op(e2,
% 195.62/30.98 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_9) = all_57_8 & op(e2, all_57_11) =
% 195.62/30.98 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e2, all_57_13) = all_57_12 &
% 195.62/30.98 | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_15) = all_57_14 & op(e2, e3) =
% 195.62/30.98 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_9 & op(e2, e2) = all_57_11 & op(e2, e1) =
% 195.62/30.98 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_13 & op(e2, e0) = all_57_15 & op(e0, e2)
% 195.62/30.98 | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_27 & $i(all_57_8) & $i(all_57_9) &
% 195.62/30.98 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & $i(all_57_11) & $i(all_57_12) &
% 195.62/30.98 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13) & $i(all_57_14) & $i(all_57_15) &
% 195.62/30.98 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27)) | (all_57_31 = e1 & ~ (all_57_16
% 195.62/30.98 | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_18 = e2) & ~ (all_57_20 =
% 195.62/30.98 | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_22 = e0) & ~ (all_57_29 =
% 195.62/30.98 | | | | | | | | | | | | | | | | | | | | | | | | | e0) & op(e1, all_57_17) = all_57_16 & op(e1,
% 195.62/30.98 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_19) = all_57_18 & op(e1, all_57_21) =
% 195.62/30.98 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20 & op(e1, all_57_23) = all_57_22 &
% 195.62/30.98 | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_17 & op(e1, e2) = all_57_19
% 195.62/30.98 | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = all_57_21 & op(e1, e0) =
% 195.62/30.98 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23 & op(e0, e1) = all_57_29 &
% 195.62/30.98 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_16) & $i(all_57_17) & $i(all_57_18) &
% 195.62/30.98 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_20) & $i(all_57_21) &
% 195.62/30.98 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_23) & $i(all_57_29))
% 195.62/30.98 | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.62/30.98 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4295) gives:
% 195.62/30.98 | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.62/30.98 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 195.62/30.98 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.62/30.98 | | | | | | | | | | | | | | | | | | | | | | | | | | (4296) all_57_31 = e2 & ~ (all_57_8 = e3) & ~
% 195.62/30.98 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e2) & ~ (all_57_12 = e1) & ~
% 195.62/30.98 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e0) & ~ (all_57_27 = e0) & op(e2,
% 195.62/30.98 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_9) = all_57_8 & op(e2, all_57_11) =
% 195.62/30.98 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e2, all_57_13) = all_57_12 & op(e2,
% 195.62/30.98 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15) = all_57_14 & op(e2, e3) = all_57_9 &
% 195.62/30.98 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_11 & op(e2, e1) = all_57_13 &
% 195.62/30.98 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_15 & op(e0, e2) = all_57_27 &
% 195.62/30.98 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8) & $i(all_57_9) & $i(all_57_10) &
% 195.62/30.98 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_12) & $i(all_57_13) &
% 195.62/30.98 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & $i(all_57_15) & $i(all_57_27)
% 195.62/30.98 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.62/30.98 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4296) implies:
% 195.62/30.98 | | | | | | | | | | | | | | | | | | | | | | | | | | (4297) ~ (all_57_27 = e0)
% 195.62/30.98 | | | | | | | | | | | | | | | | | | | | | | | | | | (4298) ~ (all_57_14 = e0)
% 195.62/30.98 | | | | | | | | | | | | | | | | | | | | | | | | | | (4299) op(e0, e2) = all_57_27
% 195.62/30.98 | | | | | | | | | | | | | | | | | | | | | | | | | | (4300) op(e2, e0) = all_57_15
% 195.62/30.98 | | | | | | | | | | | | | | | | | | | | | | | | | | (4301) op(e2, all_57_15) = all_57_14
% 195.62/30.98 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.62/30.98 | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_7,
% 195.62/30.98 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27, e2, e0, simplifying with (158), (4299)
% 195.62/30.98 | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 195.62/30.98 | | | | | | | | | | | | | | | | | | | | | | | | | | (4302) all_57_27 = all_52_7
% 195.62/30.98 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.62/30.98 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4297), (4302) imply:
% 195.62/30.98 | | | | | | | | | | | | | | | | | | | | | | | | | | (4303) ~ (all_52_7 = e0)
% 195.62/30.98 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.62/30.98 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (206) gives:
% 195.62/30.98 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.62/30.98 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 195.62/30.98 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.62/30.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | (4304) all_56_15 = e0 & op(e0, e0) = e0
% 195.62/30.98 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.62/30.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4304) implies:
% 195.62/30.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | (4305) op(e0, e0) = e0
% 195.62/30.98 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.62/30.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (4221), (4305), (function-axioms) are
% 195.62/30.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1869.
% 195.62/30.98 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.62/30.98 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 195.62/30.98 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.62/30.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | (4306) ((all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 =
% 195.62/30.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_56_11 = e0 &
% 195.62/30.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e0)) & ((all_56_12 = e0 & op(e0,
% 195.62/30.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e0) | (all_56_13 = e0 & op(e0, e2) =
% 195.62/30.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) | (all_56_14 = e0 & op(e0, e1) = e0))
% 195.62/30.98 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.62/30.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4306) implies:
% 195.62/30.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | (4307) (all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 =
% 195.62/30.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_56_11 = e0 & op(e1,
% 195.62/30.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e0)
% 195.62/30.98 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.62/30.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (191) gives:
% 195.62/30.98 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.62/30.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 195.62/30.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.62/30.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4308) all_54_13 = e3
% 195.62/30.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.62/30.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (248), (4308) imply:
% 195.62/30.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4309) all_52_7 = e3
% 195.62/30.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.62/30.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4240), (4309) imply:
% 195.62/30.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4310) $false
% 195.62/30.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.62/30.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (4310) is inconsistent.
% 195.62/30.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.62/30.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 195.62/30.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.62/30.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4311) all_54_13 = e2 | all_54_13 = e1 | all_54_13 = e0
% 195.62/30.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.62/30.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4311) gives:
% 195.62/30.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.62/30.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 195.62/30.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.62/30.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4312) all_54_13 = e2
% 195.62/30.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.62/30.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (248), (4312) imply:
% 195.62/30.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4313) all_52_7 = e2
% 195.62/30.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.62/30.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4217), (4313) imply:
% 195.62/30.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4314) $false
% 195.62/30.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.62/30.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (4314) is inconsistent.
% 195.62/30.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.62/30.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 195.62/30.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.62/30.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4315) all_54_13 = e1 | all_54_13 = e0
% 195.62/30.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.62/30.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4315) gives:
% 195.62/30.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.62/30.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 195.62/30.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.62/30.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4316) all_54_13 = e1
% 195.62/30.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.62/30.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (248), (4316) imply:
% 195.62/30.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4317) all_52_7 = e1
% 195.62/30.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.62/30.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (128), (4317) imply:
% 195.62/30.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4318) ~ (all_52_6 = e1)
% 195.62/30.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.62/30.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3913), (4317) imply:
% 195.62/30.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4319) ~ (all_16_1 = e1)
% 195.62/30.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.62/30.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4319) implies:
% 195.62/30.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4320) ~ (all_16_1 = e1)
% 195.62/30.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.62/30.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (203) gives:
% 195.62/30.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.62/30.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 195.62/30.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.62/30.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4321) all_54_1 = e3
% 195.62/30.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.62/30.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3909), (4321) imply:
% 195.62/30.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4322) all_16_1 = e3
% 195.62/30.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.62/30.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3919), (4322) imply:
% 195.62/30.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4323) $false
% 195.62/30.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.62/30.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (4323) is inconsistent.
% 195.62/30.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.62/30.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 195.62/30.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.62/30.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4324) all_54_1 = e2 | all_54_1 = e1 | all_54_1 = e0
% 195.62/30.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.62/30.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4324) gives:
% 195.62/30.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.62/30.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 195.62/30.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.62/30.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4325) all_54_1 = e2
% 195.62/30.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.62/30.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3909), (4325) imply:
% 195.62/30.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4326) all_16_1 = e2
% 195.62/30.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.62/30.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3911), (4326) imply:
% 195.62/30.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4327) ~ (all_52_6 = e2)
% 195.62/30.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.62/30.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (195) gives:
% 195.62/30.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.62/30.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 195.62/30.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.62/30.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4328) all_54_9 = e3
% 195.62/30.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.62/30.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (258), (3897), (4328) are inconsistent by
% 195.62/30.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1346.
% 195.62/30.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.62/30.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 195.62/30.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.62/30.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4329) ~ (all_54_9 = e3)
% 195.62/30.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4330) all_54_9 = e2 | all_54_9 = e1 | all_54_9 = e0
% 195.62/30.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.62/30.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4330) gives:
% 195.62/30.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.62/30.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 195.62/30.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.62/30.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4331) all_54_9 = e2
% 195.62/30.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.62/30.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (258), (4327), (4331) are inconsistent by
% 195.62/30.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1225.
% 195.62/30.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.62/30.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 195.62/30.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.62/30.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4332) all_54_9 = e1 | all_54_9 = e0
% 195.62/30.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.62/30.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4332) gives:
% 195.62/30.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.62/30.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 195.62/30.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.62/30.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4333) all_54_9 = e1
% 195.62/30.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.62/30.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (258), (4318), (4333) are inconsistent by
% 195.62/30.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1300.
% 195.62/30.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.62/30.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 195.62/30.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.62/30.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4334) all_54_9 = e0
% 195.62/30.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.62/30.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (258), (4334) imply:
% 195.62/30.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4335) all_52_6 = e0
% 195.62/30.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.62/30.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4335) implies:
% 195.62/30.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4336) all_52_6 = e0
% 195.62/30.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.62/30.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (126), (4336) imply:
% 195.62/30.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4337) ~ (all_52_14 = e0)
% 195.62/30.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.62/30.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4337) implies:
% 195.62/30.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4338) ~ (all_52_14 = e0)
% 195.62/30.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.62/30.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3897), (4336) imply:
% 195.62/30.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4339) ~ (e3 = e0)
% 195.62/30.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.62/30.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (160), (193), (250), (4220), (4228), (4235),
% 195.62/30.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4298), (4300), (4301), (4307), (4338),
% 195.62/30.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 195.62/30.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1126.
% 195.62/30.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.62/30.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 195.62/30.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.62/30.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 195.62/30.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.62/30.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 195.62/30.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.62/30.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 195.62/30.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.62/30.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4340) all_54_1 = e1 | all_54_1 = e0
% 195.62/30.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.62/30.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (3909), (4261), (4320), (4340) are inconsistent by
% 195.62/30.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1123.
% 195.62/30.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.62/30.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 195.62/30.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.62/30.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 195.62/30.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.62/30.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 195.62/30.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.62/30.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4341) all_54_13 = e0
% 195.62/30.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.62/30.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (248), (4341) imply:
% 195.62/30.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4342) all_52_7 = e0
% 195.62/30.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.62/30.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4303), (4342) imply:
% 195.62/30.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4343) $false
% 195.62/30.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.62/30.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (4343) is inconsistent.
% 195.62/30.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.62/30.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 195.62/30.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.62/30.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 195.62/30.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.62/30.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 195.62/30.99 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.62/30.99 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 195.62/30.99 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.62/30.99 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 195.62/30.99 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.62/30.99 | | | | | | | | | | | | | | | | | | | | | | | | | | (4344) all_57_31 = e1 & ~ (all_57_16 = e3) & ~
% 195.62/30.99 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_18 = e2) & ~ (all_57_20 = e1) & ~
% 195.62/30.99 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_22 = e0) & ~ (all_57_29 = e0) & op(e1,
% 195.62/30.99 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17) = all_57_16 & op(e1, all_57_19) =
% 195.62/30.99 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_18 & op(e1, all_57_21) = all_57_20 & op(e1,
% 195.62/30.99 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23) = all_57_22 & op(e1, e3) = all_57_17
% 195.62/30.99 | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = all_57_19 & op(e1, e1) = all_57_21
% 195.62/30.99 | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e0) = all_57_23 & op(e0, e1) = all_57_29
% 195.62/30.99 | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_16) & $i(all_57_17) & $i(all_57_18) &
% 195.62/30.99 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_20) & $i(all_57_21) &
% 195.62/30.99 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_23) & $i(all_57_29)
% 195.62/30.99 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.62/30.99 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (4290), (4344) are inconsistent by sub-proof
% 195.62/30.99 | | | | | | | | | | | | | | | | | | | | | | | | | | #1829.
% 195.62/30.99 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.62/30.99 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 195.62/30.99 | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.62/30.99 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 195.62/30.99 | | | | | | | | | | | | | | | | | | | | | | | |
% 195.62/30.99 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 195.62/30.99 | | | | | | | | | | | | | | | | | | | | | | |
% 195.62/30.99 | | | | | | | | | | | | | | | | | | | | | | End of split
% 195.62/30.99 | | | | | | | | | | | | | | | | | | | | | |
% 195.62/30.99 | | | | | | | | | | | | | | | | | | | | | End of split
% 195.62/30.99 | | | | | | | | | | | | | | | | | | | | |
% 195.62/30.99 | | | | | | | | | | | | | | | | | | | | End of split
% 195.62/30.99 | | | | | | | | | | | | | | | | | | | |
% 195.62/30.99 | | | | | | | | | | | | | | | | | | | End of split
% 195.62/30.99 | | | | | | | | | | | | | | | | | | |
% 195.62/30.99 | | | | | | | | | | | | | | | | | | End of split
% 195.62/30.99 | | | | | | | | | | | | | | | | | |
% 195.62/30.99 | | | | | | | | | | | | | | | | | End of split
% 195.62/30.99 | | | | | | | | | | | | | | | | |
% 195.62/30.99 | | | | | | | | | | | | | | | | End of split
% 195.62/30.99 | | | | | | | | | | | | | | | |
% 195.62/30.99 | | | | | | | | | | | | | | | End of split
% 195.62/30.99 | | | | | | | | | | | | | | |
% 195.62/30.99 | | | | | | | | | | | | | | Case 2:
% 195.62/30.99 | | | | | | | | | | | | | | |
% 195.62/30.99 | | | | | | | | | | | | | | | (4345) all_56_10 = e3 & op(e2, e0) = e3
% 195.62/30.99 | | | | | | | | | | | | | | |
% 195.62/30.99 | | | | | | | | | | | | | | | ALPHA: (4345) implies:
% 195.62/30.99 | | | | | | | | | | | | | | | (4346) op(e2, e0) = e3
% 195.62/30.99 | | | | | | | | | | | | | | |
% 195.62/30.99 | | | | | | | | | | | | | | | REF_CLOSE: (164), (3899), (4346), (function-axioms) are
% 195.62/30.99 | | | | | | | | | | | | | | | inconsistent by sub-proof #1659.
% 195.62/30.99 | | | | | | | | | | | | | | |
% 195.62/30.99 | | | | | | | | | | | | | | End of split
% 195.62/30.99 | | | | | | | | | | | | | |
% 195.62/30.99 | | | | | | | | | | | | | Case 2:
% 195.62/30.99 | | | | | | | | | | | | | |
% 195.62/30.99 | | | | | | | | | | | | | | (4347) (all_56_11 = e3 & op(e1, e0) = e3) | (all_56_15 =
% 195.62/30.99 | | | | | | | | | | | | | | e3 & op(e0, e0) = e3)
% 195.62/30.99 | | | | | | | | | | | | | |
% 195.62/30.99 | | | | | | | | | | | | | | REF_CLOSE: (9), (160), (4221), (4228), (4347),
% 195.62/30.99 | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 195.62/30.99 | | | | | | | | | | | | | | #1761.
% 195.62/30.99 | | | | | | | | | | | | | |
% 195.62/30.99 | | | | | | | | | | | | | End of split
% 195.62/30.99 | | | | | | | | | | | | |
% 195.62/30.99 | | | | | | | | | | | | Case 2:
% 195.62/30.99 | | | | | | | | | | | | |
% 195.62/30.99 | | | | | | | | | | | | | (4348) all_56_13 = e3 & op(e0, e2) = e3
% 195.62/30.99 | | | | | | | | | | | | |
% 195.62/30.99 | | | | | | | | | | | | | ALPHA: (4348) implies:
% 195.62/30.99 | | | | | | | | | | | | | (4349) all_56_13 = e3
% 195.62/30.99 | | | | | | | | | | | | |
% 195.62/30.99 | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (225), (226), (227),
% 195.62/30.99 | | | | | | | | | | | | | (3900), (4349), (function-axioms) are inconsistent
% 195.62/30.99 | | | | | | | | | | | | | by sub-proof #1660.
% 195.62/30.99 | | | | | | | | | | | | |
% 195.62/30.99 | | | | | | | | | | | | End of split
% 195.62/30.99 | | | | | | | | | | | |
% 195.62/30.99 | | | | | | | | | | | Case 2:
% 195.62/30.99 | | | | | | | | | | | |
% 195.62/30.99 | | | | | | | | | | | | (4350) (all_56_14 = e3 & op(e0, e1) = e3) | (all_56_15 =
% 195.62/30.99 | | | | | | | | | | | | e3 & op(e0, e0) = e3)
% 195.62/30.99 | | | | | | | | | | | |
% 195.62/30.99 | | | | | | | | | | | | REF_CLOSE: (9), (157), (4221), (4227), (4350),
% 195.62/30.99 | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 195.62/30.99 | | | | | | | | | | | | #1837.
% 195.62/30.99 | | | | | | | | | | | |
% 195.62/30.99 | | | | | | | | | | | End of split
% 195.62/30.99 | | | | | | | | | | |
% 195.62/30.99 | | | | | | | | | | End of split
% 195.62/30.99 | | | | | | | | | |
% 195.62/30.99 | | | | | | | | | End of split
% 195.62/30.99 | | | | | | | | |
% 195.62/30.99 | | | | | | | | Case 2:
% 195.62/30.99 | | | | | | | | |
% 195.62/30.99 | | | | | | | | | (4351) all_28_2 = e1
% 195.62/30.99 | | | | | | | | | (4352) op(e1, e3) = all_28_1 & $i(all_28_1) & ( ~ (all_28_1
% 195.62/30.99 | | | | | | | | | = e2) | ( ~ (all_28_0 = e0) & op(e2, e1) =
% 195.62/30.99 | | | | | | | | | all_28_0 & $i(all_28_0)))
% 195.62/30.99 | | | | | | | | |
% 195.62/30.99 | | | | | | | | | ALPHA: (4352) implies:
% 195.62/30.99 | | | | | | | | | (4353) op(e1, e3) = all_28_1
% 195.62/30.99 | | | | | | | | |
% 195.62/30.99 | | | | | | | | | COMBINE_EQS: (315), (4351) imply:
% 195.62/30.99 | | | | | | | | | (4354) all_14_2 = e1
% 195.62/30.99 | | | | | | | | |
% 195.62/30.99 | | | | | | | | | SIMP: (4354) implies:
% 195.62/30.99 | | | | | | | | | (4355) all_14_2 = e1
% 195.62/30.99 | | | | | | | | |
% 195.62/30.99 | | | | | | | | | COMBINE_EQS: (305), (4355) imply:
% 195.62/30.99 | | | | | | | | | (4356) all_36_2 = e1
% 195.62/30.99 | | | | | | | | |
% 195.62/30.99 | | | | | | | | | REDUCE: (339), (4355) imply:
% 195.62/30.99 | | | | | | | | | (4357) ~ (all_52_2 = e1)
% 195.62/30.99 | | | | | | | | |
% 195.62/30.99 | | | | | | | | | REDUCE: (345), (4355) imply:
% 195.62/30.99 | | | | | | | | | (4358) ~ (all_52_8 = e1)
% 195.62/30.99 | | | | | | | | |
% 195.62/30.99 | | | | | | | | | REDUCE: (347), (4355) imply:
% 195.62/30.99 | | | | | | | | | (4359) ~ (all_52_12 = e1)
% 195.62/30.99 | | | | | | | | |
% 195.62/30.99 | | | | | | | | | REDUCE: (3918), (4355) imply:
% 195.62/30.99 | | | | | | | | | (4360) ~ (all_16_1 = e1)
% 195.62/30.99 | | | | | | | | |
% 195.62/30.99 | | | | | | | | | REDUCE: (377), (4355) imply:
% 195.62/30.99 | | | | | | | | | (4361) ~ (e2 = e1)
% 195.62/30.99 | | | | | | | | |
% 195.62/30.99 | | | | | | | | | REDUCE: (51), (4355) imply:
% 195.62/30.99 | | | | | | | | | (4362) op(e3, e3) = e1
% 195.62/30.99 | | | | | | | | |
% 195.62/30.99 | | | | | | | | | BETA: splitting (85) gives:
% 195.62/30.99 | | | | | | | | |
% 195.62/30.99 | | | | | | | | | Case 1:
% 195.62/30.99 | | | | | | | | | |
% 195.62/30.99 | | | | | | | | | | (4363) ~ (all_36_2 = e1)
% 195.62/30.99 | | | | | | | | | |
% 195.62/30.99 | | | | | | | | | | REDUCE: (4356), (4363) imply:
% 195.62/30.99 | | | | | | | | | | (4364) $false
% 195.62/30.99 | | | | | | | | | |
% 195.62/30.99 | | | | | | | | | | CLOSE: (4364) is inconsistent.
% 195.62/30.99 | | | | | | | | | |
% 195.62/30.99 | | | | | | | | | Case 2:
% 195.62/30.99 | | | | | | | | | |
% 195.62/30.99 | | | | | | | | | | (4365) op(e1, e3) = all_36_1 & $i(all_36_1) & ( ~
% 195.62/30.99 | | | | | | | | | | (all_36_1 = e0) | ( ~ (all_36_0 = e2) & op(e0,
% 195.62/30.99 | | | | | | | | | | e1) = all_36_0 & $i(all_36_0)))
% 195.62/30.99 | | | | | | | | | |
% 195.62/30.99 | | | | | | | | | | ALPHA: (4365) implies:
% 195.62/30.99 | | | | | | | | | | (4366) op(e1, e3) = all_36_1
% 195.62/30.99 | | | | | | | | | | (4367) ~ (all_36_1 = e0) | ( ~ (all_36_0 = e2) & op(e0,
% 195.62/30.99 | | | | | | | | | | e1) = all_36_0 & $i(all_36_0))
% 195.62/30.99 | | | | | | | | | |
% 195.62/30.99 | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_2,
% 195.62/30.99 | | | | | | | | | | all_28_1, e3, e1, simplifying with (163), (4353)
% 195.62/30.99 | | | | | | | | | | gives:
% 195.62/30.99 | | | | | | | | | | (4368) all_52_2 = all_28_1
% 195.62/30.99 | | | | | | | | | |
% 195.62/30.99 | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_2,
% 195.62/30.99 | | | | | | | | | | all_36_1, e3, e1, simplifying with (163), (4366)
% 195.62/30.99 | | | | | | | | | | gives:
% 195.62/30.99 | | | | | | | | | | (4369) all_52_2 = all_36_1
% 195.62/30.99 | | | | | | | | | |
% 195.62/30.99 | | | | | | | | | | COMBINE_EQS: (4368), (4369) imply:
% 195.62/30.99 | | | | | | | | | | (4370) all_36_1 = all_28_1
% 195.62/30.99 | | | | | | | | | |
% 195.62/30.99 | | | | | | | | | | SIMP: (4370) implies:
% 195.62/30.99 | | | | | | | | | | (4371) all_36_1 = all_28_1
% 195.62/30.99 | | | | | | | | | |
% 195.62/30.99 | | | | | | | | | | COMBINE_EQS: (259), (4368) imply:
% 195.62/30.99 | | | | | | | | | | (4372) all_54_8 = all_28_1
% 195.62/30.99 | | | | | | | | | |
% 195.62/30.99 | | | | | | | | | | REDUCE: (149), (4368) imply:
% 195.62/30.99 | | | | | | | | | | (4373) ~ (all_52_1 = all_28_1)
% 195.62/30.99 | | | | | | | | | |
% 195.62/30.99 | | | | | | | | | | REDUCE: (144), (4368) imply:
% 195.62/30.99 | | | | | | | | | | (4374) ~ (all_52_3 = all_28_1)
% 195.62/30.99 | | | | | | | | | |
% 195.62/30.99 | | | | | | | | | | SIMP: (4374) implies:
% 195.62/30.99 | | | | | | | | | | (4375) ~ (all_52_3 = all_28_1)
% 195.62/30.99 | | | | | | | | | |
% 195.62/30.99 | | | | | | | | | | REDUCE: (143), (4368) imply:
% 195.62/30.99 | | | | | | | | | | (4376) ~ (all_52_6 = all_28_1)
% 195.62/30.99 | | | | | | | | | |
% 195.62/30.99 | | | | | | | | | | SIMP: (4376) implies:
% 195.62/30.99 | | | | | | | | | | (4377) ~ (all_52_6 = all_28_1)
% 195.62/30.99 | | | | | | | | | |
% 195.62/30.99 | | | | | | | | | | REDUCE: (141), (4368) imply:
% 195.62/30.99 | | | | | | | | | | (4378) ~ (all_52_14 = all_28_1)
% 195.62/30.99 | | | | | | | | | |
% 195.62/30.99 | | | | | | | | | | SIMP: (4378) implies:
% 195.62/30.99 | | | | | | | | | | (4379) ~ (all_52_14 = all_28_1)
% 195.62/30.99 | | | | | | | | | |
% 195.62/30.99 | | | | | | | | | | REDUCE: (349), (4368) imply:
% 195.62/30.99 | | | | | | | | | | (4380) ~ (all_28_1 = all_4_2)
% 195.62/30.99 | | | | | | | | | |
% 195.62/30.99 | | | | | | | | | | BETA: splitting (76) gives:
% 195.62/30.99 | | | | | | | | | |
% 195.62/30.99 | | | | | | | | | | Case 1:
% 195.62/30.99 | | | | | | | | | | |
% 195.62/30.99 | | | | | | | | | | | (4381) ~ (all_30_2 = e2)
% 195.62/30.99 | | | | | | | | | | |
% 195.62/30.99 | | | | | | | | | | | REDUCE: (309), (4381) imply:
% 195.62/30.99 | | | | | | | | | | | (4382) ~ (all_10_2 = e2)
% 195.62/30.99 | | | | | | | | | | |
% 195.62/30.99 | | | | | | | | | | | BETA: splitting (79) gives:
% 195.62/30.99 | | | | | | | | | | |
% 195.62/30.99 | | | | | | | | | | | Case 1:
% 195.62/30.99 | | | | | | | | | | | |
% 195.62/30.99 | | | | | | | | | | | | (4383) ~ (all_32_2 = e3)
% 195.62/30.99 | | | | | | | | | | | |
% 195.62/30.99 | | | | | | | | | | | | REDUCE: (301), (4383) imply:
% 195.62/30.99 | | | | | | | | | | | | (4384) ~ (all_4_2 = e3)
% 195.62/30.99 | | | | | | | | | | | |
% 195.62/30.99 | | | | | | | | | | | | BETA: splitting (194) gives:
% 195.62/30.99 | | | | | | | | | | | |
% 195.62/30.99 | | | | | | | | | | | | Case 1:
% 195.62/30.99 | | | | | | | | | | | | |
% 195.62/30.99 | | | | | | | | | | | | | (4385) all_54_10 = e3
% 195.62/30.99 | | | | | | | | | | | | |
% 195.62/30.99 | | | | | | | | | | | | | REF_CLOSE: (335), (4384), (4385) are inconsistent by
% 195.62/30.99 | | | | | | | | | | | | | sub-proof #1974.
% 195.62/30.99 | | | | | | | | | | | | |
% 195.62/30.99 | | | | | | | | | | | | Case 2:
% 195.62/30.99 | | | | | | | | | | | | |
% 195.62/30.99 | | | | | | | | | | | | | (4386) ~ (all_54_10 = e3)
% 195.62/30.99 | | | | | | | | | | | | | (4387) all_54_10 = e2 | all_54_10 = e1 | all_54_10 = e0
% 195.62/30.99 | | | | | | | | | | | | |
% 195.62/30.99 | | | | | | | | | | | | | BETA: splitting (4387) gives:
% 195.62/30.99 | | | | | | | | | | | | |
% 195.62/30.99 | | | | | | | | | | | | | Case 1:
% 195.62/30.99 | | | | | | | | | | | | | |
% 195.62/30.99 | | | | | | | | | | | | | | (4388) all_54_10 = e2
% 195.62/30.99 | | | | | | | | | | | | | |
% 195.62/30.99 | | | | | | | | | | | | | | REF_CLOSE: (335), (375), (4388) are inconsistent by sub-proof
% 195.62/30.99 | | | | | | | | | | | | | | #1973.
% 195.62/30.99 | | | | | | | | | | | | | |
% 195.62/30.99 | | | | | | | | | | | | | Case 2:
% 195.62/30.99 | | | | | | | | | | | | | |
% 195.62/30.99 | | | | | | | | | | | | | | (4389) ~ (all_54_10 = e2)
% 195.62/30.99 | | | | | | | | | | | | | | (4390) all_54_10 = e1 | all_54_10 = e0
% 195.62/30.99 | | | | | | | | | | | | | |
% 195.62/30.99 | | | | | | | | | | | | | | BETA: splitting (4390) gives:
% 195.62/30.99 | | | | | | | | | | | | | |
% 195.62/30.99 | | | | | | | | | | | | | | Case 1:
% 195.62/30.99 | | | | | | | | | | | | | | |
% 195.62/30.99 | | | | | | | | | | | | | | | (4391) all_54_10 = e1
% 195.62/30.99 | | | | | | | | | | | | | | |
% 195.62/30.99 | | | | | | | | | | | | | | | COMBINE_EQS: (335), (4391) imply:
% 195.62/30.99 | | | | | | | | | | | | | | | (4392) all_4_2 = e1
% 195.62/30.99 | | | | | | | | | | | | | | |
% 195.62/30.99 | | | | | | | | | | | | | | | SIMP: (4392) implies:
% 195.62/30.99 | | | | | | | | | | | | | | | (4393) all_4_2 = e1
% 195.62/30.99 | | | | | | | | | | | | | | |
% 195.62/30.99 | | | | | | | | | | | | | | | REDUCE: (360), (4393) imply:
% 195.62/30.99 | | | | | | | | | | | | | | | (4394) ~ (all_52_6 = e1)
% 195.62/30.99 | | | | | | | | | | | | | | |
% 195.62/30.99 | | | | | | | | | | | | | | | REDUCE: (363), (4393) imply:
% 195.62/30.99 | | | | | | | | | | | | | | | (4395) ~ (all_52_9 = e1)
% 195.62/30.99 | | | | | | | | | | | | | | |
% 195.62/30.99 | | | | | | | | | | | | | | | REDUCE: (4384), (4393) imply:
% 195.62/30.99 | | | | | | | | | | | | | | | (4396) ~ (e3 = e1)
% 195.62/30.99 | | | | | | | | | | | | | | |
% 195.62/30.99 | | | | | | | | | | | | | | | REDUCE: (36), (4393) imply:
% 195.62/30.99 | | | | | | | | | | | | | | | (4397) op(e1, e1) = e1
% 195.62/30.99 | | | | | | | | | | | | | | |
% 195.62/30.99 | | | | | | | | | | | | | | | BETA: splitting (226) gives:
% 195.62/30.99 | | | | | | | | | | | | | | |
% 195.62/30.99 | | | | | | | | | | | | | | | Case 1:
% 195.62/30.99 | | | | | | | | | | | | | | | |
% 195.62/30.99 | | | | | | | | | | | | | | | | (4398) (all_56_1 = e1 & op(e3, e2) = e1) | (all_56_3 = e1
% 195.62/30.99 | | | | | | | | | | | | | | | | & op(e2, e2) = e1)
% 195.62/30.99 | | | | | | | | | | | | | | | |
% 195.62/30.99 | | | | | | | | | | | | | | | | BETA: splitting (4398) gives:
% 195.62/30.99 | | | | | | | | | | | | | | | |
% 195.62/30.99 | | | | | | | | | | | | | | | | Case 1:
% 195.62/30.99 | | | | | | | | | | | | | | | | |
% 195.62/30.99 | | | | | | | | | | | | | | | | | (4399) all_56_1 = e1 & op(e3, e2) = e1
% 195.62/30.99 | | | | | | | | | | | | | | | | |
% 195.62/30.99 | | | | | | | | | | | | | | | | | ALPHA: (4399) implies:
% 195.62/30.99 | | | | | | | | | | | | | | | | | (4400) op(e3, e2) = e1
% 195.62/30.99 | | | | | | | | | | | | | | | | |
% 195.62/30.99 | | | | | | | | | | | | | | | | | BETA: splitting (239) gives:
% 195.62/30.99 | | | | | | | | | | | | | | | | |
% 195.62/30.99 | | | | | | | | | | | | | | | | | Case 1:
% 195.62/30.99 | | | | | | | | | | | | | | | | | |
% 195.62/30.99 | | | | | | | | | | | | | | | | | | (4401) (all_57_1 = e2 & ~ (all_57_3 = e3) & ~ (all_57_8
% 195.62/30.99 | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_10 = e2) & ~ (all_57_12 =
% 195.62/30.99 | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_14 = e0) & op(e3, e3) = e2 &
% 195.62/30.99 | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_3 & op(e2, all_57_9) =
% 195.62/30.99 | | | | | | | | | | | | | | | | | | all_57_8 & op(e2, all_57_11) = all_57_10 &
% 195.62/30.99 | | | | | | | | | | | | | | | | | | op(e2, all_57_13) = all_57_12 & op(e2,
% 195.62/30.99 | | | | | | | | | | | | | | | | | | all_57_15) = all_57_14 & op(e2, e3) = all_57_9
% 195.62/30.99 | | | | | | | | | | | | | | | | | | & op(e2, e2) = all_57_11 & op(e2, e1) =
% 195.62/30.99 | | | | | | | | | | | | | | | | | | all_57_13 & op(e2, e0) = all_57_15 &
% 195.62/30.99 | | | | | | | | | | | | | | | | | | $i(all_57_3) & $i(all_57_8) & $i(all_57_9) &
% 195.62/30.99 | | | | | | | | | | | | | | | | | | $i(all_57_10) & $i(all_57_11) & $i(all_57_12) &
% 195.62/30.99 | | | | | | | | | | | | | | | | | | $i(all_57_13) & $i(all_57_14) & $i(all_57_15)) |
% 195.62/30.99 | | | | | | | | | | | | | | | | | | (all_57_1 = e1 & ~ (all_57_5 = e3) & ~
% 195.62/30.99 | | | | | | | | | | | | | | | | | | (all_57_16 = e3) & ~ (all_57_18 = e2) & ~
% 195.62/30.99 | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_22 = e0) & op(e3,
% 195.62/30.99 | | | | | | | | | | | | | | | | | | e3) = e1 & op(e3, e1) = all_57_5 & op(e1,
% 195.62/30.99 | | | | | | | | | | | | | | | | | | all_57_17) = all_57_16 & op(e1, all_57_19) =
% 195.62/30.99 | | | | | | | | | | | | | | | | | | all_57_18 & op(e1, all_57_21) = all_57_20 &
% 195.62/30.99 | | | | | | | | | | | | | | | | | | op(e1, all_57_23) = all_57_22 & op(e1, e3) =
% 195.62/30.99 | | | | | | | | | | | | | | | | | | all_57_17 & op(e1, e2) = all_57_19 & op(e1, e1)
% 195.62/30.99 | | | | | | | | | | | | | | | | | | = all_57_21 & op(e1, e0) = all_57_23 &
% 195.62/30.99 | | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_16) & $i(all_57_17) &
% 195.62/30.99 | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_19) & $i(all_57_20) &
% 195.62/30.99 | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_22) & $i(all_57_23)) |
% 195.62/30.99 | | | | | | | | | | | | | | | | | | (all_57_1 = e0 & ~ (all_57_7 = e3) & ~
% 195.62/30.99 | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 195.62/30.99 | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) & op(e3,
% 195.62/30.99 | | | | | | | | | | | | | | | | | | e3) = e0 & op(e3, e0) = all_57_7 & op(e0,
% 195.62/30.99 | | | | | | | | | | | | | | | | | | all_57_25) = all_57_24 & op(e0, all_57_27) =
% 195.62/30.99 | | | | | | | | | | | | | | | | | | all_57_26 & op(e0, all_57_29) = all_57_28 &
% 195.62/30.99 | | | | | | | | | | | | | | | | | | op(e0, all_57_31) = all_57_30 & op(e0, e3) =
% 195.62/30.99 | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_27 & op(e0, e1)
% 195.62/30.99 | | | | | | | | | | | | | | | | | | = all_57_29 & op(e0, e0) = all_57_31 &
% 195.62/30.99 | | | | | | | | | | | | | | | | | | $i(all_57_7) & $i(all_57_24) & $i(all_57_25) &
% 195.62/30.99 | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_27) & $i(all_57_28) &
% 195.62/30.99 | | | | | | | | | | | | | | | | | | $i(all_57_29) & $i(all_57_30) & $i(all_57_31)) |
% 195.62/30.99 | | | | | | | | | | | | | | | | | | (all_57_11 = e3 & ~ (all_57_0 = e3) & ~
% 195.62/30.99 | | | | | | | | | | | | | | | | | | (all_57_2 = e2) & ~ (all_57_4 = e1) & ~
% 195.62/30.99 | | | | | | | | | | | | | | | | | | (all_57_6 = e0) & ~ (all_57_9 = e2) & op(e3,
% 195.62/30.99 | | | | | | | | | | | | | | | | | | all_57_1) = all_57_0 & op(e3, all_57_3) =
% 195.62/30.99 | | | | | | | | | | | | | | | | | | all_57_2 & op(e3, all_57_5) = all_57_4 & op(e3,
% 195.62/30.99 | | | | | | | | | | | | | | | | | | all_57_7) = all_57_6 & op(e3, e3) = all_57_1 &
% 195.62/30.99 | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_3 & op(e3, e1) = all_57_5 &
% 195.62/30.99 | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_7 & op(e2, e3) = all_57_9 &
% 195.62/30.99 | | | | | | | | | | | | | | | | | | op(e2, e2) = e3 & $i(all_57_0) & $i(all_57_1) &
% 195.62/30.99 | | | | | | | | | | | | | | | | | | $i(all_57_2) & $i(all_57_3) & $i(all_57_4) &
% 195.62/30.99 | | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 195.62/30.99 | | | | | | | | | | | | | | | | | | $i(all_57_9))
% 195.62/30.99 | | | | | | | | | | | | | | | | | |
% 195.62/30.99 | | | | | | | | | | | | | | | | | | BETA: splitting (4401) gives:
% 195.62/30.99 | | | | | | | | | | | | | | | | | |
% 195.62/30.99 | | | | | | | | | | | | | | | | | | Case 1:
% 195.62/30.99 | | | | | | | | | | | | | | | | | | |
% 195.62/30.99 | | | | | | | | | | | | | | | | | | | (4402) (all_57_1 = e2 & ~ (all_57_3 = e3) & ~ (all_57_8
% 195.62/30.99 | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_10 = e2) & ~ (all_57_12 =
% 195.62/30.99 | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_14 = e0) & op(e3, e3) = e2 &
% 195.62/30.99 | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_3 & op(e2, all_57_9) =
% 195.62/30.99 | | | | | | | | | | | | | | | | | | | all_57_8 & op(e2, all_57_11) = all_57_10 &
% 195.62/30.99 | | | | | | | | | | | | | | | | | | | op(e2, all_57_13) = all_57_12 & op(e2,
% 195.62/30.99 | | | | | | | | | | | | | | | | | | | all_57_15) = all_57_14 & op(e2, e3) = all_57_9
% 195.62/30.99 | | | | | | | | | | | | | | | | | | | & op(e2, e2) = all_57_11 & op(e2, e1) =
% 195.62/30.99 | | | | | | | | | | | | | | | | | | | all_57_13 & op(e2, e0) = all_57_15 &
% 195.62/30.99 | | | | | | | | | | | | | | | | | | | $i(all_57_3) & $i(all_57_8) & $i(all_57_9) &
% 195.62/30.99 | | | | | | | | | | | | | | | | | | | $i(all_57_10) & $i(all_57_11) & $i(all_57_12) &
% 195.62/30.99 | | | | | | | | | | | | | | | | | | | $i(all_57_13) & $i(all_57_14) & $i(all_57_15)) |
% 195.62/30.99 | | | | | | | | | | | | | | | | | | | (all_57_1 = e1 & ~ (all_57_5 = e3) & ~
% 195.62/30.99 | | | | | | | | | | | | | | | | | | | (all_57_16 = e3) & ~ (all_57_18 = e2) & ~
% 195.62/30.99 | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_22 = e0) & op(e3,
% 195.62/30.99 | | | | | | | | | | | | | | | | | | | e3) = e1 & op(e3, e1) = all_57_5 & op(e1,
% 195.62/30.99 | | | | | | | | | | | | | | | | | | | all_57_17) = all_57_16 & op(e1, all_57_19) =
% 195.62/30.99 | | | | | | | | | | | | | | | | | | | all_57_18 & op(e1, all_57_21) = all_57_20 &
% 195.62/30.99 | | | | | | | | | | | | | | | | | | | op(e1, all_57_23) = all_57_22 & op(e1, e3) =
% 195.62/30.99 | | | | | | | | | | | | | | | | | | | all_57_17 & op(e1, e2) = all_57_19 & op(e1, e1)
% 195.62/30.99 | | | | | | | | | | | | | | | | | | | = all_57_21 & op(e1, e0) = all_57_23 &
% 195.62/30.99 | | | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_16) & $i(all_57_17) &
% 195.62/30.99 | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_19) & $i(all_57_20) &
% 195.62/30.99 | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_22) & $i(all_57_23))
% 195.62/30.99 | | | | | | | | | | | | | | | | | | |
% 195.62/30.99 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (4362), (4397), (4402), (function-axioms) are
% 195.62/30.99 | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1295.
% 195.62/30.99 | | | | | | | | | | | | | | | | | | |
% 195.62/30.99 | | | | | | | | | | | | | | | | | | Case 2:
% 195.62/30.99 | | | | | | | | | | | | | | | | | | |
% 195.62/30.99 | | | | | | | | | | | | | | | | | | | (4403) (all_57_1 = e0 & ~ (all_57_7 = e3) & ~
% 195.62/30.99 | | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 195.62/30.99 | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) & op(e3,
% 195.62/30.99 | | | | | | | | | | | | | | | | | | | e3) = e0 & op(e3, e0) = all_57_7 & op(e0,
% 195.62/30.99 | | | | | | | | | | | | | | | | | | | all_57_25) = all_57_24 & op(e0, all_57_27) =
% 195.62/30.99 | | | | | | | | | | | | | | | | | | | all_57_26 & op(e0, all_57_29) = all_57_28 &
% 195.62/30.99 | | | | | | | | | | | | | | | | | | | op(e0, all_57_31) = all_57_30 & op(e0, e3) =
% 195.62/30.99 | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_27 & op(e0, e1)
% 195.62/30.99 | | | | | | | | | | | | | | | | | | | = all_57_29 & op(e0, e0) = all_57_31 &
% 195.62/30.99 | | | | | | | | | | | | | | | | | | | $i(all_57_7) & $i(all_57_24) & $i(all_57_25) &
% 195.62/30.99 | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_27) & $i(all_57_28) &
% 195.62/30.99 | | | | | | | | | | | | | | | | | | | $i(all_57_29) & $i(all_57_30) & $i(all_57_31)) |
% 195.62/30.99 | | | | | | | | | | | | | | | | | | | (all_57_11 = e3 & ~ (all_57_0 = e3) & ~
% 195.62/30.99 | | | | | | | | | | | | | | | | | | | (all_57_2 = e2) & ~ (all_57_4 = e1) & ~
% 195.62/30.99 | | | | | | | | | | | | | | | | | | | (all_57_6 = e0) & ~ (all_57_9 = e2) & op(e3,
% 195.62/30.99 | | | | | | | | | | | | | | | | | | | all_57_1) = all_57_0 & op(e3, all_57_3) =
% 195.62/30.99 | | | | | | | | | | | | | | | | | | | all_57_2 & op(e3, all_57_5) = all_57_4 & op(e3,
% 195.62/30.99 | | | | | | | | | | | | | | | | | | | all_57_7) = all_57_6 & op(e3, e3) = all_57_1 &
% 195.62/30.99 | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_3 & op(e3, e1) = all_57_5 &
% 195.62/30.99 | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_7 & op(e2, e3) = all_57_9 &
% 195.62/30.99 | | | | | | | | | | | | | | | | | | | op(e2, e2) = e3 & $i(all_57_0) & $i(all_57_1) &
% 195.62/30.99 | | | | | | | | | | | | | | | | | | | $i(all_57_2) & $i(all_57_3) & $i(all_57_4) &
% 195.62/30.99 | | | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 195.62/30.99 | | | | | | | | | | | | | | | | | | | $i(all_57_9))
% 195.62/30.99 | | | | | | | | | | | | | | | | | | |
% 195.62/30.99 | | | | | | | | | | | | | | | | | | | BETA: splitting (4403) gives:
% 195.62/30.99 | | | | | | | | | | | | | | | | | | |
% 195.62/30.99 | | | | | | | | | | | | | | | | | | | Case 1:
% 195.62/30.99 | | | | | | | | | | | | | | | | | | | |
% 195.62/30.99 | | | | | | | | | | | | | | | | | | | | (4404) all_57_1 = e0 & ~ (all_57_7 = e3) & ~ (all_57_24
% 195.62/30.99 | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_26 = e2) & ~ (all_57_28 =
% 195.62/30.99 | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_30 = e0) & op(e3, e3) = e0 &
% 195.62/30.99 | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_7 & op(e0, all_57_25) =
% 195.62/30.99 | | | | | | | | | | | | | | | | | | | | all_57_24 & op(e0, all_57_27) = all_57_26 & op(e0,
% 195.62/30.99 | | | | | | | | | | | | | | | | | | | | all_57_29) = all_57_28 & op(e0, all_57_31) =
% 195.62/30.99 | | | | | | | | | | | | | | | | | | | | all_57_30 & op(e0, e3) = all_57_25 & op(e0, e2) =
% 195.62/30.99 | | | | | | | | | | | | | | | | | | | | all_57_27 & op(e0, e1) = all_57_29 & op(e0, e0) =
% 195.62/30.99 | | | | | | | | | | | | | | | | | | | | all_57_31 & $i(all_57_7) & $i(all_57_24) &
% 195.62/30.99 | | | | | | | | | | | | | | | | | | | | $i(all_57_25) & $i(all_57_26) & $i(all_57_27) &
% 195.62/30.99 | | | | | | | | | | | | | | | | | | | | $i(all_57_28) & $i(all_57_29) & $i(all_57_30) &
% 195.62/30.99 | | | | | | | | | | | | | | | | | | | | $i(all_57_31)
% 195.62/30.99 | | | | | | | | | | | | | | | | | | | |
% 195.62/30.99 | | | | | | | | | | | | | | | | | | | | ALPHA: (4404) implies:
% 195.62/30.99 | | | | | | | | | | | | | | | | | | | | (4405) op(e3, e3) = e0
% 195.62/30.99 | | | | | | | | | | | | | | | | | | | |
% 195.62/30.99 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (4362), (4405), (function-axioms) are
% 195.62/30.99 | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1834.
% 195.62/30.99 | | | | | | | | | | | | | | | | | | | |
% 195.62/30.99 | | | | | | | | | | | | | | | | | | | Case 2:
% 195.62/30.99 | | | | | | | | | | | | | | | | | | | |
% 195.62/30.99 | | | | | | | | | | | | | | | | | | | | (4406) all_57_11 = e3 & ~ (all_57_0 = e3) & ~ (all_57_2
% 195.62/30.99 | | | | | | | | | | | | | | | | | | | | = e2) & ~ (all_57_4 = e1) & ~ (all_57_6 = e0)
% 195.62/30.99 | | | | | | | | | | | | | | | | | | | | & ~ (all_57_9 = e2) & op(e3, all_57_1) = all_57_0
% 195.62/30.99 | | | | | | | | | | | | | | | | | | | | & op(e3, all_57_3) = all_57_2 & op(e3, all_57_5) =
% 195.62/30.99 | | | | | | | | | | | | | | | | | | | | all_57_4 & op(e3, all_57_7) = all_57_6 & op(e3,
% 195.62/30.99 | | | | | | | | | | | | | | | | | | | | e3) = all_57_1 & op(e3, e2) = all_57_3 & op(e3,
% 195.62/30.99 | | | | | | | | | | | | | | | | | | | | e1) = all_57_5 & op(e3, e0) = all_57_7 & op(e2,
% 195.62/30.99 | | | | | | | | | | | | | | | | | | | | e3) = all_57_9 & op(e2, e2) = e3 & $i(all_57_0)
% 195.62/30.99 | | | | | | | | | | | | | | | | | | | | & $i(all_57_1) & $i(all_57_2) & $i(all_57_3) &
% 195.62/30.99 | | | | | | | | | | | | | | | | | | | | $i(all_57_4) & $i(all_57_5) & $i(all_57_6) &
% 195.62/30.99 | | | | | | | | | | | | | | | | | | | | $i(all_57_7) & $i(all_57_9)
% 195.62/30.99 | | | | | | | | | | | | | | | | | | | |
% 195.62/30.99 | | | | | | | | | | | | | | | | | | | | ALPHA: (4406) implies:
% 195.62/30.99 | | | | | | | | | | | | | | | | | | | | (4407) op(e3, e2) = all_57_3
% 195.62/30.99 | | | | | | | | | | | | | | | | | | | |
% 195.62/30.99 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_16_1,
% 195.62/30.99 | | | | | | | | | | | | | | | | | | | | all_57_3, e2, e3, simplifying with (3892), (4407)
% 195.62/30.99 | | | | | | | | | | | | | | | | | | | | gives:
% 195.62/30.99 | | | | | | | | | | | | | | | | | | | | (4408) all_57_3 = all_16_1
% 195.62/30.99 | | | | | | | | | | | | | | | | | | | |
% 195.62/30.99 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e1, all_57_3,
% 195.62/30.99 | | | | | | | | | | | | | | | | | | | | e2, e3, simplifying with (4400), (4407) gives:
% 195.62/30.99 | | | | | | | | | | | | | | | | | | | | (4409) all_57_3 = e1
% 195.62/30.99 | | | | | | | | | | | | | | | | | | | |
% 195.62/30.99 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4408), (4409) imply:
% 195.62/30.99 | | | | | | | | | | | | | | | | | | | | (4410) all_16_1 = e1
% 195.62/30.99 | | | | | | | | | | | | | | | | | | | |
% 195.62/30.99 | | | | | | | | | | | | | | | | | | | | REDUCE: (4360), (4410) imply:
% 195.62/30.99 | | | | | | | | | | | | | | | | | | | | (4411) $false
% 195.62/30.99 | | | | | | | | | | | | | | | | | | | |
% 195.62/30.99 | | | | | | | | | | | | | | | | | | | | CLOSE: (4411) is inconsistent.
% 195.62/30.99 | | | | | | | | | | | | | | | | | | | |
% 195.62/30.99 | | | | | | | | | | | | | | | | | | | End of split
% 195.62/30.99 | | | | | | | | | | | | | | | | | | |
% 195.62/30.99 | | | | | | | | | | | | | | | | | | End of split
% 195.62/30.99 | | | | | | | | | | | | | | | | | |
% 195.62/30.99 | | | | | | | | | | | | | | | | | Case 2:
% 195.62/30.99 | | | | | | | | | | | | | | | | | |
% 195.62/31.00 | | | | | | | | | | | | | | | | | | (4412) (all_57_11 = e1 & ~ (all_57_13 = e2) & ~
% 195.62/31.00 | | | | | | | | | | | | | | | | | | (all_57_16 = e3) & ~ (all_57_18 = e2) & ~
% 195.62/31.00 | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_22 = e0) & op(e2,
% 195.62/31.00 | | | | | | | | | | | | | | | | | | e2) = e1 & op(e2, e1) = all_57_13 & op(e1,
% 195.62/31.00 | | | | | | | | | | | | | | | | | | all_57_17) = all_57_16 & op(e1, all_57_19) =
% 195.62/31.00 | | | | | | | | | | | | | | | | | | all_57_18 & op(e1, all_57_21) = all_57_20 &
% 195.62/31.00 | | | | | | | | | | | | | | | | | | op(e1, all_57_23) = all_57_22 & op(e1, e3) =
% 195.62/31.00 | | | | | | | | | | | | | | | | | | all_57_17 & op(e1, e2) = all_57_19 & op(e1, e1)
% 195.62/31.00 | | | | | | | | | | | | | | | | | | = all_57_21 & op(e1, e0) = all_57_23 &
% 195.62/31.00 | | | | | | | | | | | | | | | | | | $i(all_57_13) & $i(all_57_16) & $i(all_57_17) &
% 195.62/31.00 | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_19) & $i(all_57_20) &
% 195.62/31.00 | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_22) & $i(all_57_23)) |
% 195.62/31.00 | | | | | | | | | | | | | | | | | | (all_57_11 = e0 & ~ (all_57_15 = e2) & ~
% 195.62/31.00 | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 195.62/31.00 | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) & op(e2,
% 195.62/31.00 | | | | | | | | | | | | | | | | | | e2) = e0 & op(e2, e0) = all_57_15 & op(e0,
% 195.62/31.00 | | | | | | | | | | | | | | | | | | all_57_25) = all_57_24 & op(e0, all_57_27) =
% 195.62/31.00 | | | | | | | | | | | | | | | | | | all_57_26 & op(e0, all_57_29) = all_57_28 &
% 195.62/31.00 | | | | | | | | | | | | | | | | | | op(e0, all_57_31) = all_57_30 & op(e0, e3) =
% 195.62/31.00 | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_27 & op(e0, e1)
% 195.62/31.00 | | | | | | | | | | | | | | | | | | = all_57_29 & op(e0, e0) = all_57_31 &
% 195.62/31.00 | | | | | | | | | | | | | | | | | | $i(all_57_15) & $i(all_57_24) & $i(all_57_25) &
% 195.62/31.00 | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_27) & $i(all_57_28) &
% 195.62/31.00 | | | | | | | | | | | | | | | | | | $i(all_57_29) & $i(all_57_30) & $i(all_57_31)) |
% 195.62/31.00 | | | | | | | | | | | | | | | | | | (all_57_21 = e3 & ~ (all_57_0 = e3) & ~
% 195.62/31.00 | | | | | | | | | | | | | | | | | | (all_57_2 = e2) & ~ (all_57_4 = e1) & ~
% 195.62/31.00 | | | | | | | | | | | | | | | | | | (all_57_6 = e0) & ~ (all_57_17 = e1) & op(e3,
% 195.62/31.00 | | | | | | | | | | | | | | | | | | all_57_1) = all_57_0 & op(e3, all_57_3) =
% 195.62/31.00 | | | | | | | | | | | | | | | | | | all_57_2 & op(e3, all_57_5) = all_57_4 & op(e3,
% 195.62/31.00 | | | | | | | | | | | | | | | | | | all_57_7) = all_57_6 & op(e3, e3) = all_57_1 &
% 195.62/31.00 | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_3 & op(e3, e1) = all_57_5 &
% 195.62/31.00 | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_7 & op(e1, e3) = all_57_17 &
% 195.62/31.00 | | | | | | | | | | | | | | | | | | op(e1, e1) = e3 & $i(all_57_0) & $i(all_57_1) &
% 195.62/31.00 | | | | | | | | | | | | | | | | | | $i(all_57_2) & $i(all_57_3) & $i(all_57_4) &
% 195.62/31.00 | | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 195.62/31.00 | | | | | | | | | | | | | | | | | | $i(all_57_17)) | (all_57_21 = e2 & ~ (all_57_8
% 195.62/31.00 | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_10 = e2) & ~ (all_57_12 =
% 195.62/31.00 | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_14 = e0) & ~ (all_57_19 =
% 195.62/31.00 | | | | | | | | | | | | | | | | | | e1) & op(e2, all_57_9) = all_57_8 & op(e2,
% 195.62/31.00 | | | | | | | | | | | | | | | | | | all_57_11) = all_57_10 & op(e2, all_57_13) =
% 195.62/31.00 | | | | | | | | | | | | | | | | | | all_57_12 & op(e2, all_57_15) = all_57_14 &
% 195.62/31.00 | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_9 & op(e2, e2) = all_57_11 &
% 195.62/31.00 | | | | | | | | | | | | | | | | | | op(e2, e1) = all_57_13 & op(e2, e0) = all_57_15
% 195.62/31.00 | | | | | | | | | | | | | | | | | | & op(e1, e2) = all_57_19 & op(e1, e1) = e2 &
% 195.62/31.00 | | | | | | | | | | | | | | | | | | $i(all_57_8) & $i(all_57_9) & $i(all_57_10) &
% 195.62/31.00 | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_12) & $i(all_57_13) &
% 195.62/31.00 | | | | | | | | | | | | | | | | | | $i(all_57_14) & $i(all_57_15) & $i(all_57_19)) |
% 195.62/31.00 | | | | | | | | | | | | | | | | | | (op(e0, e0) = all_57_31 & $i(all_57_31) &
% 195.62/31.00 | | | | | | | | | | | | | | | | | | ((all_57_21 = e0 & ~ (all_57_23 = e1) & ~
% 195.62/31.00 | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 195.62/31.00 | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) &
% 195.62/31.00 | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = all_57_23 &
% 195.62/31.00 | | | | | | | | | | | | | | | | | | op(e0, all_57_25) = all_57_24 & op(e0,
% 195.62/31.00 | | | | | | | | | | | | | | | | | | all_57_27) = all_57_26 & op(e0, all_57_29)
% 195.62/31.00 | | | | | | | | | | | | | | | | | | = all_57_28 & op(e0, all_57_31) = all_57_30
% 195.62/31.00 | | | | | | | | | | | | | | | | | | & op(e0, e3) = all_57_25 & op(e0, e2) =
% 195.62/31.00 | | | | | | | | | | | | | | | | | | all_57_27 & op(e0, e1) = all_57_29 &
% 195.62/31.00 | | | | | | | | | | | | | | | | | | $i(all_57_23) & $i(all_57_24) &
% 195.62/31.00 | | | | | | | | | | | | | | | | | | $i(all_57_25) & $i(all_57_26) &
% 195.62/31.00 | | | | | | | | | | | | | | | | | | $i(all_57_27) & $i(all_57_28) &
% 195.62/31.00 | | | | | | | | | | | | | | | | | | $i(all_57_29) & $i(all_57_30)) | (all_57_31
% 195.62/31.00 | | | | | | | | | | | | | | | | | | = e3 & ~ (all_57_0 = e3) & ~ (all_57_2 =
% 195.62/31.00 | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_4 = e1) & ~ (all_57_6 =
% 195.62/31.00 | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_25 = e0) & op(e3,
% 195.62/31.00 | | | | | | | | | | | | | | | | | | all_57_1) = all_57_0 & op(e3, all_57_3) =
% 195.62/31.00 | | | | | | | | | | | | | | | | | | all_57_2 & op(e3, all_57_5) = all_57_4 &
% 195.62/31.00 | | | | | | | | | | | | | | | | | | op(e3, all_57_7) = all_57_6 & op(e3, e3) =
% 195.62/31.00 | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e2) = all_57_3 & op(e3,
% 195.62/31.00 | | | | | | | | | | | | | | | | | | e1) = all_57_5 & op(e3, e0) = all_57_7 &
% 195.62/31.00 | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_25 & $i(all_57_0) &
% 195.62/31.00 | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_2) & $i(all_57_3) &
% 195.62/31.00 | | | | | | | | | | | | | | | | | | $i(all_57_4) & $i(all_57_5) & $i(all_57_6) &
% 195.62/31.00 | | | | | | | | | | | | | | | | | | $i(all_57_7) & $i(all_57_25)) | (all_57_31 =
% 195.62/31.00 | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_8 = e3) & ~ (all_57_10 =
% 195.62/31.00 | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_12 = e1) & ~ (all_57_14
% 195.62/31.00 | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_27 = e0) & op(e2,
% 195.62/31.00 | | | | | | | | | | | | | | | | | | all_57_9) = all_57_8 & op(e2, all_57_11) =
% 195.62/31.00 | | | | | | | | | | | | | | | | | | all_57_10 & op(e2, all_57_13) = all_57_12 &
% 195.62/31.00 | | | | | | | | | | | | | | | | | | op(e2, all_57_15) = all_57_14 & op(e2, e3) =
% 195.62/31.00 | | | | | | | | | | | | | | | | | | all_57_9 & op(e2, e2) = all_57_11 & op(e2,
% 195.62/31.00 | | | | | | | | | | | | | | | | | | e1) = all_57_13 & op(e2, e0) = all_57_15 &
% 195.62/31.00 | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_27 & $i(all_57_8) &
% 195.62/31.00 | | | | | | | | | | | | | | | | | | $i(all_57_9) & $i(all_57_10) & $i(all_57_11)
% 195.62/31.00 | | | | | | | | | | | | | | | | | | & $i(all_57_12) & $i(all_57_13) &
% 195.62/31.00 | | | | | | | | | | | | | | | | | | $i(all_57_14) & $i(all_57_15) &
% 195.62/31.00 | | | | | | | | | | | | | | | | | | $i(all_57_27)) | (all_57_31 = e1 & ~
% 195.62/31.00 | | | | | | | | | | | | | | | | | | (all_57_16 = e3) & ~ (all_57_18 = e2) & ~
% 195.62/31.00 | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_22 = e0) & ~
% 195.62/31.00 | | | | | | | | | | | | | | | | | | (all_57_29 = e0) & op(e1, all_57_17) =
% 195.62/31.00 | | | | | | | | | | | | | | | | | | all_57_16 & op(e1, all_57_19) = all_57_18 &
% 195.62/31.00 | | | | | | | | | | | | | | | | | | op(e1, all_57_21) = all_57_20 & op(e1,
% 195.62/31.00 | | | | | | | | | | | | | | | | | | all_57_23) = all_57_22 & op(e1, e3) =
% 195.62/31.00 | | | | | | | | | | | | | | | | | | all_57_17 & op(e1, e2) = all_57_19 & op(e1,
% 195.62/31.00 | | | | | | | | | | | | | | | | | | e1) = all_57_21 & op(e1, e0) = all_57_23 &
% 195.62/31.00 | | | | | | | | | | | | | | | | | | op(e0, e1) = all_57_29 & $i(all_57_16) &
% 195.62/31.00 | | | | | | | | | | | | | | | | | | $i(all_57_17) & $i(all_57_18) &
% 195.62/31.00 | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_20) &
% 195.62/31.00 | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_22) &
% 195.62/31.00 | | | | | | | | | | | | | | | | | | $i(all_57_23) & $i(all_57_29))))
% 195.62/31.00 | | | | | | | | | | | | | | | | | |
% 195.62/31.00 | | | | | | | | | | | | | | | | | | BETA: splitting (4412) gives:
% 195.62/31.00 | | | | | | | | | | | | | | | | | |
% 195.62/31.00 | | | | | | | | | | | | | | | | | | Case 1:
% 195.62/31.00 | | | | | | | | | | | | | | | | | | |
% 195.62/31.00 | | | | | | | | | | | | | | | | | | | (4413) (all_57_11 = e1 & ~ (all_57_13 = e2) & ~
% 195.62/31.00 | | | | | | | | | | | | | | | | | | | (all_57_16 = e3) & ~ (all_57_18 = e2) & ~
% 195.62/31.00 | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_22 = e0) & op(e2,
% 195.62/31.00 | | | | | | | | | | | | | | | | | | | e2) = e1 & op(e2, e1) = all_57_13 & op(e1,
% 195.62/31.00 | | | | | | | | | | | | | | | | | | | all_57_17) = all_57_16 & op(e1, all_57_19) =
% 195.62/31.00 | | | | | | | | | | | | | | | | | | | all_57_18 & op(e1, all_57_21) = all_57_20 &
% 195.62/31.00 | | | | | | | | | | | | | | | | | | | op(e1, all_57_23) = all_57_22 & op(e1, e3) =
% 195.62/31.00 | | | | | | | | | | | | | | | | | | | all_57_17 & op(e1, e2) = all_57_19 & op(e1, e1)
% 195.62/31.00 | | | | | | | | | | | | | | | | | | | = all_57_21 & op(e1, e0) = all_57_23 &
% 195.62/31.00 | | | | | | | | | | | | | | | | | | | $i(all_57_13) & $i(all_57_16) & $i(all_57_17) &
% 195.62/31.00 | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_19) & $i(all_57_20) &
% 195.62/31.00 | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_22) & $i(all_57_23)) |
% 195.62/31.00 | | | | | | | | | | | | | | | | | | | (all_57_11 = e0 & ~ (all_57_15 = e2) & ~
% 195.62/31.00 | | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 195.62/31.00 | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) & op(e2,
% 195.62/31.00 | | | | | | | | | | | | | | | | | | | e2) = e0 & op(e2, e0) = all_57_15 & op(e0,
% 195.62/31.00 | | | | | | | | | | | | | | | | | | | all_57_25) = all_57_24 & op(e0, all_57_27) =
% 195.62/31.00 | | | | | | | | | | | | | | | | | | | all_57_26 & op(e0, all_57_29) = all_57_28 &
% 195.62/31.00 | | | | | | | | | | | | | | | | | | | op(e0, all_57_31) = all_57_30 & op(e0, e3) =
% 195.62/31.00 | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_27 & op(e0, e1)
% 195.62/31.00 | | | | | | | | | | | | | | | | | | | = all_57_29 & op(e0, e0) = all_57_31 &
% 195.62/31.00 | | | | | | | | | | | | | | | | | | | $i(all_57_15) & $i(all_57_24) & $i(all_57_25) &
% 195.62/31.00 | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_27) & $i(all_57_28) &
% 195.62/31.00 | | | | | | | | | | | | | | | | | | | $i(all_57_29) & $i(all_57_30) & $i(all_57_31))
% 195.62/31.00 | | | | | | | | | | | | | | | | | | |
% 195.62/31.00 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8), (3900), (4413), (function-axioms) are
% 195.62/31.00 | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1200.
% 195.62/31.00 | | | | | | | | | | | | | | | | | | |
% 195.62/31.00 | | | | | | | | | | | | | | | | | | Case 2:
% 195.62/31.00 | | | | | | | | | | | | | | | | | | |
% 195.62/31.00 | | | | | | | | | | | | | | | | | | | (4414) (all_57_21 = e3 & ~ (all_57_0 = e3) & ~
% 195.62/31.00 | | | | | | | | | | | | | | | | | | | (all_57_2 = e2) & ~ (all_57_4 = e1) & ~
% 195.62/31.00 | | | | | | | | | | | | | | | | | | | (all_57_6 = e0) & ~ (all_57_17 = e1) & op(e3,
% 195.62/31.00 | | | | | | | | | | | | | | | | | | | all_57_1) = all_57_0 & op(e3, all_57_3) =
% 195.62/31.00 | | | | | | | | | | | | | | | | | | | all_57_2 & op(e3, all_57_5) = all_57_4 & op(e3,
% 195.62/31.00 | | | | | | | | | | | | | | | | | | | all_57_7) = all_57_6 & op(e3, e3) = all_57_1 &
% 195.62/31.00 | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_3 & op(e3, e1) = all_57_5 &
% 195.62/31.00 | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_7 & op(e1, e3) = all_57_17 &
% 195.62/31.00 | | | | | | | | | | | | | | | | | | | op(e1, e1) = e3 & $i(all_57_0) & $i(all_57_1) &
% 195.62/31.00 | | | | | | | | | | | | | | | | | | | $i(all_57_2) & $i(all_57_3) & $i(all_57_4) &
% 195.62/31.00 | | | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 195.62/31.00 | | | | | | | | | | | | | | | | | | | $i(all_57_17)) | (all_57_21 = e2 & ~ (all_57_8
% 195.62/31.00 | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_10 = e2) & ~ (all_57_12 =
% 195.62/31.00 | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_14 = e0) & ~ (all_57_19 =
% 195.62/31.00 | | | | | | | | | | | | | | | | | | | e1) & op(e2, all_57_9) = all_57_8 & op(e2,
% 195.62/31.00 | | | | | | | | | | | | | | | | | | | all_57_11) = all_57_10 & op(e2, all_57_13) =
% 195.62/31.00 | | | | | | | | | | | | | | | | | | | all_57_12 & op(e2, all_57_15) = all_57_14 &
% 195.62/31.00 | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_9 & op(e2, e2) = all_57_11 &
% 195.62/31.00 | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_57_13 & op(e2, e0) = all_57_15
% 195.62/31.00 | | | | | | | | | | | | | | | | | | | & op(e1, e2) = all_57_19 & op(e1, e1) = e2 &
% 195.62/31.00 | | | | | | | | | | | | | | | | | | | $i(all_57_8) & $i(all_57_9) & $i(all_57_10) &
% 195.62/31.00 | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_12) & $i(all_57_13) &
% 195.62/31.00 | | | | | | | | | | | | | | | | | | | $i(all_57_14) & $i(all_57_15) & $i(all_57_19)) |
% 195.62/31.00 | | | | | | | | | | | | | | | | | | | (op(e0, e0) = all_57_31 & $i(all_57_31) &
% 195.62/31.00 | | | | | | | | | | | | | | | | | | | ((all_57_21 = e0 & ~ (all_57_23 = e1) & ~
% 195.62/31.00 | | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 195.62/31.00 | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) &
% 195.62/31.00 | | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = all_57_23 &
% 195.62/31.00 | | | | | | | | | | | | | | | | | | | op(e0, all_57_25) = all_57_24 & op(e0,
% 195.62/31.00 | | | | | | | | | | | | | | | | | | | all_57_27) = all_57_26 & op(e0, all_57_29)
% 195.62/31.00 | | | | | | | | | | | | | | | | | | | = all_57_28 & op(e0, all_57_31) = all_57_30
% 195.62/31.00 | | | | | | | | | | | | | | | | | | | & op(e0, e3) = all_57_25 & op(e0, e2) =
% 195.62/31.00 | | | | | | | | | | | | | | | | | | | all_57_27 & op(e0, e1) = all_57_29 &
% 195.62/31.00 | | | | | | | | | | | | | | | | | | | $i(all_57_23) & $i(all_57_24) &
% 195.62/31.00 | | | | | | | | | | | | | | | | | | | $i(all_57_25) & $i(all_57_26) &
% 195.62/31.00 | | | | | | | | | | | | | | | | | | | $i(all_57_27) & $i(all_57_28) &
% 195.62/31.00 | | | | | | | | | | | | | | | | | | | $i(all_57_29) & $i(all_57_30)) | (all_57_31
% 195.62/31.00 | | | | | | | | | | | | | | | | | | | = e3 & ~ (all_57_0 = e3) & ~ (all_57_2 =
% 195.62/31.00 | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_4 = e1) & ~ (all_57_6 =
% 195.62/31.00 | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_25 = e0) & op(e3,
% 195.62/31.00 | | | | | | | | | | | | | | | | | | | all_57_1) = all_57_0 & op(e3, all_57_3) =
% 195.62/31.00 | | | | | | | | | | | | | | | | | | | all_57_2 & op(e3, all_57_5) = all_57_4 &
% 195.62/31.00 | | | | | | | | | | | | | | | | | | | op(e3, all_57_7) = all_57_6 & op(e3, e3) =
% 195.62/31.00 | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e2) = all_57_3 & op(e3,
% 195.62/31.00 | | | | | | | | | | | | | | | | | | | e1) = all_57_5 & op(e3, e0) = all_57_7 &
% 195.62/31.00 | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_25 & $i(all_57_0) &
% 195.62/31.00 | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_2) & $i(all_57_3) &
% 195.62/31.00 | | | | | | | | | | | | | | | | | | | $i(all_57_4) & $i(all_57_5) & $i(all_57_6) &
% 195.62/31.00 | | | | | | | | | | | | | | | | | | | $i(all_57_7) & $i(all_57_25)) | (all_57_31 =
% 195.62/31.00 | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_8 = e3) & ~ (all_57_10 =
% 195.62/31.00 | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_12 = e1) & ~ (all_57_14
% 195.62/31.00 | | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_27 = e0) & op(e2,
% 195.62/31.00 | | | | | | | | | | | | | | | | | | | all_57_9) = all_57_8 & op(e2, all_57_11) =
% 195.62/31.00 | | | | | | | | | | | | | | | | | | | all_57_10 & op(e2, all_57_13) = all_57_12 &
% 195.62/31.00 | | | | | | | | | | | | | | | | | | | op(e2, all_57_15) = all_57_14 & op(e2, e3) =
% 195.62/31.00 | | | | | | | | | | | | | | | | | | | all_57_9 & op(e2, e2) = all_57_11 & op(e2,
% 195.62/31.00 | | | | | | | | | | | | | | | | | | | e1) = all_57_13 & op(e2, e0) = all_57_15 &
% 195.62/31.00 | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_27 & $i(all_57_8) &
% 195.62/31.00 | | | | | | | | | | | | | | | | | | | $i(all_57_9) & $i(all_57_10) & $i(all_57_11)
% 195.62/31.00 | | | | | | | | | | | | | | | | | | | & $i(all_57_12) & $i(all_57_13) &
% 195.62/31.00 | | | | | | | | | | | | | | | | | | | $i(all_57_14) & $i(all_57_15) &
% 195.62/31.00 | | | | | | | | | | | | | | | | | | | $i(all_57_27)) | (all_57_31 = e1 & ~
% 195.62/31.00 | | | | | | | | | | | | | | | | | | | (all_57_16 = e3) & ~ (all_57_18 = e2) & ~
% 195.62/31.00 | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_22 = e0) & ~
% 195.62/31.00 | | | | | | | | | | | | | | | | | | | (all_57_29 = e0) & op(e1, all_57_17) =
% 195.62/31.00 | | | | | | | | | | | | | | | | | | | all_57_16 & op(e1, all_57_19) = all_57_18 &
% 195.62/31.00 | | | | | | | | | | | | | | | | | | | op(e1, all_57_21) = all_57_20 & op(e1,
% 195.62/31.00 | | | | | | | | | | | | | | | | | | | all_57_23) = all_57_22 & op(e1, e3) =
% 195.62/31.00 | | | | | | | | | | | | | | | | | | | all_57_17 & op(e1, e2) = all_57_19 & op(e1,
% 195.62/31.00 | | | | | | | | | | | | | | | | | | | e1) = all_57_21 & op(e1, e0) = all_57_23 &
% 195.62/31.00 | | | | | | | | | | | | | | | | | | | op(e0, e1) = all_57_29 & $i(all_57_16) &
% 195.62/31.00 | | | | | | | | | | | | | | | | | | | $i(all_57_17) & $i(all_57_18) &
% 195.62/31.00 | | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_20) &
% 195.62/31.00 | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_22) &
% 195.62/31.00 | | | | | | | | | | | | | | | | | | | $i(all_57_23) & $i(all_57_29))))
% 195.62/31.00 | | | | | | | | | | | | | | | | | | |
% 195.62/31.00 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (8), (45), (376), (4382), (4397),
% 195.62/31.00 | | | | | | | | | | | | | | | | | | | (4414), (function-axioms) are inconsistent by
% 195.62/31.00 | | | | | | | | | | | | | | | | | | | sub-proof #1932.
% 195.62/31.00 | | | | | | | | | | | | | | | | | | |
% 195.62/31.00 | | | | | | | | | | | | | | | | | | End of split
% 195.62/31.00 | | | | | | | | | | | | | | | | | |
% 195.62/31.00 | | | | | | | | | | | | | | | | | End of split
% 195.62/31.00 | | | | | | | | | | | | | | | | |
% 195.62/31.00 | | | | | | | | | | | | | | | | Case 2:
% 195.62/31.00 | | | | | | | | | | | | | | | | |
% 195.62/31.00 | | | | | | | | | | | | | | | | | (4415) all_56_3 = e1 & op(e2, e2) = e1
% 195.62/31.00 | | | | | | | | | | | | | | | | |
% 195.62/31.00 | | | | | | | | | | | | | | | | | ALPHA: (4415) implies:
% 195.62/31.00 | | | | | | | | | | | | | | | | | (4416) op(e2, e2) = e1
% 195.62/31.00 | | | | | | | | | | | | | | | | |
% 195.62/31.00 | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (3900), (4416), (function-axioms) are
% 195.62/31.00 | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1684.
% 195.62/31.00 | | | | | | | | | | | | | | | | |
% 195.62/31.00 | | | | | | | | | | | | | | | | End of split
% 195.62/31.00 | | | | | | | | | | | | | | | |
% 195.62/31.00 | | | | | | | | | | | | | | | Case 2:
% 195.62/31.00 | | | | | | | | | | | | | | | |
% 195.62/31.00 | | | | | | | | | | | | | | | | (4417) (all_56_7 = e1 & op(e1, e2) = e1) | (all_56_13 =
% 195.62/31.00 | | | | | | | | | | | | | | | | e1 & op(e0, e2) = e1)
% 195.62/31.00 | | | | | | | | | | | | | | | |
% 195.62/31.00 | | | | | | | | | | | | | | | | BETA: splitting (4417) gives:
% 195.62/31.00 | | | | | | | | | | | | | | | |
% 195.62/31.00 | | | | | | | | | | | | | | | | Case 1:
% 195.62/31.00 | | | | | | | | | | | | | | | | |
% 195.62/31.00 | | | | | | | | | | | | | | | | | (4418) all_56_7 = e1 & op(e1, e2) = e1
% 195.62/31.00 | | | | | | | | | | | | | | | | |
% 195.62/31.00 | | | | | | | | | | | | | | | | | ALPHA: (4418) implies:
% 195.62/31.00 | | | | | | | | | | | | | | | | | (4419) op(e1, e2) = e1
% 195.62/31.00 | | | | | | | | | | | | | | | | |
% 195.62/31.00 | | | | | | | | | | | | | | | | | REF_CLOSE: (162), (4394), (4419), (function-axioms) are
% 195.62/31.00 | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1480.
% 195.62/31.00 | | | | | | | | | | | | | | | | |
% 195.62/31.00 | | | | | | | | | | | | | | | | Case 2:
% 195.62/31.00 | | | | | | | | | | | | | | | | |
% 195.62/31.00 | | | | | | | | | | | | | | | | | (4420) all_56_13 = e1 & op(e0, e2) = e1
% 195.62/31.00 | | | | | | | | | | | | | | | | |
% 195.62/31.00 | | | | | | | | | | | | | | | | | ALPHA: (4420) implies:
% 195.62/31.00 | | | | | | | | | | | | | | | | | (4421) op(e0, e2) = e1
% 195.62/31.00 | | | | | | | | | | | | | | | | |
% 195.62/31.00 | | | | | | | | | | | | | | | | | BETA: splitting (239) gives:
% 195.62/31.00 | | | | | | | | | | | | | | | | |
% 195.62/31.00 | | | | | | | | | | | | | | | | | Case 1:
% 195.62/31.00 | | | | | | | | | | | | | | | | | |
% 195.62/31.00 | | | | | | | | | | | | | | | | | | (4422) (all_57_1 = e2 & ~ (all_57_3 = e3) & ~ (all_57_8
% 195.62/31.00 | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_10 = e2) & ~ (all_57_12 =
% 195.62/31.00 | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_14 = e0) & op(e3, e3) = e2 &
% 195.62/31.00 | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_3 & op(e2, all_57_9) =
% 195.62/31.00 | | | | | | | | | | | | | | | | | | all_57_8 & op(e2, all_57_11) = all_57_10 &
% 195.62/31.00 | | | | | | | | | | | | | | | | | | op(e2, all_57_13) = all_57_12 & op(e2,
% 195.62/31.00 | | | | | | | | | | | | | | | | | | all_57_15) = all_57_14 & op(e2, e3) = all_57_9
% 195.62/31.00 | | | | | | | | | | | | | | | | | | & op(e2, e2) = all_57_11 & op(e2, e1) =
% 195.62/31.00 | | | | | | | | | | | | | | | | | | all_57_13 & op(e2, e0) = all_57_15 &
% 195.62/31.00 | | | | | | | | | | | | | | | | | | $i(all_57_3) & $i(all_57_8) & $i(all_57_9) &
% 195.62/31.00 | | | | | | | | | | | | | | | | | | $i(all_57_10) & $i(all_57_11) & $i(all_57_12) &
% 195.62/31.00 | | | | | | | | | | | | | | | | | | $i(all_57_13) & $i(all_57_14) & $i(all_57_15)) |
% 195.62/31.00 | | | | | | | | | | | | | | | | | | (all_57_1 = e1 & ~ (all_57_5 = e3) & ~
% 195.62/31.00 | | | | | | | | | | | | | | | | | | (all_57_16 = e3) & ~ (all_57_18 = e2) & ~
% 195.62/31.00 | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_22 = e0) & op(e3,
% 195.62/31.00 | | | | | | | | | | | | | | | | | | e3) = e1 & op(e3, e1) = all_57_5 & op(e1,
% 195.62/31.00 | | | | | | | | | | | | | | | | | | all_57_17) = all_57_16 & op(e1, all_57_19) =
% 195.62/31.00 | | | | | | | | | | | | | | | | | | all_57_18 & op(e1, all_57_21) = all_57_20 &
% 195.62/31.00 | | | | | | | | | | | | | | | | | | op(e1, all_57_23) = all_57_22 & op(e1, e3) =
% 195.62/31.00 | | | | | | | | | | | | | | | | | | all_57_17 & op(e1, e2) = all_57_19 & op(e1, e1)
% 195.62/31.00 | | | | | | | | | | | | | | | | | | = all_57_21 & op(e1, e0) = all_57_23 &
% 195.62/31.00 | | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_16) & $i(all_57_17) &
% 195.62/31.00 | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_19) & $i(all_57_20) &
% 195.62/31.00 | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_22) & $i(all_57_23)) |
% 195.62/31.00 | | | | | | | | | | | | | | | | | | (all_57_1 = e0 & ~ (all_57_7 = e3) & ~
% 195.62/31.00 | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 195.62/31.00 | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) & op(e3,
% 195.62/31.00 | | | | | | | | | | | | | | | | | | e3) = e0 & op(e3, e0) = all_57_7 & op(e0,
% 195.62/31.00 | | | | | | | | | | | | | | | | | | all_57_25) = all_57_24 & op(e0, all_57_27) =
% 195.62/31.00 | | | | | | | | | | | | | | | | | | all_57_26 & op(e0, all_57_29) = all_57_28 &
% 195.62/31.00 | | | | | | | | | | | | | | | | | | op(e0, all_57_31) = all_57_30 & op(e0, e3) =
% 195.62/31.00 | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_27 & op(e0, e1)
% 195.62/31.00 | | | | | | | | | | | | | | | | | | = all_57_29 & op(e0, e0) = all_57_31 &
% 195.62/31.00 | | | | | | | | | | | | | | | | | | $i(all_57_7) & $i(all_57_24) & $i(all_57_25) &
% 195.62/31.00 | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_27) & $i(all_57_28) &
% 195.62/31.00 | | | | | | | | | | | | | | | | | | $i(all_57_29) & $i(all_57_30) & $i(all_57_31)) |
% 195.62/31.00 | | | | | | | | | | | | | | | | | | (all_57_11 = e3 & ~ (all_57_0 = e3) & ~
% 195.62/31.00 | | | | | | | | | | | | | | | | | | (all_57_2 = e2) & ~ (all_57_4 = e1) & ~
% 195.62/31.00 | | | | | | | | | | | | | | | | | | (all_57_6 = e0) & ~ (all_57_9 = e2) & op(e3,
% 195.62/31.00 | | | | | | | | | | | | | | | | | | all_57_1) = all_57_0 & op(e3, all_57_3) =
% 195.62/31.00 | | | | | | | | | | | | | | | | | | all_57_2 & op(e3, all_57_5) = all_57_4 & op(e3,
% 195.62/31.00 | | | | | | | | | | | | | | | | | | all_57_7) = all_57_6 & op(e3, e3) = all_57_1 &
% 195.62/31.00 | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_3 & op(e3, e1) = all_57_5 &
% 195.62/31.00 | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_7 & op(e2, e3) = all_57_9 &
% 195.62/31.00 | | | | | | | | | | | | | | | | | | op(e2, e2) = e3 & $i(all_57_0) & $i(all_57_1) &
% 195.62/31.00 | | | | | | | | | | | | | | | | | | $i(all_57_2) & $i(all_57_3) & $i(all_57_4) &
% 195.62/31.00 | | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 195.62/31.00 | | | | | | | | | | | | | | | | | | $i(all_57_9))
% 195.62/31.00 | | | | | | | | | | | | | | | | | |
% 195.62/31.00 | | | | | | | | | | | | | | | | | | BETA: splitting (4422) gives:
% 195.62/31.00 | | | | | | | | | | | | | | | | | |
% 195.62/31.00 | | | | | | | | | | | | | | | | | | Case 1:
% 195.62/31.00 | | | | | | | | | | | | | | | | | | |
% 195.62/31.00 | | | | | | | | | | | | | | | | | | | (4423) (all_57_1 = e2 & ~ (all_57_3 = e3) & ~ (all_57_8
% 195.62/31.00 | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_10 = e2) & ~ (all_57_12 =
% 195.62/31.00 | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_14 = e0) & op(e3, e3) = e2 &
% 195.62/31.00 | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_3 & op(e2, all_57_9) =
% 195.62/31.00 | | | | | | | | | | | | | | | | | | | all_57_8 & op(e2, all_57_11) = all_57_10 &
% 195.62/31.00 | | | | | | | | | | | | | | | | | | | op(e2, all_57_13) = all_57_12 & op(e2,
% 195.62/31.00 | | | | | | | | | | | | | | | | | | | all_57_15) = all_57_14 & op(e2, e3) = all_57_9
% 195.62/31.00 | | | | | | | | | | | | | | | | | | | & op(e2, e2) = all_57_11 & op(e2, e1) =
% 195.62/31.00 | | | | | | | | | | | | | | | | | | | all_57_13 & op(e2, e0) = all_57_15 &
% 195.62/31.00 | | | | | | | | | | | | | | | | | | | $i(all_57_3) & $i(all_57_8) & $i(all_57_9) &
% 195.62/31.00 | | | | | | | | | | | | | | | | | | | $i(all_57_10) & $i(all_57_11) & $i(all_57_12) &
% 195.62/31.00 | | | | | | | | | | | | | | | | | | | $i(all_57_13) & $i(all_57_14) & $i(all_57_15)) |
% 195.62/31.00 | | | | | | | | | | | | | | | | | | | (all_57_1 = e1 & ~ (all_57_5 = e3) & ~
% 195.62/31.00 | | | | | | | | | | | | | | | | | | | (all_57_16 = e3) & ~ (all_57_18 = e2) & ~
% 195.62/31.00 | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_22 = e0) & op(e3,
% 195.62/31.00 | | | | | | | | | | | | | | | | | | | e3) = e1 & op(e3, e1) = all_57_5 & op(e1,
% 195.62/31.00 | | | | | | | | | | | | | | | | | | | all_57_17) = all_57_16 & op(e1, all_57_19) =
% 195.62/31.00 | | | | | | | | | | | | | | | | | | | all_57_18 & op(e1, all_57_21) = all_57_20 &
% 195.62/31.00 | | | | | | | | | | | | | | | | | | | op(e1, all_57_23) = all_57_22 & op(e1, e3) =
% 195.62/31.00 | | | | | | | | | | | | | | | | | | | all_57_17 & op(e1, e2) = all_57_19 & op(e1, e1)
% 195.62/31.00 | | | | | | | | | | | | | | | | | | | = all_57_21 & op(e1, e0) = all_57_23 &
% 195.62/31.00 | | | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_16) & $i(all_57_17) &
% 195.62/31.00 | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_19) & $i(all_57_20) &
% 195.62/31.00 | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_22) & $i(all_57_23))
% 195.62/31.00 | | | | | | | | | | | | | | | | | | |
% 195.62/31.00 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (4362), (4397), (4423), (function-axioms) are
% 195.62/31.00 | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1295.
% 195.62/31.00 | | | | | | | | | | | | | | | | | | |
% 195.62/31.00 | | | | | | | | | | | | | | | | | | Case 2:
% 195.62/31.00 | | | | | | | | | | | | | | | | | | |
% 195.62/31.00 | | | | | | | | | | | | | | | | | | | (4424) (all_57_1 = e0 & ~ (all_57_7 = e3) & ~
% 195.62/31.00 | | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 195.62/31.00 | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) & op(e3,
% 195.62/31.00 | | | | | | | | | | | | | | | | | | | e3) = e0 & op(e3, e0) = all_57_7 & op(e0,
% 195.62/31.00 | | | | | | | | | | | | | | | | | | | all_57_25) = all_57_24 & op(e0, all_57_27) =
% 195.62/31.00 | | | | | | | | | | | | | | | | | | | all_57_26 & op(e0, all_57_29) = all_57_28 &
% 195.62/31.00 | | | | | | | | | | | | | | | | | | | op(e0, all_57_31) = all_57_30 & op(e0, e3) =
% 195.62/31.00 | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_27 & op(e0, e1)
% 195.62/31.00 | | | | | | | | | | | | | | | | | | | = all_57_29 & op(e0, e0) = all_57_31 &
% 195.62/31.00 | | | | | | | | | | | | | | | | | | | $i(all_57_7) & $i(all_57_24) & $i(all_57_25) &
% 195.62/31.00 | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_27) & $i(all_57_28) &
% 195.62/31.00 | | | | | | | | | | | | | | | | | | | $i(all_57_29) & $i(all_57_30) & $i(all_57_31)) |
% 195.62/31.00 | | | | | | | | | | | | | | | | | | | (all_57_11 = e3 & ~ (all_57_0 = e3) & ~
% 195.62/31.00 | | | | | | | | | | | | | | | | | | | (all_57_2 = e2) & ~ (all_57_4 = e1) & ~
% 195.62/31.00 | | | | | | | | | | | | | | | | | | | (all_57_6 = e0) & ~ (all_57_9 = e2) & op(e3,
% 195.62/31.00 | | | | | | | | | | | | | | | | | | | all_57_1) = all_57_0 & op(e3, all_57_3) =
% 195.62/31.00 | | | | | | | | | | | | | | | | | | | all_57_2 & op(e3, all_57_5) = all_57_4 & op(e3,
% 195.62/31.00 | | | | | | | | | | | | | | | | | | | all_57_7) = all_57_6 & op(e3, e3) = all_57_1 &
% 195.62/31.00 | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_3 & op(e3, e1) = all_57_5 &
% 195.62/31.00 | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_7 & op(e2, e3) = all_57_9 &
% 195.62/31.00 | | | | | | | | | | | | | | | | | | | op(e2, e2) = e3 & $i(all_57_0) & $i(all_57_1) &
% 195.62/31.00 | | | | | | | | | | | | | | | | | | | $i(all_57_2) & $i(all_57_3) & $i(all_57_4) &
% 195.62/31.00 | | | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 195.62/31.00 | | | | | | | | | | | | | | | | | | | $i(all_57_9))
% 195.62/31.00 | | | | | | | | | | | | | | | | | | |
% 195.62/31.00 | | | | | | | | | | | | | | | | | | | BETA: splitting (4424) gives:
% 195.62/31.00 | | | | | | | | | | | | | | | | | | |
% 195.62/31.00 | | | | | | | | | | | | | | | | | | | Case 1:
% 195.62/31.00 | | | | | | | | | | | | | | | | | | | |
% 195.62/31.00 | | | | | | | | | | | | | | | | | | | | (4425) all_57_1 = e0 & ~ (all_57_7 = e3) & ~ (all_57_24
% 195.62/31.00 | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_26 = e2) & ~ (all_57_28 =
% 195.62/31.00 | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_30 = e0) & op(e3, e3) = e0 &
% 195.62/31.00 | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_7 & op(e0, all_57_25) =
% 195.62/31.00 | | | | | | | | | | | | | | | | | | | | all_57_24 & op(e0, all_57_27) = all_57_26 & op(e0,
% 195.62/31.00 | | | | | | | | | | | | | | | | | | | | all_57_29) = all_57_28 & op(e0, all_57_31) =
% 195.62/31.00 | | | | | | | | | | | | | | | | | | | | all_57_30 & op(e0, e3) = all_57_25 & op(e0, e2) =
% 195.62/31.00 | | | | | | | | | | | | | | | | | | | | all_57_27 & op(e0, e1) = all_57_29 & op(e0, e0) =
% 195.62/31.00 | | | | | | | | | | | | | | | | | | | | all_57_31 & $i(all_57_7) & $i(all_57_24) &
% 195.62/31.00 | | | | | | | | | | | | | | | | | | | | $i(all_57_25) & $i(all_57_26) & $i(all_57_27) &
% 195.62/31.00 | | | | | | | | | | | | | | | | | | | | $i(all_57_28) & $i(all_57_29) & $i(all_57_30) &
% 195.62/31.00 | | | | | | | | | | | | | | | | | | | | $i(all_57_31)
% 195.62/31.00 | | | | | | | | | | | | | | | | | | | |
% 195.62/31.00 | | | | | | | | | | | | | | | | | | | | ALPHA: (4425) implies:
% 195.62/31.00 | | | | | | | | | | | | | | | | | | | | (4426) op(e3, e3) = e0
% 195.62/31.00 | | | | | | | | | | | | | | | | | | | |
% 195.62/31.00 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (4362), (4426), (function-axioms) are
% 195.62/31.00 | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1834.
% 195.62/31.00 | | | | | | | | | | | | | | | | | | | |
% 195.62/31.00 | | | | | | | | | | | | | | | | | | | Case 2:
% 195.62/31.00 | | | | | | | | | | | | | | | | | | | |
% 195.62/31.00 | | | | | | | | | | | | | | | | | | | | (4427) all_57_11 = e3 & ~ (all_57_0 = e3) & ~ (all_57_2
% 195.62/31.00 | | | | | | | | | | | | | | | | | | | | = e2) & ~ (all_57_4 = e1) & ~ (all_57_6 = e0)
% 195.62/31.00 | | | | | | | | | | | | | | | | | | | | & ~ (all_57_9 = e2) & op(e3, all_57_1) = all_57_0
% 195.62/31.00 | | | | | | | | | | | | | | | | | | | | & op(e3, all_57_3) = all_57_2 & op(e3, all_57_5) =
% 195.62/31.00 | | | | | | | | | | | | | | | | | | | | all_57_4 & op(e3, all_57_7) = all_57_6 & op(e3,
% 195.62/31.00 | | | | | | | | | | | | | | | | | | | | e3) = all_57_1 & op(e3, e2) = all_57_3 & op(e3,
% 195.62/31.00 | | | | | | | | | | | | | | | | | | | | e1) = all_57_5 & op(e3, e0) = all_57_7 & op(e2,
% 195.62/31.00 | | | | | | | | | | | | | | | | | | | | e3) = all_57_9 & op(e2, e2) = e3 & $i(all_57_0)
% 195.62/31.00 | | | | | | | | | | | | | | | | | | | | & $i(all_57_1) & $i(all_57_2) & $i(all_57_3) &
% 195.62/31.00 | | | | | | | | | | | | | | | | | | | | $i(all_57_4) & $i(all_57_5) & $i(all_57_6) &
% 195.62/31.00 | | | | | | | | | | | | | | | | | | | | $i(all_57_7) & $i(all_57_9)
% 195.62/31.00 | | | | | | | | | | | | | | | | | | | |
% 195.62/31.00 | | | | | | | | | | | | | | | | | | | | ALPHA: (4427) implies:
% 195.62/31.00 | | | | | | | | | | | | | | | | | | | | (4428) ~ (all_57_9 = e2)
% 195.62/31.00 | | | | | | | | | | | | | | | | | | | | (4429) ~ (all_57_4 = e1)
% 195.62/31.00 | | | | | | | | | | | | | | | | | | | | (4430) op(e2, e3) = all_57_9
% 195.62/31.00 | | | | | | | | | | | | | | | | | | | | (4431) op(e3, e1) = all_57_5
% 195.62/31.00 | | | | | | | | | | | | | | | | | | | | (4432) op(e3, all_57_5) = all_57_4
% 195.62/31.00 | | | | | | | | | | | | | | | | | | | |
% 195.62/31.00 | | | | | | | | | | | | | | | | | | | | BETA: splitting (222) gives:
% 195.62/31.00 | | | | | | | | | | | | | | | | | | | |
% 195.62/31.00 | | | | | | | | | | | | | | | | | | | | Case 1:
% 195.62/31.00 | | | | | | | | | | | | | | | | | | | | |
% 195.62/31.00 | | | | | | | | | | | | | | | | | | | | | (4433) (all_56_2 = e1 & op(e2, e3) = e1) | (all_56_3 = e1
% 195.62/31.00 | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1)
% 195.62/31.00 | | | | | | | | | | | | | | | | | | | | |
% 195.62/31.00 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (229), (233), (235),
% 195.62/31.00 | | | | | | | | | | | | | | | | | | | | | (3900), (4362), (4433), (function-axioms) are
% 195.62/31.00 | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1122.
% 195.62/31.00 | | | | | | | | | | | | | | | | | | | | |
% 195.62/31.00 | | | | | | | | | | | | | | | | | | | | Case 2:
% 195.62/31.00 | | | | | | | | | | | | | | | | | | | | |
% 195.62/31.00 | | | | | | | | | | | | | | | | | | | | | (4434) (all_56_5 = e1 & op(e2, e1) = e1) | (all_56_10 =
% 195.62/31.00 | | | | | | | | | | | | | | | | | | | | | e1 & op(e2, e0) = e1)
% 195.62/31.00 | | | | | | | | | | | | | | | | | | | | |
% 195.62/31.00 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4434) gives:
% 195.62/31.00 | | | | | | | | | | | | | | | | | | | | |
% 195.62/31.00 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 195.62/31.00 | | | | | | | | | | | | | | | | | | | | | |
% 195.62/31.00 | | | | | | | | | | | | | | | | | | | | | | (4435) all_56_5 = e1 & op(e2, e1) = e1
% 195.62/31.00 | | | | | | | | | | | | | | | | | | | | | |
% 195.62/31.00 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4435) implies:
% 195.62/31.00 | | | | | | | | | | | | | | | | | | | | | | (4436) op(e2, e1) = e1
% 195.62/31.00 | | | | | | | | | | | | | | | | | | | | | |
% 195.62/31.00 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (4395), (4436), (function-axioms) are
% 195.62/31.00 | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1871.
% 195.62/31.00 | | | | | | | | | | | | | | | | | | | | | |
% 195.62/31.00 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 195.62/31.00 | | | | | | | | | | | | | | | | | | | | | |
% 195.62/31.00 | | | | | | | | | | | | | | | | | | | | | | (4437) all_56_10 = e1 & op(e2, e0) = e1
% 195.62/31.00 | | | | | | | | | | | | | | | | | | | | | |
% 195.62/31.00 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4437) implies:
% 195.62/31.00 | | | | | | | | | | | | | | | | | | | | | | (4438) op(e2, e0) = e1
% 195.62/31.00 | | | | | | | | | | | | | | | | | | | | | |
% 195.62/31.00 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (218) gives:
% 195.62/31.00 | | | | | | | | | | | | | | | | | | | | | |
% 195.62/31.00 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 195.62/31.00 | | | | | | | | | | | | | | | | | | | | | | |
% 195.62/31.00 | | | | | | | | | | | | | | | | | | | | | | | (4439) (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_5 = e1
% 195.62/31.00 | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e1)
% 195.62/31.00 | | | | | | | | | | | | | | | | | | | | | | |
% 195.62/31.00 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (4395), (4429), (4431), (4432), (4439),
% 195.62/31.00 | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 195.62/31.00 | | | | | | | | | | | | | | | | | | | | | | | #1389.
% 195.62/31.00 | | | | | | | | | | | | | | | | | | | | | | |
% 195.62/31.00 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 195.62/31.00 | | | | | | | | | | | | | | | | | | | | | | |
% 195.62/31.00 | | | | | | | | | | | | | | | | | | | | | | | (4440) (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_14 =
% 195.62/31.00 | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e1) = e1)
% 195.62/31.00 | | | | | | | | | | | | | | | | | | | | | | |
% 195.62/31.00 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4440) gives:
% 195.62/31.00 | | | | | | | | | | | | | | | | | | | | | | |
% 195.62/31.00 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 195.62/31.00 | | | | | | | | | | | | | | | | | | | | | | | |
% 195.62/31.00 | | | | | | | | | | | | | | | | | | | | | | | | (4441) all_56_8 = e1 & op(e1, e1) = e1
% 195.62/31.00 | | | | | | | | | | | | | | | | | | | | | | | |
% 195.62/31.00 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_7, e1,
% 195.62/31.00 | | | | | | | | | | | | | | | | | | | | | | | | e2, e0, simplifying with (158), (4421) gives:
% 195.62/31.00 | | | | | | | | | | | | | | | | | | | | | | | | (4442) all_52_7 = e1
% 195.62/31.00 | | | | | | | | | | | | | | | | | | | | | | | |
% 195.62/31.00 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_13,
% 195.62/31.00 | | | | | | | | | | | | | | | | | | | | | | | | e1, e0, e2, simplifying with (164), (4438) gives:
% 195.62/31.00 | | | | | | | | | | | | | | | | | | | | | | | | (4443) all_52_13 = e1
% 195.62/31.00 | | | | | | | | | | | | | | | | | | | | | | | |
% 195.62/31.00 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_1,
% 195.62/31.00 | | | | | | | | | | | | | | | | | | | | | | | | all_57_9, e3, e2, simplifying with (167), (4430)
% 195.62/31.00 | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 195.62/31.00 | | | | | | | | | | | | | | | | | | | | | | | | (4444) all_57_9 = all_52_1
% 195.62/31.00 | | | | | | | | | | | | | | | | | | | | | | | |
% 195.62/31.00 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4428), (4444) imply:
% 195.62/31.00 | | | | | | | | | | | | | | | | | | | | | | | | (4445) ~ (all_52_1 = e2)
% 195.62/31.00 | | | | | | | | | | | | | | | | | | | | | | | |
% 195.62/31.00 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (110), (4443) imply:
% 195.62/31.00 | | | | | | | | | | | | | | | | | | | | | | | | (4446) ~ (all_52_14 = e1)
% 195.62/31.00 | | | | | | | | | | | | | | | | | | | | | | | |
% 195.62/31.00 | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4446) implies:
% 195.62/31.00 | | | | | | | | | | | | | | | | | | | | | | | | (4447) ~ (all_52_14 = e1)
% 195.62/31.00 | | | | | | | | | | | | | | | | | | | | | | | |
% 195.62/31.00 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (370), (4443) imply:
% 195.62/31.00 | | | | | | | | | | | | | | | | | | | | | | | | (4448) ~ (all_10_2 = e1)
% 195.62/31.00 | | | | | | | | | | | | | | | | | | | | | | | |
% 195.62/31.00 | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4448) implies:
% 195.62/31.00 | | | | | | | | | | | | | | | | | | | | | | | | (4449) ~ (all_10_2 = e1)
% 195.62/31.00 | | | | | | | | | | | | | | | | | | | | | | | |
% 195.62/31.00 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (45), (158), (159), (160), (162), (163), (167),
% 195.62/31.00 | | | | | | | | | | | | | | | | | | | | | | | | (170), (189), (238), (246), (350), (361), (376),
% 195.62/31.00 | | | | | | | | | | | | | | | | | | | | | | | | (3896), (4357), (4382), (4394), (4397), (4445),
% 195.62/31.00 | | | | | | | | | | | | | | | | | | | | | | | | (4447), (4449), (function-axioms) are inconsistent
% 195.62/31.00 | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1121.
% 195.62/31.00 | | | | | | | | | | | | | | | | | | | | | | | |
% 195.62/31.00 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 195.62/31.00 | | | | | | | | | | | | | | | | | | | | | | | |
% 195.62/31.00 | | | | | | | | | | | | | | | | | | | | | | | | (4450) all_56_14 = e1 & op(e0, e1) = e1
% 195.62/31.00 | | | | | | | | | | | | | | | | | | | | | | | |
% 195.62/31.00 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4450) implies:
% 195.62/31.00 | | | | | | | | | | | | | | | | | | | | | | | | (4451) all_56_14 = e1
% 195.62/31.00 | | | | | | | | | | | | | | | | | | | | | | | |
% 195.62/31.00 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (165), (217), (219),
% 195.62/31.00 | | | | | | | | | | | | | | | | | | | | | | | | (220), (3898), (4397), (4451), (function-axioms)
% 195.62/31.00 | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1116.
% 195.62/31.00 | | | | | | | | | | | | | | | | | | | | | | | |
% 195.62/31.00 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 195.62/31.00 | | | | | | | | | | | | | | | | | | | | | | |
% 195.62/31.00 | | | | | | | | | | | | | | | | | | | | | | End of split
% 195.62/31.00 | | | | | | | | | | | | | | | | | | | | | |
% 195.62/31.00 | | | | | | | | | | | | | | | | | | | | | End of split
% 195.62/31.00 | | | | | | | | | | | | | | | | | | | | |
% 195.62/31.00 | | | | | | | | | | | | | | | | | | | | End of split
% 195.62/31.00 | | | | | | | | | | | | | | | | | | | |
% 195.62/31.00 | | | | | | | | | | | | | | | | | | | End of split
% 195.62/31.00 | | | | | | | | | | | | | | | | | | |
% 195.62/31.00 | | | | | | | | | | | | | | | | | | End of split
% 195.62/31.00 | | | | | | | | | | | | | | | | | |
% 195.62/31.00 | | | | | | | | | | | | | | | | | Case 2:
% 195.62/31.00 | | | | | | | | | | | | | | | | | |
% 195.62/31.01 | | | | | | | | | | | | | | | | | | (4452) (all_57_11 = e1 & ~ (all_57_13 = e2) & ~
% 195.62/31.01 | | | | | | | | | | | | | | | | | | (all_57_16 = e3) & ~ (all_57_18 = e2) & ~
% 195.62/31.01 | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_22 = e0) & op(e2,
% 195.62/31.01 | | | | | | | | | | | | | | | | | | e2) = e1 & op(e2, e1) = all_57_13 & op(e1,
% 195.62/31.01 | | | | | | | | | | | | | | | | | | all_57_17) = all_57_16 & op(e1, all_57_19) =
% 195.62/31.01 | | | | | | | | | | | | | | | | | | all_57_18 & op(e1, all_57_21) = all_57_20 &
% 195.62/31.01 | | | | | | | | | | | | | | | | | | op(e1, all_57_23) = all_57_22 & op(e1, e3) =
% 195.62/31.01 | | | | | | | | | | | | | | | | | | all_57_17 & op(e1, e2) = all_57_19 & op(e1, e1)
% 195.62/31.01 | | | | | | | | | | | | | | | | | | = all_57_21 & op(e1, e0) = all_57_23 &
% 195.62/31.01 | | | | | | | | | | | | | | | | | | $i(all_57_13) & $i(all_57_16) & $i(all_57_17) &
% 195.62/31.01 | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_19) & $i(all_57_20) &
% 195.62/31.01 | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_22) & $i(all_57_23)) |
% 195.62/31.01 | | | | | | | | | | | | | | | | | | (all_57_11 = e0 & ~ (all_57_15 = e2) & ~
% 195.62/31.01 | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 195.62/31.01 | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) & op(e2,
% 195.62/31.01 | | | | | | | | | | | | | | | | | | e2) = e0 & op(e2, e0) = all_57_15 & op(e0,
% 195.62/31.01 | | | | | | | | | | | | | | | | | | all_57_25) = all_57_24 & op(e0, all_57_27) =
% 195.62/31.01 | | | | | | | | | | | | | | | | | | all_57_26 & op(e0, all_57_29) = all_57_28 &
% 195.62/31.01 | | | | | | | | | | | | | | | | | | op(e0, all_57_31) = all_57_30 & op(e0, e3) =
% 195.62/31.01 | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_27 & op(e0, e1)
% 195.62/31.01 | | | | | | | | | | | | | | | | | | = all_57_29 & op(e0, e0) = all_57_31 &
% 195.62/31.01 | | | | | | | | | | | | | | | | | | $i(all_57_15) & $i(all_57_24) & $i(all_57_25) &
% 195.62/31.01 | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_27) & $i(all_57_28) &
% 195.62/31.01 | | | | | | | | | | | | | | | | | | $i(all_57_29) & $i(all_57_30) & $i(all_57_31)) |
% 195.62/31.01 | | | | | | | | | | | | | | | | | | (all_57_21 = e3 & ~ (all_57_0 = e3) & ~
% 195.62/31.01 | | | | | | | | | | | | | | | | | | (all_57_2 = e2) & ~ (all_57_4 = e1) & ~
% 195.62/31.01 | | | | | | | | | | | | | | | | | | (all_57_6 = e0) & ~ (all_57_17 = e1) & op(e3,
% 195.62/31.01 | | | | | | | | | | | | | | | | | | all_57_1) = all_57_0 & op(e3, all_57_3) =
% 195.62/31.01 | | | | | | | | | | | | | | | | | | all_57_2 & op(e3, all_57_5) = all_57_4 & op(e3,
% 195.62/31.01 | | | | | | | | | | | | | | | | | | all_57_7) = all_57_6 & op(e3, e3) = all_57_1 &
% 195.62/31.01 | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_3 & op(e3, e1) = all_57_5 &
% 195.62/31.01 | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_7 & op(e1, e3) = all_57_17 &
% 195.62/31.01 | | | | | | | | | | | | | | | | | | op(e1, e1) = e3 & $i(all_57_0) & $i(all_57_1) &
% 195.62/31.01 | | | | | | | | | | | | | | | | | | $i(all_57_2) & $i(all_57_3) & $i(all_57_4) &
% 195.62/31.01 | | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 195.62/31.01 | | | | | | | | | | | | | | | | | | $i(all_57_17)) | (all_57_21 = e2 & ~ (all_57_8
% 195.62/31.01 | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_10 = e2) & ~ (all_57_12 =
% 195.62/31.01 | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_14 = e0) & ~ (all_57_19 =
% 195.62/31.01 | | | | | | | | | | | | | | | | | | e1) & op(e2, all_57_9) = all_57_8 & op(e2,
% 195.62/31.01 | | | | | | | | | | | | | | | | | | all_57_11) = all_57_10 & op(e2, all_57_13) =
% 195.62/31.01 | | | | | | | | | | | | | | | | | | all_57_12 & op(e2, all_57_15) = all_57_14 &
% 195.62/31.01 | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_9 & op(e2, e2) = all_57_11 &
% 195.62/31.01 | | | | | | | | | | | | | | | | | | op(e2, e1) = all_57_13 & op(e2, e0) = all_57_15
% 195.62/31.01 | | | | | | | | | | | | | | | | | | & op(e1, e2) = all_57_19 & op(e1, e1) = e2 &
% 195.62/31.01 | | | | | | | | | | | | | | | | | | $i(all_57_8) & $i(all_57_9) & $i(all_57_10) &
% 195.62/31.01 | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_12) & $i(all_57_13) &
% 195.62/31.01 | | | | | | | | | | | | | | | | | | $i(all_57_14) & $i(all_57_15) & $i(all_57_19)) |
% 195.62/31.01 | | | | | | | | | | | | | | | | | | (op(e0, e0) = all_57_31 & $i(all_57_31) &
% 195.62/31.01 | | | | | | | | | | | | | | | | | | ((all_57_21 = e0 & ~ (all_57_23 = e1) & ~
% 195.62/31.01 | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 195.62/31.01 | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) &
% 195.62/31.01 | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = all_57_23 &
% 195.62/31.01 | | | | | | | | | | | | | | | | | | op(e0, all_57_25) = all_57_24 & op(e0,
% 195.62/31.01 | | | | | | | | | | | | | | | | | | all_57_27) = all_57_26 & op(e0, all_57_29)
% 195.62/31.01 | | | | | | | | | | | | | | | | | | = all_57_28 & op(e0, all_57_31) = all_57_30
% 195.62/31.01 | | | | | | | | | | | | | | | | | | & op(e0, e3) = all_57_25 & op(e0, e2) =
% 195.62/31.01 | | | | | | | | | | | | | | | | | | all_57_27 & op(e0, e1) = all_57_29 &
% 195.62/31.01 | | | | | | | | | | | | | | | | | | $i(all_57_23) & $i(all_57_24) &
% 195.62/31.01 | | | | | | | | | | | | | | | | | | $i(all_57_25) & $i(all_57_26) &
% 195.62/31.01 | | | | | | | | | | | | | | | | | | $i(all_57_27) & $i(all_57_28) &
% 195.62/31.01 | | | | | | | | | | | | | | | | | | $i(all_57_29) & $i(all_57_30)) | (all_57_31
% 195.62/31.01 | | | | | | | | | | | | | | | | | | = e3 & ~ (all_57_0 = e3) & ~ (all_57_2 =
% 195.62/31.01 | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_4 = e1) & ~ (all_57_6 =
% 195.62/31.01 | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_25 = e0) & op(e3,
% 195.62/31.01 | | | | | | | | | | | | | | | | | | all_57_1) = all_57_0 & op(e3, all_57_3) =
% 195.62/31.01 | | | | | | | | | | | | | | | | | | all_57_2 & op(e3, all_57_5) = all_57_4 &
% 195.62/31.01 | | | | | | | | | | | | | | | | | | op(e3, all_57_7) = all_57_6 & op(e3, e3) =
% 195.62/31.01 | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e2) = all_57_3 & op(e3,
% 195.62/31.01 | | | | | | | | | | | | | | | | | | e1) = all_57_5 & op(e3, e0) = all_57_7 &
% 195.62/31.01 | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_25 & $i(all_57_0) &
% 195.62/31.01 | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_2) & $i(all_57_3) &
% 195.62/31.01 | | | | | | | | | | | | | | | | | | $i(all_57_4) & $i(all_57_5) & $i(all_57_6) &
% 195.62/31.01 | | | | | | | | | | | | | | | | | | $i(all_57_7) & $i(all_57_25)) | (all_57_31 =
% 195.62/31.01 | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_8 = e3) & ~ (all_57_10 =
% 195.62/31.01 | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_12 = e1) & ~ (all_57_14
% 195.62/31.01 | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_27 = e0) & op(e2,
% 195.62/31.01 | | | | | | | | | | | | | | | | | | all_57_9) = all_57_8 & op(e2, all_57_11) =
% 195.62/31.01 | | | | | | | | | | | | | | | | | | all_57_10 & op(e2, all_57_13) = all_57_12 &
% 195.62/31.01 | | | | | | | | | | | | | | | | | | op(e2, all_57_15) = all_57_14 & op(e2, e3) =
% 195.62/31.01 | | | | | | | | | | | | | | | | | | all_57_9 & op(e2, e2) = all_57_11 & op(e2,
% 195.62/31.01 | | | | | | | | | | | | | | | | | | e1) = all_57_13 & op(e2, e0) = all_57_15 &
% 195.62/31.01 | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_27 & $i(all_57_8) &
% 195.62/31.01 | | | | | | | | | | | | | | | | | | $i(all_57_9) & $i(all_57_10) & $i(all_57_11)
% 195.62/31.01 | | | | | | | | | | | | | | | | | | & $i(all_57_12) & $i(all_57_13) &
% 195.62/31.01 | | | | | | | | | | | | | | | | | | $i(all_57_14) & $i(all_57_15) &
% 195.62/31.01 | | | | | | | | | | | | | | | | | | $i(all_57_27)) | (all_57_31 = e1 & ~
% 195.62/31.01 | | | | | | | | | | | | | | | | | | (all_57_16 = e3) & ~ (all_57_18 = e2) & ~
% 195.62/31.01 | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_22 = e0) & ~
% 195.62/31.01 | | | | | | | | | | | | | | | | | | (all_57_29 = e0) & op(e1, all_57_17) =
% 195.62/31.01 | | | | | | | | | | | | | | | | | | all_57_16 & op(e1, all_57_19) = all_57_18 &
% 195.62/31.01 | | | | | | | | | | | | | | | | | | op(e1, all_57_21) = all_57_20 & op(e1,
% 195.62/31.01 | | | | | | | | | | | | | | | | | | all_57_23) = all_57_22 & op(e1, e3) =
% 195.62/31.01 | | | | | | | | | | | | | | | | | | all_57_17 & op(e1, e2) = all_57_19 & op(e1,
% 195.62/31.01 | | | | | | | | | | | | | | | | | | e1) = all_57_21 & op(e1, e0) = all_57_23 &
% 195.62/31.01 | | | | | | | | | | | | | | | | | | op(e0, e1) = all_57_29 & $i(all_57_16) &
% 195.62/31.01 | | | | | | | | | | | | | | | | | | $i(all_57_17) & $i(all_57_18) &
% 195.62/31.01 | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_20) &
% 195.62/31.01 | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_22) &
% 195.62/31.01 | | | | | | | | | | | | | | | | | | $i(all_57_23) & $i(all_57_29))))
% 195.62/31.01 | | | | | | | | | | | | | | | | | |
% 195.62/31.01 | | | | | | | | | | | | | | | | | | BETA: splitting (4452) gives:
% 195.62/31.01 | | | | | | | | | | | | | | | | | |
% 195.62/31.01 | | | | | | | | | | | | | | | | | | Case 1:
% 195.62/31.01 | | | | | | | | | | | | | | | | | | |
% 195.62/31.01 | | | | | | | | | | | | | | | | | | | (4453) (all_57_11 = e1 & ~ (all_57_13 = e2) & ~
% 195.62/31.01 | | | | | | | | | | | | | | | | | | | (all_57_16 = e3) & ~ (all_57_18 = e2) & ~
% 195.62/31.01 | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_22 = e0) & op(e2,
% 195.62/31.01 | | | | | | | | | | | | | | | | | | | e2) = e1 & op(e2, e1) = all_57_13 & op(e1,
% 195.62/31.01 | | | | | | | | | | | | | | | | | | | all_57_17) = all_57_16 & op(e1, all_57_19) =
% 195.62/31.01 | | | | | | | | | | | | | | | | | | | all_57_18 & op(e1, all_57_21) = all_57_20 &
% 195.62/31.01 | | | | | | | | | | | | | | | | | | | op(e1, all_57_23) = all_57_22 & op(e1, e3) =
% 195.62/31.01 | | | | | | | | | | | | | | | | | | | all_57_17 & op(e1, e2) = all_57_19 & op(e1, e1)
% 195.62/31.01 | | | | | | | | | | | | | | | | | | | = all_57_21 & op(e1, e0) = all_57_23 &
% 195.62/31.01 | | | | | | | | | | | | | | | | | | | $i(all_57_13) & $i(all_57_16) & $i(all_57_17) &
% 195.62/31.01 | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_19) & $i(all_57_20) &
% 195.62/31.01 | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_22) & $i(all_57_23)) |
% 195.62/31.01 | | | | | | | | | | | | | | | | | | | (all_57_11 = e0 & ~ (all_57_15 = e2) & ~
% 195.62/31.01 | | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 195.62/31.01 | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) & op(e2,
% 195.62/31.01 | | | | | | | | | | | | | | | | | | | e2) = e0 & op(e2, e0) = all_57_15 & op(e0,
% 195.62/31.01 | | | | | | | | | | | | | | | | | | | all_57_25) = all_57_24 & op(e0, all_57_27) =
% 195.62/31.01 | | | | | | | | | | | | | | | | | | | all_57_26 & op(e0, all_57_29) = all_57_28 &
% 195.62/31.01 | | | | | | | | | | | | | | | | | | | op(e0, all_57_31) = all_57_30 & op(e0, e3) =
% 195.62/31.01 | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_27 & op(e0, e1)
% 195.62/31.01 | | | | | | | | | | | | | | | | | | | = all_57_29 & op(e0, e0) = all_57_31 &
% 195.62/31.01 | | | | | | | | | | | | | | | | | | | $i(all_57_15) & $i(all_57_24) & $i(all_57_25) &
% 195.62/31.01 | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_27) & $i(all_57_28) &
% 195.62/31.01 | | | | | | | | | | | | | | | | | | | $i(all_57_29) & $i(all_57_30) & $i(all_57_31))
% 195.62/31.01 | | | | | | | | | | | | | | | | | | |
% 195.62/31.01 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8), (3900), (4453), (function-axioms) are
% 195.62/31.01 | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1200.
% 195.62/31.01 | | | | | | | | | | | | | | | | | | |
% 195.62/31.01 | | | | | | | | | | | | | | | | | | Case 2:
% 195.62/31.01 | | | | | | | | | | | | | | | | | | |
% 195.62/31.01 | | | | | | | | | | | | | | | | | | | (4454) (all_57_21 = e3 & ~ (all_57_0 = e3) & ~
% 195.62/31.01 | | | | | | | | | | | | | | | | | | | (all_57_2 = e2) & ~ (all_57_4 = e1) & ~
% 195.62/31.01 | | | | | | | | | | | | | | | | | | | (all_57_6 = e0) & ~ (all_57_17 = e1) & op(e3,
% 195.62/31.01 | | | | | | | | | | | | | | | | | | | all_57_1) = all_57_0 & op(e3, all_57_3) =
% 195.62/31.01 | | | | | | | | | | | | | | | | | | | all_57_2 & op(e3, all_57_5) = all_57_4 & op(e3,
% 195.62/31.01 | | | | | | | | | | | | | | | | | | | all_57_7) = all_57_6 & op(e3, e3) = all_57_1 &
% 195.62/31.01 | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_3 & op(e3, e1) = all_57_5 &
% 195.62/31.01 | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_7 & op(e1, e3) = all_57_17 &
% 195.62/31.01 | | | | | | | | | | | | | | | | | | | op(e1, e1) = e3 & $i(all_57_0) & $i(all_57_1) &
% 195.62/31.01 | | | | | | | | | | | | | | | | | | | $i(all_57_2) & $i(all_57_3) & $i(all_57_4) &
% 195.62/31.01 | | | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 195.62/31.01 | | | | | | | | | | | | | | | | | | | $i(all_57_17)) | (all_57_21 = e2 & ~ (all_57_8
% 195.62/31.01 | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_10 = e2) & ~ (all_57_12 =
% 195.62/31.01 | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_14 = e0) & ~ (all_57_19 =
% 195.62/31.01 | | | | | | | | | | | | | | | | | | | e1) & op(e2, all_57_9) = all_57_8 & op(e2,
% 195.62/31.01 | | | | | | | | | | | | | | | | | | | all_57_11) = all_57_10 & op(e2, all_57_13) =
% 195.62/31.01 | | | | | | | | | | | | | | | | | | | all_57_12 & op(e2, all_57_15) = all_57_14 &
% 195.62/31.01 | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_9 & op(e2, e2) = all_57_11 &
% 195.62/31.01 | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_57_13 & op(e2, e0) = all_57_15
% 195.62/31.01 | | | | | | | | | | | | | | | | | | | & op(e1, e2) = all_57_19 & op(e1, e1) = e2 &
% 195.62/31.01 | | | | | | | | | | | | | | | | | | | $i(all_57_8) & $i(all_57_9) & $i(all_57_10) &
% 195.62/31.01 | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_12) & $i(all_57_13) &
% 195.62/31.01 | | | | | | | | | | | | | | | | | | | $i(all_57_14) & $i(all_57_15) & $i(all_57_19)) |
% 195.62/31.01 | | | | | | | | | | | | | | | | | | | (op(e0, e0) = all_57_31 & $i(all_57_31) &
% 195.62/31.01 | | | | | | | | | | | | | | | | | | | ((all_57_21 = e0 & ~ (all_57_23 = e1) & ~
% 195.62/31.01 | | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 195.62/31.01 | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) &
% 195.62/31.01 | | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = all_57_23 &
% 195.62/31.01 | | | | | | | | | | | | | | | | | | | op(e0, all_57_25) = all_57_24 & op(e0,
% 195.62/31.01 | | | | | | | | | | | | | | | | | | | all_57_27) = all_57_26 & op(e0, all_57_29)
% 195.62/31.01 | | | | | | | | | | | | | | | | | | | = all_57_28 & op(e0, all_57_31) = all_57_30
% 195.62/31.01 | | | | | | | | | | | | | | | | | | | & op(e0, e3) = all_57_25 & op(e0, e2) =
% 195.62/31.01 | | | | | | | | | | | | | | | | | | | all_57_27 & op(e0, e1) = all_57_29 &
% 195.62/31.01 | | | | | | | | | | | | | | | | | | | $i(all_57_23) & $i(all_57_24) &
% 195.62/31.01 | | | | | | | | | | | | | | | | | | | $i(all_57_25) & $i(all_57_26) &
% 195.62/31.01 | | | | | | | | | | | | | | | | | | | $i(all_57_27) & $i(all_57_28) &
% 195.62/31.01 | | | | | | | | | | | | | | | | | | | $i(all_57_29) & $i(all_57_30)) | (all_57_31
% 195.62/31.01 | | | | | | | | | | | | | | | | | | | = e3 & ~ (all_57_0 = e3) & ~ (all_57_2 =
% 195.62/31.01 | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_4 = e1) & ~ (all_57_6 =
% 195.62/31.01 | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_25 = e0) & op(e3,
% 195.62/31.01 | | | | | | | | | | | | | | | | | | | all_57_1) = all_57_0 & op(e3, all_57_3) =
% 195.62/31.01 | | | | | | | | | | | | | | | | | | | all_57_2 & op(e3, all_57_5) = all_57_4 &
% 195.62/31.01 | | | | | | | | | | | | | | | | | | | op(e3, all_57_7) = all_57_6 & op(e3, e3) =
% 195.62/31.01 | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e2) = all_57_3 & op(e3,
% 195.62/31.01 | | | | | | | | | | | | | | | | | | | e1) = all_57_5 & op(e3, e0) = all_57_7 &
% 195.62/31.01 | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_25 & $i(all_57_0) &
% 195.62/31.01 | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_2) & $i(all_57_3) &
% 195.62/31.01 | | | | | | | | | | | | | | | | | | | $i(all_57_4) & $i(all_57_5) & $i(all_57_6) &
% 195.62/31.01 | | | | | | | | | | | | | | | | | | | $i(all_57_7) & $i(all_57_25)) | (all_57_31 =
% 195.62/31.01 | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_8 = e3) & ~ (all_57_10 =
% 195.62/31.01 | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_12 = e1) & ~ (all_57_14
% 195.62/31.01 | | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_27 = e0) & op(e2,
% 195.62/31.01 | | | | | | | | | | | | | | | | | | | all_57_9) = all_57_8 & op(e2, all_57_11) =
% 195.62/31.01 | | | | | | | | | | | | | | | | | | | all_57_10 & op(e2, all_57_13) = all_57_12 &
% 195.62/31.01 | | | | | | | | | | | | | | | | | | | op(e2, all_57_15) = all_57_14 & op(e2, e3) =
% 195.62/31.01 | | | | | | | | | | | | | | | | | | | all_57_9 & op(e2, e2) = all_57_11 & op(e2,
% 195.62/31.01 | | | | | | | | | | | | | | | | | | | e1) = all_57_13 & op(e2, e0) = all_57_15 &
% 195.62/31.01 | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_27 & $i(all_57_8) &
% 195.62/31.01 | | | | | | | | | | | | | | | | | | | $i(all_57_9) & $i(all_57_10) & $i(all_57_11)
% 195.62/31.01 | | | | | | | | | | | | | | | | | | | & $i(all_57_12) & $i(all_57_13) &
% 195.62/31.01 | | | | | | | | | | | | | | | | | | | $i(all_57_14) & $i(all_57_15) &
% 195.62/31.01 | | | | | | | | | | | | | | | | | | | $i(all_57_27)) | (all_57_31 = e1 & ~
% 195.62/31.01 | | | | | | | | | | | | | | | | | | | (all_57_16 = e3) & ~ (all_57_18 = e2) & ~
% 195.62/31.01 | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_22 = e0) & ~
% 195.62/31.01 | | | | | | | | | | | | | | | | | | | (all_57_29 = e0) & op(e1, all_57_17) =
% 195.62/31.01 | | | | | | | | | | | | | | | | | | | all_57_16 & op(e1, all_57_19) = all_57_18 &
% 195.62/31.01 | | | | | | | | | | | | | | | | | | | op(e1, all_57_21) = all_57_20 & op(e1,
% 195.62/31.01 | | | | | | | | | | | | | | | | | | | all_57_23) = all_57_22 & op(e1, e3) =
% 195.62/31.01 | | | | | | | | | | | | | | | | | | | all_57_17 & op(e1, e2) = all_57_19 & op(e1,
% 195.62/31.01 | | | | | | | | | | | | | | | | | | | e1) = all_57_21 & op(e1, e0) = all_57_23 &
% 195.62/31.01 | | | | | | | | | | | | | | | | | | | op(e0, e1) = all_57_29 & $i(all_57_16) &
% 195.62/31.01 | | | | | | | | | | | | | | | | | | | $i(all_57_17) & $i(all_57_18) &
% 195.62/31.01 | | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_20) &
% 195.62/31.01 | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_22) &
% 195.62/31.01 | | | | | | | | | | | | | | | | | | | $i(all_57_23) & $i(all_57_29))))
% 195.62/31.01 | | | | | | | | | | | | | | | | | | |
% 195.62/31.01 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (8), (45), (376), (4382), (4397),
% 195.62/31.01 | | | | | | | | | | | | | | | | | | | (4454), (function-axioms) are inconsistent by
% 195.62/31.01 | | | | | | | | | | | | | | | | | | | sub-proof #1932.
% 195.62/31.01 | | | | | | | | | | | | | | | | | | |
% 195.62/31.01 | | | | | | | | | | | | | | | | | | End of split
% 195.62/31.01 | | | | | | | | | | | | | | | | | |
% 195.62/31.01 | | | | | | | | | | | | | | | | | End of split
% 195.62/31.01 | | | | | | | | | | | | | | | | |
% 195.62/31.01 | | | | | | | | | | | | | | | | End of split
% 195.62/31.01 | | | | | | | | | | | | | | | |
% 195.62/31.01 | | | | | | | | | | | | | | | End of split
% 195.62/31.01 | | | | | | | | | | | | | | |
% 195.62/31.01 | | | | | | | | | | | | | | Case 2:
% 195.62/31.01 | | | | | | | | | | | | | | |
% 195.62/31.01 | | | | | | | | | | | | | | | (4455) all_54_10 = e0
% 195.62/31.01 | | | | | | | | | | | | | | |
% 195.62/31.01 | | | | | | | | | | | | | | | REF_CLOSE: (335), (372), (4455) are inconsistent by sub-proof
% 195.62/31.01 | | | | | | | | | | | | | | | #1950.
% 195.62/31.01 | | | | | | | | | | | | | | |
% 195.62/31.01 | | | | | | | | | | | | | | End of split
% 195.62/31.01 | | | | | | | | | | | | | |
% 195.62/31.01 | | | | | | | | | | | | | End of split
% 195.62/31.01 | | | | | | | | | | | | |
% 195.62/31.01 | | | | | | | | | | | | End of split
% 195.62/31.01 | | | | | | | | | | | |
% 195.62/31.01 | | | | | | | | | | | Case 2:
% 195.62/31.01 | | | | | | | | | | | |
% 195.62/31.01 | | | | | | | | | | | | (4456) all_32_2 = e3
% 195.62/31.01 | | | | | | | | | | | | (4457) op(e3, e1) = all_32_1 & $i(all_32_1) & ( ~
% 195.62/31.01 | | | | | | | | | | | | (all_32_1 = e0) | ( ~ (all_32_0 = e2) & op(e0,
% 195.62/31.01 | | | | | | | | | | | | e3) = all_32_0 & $i(all_32_0)))
% 195.62/31.01 | | | | | | | | | | | |
% 195.62/31.01 | | | | | | | | | | | | ALPHA: (4457) implies:
% 195.62/31.01 | | | | | | | | | | | | (4458) op(e3, e1) = all_32_1
% 195.62/31.01 | | | | | | | | | | | | (4459) ~ (all_32_1 = e0) | ( ~ (all_32_0 = e2) & op(e0,
% 195.62/31.01 | | | | | | | | | | | | e3) = all_32_0 & $i(all_32_0))
% 195.62/31.01 | | | | | | | | | | | |
% 195.62/31.01 | | | | | | | | | | | | COMBINE_EQS: (301), (4456) imply:
% 195.62/31.01 | | | | | | | | | | | | (4460) all_4_2 = e3
% 195.62/31.01 | | | | | | | | | | | |
% 195.62/31.01 | | | | | | | | | | | | SIMP: (4460) implies:
% 195.62/31.01 | | | | | | | | | | | | (4461) all_4_2 = e3
% 195.62/31.01 | | | | | | | | | | | |
% 195.62/31.01 | | | | | | | | | | | | COMBINE_EQS: (295), (4461) imply:
% 195.62/31.01 | | | | | | | | | | | | (4462) all_50_2 = e3
% 195.62/31.01 | | | | | | | | | | | |
% 195.62/31.01 | | | | | | | | | | | | REDUCE: (362), (4461) imply:
% 195.62/31.01 | | | | | | | | | | | | (4463) ~ (all_52_8 = e3)
% 195.62/31.01 | | | | | | | | | | | |
% 195.62/31.01 | | | | | | | | | | | | REDUCE: (365), (4461) imply:
% 195.62/31.01 | | | | | | | | | | | | (4464) ~ (all_52_11 = e3)
% 195.62/31.01 | | | | | | | | | | | |
% 195.62/31.01 | | | | | | | | | | | | REDUCE: (36), (4461) imply:
% 195.62/31.01 | | | | | | | | | | | | (4465) op(e1, e1) = e3
% 195.62/31.01 | | | | | | | | | | | |
% 195.62/31.01 | | | | | | | | | | | | BETA: splitting (236) gives:
% 195.62/31.01 | | | | | | | | | | | |
% 195.62/31.01 | | | | | | | | | | | | Case 1:
% 195.62/31.01 | | | | | | | | | | | | |
% 195.62/31.01 | | | | | | | | | | | | | (4466) (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_1 = e3
% 195.62/31.01 | | | | | | | | | | | | | & op(e3, e2) = e3)
% 195.62/31.01 | | | | | | | | | | | | |
% 195.62/31.01 | | | | | | | | | | | | | REF_CLOSE: (8), (170), (3896), (4362), (4466),
% 195.62/31.01 | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 195.62/31.01 | | | | | | | | | | | | | #1115.
% 195.62/31.01 | | | | | | | | | | | | |
% 195.62/31.01 | | | | | | | | | | | | Case 2:
% 195.62/31.01 | | | | | | | | | | | | |
% 195.62/31.01 | | | | | | | | | | | | | (4467) (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_9 = e3
% 195.62/31.01 | | | | | | | | | | | | | & op(e3, e0) = e3)
% 195.62/31.01 | | | | | | | | | | | | |
% 195.62/31.01 | | | | | | | | | | | | | BETA: splitting (4467) gives:
% 195.62/31.01 | | | | | | | | | | | | |
% 195.62/31.01 | | | | | | | | | | | | | Case 1:
% 195.62/31.01 | | | | | | | | | | | | | |
% 195.62/31.01 | | | | | | | | | | | | | | (4468) all_56_4 = e3 & op(e3, e1) = e3
% 195.62/31.01 | | | | | | | | | | | | | |
% 195.62/31.01 | | | | | | | | | | | | | | ALPHA: (4468) implies:
% 195.62/31.01 | | | | | | | | | | | | | | (4469) op(e3, e1) = e3
% 195.62/31.01 | | | | | | | | | | | | | |
% 195.62/31.01 | | | | | | | | | | | | | | REF_CLOSE: (169), (4463), (4469), (function-axioms) are
% 195.62/31.01 | | | | | | | | | | | | | | inconsistent by sub-proof #1930.
% 195.62/31.01 | | | | | | | | | | | | | |
% 195.62/31.01 | | | | | | | | | | | | | Case 2:
% 195.62/31.01 | | | | | | | | | | | | | |
% 195.62/31.01 | | | | | | | | | | | | | | (4470) all_56_9 = e3 & op(e3, e0) = e3
% 195.62/31.01 | | | | | | | | | | | | | |
% 195.62/31.01 | | | | | | | | | | | | | | ALPHA: (4470) implies:
% 195.62/31.01 | | | | | | | | | | | | | | (4471) all_56_9 = e3
% 195.62/31.01 | | | | | | | | | | | | | | (4472) op(e3, e0) = e3
% 195.62/31.01 | | | | | | | | | | | | | |
% 195.62/31.01 | | | | | | | | | | | | | | BETA: splitting (106) gives:
% 195.62/31.01 | | | | | | | | | | | | | |
% 195.62/31.01 | | | | | | | | | | | | | | Case 1:
% 195.62/31.01 | | | | | | | | | | | | | | |
% 195.62/31.01 | | | | | | | | | | | | | | | (4473) ~ (all_50_2 = e3)
% 195.62/31.01 | | | | | | | | | | | | | | |
% 195.62/31.01 | | | | | | | | | | | | | | | REDUCE: (4462), (4473) imply:
% 195.62/31.01 | | | | | | | | | | | | | | | (4474) $false
% 195.62/31.01 | | | | | | | | | | | | | | |
% 195.62/31.01 | | | | | | | | | | | | | | | CLOSE: (4474) is inconsistent.
% 195.62/31.01 | | | | | | | | | | | | | | |
% 195.62/31.01 | | | | | | | | | | | | | | Case 2:
% 195.62/31.01 | | | | | | | | | | | | | | |
% 195.62/31.01 | | | | | | | | | | | | | | | (4475) op(e3, e1) = all_50_1 & $i(all_50_1) & ( ~
% 195.62/31.01 | | | | | | | | | | | | | | | (all_50_1 = e2) | ( ~ (all_50_0 = e0) & op(e2,
% 195.62/31.01 | | | | | | | | | | | | | | | e3) = all_50_0 & $i(all_50_0)))
% 195.62/31.01 | | | | | | | | | | | | | | |
% 195.62/31.01 | | | | | | | | | | | | | | | ALPHA: (4475) implies:
% 195.62/31.01 | | | | | | | | | | | | | | | (4476) op(e3, e1) = all_50_1
% 195.62/31.01 | | | | | | | | | | | | | | | (4477) ~ (all_50_1 = e2) | ( ~ (all_50_0 = e0) & op(e2,
% 195.62/31.01 | | | | | | | | | | | | | | | e3) = all_50_0 & $i(all_50_0))
% 195.62/31.01 | | | | | | | | | | | | | | |
% 195.62/31.01 | | | | | | | | | | | | | | | BETA: splitting (209) gives:
% 195.62/31.01 | | | | | | | | | | | | | | |
% 195.62/31.01 | | | | | | | | | | | | | | | Case 1:
% 195.62/31.01 | | | | | | | | | | | | | | | |
% 195.62/31.01 | | | | | | | | | | | | | | | | (4478) (all_56_12 = e3 & op(e0, e3) = e3) | (all_56_13 =
% 195.62/31.01 | | | | | | | | | | | | | | | | e3 & op(e0, e2) = e3)
% 195.62/31.01 | | | | | | | | | | | | | | | |
% 195.62/31.01 | | | | | | | | | | | | | | | | BETA: splitting (4478) gives:
% 195.62/31.01 | | | | | | | | | | | | | | | |
% 195.62/31.01 | | | | | | | | | | | | | | | | Case 1:
% 195.62/31.01 | | | | | | | | | | | | | | | | |
% 195.62/31.01 | | | | | | | | | | | | | | | | | (4479) all_56_12 = e3 & op(e0, e3) = e3
% 195.62/31.01 | | | | | | | | | | | | | | | | |
% 195.62/31.01 | | | | | | | | | | | | | | | | | ALPHA: (4479) implies:
% 195.62/31.01 | | | | | | | | | | | | | | | | | (4480) all_56_12 = e3
% 195.62/31.01 | | | | | | | | | | | | | | | | | (4481) op(e0, e3) = e3
% 195.62/31.01 | | | | | | | | | | | | | | | | |
% 195.62/31.01 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_3, e3,
% 195.62/31.01 | | | | | | | | | | | | | | | | | e3, e0, simplifying with (159), (4481) gives:
% 195.62/31.01 | | | | | | | | | | | | | | | | | (4482) all_52_3 = e3
% 195.62/31.01 | | | | | | | | | | | | | | | | |
% 195.62/31.01 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_12,
% 195.62/31.01 | | | | | | | | | | | | | | | | | e3, e0, e3, simplifying with (168), (4472) gives:
% 195.62/31.01 | | | | | | | | | | | | | | | | | (4483) all_52_12 = e3
% 195.62/31.01 | | | | | | | | | | | | | | | | |
% 195.62/31.01 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_8,
% 195.62/31.01 | | | | | | | | | | | | | | | | | all_32_1, e1, e3, simplifying with (169), (4458)
% 195.62/31.01 | | | | | | | | | | | | | | | | | gives:
% 195.62/31.01 | | | | | | | | | | | | | | | | | (4484) all_52_8 = all_32_1
% 195.62/31.01 | | | | | | | | | | | | | | | | |
% 195.62/31.01 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_8,
% 195.62/31.01 | | | | | | | | | | | | | | | | | all_50_1, e1, e3, simplifying with (169), (4476)
% 195.62/31.01 | | | | | | | | | | | | | | | | | gives:
% 195.62/31.01 | | | | | | | | | | | | | | | | | (4485) all_52_8 = all_50_1
% 195.62/31.01 | | | | | | | | | | | | | | | | |
% 195.62/31.01 | | | | | | | | | | | | | | | | | COMBINE_EQS: (4484), (4485) imply:
% 195.62/31.01 | | | | | | | | | | | | | | | | | (4486) all_50_1 = all_32_1
% 195.62/31.01 | | | | | | | | | | | | | | | | |
% 195.62/31.01 | | | | | | | | | | | | | | | | | SIMP: (4486) implies:
% 195.62/31.01 | | | | | | | | | | | | | | | | | (4487) all_50_1 = all_32_1
% 195.62/31.01 | | | | | | | | | | | | | | | | |
% 195.62/31.01 | | | | | | | | | | | | | | | | | REDUCE: (3915), (4484) imply:
% 195.62/31.01 | | | | | | | | | | | | | | | | | (4488) ~ (all_32_1 = all_16_1)
% 195.62/31.01 | | | | | | | | | | | | | | | | |
% 195.62/31.01 | | | | | | | | | | | | | | | | | REDUCE: (4463), (4484) imply:
% 195.62/31.01 | | | | | | | | | | | | | | | | | (4489) ~ (all_32_1 = e3)
% 195.62/31.01 | | | | | | | | | | | | | | | | |
% 195.62/31.01 | | | | | | | | | | | | | | | | | REDUCE: (4358), (4484) imply:
% 195.62/31.01 | | | | | | | | | | | | | | | | | (4490) ~ (all_32_1 = e1)
% 195.62/31.01 | | | | | | | | | | | | | | | | |
% 195.62/31.01 | | | | | | | | | | | | | | | | | REDUCE: (112), (4483) imply:
% 195.62/31.01 | | | | | | | | | | | | | | | | | (4491) ~ (all_52_14 = e3)
% 195.62/31.01 | | | | | | | | | | | | | | | | |
% 195.62/31.01 | | | | | | | | | | | | | | | | | SIMP: (4491) implies:
% 195.62/31.01 | | | | | | | | | | | | | | | | | (4492) ~ (all_52_14 = e3)
% 195.62/31.01 | | | | | | | | | | | | | | | | |
% 195.62/31.01 | | | | | | | | | | | | | | | | | REDUCE: (3917), (4483) imply:
% 195.62/31.01 | | | | | | | | | | | | | | | | | (4493) ~ (all_16_1 = e3)
% 195.62/31.01 | | | | | | | | | | | | | | | | |
% 195.62/31.01 | | | | | | | | | | | | | | | | | REDUCE: (369), (4483) imply:
% 195.62/31.01 | | | | | | | | | | | | | | | | | (4494) ~ (all_10_2 = e3)
% 195.62/31.01 | | | | | | | | | | | | | | | | |
% 195.62/31.01 | | | | | | | | | | | | | | | | | BETA: splitting (91) gives:
% 195.62/31.01 | | | | | | | | | | | | | | | | |
% 195.62/31.01 | | | | | | | | | | | | | | | | | Case 1:
% 195.62/31.01 | | | | | | | | | | | | | | | | | |
% 195.62/31.01 | | | | | | | | | | | | | | | | | | (4495) ~ (all_40_2 = e1)
% 195.62/31.01 | | | | | | | | | | | | | | | | | |
% 195.62/31.01 | | | | | | | | | | | | | | | | | | REDUCE: (307), (4495) imply:
% 195.62/31.01 | | | | | | | | | | | | | | | | | | (4496) ~ (all_10_2 = e1)
% 195.62/31.01 | | | | | | | | | | | | | | | | | |
% 195.62/31.01 | | | | | | | | | | | | | | | | | | BETA: splitting (189) gives:
% 195.62/31.01 | | | | | | | | | | | | | | | | | |
% 195.62/31.01 | | | | | | | | | | | | | | | | | | Case 1:
% 195.62/31.01 | | | | | | | | | | | | | | | | | | |
% 195.62/31.01 | | | | | | | | | | | | | | | | | | | (4497) all_54_15 = e3
% 195.62/31.01 | | | | | | | | | | | | | | | | | | |
% 195.62/31.01 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (246), (4497) imply:
% 195.62/31.01 | | | | | | | | | | | | | | | | | | | (4498) all_10_2 = e3
% 195.62/31.01 | | | | | | | | | | | | | | | | | | |
% 195.62/31.01 | | | | | | | | | | | | | | | | | | | REDUCE: (376), (4498) imply:
% 195.62/31.01 | | | | | | | | | | | | | | | | | | | (4499) $false
% 195.62/31.01 | | | | | | | | | | | | | | | | | | |
% 195.62/31.01 | | | | | | | | | | | | | | | | | | | CLOSE: (4499) is inconsistent.
% 195.62/31.01 | | | | | | | | | | | | | | | | | | |
% 195.62/31.01 | | | | | | | | | | | | | | | | | | Case 2:
% 195.62/31.01 | | | | | | | | | | | | | | | | | | |
% 195.62/31.01 | | | | | | | | | | | | | | | | | | | (4500) ~ (all_54_15 = e3)
% 195.62/31.01 | | | | | | | | | | | | | | | | | | | (4501) all_54_15 = e2 | all_54_15 = e1 | all_54_15 = e0
% 195.62/31.01 | | | | | | | | | | | | | | | | | | |
% 195.62/31.01 | | | | | | | | | | | | | | | | | | | BETA: splitting (4501) gives:
% 195.62/31.01 | | | | | | | | | | | | | | | | | | |
% 195.62/31.01 | | | | | | | | | | | | | | | | | | | Case 1:
% 195.62/31.01 | | | | | | | | | | | | | | | | | | | |
% 195.62/31.01 | | | | | | | | | | | | | | | | | | | | (4502) all_54_15 = e2
% 195.62/31.01 | | | | | | | | | | | | | | | | | | | |
% 195.62/31.01 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (246), (4502) imply:
% 195.62/31.01 | | | | | | | | | | | | | | | | | | | | (4503) all_10_2 = e2
% 195.62/31.01 | | | | | | | | | | | | | | | | | | | |
% 195.62/31.01 | | | | | | | | | | | | | | | | | | | | REDUCE: (4382), (4503) imply:
% 195.62/31.01 | | | | | | | | | | | | | | | | | | | | (4504) $false
% 195.62/31.01 | | | | | | | | | | | | | | | | | | | |
% 195.62/31.01 | | | | | | | | | | | | | | | | | | | | CLOSE: (4504) is inconsistent.
% 195.62/31.01 | | | | | | | | | | | | | | | | | | | |
% 195.62/31.01 | | | | | | | | | | | | | | | | | | | Case 2:
% 195.62/31.01 | | | | | | | | | | | | | | | | | | | |
% 195.62/31.01 | | | | | | | | | | | | | | | | | | | | (4505) ~ (all_54_15 = e2)
% 195.62/31.01 | | | | | | | | | | | | | | | | | | | | (4506) all_54_15 = e1 | all_54_15 = e0
% 195.62/31.01 | | | | | | | | | | | | | | | | | | | |
% 195.62/31.01 | | | | | | | | | | | | | | | | | | | | BETA: splitting (4506) gives:
% 195.62/31.01 | | | | | | | | | | | | | | | | | | | |
% 195.62/31.01 | | | | | | | | | | | | | | | | | | | | Case 1:
% 195.62/31.01 | | | | | | | | | | | | | | | | | | | | |
% 195.62/31.01 | | | | | | | | | | | | | | | | | | | | | (4507) all_54_15 = e1
% 195.62/31.01 | | | | | | | | | | | | | | | | | | | | |
% 195.62/31.01 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (246), (4507) imply:
% 195.62/31.01 | | | | | | | | | | | | | | | | | | | | | (4508) all_10_2 = e1
% 195.62/31.01 | | | | | | | | | | | | | | | | | | | | |
% 195.62/31.01 | | | | | | | | | | | | | | | | | | | | | REDUCE: (4496), (4508) imply:
% 195.62/31.01 | | | | | | | | | | | | | | | | | | | | | (4509) $false
% 195.62/31.01 | | | | | | | | | | | | | | | | | | | | |
% 195.62/31.01 | | | | | | | | | | | | | | | | | | | | | CLOSE: (4509) is inconsistent.
% 195.62/31.01 | | | | | | | | | | | | | | | | | | | | |
% 195.62/31.01 | | | | | | | | | | | | | | | | | | | | Case 2:
% 195.62/31.01 | | | | | | | | | | | | | | | | | | | | |
% 195.62/31.01 | | | | | | | | | | | | | | | | | | | | | (4510) all_54_15 = e0
% 195.62/31.01 | | | | | | | | | | | | | | | | | | | | |
% 195.62/31.01 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (246), (4510) imply:
% 195.62/31.01 | | | | | | | | | | | | | | | | | | | | | (4511) all_10_2 = e0
% 195.62/31.01 | | | | | | | | | | | | | | | | | | | | |
% 195.62/31.01 | | | | | | | | | | | | | | | | | | | | | REDUCE: (361), (4511) imply:
% 195.62/31.01 | | | | | | | | | | | | | | | | | | | | | (4512) ~ (all_52_7 = e0)
% 195.62/31.01 | | | | | | | | | | | | | | | | | | | | |
% 195.62/31.01 | | | | | | | | | | | | | | | | | | | | | REDUCE: (370), (4511) imply:
% 195.62/31.01 | | | | | | | | | | | | | | | | | | | | | (4513) ~ (all_52_13 = e0)
% 195.62/31.01 | | | | | | | | | | | | | | | | | | | | |
% 195.62/31.01 | | | | | | | | | | | | | | | | | | | | | REDUCE: (376), (4511) imply:
% 195.62/31.01 | | | | | | | | | | | | | | | | | | | | | (4514) ~ (e3 = e0)
% 195.62/31.01 | | | | | | | | | | | | | | | | | | | | |
% 195.62/31.01 | | | | | | | | | | | | | | | | | | | | | REDUCE: (4382), (4511) imply:
% 195.62/31.01 | | | | | | | | | | | | | | | | | | | | | (4515) ~ (e2 = e0)
% 195.62/31.01 | | | | | | | | | | | | | | | | | | | | |
% 195.62/31.01 | | | | | | | | | | | | | | | | | | | | | REDUCE: (4496), (4511) imply:
% 195.62/31.01 | | | | | | | | | | | | | | | | | | | | | (4516) ~ (e1 = e0)
% 195.62/31.01 | | | | | | | | | | | | | | | | | | | | |
% 195.62/31.01 | | | | | | | | | | | | | | | | | | | | | REDUCE: (45), (4511) imply:
% 195.62/31.01 | | | | | | | | | | | | | | | | | | | | | (4517) op(e0, e0) = e0
% 195.62/31.01 | | | | | | | | | | | | | | | | | | | | |
% 195.62/31.01 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (226) gives:
% 195.62/31.01 | | | | | | | | | | | | | | | | | | | | |
% 195.62/31.01 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 195.62/31.01 | | | | | | | | | | | | | | | | | | | | | |
% 195.62/31.01 | | | | | | | | | | | | | | | | | | | | | | (4518) (all_56_1 = e1 & op(e3, e2) = e1) | (all_56_3 = e1
% 195.62/31.01 | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1)
% 195.62/31.01 | | | | | | | | | | | | | | | | | | | | | |
% 195.62/31.01 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4518) gives:
% 195.62/31.01 | | | | | | | | | | | | | | | | | | | | | |
% 195.62/31.01 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 195.62/31.01 | | | | | | | | | | | | | | | | | | | | | | |
% 195.62/31.01 | | | | | | | | | | | | | | | | | | | | | | | (4519) all_56_1 = e1 & op(e3, e2) = e1
% 195.62/31.01 | | | | | | | | | | | | | | | | | | | | | | |
% 195.62/31.01 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4519) implies:
% 195.62/31.01 | | | | | | | | | | | | | | | | | | | | | | | (4520) all_56_1 = e1
% 195.62/31.01 | | | | | | | | | | | | | | | | | | | | | | |
% 195.62/31.01 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (230), (234), (236),
% 195.62/31.01 | | | | | | | | | | | | | | | | | | | | | | | (4362), (4471), (4520), (function-axioms) are
% 195.62/31.01 | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1149.
% 195.62/31.01 | | | | | | | | | | | | | | | | | | | | | | |
% 195.62/31.01 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 195.62/31.01 | | | | | | | | | | | | | | | | | | | | | | |
% 195.62/31.01 | | | | | | | | | | | | | | | | | | | | | | | (4521) all_56_3 = e1 & op(e2, e2) = e1
% 195.62/31.01 | | | | | | | | | | | | | | | | | | | | | | |
% 195.62/31.01 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4521) implies:
% 195.62/31.01 | | | | | | | | | | | | | | | | | | | | | | | (4522) op(e2, e2) = e1
% 195.62/31.01 | | | | | | | | | | | | | | | | | | | | | | |
% 195.62/31.01 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (3900), (4522), (function-axioms) are
% 195.62/31.01 | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1684.
% 195.62/31.01 | | | | | | | | | | | | | | | | | | | | | | |
% 195.62/31.01 | | | | | | | | | | | | | | | | | | | | | | End of split
% 195.62/31.01 | | | | | | | | | | | | | | | | | | | | | |
% 195.62/31.01 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 195.62/31.01 | | | | | | | | | | | | | | | | | | | | | |
% 195.62/31.01 | | | | | | | | | | | | | | | | | | | | | | (4523) (all_56_7 = e1 & op(e1, e2) = e1) | (all_56_13 =
% 195.62/31.01 | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e2) = e1)
% 195.62/31.01 | | | | | | | | | | | | | | | | | | | | | |
% 195.62/31.01 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4523) gives:
% 195.62/31.01 | | | | | | | | | | | | | | | | | | | | | |
% 195.62/31.01 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 195.62/31.01 | | | | | | | | | | | | | | | | | | | | | | |
% 195.62/31.01 | | | | | | | | | | | | | | | | | | | | | | | (4524) all_56_7 = e1 & op(e1, e2) = e1
% 195.62/31.01 | | | | | | | | | | | | | | | | | | | | | | |
% 195.62/31.01 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4524) implies:
% 195.62/31.01 | | | | | | | | | | | | | | | | | | | | | | | (4525) all_56_7 = e1
% 195.62/31.01 | | | | | | | | | | | | | | | | | | | | | | | (4526) op(e1, e2) = e1
% 195.62/31.01 | | | | | | | | | | | | | | | | | | | | | | |
% 195.62/31.01 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (213) gives:
% 195.62/31.01 | | | | | | | | | | | | | | | | | | | | | | |
% 195.62/31.01 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 195.62/31.01 | | | | | | | | | | | | | | | | | | | | | | | |
% 195.62/31.01 | | | | | | | | | | | | | | | | | | | | | | | | (4527) (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_7 = e0
% 195.62/31.01 | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e0)
% 195.62/31.01 | | | | | | | | | | | | | | | | | | | | | | | |
% 195.62/31.01 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4527) gives:
% 195.62/31.01 | | | | | | | | | | | | | | | | | | | | | | | |
% 195.62/31.01 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 195.62/31.01 | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.62/31.01 | | | | | | | | | | | | | | | | | | | | | | | | | (4528) all_56_6 = e0 & op(e1, e3) = e0
% 195.62/31.01 | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.62/31.01 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4528) implies:
% 195.62/31.01 | | | | | | | | | | | | | | | | | | | | | | | | | (4529) all_56_6 = e0
% 195.62/31.01 | | | | | | | | | | | | | | | | | | | | | | | | | (4530) op(e1, e3) = e0
% 195.62/31.01 | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.62/31.01 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (233) gives:
% 195.62/31.01 | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.62/31.01 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 195.62/31.01 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.62/31.01 | | | | | | | | | | | | | | | | | | | | | | | | | | (4531) (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2
% 195.62/31.01 | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e2)
% 195.62/31.01 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.62/31.01 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4531) gives:
% 195.62/31.01 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.62/31.01 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 195.62/31.01 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.62/31.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | (4532) all_56_0 = e2 & op(e3, e3) = e2
% 195.62/31.01 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.62/31.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4532) implies:
% 195.62/31.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | (4533) op(e3, e3) = e2
% 195.62/31.01 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.62/31.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (4362), (4533), (function-axioms) are
% 195.62/31.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1966.
% 195.62/31.01 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.62/31.01 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 195.62/31.01 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.62/31.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | (4534) all_56_2 = e2 & op(e2, e3) = e2
% 195.62/31.01 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.62/31.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4534) implies:
% 195.62/31.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | (4535) all_56_2 = e2
% 195.62/31.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | (4536) op(e2, e3) = e2
% 195.62/31.01 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.62/31.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (225) gives:
% 195.62/31.01 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.62/31.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 195.62/31.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.62/31.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4537) (all_56_1 = e0 & op(e3, e2) = e0) | (all_56_3 = e0
% 195.62/31.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e0)
% 195.62/31.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.62/31.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4537) gives:
% 195.62/31.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.62/31.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 195.62/31.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.62/31.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4538) all_56_1 = e0 & op(e3, e2) = e0
% 195.62/31.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.62/31.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4538) implies:
% 195.62/31.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4539) all_56_1 = e0
% 195.62/31.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.62/31.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (221) gives:
% 195.62/31.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.62/31.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 195.62/31.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.62/31.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4540) (all_56_2 = e0 & op(e2, e3) = e0) | (all_56_3 = e0
% 195.62/31.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e0)
% 195.62/31.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.62/31.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4540) gives:
% 195.62/31.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.62/31.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 195.62/31.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.62/31.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4541) all_56_2 = e0 & op(e2, e3) = e0
% 195.62/31.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.62/31.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (4535), (4541) are inconsistent by sub-proof
% 195.62/31.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1548.
% 195.62/31.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.62/31.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 195.62/31.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.62/31.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4542) all_56_3 = e0 & op(e2, e2) = e0
% 195.62/31.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.62/31.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4542) implies:
% 195.62/31.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4543) op(e2, e2) = e0
% 195.62/31.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.62/31.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (226), (227), (228),
% 195.62/31.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4539), (4543), (function-axioms) are inconsistent
% 195.62/31.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1496.
% 195.62/31.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.62/31.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 195.62/31.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.62/31.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 195.62/31.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.62/31.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4544) (all_56_5 = e0 & op(e2, e1) = e0) | (all_56_10 =
% 195.62/31.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0)
% 195.62/31.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.62/31.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4544) gives:
% 195.62/31.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.62/31.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 195.62/31.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.62/31.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4545) all_56_5 = e0 & op(e2, e1) = e0
% 195.62/31.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.62/31.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4545) implies:
% 195.62/31.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4546) all_56_5 = e0
% 195.62/31.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.62/31.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (227) gives:
% 195.62/31.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.62/31.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 195.62/31.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.62/31.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4547) (all_56_1 = e2 & op(e3, e2) = e2) | (all_56_3 = e2
% 195.62/31.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e2)
% 195.62/31.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.62/31.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (9), (3900), (4539), (4547),
% 195.62/31.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 195.62/31.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1665.
% 195.62/31.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.62/31.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 195.62/31.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.62/31.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4548) (all_56_7 = e2 & op(e1, e2) = e2) | (all_56_13 =
% 195.62/31.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e2)
% 195.62/31.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.62/31.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4548) gives:
% 195.62/31.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.62/31.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 195.62/31.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.62/31.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4549) all_56_7 = e2 & op(e1, e2) = e2
% 195.62/31.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.62/31.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4549) implies:
% 195.62/31.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4550) op(e1, e2) = e2
% 195.62/31.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.62/31.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (4526), (4550), (function-axioms) are
% 195.62/31.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1426.
% 195.62/31.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.62/31.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 195.62/31.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.62/31.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4551) all_56_13 = e2 & op(e0, e2) = e2
% 195.62/31.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.62/31.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4551) implies:
% 195.62/31.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4552) all_56_13 = e2
% 195.62/31.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.62/31.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (207) gives:
% 195.62/31.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.62/31.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 195.62/31.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.62/31.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4553) (all_56_12 = e1 & op(e0, e3) = e1) | (all_56_13 =
% 195.62/31.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e2) = e1)
% 195.62/31.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.62/31.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4553) gives:
% 195.62/31.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.62/31.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 195.62/31.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.62/31.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4554) all_56_12 = e1 & op(e0, e3) = e1
% 195.62/31.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.62/31.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4554) implies:
% 195.62/31.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4555) all_56_12 = e1
% 195.62/31.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.62/31.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (8), (9), (229), (235), (4362),
% 195.62/31.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4535), (4555), (function-axioms) are inconsistent
% 195.62/31.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1546.
% 195.62/31.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.62/31.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 195.62/31.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.62/31.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4556) all_56_13 = e1 & op(e0, e2) = e1
% 195.62/31.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.62/31.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4556) implies:
% 195.62/31.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4557) all_56_13 = e1
% 195.62/31.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4558) op(e0, e2) = e1
% 195.62/31.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.62/31.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (45), (157), (158),
% 195.62/31.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (160), (162), (163), (165), (169), (170), (208),
% 195.62/31.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (210), (211), (212), (214), (217), (218), (219),
% 195.62/31.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (220), (225), (230), (234), (236), (238), (246),
% 195.62/31.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (376), (3892), (3896), (3900), (3919), (4357),
% 195.62/31.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4360), (4362), (4366), (4382), (4458), (4459),
% 195.62/31.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4463), (4465), (4472), (4480), (4481), (4488),
% 195.62/31.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4489), (4490), (4492), (4496), (4506), (4517),
% 195.62/31.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4557), (4558), (function-axioms) are inconsistent
% 195.62/31.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1102.
% 195.62/31.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.62/31.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 195.62/31.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.62/31.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 195.62/31.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.62/31.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4559) (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 =
% 195.62/31.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = e1)
% 195.62/31.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.62/31.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4559) gives:
% 195.62/31.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.62/31.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 195.62/31.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.62/31.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4560) all_56_14 = e1 & op(e0, e1) = e1
% 195.62/31.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.62/31.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (234) gives:
% 195.62/31.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.62/31.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 195.62/31.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.62/31.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4561) (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_1 = e2
% 195.62/31.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e2)
% 195.62/31.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (4362), (4539), (4561),
% 195.98/31.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 195.98/31.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1101.
% 195.98/31.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 195.98/31.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4562) (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_9 = e2
% 195.98/31.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e2)
% 195.98/31.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4562) gives:
% 195.98/31.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 195.98/31.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4563) all_56_4 = e2 & op(e3, e1) = e2
% 195.98/31.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4563) implies:
% 195.98/31.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4564) op(e3, e1) = e2
% 195.98/31.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (222) gives:
% 195.98/31.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 195.98/31.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4565) (all_56_2 = e1 & op(e2, e3) = e1) | (all_56_3 = e1
% 195.98/31.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1)
% 195.98/31.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4565) gives:
% 195.98/31.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 195.98/31.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4566) all_56_2 = e1 & op(e2, e3) = e1
% 195.98/31.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4566) implies:
% 195.98/31.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4567) all_56_2 = e1
% 195.98/31.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (7), (8), (9), (233), (235), (4362),
% 195.98/31.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4529), (4567), (function-axioms) are inconsistent
% 195.98/31.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1737.
% 195.98/31.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 195.98/31.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4568) all_56_3 = e1 & op(e2, e2) = e1
% 195.98/31.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4568) implies:
% 195.98/31.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4569) op(e2, e2) = e1
% 195.98/31.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (3900), (4569), (function-axioms) are
% 195.98/31.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1684.
% 195.98/31.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 195.98/31.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 195.98/31.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4570) (all_56_5 = e1 & op(e2, e1) = e1) | (all_56_10 =
% 195.98/31.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e2, e0) = e1)
% 195.98/31.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4570) gives:
% 195.98/31.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 195.98/31.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4571) all_56_5 = e1 & op(e2, e1) = e1
% 195.98/31.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4571) implies:
% 195.98/31.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4572) all_56_5 = e1
% 195.98/31.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4546), (4572) imply:
% 195.98/31.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4573) e1 = e0
% 195.98/31.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (8), (226), (3900), (4525), (4539),
% 195.98/31.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4552), (4573), (function-axioms) are inconsistent
% 195.98/31.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1100.
% 195.98/31.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 195.98/31.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4574) all_56_10 = e1 & op(e2, e0) = e1
% 195.98/31.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4574) implies:
% 195.98/31.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4575) all_56_10 = e1
% 195.98/31.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (211) gives:
% 195.98/31.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 195.98/31.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4576) (all_56_9 = e2 & op(e3, e0) = e2) | (all_56_10 =
% 195.98/31.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2)
% 195.98/31.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4576) gives:
% 195.98/31.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 195.98/31.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4577) all_56_9 = e2 & op(e3, e0) = e2
% 195.98/31.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4577) implies:
% 195.98/31.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4578) op(e3, e0) = e2
% 195.98/31.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (4472), (4578), (function-axioms) are
% 195.98/31.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1726.
% 195.98/31.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 195.98/31.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4579) all_56_10 = e2 & op(e2, e0) = e2
% 195.98/31.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4579) implies:
% 195.98/31.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4580) all_56_10 = e2
% 195.98/31.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4575), (4580) imply:
% 195.98/31.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4581) e2 = e1
% 195.98/31.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4581) implies:
% 195.98/31.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4582) e2 = e1
% 195.98/31.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4535), (4582) imply:
% 195.98/31.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4583) all_56_2 = e1
% 195.98/31.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (7), (8), (9), (233), (235), (4362),
% 195.98/31.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4529), (4583), (function-axioms) are inconsistent
% 195.98/31.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1737.
% 195.98/31.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 195.98/31.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 195.98/31.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4584) (all_56_11 = e2 & op(e1, e0) = e2) | (all_56_15 =
% 195.98/31.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = e2)
% 195.98/31.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4584) gives:
% 195.98/31.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 195.98/31.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4585) all_56_11 = e2 & op(e1, e0) = e2
% 195.98/31.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4551) implies:
% 195.98/31.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4586) op(e0, e2) = e2
% 195.98/31.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4560) implies:
% 195.98/31.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4587) op(e0, e1) = e1
% 195.98/31.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4585) implies:
% 195.98/31.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4588) op(e1, e0) = e2
% 195.98/31.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4538) implies:
% 195.98/31.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4589) op(e3, e2) = e0
% 195.98/31.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4545) implies:
% 195.98/31.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4590) op(e2, e1) = e0
% 195.98/31.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_11,
% 195.98/31.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1, e1, e0, simplifying with (157), (4587) gives:
% 195.98/31.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4591) all_52_11 = e1
% 195.98/31.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_7, e2,
% 195.98/31.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2, e0, simplifying with (158), (4586) gives:
% 195.98/31.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4592) all_52_7 = e2
% 195.98/31.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_14,
% 195.98/31.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2, e0, e1, simplifying with (160), (4588) gives:
% 195.98/31.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4593) all_52_14 = e2
% 195.98/31.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_28_1, e0,
% 195.98/31.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3, e1, simplifying with (4353), (4530) gives:
% 195.98/31.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4594) all_28_1 = e0
% 195.98/31.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_9, e0,
% 195.98/31.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1, e2, simplifying with (165), (4590) gives:
% 195.98/31.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4595) all_52_9 = e0
% 195.98/31.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_1, e2,
% 195.98/31.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3, e2, simplifying with (167), (4536) gives:
% 195.98/31.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4596) all_52_1 = e2
% 195.98/31.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_32_1, e2,
% 195.98/31.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1, e3, simplifying with (4458), (4564) gives:
% 195.98/31.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4597) all_32_1 = e2
% 195.98/31.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_16_1, e0,
% 195.98/31.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2, e3, simplifying with (3892), (4589) gives:
% 195.98/31.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4598) all_16_1 = e0
% 195.98/31.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4371), (4594) imply:
% 195.98/31.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4599) all_36_1 = e0
% 195.98/31.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4487), (4597) imply:
% 195.98/31.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4600) all_50_1 = e2
% 195.98/31.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (238) gives:
% 195.98/31.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 195.98/31.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4601) (all_57_3 = e3 & ~ (all_57_1 = e2) & ~ (all_57_8
% 195.98/31.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_10 = e2) & ~ (all_57_12 =
% 195.98/31.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_14 = e0) & op(e3, e3) =
% 195.98/31.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e2) = e3 & op(e2, all_57_9) =
% 195.98/31.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_8 & op(e2, all_57_11) = all_57_10 &
% 195.98/31.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_13) = all_57_12 & op(e2,
% 195.98/31.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15) = all_57_14 & op(e2, e3) = all_57_9
% 195.98/31.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = all_57_11 & op(e2, e1) =
% 195.98/31.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_13 & op(e2, e0) = all_57_15 &
% 195.98/31.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_8) & $i(all_57_9) &
% 195.98/31.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & $i(all_57_11) & $i(all_57_12) &
% 195.98/31.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13) & $i(all_57_14) & $i(all_57_15)) |
% 195.98/31.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_5 = e3 & ~ (all_57_1 = e1) & ~
% 195.98/31.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_16 = e3) & ~ (all_57_18 = e2) & ~
% 195.98/31.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_22 = e0) & op(e3,
% 195.98/31.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_1 & op(e3, e1) = e3 & op(e1,
% 195.98/31.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17) = all_57_16 & op(e1, all_57_19) =
% 195.98/31.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_18 & op(e1, all_57_21) = all_57_20 &
% 195.98/31.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_23) = all_57_22 & op(e1, e3) =
% 195.98/31.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e1, e2) = all_57_19 & op(e1, e1)
% 195.98/31.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_21 & op(e1, e0) = all_57_23 &
% 195.98/31.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_16) & $i(all_57_17) &
% 195.98/31.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_19) & $i(all_57_20) &
% 195.98/31.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_22) & $i(all_57_23)) |
% 195.98/31.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_7 = e3 & ~ (all_57_1 = e0) & ~
% 195.98/31.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 195.98/31.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) & op(e3,
% 195.98/31.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_1 & op(e3, e0) = e3 & op(e0,
% 195.98/31.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25) = all_57_24 & op(e0, all_57_27) =
% 195.98/31.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e0, all_57_29) = all_57_28 &
% 195.98/31.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_31) = all_57_30 & op(e0, e3) =
% 195.98/31.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_27 & op(e0, e1)
% 195.98/31.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_29 & op(e0, e0) = all_57_31 &
% 195.98/31.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_24) & $i(all_57_25) &
% 195.98/31.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_27) & $i(all_57_28) &
% 195.98/31.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29) & $i(all_57_30) & $i(all_57_31)) |
% 195.98/31.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e2 & ~ (all_57_0 = e3) & ~ (all_57_2
% 195.98/31.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2) & ~ (all_57_4 = e1) & ~ (all_57_6 =
% 195.98/31.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_11 = e3) & op(e3, all_57_1) =
% 195.98/31.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_0 & op(e3, all_57_3) = all_57_2 & op(e3,
% 195.98/31.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_5) = all_57_4 & op(e3, all_57_7) =
% 195.98/31.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_6 & op(e3, e3) = all_57_1 & op(e3, e2) =
% 195.98/31.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 & op(e3, e1) = all_57_5 & op(e3, e0) =
% 195.98/31.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7 & op(e2, e3) = e2 & op(e2, e2) =
% 195.98/31.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_11 & $i(all_57_0) & $i(all_57_1) &
% 195.98/31.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_2) & $i(all_57_3) & $i(all_57_4) &
% 195.98/31.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 195.98/31.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11))
% 195.98/31.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4601) gives:
% 195.98/31.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 195.98/31.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4602) (all_57_3 = e3 & ~ (all_57_1 = e2) & ~ (all_57_8
% 195.98/31.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_10 = e2) & ~ (all_57_12 =
% 195.98/31.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_14 = e0) & op(e3, e3) =
% 195.98/31.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e2) = e3 & op(e2, all_57_9) =
% 195.98/31.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_8 & op(e2, all_57_11) = all_57_10 &
% 195.98/31.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_13) = all_57_12 & op(e2,
% 195.98/31.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15) = all_57_14 & op(e2, e3) = all_57_9
% 195.98/31.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = all_57_11 & op(e2, e1) =
% 195.98/31.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_13 & op(e2, e0) = all_57_15 &
% 195.98/31.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_8) & $i(all_57_9) &
% 195.98/31.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & $i(all_57_11) & $i(all_57_12) &
% 195.98/31.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13) & $i(all_57_14) & $i(all_57_15)) |
% 195.98/31.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_5 = e3 & ~ (all_57_1 = e1) & ~
% 195.98/31.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_16 = e3) & ~ (all_57_18 = e2) & ~
% 195.98/31.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_22 = e0) & op(e3,
% 195.98/31.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_1 & op(e3, e1) = e3 & op(e1,
% 195.98/31.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17) = all_57_16 & op(e1, all_57_19) =
% 195.98/31.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_18 & op(e1, all_57_21) = all_57_20 &
% 195.98/31.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_23) = all_57_22 & op(e1, e3) =
% 195.98/31.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e1, e2) = all_57_19 & op(e1, e1)
% 195.98/31.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_21 & op(e1, e0) = all_57_23 &
% 195.98/31.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_16) & $i(all_57_17) &
% 195.98/31.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_19) & $i(all_57_20) &
% 195.98/31.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_22) & $i(all_57_23))
% 195.98/31.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (170), (3896), (4362), (4602), (function-axioms)
% 195.98/31.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1606.
% 195.98/31.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 195.98/31.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4603) (all_57_7 = e3 & ~ (all_57_1 = e0) & ~
% 195.98/31.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 195.98/31.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) & op(e3,
% 195.98/31.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_1 & op(e3, e0) = e3 & op(e0,
% 195.98/31.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25) = all_57_24 & op(e0, all_57_27) =
% 195.98/31.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e0, all_57_29) = all_57_28 &
% 195.98/31.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_31) = all_57_30 & op(e0, e3) =
% 195.98/31.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_27 & op(e0, e1)
% 195.98/31.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_29 & op(e0, e0) = all_57_31 &
% 195.98/31.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_24) & $i(all_57_25) &
% 195.98/31.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_27) & $i(all_57_28) &
% 195.98/31.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29) & $i(all_57_30) & $i(all_57_31)) |
% 195.98/31.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e2 & ~ (all_57_0 = e3) & ~ (all_57_2
% 195.98/31.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2) & ~ (all_57_4 = e1) & ~ (all_57_6 =
% 195.98/31.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_11 = e3) & op(e3, all_57_1) =
% 195.98/31.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_0 & op(e3, all_57_3) = all_57_2 & op(e3,
% 195.98/31.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_5) = all_57_4 & op(e3, all_57_7) =
% 195.98/31.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_6 & op(e3, e3) = all_57_1 & op(e3, e2) =
% 195.98/31.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 & op(e3, e1) = all_57_5 & op(e3, e0) =
% 195.98/31.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7 & op(e2, e3) = e2 & op(e2, e2) =
% 195.98/31.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_11 & $i(all_57_0) & $i(all_57_1) &
% 195.98/31.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_2) & $i(all_57_3) & $i(all_57_4) &
% 195.98/31.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 195.98/31.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11))
% 195.98/31.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4603) gives:
% 195.98/31.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 195.98/31.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4604) all_57_7 = e3 & ~ (all_57_1 = e0) & ~ (all_57_24
% 195.98/31.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_26 = e2) & ~ (all_57_28 =
% 195.98/31.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_30 = e0) & op(e3, e3) =
% 195.98/31.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e0) = e3 & op(e0, all_57_25) =
% 195.98/31.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_24 & op(e0, all_57_27) = all_57_26 & op(e0,
% 195.98/31.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_29) = all_57_28 & op(e0, all_57_31) =
% 195.98/31.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30 & op(e0, e3) = all_57_25 & op(e0, e2) =
% 195.98/31.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27 & op(e0, e1) = all_57_29 & op(e0, e0) =
% 195.98/31.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_31 & $i(all_57_1) & $i(all_57_24) &
% 195.98/31.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_25) & $i(all_57_26) & $i(all_57_27) &
% 195.98/31.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28) & $i(all_57_29) & $i(all_57_30) &
% 195.98/31.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_31)
% 195.98/31.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4604) implies:
% 195.98/31.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4605) ~ (all_57_28 = e1)
% 195.98/31.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4606) op(e0, e1) = all_57_29
% 195.98/31.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4607) op(e0, all_57_29) = all_57_28
% 195.98/31.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4587), (4605), (4606), (4607), (function-axioms)
% 195.98/31.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1856.
% 195.98/31.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 195.98/31.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4608) all_57_9 = e2 & ~ (all_57_0 = e3) & ~ (all_57_2
% 195.98/31.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2) & ~ (all_57_4 = e1) & ~ (all_57_6 = e0)
% 195.98/31.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_11 = e3) & op(e3, all_57_1) =
% 195.98/31.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_0 & op(e3, all_57_3) = all_57_2 & op(e3,
% 195.98/31.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_5) = all_57_4 & op(e3, all_57_7) =
% 195.98/31.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_6 & op(e3, e3) = all_57_1 & op(e3, e2) =
% 195.98/31.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 & op(e3, e1) = all_57_5 & op(e3, e0) =
% 195.98/31.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7 & op(e2, e3) = e2 & op(e2, e2) =
% 195.98/31.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_11 & $i(all_57_0) & $i(all_57_1) &
% 195.98/31.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_2) & $i(all_57_3) & $i(all_57_4) &
% 195.98/31.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 195.98/31.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11)
% 195.98/31.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (3900), (4608), (function-axioms) are inconsistent
% 195.98/31.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1196.
% 195.98/31.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 195.98/31.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 195.98/31.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 195.98/31.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4609) (all_57_13 = e2 & ~ (all_57_11 = e1) & ~
% 195.98/31.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_16 = e3) & ~ (all_57_18 = e2) & ~
% 195.98/31.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_22 = e0) & op(e2,
% 195.98/31.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_11 & op(e2, e1) = e2 & op(e1,
% 195.98/31.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17) = all_57_16 & op(e1, all_57_19) =
% 195.98/31.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_18 & op(e1, all_57_21) = all_57_20 &
% 195.98/31.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_23) = all_57_22 & op(e1, e3) =
% 195.98/31.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e1, e2) = all_57_19 & op(e1, e1)
% 195.98/31.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_21 & op(e1, e0) = all_57_23 &
% 195.98/31.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_16) & $i(all_57_17) &
% 195.98/31.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_19) & $i(all_57_20) &
% 195.98/31.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_22) & $i(all_57_23)) |
% 195.98/31.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e2 & ~ (all_57_11 = e0) & ~
% 195.98/31.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 195.98/31.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) & op(e2,
% 195.98/31.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_11 & op(e2, e0) = e2 & op(e0,
% 195.98/31.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25) = all_57_24 & op(e0, all_57_27) =
% 195.98/31.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e0, all_57_29) = all_57_28 &
% 195.98/31.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_31) = all_57_30 & op(e0, e3) =
% 195.98/31.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_27 & op(e0, e1)
% 195.98/31.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_29 & op(e0, e0) = all_57_31 &
% 195.98/31.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_24) & $i(all_57_25) &
% 195.98/31.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_27) & $i(all_57_28) &
% 195.98/31.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29) & $i(all_57_30) & $i(all_57_31)) |
% 195.98/31.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_17 = e1 & ~ (all_57_0 = e3) & ~
% 195.98/31.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e2) & ~ (all_57_4 = e1) & ~
% 195.98/31.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_6 = e0) & ~ (all_57_21 = e3) & op(e3,
% 195.98/31.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1) = all_57_0 & op(e3, all_57_3) =
% 195.98/31.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_2 & op(e3, all_57_5) = all_57_4 & op(e3,
% 195.98/31.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7) = all_57_6 & op(e3, e3) = all_57_1 &
% 195.98/31.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_3 & op(e3, e1) = all_57_5 &
% 195.98/31.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_7 & op(e1, e3) = e1 & op(e1,
% 195.98/31.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_21 & $i(all_57_0) & $i(all_57_1)
% 195.98/31.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_2) & $i(all_57_3) & $i(all_57_4) &
% 195.98/31.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 195.98/31.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21)) | (all_57_19 = e1 & ~ (all_57_8
% 195.98/31.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_10 = e2) & ~ (all_57_12 =
% 195.98/31.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_14 = e0) & ~ (all_57_21 =
% 195.98/31.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & op(e2, all_57_9) = all_57_8 & op(e2,
% 195.98/31.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_11) = all_57_10 & op(e2, all_57_13) =
% 195.98/31.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & op(e2, all_57_15) = all_57_14 &
% 195.98/31.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_9 & op(e2, e2) = all_57_11 &
% 195.98/31.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_57_13 & op(e2, e0) = all_57_15
% 195.98/31.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e1 & op(e1, e1) = all_57_21 &
% 195.98/31.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8) & $i(all_57_9) & $i(all_57_10) &
% 195.98/31.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_12) & $i(all_57_13) &
% 195.98/31.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & $i(all_57_15) & $i(all_57_21)) |
% 195.98/31.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (op(e0, e0) = all_57_31 & $i(all_57_31) &
% 195.98/31.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_23 = e1 & ~ (all_57_21 = e0) & ~
% 195.98/31.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 195.98/31.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) &
% 195.98/31.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_21 & op(e1, e0) = e1 &
% 195.98/31.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_25) = all_57_24 & op(e0,
% 195.98/31.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27) = all_57_26 & op(e0, all_57_29)
% 195.98/31.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_28 & op(e0, all_57_31) = all_57_30
% 195.98/31.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e3) = all_57_25 & op(e0, e2) =
% 195.98/31.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27 & op(e0, e1) = all_57_29 &
% 195.98/31.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_24) &
% 195.98/31.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_25) & $i(all_57_26) &
% 195.98/31.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27) & $i(all_57_28) &
% 195.98/31.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29) & $i(all_57_30)) | (all_57_25
% 195.98/31.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & ~ (all_57_0 = e3) & ~ (all_57_2 =
% 195.98/31.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_4 = e1) & ~ (all_57_6 =
% 195.98/31.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_31 = e3) & op(e3,
% 195.98/31.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1) = all_57_0 & op(e3, all_57_3) =
% 195.98/31.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_2 & op(e3, all_57_5) = all_57_4 &
% 195.98/31.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, all_57_7) = all_57_6 & op(e3, e3) =
% 195.98/31.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e2) = all_57_3 & op(e3,
% 195.98/31.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_5 & op(e3, e0) = all_57_7 &
% 195.98/31.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_0) &
% 195.98/31.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_2) & $i(all_57_3) &
% 195.98/31.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4) & $i(all_57_5) & $i(all_57_6) &
% 195.98/31.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7)) | (all_57_27 = e0 & ~
% 195.98/31.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e3) & ~ (all_57_10 = e2) & ~
% 195.98/31.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e1) & ~ (all_57_14 = e0) & ~
% 195.98/31.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e2) & op(e2, all_57_9) =
% 195.98/31.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_8 & op(e2, all_57_11) = all_57_10 &
% 195.98/31.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_13) = all_57_12 & op(e2,
% 195.98/31.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15) = all_57_14 & op(e2, e3) =
% 195.98/31.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_9 & op(e2, e2) = all_57_11 & op(e2,
% 195.98/31.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_13 & op(e2, e0) = all_57_15 &
% 195.98/31.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_8) &
% 195.98/31.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9) & $i(all_57_10) & $i(all_57_11)
% 195.98/31.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_12) & $i(all_57_13) &
% 195.98/31.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & $i(all_57_15)) | (all_57_29
% 195.98/31.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & ~ (all_57_16 = e3) & ~ (all_57_18 =
% 195.98/31.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_20 = e1) & ~ (all_57_22
% 195.98/31.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_31 = e1) & op(e1,
% 195.98/31.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17) = all_57_16 & op(e1, all_57_19)
% 195.98/31.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_18 & op(e1, all_57_21) = all_57_20
% 195.98/31.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, all_57_23) = all_57_22 & op(e1, e3)
% 195.98/31.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_17 & op(e1, e2) = all_57_19 &
% 195.98/31.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_21 & op(e1, e0) =
% 195.98/31.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23 & op(e0, e1) = e0 & $i(all_57_16)
% 195.98/31.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_17) & $i(all_57_18) &
% 195.98/31.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_20) &
% 195.98/31.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_22) &
% 195.98/31.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23))))
% 195.98/31.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4609) gives:
% 195.98/31.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 195.98/31.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4610) (all_57_13 = e2 & ~ (all_57_11 = e1) & ~
% 195.98/31.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_16 = e3) & ~ (all_57_18 = e2) & ~
% 195.98/31.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_22 = e0) & op(e2,
% 195.98/31.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_11 & op(e2, e1) = e2 & op(e1,
% 195.98/31.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17) = all_57_16 & op(e1, all_57_19) =
% 195.98/31.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_18 & op(e1, all_57_21) = all_57_20 &
% 195.98/31.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_23) = all_57_22 & op(e1, e3) =
% 195.98/31.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e1, e2) = all_57_19 & op(e1, e1)
% 195.98/31.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_21 & op(e1, e0) = all_57_23 &
% 195.98/31.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_16) & $i(all_57_17) &
% 195.98/31.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_19) & $i(all_57_20) &
% 195.98/31.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_22) & $i(all_57_23)) |
% 195.98/31.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e2 & ~ (all_57_11 = e0) & ~
% 195.98/31.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 195.98/31.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) & op(e2,
% 195.98/31.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_11 & op(e2, e0) = e2 & op(e0,
% 195.98/31.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25) = all_57_24 & op(e0, all_57_27) =
% 195.98/31.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e0, all_57_29) = all_57_28 &
% 195.98/31.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_31) = all_57_30 & op(e0, e3) =
% 195.98/31.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_27 & op(e0, e1)
% 195.98/31.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_29 & op(e0, e0) = all_57_31 &
% 195.98/31.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_24) & $i(all_57_25) &
% 195.98/31.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_27) & $i(all_57_28) &
% 195.98/31.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29) & $i(all_57_30) & $i(all_57_31))
% 195.98/31.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (4587), (4590), (4610), (function-axioms) are
% 195.98/31.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1851.
% 195.98/31.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 195.98/31.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4611) (all_57_17 = e1 & ~ (all_57_0 = e3) & ~
% 195.98/31.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e2) & ~ (all_57_4 = e1) & ~
% 195.98/31.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_6 = e0) & ~ (all_57_21 = e3) & op(e3,
% 195.98/31.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1) = all_57_0 & op(e3, all_57_3) =
% 195.98/31.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_2 & op(e3, all_57_5) = all_57_4 & op(e3,
% 195.98/31.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7) = all_57_6 & op(e3, e3) = all_57_1 &
% 195.98/31.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_3 & op(e3, e1) = all_57_5 &
% 195.98/31.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_7 & op(e1, e3) = e1 & op(e1,
% 195.98/31.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_21 & $i(all_57_0) & $i(all_57_1)
% 195.98/31.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_2) & $i(all_57_3) & $i(all_57_4) &
% 195.98/31.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 195.98/31.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21)) | (all_57_19 = e1 & ~ (all_57_8
% 195.98/31.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_10 = e2) & ~ (all_57_12 =
% 195.98/31.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_14 = e0) & ~ (all_57_21 =
% 195.98/31.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & op(e2, all_57_9) = all_57_8 & op(e2,
% 195.98/31.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_11) = all_57_10 & op(e2, all_57_13) =
% 195.98/31.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & op(e2, all_57_15) = all_57_14 &
% 195.98/31.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_9 & op(e2, e2) = all_57_11 &
% 195.98/31.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_57_13 & op(e2, e0) = all_57_15
% 195.98/31.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e1 & op(e1, e1) = all_57_21 &
% 195.98/31.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8) & $i(all_57_9) & $i(all_57_10) &
% 195.98/31.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_12) & $i(all_57_13) &
% 195.98/31.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & $i(all_57_15) & $i(all_57_21)) |
% 195.98/31.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (op(e0, e0) = all_57_31 & $i(all_57_31) &
% 195.98/31.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_23 = e1 & ~ (all_57_21 = e0) & ~
% 195.98/31.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 195.98/31.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) &
% 195.98/31.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_21 & op(e1, e0) = e1 &
% 195.98/31.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_25) = all_57_24 & op(e0,
% 195.98/31.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27) = all_57_26 & op(e0, all_57_29)
% 195.98/31.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_28 & op(e0, all_57_31) = all_57_30
% 195.98/31.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e3) = all_57_25 & op(e0, e2) =
% 195.98/31.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27 & op(e0, e1) = all_57_29 &
% 195.98/31.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_24) &
% 195.98/31.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_25) & $i(all_57_26) &
% 195.98/31.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27) & $i(all_57_28) &
% 195.98/31.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29) & $i(all_57_30)) | (all_57_25
% 195.98/31.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & ~ (all_57_0 = e3) & ~ (all_57_2 =
% 195.98/31.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_4 = e1) & ~ (all_57_6 =
% 195.98/31.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_31 = e3) & op(e3,
% 195.98/31.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1) = all_57_0 & op(e3, all_57_3) =
% 195.98/31.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_2 & op(e3, all_57_5) = all_57_4 &
% 195.98/31.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, all_57_7) = all_57_6 & op(e3, e3) =
% 195.98/31.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e2) = all_57_3 & op(e3,
% 195.98/31.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_5 & op(e3, e0) = all_57_7 &
% 195.98/31.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_0) &
% 195.98/31.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_2) & $i(all_57_3) &
% 195.98/31.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4) & $i(all_57_5) & $i(all_57_6) &
% 195.98/31.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7)) | (all_57_27 = e0 & ~
% 195.98/31.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e3) & ~ (all_57_10 = e2) & ~
% 195.98/31.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e1) & ~ (all_57_14 = e0) & ~
% 195.98/31.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e2) & op(e2, all_57_9) =
% 195.98/31.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_8 & op(e2, all_57_11) = all_57_10 &
% 195.98/31.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_13) = all_57_12 & op(e2,
% 195.98/31.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15) = all_57_14 & op(e2, e3) =
% 195.98/31.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_9 & op(e2, e2) = all_57_11 & op(e2,
% 195.98/31.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_13 & op(e2, e0) = all_57_15 &
% 195.98/31.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_8) &
% 195.98/31.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9) & $i(all_57_10) & $i(all_57_11)
% 195.98/31.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_12) & $i(all_57_13) &
% 195.98/31.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & $i(all_57_15)) | (all_57_29
% 195.98/31.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & ~ (all_57_16 = e3) & ~ (all_57_18 =
% 195.98/31.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_20 = e1) & ~ (all_57_22
% 195.98/31.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_31 = e1) & op(e1,
% 195.98/31.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17) = all_57_16 & op(e1, all_57_19)
% 195.98/31.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_18 & op(e1, all_57_21) = all_57_20
% 195.98/31.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, all_57_23) = all_57_22 & op(e1, e3)
% 195.98/31.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_17 & op(e1, e2) = all_57_19 &
% 195.98/31.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_21 & op(e1, e0) =
% 195.98/31.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23 & op(e0, e1) = e0 & $i(all_57_16)
% 195.98/31.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_17) & $i(all_57_18) &
% 195.98/31.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_20) &
% 195.98/31.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_22) &
% 195.98/31.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23))))
% 195.98/31.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4611) gives:
% 195.98/31.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 195.98/31.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4612) all_57_17 = e1 & ~ (all_57_0 = e3) & ~ (all_57_2
% 195.98/31.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2) & ~ (all_57_4 = e1) & ~ (all_57_6 = e0)
% 195.98/31.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_21 = e3) & op(e3, all_57_1) =
% 195.98/31.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_0 & op(e3, all_57_3) = all_57_2 & op(e3,
% 195.98/31.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_5) = all_57_4 & op(e3, all_57_7) =
% 195.98/31.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_6 & op(e3, e3) = all_57_1 & op(e3, e2) =
% 195.98/31.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 & op(e3, e1) = all_57_5 & op(e3, e0) =
% 195.98/31.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7 & op(e1, e3) = e1 & op(e1, e1) =
% 195.98/31.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_21 & $i(all_57_0) & $i(all_57_1) &
% 195.98/31.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_2) & $i(all_57_3) & $i(all_57_4) &
% 195.98/31.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 195.98/31.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21)
% 195.98/31.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4612) implies:
% 195.98/31.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4613) op(e1, e3) = e1
% 195.98/31.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (163), (4357), (4366), (4613), (function-axioms)
% 195.98/31.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1750.
% 195.98/31.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 195.98/31.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4614) (all_57_19 = e1 & ~ (all_57_8 = e3) & ~
% 195.98/31.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e2) & ~ (all_57_12 = e1) & ~
% 195.98/31.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e0) & ~ (all_57_21 = e2) & op(e2,
% 195.98/31.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_9) = all_57_8 & op(e2, all_57_11) =
% 195.98/31.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e2, all_57_13) = all_57_12 &
% 195.98/31.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_15) = all_57_14 & op(e2, e3) =
% 195.98/31.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_9 & op(e2, e2) = all_57_11 & op(e2, e1) =
% 195.98/31.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_13 & op(e2, e0) = all_57_15 & op(e1, e2)
% 195.98/31.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & op(e1, e1) = all_57_21 & $i(all_57_8) &
% 195.98/31.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9) & $i(all_57_10) & $i(all_57_11) &
% 195.98/31.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & $i(all_57_13) & $i(all_57_14) &
% 195.98/31.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & $i(all_57_21)) | (op(e0, e0) =
% 195.98/31.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_31 & $i(all_57_31) & ((all_57_23 = e1 &
% 195.98/31.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_21 = e0) & ~ (all_57_24 = e3) &
% 195.98/31.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_26 = e2) & ~ (all_57_28 = e1) &
% 195.98/31.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_30 = e0) & op(e1, e1) = all_57_21
% 195.98/31.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e0) = e1 & op(e0, all_57_25) =
% 195.98/31.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_24 & op(e0, all_57_27) = all_57_26 &
% 195.98/31.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_29) = all_57_28 & op(e0,
% 195.98/31.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_31) = all_57_30 & op(e0, e3) =
% 195.98/31.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_27 & op(e0,
% 195.98/31.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_29 & $i(all_57_21) &
% 195.98/31.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_24) & $i(all_57_25) &
% 195.98/31.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_27) &
% 195.98/31.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28) & $i(all_57_29) &
% 195.98/31.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_25 = e0 & ~
% 195.98/31.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_0 = e3) & ~ (all_57_2 = e2) & ~
% 195.98/31.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1) & ~ (all_57_6 = e0) & ~
% 195.98/31.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e3) & op(e3, all_57_1) =
% 195.98/31.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_0 & op(e3, all_57_3) = all_57_2 &
% 195.98/31.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, all_57_5) = all_57_4 & op(e3,
% 195.98/31.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7) = all_57_6 & op(e3, e3) =
% 195.98/31.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e2) = all_57_3 & op(e3,
% 195.98/31.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_5 & op(e3, e0) = all_57_7 &
% 195.98/31.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_0) &
% 195.98/31.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_2) & $i(all_57_3) &
% 195.98/31.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4) & $i(all_57_5) & $i(all_57_6) &
% 195.98/31.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7)) | (all_57_27 = e0 & ~
% 195.98/31.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e3) & ~ (all_57_10 = e2) & ~
% 195.98/31.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e1) & ~ (all_57_14 = e0) & ~
% 195.98/31.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e2) & op(e2, all_57_9) =
% 195.98/31.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_8 & op(e2, all_57_11) = all_57_10 &
% 195.98/31.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_13) = all_57_12 & op(e2,
% 195.98/31.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15) = all_57_14 & op(e2, e3) =
% 195.98/31.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_9 & op(e2, e2) = all_57_11 & op(e2,
% 195.98/31.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_13 & op(e2, e0) = all_57_15 &
% 195.98/31.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_8) &
% 195.98/31.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9) & $i(all_57_10) & $i(all_57_11)
% 195.98/31.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_12) & $i(all_57_13) &
% 195.98/31.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & $i(all_57_15)) | (all_57_29
% 195.98/31.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & ~ (all_57_16 = e3) & ~ (all_57_18 =
% 195.98/31.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_20 = e1) & ~ (all_57_22
% 195.98/31.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_31 = e1) & op(e1,
% 195.98/31.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17) = all_57_16 & op(e1, all_57_19)
% 195.98/31.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_18 & op(e1, all_57_21) = all_57_20
% 195.98/31.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, all_57_23) = all_57_22 & op(e1, e3)
% 195.98/31.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_17 & op(e1, e2) = all_57_19 &
% 195.98/31.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_21 & op(e1, e0) =
% 195.98/31.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23 & op(e0, e1) = e0 & $i(all_57_16)
% 195.98/31.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_17) & $i(all_57_18) &
% 195.98/31.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_20) &
% 195.98/31.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_22) &
% 195.98/31.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23))))
% 195.98/31.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4614) gives:
% 195.98/31.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 195.98/31.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4615) all_57_19 = e1 & ~ (all_57_8 = e3) & ~
% 195.98/31.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e2) & ~ (all_57_12 = e1) & ~
% 195.98/31.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e0) & ~ (all_57_21 = e2) & op(e2,
% 195.98/31.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_9) = all_57_8 & op(e2, all_57_11) =
% 195.98/31.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e2, all_57_13) = all_57_12 & op(e2,
% 195.98/31.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15) = all_57_14 & op(e2, e3) = all_57_9 &
% 195.98/31.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_11 & op(e2, e1) = all_57_13 &
% 195.98/31.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_15 & op(e1, e2) = e1 & op(e1,
% 195.98/31.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_21 & $i(all_57_8) & $i(all_57_9) &
% 195.98/31.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & $i(all_57_11) & $i(all_57_12) &
% 195.98/31.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13) & $i(all_57_14) & $i(all_57_15) &
% 195.98/31.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21)
% 195.98/31.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (3900), (4477), (4536), (4600), (4615),
% 195.98/31.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 195.98/31.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1098.
% 195.98/31.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 195.98/31.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4616) op(e0, e0) = all_57_31 & $i(all_57_31) &
% 195.98/31.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_23 = e1 & ~ (all_57_21 = e0) & ~
% 195.98/31.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 195.98/31.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) &
% 195.98/31.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_21 & op(e1, e0) = e1 &
% 195.98/31.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_25) = all_57_24 & op(e0,
% 195.98/31.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27) = all_57_26 & op(e0, all_57_29) =
% 195.98/31.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_28 & op(e0, all_57_31) = all_57_30 &
% 195.98/31.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_25 & op(e0, e2) =
% 195.98/31.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27 & op(e0, e1) = all_57_29 &
% 195.98/31.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_24) & $i(all_57_25)
% 195.98/31.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_26) & $i(all_57_27) &
% 195.98/31.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28) & $i(all_57_29) & $i(all_57_30))
% 195.98/31.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_25 = e0 & ~ (all_57_0 = e3) & ~
% 195.98/31.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e2) & ~ (all_57_4 = e1) & ~
% 195.98/31.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_6 = e0) & ~ (all_57_31 = e3) & op(e3,
% 195.98/31.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1) = all_57_0 & op(e3, all_57_3) =
% 195.98/31.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_2 & op(e3, all_57_5) = all_57_4 &
% 195.98/31.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, all_57_7) = all_57_6 & op(e3, e3) =
% 195.98/31.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e2) = all_57_3 & op(e3, e1)
% 195.98/31.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_5 & op(e3, e0) = all_57_7 & op(e0,
% 195.98/31.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e0 & $i(all_57_0) & $i(all_57_1) &
% 195.98/31.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_2) & $i(all_57_3) & $i(all_57_4) &
% 195.98/31.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_6) & $i(all_57_7)) |
% 195.98/31.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_27 = e0 & ~ (all_57_8 = e3) & ~
% 195.98/31.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e2) & ~ (all_57_12 = e1) & ~
% 195.98/31.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e0) & ~ (all_57_31 = e2) &
% 195.98/31.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_9) = all_57_8 & op(e2,
% 195.98/31.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_11) = all_57_10 & op(e2, all_57_13) =
% 195.98/31.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & op(e2, all_57_15) = all_57_14 &
% 195.98/31.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_9 & op(e2, e2) = all_57_11
% 195.98/31.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = all_57_13 & op(e2, e0) =
% 195.98/31.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15 & op(e0, e2) = e0 & $i(all_57_8) &
% 195.98/31.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9) & $i(all_57_10) & $i(all_57_11) &
% 195.98/31.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & $i(all_57_13) & $i(all_57_14)
% 195.98/31.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_15)) | (all_57_29 = e0 & ~
% 195.98/31.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_16 = e3) & ~ (all_57_18 = e2) & ~
% 195.98/31.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_22 = e0) & ~
% 195.98/31.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e1) & op(e1, all_57_17) =
% 195.98/31.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_16 & op(e1, all_57_19) = all_57_18 &
% 195.98/31.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_21) = all_57_20 & op(e1,
% 195.98/31.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23) = all_57_22 & op(e1, e3) =
% 195.98/31.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e1, e2) = all_57_19 & op(e1,
% 195.98/31.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_21 & op(e1, e0) = all_57_23 &
% 195.98/31.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_16) &
% 195.98/31.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_17) & $i(all_57_18) & $i(all_57_19)
% 195.98/31.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_20) & $i(all_57_21) &
% 195.98/31.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_23)))
% 195.98/31.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4616) implies:
% 195.98/31.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4617) (all_57_23 = e1 & ~ (all_57_21 = e0) & ~
% 195.98/31.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 195.98/31.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) & op(e1,
% 195.98/31.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_21 & op(e1, e0) = e1 & op(e0,
% 195.98/31.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25) = all_57_24 & op(e0, all_57_27) =
% 195.98/31.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e0, all_57_29) = all_57_28 &
% 195.98/31.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_31) = all_57_30 & op(e0, e3) =
% 195.98/31.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_27 & op(e0, e1)
% 195.98/31.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_29 & $i(all_57_21) & $i(all_57_24) &
% 195.98/31.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_25) & $i(all_57_26) & $i(all_57_27) &
% 195.98/31.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28) & $i(all_57_29) & $i(all_57_30)) |
% 195.98/31.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_25 = e0 & ~ (all_57_0 = e3) & ~
% 195.98/31.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e2) & ~ (all_57_4 = e1) & ~
% 195.98/31.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_6 = e0) & ~ (all_57_31 = e3) & op(e3,
% 195.98/31.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1) = all_57_0 & op(e3, all_57_3) =
% 195.98/31.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_2 & op(e3, all_57_5) = all_57_4 & op(e3,
% 195.98/31.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7) = all_57_6 & op(e3, e3) = all_57_1 &
% 195.98/31.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_3 & op(e3, e1) = all_57_5 &
% 195.98/31.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_7 & op(e0, e3) = e0 &
% 195.98/31.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_0) & $i(all_57_1) & $i(all_57_2) &
% 195.98/31.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_3) & $i(all_57_4) & $i(all_57_5) &
% 195.98/31.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_6) & $i(all_57_7)) | (all_57_27 = e0 &
% 195.98/31.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_8 = e3) & ~ (all_57_10 = e2) & ~
% 195.98/31.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e1) & ~ (all_57_14 = e0) & ~
% 195.98/31.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e2) & op(e2, all_57_9) = all_57_8 &
% 195.98/31.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_11) = all_57_10 & op(e2,
% 195.98/31.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_13) = all_57_12 & op(e2, all_57_15) =
% 195.98/31.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_14 & op(e2, e3) = all_57_9 & op(e2, e2) =
% 195.98/31.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_11 & op(e2, e1) = all_57_13 & op(e2, e0)
% 195.98/31.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_15 & op(e0, e2) = e0 & $i(all_57_8) &
% 195.98/31.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9) & $i(all_57_10) & $i(all_57_11) &
% 195.98/31.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & $i(all_57_13) & $i(all_57_14) &
% 195.98/31.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15)) | (all_57_29 = e0 & ~ (all_57_16
% 195.98/31.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_18 = e2) & ~ (all_57_20 =
% 195.98/31.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_22 = e0) & ~ (all_57_31 =
% 195.98/31.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & op(e1, all_57_17) = all_57_16 & op(e1,
% 195.98/31.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_19) = all_57_18 & op(e1, all_57_21) =
% 195.98/31.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20 & op(e1, all_57_23) = all_57_22 &
% 195.98/31.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_17 & op(e1, e2) = all_57_19
% 195.98/31.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = all_57_21 & op(e1, e0) =
% 195.98/31.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23 & op(e0, e1) = e0 & $i(all_57_16) &
% 195.98/31.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_17) & $i(all_57_18) & $i(all_57_19) &
% 195.98/31.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_20) & $i(all_57_21) & $i(all_57_22) &
% 195.98/31.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23))
% 195.98/31.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4367) gives:
% 195.98/31.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 195.98/31.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4618) ~ (all_36_1 = e0)
% 195.98/31.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4599), (4618) imply:
% 195.98/31.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4619) $false
% 195.98/31.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (4619) is inconsistent.
% 195.98/31.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 195.98/31.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4620) ~ (all_36_0 = e2) & op(e0, e1) = all_36_0 &
% 195.98/31.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_36_0)
% 195.98/31.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4620) implies:
% 195.98/31.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4621) op(e0, e1) = all_36_0
% 195.98/31.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4617) gives:
% 195.98/31.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 195.98/31.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4622) (all_57_23 = e1 & ~ (all_57_21 = e0) & ~
% 195.98/31.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 195.98/31.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) & op(e1,
% 195.98/31.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_21 & op(e1, e0) = e1 & op(e0,
% 195.98/31.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25) = all_57_24 & op(e0, all_57_27) =
% 195.98/31.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e0, all_57_29) = all_57_28 &
% 195.98/31.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_31) = all_57_30 & op(e0, e3) =
% 195.98/31.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_27 & op(e0, e1)
% 195.98/31.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_29 & $i(all_57_21) & $i(all_57_24) &
% 195.98/31.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_25) & $i(all_57_26) & $i(all_57_27) &
% 195.98/31.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28) & $i(all_57_29) & $i(all_57_30)) |
% 195.98/31.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_25 = e0 & ~ (all_57_0 = e3) & ~
% 195.98/31.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e2) & ~ (all_57_4 = e1) & ~
% 195.98/31.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_6 = e0) & ~ (all_57_31 = e3) & op(e3,
% 195.98/31.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1) = all_57_0 & op(e3, all_57_3) =
% 195.98/31.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_2 & op(e3, all_57_5) = all_57_4 & op(e3,
% 195.98/31.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7) = all_57_6 & op(e3, e3) = all_57_1 &
% 195.98/31.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_3 & op(e3, e1) = all_57_5 &
% 195.98/31.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_7 & op(e0, e3) = e0 &
% 195.98/31.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_0) & $i(all_57_1) & $i(all_57_2) &
% 195.98/31.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_3) & $i(all_57_4) & $i(all_57_5) &
% 195.98/31.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_6) & $i(all_57_7))
% 195.98/31.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4622) gives:
% 195.98/31.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 195.98/31.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4623) all_57_23 = e1 & ~ (all_57_21 = e0) & ~
% 195.98/31.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 195.98/31.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) & op(e1,
% 195.98/31.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_21 & op(e1, e0) = e1 & op(e0,
% 195.98/31.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25) = all_57_24 & op(e0, all_57_27) =
% 195.98/31.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e0, all_57_29) = all_57_28 & op(e0,
% 195.98/31.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_31) = all_57_30 & op(e0, e3) = all_57_25
% 195.98/31.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e2) = all_57_27 & op(e0, e1) = all_57_29
% 195.98/31.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_21) & $i(all_57_24) & $i(all_57_25) &
% 195.98/31.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_27) & $i(all_57_28) &
% 195.98/31.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29) & $i(all_57_30)
% 195.98/31.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4623) implies:
% 195.98/31.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4624) op(e1, e0) = e1
% 195.98/31.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (4588), (4624), (function-axioms) are
% 195.98/31.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1709.
% 195.98/31.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 195.98/31.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4625) all_57_25 = e0 & ~ (all_57_0 = e3) & ~ (all_57_2
% 195.98/31.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2) & ~ (all_57_4 = e1) & ~ (all_57_6 = e0)
% 195.98/31.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_31 = e3) & op(e3, all_57_1) =
% 195.98/31.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_0 & op(e3, all_57_3) = all_57_2 & op(e3,
% 195.98/31.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_5) = all_57_4 & op(e3, all_57_7) =
% 195.98/31.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_6 & op(e3, e3) = all_57_1 & op(e3, e2) =
% 195.98/31.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 & op(e3, e1) = all_57_5 & op(e3, e0) =
% 195.98/31.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7 & op(e0, e3) = e0 & $i(all_57_0) &
% 195.98/31.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_2) & $i(all_57_3) &
% 195.98/31.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4) & $i(all_57_5) & $i(all_57_6) &
% 195.98/31.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7)
% 195.98/31.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4625) implies:
% 195.98/31.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4626) op(e0, e3) = e0
% 195.98/31.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (4481), (4626), (function-axioms) are
% 195.98/31.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1877.
% 195.98/31.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 195.98/31.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 195.98/31.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4627) (all_57_27 = e0 & ~ (all_57_8 = e3) & ~
% 195.98/31.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e2) & ~ (all_57_12 = e1) & ~
% 195.98/31.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e0) & ~ (all_57_31 = e2) & op(e2,
% 195.98/31.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_9) = all_57_8 & op(e2, all_57_11) =
% 195.98/31.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e2, all_57_13) = all_57_12 &
% 195.98/31.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_15) = all_57_14 & op(e2, e3) =
% 195.98/31.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_9 & op(e2, e2) = all_57_11 & op(e2, e1) =
% 195.98/31.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_13 & op(e2, e0) = all_57_15 & op(e0, e2)
% 195.98/31.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & $i(all_57_8) & $i(all_57_9) &
% 195.98/31.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & $i(all_57_11) & $i(all_57_12) &
% 195.98/31.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13) & $i(all_57_14) & $i(all_57_15)) |
% 195.98/31.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_29 = e0 & ~ (all_57_16 = e3) & ~
% 195.98/31.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_18 = e2) & ~ (all_57_20 = e1) & ~
% 195.98/31.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_22 = e0) & ~ (all_57_31 = e1) & op(e1,
% 195.98/31.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17) = all_57_16 & op(e1, all_57_19) =
% 195.98/31.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_18 & op(e1, all_57_21) = all_57_20 &
% 195.98/31.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_23) = all_57_22 & op(e1, e3) =
% 195.98/31.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e1, e2) = all_57_19 & op(e1, e1)
% 195.98/31.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_21 & op(e1, e0) = all_57_23 & op(e0,
% 195.98/31.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0 & $i(all_57_16) & $i(all_57_17) &
% 195.98/31.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_19) & $i(all_57_20) &
% 195.98/31.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_22) & $i(all_57_23))
% 195.98/31.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4627) gives:
% 195.98/31.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 195.98/31.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4628) all_57_27 = e0 & ~ (all_57_8 = e3) & ~
% 195.98/31.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e2) & ~ (all_57_12 = e1) & ~
% 195.98/31.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e0) & ~ (all_57_31 = e2) & op(e2,
% 195.98/31.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_9) = all_57_8 & op(e2, all_57_11) =
% 195.98/31.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e2, all_57_13) = all_57_12 & op(e2,
% 195.98/31.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15) = all_57_14 & op(e2, e3) = all_57_9 &
% 195.98/31.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_11 & op(e2, e1) = all_57_13 &
% 195.98/31.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_15 & op(e0, e2) = e0 &
% 195.98/31.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8) & $i(all_57_9) & $i(all_57_10) &
% 195.98/31.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_12) & $i(all_57_13) &
% 195.98/31.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & $i(all_57_15)
% 195.98/31.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4628) implies:
% 195.98/31.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4629) op(e0, e2) = e0
% 195.98/31.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (4586), (4629), (function-axioms) are
% 195.98/31.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1447.
% 195.98/31.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 195.98/31.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4630) all_57_29 = e0 & ~ (all_57_16 = e3) & ~
% 195.98/31.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_18 = e2) & ~ (all_57_20 = e1) & ~
% 195.98/31.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_22 = e0) & ~ (all_57_31 = e1) & op(e1,
% 195.98/31.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17) = all_57_16 & op(e1, all_57_19) =
% 195.98/31.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_18 & op(e1, all_57_21) = all_57_20 & op(e1,
% 195.98/31.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23) = all_57_22 & op(e1, e3) = all_57_17
% 195.98/31.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = all_57_19 & op(e1, e1) = all_57_21
% 195.98/31.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e0) = all_57_23 & op(e0, e1) = e0 &
% 195.98/31.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_16) & $i(all_57_17) & $i(all_57_18) &
% 195.98/31.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_20) & $i(all_57_21) &
% 195.98/31.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_23)
% 195.98/31.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4630) implies:
% 195.98/31.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4631) op(e0, e1) = e0
% 195.98/31.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (4587), (4621), (4631), (function-axioms) are
% 195.98/31.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1097.
% 195.98/31.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 195.98/31.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 195.98/31.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 195.98/31.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 195.98/31.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 195.98/31.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 195.98/31.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 195.98/31.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 195.98/31.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4632) all_56_15 = e2 & op(e0, e0) = e2
% 195.98/31.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (45), (246), (4382), (4496), (4506), (4632),
% 195.98/31.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 195.98/31.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1103.
% 195.98/31.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 195.98/31.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 195.98/31.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 195.98/31.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 195.98/31.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 195.98/31.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4633) all_56_9 = e2 & op(e3, e0) = e2
% 195.98/31.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4633) implies:
% 195.98/31.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4634) op(e3, e0) = e2
% 195.98/31.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (4472), (4634), (function-axioms) are
% 195.98/31.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1726.
% 195.98/31.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 195.98/31.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 195.98/31.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 195.98/31.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4635) all_56_15 = e1 & op(e0, e0) = e1
% 195.98/31.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4635) implies:
% 195.98/31.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4636) op(e0, e0) = e1
% 195.98/31.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (4517), (4636), (function-axioms) are
% 195.98/31.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1708.
% 195.98/31.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 195.98/31.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 195.98/31.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 195.98/31.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 195.98/31.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 195.98/31.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4637) all_56_10 = e0 & op(e2, e0) = e0
% 195.98/31.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (4513), (4637), (function-axioms) are
% 195.98/31.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1263.
% 195.98/31.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 195.98/31.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 195.98/31.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 195.98/31.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4638) all_56_3 = e0 & op(e2, e2) = e0
% 195.98/31.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4638) implies:
% 195.98/31.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4639) op(e2, e2) = e0
% 195.98/31.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (3900), (4639), (function-axioms) are
% 195.98/31.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1661.
% 195.98/31.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 195.98/31.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 195.98/31.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4640) (all_56_7 = e0 & op(e1, e2) = e0) | (all_56_13 =
% 195.98/31.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0)
% 195.98/31.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (158), (4512), (4525), (4640),
% 195.98/31.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 195.98/31.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1729.
% 195.98/31.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 195.98/31.04 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.04 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 195.98/31.04 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.04 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 195.98/31.04 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.04 | | | | | | | | | | | | | | | | | | | | | | | | | | (4641) (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_12 =
% 195.98/31.04 | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e3) = e2)
% 195.98/31.04 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.04 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4641) gives:
% 195.98/31.04 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.04 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 195.98/31.04 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | (4642) all_56_6 = e2 & op(e1, e3) = e2
% 195.98/31.04 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4642) implies:
% 195.98/31.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | (4643) all_56_6 = e2
% 195.98/31.04 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4529), (4643) imply:
% 195.98/31.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | (4644) e2 = e0
% 195.98/31.04 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5), (4644) imply:
% 195.98/31.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | (4645) $false
% 195.98/31.04 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (4645) is inconsistent.
% 195.98/31.04 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.04 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 195.98/31.04 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | (4646) all_56_12 = e2 & op(e0, e3) = e2
% 195.98/31.04 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4646) implies:
% 195.98/31.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | (4647) all_56_12 = e2
% 195.98/31.04 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (4480), (4647) are inconsistent by sub-proof
% 195.98/31.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | #1742.
% 195.98/31.04 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.04 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 195.98/31.04 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.04 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 195.98/31.04 | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.04 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 195.98/31.04 | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.04 | | | | | | | | | | | | | | | | | | | | | | | | | (4648) all_56_7 = e0 & op(e1, e2) = e0
% 195.98/31.04 | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.04 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4648) implies:
% 195.98/31.04 | | | | | | | | | | | | | | | | | | | | | | | | | (4649) all_56_7 = e0
% 195.98/31.04 | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.04 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (4525), (4649) are inconsistent by sub-proof
% 195.98/31.04 | | | | | | | | | | | | | | | | | | | | | | | | | #1773.
% 195.98/31.04 | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.04 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 195.98/31.04 | | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.04 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 195.98/31.04 | | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.04 | | | | | | | | | | | | | | | | | | | | | | | | (4650) (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_11 =
% 195.98/31.04 | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e1, e0) = e0)
% 195.98/31.04 | | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.04 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (45), (210), (211),
% 195.98/31.04 | | | | | | | | | | | | | | | | | | | | | | | | (212), (376), (4465), (4472), (4517), (4650),
% 195.98/31.04 | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 195.98/31.04 | | | | | | | | | | | | | | | | | | | | | | | | #1096.
% 195.98/31.04 | | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.04 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 195.98/31.04 | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.04 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 195.98/31.04 | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.04 | | | | | | | | | | | | | | | | | | | | | | | (4651) all_56_13 = e1 & op(e0, e2) = e1
% 195.98/31.04 | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.04 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4651) implies:
% 195.98/31.04 | | | | | | | | | | | | | | | | | | | | | | | (4652) all_56_13 = e1
% 195.98/31.04 | | | | | | | | | | | | | | | | | | | | | | | (4653) op(e0, e2) = e1
% 195.98/31.04 | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.04 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (45), (157), (158),
% 195.98/31.04 | | | | | | | | | | | | | | | | | | | | | | | (160), (162), (163), (165), (169), (170), (208),
% 195.98/31.04 | | | | | | | | | | | | | | | | | | | | | | | (210), (211), (212), (214), (217), (218), (219),
% 195.98/31.04 | | | | | | | | | | | | | | | | | | | | | | | (220), (225), (230), (234), (236), (238), (246),
% 195.98/31.04 | | | | | | | | | | | | | | | | | | | | | | | (376), (3892), (3896), (3900), (3919), (4357),
% 195.98/31.04 | | | | | | | | | | | | | | | | | | | | | | | (4360), (4362), (4366), (4382), (4458), (4459),
% 195.98/31.04 | | | | | | | | | | | | | | | | | | | | | | | (4463), (4465), (4472), (4480), (4481), (4488),
% 195.98/31.04 | | | | | | | | | | | | | | | | | | | | | | | (4489), (4490), (4492), (4496), (4506), (4517),
% 195.98/31.04 | | | | | | | | | | | | | | | | | | | | | | | (4652), (4653), (function-axioms) are inconsistent
% 195.98/31.04 | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1102.
% 195.98/31.04 | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.04 | | | | | | | | | | | | | | | | | | | | | | End of split
% 195.98/31.04 | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.04 | | | | | | | | | | | | | | | | | | | | | End of split
% 195.98/31.04 | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.04 | | | | | | | | | | | | | | | | | | | | End of split
% 195.98/31.04 | | | | | | | | | | | | | | | | | | | |
% 195.98/31.04 | | | | | | | | | | | | | | | | | | | End of split
% 195.98/31.04 | | | | | | | | | | | | | | | | | | |
% 195.98/31.04 | | | | | | | | | | | | | | | | | | End of split
% 195.98/31.04 | | | | | | | | | | | | | | | | | |
% 195.98/31.04 | | | | | | | | | | | | | | | | | Case 2:
% 195.98/31.04 | | | | | | | | | | | | | | | | | |
% 195.98/31.04 | | | | | | | | | | | | | | | | | | (4654) all_40_2 = e1
% 195.98/31.04 | | | | | | | | | | | | | | | | | |
% 195.98/31.04 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (307), (4654) imply:
% 195.98/31.04 | | | | | | | | | | | | | | | | | | (4655) all_10_2 = e1
% 195.98/31.04 | | | | | | | | | | | | | | | | | |
% 195.98/31.04 | | | | | | | | | | | | | | | | | | SIMP: (4655) implies:
% 195.98/31.04 | | | | | | | | | | | | | | | | | | (4656) all_10_2 = e1
% 195.98/31.04 | | | | | | | | | | | | | | | | | |
% 195.98/31.04 | | | | | | | | | | | | | | | | | | REDUCE: (376), (4656) imply:
% 195.98/31.04 | | | | | | | | | | | | | | | | | | (4657) ~ (e3 = e1)
% 195.98/31.04 | | | | | | | | | | | | | | | | | |
% 195.98/31.04 | | | | | | | | | | | | | | | | | | REDUCE: (45), (4656) imply:
% 195.98/31.04 | | | | | | | | | | | | | | | | | | (4658) op(e0, e0) = e1
% 195.98/31.04 | | | | | | | | | | | | | | | | | |
% 195.98/31.04 | | | | | | | | | | | | | | | | | | BETA: splitting (206) gives:
% 195.98/31.04 | | | | | | | | | | | | | | | | | |
% 195.98/31.04 | | | | | | | | | | | | | | | | | | Case 1:
% 195.98/31.04 | | | | | | | | | | | | | | | | | | |
% 195.98/31.04 | | | | | | | | | | | | | | | | | | | (4659) all_56_15 = e0 & op(e0, e0) = e0
% 195.98/31.04 | | | | | | | | | | | | | | | | | | |
% 195.98/31.04 | | | | | | | | | | | | | | | | | | | ALPHA: (4659) implies:
% 195.98/31.04 | | | | | | | | | | | | | | | | | | | (4660) op(e0, e0) = e0
% 195.98/31.04 | | | | | | | | | | | | | | | | | | |
% 195.98/31.04 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (4658), (4660), (function-axioms) are
% 195.98/31.04 | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1708.
% 195.98/31.04 | | | | | | | | | | | | | | | | | | |
% 195.98/31.04 | | | | | | | | | | | | | | | | | | Case 2:
% 195.98/31.04 | | | | | | | | | | | | | | | | | | |
% 195.98/31.04 | | | | | | | | | | | | | | | | | | | (4661) ((all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 =
% 195.98/31.04 | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_56_11 = e0 &
% 195.98/31.04 | | | | | | | | | | | | | | | | | | | op(e1, e0) = e0)) & ((all_56_12 = e0 & op(e0,
% 195.98/31.04 | | | | | | | | | | | | | | | | | | | e3) = e0) | (all_56_13 = e0 & op(e0, e2) =
% 195.98/31.04 | | | | | | | | | | | | | | | | | | | e0) | (all_56_14 = e0 & op(e0, e1) = e0))
% 195.98/31.04 | | | | | | | | | | | | | | | | | | |
% 195.98/31.04 | | | | | | | | | | | | | | | | | | | ALPHA: (4661) implies:
% 195.98/31.04 | | | | | | | | | | | | | | | | | | | (4662) (all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 =
% 195.98/31.04 | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_56_11 = e0 & op(e1,
% 195.98/31.04 | | | | | | | | | | | | | | | | | | | e0) = e0)
% 195.98/31.04 | | | | | | | | | | | | | | | | | | |
% 195.98/31.04 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (45), (160), (163),
% 195.98/31.04 | | | | | | | | | | | | | | | | | | | (165), (170), (206), (211), (212), (222), (229),
% 195.98/31.04 | | | | | | | | | | | | | | | | | | | (233), (235), (238), (371), (376), (3896), (3900),
% 195.98/31.04 | | | | | | | | | | | | | | | | | | | (4357), (4362), (4366), (4471), (4481), (4658),
% 195.98/31.04 | | | | | | | | | | | | | | | | | | | (4662), (function-axioms) are inconsistent by
% 195.98/31.04 | | | | | | | | | | | | | | | | | | | sub-proof #1092.
% 195.98/31.04 | | | | | | | | | | | | | | | | | | |
% 195.98/31.04 | | | | | | | | | | | | | | | | | | End of split
% 195.98/31.04 | | | | | | | | | | | | | | | | | |
% 195.98/31.04 | | | | | | | | | | | | | | | | | End of split
% 195.98/31.04 | | | | | | | | | | | | | | | | |
% 195.98/31.04 | | | | | | | | | | | | | | | | Case 2:
% 195.98/31.04 | | | | | | | | | | | | | | | | |
% 195.98/31.04 | | | | | | | | | | | | | | | | | (4663) all_56_13 = e3 & op(e0, e2) = e3
% 195.98/31.04 | | | | | | | | | | | | | | | | |
% 195.98/31.04 | | | | | | | | | | | | | | | | | ALPHA: (4663) implies:
% 195.98/31.04 | | | | | | | | | | | | | | | | | (4664) all_56_13 = e3
% 195.98/31.04 | | | | | | | | | | | | | | | | |
% 195.98/31.04 | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (225), (226), (227),
% 195.98/31.04 | | | | | | | | | | | | | | | | | (3900), (4664), (function-axioms) are inconsistent
% 195.98/31.04 | | | | | | | | | | | | | | | | | by sub-proof #1660.
% 195.98/31.04 | | | | | | | | | | | | | | | | |
% 195.98/31.04 | | | | | | | | | | | | | | | | End of split
% 195.98/31.04 | | | | | | | | | | | | | | | |
% 195.98/31.04 | | | | | | | | | | | | | | | Case 2:
% 195.98/31.04 | | | | | | | | | | | | | | | |
% 195.98/31.04 | | | | | | | | | | | | | | | | (4665) (all_56_14 = e3 & op(e0, e1) = e3) | (all_56_15 =
% 195.98/31.04 | | | | | | | | | | | | | | | | e3 & op(e0, e0) = e3)
% 195.98/31.04 | | | | | | | | | | | | | | | |
% 195.98/31.04 | | | | | | | | | | | | | | | | REF_CLOSE: (45), (157), (376), (4464), (4665),
% 195.98/31.04 | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 195.98/31.04 | | | | | | | | | | | | | | | | #1395.
% 195.98/31.04 | | | | | | | | | | | | | | | |
% 195.98/31.04 | | | | | | | | | | | | | | | End of split
% 195.98/31.04 | | | | | | | | | | | | | | |
% 195.98/31.04 | | | | | | | | | | | | | | End of split
% 195.98/31.04 | | | | | | | | | | | | | |
% 195.98/31.04 | | | | | | | | | | | | | End of split
% 195.98/31.04 | | | | | | | | | | | | |
% 195.98/31.04 | | | | | | | | | | | | End of split
% 195.98/31.04 | | | | | | | | | | | |
% 195.98/31.04 | | | | | | | | | | | End of split
% 195.98/31.04 | | | | | | | | | | |
% 195.98/31.04 | | | | | | | | | | Case 2:
% 195.98/31.04 | | | | | | | | | | |
% 195.98/31.04 | | | | | | | | | | | (4666) all_30_2 = e2
% 195.98/31.04 | | | | | | | | | | | (4667) op(e2, e0) = all_30_1 & $i(all_30_1) & ( ~
% 195.98/31.04 | | | | | | | | | | | (all_30_1 = e3) | ( ~ (all_30_0 = e1) & op(e3,
% 195.98/31.04 | | | | | | | | | | | e2) = all_30_0 & $i(all_30_0)))
% 195.98/31.04 | | | | | | | | | | |
% 195.98/31.04 | | | | | | | | | | | ALPHA: (4667) implies:
% 195.98/31.04 | | | | | | | | | | | (4668) op(e2, e0) = all_30_1
% 195.98/31.04 | | | | | | | | | | |
% 195.98/31.04 | | | | | | | | | | | COMBINE_EQS: (309), (4666) imply:
% 195.98/31.04 | | | | | | | | | | | (4669) all_10_2 = e2
% 195.98/31.04 | | | | | | | | | | |
% 195.98/31.04 | | | | | | | | | | | SIMP: (4669) implies:
% 195.98/31.04 | | | | | | | | | | | (4670) all_10_2 = e2
% 195.98/31.04 | | | | | | | | | | |
% 195.98/31.04 | | | | | | | | | | | COMBINE_EQS: (303), (4670) imply:
% 195.98/31.04 | | | | | | | | | | | (4671) all_42_2 = e2
% 195.98/31.04 | | | | | | | | | | |
% 195.98/31.04 | | | | | | | | | | | REDUCE: (350), (4670) imply:
% 195.98/31.04 | | | | | | | | | | | (4672) ~ (all_52_3 = e2)
% 195.98/31.04 | | | | | | | | | | |
% 195.98/31.04 | | | | | | | | | | | REDUCE: (361), (4670) imply:
% 195.98/31.04 | | | | | | | | | | | (4673) ~ (all_52_7 = e2)
% 195.98/31.04 | | | | | | | | | | |
% 195.98/31.04 | | | | | | | | | | | REDUCE: (368), (4670) imply:
% 195.98/31.04 | | | | | | | | | | | (4674) ~ (all_52_11 = e2)
% 195.98/31.04 | | | | | | | | | | |
% 195.98/31.04 | | | | | | | | | | | REDUCE: (369), (4670) imply:
% 195.98/31.04 | | | | | | | | | | | (4675) ~ (all_52_12 = e2)
% 195.98/31.04 | | | | | | | | | | |
% 195.98/31.04 | | | | | | | | | | | REDUCE: (370), (4670) imply:
% 195.98/31.04 | | | | | | | | | | | (4676) ~ (all_52_13 = e2)
% 195.98/31.04 | | | | | | | | | | |
% 195.98/31.04 | | | | | | | | | | | REDUCE: (371), (4670) imply:
% 195.98/31.04 | | | | | | | | | | | (4677) ~ (all_52_14 = e2)
% 195.98/31.04 | | | | | | | | | | |
% 195.98/31.04 | | | | | | | | | | | REDUCE: (376), (4670) imply:
% 195.98/31.04 | | | | | | | | | | | (4678) ~ (e3 = e2)
% 195.98/31.04 | | | | | | | | | | |
% 195.98/31.04 | | | | | | | | | | | REDUCE: (45), (4670) imply:
% 195.98/31.04 | | | | | | | | | | | (4679) op(e0, e0) = e2
% 195.98/31.04 | | | | | | | | | | |
% 195.98/31.04 | | | | | | | | | | | BETA: splitting (94) gives:
% 195.98/31.04 | | | | | | | | | | |
% 195.98/31.04 | | | | | | | | | | | Case 1:
% 195.98/31.04 | | | | | | | | | | | |
% 195.98/31.04 | | | | | | | | | | | | (4680) ~ (all_42_2 = e2)
% 195.98/31.04 | | | | | | | | | | | |
% 195.98/31.04 | | | | | | | | | | | | REDUCE: (4671), (4680) imply:
% 195.98/31.04 | | | | | | | | | | | | (4681) $false
% 195.98/31.04 | | | | | | | | | | | |
% 195.98/31.04 | | | | | | | | | | | | CLOSE: (4681) is inconsistent.
% 195.98/31.04 | | | | | | | | | | | |
% 195.98/31.04 | | | | | | | | | | | Case 2:
% 195.98/31.04 | | | | | | | | | | | |
% 195.98/31.04 | | | | | | | | | | | | (4682) op(e2, e0) = all_42_1 & $i(all_42_1) & ( ~
% 195.98/31.04 | | | | | | | | | | | | (all_42_1 = e1) | ( ~ (all_42_0 = e3) & op(e1,
% 195.98/31.04 | | | | | | | | | | | | e2) = all_42_0 & $i(all_42_0)))
% 195.98/31.04 | | | | | | | | | | | |
% 195.98/31.04 | | | | | | | | | | | | ALPHA: (4682) implies:
% 195.98/31.04 | | | | | | | | | | | | (4683) op(e2, e0) = all_42_1
% 195.98/31.04 | | | | | | | | | | | | (4684) ~ (all_42_1 = e1) | ( ~ (all_42_0 = e3) & op(e1,
% 195.98/31.04 | | | | | | | | | | | | e2) = all_42_0 & $i(all_42_0))
% 195.98/31.04 | | | | | | | | | | | |
% 195.98/31.04 | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_13,
% 195.98/31.04 | | | | | | | | | | | | all_30_1, e0, e2, simplifying with (164), (4668)
% 195.98/31.04 | | | | | | | | | | | | gives:
% 195.98/31.04 | | | | | | | | | | | | (4685) all_52_13 = all_30_1
% 195.98/31.04 | | | | | | | | | | | |
% 195.98/31.04 | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_13,
% 195.98/31.04 | | | | | | | | | | | | all_42_1, e0, e2, simplifying with (164), (4683)
% 195.98/31.04 | | | | | | | | | | | | gives:
% 195.98/31.04 | | | | | | | | | | | | (4686) all_52_13 = all_42_1
% 195.98/31.04 | | | | | | | | | | | |
% 195.98/31.04 | | | | | | | | | | | | COMBINE_EQS: (4685), (4686) imply:
% 195.98/31.04 | | | | | | | | | | | | (4687) all_42_1 = all_30_1
% 195.98/31.04 | | | | | | | | | | | |
% 195.98/31.04 | | | | | | | | | | | | SIMP: (4687) implies:
% 195.98/31.04 | | | | | | | | | | | | (4688) all_42_1 = all_30_1
% 195.98/31.04 | | | | | | | | | | | |
% 195.98/31.04 | | | | | | | | | | | | REDUCE: (145), (4685) imply:
% 195.98/31.04 | | | | | | | | | | | | (4689) ~ (all_52_1 = all_30_1)
% 195.98/31.04 | | | | | | | | | | | |
% 195.98/31.04 | | | | | | | | | | | | REDUCE: (113), (4685) imply:
% 195.98/31.04 | | | | | | | | | | | | (4690) ~ (all_52_12 = all_30_1)
% 195.98/31.04 | | | | | | | | | | | |
% 195.98/31.04 | | | | | | | | | | | | REDUCE: (110), (4685) imply:
% 195.98/31.04 | | | | | | | | | | | | (4691) ~ (all_52_14 = all_30_1)
% 195.98/31.04 | | | | | | | | | | | |
% 195.98/31.04 | | | | | | | | | | | | SIMP: (4691) implies:
% 195.98/31.04 | | | | | | | | | | | | (4692) ~ (all_52_14 = all_30_1)
% 195.98/31.04 | | | | | | | | | | | |
% 195.98/31.04 | | | | | | | | | | | | REDUCE: (3899), (4685) imply:
% 195.98/31.04 | | | | | | | | | | | | (4693) ~ (all_30_1 = e3)
% 195.98/31.04 | | | | | | | | | | | |
% 195.98/31.04 | | | | | | | | | | | | REDUCE: (4676), (4685) imply:
% 195.98/31.04 | | | | | | | | | | | | (4694) ~ (all_30_1 = e2)
% 195.98/31.04 | | | | | | | | | | | |
% 195.98/31.04 | | | | | | | | | | | | BETA: splitting (79) gives:
% 195.98/31.04 | | | | | | | | | | | |
% 195.98/31.04 | | | | | | | | | | | | Case 1:
% 195.98/31.04 | | | | | | | | | | | | |
% 195.98/31.04 | | | | | | | | | | | | | (4695) ~ (all_32_2 = e3)
% 195.98/31.04 | | | | | | | | | | | | |
% 195.98/31.04 | | | | | | | | | | | | | REDUCE: (301), (4695) imply:
% 195.98/31.04 | | | | | | | | | | | | | (4696) ~ (all_4_2 = e3)
% 195.98/31.04 | | | | | | | | | | | | |
% 195.98/31.04 | | | | | | | | | | | | | BETA: splitting (194) gives:
% 195.98/31.04 | | | | | | | | | | | | |
% 195.98/31.04 | | | | | | | | | | | | | Case 1:
% 195.98/31.04 | | | | | | | | | | | | | |
% 195.98/31.04 | | | | | | | | | | | | | | (4697) all_54_10 = e3
% 195.98/31.04 | | | | | | | | | | | | | |
% 195.98/31.04 | | | | | | | | | | | | | | REF_CLOSE: (335), (4696), (4697) are inconsistent by
% 195.98/31.04 | | | | | | | | | | | | | | sub-proof #1974.
% 195.98/31.04 | | | | | | | | | | | | | |
% 195.98/31.04 | | | | | | | | | | | | | Case 2:
% 195.98/31.04 | | | | | | | | | | | | | |
% 195.98/31.04 | | | | | | | | | | | | | | (4698) ~ (all_54_10 = e3)
% 195.98/31.04 | | | | | | | | | | | | | | (4699) all_54_10 = e2 | all_54_10 = e1 | all_54_10 = e0
% 195.98/31.04 | | | | | | | | | | | | | |
% 195.98/31.04 | | | | | | | | | | | | | | BETA: splitting (4699) gives:
% 195.98/31.04 | | | | | | | | | | | | | |
% 195.98/31.04 | | | | | | | | | | | | | | Case 1:
% 195.98/31.04 | | | | | | | | | | | | | | |
% 195.98/31.04 | | | | | | | | | | | | | | | (4700) all_54_10 = e2
% 195.98/31.04 | | | | | | | | | | | | | | |
% 195.98/31.04 | | | | | | | | | | | | | | | REF_CLOSE: (335), (375), (4700) are inconsistent by sub-proof
% 195.98/31.04 | | | | | | | | | | | | | | | #1973.
% 195.98/31.04 | | | | | | | | | | | | | | |
% 195.98/31.04 | | | | | | | | | | | | | | Case 2:
% 195.98/31.04 | | | | | | | | | | | | | | |
% 195.98/31.04 | | | | | | | | | | | | | | | (4701) ~ (all_54_10 = e2)
% 195.98/31.04 | | | | | | | | | | | | | | | (4702) all_54_10 = e1 | all_54_10 = e0
% 195.98/31.04 | | | | | | | | | | | | | | |
% 195.98/31.04 | | | | | | | | | | | | | | | BETA: splitting (4702) gives:
% 195.98/31.04 | | | | | | | | | | | | | | |
% 195.98/31.04 | | | | | | | | | | | | | | | Case 1:
% 195.98/31.04 | | | | | | | | | | | | | | | |
% 195.98/31.04 | | | | | | | | | | | | | | | | (4703) all_54_10 = e1
% 195.98/31.04 | | | | | | | | | | | | | | | |
% 195.98/31.04 | | | | | | | | | | | | | | | | COMBINE_EQS: (335), (4703) imply:
% 195.98/31.04 | | | | | | | | | | | | | | | | (4704) all_4_2 = e1
% 195.98/31.04 | | | | | | | | | | | | | | | |
% 195.98/31.04 | | | | | | | | | | | | | | | | SIMP: (4704) implies:
% 195.98/31.04 | | | | | | | | | | | | | | | | (4705) all_4_2 = e1
% 195.98/31.04 | | | | | | | | | | | | | | | |
% 195.98/31.04 | | | | | | | | | | | | | | | | REDUCE: (367), (4705) imply:
% 195.98/31.04 | | | | | | | | | | | | | | | | (4706) ~ (all_52_14 = e1)
% 195.98/31.04 | | | | | | | | | | | | | | | |
% 195.98/31.04 | | | | | | | | | | | | | | | | REDUCE: (4380), (4705) imply:
% 195.98/31.04 | | | | | | | | | | | | | | | | (4707) ~ (all_28_1 = e1)
% 195.98/31.04 | | | | | | | | | | | | | | | |
% 195.98/31.04 | | | | | | | | | | | | | | | | REDUCE: (4696), (4705) imply:
% 195.98/31.04 | | | | | | | | | | | | | | | | (4708) ~ (e3 = e1)
% 195.98/31.04 | | | | | | | | | | | | | | | |
% 195.98/31.04 | | | | | | | | | | | | | | | | REDUCE: (36), (4705) imply:
% 195.98/31.04 | | | | | | | | | | | | | | | | (4709) op(e1, e1) = e1
% 195.98/31.04 | | | | | | | | | | | | | | | |
% 195.98/31.04 | | | | | | | | | | | | | | | | BETA: splitting (207) gives:
% 195.98/31.04 | | | | | | | | | | | | | | | |
% 195.98/31.04 | | | | | | | | | | | | | | | | Case 1:
% 195.98/31.04 | | | | | | | | | | | | | | | | |
% 195.98/31.04 | | | | | | | | | | | | | | | | | (4710) (all_56_12 = e1 & op(e0, e3) = e1) | (all_56_13 =
% 195.98/31.04 | | | | | | | | | | | | | | | | | e1 & op(e0, e2) = e1)
% 195.98/31.04 | | | | | | | | | | | | | | | | |
% 195.98/31.04 | | | | | | | | | | | | | | | | | BETA: splitting (4710) gives:
% 195.98/31.04 | | | | | | | | | | | | | | | | |
% 195.98/31.04 | | | | | | | | | | | | | | | | | Case 1:
% 195.98/31.04 | | | | | | | | | | | | | | | | | |
% 195.98/31.04 | | | | | | | | | | | | | | | | | | (4711) all_56_12 = e1 & op(e0, e3) = e1
% 195.98/31.04 | | | | | | | | | | | | | | | | | |
% 195.98/31.04 | | | | | | | | | | | | | | | | | | ALPHA: (4711) implies:
% 195.98/31.04 | | | | | | | | | | | | | | | | | | (4712) all_56_12 = e1
% 195.98/31.04 | | | | | | | | | | | | | | | | | |
% 195.98/31.04 | | | | | | | | | | | | | | | | | | BETA: splitting (209) gives:
% 195.98/31.04 | | | | | | | | | | | | | | | | | |
% 195.98/31.04 | | | | | | | | | | | | | | | | | | Case 1:
% 195.98/31.04 | | | | | | | | | | | | | | | | | | |
% 195.98/31.05 | | | | | | | | | | | | | | | | | | | (4713) (all_56_12 = e3 & op(e0, e3) = e3) | (all_56_13 =
% 195.98/31.05 | | | | | | | | | | | | | | | | | | | e3 & op(e0, e2) = e3)
% 195.98/31.05 | | | | | | | | | | | | | | | | | | |
% 195.98/31.05 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (225), (226), (227),
% 195.98/31.05 | | | | | | | | | | | | | | | | | | | (3900), (4712), (4713), (function-axioms) are
% 195.98/31.05 | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1091.
% 195.98/31.05 | | | | | | | | | | | | | | | | | | |
% 195.98/31.05 | | | | | | | | | | | | | | | | | | Case 2:
% 195.98/31.05 | | | | | | | | | | | | | | | | | | |
% 195.98/31.05 | | | | | | | | | | | | | | | | | | | (4714) (all_56_14 = e3 & op(e0, e1) = e3) | (all_56_15 =
% 195.98/31.05 | | | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = e3)
% 195.98/31.05 | | | | | | | | | | | | | | | | | | |
% 195.98/31.05 | | | | | | | | | | | | | | | | | | | BETA: splitting (4714) gives:
% 195.98/31.05 | | | | | | | | | | | | | | | | | | |
% 195.98/31.05 | | | | | | | | | | | | | | | | | | | Case 1:
% 195.98/31.05 | | | | | | | | | | | | | | | | | | | |
% 195.98/31.05 | | | | | | | | | | | | | | | | | | | | (4715) all_56_14 = e3 & op(e0, e1) = e3
% 195.98/31.05 | | | | | | | | | | | | | | | | | | | |
% 195.98/31.05 | | | | | | | | | | | | | | | | | | | | ALPHA: (4715) implies:
% 195.98/31.05 | | | | | | | | | | | | | | | | | | | | (4716) all_56_14 = e3
% 195.98/31.05 | | | | | | | | | | | | | | | | | | | |
% 195.98/31.05 | | | | | | | | | | | | | | | | | | | | BETA: splitting (235) gives:
% 195.98/31.05 | | | | | | | | | | | | | | | | | | | |
% 195.98/31.05 | | | | | | | | | | | | | | | | | | | | Case 1:
% 195.98/31.05 | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.05 | | | | | | | | | | | | | | | | | | | | | (4717) (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_2 = e3
% 195.98/31.05 | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e3)
% 195.98/31.05 | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.05 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (229), (233), (235),
% 195.98/31.05 | | | | | | | | | | | | | | | | | | | | | (4362), (4712), (4717), (function-axioms) are
% 195.98/31.05 | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1549.
% 195.98/31.05 | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.05 | | | | | | | | | | | | | | | | | | | | Case 2:
% 195.98/31.05 | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.05 | | | | | | | | | | | | | | | | | | | | | (4718) (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_12 =
% 195.98/31.05 | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e3) = e3)
% 195.98/31.05 | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.05 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4718) gives:
% 195.98/31.05 | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.05 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 195.98/31.05 | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.05 | | | | | | | | | | | | | | | | | | | | | | (4719) all_56_6 = e3 & op(e1, e3) = e3
% 195.98/31.05 | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.05 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4719) implies:
% 195.98/31.05 | | | | | | | | | | | | | | | | | | | | | | (4720) all_56_6 = e3
% 195.98/31.05 | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.05 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (229), (233), (235),
% 195.98/31.05 | | | | | | | | | | | | | | | | | | | | | | (4362), (4712), (4720), (function-axioms) are
% 195.98/31.05 | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1545.
% 195.98/31.05 | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.05 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 195.98/31.05 | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.05 | | | | | | | | | | | | | | | | | | | | | | (4721) all_56_12 = e3 & op(e0, e3) = e3
% 195.98/31.05 | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.05 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4721) implies:
% 195.98/31.05 | | | | | | | | | | | | | | | | | | | | | | (4722) all_56_12 = e3
% 195.98/31.05 | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.05 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4712), (4722) imply:
% 195.98/31.05 | | | | | | | | | | | | | | | | | | | | | | (4723) e3 = e1
% 195.98/31.05 | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.05 | | | | | | | | | | | | | | | | | | | | | | SIMP: (4723) implies:
% 195.98/31.05 | | | | | | | | | | | | | | | | | | | | | | (4724) e3 = e1
% 195.98/31.05 | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.05 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4716), (4724) imply:
% 195.98/31.05 | | | | | | | | | | | | | | | | | | | | | | (4725) all_56_14 = e1
% 195.98/31.05 | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.05 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (165), (217), (219),
% 195.98/31.05 | | | | | | | | | | | | | | | | | | | | | | (220), (3898), (4709), (4725), (function-axioms)
% 195.98/31.05 | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1116.
% 195.98/31.05 | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.05 | | | | | | | | | | | | | | | | | | | | | End of split
% 195.98/31.05 | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.05 | | | | | | | | | | | | | | | | | | | | End of split
% 195.98/31.05 | | | | | | | | | | | | | | | | | | | |
% 195.98/31.05 | | | | | | | | | | | | | | | | | | | Case 2:
% 195.98/31.05 | | | | | | | | | | | | | | | | | | | |
% 195.98/31.05 | | | | | | | | | | | | | | | | | | | | (4726) all_56_15 = e3 & op(e0, e0) = e3
% 195.98/31.05 | | | | | | | | | | | | | | | | | | | |
% 195.98/31.05 | | | | | | | | | | | | | | | | | | | | ALPHA: (4726) implies:
% 195.98/31.05 | | | | | | | | | | | | | | | | | | | | (4727) op(e0, e0) = e3
% 195.98/31.05 | | | | | | | | | | | | | | | | | | | |
% 195.98/31.05 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (4679), (4727), (function-axioms) are
% 195.98/31.05 | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1838.
% 195.98/31.05 | | | | | | | | | | | | | | | | | | | |
% 195.98/31.05 | | | | | | | | | | | | | | | | | | | End of split
% 195.98/31.05 | | | | | | | | | | | | | | | | | | |
% 195.98/31.05 | | | | | | | | | | | | | | | | | | End of split
% 195.98/31.05 | | | | | | | | | | | | | | | | | |
% 195.98/31.05 | | | | | | | | | | | | | | | | | Case 2:
% 195.98/31.05 | | | | | | | | | | | | | | | | | |
% 195.98/31.05 | | | | | | | | | | | | | | | | | | (4728) all_56_13 = e1 & op(e0, e2) = e1
% 195.98/31.05 | | | | | | | | | | | | | | | | | |
% 195.98/31.05 | | | | | | | | | | | | | | | | | | ALPHA: (4728) implies:
% 195.98/31.05 | | | | | | | | | | | | | | | | | | (4729) all_56_13 = e1
% 195.98/31.05 | | | | | | | | | | | | | | | | | | (4730) op(e0, e2) = e1
% 195.98/31.05 | | | | | | | | | | | | | | | | | |
% 195.98/31.05 | | | | | | | | | | | | | | | | | | BETA: splitting (210) gives:
% 195.98/31.05 | | | | | | | | | | | | | | | | | |
% 195.98/31.05 | | | | | | | | | | | | | | | | | | Case 1:
% 195.98/31.05 | | | | | | | | | | | | | | | | | | |
% 195.98/31.05 | | | | | | | | | | | | | | | | | | | (4731) (all_56_9 = e1 & op(e3, e0) = e1) | (all_56_10 =
% 195.98/31.05 | | | | | | | | | | | | | | | | | | | e1 & op(e2, e0) = e1)
% 195.98/31.05 | | | | | | | | | | | | | | | | | | |
% 195.98/31.05 | | | | | | | | | | | | | | | | | | | BETA: splitting (4731) gives:
% 195.98/31.05 | | | | | | | | | | | | | | | | | | |
% 195.98/31.05 | | | | | | | | | | | | | | | | | | | Case 1:
% 195.98/31.05 | | | | | | | | | | | | | | | | | | | |
% 195.98/31.05 | | | | | | | | | | | | | | | | | | | | (4732) all_56_9 = e1 & op(e3, e0) = e1
% 195.98/31.05 | | | | | | | | | | | | | | | | | | | |
% 195.98/31.05 | | | | | | | | | | | | | | | | | | | | ALPHA: (4732) implies:
% 195.98/31.05 | | | | | | | | | | | | | | | | | | | | (4733) all_56_9 = e1
% 195.98/31.05 | | | | | | | | | | | | | | | | | | | |
% 195.98/31.05 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (168), (170), (230),
% 195.98/31.05 | | | | | | | | | | | | | | | | | | | | (234), (236), (3896), (4362), (4675), (4733),
% 195.98/31.05 | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 195.98/31.05 | | | | | | | | | | | | | | | | | | | | #1089.
% 195.98/31.05 | | | | | | | | | | | | | | | | | | | |
% 195.98/31.05 | | | | | | | | | | | | | | | | | | | Case 2:
% 195.98/31.05 | | | | | | | | | | | | | | | | | | | |
% 195.98/31.05 | | | | | | | | | | | | | | | | | | | | (4734) all_56_10 = e1 & op(e2, e0) = e1
% 195.98/31.05 | | | | | | | | | | | | | | | | | | | |
% 195.98/31.05 | | | | | | | | | | | | | | | | | | | | ALPHA: (4734) implies:
% 195.98/31.05 | | | | | | | | | | | | | | | | | | | | (4735) all_56_10 = e1
% 195.98/31.05 | | | | | | | | | | | | | | | | | | | | (4736) op(e2, e0) = e1
% 195.98/31.05 | | | | | | | | | | | | | | | | | | | |
% 195.98/31.05 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_7, e1,
% 195.98/31.05 | | | | | | | | | | | | | | | | | | | | e2, e0, simplifying with (158), (4730) gives:
% 195.98/31.05 | | | | | | | | | | | | | | | | | | | | (4737) all_52_7 = e1
% 195.98/31.05 | | | | | | | | | | | | | | | | | | | |
% 195.98/31.05 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_30_1, e1,
% 195.98/31.05 | | | | | | | | | | | | | | | | | | | | e0, e2, simplifying with (4668), (4736) gives:
% 195.98/31.05 | | | | | | | | | | | | | | | | | | | | (4738) all_30_1 = e1
% 195.98/31.05 | | | | | | | | | | | | | | | | | | | |
% 195.98/31.05 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4688), (4738) imply:
% 195.98/31.05 | | | | | | | | | | | | | | | | | | | | (4739) all_42_1 = e1
% 195.98/31.05 | | | | | | | | | | | | | | | | | | | |
% 195.98/31.05 | | | | | | | | | | | | | | | | | | | | REDUCE: (4689), (4738) imply:
% 195.98/31.05 | | | | | | | | | | | | | | | | | | | | (4740) ~ (all_52_1 = e1)
% 195.98/31.05 | | | | | | | | | | | | | | | | | | | |
% 195.98/31.05 | | | | | | | | | | | | | | | | | | | | REDUCE: (140), (4737) imply:
% 195.98/31.05 | | | | | | | | | | | | | | | | | | | | (4741) ~ (all_52_3 = e1)
% 195.98/31.05 | | | | | | | | | | | | | | | | | | | |
% 195.98/31.05 | | | | | | | | | | | | | | | | | | | | REDUCE: (128), (4737) imply:
% 195.98/31.05 | | | | | | | | | | | | | | | | | | | | (4742) ~ (all_52_6 = e1)
% 195.98/31.05 | | | | | | | | | | | | | | | | | | | |
% 195.98/31.05 | | | | | | | | | | | | | | | | | | | | REDUCE: (3913), (4737) imply:
% 195.98/31.05 | | | | | | | | | | | | | | | | | | | | (4743) ~ (all_16_1 = e1)
% 195.98/31.05 | | | | | | | | | | | | | | | | | | | |
% 195.98/31.05 | | | | | | | | | | | | | | | | | | | | BETA: splitting (4684) gives:
% 195.98/31.05 | | | | | | | | | | | | | | | | | | | |
% 195.98/31.05 | | | | | | | | | | | | | | | | | | | | Case 1:
% 195.98/31.05 | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.05 | | | | | | | | | | | | | | | | | | | | | (4744) ~ (all_42_1 = e1)
% 195.98/31.05 | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.05 | | | | | | | | | | | | | | | | | | | | | REDUCE: (4739), (4744) imply:
% 195.98/31.05 | | | | | | | | | | | | | | | | | | | | | (4745) $false
% 195.98/31.05 | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.05 | | | | | | | | | | | | | | | | | | | | | CLOSE: (4745) is inconsistent.
% 195.98/31.05 | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.05 | | | | | | | | | | | | | | | | | | | | Case 2:
% 195.98/31.05 | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.05 | | | | | | | | | | | | | | | | | | | | | (4746) ~ (all_42_0 = e3) & op(e1, e2) = all_42_0 &
% 195.98/31.05 | | | | | | | | | | | | | | | | | | | | | $i(all_42_0)
% 195.98/31.05 | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.05 | | | | | | | | | | | | | | | | | | | | | ALPHA: (4746) implies:
% 195.98/31.05 | | | | | | | | | | | | | | | | | | | | | (4747) op(e1, e2) = all_42_0
% 195.98/31.05 | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.05 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_6,
% 195.98/31.05 | | | | | | | | | | | | | | | | | | | | | all_42_0, e2, e1, simplifying with (162), (4747)
% 195.98/31.05 | | | | | | | | | | | | | | | | | | | | | gives:
% 195.98/31.05 | | | | | | | | | | | | | | | | | | | | | (4748) all_52_6 = all_42_0
% 195.98/31.05 | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.05 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (258), (4748) imply:
% 195.98/31.05 | | | | | | | | | | | | | | | | | | | | | (4749) all_54_9 = all_42_0
% 195.98/31.05 | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.05 | | | | | | | | | | | | | | | | | | | | | REDUCE: (126), (4748) imply:
% 195.98/31.05 | | | | | | | | | | | | | | | | | | | | | (4750) ~ (all_52_14 = all_42_0)
% 195.98/31.05 | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.05 | | | | | | | | | | | | | | | | | | | | | SIMP: (4750) implies:
% 195.98/31.05 | | | | | | | | | | | | | | | | | | | | | (4751) ~ (all_52_14 = all_42_0)
% 195.98/31.05 | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.05 | | | | | | | | | | | | | | | | | | | | | REDUCE: (4377), (4748) imply:
% 195.98/31.05 | | | | | | | | | | | | | | | | | | | | | (4752) ~ (all_42_0 = all_28_1)
% 195.98/31.05 | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.05 | | | | | | | | | | | | | | | | | | | | | REDUCE: (3897), (4748) imply:
% 195.98/31.05 | | | | | | | | | | | | | | | | | | | | | (4753) ~ (all_42_0 = e3)
% 195.98/31.05 | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.05 | | | | | | | | | | | | | | | | | | | | | REDUCE: (4742), (4748) imply:
% 195.98/31.05 | | | | | | | | | | | | | | | | | | | | | (4754) ~ (all_42_0 = e1)
% 195.98/31.05 | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.05 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (201) gives:
% 195.98/31.05 | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.05 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 195.98/31.05 | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.05 | | | | | | | | | | | | | | | | | | | | | | (4755) all_54_3 = e3
% 195.98/31.05 | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.05 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (270), (4755) imply:
% 195.98/31.05 | | | | | | | | | | | | | | | | | | | | | | (4756) all_52_12 = e3
% 195.98/31.05 | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.05 | | | | | | | | | | | | | | | | | | | | | | SIMP: (4756) implies:
% 195.98/31.05 | | | | | | | | | | | | | | | | | | | | | | (4757) all_52_12 = e3
% 195.98/31.05 | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.05 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (120), (4757) imply:
% 195.98/31.05 | | | | | | | | | | | | | | | | | | | | | | (4758) ~ (all_52_8 = e3)
% 195.98/31.05 | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.05 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (112), (4757) imply:
% 195.98/31.05 | | | | | | | | | | | | | | | | | | | | | | (4759) ~ (all_52_14 = e3)
% 195.98/31.05 | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.05 | | | | | | | | | | | | | | | | | | | | | | SIMP: (4759) implies:
% 195.98/31.05 | | | | | | | | | | | | | | | | | | | | | | (4760) ~ (all_52_14 = e3)
% 195.98/31.05 | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.05 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (168), (4757) imply:
% 195.98/31.05 | | | | | | | | | | | | | | | | | | | | | | (4761) op(e3, e0) = e3
% 195.98/31.05 | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.05 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (216) gives:
% 195.98/31.05 | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.05 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 195.98/31.05 | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.05 | | | | | | | | | | | | | | | | | | | | | | | (4762) (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_7 = e3
% 195.98/31.05 | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e3)
% 195.98/31.05 | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.05 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4762) gives:
% 195.98/31.05 | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.05 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 195.98/31.05 | | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.05 | | | | | | | | | | | | | | | | | | | | | | | | (4763) all_56_6 = e3 & op(e1, e3) = e3
% 195.98/31.05 | | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.05 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4763) implies:
% 195.98/31.05 | | | | | | | | | | | | | | | | | | | | | | | | (4764) all_56_6 = e3
% 195.98/31.05 | | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.05 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (193) gives:
% 195.98/31.05 | | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.05 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 195.98/31.05 | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.05 | | | | | | | | | | | | | | | | | | | | | | | | | (4765) all_54_11 = e3
% 195.98/31.05 | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.05 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (250), (4765) imply:
% 195.98/31.05 | | | | | | | | | | | | | | | | | | | | | | | | | (4766) all_52_14 = e3
% 195.98/31.05 | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.05 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4760), (4766) imply:
% 195.98/31.05 | | | | | | | | | | | | | | | | | | | | | | | | | (4767) $false
% 195.98/31.05 | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.05 | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (4767) is inconsistent.
% 195.98/31.05 | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.05 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 195.98/31.05 | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.05 | | | | | | | | | | | | | | | | | | | | | | | | | (4768) ~ (all_54_11 = e3)
% 195.98/31.05 | | | | | | | | | | | | | | | | | | | | | | | | | (4769) all_54_11 = e2 | all_54_11 = e1 | all_54_11 = e0
% 195.98/31.05 | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.05 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4769) gives:
% 195.98/31.05 | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.05 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 195.98/31.05 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.05 | | | | | | | | | | | | | | | | | | | | | | | | | | (4770) all_54_11 = e2
% 195.98/31.05 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.05 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (250), (4770) imply:
% 195.98/31.05 | | | | | | | | | | | | | | | | | | | | | | | | | | (4771) all_52_14 = e2
% 195.98/31.05 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.05 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4677), (4771) imply:
% 195.98/31.05 | | | | | | | | | | | | | | | | | | | | | | | | | | (4772) $false
% 195.98/31.05 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.05 | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (4772) is inconsistent.
% 195.98/31.05 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.05 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 195.98/31.05 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.05 | | | | | | | | | | | | | | | | | | | | | | | | | | (4773) ~ (all_54_11 = e2)
% 195.98/31.05 | | | | | | | | | | | | | | | | | | | | | | | | | | (4774) all_54_11 = e1 | all_54_11 = e0
% 195.98/31.05 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.05 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4774) gives:
% 195.98/31.05 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.05 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 195.98/31.05 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | (4775) all_54_11 = e1
% 195.98/31.05 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (250), (4775) imply:
% 195.98/31.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | (4776) all_52_14 = e1
% 195.98/31.05 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4706), (4776) imply:
% 195.98/31.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | (4777) $false
% 195.98/31.05 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (4777) is inconsistent.
% 195.98/31.05 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.05 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 195.98/31.05 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | (4778) all_54_11 = e0
% 195.98/31.05 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (250), (4778) imply:
% 195.98/31.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | (4779) all_52_14 = e0
% 195.98/31.05 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4751), (4779) imply:
% 195.98/31.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | (4780) ~ (all_42_0 = e0)
% 195.98/31.05 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4780) implies:
% 195.98/31.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | (4781) ~ (all_42_0 = e0)
% 195.98/31.05 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4379), (4779) imply:
% 195.98/31.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | (4782) ~ (all_28_1 = e0)
% 195.98/31.05 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4782) implies:
% 195.98/31.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | (4783) ~ (all_28_1 = e0)
% 195.98/31.05 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4760), (4779) imply:
% 195.98/31.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | (4784) ~ (e3 = e0)
% 195.98/31.05 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4677), (4779) imply:
% 195.98/31.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | (4785) ~ (e2 = e0)
% 195.98/31.05 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4706), (4779) imply:
% 195.98/31.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | (4786) ~ (e1 = e0)
% 195.98/31.05 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (160), (4779) imply:
% 195.98/31.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | (4787) op(e1, e0) = e0
% 195.98/31.05 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (225) gives:
% 195.98/31.05 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 195.98/31.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4788) (all_56_1 = e0 & op(e3, e2) = e0) | (all_56_3 = e0
% 195.98/31.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e0)
% 195.98/31.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4788) gives:
% 195.98/31.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 195.98/31.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4789) all_56_1 = e0 & op(e3, e2) = e0
% 195.98/31.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4789) implies:
% 195.98/31.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4790) all_56_1 = e0
% 195.98/31.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (206) gives:
% 195.98/31.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 195.98/31.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4791) all_56_15 = e0 & op(e0, e0) = e0
% 195.98/31.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4791) implies:
% 195.98/31.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4792) op(e0, e0) = e0
% 195.98/31.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (4679), (4792), (function-axioms) are
% 195.98/31.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1869.
% 195.98/31.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 195.98/31.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4793) ((all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 =
% 195.98/31.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_56_11 = e0 &
% 195.98/31.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e0)) & ((all_56_12 = e0 & op(e0,
% 195.98/31.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e0) | (all_56_13 = e0 & op(e0, e2) =
% 195.98/31.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) | (all_56_14 = e0 & op(e0, e1) = e0))
% 195.98/31.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4793) implies:
% 195.98/31.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4794) (all_56_12 = e0 & op(e0, e3) = e0) | (all_56_13 =
% 195.98/31.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0) | (all_56_14 = e0 & op(e0,
% 195.98/31.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0)
% 195.98/31.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (195) gives:
% 195.98/31.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 195.98/31.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4795) all_54_9 = e3
% 195.98/31.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4749), (4753), (4795) are inconsistent by
% 195.98/31.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1233.
% 195.98/31.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 195.98/31.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4796) ~ (all_54_9 = e3)
% 195.98/31.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4797) all_54_9 = e2 | all_54_9 = e1 | all_54_9 = e0
% 195.98/31.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4797) gives:
% 195.98/31.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 195.98/31.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4798) all_54_9 = e2
% 195.98/31.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4749), (4798) imply:
% 195.98/31.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4799) all_42_0 = e2
% 195.98/31.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4799) implies:
% 195.98/31.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4800) all_42_0 = e2
% 195.98/31.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4752), (4800) imply:
% 195.98/31.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4801) ~ (all_28_1 = e2)
% 195.98/31.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4801) implies:
% 195.98/31.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4802) ~ (all_28_1 = e2)
% 195.98/31.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (233) gives:
% 195.98/31.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 195.98/31.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4803) (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2
% 195.98/31.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e2)
% 195.98/31.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4803) gives:
% 195.98/31.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 195.98/31.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4804) all_56_0 = e2 & op(e3, e3) = e2
% 195.98/31.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4804) implies:
% 195.98/31.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4805) op(e3, e3) = e2
% 195.98/31.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (4362), (4805), (function-axioms) are
% 195.98/31.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1966.
% 195.98/31.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 195.98/31.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4806) all_56_2 = e2 & op(e2, e3) = e2
% 195.98/31.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4806) implies:
% 195.98/31.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4807) op(e2, e3) = e2
% 195.98/31.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (227) gives:
% 195.98/31.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 195.98/31.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4808) (all_56_1 = e2 & op(e3, e2) = e2) | (all_56_3 = e2
% 195.98/31.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e2)
% 195.98/31.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (9), (3900), (4790), (4808),
% 195.98/31.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 195.98/31.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1665.
% 195.98/31.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 195.98/31.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4809) (all_56_7 = e2 & op(e1, e2) = e2) | (all_56_13 =
% 195.98/31.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e2)
% 195.98/31.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4809) gives:
% 195.98/31.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 195.98/31.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4810) all_56_7 = e2 & op(e1, e2) = e2
% 195.98/31.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4810) implies:
% 195.98/31.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4811) all_56_7 = e2
% 195.98/31.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (196) gives:
% 195.98/31.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 195.98/31.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4812) all_54_8 = e3
% 195.98/31.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4372), (4812) imply:
% 195.98/31.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4813) all_28_1 = e3
% 195.98/31.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4813) implies:
% 195.98/31.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4814) all_28_1 = e3
% 195.98/31.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4375), (4814) imply:
% 195.98/31.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4815) ~ (all_52_3 = e3)
% 195.98/31.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4353), (4814) imply:
% 195.98/31.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4816) op(e1, e3) = e3
% 195.98/31.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (192) gives:
% 195.98/31.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 195.98/31.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4817) all_54_12 = e3
% 195.98/31.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (249), (4815), (4817) are inconsistent by
% 195.98/31.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1227.
% 195.98/31.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 195.98/31.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4818) ~ (all_54_12 = e3)
% 195.98/31.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4819) all_54_12 = e2 | all_54_12 = e1 | all_54_12 = e0
% 195.98/31.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4819) gives:
% 195.98/31.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 195.98/31.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4820) all_54_12 = e2
% 195.98/31.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (249), (4672), (4820) are inconsistent by
% 195.98/31.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1226.
% 195.98/31.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 195.98/31.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4821) ~ (all_54_12 = e2)
% 195.98/31.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4822) all_54_12 = e1 | all_54_12 = e0
% 195.98/31.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4822) gives:
% 195.98/31.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 195.98/31.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4823) all_54_12 = e1
% 195.98/31.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (249), (4741), (4823) are inconsistent by
% 195.98/31.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1278.
% 195.98/31.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 195.98/31.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4824) all_54_12 = e0
% 195.98/31.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (249), (4824) imply:
% 195.98/31.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4825) all_52_3 = e0
% 195.98/31.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4825) implies:
% 195.98/31.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4826) all_52_3 = e0
% 195.98/31.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (148), (4826) imply:
% 195.98/31.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4827) ~ (all_52_1 = e0)
% 195.98/31.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (159), (4826) imply:
% 195.98/31.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4828) op(e0, e3) = e0
% 195.98/31.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (200) gives:
% 195.98/31.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 195.98/31.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4829) all_54_4 = e3
% 195.98/31.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (269), (3895), (4829) are inconsistent by
% 195.98/31.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1282.
% 195.98/31.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 195.98/31.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4830) all_54_4 = e2 | all_54_4 = e1 | all_54_4 = e0
% 195.98/31.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (239) gives:
% 195.98/31.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 195.98/31.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4831) (all_57_1 = e2 & ~ (all_57_3 = e3) & ~ (all_57_8
% 195.98/31.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_10 = e2) & ~ (all_57_12 =
% 195.98/31.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_14 = e0) & op(e3, e3) = e2 &
% 195.98/31.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_3 & op(e2, all_57_9) =
% 195.98/31.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_8 & op(e2, all_57_11) = all_57_10 &
% 195.98/31.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_13) = all_57_12 & op(e2,
% 195.98/31.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15) = all_57_14 & op(e2, e3) = all_57_9
% 195.98/31.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = all_57_11 & op(e2, e1) =
% 195.98/31.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_13 & op(e2, e0) = all_57_15 &
% 195.98/31.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_3) & $i(all_57_8) & $i(all_57_9) &
% 195.98/31.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & $i(all_57_11) & $i(all_57_12) &
% 195.98/31.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13) & $i(all_57_14) & $i(all_57_15)) |
% 195.98/31.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e1 & ~ (all_57_5 = e3) & ~
% 195.98/31.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_16 = e3) & ~ (all_57_18 = e2) & ~
% 195.98/31.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_22 = e0) & op(e3,
% 195.98/31.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e1 & op(e3, e1) = all_57_5 & op(e1,
% 195.98/31.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17) = all_57_16 & op(e1, all_57_19) =
% 195.98/31.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_18 & op(e1, all_57_21) = all_57_20 &
% 195.98/31.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_23) = all_57_22 & op(e1, e3) =
% 195.98/31.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e1, e2) = all_57_19 & op(e1, e1)
% 195.98/31.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_21 & op(e1, e0) = all_57_23 &
% 195.98/31.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_16) & $i(all_57_17) &
% 195.98/31.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_19) & $i(all_57_20) &
% 195.98/31.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_22) & $i(all_57_23)) |
% 195.98/31.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e0 & ~ (all_57_7 = e3) & ~
% 195.98/31.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 195.98/31.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) & op(e3,
% 195.98/31.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e0 & op(e3, e0) = all_57_7 & op(e0,
% 195.98/31.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25) = all_57_24 & op(e0, all_57_27) =
% 195.98/31.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e0, all_57_29) = all_57_28 &
% 195.98/31.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_31) = all_57_30 & op(e0, e3) =
% 195.98/31.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_27 & op(e0, e1)
% 195.98/31.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_29 & op(e0, e0) = all_57_31 &
% 195.98/31.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7) & $i(all_57_24) & $i(all_57_25) &
% 195.98/31.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_27) & $i(all_57_28) &
% 195.98/31.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29) & $i(all_57_30) & $i(all_57_31)) |
% 195.98/31.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e3 & ~ (all_57_0 = e3) & ~
% 195.98/31.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e2) & ~ (all_57_4 = e1) & ~
% 195.98/31.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_6 = e0) & ~ (all_57_9 = e2) & op(e3,
% 195.98/31.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1) = all_57_0 & op(e3, all_57_3) =
% 195.98/31.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_2 & op(e3, all_57_5) = all_57_4 & op(e3,
% 195.98/31.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7) = all_57_6 & op(e3, e3) = all_57_1 &
% 195.98/31.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_3 & op(e3, e1) = all_57_5 &
% 195.98/31.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_7 & op(e2, e3) = all_57_9 &
% 195.98/31.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e3 & $i(all_57_0) & $i(all_57_1) &
% 195.98/31.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_2) & $i(all_57_3) & $i(all_57_4) &
% 195.98/31.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 195.98/31.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9))
% 195.98/31.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4831) gives:
% 195.98/31.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 195.98/31.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4832) (all_57_1 = e2 & ~ (all_57_3 = e3) & ~ (all_57_8
% 195.98/31.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_10 = e2) & ~ (all_57_12 =
% 195.98/31.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_14 = e0) & op(e3, e3) = e2 &
% 195.98/31.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_3 & op(e2, all_57_9) =
% 195.98/31.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_8 & op(e2, all_57_11) = all_57_10 &
% 195.98/31.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_13) = all_57_12 & op(e2,
% 195.98/31.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15) = all_57_14 & op(e2, e3) = all_57_9
% 195.98/31.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = all_57_11 & op(e2, e1) =
% 195.98/31.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_13 & op(e2, e0) = all_57_15 &
% 195.98/31.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_3) & $i(all_57_8) & $i(all_57_9) &
% 195.98/31.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & $i(all_57_11) & $i(all_57_12) &
% 195.98/31.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13) & $i(all_57_14) & $i(all_57_15)) |
% 195.98/31.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e1 & ~ (all_57_5 = e3) & ~
% 195.98/31.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_16 = e3) & ~ (all_57_18 = e2) & ~
% 195.98/31.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_22 = e0) & op(e3,
% 195.98/31.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e1 & op(e3, e1) = all_57_5 & op(e1,
% 195.98/31.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17) = all_57_16 & op(e1, all_57_19) =
% 195.98/31.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_18 & op(e1, all_57_21) = all_57_20 &
% 195.98/31.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_23) = all_57_22 & op(e1, e3) =
% 195.98/31.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e1, e2) = all_57_19 & op(e1, e1)
% 195.98/31.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_21 & op(e1, e0) = all_57_23 &
% 195.98/31.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_16) & $i(all_57_17) &
% 195.98/31.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_19) & $i(all_57_20) &
% 195.98/31.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_22) & $i(all_57_23))
% 195.98/31.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (36), (335), (372), (4362), (4702), (4832),
% 195.98/31.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 195.98/31.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1088.
% 195.98/31.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 195.98/31.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4833) (all_57_1 = e0 & ~ (all_57_7 = e3) & ~
% 195.98/31.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 195.98/31.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) & op(e3,
% 195.98/31.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e0 & op(e3, e0) = all_57_7 & op(e0,
% 195.98/31.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25) = all_57_24 & op(e0, all_57_27) =
% 195.98/31.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e0, all_57_29) = all_57_28 &
% 195.98/31.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_31) = all_57_30 & op(e0, e3) =
% 195.98/31.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_27 & op(e0, e1)
% 195.98/31.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_29 & op(e0, e0) = all_57_31 &
% 195.98/31.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7) & $i(all_57_24) & $i(all_57_25) &
% 195.98/31.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_27) & $i(all_57_28) &
% 195.98/31.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29) & $i(all_57_30) & $i(all_57_31)) |
% 195.98/31.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e3 & ~ (all_57_0 = e3) & ~
% 195.98/31.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e2) & ~ (all_57_4 = e1) & ~
% 195.98/31.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_6 = e0) & ~ (all_57_9 = e2) & op(e3,
% 195.98/31.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1) = all_57_0 & op(e3, all_57_3) =
% 195.98/31.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_2 & op(e3, all_57_5) = all_57_4 & op(e3,
% 195.98/31.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7) = all_57_6 & op(e3, e3) = all_57_1 &
% 195.98/31.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_3 & op(e3, e1) = all_57_5 &
% 195.98/31.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_7 & op(e2, e3) = all_57_9 &
% 195.98/31.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e3 & $i(all_57_0) & $i(all_57_1) &
% 195.98/31.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_2) & $i(all_57_3) & $i(all_57_4) &
% 195.98/31.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 195.98/31.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9))
% 195.98/31.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4761), (4807), (4833), (function-axioms) are
% 195.98/31.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1087.
% 195.98/31.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 195.98/31.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 195.98/31.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4834) (all_57_11 = e1 & ~ (all_57_13 = e2) & ~
% 195.98/31.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_16 = e3) & ~ (all_57_18 = e2) & ~
% 195.98/31.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_22 = e0) & op(e2,
% 195.98/31.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e1 & op(e2, e1) = all_57_13 & op(e1,
% 195.98/31.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17) = all_57_16 & op(e1, all_57_19) =
% 195.98/31.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_18 & op(e1, all_57_21) = all_57_20 &
% 195.98/31.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_23) = all_57_22 & op(e1, e3) =
% 195.98/31.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e1, e2) = all_57_19 & op(e1, e1)
% 195.98/31.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_21 & op(e1, e0) = all_57_23 &
% 195.98/31.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13) & $i(all_57_16) & $i(all_57_17) &
% 195.98/31.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_19) & $i(all_57_20) &
% 195.98/31.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_22) & $i(all_57_23)) |
% 195.98/31.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e0 & ~ (all_57_15 = e2) & ~
% 195.98/31.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 195.98/31.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) & op(e2,
% 195.98/31.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e0 & op(e2, e0) = all_57_15 & op(e0,
% 195.98/31.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25) = all_57_24 & op(e0, all_57_27) =
% 195.98/31.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e0, all_57_29) = all_57_28 &
% 195.98/31.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_31) = all_57_30 & op(e0, e3) =
% 195.98/31.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_27 & op(e0, e1)
% 195.98/31.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_29 & op(e0, e0) = all_57_31 &
% 195.98/31.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & $i(all_57_24) & $i(all_57_25) &
% 195.98/31.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_27) & $i(all_57_28) &
% 195.98/31.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29) & $i(all_57_30) & $i(all_57_31)) |
% 195.98/31.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e3 & ~ (all_57_0 = e3) & ~
% 195.98/31.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e2) & ~ (all_57_4 = e1) & ~
% 195.98/31.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_6 = e0) & ~ (all_57_17 = e1) & op(e3,
% 195.98/31.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1) = all_57_0 & op(e3, all_57_3) =
% 195.98/31.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_2 & op(e3, all_57_5) = all_57_4 & op(e3,
% 195.98/31.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7) = all_57_6 & op(e3, e3) = all_57_1 &
% 195.98/31.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_3 & op(e3, e1) = all_57_5 &
% 195.98/31.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_7 & op(e1, e3) = all_57_17 &
% 195.98/31.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e3 & $i(all_57_0) & $i(all_57_1) &
% 195.98/31.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_2) & $i(all_57_3) & $i(all_57_4) &
% 195.98/31.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 195.98/31.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_17)) | (all_57_21 = e2 & ~ (all_57_8
% 195.98/31.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_10 = e2) & ~ (all_57_12 =
% 195.98/31.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_14 = e0) & ~ (all_57_19 =
% 195.98/31.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & op(e2, all_57_9) = all_57_8 & op(e2,
% 195.98/31.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_11) = all_57_10 & op(e2, all_57_13) =
% 195.98/31.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & op(e2, all_57_15) = all_57_14 &
% 195.98/31.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_9 & op(e2, e2) = all_57_11 &
% 195.98/31.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_57_13 & op(e2, e0) = all_57_15
% 195.98/31.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = all_57_19 & op(e1, e1) = e2 &
% 195.98/31.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8) & $i(all_57_9) & $i(all_57_10) &
% 195.98/31.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_12) & $i(all_57_13) &
% 195.98/31.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & $i(all_57_15) & $i(all_57_19)) |
% 195.98/31.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (op(e0, e0) = all_57_31 & $i(all_57_31) &
% 195.98/31.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_21 = e0 & ~ (all_57_23 = e1) & ~
% 195.98/31.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 195.98/31.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) &
% 195.98/31.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = all_57_23 &
% 195.98/31.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_25) = all_57_24 & op(e0,
% 195.98/31.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27) = all_57_26 & op(e0, all_57_29)
% 195.98/31.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_28 & op(e0, all_57_31) = all_57_30
% 195.98/31.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e3) = all_57_25 & op(e0, e2) =
% 195.98/31.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27 & op(e0, e1) = all_57_29 &
% 195.98/31.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23) & $i(all_57_24) &
% 195.98/31.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_25) & $i(all_57_26) &
% 195.98/31.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27) & $i(all_57_28) &
% 195.98/31.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29) & $i(all_57_30)) | (all_57_31
% 195.98/31.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & ~ (all_57_0 = e3) & ~ (all_57_2 =
% 195.98/31.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_4 = e1) & ~ (all_57_6 =
% 195.98/31.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_25 = e0) & op(e3,
% 195.98/31.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1) = all_57_0 & op(e3, all_57_3) =
% 195.98/31.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_2 & op(e3, all_57_5) = all_57_4 &
% 195.98/31.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, all_57_7) = all_57_6 & op(e3, e3) =
% 195.98/31.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e2) = all_57_3 & op(e3,
% 195.98/31.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_5 & op(e3, e0) = all_57_7 &
% 195.98/31.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_25 & $i(all_57_0) &
% 195.98/31.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_2) & $i(all_57_3) &
% 195.98/31.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4) & $i(all_57_5) & $i(all_57_6) &
% 195.98/31.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7) & $i(all_57_25)) | (all_57_31 =
% 195.98/31.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_8 = e3) & ~ (all_57_10 =
% 195.98/31.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_12 = e1) & ~ (all_57_14
% 195.98/31.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_27 = e0) & op(e2,
% 195.98/31.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_9) = all_57_8 & op(e2, all_57_11) =
% 195.98/31.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e2, all_57_13) = all_57_12 &
% 195.98/31.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_15) = all_57_14 & op(e2, e3) =
% 195.98/31.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_9 & op(e2, e2) = all_57_11 & op(e2,
% 195.98/31.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_13 & op(e2, e0) = all_57_15 &
% 195.98/31.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_27 & $i(all_57_8) &
% 195.98/31.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9) & $i(all_57_10) & $i(all_57_11)
% 195.98/31.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_12) & $i(all_57_13) &
% 195.98/31.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & $i(all_57_15) &
% 195.98/31.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27)) | (all_57_31 = e1 & ~
% 195.98/31.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_16 = e3) & ~ (all_57_18 = e2) & ~
% 195.98/31.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_22 = e0) & ~
% 195.98/31.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_29 = e0) & op(e1, all_57_17) =
% 195.98/31.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_16 & op(e1, all_57_19) = all_57_18 &
% 195.98/31.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_21) = all_57_20 & op(e1,
% 195.98/31.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23) = all_57_22 & op(e1, e3) =
% 195.98/31.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e1, e2) = all_57_19 & op(e1,
% 195.98/31.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_21 & op(e1, e0) = all_57_23 &
% 195.98/31.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = all_57_29 & $i(all_57_16) &
% 195.98/31.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_17) & $i(all_57_18) &
% 195.98/31.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_20) &
% 195.98/31.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_22) &
% 195.98/31.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23) & $i(all_57_29))))
% 195.98/31.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4834) gives:
% 195.98/31.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 195.98/31.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4835) (all_57_11 = e1 & ~ (all_57_13 = e2) & ~
% 195.98/31.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_16 = e3) & ~ (all_57_18 = e2) & ~
% 195.98/31.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_22 = e0) & op(e2,
% 195.98/31.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e1 & op(e2, e1) = all_57_13 & op(e1,
% 195.98/31.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17) = all_57_16 & op(e1, all_57_19) =
% 195.98/31.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_18 & op(e1, all_57_21) = all_57_20 &
% 195.98/31.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_23) = all_57_22 & op(e1, e3) =
% 195.98/31.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e1, e2) = all_57_19 & op(e1, e1)
% 195.98/31.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_21 & op(e1, e0) = all_57_23 &
% 195.98/31.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13) & $i(all_57_16) & $i(all_57_17) &
% 195.98/31.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_19) & $i(all_57_20) &
% 195.98/31.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_22) & $i(all_57_23)) |
% 195.98/31.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e0 & ~ (all_57_15 = e2) & ~
% 195.98/31.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 195.98/31.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) & op(e2,
% 195.98/31.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e0 & op(e2, e0) = all_57_15 & op(e0,
% 195.98/31.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25) = all_57_24 & op(e0, all_57_27) =
% 195.98/31.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e0, all_57_29) = all_57_28 &
% 195.98/31.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_31) = all_57_30 & op(e0, e3) =
% 195.98/31.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_27 & op(e0, e1)
% 195.98/31.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_29 & op(e0, e0) = all_57_31 &
% 195.98/31.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & $i(all_57_24) & $i(all_57_25) &
% 195.98/31.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_27) & $i(all_57_28) &
% 195.98/31.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29) & $i(all_57_30) & $i(all_57_31))
% 195.98/31.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (226), (227), (228),
% 195.98/31.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3900), (4790), (4835), (function-axioms) are
% 195.98/31.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1086.
% 195.98/31.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 195.98/31.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4836) (all_57_21 = e3 & ~ (all_57_0 = e3) & ~
% 195.98/31.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e2) & ~ (all_57_4 = e1) & ~
% 195.98/31.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_6 = e0) & ~ (all_57_17 = e1) & op(e3,
% 195.98/31.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1) = all_57_0 & op(e3, all_57_3) =
% 195.98/31.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_2 & op(e3, all_57_5) = all_57_4 & op(e3,
% 195.98/31.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7) = all_57_6 & op(e3, e3) = all_57_1 &
% 195.98/31.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_3 & op(e3, e1) = all_57_5 &
% 195.98/31.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_7 & op(e1, e3) = all_57_17 &
% 195.98/31.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e3 & $i(all_57_0) & $i(all_57_1) &
% 195.98/31.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_2) & $i(all_57_3) & $i(all_57_4) &
% 195.98/31.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 195.98/31.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_17)) | (all_57_21 = e2 & ~ (all_57_8
% 195.98/31.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_10 = e2) & ~ (all_57_12 =
% 195.98/31.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_14 = e0) & ~ (all_57_19 =
% 195.98/31.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & op(e2, all_57_9) = all_57_8 & op(e2,
% 195.98/31.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_11) = all_57_10 & op(e2, all_57_13) =
% 195.98/31.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & op(e2, all_57_15) = all_57_14 &
% 195.98/31.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_9 & op(e2, e2) = all_57_11 &
% 195.98/31.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_57_13 & op(e2, e0) = all_57_15
% 195.98/31.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = all_57_19 & op(e1, e1) = e2 &
% 195.98/31.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8) & $i(all_57_9) & $i(all_57_10) &
% 195.98/31.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_12) & $i(all_57_13) &
% 195.98/31.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & $i(all_57_15) & $i(all_57_19)) |
% 195.98/31.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (op(e0, e0) = all_57_31 & $i(all_57_31) &
% 195.98/31.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_21 = e0 & ~ (all_57_23 = e1) & ~
% 195.98/31.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 195.98/31.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) &
% 195.98/31.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = all_57_23 &
% 195.98/31.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_25) = all_57_24 & op(e0,
% 195.98/31.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27) = all_57_26 & op(e0, all_57_29)
% 195.98/31.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_28 & op(e0, all_57_31) = all_57_30
% 195.98/31.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e3) = all_57_25 & op(e0, e2) =
% 195.98/31.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27 & op(e0, e1) = all_57_29 &
% 195.98/31.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23) & $i(all_57_24) &
% 195.98/31.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_25) & $i(all_57_26) &
% 195.98/31.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27) & $i(all_57_28) &
% 195.98/31.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29) & $i(all_57_30)) | (all_57_31
% 195.98/31.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & ~ (all_57_0 = e3) & ~ (all_57_2 =
% 195.98/31.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_4 = e1) & ~ (all_57_6 =
% 195.98/31.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_25 = e0) & op(e3,
% 195.98/31.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1) = all_57_0 & op(e3, all_57_3) =
% 195.98/31.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_2 & op(e3, all_57_5) = all_57_4 &
% 195.98/31.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, all_57_7) = all_57_6 & op(e3, e3) =
% 195.98/31.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e2) = all_57_3 & op(e3,
% 195.98/31.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_5 & op(e3, e0) = all_57_7 &
% 195.98/31.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_25 & $i(all_57_0) &
% 195.98/31.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_2) & $i(all_57_3) &
% 195.98/31.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4) & $i(all_57_5) & $i(all_57_6) &
% 195.98/31.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7) & $i(all_57_25)) | (all_57_31 =
% 195.98/31.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_8 = e3) & ~ (all_57_10 =
% 195.98/31.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_12 = e1) & ~ (all_57_14
% 195.98/31.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_27 = e0) & op(e2,
% 195.98/31.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_9) = all_57_8 & op(e2, all_57_11) =
% 195.98/31.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e2, all_57_13) = all_57_12 &
% 195.98/31.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_15) = all_57_14 & op(e2, e3) =
% 195.98/31.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_9 & op(e2, e2) = all_57_11 & op(e2,
% 195.98/31.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_13 & op(e2, e0) = all_57_15 &
% 195.98/31.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_27 & $i(all_57_8) &
% 195.98/31.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9) & $i(all_57_10) & $i(all_57_11)
% 195.98/31.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_12) & $i(all_57_13) &
% 195.98/31.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & $i(all_57_15) &
% 195.98/31.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27)) | (all_57_31 = e1 & ~
% 195.98/31.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_16 = e3) & ~ (all_57_18 = e2) & ~
% 195.98/31.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_22 = e0) & ~
% 195.98/31.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_29 = e0) & op(e1, all_57_17) =
% 195.98/31.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_16 & op(e1, all_57_19) = all_57_18 &
% 195.98/31.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_21) = all_57_20 & op(e1,
% 195.98/31.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23) = all_57_22 & op(e1, e3) =
% 195.98/31.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e1, e2) = all_57_19 & op(e1,
% 195.98/31.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_21 & op(e1, e0) = all_57_23 &
% 195.98/31.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = all_57_29 & $i(all_57_16) &
% 195.98/31.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_17) & $i(all_57_18) &
% 195.98/31.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_20) &
% 195.98/31.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_22) &
% 195.98/31.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23) & $i(all_57_29))))
% 195.98/31.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4836) gives:
% 195.98/31.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 195.98/31.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4837) all_57_21 = e3 & ~ (all_57_0 = e3) & ~ (all_57_2
% 195.98/31.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2) & ~ (all_57_4 = e1) & ~ (all_57_6 = e0)
% 195.98/31.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_17 = e1) & op(e3, all_57_1) =
% 195.98/31.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_0 & op(e3, all_57_3) = all_57_2 & op(e3,
% 195.98/31.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_5) = all_57_4 & op(e3, all_57_7) =
% 195.98/31.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_6 & op(e3, e3) = all_57_1 & op(e3, e2) =
% 195.98/31.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 & op(e3, e1) = all_57_5 & op(e3, e0) =
% 195.98/31.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7 & op(e1, e3) = all_57_17 & op(e1, e1) =
% 195.98/31.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & $i(all_57_0) & $i(all_57_1) & $i(all_57_2) &
% 195.98/31.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_3) & $i(all_57_4) & $i(all_57_5) &
% 195.98/31.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_6) & $i(all_57_7) & $i(all_57_17)
% 195.98/31.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4837) implies:
% 195.98/31.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4838) op(e1, e1) = e3
% 195.98/31.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (8), (214), (4787), (4811), (4816),
% 195.98/31.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4838), (function-axioms) are inconsistent by
% 195.98/31.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1355.
% 195.98/31.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 195.98/31.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4839) (all_57_21 = e2 & ~ (all_57_8 = e3) & ~
% 195.98/31.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e2) & ~ (all_57_12 = e1) & ~
% 195.98/31.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e0) & ~ (all_57_19 = e1) & op(e2,
% 195.98/31.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_9) = all_57_8 & op(e2, all_57_11) =
% 195.98/31.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e2, all_57_13) = all_57_12 &
% 195.98/31.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_15) = all_57_14 & op(e2, e3) =
% 195.98/31.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_9 & op(e2, e2) = all_57_11 & op(e2, e1) =
% 195.98/31.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_13 & op(e2, e0) = all_57_15 & op(e1, e2)
% 195.98/31.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_19 & op(e1, e1) = e2 & $i(all_57_8) &
% 195.98/31.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9) & $i(all_57_10) & $i(all_57_11) &
% 195.98/31.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & $i(all_57_13) & $i(all_57_14) &
% 195.98/31.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & $i(all_57_19)) | (op(e0, e0) =
% 195.98/31.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_31 & $i(all_57_31) & ((all_57_21 = e0 &
% 195.98/31.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_23 = e1) & ~ (all_57_24 = e3) &
% 195.98/31.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_26 = e2) & ~ (all_57_28 = e1) &
% 195.98/31.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_30 = e0) & op(e1, e1) = e0 &
% 195.98/31.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_23 & op(e0, all_57_25) =
% 195.98/31.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_24 & op(e0, all_57_27) = all_57_26 &
% 195.98/31.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_29) = all_57_28 & op(e0,
% 195.98/31.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_31) = all_57_30 & op(e0, e3) =
% 195.98/31.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_27 & op(e0,
% 195.98/31.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_29 & $i(all_57_23) &
% 195.98/31.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_24) & $i(all_57_25) &
% 195.98/31.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_27) &
% 195.98/31.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28) & $i(all_57_29) &
% 195.98/31.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_31 = e3 & ~
% 195.98/31.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_0 = e3) & ~ (all_57_2 = e2) & ~
% 195.98/31.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1) & ~ (all_57_6 = e0) & ~
% 195.98/31.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_25 = e0) & op(e3, all_57_1) =
% 195.98/31.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_0 & op(e3, all_57_3) = all_57_2 &
% 195.98/31.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, all_57_5) = all_57_4 & op(e3,
% 195.98/31.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7) = all_57_6 & op(e3, e3) =
% 195.98/31.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e2) = all_57_3 & op(e3,
% 195.98/31.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_5 & op(e3, e0) = all_57_7 &
% 195.98/31.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_25 & $i(all_57_0) &
% 195.98/31.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_2) & $i(all_57_3) &
% 195.98/31.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4) & $i(all_57_5) & $i(all_57_6) &
% 195.98/31.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7) & $i(all_57_25)) | (all_57_31 =
% 195.98/31.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_8 = e3) & ~ (all_57_10 =
% 195.98/31.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_12 = e1) & ~ (all_57_14
% 195.98/31.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_27 = e0) & op(e2,
% 195.98/31.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_9) = all_57_8 & op(e2, all_57_11) =
% 195.98/31.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e2, all_57_13) = all_57_12 &
% 195.98/31.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_15) = all_57_14 & op(e2, e3) =
% 195.98/31.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_9 & op(e2, e2) = all_57_11 & op(e2,
% 195.98/31.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_13 & op(e2, e0) = all_57_15 &
% 195.98/31.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_27 & $i(all_57_8) &
% 195.98/31.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9) & $i(all_57_10) & $i(all_57_11)
% 195.98/31.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_12) & $i(all_57_13) &
% 195.98/31.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & $i(all_57_15) &
% 195.98/31.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27)) | (all_57_31 = e1 & ~
% 195.98/31.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_16 = e3) & ~ (all_57_18 = e2) & ~
% 195.98/31.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_22 = e0) & ~
% 195.98/31.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_29 = e0) & op(e1, all_57_17) =
% 195.98/31.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_16 & op(e1, all_57_19) = all_57_18 &
% 195.98/31.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_21) = all_57_20 & op(e1,
% 195.98/31.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23) = all_57_22 & op(e1, e3) =
% 195.98/31.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e1, e2) = all_57_19 & op(e1,
% 195.98/31.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_21 & op(e1, e0) = all_57_23 &
% 195.98/31.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = all_57_29 & $i(all_57_16) &
% 195.98/31.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_17) & $i(all_57_18) &
% 195.98/31.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_20) &
% 195.98/31.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_22) &
% 195.98/31.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23) & $i(all_57_29))))
% 195.98/31.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4839) gives:
% 195.98/31.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 195.98/31.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4840) all_57_21 = e2 & ~ (all_57_8 = e3) & ~
% 195.98/31.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e2) & ~ (all_57_12 = e1) & ~
% 195.98/31.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e0) & ~ (all_57_19 = e1) & op(e2,
% 195.98/31.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_9) = all_57_8 & op(e2, all_57_11) =
% 195.98/31.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e2, all_57_13) = all_57_12 & op(e2,
% 195.98/31.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15) = all_57_14 & op(e2, e3) = all_57_9 &
% 195.98/31.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_11 & op(e2, e1) = all_57_13 &
% 195.98/31.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_15 & op(e1, e2) = all_57_19 &
% 195.98/31.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e2 & $i(all_57_8) & $i(all_57_9) &
% 195.98/31.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & $i(all_57_11) & $i(all_57_12) &
% 195.98/31.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13) & $i(all_57_14) & $i(all_57_15) &
% 195.98/31.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19)
% 195.98/31.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4840) implies:
% 195.98/31.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4841) op(e1, e1) = e2
% 195.98/31.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (4709), (4841), (function-axioms) are
% 195.98/31.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1957.
% 195.98/31.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 195.98/31.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4842) op(e0, e0) = all_57_31 & $i(all_57_31) &
% 195.98/31.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_21 = e0 & ~ (all_57_23 = e1) & ~
% 195.98/31.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 195.98/31.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) &
% 195.98/31.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = all_57_23 &
% 195.98/31.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_25) = all_57_24 & op(e0,
% 195.98/31.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27) = all_57_26 & op(e0, all_57_29) =
% 195.98/31.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_28 & op(e0, all_57_31) = all_57_30 &
% 195.98/31.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_25 & op(e0, e2) =
% 195.98/31.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27 & op(e0, e1) = all_57_29 &
% 195.98/31.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23) & $i(all_57_24) & $i(all_57_25)
% 195.98/31.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_26) & $i(all_57_27) &
% 195.98/31.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28) & $i(all_57_29) & $i(all_57_30))
% 195.98/31.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e3 & ~ (all_57_0 = e3) & ~
% 195.98/31.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e2) & ~ (all_57_4 = e1) & ~
% 195.98/31.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_6 = e0) & ~ (all_57_25 = e0) & op(e3,
% 195.98/31.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1) = all_57_0 & op(e3, all_57_3) =
% 195.98/31.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_2 & op(e3, all_57_5) = all_57_4 &
% 195.98/31.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, all_57_7) = all_57_6 & op(e3, e3) =
% 195.98/31.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e2) = all_57_3 & op(e3, e1)
% 195.98/31.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_5 & op(e3, e0) = all_57_7 & op(e0,
% 195.98/31.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_25 & $i(all_57_0) &
% 195.98/31.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_2) & $i(all_57_3) &
% 195.98/31.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4) & $i(all_57_5) & $i(all_57_6) &
% 195.98/31.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7) & $i(all_57_25)) | (all_57_31 =
% 195.98/31.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_8 = e3) & ~ (all_57_10 = e2)
% 195.98/31.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_12 = e1) & ~ (all_57_14 = e0) &
% 195.98/31.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_27 = e0) & op(e2, all_57_9) =
% 195.98/31.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_8 & op(e2, all_57_11) = all_57_10 &
% 195.98/31.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_13) = all_57_12 & op(e2,
% 195.98/31.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15) = all_57_14 & op(e2, e3) =
% 195.98/31.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_9 & op(e2, e2) = all_57_11 & op(e2, e1)
% 195.98/31.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_13 & op(e2, e0) = all_57_15 & op(e0,
% 195.98/31.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_27 & $i(all_57_8) &
% 195.98/31.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9) & $i(all_57_10) & $i(all_57_11) &
% 195.98/31.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & $i(all_57_13) & $i(all_57_14)
% 195.98/31.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_15) & $i(all_57_27)) | (all_57_31
% 195.98/31.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_16 = e3) & ~ (all_57_18 =
% 195.98/31.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_20 = e1) & ~ (all_57_22 =
% 195.98/31.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_29 = e0) & op(e1,
% 195.98/31.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17) = all_57_16 & op(e1, all_57_19) =
% 195.98/31.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_18 & op(e1, all_57_21) = all_57_20 &
% 195.98/31.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_23) = all_57_22 & op(e1, e3) =
% 195.98/31.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e1, e2) = all_57_19 & op(e1,
% 195.98/31.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_21 & op(e1, e0) = all_57_23 &
% 195.98/31.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = all_57_29 & $i(all_57_16) &
% 195.98/31.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_17) & $i(all_57_18) & $i(all_57_19)
% 195.98/31.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_20) & $i(all_57_21) &
% 195.98/31.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_23) &
% 195.98/31.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29)))
% 195.98/31.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4842) implies:
% 195.98/31.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4843) (all_57_21 = e0 & ~ (all_57_23 = e1) & ~
% 195.98/31.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 195.98/31.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) & op(e1,
% 195.98/31.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0 & op(e1, e0) = all_57_23 & op(e0,
% 195.98/31.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25) = all_57_24 & op(e0, all_57_27) =
% 195.98/31.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e0, all_57_29) = all_57_28 &
% 195.98/31.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_31) = all_57_30 & op(e0, e3) =
% 195.98/31.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_27 & op(e0, e1)
% 195.98/31.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_29 & $i(all_57_23) & $i(all_57_24) &
% 195.98/31.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_25) & $i(all_57_26) & $i(all_57_27) &
% 195.98/31.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28) & $i(all_57_29) & $i(all_57_30)) |
% 195.98/31.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e3 & ~ (all_57_0 = e3) & ~
% 195.98/31.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e2) & ~ (all_57_4 = e1) & ~
% 195.98/31.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_6 = e0) & ~ (all_57_25 = e0) & op(e3,
% 195.98/31.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1) = all_57_0 & op(e3, all_57_3) =
% 195.98/31.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_2 & op(e3, all_57_5) = all_57_4 & op(e3,
% 195.98/31.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7) = all_57_6 & op(e3, e3) = all_57_1 &
% 195.98/31.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_3 & op(e3, e1) = all_57_5 &
% 195.98/31.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_7 & op(e0, e3) = all_57_25 &
% 195.98/31.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_0) & $i(all_57_1) & $i(all_57_2) &
% 195.98/31.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_3) & $i(all_57_4) & $i(all_57_5) &
% 195.98/31.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_6) & $i(all_57_7) & $i(all_57_25)) |
% 195.98/31.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e2 & ~ (all_57_8 = e3) & ~
% 195.98/31.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e2) & ~ (all_57_12 = e1) & ~
% 195.98/31.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e0) & ~ (all_57_27 = e0) & op(e2,
% 195.98/31.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_9) = all_57_8 & op(e2, all_57_11) =
% 195.98/31.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e2, all_57_13) = all_57_12 &
% 195.98/31.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_15) = all_57_14 & op(e2, e3) =
% 195.98/31.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_9 & op(e2, e2) = all_57_11 & op(e2, e1) =
% 195.98/31.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_13 & op(e2, e0) = all_57_15 & op(e0, e2)
% 195.98/31.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_27 & $i(all_57_8) & $i(all_57_9) &
% 195.98/31.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & $i(all_57_11) & $i(all_57_12) &
% 195.98/31.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13) & $i(all_57_14) & $i(all_57_15) &
% 195.98/31.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27)) | (all_57_31 = e1 & ~ (all_57_16
% 195.98/31.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_18 = e2) & ~ (all_57_20 =
% 195.98/31.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_22 = e0) & ~ (all_57_29 =
% 195.98/31.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & op(e1, all_57_17) = all_57_16 & op(e1,
% 195.98/31.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_19) = all_57_18 & op(e1, all_57_21) =
% 195.98/31.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20 & op(e1, all_57_23) = all_57_22 &
% 195.98/31.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_17 & op(e1, e2) = all_57_19
% 195.98/31.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = all_57_21 & op(e1, e0) =
% 195.98/31.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23 & op(e0, e1) = all_57_29 &
% 195.98/31.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_16) & $i(all_57_17) & $i(all_57_18) &
% 195.98/31.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_20) & $i(all_57_21) &
% 195.98/31.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_23) & $i(all_57_29))
% 195.98/31.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4843) gives:
% 195.98/31.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 195.98/31.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4844) (all_57_21 = e0 & ~ (all_57_23 = e1) & ~
% 195.98/31.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 195.98/31.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) & op(e1,
% 195.98/31.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0 & op(e1, e0) = all_57_23 & op(e0,
% 195.98/31.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25) = all_57_24 & op(e0, all_57_27) =
% 195.98/31.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e0, all_57_29) = all_57_28 &
% 195.98/31.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_31) = all_57_30 & op(e0, e3) =
% 195.98/31.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_27 & op(e0, e1)
% 195.98/31.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_29 & $i(all_57_23) & $i(all_57_24) &
% 195.98/31.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_25) & $i(all_57_26) & $i(all_57_27) &
% 195.98/31.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28) & $i(all_57_29) & $i(all_57_30)) |
% 195.98/31.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e3 & ~ (all_57_0 = e3) & ~
% 195.98/31.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e2) & ~ (all_57_4 = e1) & ~
% 195.98/31.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_6 = e0) & ~ (all_57_25 = e0) & op(e3,
% 195.98/31.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1) = all_57_0 & op(e3, all_57_3) =
% 195.98/31.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_2 & op(e3, all_57_5) = all_57_4 & op(e3,
% 195.98/31.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7) = all_57_6 & op(e3, e3) = all_57_1 &
% 195.98/31.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_3 & op(e3, e1) = all_57_5 &
% 195.98/31.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_7 & op(e0, e3) = all_57_25 &
% 195.98/31.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_0) & $i(all_57_1) & $i(all_57_2) &
% 195.98/31.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_3) & $i(all_57_4) & $i(all_57_5) &
% 195.98/31.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_6) & $i(all_57_7) & $i(all_57_25))
% 195.98/31.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4844) gives:
% 195.98/31.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 195.98/31.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4845) all_57_21 = e0 & ~ (all_57_23 = e1) & ~
% 195.98/31.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 195.98/31.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) & op(e1,
% 195.98/31.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0 & op(e1, e0) = all_57_23 & op(e0,
% 195.98/31.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25) = all_57_24 & op(e0, all_57_27) =
% 195.98/31.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e0, all_57_29) = all_57_28 & op(e0,
% 195.98/31.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_31) = all_57_30 & op(e0, e3) = all_57_25
% 195.98/31.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e2) = all_57_27 & op(e0, e1) = all_57_29
% 195.98/31.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_23) & $i(all_57_24) & $i(all_57_25) &
% 195.98/31.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_27) & $i(all_57_28) &
% 195.98/31.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29) & $i(all_57_30)
% 195.98/31.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4845) implies:
% 195.98/31.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4846) op(e1, e1) = e0
% 195.98/31.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (4709), (4846), (function-axioms) are
% 195.98/31.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1956.
% 195.98/31.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 195.98/31.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4847) all_57_31 = e3 & ~ (all_57_0 = e3) & ~ (all_57_2
% 195.98/31.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2) & ~ (all_57_4 = e1) & ~ (all_57_6 = e0)
% 195.98/31.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_25 = e0) & op(e3, all_57_1) =
% 195.98/31.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_0 & op(e3, all_57_3) = all_57_2 & op(e3,
% 195.98/31.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_5) = all_57_4 & op(e3, all_57_7) =
% 195.98/31.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_6 & op(e3, e3) = all_57_1 & op(e3, e2) =
% 195.98/31.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 & op(e3, e1) = all_57_5 & op(e3, e0) =
% 195.98/31.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7 & op(e0, e3) = all_57_25 & $i(all_57_0) &
% 195.98/31.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_2) & $i(all_57_3) &
% 195.98/31.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4) & $i(all_57_5) & $i(all_57_6) &
% 195.98/31.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7) & $i(all_57_25)
% 195.98/31.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4828), (4847), (function-axioms) are inconsistent
% 195.98/31.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1849.
% 195.98/31.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 195.98/31.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 195.98/31.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4848) (all_57_31 = e2 & ~ (all_57_8 = e3) & ~
% 195.98/31.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e2) & ~ (all_57_12 = e1) & ~
% 195.98/31.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e0) & ~ (all_57_27 = e0) & op(e2,
% 195.98/31.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_9) = all_57_8 & op(e2, all_57_11) =
% 195.98/31.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e2, all_57_13) = all_57_12 &
% 195.98/31.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_15) = all_57_14 & op(e2, e3) =
% 195.98/31.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_9 & op(e2, e2) = all_57_11 & op(e2, e1) =
% 195.98/31.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_13 & op(e2, e0) = all_57_15 & op(e0, e2)
% 195.98/31.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_27 & $i(all_57_8) & $i(all_57_9) &
% 195.98/31.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & $i(all_57_11) & $i(all_57_12) &
% 195.98/31.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13) & $i(all_57_14) & $i(all_57_15) &
% 195.98/31.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27)) | (all_57_31 = e1 & ~ (all_57_16
% 195.98/31.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_18 = e2) & ~ (all_57_20 =
% 195.98/31.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_22 = e0) & ~ (all_57_29 =
% 195.98/31.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & op(e1, all_57_17) = all_57_16 & op(e1,
% 195.98/31.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_19) = all_57_18 & op(e1, all_57_21) =
% 195.98/31.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20 & op(e1, all_57_23) = all_57_22 &
% 195.98/31.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_17 & op(e1, e2) = all_57_19
% 195.98/31.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = all_57_21 & op(e1, e0) =
% 195.98/31.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23 & op(e0, e1) = all_57_29 &
% 195.98/31.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_16) & $i(all_57_17) & $i(all_57_18) &
% 195.98/31.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_20) & $i(all_57_21) &
% 195.98/31.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_23) & $i(all_57_29))
% 195.98/31.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4848) gives:
% 195.98/31.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 195.98/31.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4849) all_57_31 = e2 & ~ (all_57_8 = e3) & ~
% 195.98/31.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e2) & ~ (all_57_12 = e1) & ~
% 195.98/31.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e0) & ~ (all_57_27 = e0) & op(e2,
% 195.98/31.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_9) = all_57_8 & op(e2, all_57_11) =
% 195.98/31.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e2, all_57_13) = all_57_12 & op(e2,
% 195.98/31.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15) = all_57_14 & op(e2, e3) = all_57_9 &
% 195.98/31.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_11 & op(e2, e1) = all_57_13 &
% 195.98/31.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_15 & op(e0, e2) = all_57_27 &
% 195.98/31.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8) & $i(all_57_9) & $i(all_57_10) &
% 195.98/31.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_12) & $i(all_57_13) &
% 195.98/31.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & $i(all_57_15) & $i(all_57_27)
% 195.98/31.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4849) implies:
% 195.98/31.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4850) ~ (all_57_10 = e2)
% 195.98/31.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4851) op(e2, e2) = all_57_11
% 195.98/31.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4852) op(e2, e3) = all_57_9
% 195.98/31.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4853) op(e2, all_57_11) = all_57_10
% 195.98/31.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (167), (269), (3900), (4740), (4827), (4830),
% 195.98/31.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4850), (4851), (4852), (4853), (function-axioms)
% 195.98/31.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1084.
% 195.98/31.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 195.98/31.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4854) all_57_31 = e1 & ~ (all_57_16 = e3) & ~
% 195.98/31.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_18 = e2) & ~ (all_57_20 = e1) & ~
% 195.98/31.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_22 = e0) & ~ (all_57_29 = e0) & op(e1,
% 195.98/31.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17) = all_57_16 & op(e1, all_57_19) =
% 195.98/31.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_18 & op(e1, all_57_21) = all_57_20 & op(e1,
% 195.98/31.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23) = all_57_22 & op(e1, e3) = all_57_17
% 195.98/31.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = all_57_19 & op(e1, e1) = all_57_21
% 195.98/31.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e0) = all_57_23 & op(e0, e1) = all_57_29
% 195.98/31.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_16) & $i(all_57_17) & $i(all_57_18) &
% 195.98/31.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_20) & $i(all_57_21) &
% 195.98/31.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_23) & $i(all_57_29)
% 195.98/31.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4854) implies:
% 195.98/31.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4855) ~ (all_57_20 = e1)
% 195.98/31.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4856) op(e1, e1) = all_57_21
% 195.98/31.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4857) op(e1, all_57_21) = all_57_20
% 195.98/31.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (335), (372), (4702), (4855), (4856),
% 195.98/31.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4857), (function-axioms) are inconsistent by
% 195.98/31.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1885.
% 195.98/31.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 195.98/31.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 195.98/31.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 195.98/31.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 195.98/31.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 195.98/31.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 195.98/31.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 195.98/31.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 195.98/31.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 195.98/31.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 195.98/31.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 195.98/31.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4858) all_54_8 = e2 | all_54_8 = e1 | all_54_8 = e0
% 195.98/31.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4372), (4707), (4783), (4802), (4858) are
% 195.98/31.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1083.
% 195.98/31.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 195.98/31.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 195.98/31.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4859) all_56_13 = e2 & op(e0, e2) = e2
% 195.98/31.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (158), (4673), (4859), (function-axioms) are
% 195.98/31.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1969.
% 195.98/31.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 195.98/31.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 195.98/31.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 195.98/31.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 195.98/31.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4860) (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_12 =
% 195.98/31.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e3) = e2)
% 195.98/31.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4860) gives:
% 195.98/31.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 195.98/31.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4861) all_56_6 = e2 & op(e1, e3) = e2
% 195.98/31.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (4764), (4861) are inconsistent by sub-proof
% 195.98/31.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1745.
% 195.98/31.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 195.98/31.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4862) all_56_12 = e2 & op(e0, e3) = e2
% 195.98/31.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4862) implies:
% 195.98/31.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4863) all_56_12 = e2
% 195.98/31.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4864) op(e0, e3) = e2
% 195.98/31.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (45), (207), (209),
% 195.98/31.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (376), (4679), (4729), (4794), (4863), (4864),
% 195.98/31.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 195.98/31.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1401.
% 195.98/31.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 195.98/31.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 195.98/31.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 195.98/31.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4865) all_54_9 = e1 | all_54_9 = e0
% 195.98/31.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4865) gives:
% 195.98/31.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 195.98/31.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4866) all_54_9 = e1
% 195.98/31.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4749), (4866) imply:
% 195.98/31.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4867) all_42_0 = e1
% 195.98/31.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4867) implies:
% 195.98/31.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4868) all_42_0 = e1
% 195.98/31.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4754), (4868) imply:
% 195.98/31.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4869) $false
% 195.98/31.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (4869) is inconsistent.
% 195.98/31.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 195.98/31.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4870) all_54_9 = e0
% 195.98/31.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4749), (4870) imply:
% 195.98/31.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4871) all_42_0 = e0
% 195.98/31.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4871) implies:
% 195.98/31.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4872) all_42_0 = e0
% 195.98/31.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4781), (4872) imply:
% 195.98/31.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4873) $false
% 195.98/31.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (4873) is inconsistent.
% 195.98/31.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 195.98/31.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 195.98/31.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 195.98/31.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 195.98/31.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 195.98/31.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4874) all_56_3 = e0 & op(e2, e2) = e0
% 195.98/31.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4874) implies:
% 195.98/31.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4875) op(e2, e2) = e0
% 195.98/31.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (3900), (4875), (function-axioms) are
% 195.98/31.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1661.
% 195.98/31.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 195.98/31.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 195.98/31.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4876) (all_56_7 = e0 & op(e1, e2) = e0) | (all_56_13 =
% 195.98/31.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0)
% 195.98/31.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4876) gives:
% 195.98/31.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 195.98/31.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4877) all_56_7 = e0 & op(e1, e2) = e0
% 195.98/31.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4877) implies:
% 195.98/31.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4878) all_56_7 = e0
% 195.98/31.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (236) gives:
% 195.98/31.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 195.98/31.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4879) (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_1 = e3
% 195.98/31.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e3)
% 195.98/31.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (170), (3896), (4362), (4879),
% 195.98/31.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 195.98/31.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1115.
% 195.98/31.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 195.98/31.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4880) (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_9 = e3
% 195.98/31.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e3)
% 195.98/31.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4880) gives:
% 195.98/31.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 195.98/31.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4881) all_56_4 = e3 & op(e3, e1) = e3
% 195.98/31.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4881) implies:
% 195.98/31.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4882) op(e3, e1) = e3
% 195.98/31.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (169), (4758), (4882), (function-axioms) are
% 195.98/31.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1930.
% 195.98/31.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 195.98/31.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4883) all_56_9 = e3 & op(e3, e0) = e3
% 195.98/31.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4883) implies:
% 195.98/31.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4884) all_56_9 = e3
% 195.98/31.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (206) gives:
% 195.98/31.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 195.98/31.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4885) all_56_15 = e0 & op(e0, e0) = e0
% 195.98/31.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4885) implies:
% 195.98/31.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4886) op(e0, e0) = e0
% 195.98/31.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (4679), (4886), (function-axioms) are
% 195.98/31.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1869.
% 195.98/31.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 195.98/31.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4887) ((all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 =
% 195.98/31.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_56_11 = e0 &
% 195.98/31.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e0)) & ((all_56_12 = e0 & op(e0,
% 195.98/31.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e0) | (all_56_13 = e0 & op(e0, e2) =
% 195.98/31.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) | (all_56_14 = e0 & op(e0, e1) = e0))
% 195.98/31.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4887) implies:
% 195.98/31.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4888) (all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 =
% 195.98/31.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_56_11 = e0 & op(e1,
% 195.98/31.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e0)
% 195.98/31.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (215) gives:
% 195.98/31.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 195.98/31.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4889) (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_7 = e2
% 195.98/31.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e2)
% 195.98/31.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (9), (4764), (4878), (4889) are inconsistent
% 195.98/31.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1082.
% 195.98/31.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 195.98/31.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4890) (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_11 =
% 195.98/31.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e1, e0) = e2)
% 195.98/31.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4890) gives:
% 195.98/31.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 195.98/31.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4891) all_56_8 = e2 & op(e1, e1) = e2
% 195.98/31.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4891) implies:
% 195.98/31.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4892) op(e1, e1) = e2
% 195.98/31.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (4709), (4892), (function-axioms) are
% 195.98/31.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1957.
% 195.98/31.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 195.98/31.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4893) all_56_11 = e2 & op(e1, e0) = e2
% 195.98/31.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4893) implies:
% 195.98/31.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4894) all_56_11 = e2
% 195.98/31.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (4735), (4884), (4888), (4894) are
% 195.98/31.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1670.
% 195.98/31.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 195.98/31.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 195.98/31.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 195.98/31.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 195.98/31.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 195.98/31.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 195.98/31.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4895) all_56_13 = e0 & op(e0, e2) = e0
% 195.98/31.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4895) implies:
% 195.98/31.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4896) op(e0, e2) = e0
% 195.98/31.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (4730), (4896), (function-axioms) are
% 195.98/31.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1623.
% 195.98/31.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 195.98/31.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 195.98/31.07 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.07 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 195.98/31.07 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.07 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 195.98/31.07 | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.07 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 195.98/31.07 | | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.07 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 195.98/31.07 | | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.07 | | | | | | | | | | | | | | | | | | | | | | | | (4897) all_56_7 = e3 & op(e1, e2) = e3
% 195.98/31.07 | | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.07 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (162), (3897), (4897), (function-axioms) are
% 195.98/31.07 | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1827.
% 195.98/31.07 | | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.07 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 195.98/31.07 | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.07 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 195.98/31.07 | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.07 | | | | | | | | | | | | | | | | | | | | | | | (4898) (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_11 =
% 195.98/31.07 | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e1, e0) = e3)
% 195.98/31.07 | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.07 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (160), (4709), (4760), (4898),
% 195.98/31.07 | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 195.98/31.07 | | | | | | | | | | | | | | | | | | | | | | | #1081.
% 195.98/31.07 | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.07 | | | | | | | | | | | | | | | | | | | | | | End of split
% 195.98/31.07 | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.07 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 195.98/31.07 | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.07 | | | | | | | | | | | | | | | | | | | | | | (4899) ~ (all_54_3 = e3)
% 195.98/31.07 | | | | | | | | | | | | | | | | | | | | | | (4900) all_54_3 = e2 | all_54_3 = e1 | all_54_3 = e0
% 195.98/31.07 | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.07 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (270), (4899) imply:
% 195.98/31.07 | | | | | | | | | | | | | | | | | | | | | | (4901) ~ (all_52_12 = e3)
% 195.98/31.07 | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.07 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4900) gives:
% 195.98/31.07 | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.07 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 195.98/31.07 | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.07 | | | | | | | | | | | | | | | | | | | | | | | (4902) all_54_3 = e2
% 195.98/31.07 | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.07 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (270), (4675), (4902) are inconsistent by
% 195.98/31.07 | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1080.
% 195.98/31.07 | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.07 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 195.98/31.07 | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.07 | | | | | | | | | | | | | | | | | | | | | | | (4903) ~ (all_54_3 = e2)
% 195.98/31.07 | | | | | | | | | | | | | | | | | | | | | | | (4904) all_54_3 = e1 | all_54_3 = e0
% 195.98/31.07 | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.07 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4904) gives:
% 195.98/31.07 | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.07 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 195.98/31.07 | | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.07 | | | | | | | | | | | | | | | | | | | | | | | | (4905) all_54_3 = e1
% 195.98/31.07 | | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.07 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (270), (4359), (4905) are inconsistent by
% 195.98/31.07 | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1079.
% 195.98/31.07 | | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.07 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 195.98/31.07 | | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.07 | | | | | | | | | | | | | | | | | | | | | | | | (4906) all_54_3 = e0
% 195.98/31.07 | | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.07 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (270), (4906) imply:
% 195.98/31.07 | | | | | | | | | | | | | | | | | | | | | | | | (4907) all_52_12 = e0
% 195.98/31.07 | | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.07 | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4907) implies:
% 195.98/31.07 | | | | | | | | | | | | | | | | | | | | | | | | (4908) all_52_12 = e0
% 195.98/31.07 | | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.07 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3917), (4908) imply:
% 195.98/31.07 | | | | | | | | | | | | | | | | | | | | | | | | (4909) ~ (all_16_1 = e0)
% 195.98/31.07 | | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.07 | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4909) implies:
% 195.98/31.07 | | | | | | | | | | | | | | | | | | | | | | | | (4910) ~ (all_16_1 = e0)
% 195.98/31.07 | | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.07 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4901), (4908) imply:
% 195.98/31.07 | | | | | | | | | | | | | | | | | | | | | | | | (4911) ~ (e3 = e0)
% 195.98/31.07 | | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.07 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4359), (4908) imply:
% 195.98/31.07 | | | | | | | | | | | | | | | | | | | | | | | | (4912) ~ (e1 = e0)
% 195.98/31.07 | | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.07 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (168), (4908) imply:
% 195.98/31.07 | | | | | | | | | | | | | | | | | | | | | | | | (4913) op(e3, e0) = e0
% 195.98/31.07 | | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.07 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (203) gives:
% 195.98/31.07 | | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.07 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 195.98/31.07 | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.07 | | | | | | | | | | | | | | | | | | | | | | | | | (4914) all_54_1 = e3
% 195.98/31.07 | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.08 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (3909), (3919), (4914) are inconsistent by
% 195.98/31.08 | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1078.
% 195.98/31.08 | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.08 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 195.98/31.08 | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.08 | | | | | | | | | | | | | | | | | | | | | | | | | (4915) ~ (all_54_1 = e3)
% 195.98/31.08 | | | | | | | | | | | | | | | | | | | | | | | | | (4916) all_54_1 = e2 | all_54_1 = e1 | all_54_1 = e0
% 195.98/31.08 | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.08 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4916) gives:
% 195.98/31.08 | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.08 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 195.98/31.08 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.08 | | | | | | | | | | | | | | | | | | | | | | | | | | (4917) all_54_1 = e2
% 195.98/31.08 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.08 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3909), (4917) imply:
% 195.98/31.08 | | | | | | | | | | | | | | | | | | | | | | | | | | (4918) all_16_1 = e2
% 195.98/31.08 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.08 | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4918) implies:
% 195.98/31.08 | | | | | | | | | | | | | | | | | | | | | | | | | | (4919) all_16_1 = e2
% 195.98/31.08 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.08 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3915), (4919) imply:
% 195.98/31.08 | | | | | | | | | | | | | | | | | | | | | | | | | | (4920) ~ (all_52_8 = e2)
% 195.98/31.08 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.08 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (227) gives:
% 195.98/31.08 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.08 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 195.98/31.08 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | (4921) (all_56_1 = e2 & op(e3, e2) = e2) | (all_56_3 = e2
% 195.98/31.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e2)
% 195.98/31.08 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4921) gives:
% 195.98/31.08 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 195.98/31.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4922) all_56_1 = e2 & op(e3, e2) = e2
% 195.98/31.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4922) implies:
% 195.98/31.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4923) all_56_1 = e2
% 195.98/31.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4924) op(e3, e2) = e2
% 195.98/31.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (235) gives:
% 195.98/31.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 195.98/31.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4925) (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_2 = e3
% 195.98/31.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e3)
% 195.98/31.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (167), (3895), (4362), (4925),
% 195.98/31.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 195.98/31.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1248.
% 195.98/31.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 195.98/31.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4926) (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_12 =
% 195.98/31.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e3) = e3)
% 195.98/31.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4926) gives:
% 195.98/31.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 195.98/31.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4927) all_56_6 = e3 & op(e1, e3) = e3
% 195.98/31.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4927) implies:
% 195.98/31.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4928) all_56_6 = e3
% 195.98/31.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (215) gives:
% 195.98/31.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 195.98/31.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4929) (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_7 = e2
% 195.98/31.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e2)
% 195.98/31.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4929) gives:
% 195.98/31.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 195.98/31.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4930) all_56_6 = e2 & op(e1, e3) = e2
% 195.98/31.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (4928), (4930) are inconsistent by sub-proof
% 195.98/31.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1745.
% 195.98/31.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 195.98/31.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4931) all_56_7 = e2 & op(e1, e2) = e2
% 195.98/31.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (51), (168), (169),
% 195.98/31.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (225), (226), (234), (377), (3900), (4675),
% 195.98/31.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4920), (4931), (function-axioms) are inconsistent
% 195.98/31.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1069.
% 195.98/31.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 195.98/31.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 195.98/31.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4932) (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_11 =
% 195.98/31.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e1, e0) = e2)
% 195.98/31.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4932) gives:
% 195.98/31.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 195.98/31.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4933) all_56_8 = e2 & op(e1, e1) = e2
% 195.98/31.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4933) implies:
% 195.98/31.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4934) all_56_8 = e2
% 195.98/31.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (51), (160), (163),
% 195.98/31.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (169), (214), (225), (228), (230), (234), (236),
% 195.98/31.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (377), (4357), (4362), (4366), (4706), (4729),
% 195.98/31.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4920), (4923), (4924), (4934), (function-axioms)
% 195.98/31.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1061.
% 195.98/31.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 195.98/31.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4935) all_56_11 = e2 & op(e1, e0) = e2
% 195.98/31.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (160), (4677), (4935), (function-axioms) are
% 195.98/31.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1758.
% 195.98/31.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 195.98/31.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 195.98/31.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 195.98/31.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4936) all_56_12 = e3 & op(e0, e3) = e3
% 195.98/31.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4936) implies:
% 195.98/31.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4937) op(e0, e3) = e3
% 195.98/31.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (239) gives:
% 195.98/31.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 195.98/31.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4938) (all_57_1 = e2 & ~ (all_57_3 = e3) & ~ (all_57_8
% 195.98/31.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_10 = e2) & ~ (all_57_12 =
% 195.98/31.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_14 = e0) & op(e3, e3) = e2 &
% 195.98/31.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_3 & op(e2, all_57_9) =
% 195.98/31.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_8 & op(e2, all_57_11) = all_57_10 &
% 195.98/31.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_13) = all_57_12 & op(e2,
% 195.98/31.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15) = all_57_14 & op(e2, e3) = all_57_9
% 195.98/31.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = all_57_11 & op(e2, e1) =
% 195.98/31.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_13 & op(e2, e0) = all_57_15 &
% 195.98/31.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_3) & $i(all_57_8) & $i(all_57_9) &
% 195.98/31.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & $i(all_57_11) & $i(all_57_12) &
% 195.98/31.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13) & $i(all_57_14) & $i(all_57_15)) |
% 195.98/31.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e1 & ~ (all_57_5 = e3) & ~
% 195.98/31.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_16 = e3) & ~ (all_57_18 = e2) & ~
% 195.98/31.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_22 = e0) & op(e3,
% 195.98/31.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e1 & op(e3, e1) = all_57_5 & op(e1,
% 195.98/31.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17) = all_57_16 & op(e1, all_57_19) =
% 195.98/31.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_18 & op(e1, all_57_21) = all_57_20 &
% 195.98/31.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_23) = all_57_22 & op(e1, e3) =
% 195.98/31.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e1, e2) = all_57_19 & op(e1, e1)
% 195.98/31.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_21 & op(e1, e0) = all_57_23 &
% 195.98/31.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_16) & $i(all_57_17) &
% 195.98/31.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_19) & $i(all_57_20) &
% 195.98/31.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_22) & $i(all_57_23)) |
% 195.98/31.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e0 & ~ (all_57_7 = e3) & ~
% 195.98/31.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 195.98/31.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) & op(e3,
% 195.98/31.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e0 & op(e3, e0) = all_57_7 & op(e0,
% 195.98/31.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25) = all_57_24 & op(e0, all_57_27) =
% 195.98/31.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e0, all_57_29) = all_57_28 &
% 195.98/31.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_31) = all_57_30 & op(e0, e3) =
% 195.98/31.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_27 & op(e0, e1)
% 195.98/31.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_29 & op(e0, e0) = all_57_31 &
% 195.98/31.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7) & $i(all_57_24) & $i(all_57_25) &
% 195.98/31.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_27) & $i(all_57_28) &
% 195.98/31.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29) & $i(all_57_30) & $i(all_57_31)) |
% 195.98/31.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e3 & ~ (all_57_0 = e3) & ~
% 195.98/31.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e2) & ~ (all_57_4 = e1) & ~
% 195.98/31.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_6 = e0) & ~ (all_57_9 = e2) & op(e3,
% 195.98/31.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1) = all_57_0 & op(e3, all_57_3) =
% 195.98/31.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_2 & op(e3, all_57_5) = all_57_4 & op(e3,
% 195.98/31.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7) = all_57_6 & op(e3, e3) = all_57_1 &
% 195.98/31.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_3 & op(e3, e1) = all_57_5 &
% 195.98/31.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_7 & op(e2, e3) = all_57_9 &
% 195.98/31.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e3 & $i(all_57_0) & $i(all_57_1) &
% 195.98/31.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_2) & $i(all_57_3) & $i(all_57_4) &
% 195.98/31.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 195.98/31.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9))
% 195.98/31.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4938) gives:
% 195.98/31.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 195.98/31.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4939) (all_57_1 = e2 & ~ (all_57_3 = e3) & ~ (all_57_8
% 195.98/31.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_10 = e2) & ~ (all_57_12 =
% 195.98/31.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_14 = e0) & op(e3, e3) = e2 &
% 195.98/31.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_3 & op(e2, all_57_9) =
% 195.98/31.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_8 & op(e2, all_57_11) = all_57_10 &
% 195.98/31.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_13) = all_57_12 & op(e2,
% 195.98/31.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15) = all_57_14 & op(e2, e3) = all_57_9
% 195.98/31.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = all_57_11 & op(e2, e1) =
% 195.98/31.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_13 & op(e2, e0) = all_57_15 &
% 195.98/31.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_3) & $i(all_57_8) & $i(all_57_9) &
% 195.98/31.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & $i(all_57_11) & $i(all_57_12) &
% 195.98/31.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13) & $i(all_57_14) & $i(all_57_15)) |
% 195.98/31.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e1 & ~ (all_57_5 = e3) & ~
% 195.98/31.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_16 = e3) & ~ (all_57_18 = e2) & ~
% 195.98/31.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_22 = e0) & op(e3,
% 195.98/31.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e1 & op(e3, e1) = all_57_5 & op(e1,
% 195.98/31.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17) = all_57_16 & op(e1, all_57_19) =
% 195.98/31.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_18 & op(e1, all_57_21) = all_57_20 &
% 195.98/31.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_23) = all_57_22 & op(e1, e3) =
% 195.98/31.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e1, e2) = all_57_19 & op(e1, e1)
% 195.98/31.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_21 & op(e1, e0) = all_57_23 &
% 195.98/31.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_16) & $i(all_57_17) &
% 195.98/31.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_19) & $i(all_57_20) &
% 195.98/31.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_22) & $i(all_57_23))
% 195.98/31.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (36), (335), (372), (4362), (4702), (4939),
% 195.98/31.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 195.98/31.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1088.
% 195.98/31.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 195.98/31.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4940) (all_57_1 = e0 & ~ (all_57_7 = e3) & ~
% 195.98/31.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 195.98/31.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) & op(e3,
% 195.98/31.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e0 & op(e3, e0) = all_57_7 & op(e0,
% 195.98/31.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25) = all_57_24 & op(e0, all_57_27) =
% 195.98/31.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e0, all_57_29) = all_57_28 &
% 195.98/31.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_31) = all_57_30 & op(e0, e3) =
% 195.98/31.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_27 & op(e0, e1)
% 195.98/31.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_29 & op(e0, e0) = all_57_31 &
% 195.98/31.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7) & $i(all_57_24) & $i(all_57_25) &
% 195.98/31.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_27) & $i(all_57_28) &
% 195.98/31.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29) & $i(all_57_30) & $i(all_57_31)) |
% 195.98/31.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e3 & ~ (all_57_0 = e3) & ~
% 195.98/31.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e2) & ~ (all_57_4 = e1) & ~
% 195.98/31.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_6 = e0) & ~ (all_57_9 = e2) & op(e3,
% 195.98/31.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1) = all_57_0 & op(e3, all_57_3) =
% 195.98/31.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_2 & op(e3, all_57_5) = all_57_4 & op(e3,
% 195.98/31.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7) = all_57_6 & op(e3, e3) = all_57_1 &
% 195.98/31.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_3 & op(e3, e1) = all_57_5 &
% 195.98/31.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_7 & op(e2, e3) = all_57_9 &
% 195.98/31.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e3 & $i(all_57_0) & $i(all_57_1) &
% 195.98/31.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_2) & $i(all_57_3) & $i(all_57_4) &
% 195.98/31.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 195.98/31.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9))
% 195.98/31.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (4362), (4913), (4940), (function-axioms) are
% 195.98/31.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1532.
% 195.98/31.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 195.98/31.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 195.98/31.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4941) (all_57_11 = e1 & ~ (all_57_13 = e2) & ~
% 195.98/31.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_16 = e3) & ~ (all_57_18 = e2) & ~
% 195.98/31.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_22 = e0) & op(e2,
% 195.98/31.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e1 & op(e2, e1) = all_57_13 & op(e1,
% 195.98/31.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17) = all_57_16 & op(e1, all_57_19) =
% 195.98/31.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_18 & op(e1, all_57_21) = all_57_20 &
% 195.98/31.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_23) = all_57_22 & op(e1, e3) =
% 195.98/31.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e1, e2) = all_57_19 & op(e1, e1)
% 195.98/31.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_21 & op(e1, e0) = all_57_23 &
% 195.98/31.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13) & $i(all_57_16) & $i(all_57_17) &
% 195.98/31.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_19) & $i(all_57_20) &
% 195.98/31.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_22) & $i(all_57_23)) |
% 195.98/31.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e0 & ~ (all_57_15 = e2) & ~
% 195.98/31.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 195.98/31.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) & op(e2,
% 195.98/31.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e0 & op(e2, e0) = all_57_15 & op(e0,
% 195.98/31.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25) = all_57_24 & op(e0, all_57_27) =
% 195.98/31.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e0, all_57_29) = all_57_28 &
% 195.98/31.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_31) = all_57_30 & op(e0, e3) =
% 195.98/31.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_27 & op(e0, e1)
% 195.98/31.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_29 & op(e0, e0) = all_57_31 &
% 195.98/31.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & $i(all_57_24) & $i(all_57_25) &
% 195.98/31.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_27) & $i(all_57_28) &
% 195.98/31.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29) & $i(all_57_30) & $i(all_57_31)) |
% 195.98/31.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e3 & ~ (all_57_0 = e3) & ~
% 195.98/31.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e2) & ~ (all_57_4 = e1) & ~
% 195.98/31.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_6 = e0) & ~ (all_57_17 = e1) & op(e3,
% 195.98/31.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1) = all_57_0 & op(e3, all_57_3) =
% 195.98/31.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_2 & op(e3, all_57_5) = all_57_4 & op(e3,
% 195.98/31.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7) = all_57_6 & op(e3, e3) = all_57_1 &
% 195.98/31.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_3 & op(e3, e1) = all_57_5 &
% 195.98/31.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_7 & op(e1, e3) = all_57_17 &
% 195.98/31.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e3 & $i(all_57_0) & $i(all_57_1) &
% 195.98/31.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_2) & $i(all_57_3) & $i(all_57_4) &
% 195.98/31.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 195.98/31.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_17)) | (all_57_21 = e2 & ~ (all_57_8
% 195.98/31.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_10 = e2) & ~ (all_57_12 =
% 195.98/31.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_14 = e0) & ~ (all_57_19 =
% 195.98/31.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & op(e2, all_57_9) = all_57_8 & op(e2,
% 195.98/31.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_11) = all_57_10 & op(e2, all_57_13) =
% 195.98/31.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & op(e2, all_57_15) = all_57_14 &
% 195.98/31.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_9 & op(e2, e2) = all_57_11 &
% 195.98/31.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_57_13 & op(e2, e0) = all_57_15
% 195.98/31.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = all_57_19 & op(e1, e1) = e2 &
% 195.98/31.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8) & $i(all_57_9) & $i(all_57_10) &
% 195.98/31.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_12) & $i(all_57_13) &
% 195.98/31.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & $i(all_57_15) & $i(all_57_19)) |
% 195.98/31.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (op(e0, e0) = all_57_31 & $i(all_57_31) &
% 195.98/31.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_21 = e0 & ~ (all_57_23 = e1) & ~
% 195.98/31.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 195.98/31.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) &
% 195.98/31.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = all_57_23 &
% 195.98/31.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_25) = all_57_24 & op(e0,
% 195.98/31.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27) = all_57_26 & op(e0, all_57_29)
% 195.98/31.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_28 & op(e0, all_57_31) = all_57_30
% 195.98/31.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e3) = all_57_25 & op(e0, e2) =
% 195.98/31.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27 & op(e0, e1) = all_57_29 &
% 195.98/31.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23) & $i(all_57_24) &
% 195.98/31.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_25) & $i(all_57_26) &
% 195.98/31.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27) & $i(all_57_28) &
% 195.98/31.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29) & $i(all_57_30)) | (all_57_31
% 195.98/31.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & ~ (all_57_0 = e3) & ~ (all_57_2 =
% 195.98/31.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_4 = e1) & ~ (all_57_6 =
% 195.98/31.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_25 = e0) & op(e3,
% 195.98/31.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1) = all_57_0 & op(e3, all_57_3) =
% 195.98/31.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_2 & op(e3, all_57_5) = all_57_4 &
% 195.98/31.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, all_57_7) = all_57_6 & op(e3, e3) =
% 195.98/31.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e2) = all_57_3 & op(e3,
% 195.98/31.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_5 & op(e3, e0) = all_57_7 &
% 195.98/31.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_25 & $i(all_57_0) &
% 195.98/31.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_2) & $i(all_57_3) &
% 195.98/31.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4) & $i(all_57_5) & $i(all_57_6) &
% 195.98/31.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7) & $i(all_57_25)) | (all_57_31 =
% 195.98/31.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_8 = e3) & ~ (all_57_10 =
% 195.98/31.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_12 = e1) & ~ (all_57_14
% 195.98/31.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_27 = e0) & op(e2,
% 195.98/31.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_9) = all_57_8 & op(e2, all_57_11) =
% 195.98/31.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e2, all_57_13) = all_57_12 &
% 195.98/31.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_15) = all_57_14 & op(e2, e3) =
% 195.98/31.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_9 & op(e2, e2) = all_57_11 & op(e2,
% 195.98/31.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_13 & op(e2, e0) = all_57_15 &
% 195.98/31.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_27 & $i(all_57_8) &
% 195.98/31.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9) & $i(all_57_10) & $i(all_57_11)
% 195.98/31.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_12) & $i(all_57_13) &
% 195.98/31.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & $i(all_57_15) &
% 195.98/31.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27)) | (all_57_31 = e1 & ~
% 195.98/31.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_16 = e3) & ~ (all_57_18 = e2) & ~
% 195.98/31.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_22 = e0) & ~
% 195.98/31.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_29 = e0) & op(e1, all_57_17) =
% 195.98/31.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_16 & op(e1, all_57_19) = all_57_18 &
% 195.98/31.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_21) = all_57_20 & op(e1,
% 195.98/31.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23) = all_57_22 & op(e1, e3) =
% 195.98/31.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e1, e2) = all_57_19 & op(e1,
% 195.98/31.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_21 & op(e1, e0) = all_57_23 &
% 195.98/31.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = all_57_29 & $i(all_57_16) &
% 195.98/31.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_17) & $i(all_57_18) &
% 195.98/31.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_20) &
% 195.98/31.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_22) &
% 195.98/31.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23) & $i(all_57_29))))
% 195.98/31.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4941) gives:
% 195.98/31.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 195.98/31.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4942) (all_57_11 = e1 & ~ (all_57_13 = e2) & ~
% 195.98/31.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_16 = e3) & ~ (all_57_18 = e2) & ~
% 195.98/31.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_22 = e0) & op(e2,
% 195.98/31.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e1 & op(e2, e1) = all_57_13 & op(e1,
% 195.98/31.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17) = all_57_16 & op(e1, all_57_19) =
% 195.98/31.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_18 & op(e1, all_57_21) = all_57_20 &
% 195.98/31.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_23) = all_57_22 & op(e1, e3) =
% 195.98/31.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e1, e2) = all_57_19 & op(e1, e1)
% 195.98/31.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_21 & op(e1, e0) = all_57_23 &
% 195.98/31.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13) & $i(all_57_16) & $i(all_57_17) &
% 195.98/31.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_19) & $i(all_57_20) &
% 195.98/31.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_22) & $i(all_57_23)) |
% 195.98/31.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e0 & ~ (all_57_15 = e2) & ~
% 195.98/31.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 195.98/31.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) & op(e2,
% 195.98/31.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e0 & op(e2, e0) = all_57_15 & op(e0,
% 195.98/31.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25) = all_57_24 & op(e0, all_57_27) =
% 195.98/31.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e0, all_57_29) = all_57_28 &
% 195.98/31.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_31) = all_57_30 & op(e0, e3) =
% 195.98/31.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_27 & op(e0, e1)
% 195.98/31.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_29 & op(e0, e0) = all_57_31 &
% 195.98/31.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & $i(all_57_24) & $i(all_57_25) &
% 195.98/31.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_27) & $i(all_57_28) &
% 195.98/31.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29) & $i(all_57_30) & $i(all_57_31))
% 195.98/31.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (3900), (4937), (4942), (function-axioms) are
% 195.98/31.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1143.
% 195.98/31.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 195.98/31.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4943) (all_57_21 = e3 & ~ (all_57_0 = e3) & ~
% 195.98/31.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e2) & ~ (all_57_4 = e1) & ~
% 195.98/31.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_6 = e0) & ~ (all_57_17 = e1) & op(e3,
% 195.98/31.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1) = all_57_0 & op(e3, all_57_3) =
% 195.98/31.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_2 & op(e3, all_57_5) = all_57_4 & op(e3,
% 195.98/31.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7) = all_57_6 & op(e3, e3) = all_57_1 &
% 195.98/31.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_3 & op(e3, e1) = all_57_5 &
% 195.98/31.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_7 & op(e1, e3) = all_57_17 &
% 195.98/31.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e3 & $i(all_57_0) & $i(all_57_1) &
% 195.98/31.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_2) & $i(all_57_3) & $i(all_57_4) &
% 195.98/31.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 195.98/31.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_17)) | (all_57_21 = e2 & ~ (all_57_8
% 195.98/31.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_10 = e2) & ~ (all_57_12 =
% 195.98/31.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_14 = e0) & ~ (all_57_19 =
% 195.98/31.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & op(e2, all_57_9) = all_57_8 & op(e2,
% 195.98/31.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_11) = all_57_10 & op(e2, all_57_13) =
% 195.98/31.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & op(e2, all_57_15) = all_57_14 &
% 195.98/31.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_9 & op(e2, e2) = all_57_11 &
% 195.98/31.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_57_13 & op(e2, e0) = all_57_15
% 195.98/31.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = all_57_19 & op(e1, e1) = e2 &
% 195.98/31.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8) & $i(all_57_9) & $i(all_57_10) &
% 195.98/31.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_12) & $i(all_57_13) &
% 195.98/31.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & $i(all_57_15) & $i(all_57_19)) |
% 195.98/31.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (op(e0, e0) = all_57_31 & $i(all_57_31) &
% 195.98/31.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_21 = e0 & ~ (all_57_23 = e1) & ~
% 195.98/31.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 195.98/31.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) &
% 195.98/31.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = all_57_23 &
% 195.98/31.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_25) = all_57_24 & op(e0,
% 195.98/31.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27) = all_57_26 & op(e0, all_57_29)
% 195.98/31.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_28 & op(e0, all_57_31) = all_57_30
% 195.98/31.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e3) = all_57_25 & op(e0, e2) =
% 195.98/31.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27 & op(e0, e1) = all_57_29 &
% 195.98/31.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23) & $i(all_57_24) &
% 195.98/31.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_25) & $i(all_57_26) &
% 195.98/31.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27) & $i(all_57_28) &
% 195.98/31.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29) & $i(all_57_30)) | (all_57_31
% 195.98/31.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & ~ (all_57_0 = e3) & ~ (all_57_2 =
% 195.98/31.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_4 = e1) & ~ (all_57_6 =
% 195.98/31.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_25 = e0) & op(e3,
% 195.98/31.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1) = all_57_0 & op(e3, all_57_3) =
% 195.98/31.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_2 & op(e3, all_57_5) = all_57_4 &
% 195.98/31.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, all_57_7) = all_57_6 & op(e3, e3) =
% 195.98/31.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e2) = all_57_3 & op(e3,
% 195.98/31.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_5 & op(e3, e0) = all_57_7 &
% 195.98/31.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_25 & $i(all_57_0) &
% 195.98/31.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_2) & $i(all_57_3) &
% 195.98/31.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4) & $i(all_57_5) & $i(all_57_6) &
% 195.98/31.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7) & $i(all_57_25)) | (all_57_31 =
% 195.98/31.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_8 = e3) & ~ (all_57_10 =
% 195.98/31.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_12 = e1) & ~ (all_57_14
% 195.98/31.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_27 = e0) & op(e2,
% 195.98/31.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_9) = all_57_8 & op(e2, all_57_11) =
% 195.98/31.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e2, all_57_13) = all_57_12 &
% 195.98/31.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_15) = all_57_14 & op(e2, e3) =
% 195.98/31.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_9 & op(e2, e2) = all_57_11 & op(e2,
% 195.98/31.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_13 & op(e2, e0) = all_57_15 &
% 195.98/31.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_27 & $i(all_57_8) &
% 195.98/31.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9) & $i(all_57_10) & $i(all_57_11)
% 195.98/31.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_12) & $i(all_57_13) &
% 195.98/31.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & $i(all_57_15) &
% 195.98/31.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27)) | (all_57_31 = e1 & ~
% 195.98/31.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_16 = e3) & ~ (all_57_18 = e2) & ~
% 195.98/31.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_22 = e0) & ~
% 195.98/31.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_29 = e0) & op(e1, all_57_17) =
% 195.98/31.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_16 & op(e1, all_57_19) = all_57_18 &
% 195.98/31.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_21) = all_57_20 & op(e1,
% 195.98/31.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23) = all_57_22 & op(e1, e3) =
% 195.98/31.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e1, e2) = all_57_19 & op(e1,
% 195.98/31.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_21 & op(e1, e0) = all_57_23 &
% 195.98/31.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = all_57_29 & $i(all_57_16) &
% 195.98/31.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_17) & $i(all_57_18) &
% 195.98/31.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_20) &
% 195.98/31.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_22) &
% 195.98/31.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23) & $i(all_57_29))))
% 195.98/31.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4943) gives:
% 195.98/31.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 195.98/31.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4944) all_57_21 = e3 & ~ (all_57_0 = e3) & ~ (all_57_2
% 195.98/31.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2) & ~ (all_57_4 = e1) & ~ (all_57_6 = e0)
% 195.98/31.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_17 = e1) & op(e3, all_57_1) =
% 195.98/31.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_0 & op(e3, all_57_3) = all_57_2 & op(e3,
% 195.98/31.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_5) = all_57_4 & op(e3, all_57_7) =
% 195.98/31.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_6 & op(e3, e3) = all_57_1 & op(e3, e2) =
% 195.98/31.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 & op(e3, e1) = all_57_5 & op(e3, e0) =
% 195.98/31.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7 & op(e1, e3) = all_57_17 & op(e1, e1) =
% 195.98/31.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & $i(all_57_0) & $i(all_57_1) & $i(all_57_2) &
% 195.98/31.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_3) & $i(all_57_4) & $i(all_57_5) &
% 195.98/31.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_6) & $i(all_57_7) & $i(all_57_17)
% 195.98/31.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 195.98/31.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4944) implies:
% 196.24/31.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4945) ~ (all_57_6 = e0)
% 196.24/31.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4946) op(e3, e0) = all_57_7
% 196.24/31.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4947) op(e3, all_57_7) = all_57_6
% 196.24/31.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.24/31.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4913), (4945), (4946), (4947), (function-axioms)
% 196.24/31.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1632.
% 196.24/31.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.24/31.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 196.24/31.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.24/31.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4948) (all_57_21 = e2 & ~ (all_57_8 = e3) & ~
% 196.24/31.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e2) & ~ (all_57_12 = e1) & ~
% 196.24/31.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e0) & ~ (all_57_19 = e1) & op(e2,
% 196.24/31.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_9) = all_57_8 & op(e2, all_57_11) =
% 196.24/31.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e2, all_57_13) = all_57_12 &
% 196.24/31.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_15) = all_57_14 & op(e2, e3) =
% 196.24/31.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_9 & op(e2, e2) = all_57_11 & op(e2, e1) =
% 196.24/31.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_13 & op(e2, e0) = all_57_15 & op(e1, e2)
% 196.24/31.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_19 & op(e1, e1) = e2 & $i(all_57_8) &
% 196.24/31.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9) & $i(all_57_10) & $i(all_57_11) &
% 196.24/31.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & $i(all_57_13) & $i(all_57_14) &
% 196.24/31.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & $i(all_57_19)) | (op(e0, e0) =
% 196.24/31.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_31 & $i(all_57_31) & ((all_57_21 = e0 &
% 196.24/31.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_23 = e1) & ~ (all_57_24 = e3) &
% 196.24/31.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_26 = e2) & ~ (all_57_28 = e1) &
% 196.24/31.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_30 = e0) & op(e1, e1) = e0 &
% 196.24/31.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_23 & op(e0, all_57_25) =
% 196.24/31.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_24 & op(e0, all_57_27) = all_57_26 &
% 196.24/31.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_29) = all_57_28 & op(e0,
% 196.24/31.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_31) = all_57_30 & op(e0, e3) =
% 196.24/31.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_27 & op(e0,
% 196.24/31.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_29 & $i(all_57_23) &
% 196.24/31.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_24) & $i(all_57_25) &
% 196.24/31.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_27) &
% 196.24/31.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28) & $i(all_57_29) &
% 196.24/31.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_31 = e3 & ~
% 196.24/31.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_0 = e3) & ~ (all_57_2 = e2) & ~
% 196.24/31.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1) & ~ (all_57_6 = e0) & ~
% 196.24/31.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_25 = e0) & op(e3, all_57_1) =
% 196.24/31.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_0 & op(e3, all_57_3) = all_57_2 &
% 196.24/31.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, all_57_5) = all_57_4 & op(e3,
% 196.24/31.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7) = all_57_6 & op(e3, e3) =
% 196.24/31.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e2) = all_57_3 & op(e3,
% 196.24/31.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_5 & op(e3, e0) = all_57_7 &
% 196.24/31.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_25 & $i(all_57_0) &
% 196.24/31.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_2) & $i(all_57_3) &
% 196.24/31.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4) & $i(all_57_5) & $i(all_57_6) &
% 196.24/31.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7) & $i(all_57_25)) | (all_57_31 =
% 196.24/31.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_8 = e3) & ~ (all_57_10 =
% 196.24/31.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_12 = e1) & ~ (all_57_14
% 196.24/31.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_27 = e0) & op(e2,
% 196.24/31.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_9) = all_57_8 & op(e2, all_57_11) =
% 196.24/31.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e2, all_57_13) = all_57_12 &
% 196.24/31.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_15) = all_57_14 & op(e2, e3) =
% 196.24/31.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_9 & op(e2, e2) = all_57_11 & op(e2,
% 196.24/31.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_13 & op(e2, e0) = all_57_15 &
% 196.24/31.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_27 & $i(all_57_8) &
% 196.24/31.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9) & $i(all_57_10) & $i(all_57_11)
% 196.24/31.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_12) & $i(all_57_13) &
% 196.24/31.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & $i(all_57_15) &
% 196.24/31.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27)) | (all_57_31 = e1 & ~
% 196.24/31.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_16 = e3) & ~ (all_57_18 = e2) & ~
% 196.24/31.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_22 = e0) & ~
% 196.24/31.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_29 = e0) & op(e1, all_57_17) =
% 196.24/31.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_16 & op(e1, all_57_19) = all_57_18 &
% 196.24/31.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_21) = all_57_20 & op(e1,
% 196.24/31.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23) = all_57_22 & op(e1, e3) =
% 196.24/31.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e1, e2) = all_57_19 & op(e1,
% 196.24/31.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_21 & op(e1, e0) = all_57_23 &
% 196.24/31.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = all_57_29 & $i(all_57_16) &
% 196.24/31.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_17) & $i(all_57_18) &
% 196.24/31.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_20) &
% 196.24/31.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_22) &
% 196.24/31.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23) & $i(all_57_29))))
% 196.24/31.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.24/31.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4948) gives:
% 196.24/31.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.24/31.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 196.24/31.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.24/31.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4949) all_57_21 = e2 & ~ (all_57_8 = e3) & ~
% 196.24/31.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e2) & ~ (all_57_12 = e1) & ~
% 196.24/31.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e0) & ~ (all_57_19 = e1) & op(e2,
% 196.24/31.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_9) = all_57_8 & op(e2, all_57_11) =
% 196.24/31.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e2, all_57_13) = all_57_12 & op(e2,
% 196.24/31.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15) = all_57_14 & op(e2, e3) = all_57_9 &
% 196.24/31.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_11 & op(e2, e1) = all_57_13 &
% 196.24/31.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_15 & op(e1, e2) = all_57_19 &
% 196.24/31.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e2 & $i(all_57_8) & $i(all_57_9) &
% 196.24/31.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & $i(all_57_11) & $i(all_57_12) &
% 196.24/31.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13) & $i(all_57_14) & $i(all_57_15) &
% 196.24/31.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19)
% 196.24/31.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.24/31.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4949) implies:
% 196.24/31.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4950) op(e1, e1) = e2
% 196.24/31.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.24/31.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (4709), (4950), (function-axioms) are
% 196.24/31.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1957.
% 196.24/31.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.24/31.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 196.24/31.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.24/31.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4951) op(e0, e0) = all_57_31 & $i(all_57_31) &
% 196.24/31.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_21 = e0 & ~ (all_57_23 = e1) & ~
% 196.24/31.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 196.24/31.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) &
% 196.24/31.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = all_57_23 &
% 196.24/31.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_25) = all_57_24 & op(e0,
% 196.24/31.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27) = all_57_26 & op(e0, all_57_29) =
% 196.24/31.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_28 & op(e0, all_57_31) = all_57_30 &
% 196.24/31.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_25 & op(e0, e2) =
% 196.24/31.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27 & op(e0, e1) = all_57_29 &
% 196.24/31.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23) & $i(all_57_24) & $i(all_57_25)
% 196.24/31.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_26) & $i(all_57_27) &
% 196.24/31.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28) & $i(all_57_29) & $i(all_57_30))
% 196.24/31.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e3 & ~ (all_57_0 = e3) & ~
% 196.24/31.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e2) & ~ (all_57_4 = e1) & ~
% 196.24/31.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_6 = e0) & ~ (all_57_25 = e0) & op(e3,
% 196.24/31.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1) = all_57_0 & op(e3, all_57_3) =
% 196.24/31.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_2 & op(e3, all_57_5) = all_57_4 &
% 196.24/31.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, all_57_7) = all_57_6 & op(e3, e3) =
% 196.24/31.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e2) = all_57_3 & op(e3, e1)
% 196.24/31.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_5 & op(e3, e0) = all_57_7 & op(e0,
% 196.24/31.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_25 & $i(all_57_0) &
% 196.24/31.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_2) & $i(all_57_3) &
% 196.24/31.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4) & $i(all_57_5) & $i(all_57_6) &
% 196.24/31.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7) & $i(all_57_25)) | (all_57_31 =
% 196.24/31.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_8 = e3) & ~ (all_57_10 = e2)
% 196.24/31.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_12 = e1) & ~ (all_57_14 = e0) &
% 196.24/31.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_27 = e0) & op(e2, all_57_9) =
% 196.24/31.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_8 & op(e2, all_57_11) = all_57_10 &
% 196.24/31.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_13) = all_57_12 & op(e2,
% 196.24/31.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15) = all_57_14 & op(e2, e3) =
% 196.24/31.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_9 & op(e2, e2) = all_57_11 & op(e2, e1)
% 196.24/31.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_13 & op(e2, e0) = all_57_15 & op(e0,
% 196.24/31.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_27 & $i(all_57_8) &
% 196.24/31.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9) & $i(all_57_10) & $i(all_57_11) &
% 196.24/31.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & $i(all_57_13) & $i(all_57_14)
% 196.24/31.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_15) & $i(all_57_27)) | (all_57_31
% 196.24/31.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_16 = e3) & ~ (all_57_18 =
% 196.24/31.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_20 = e1) & ~ (all_57_22 =
% 196.24/31.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_29 = e0) & op(e1,
% 196.24/31.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17) = all_57_16 & op(e1, all_57_19) =
% 196.24/31.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_18 & op(e1, all_57_21) = all_57_20 &
% 196.24/31.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_23) = all_57_22 & op(e1, e3) =
% 196.24/31.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e1, e2) = all_57_19 & op(e1,
% 196.24/31.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_21 & op(e1, e0) = all_57_23 &
% 196.24/31.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = all_57_29 & $i(all_57_16) &
% 196.24/31.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_17) & $i(all_57_18) & $i(all_57_19)
% 196.24/31.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_20) & $i(all_57_21) &
% 196.24/31.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_23) &
% 196.24/31.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29)))
% 196.24/31.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.24/31.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4951) implies:
% 196.24/31.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4952) (all_57_21 = e0 & ~ (all_57_23 = e1) & ~
% 196.24/31.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 196.24/31.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) & op(e1,
% 196.24/31.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0 & op(e1, e0) = all_57_23 & op(e0,
% 196.24/31.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25) = all_57_24 & op(e0, all_57_27) =
% 196.24/31.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e0, all_57_29) = all_57_28 &
% 196.24/31.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_31) = all_57_30 & op(e0, e3) =
% 196.24/31.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_27 & op(e0, e1)
% 196.24/31.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_29 & $i(all_57_23) & $i(all_57_24) &
% 196.24/31.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_25) & $i(all_57_26) & $i(all_57_27) &
% 196.24/31.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28) & $i(all_57_29) & $i(all_57_30)) |
% 196.24/31.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e3 & ~ (all_57_0 = e3) & ~
% 196.24/31.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e2) & ~ (all_57_4 = e1) & ~
% 196.24/31.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_6 = e0) & ~ (all_57_25 = e0) & op(e3,
% 196.24/31.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1) = all_57_0 & op(e3, all_57_3) =
% 196.24/31.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_2 & op(e3, all_57_5) = all_57_4 & op(e3,
% 196.24/31.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7) = all_57_6 & op(e3, e3) = all_57_1 &
% 196.24/31.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_3 & op(e3, e1) = all_57_5 &
% 196.24/31.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_7 & op(e0, e3) = all_57_25 &
% 196.24/31.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_0) & $i(all_57_1) & $i(all_57_2) &
% 196.24/31.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_3) & $i(all_57_4) & $i(all_57_5) &
% 196.24/31.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_6) & $i(all_57_7) & $i(all_57_25)) |
% 196.24/31.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e2 & ~ (all_57_8 = e3) & ~
% 196.24/31.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e2) & ~ (all_57_12 = e1) & ~
% 196.24/31.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e0) & ~ (all_57_27 = e0) & op(e2,
% 196.24/31.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_9) = all_57_8 & op(e2, all_57_11) =
% 196.24/31.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e2, all_57_13) = all_57_12 &
% 196.24/31.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_15) = all_57_14 & op(e2, e3) =
% 196.24/31.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_9 & op(e2, e2) = all_57_11 & op(e2, e1) =
% 196.24/31.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_13 & op(e2, e0) = all_57_15 & op(e0, e2)
% 196.24/31.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_27 & $i(all_57_8) & $i(all_57_9) &
% 196.24/31.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & $i(all_57_11) & $i(all_57_12) &
% 196.24/31.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13) & $i(all_57_14) & $i(all_57_15) &
% 196.24/31.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27)) | (all_57_31 = e1 & ~ (all_57_16
% 196.24/31.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_18 = e2) & ~ (all_57_20 =
% 196.24/31.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_22 = e0) & ~ (all_57_29 =
% 196.24/31.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & op(e1, all_57_17) = all_57_16 & op(e1,
% 196.24/31.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_19) = all_57_18 & op(e1, all_57_21) =
% 196.24/31.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20 & op(e1, all_57_23) = all_57_22 &
% 196.24/31.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_17 & op(e1, e2) = all_57_19
% 196.24/31.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = all_57_21 & op(e1, e0) =
% 196.24/31.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23 & op(e0, e1) = all_57_29 &
% 196.24/31.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_16) & $i(all_57_17) & $i(all_57_18) &
% 196.24/31.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_20) & $i(all_57_21) &
% 196.24/31.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_23) & $i(all_57_29))
% 196.24/31.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.24/31.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4952) gives:
% 196.24/31.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.24/31.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 196.24/31.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.24/31.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4953) (all_57_21 = e0 & ~ (all_57_23 = e1) & ~
% 196.24/31.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 196.24/31.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) & op(e1,
% 196.24/31.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0 & op(e1, e0) = all_57_23 & op(e0,
% 196.24/31.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25) = all_57_24 & op(e0, all_57_27) =
% 196.24/31.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e0, all_57_29) = all_57_28 &
% 196.24/31.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_31) = all_57_30 & op(e0, e3) =
% 196.24/31.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_27 & op(e0, e1)
% 196.24/31.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_29 & $i(all_57_23) & $i(all_57_24) &
% 196.24/31.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_25) & $i(all_57_26) & $i(all_57_27) &
% 196.24/31.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28) & $i(all_57_29) & $i(all_57_30)) |
% 196.24/31.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e3 & ~ (all_57_0 = e3) & ~
% 196.24/31.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e2) & ~ (all_57_4 = e1) & ~
% 196.24/31.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_6 = e0) & ~ (all_57_25 = e0) & op(e3,
% 196.24/31.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1) = all_57_0 & op(e3, all_57_3) =
% 196.24/31.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_2 & op(e3, all_57_5) = all_57_4 & op(e3,
% 196.24/31.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7) = all_57_6 & op(e3, e3) = all_57_1 &
% 196.24/31.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_3 & op(e3, e1) = all_57_5 &
% 196.24/31.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_7 & op(e0, e3) = all_57_25 &
% 196.24/31.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_0) & $i(all_57_1) & $i(all_57_2) &
% 196.24/31.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_3) & $i(all_57_4) & $i(all_57_5) &
% 196.24/31.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_6) & $i(all_57_7) & $i(all_57_25))
% 196.24/31.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.24/31.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4913), (4937), (4953), (function-axioms) are
% 196.24/31.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1060.
% 196.24/31.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.24/31.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 196.24/31.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.24/31.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4954) (all_57_31 = e2 & ~ (all_57_8 = e3) & ~
% 196.24/31.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e2) & ~ (all_57_12 = e1) & ~
% 196.24/31.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e0) & ~ (all_57_27 = e0) & op(e2,
% 196.24/31.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_9) = all_57_8 & op(e2, all_57_11) =
% 196.24/31.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e2, all_57_13) = all_57_12 &
% 196.24/31.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_15) = all_57_14 & op(e2, e3) =
% 196.24/31.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_9 & op(e2, e2) = all_57_11 & op(e2, e1) =
% 196.24/31.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_13 & op(e2, e0) = all_57_15 & op(e0, e2)
% 196.24/31.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_27 & $i(all_57_8) & $i(all_57_9) &
% 196.24/31.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & $i(all_57_11) & $i(all_57_12) &
% 196.24/31.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13) & $i(all_57_14) & $i(all_57_15) &
% 196.24/31.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27)) | (all_57_31 = e1 & ~ (all_57_16
% 196.24/31.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_18 = e2) & ~ (all_57_20 =
% 196.24/31.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_22 = e0) & ~ (all_57_29 =
% 196.24/31.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & op(e1, all_57_17) = all_57_16 & op(e1,
% 196.24/31.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_19) = all_57_18 & op(e1, all_57_21) =
% 196.24/31.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20 & op(e1, all_57_23) = all_57_22 &
% 196.24/31.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_17 & op(e1, e2) = all_57_19
% 196.24/31.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = all_57_21 & op(e1, e0) =
% 196.24/31.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23 & op(e0, e1) = all_57_29 &
% 196.24/31.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_16) & $i(all_57_17) & $i(all_57_18) &
% 196.24/31.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_20) & $i(all_57_21) &
% 196.24/31.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_23) & $i(all_57_29))
% 196.24/31.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.24/31.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4954) gives:
% 196.24/31.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.24/31.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 196.24/31.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.24/31.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4955) all_57_31 = e2 & ~ (all_57_8 = e3) & ~
% 196.24/31.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e2) & ~ (all_57_12 = e1) & ~
% 196.24/31.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e0) & ~ (all_57_27 = e0) & op(e2,
% 196.24/31.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_9) = all_57_8 & op(e2, all_57_11) =
% 196.24/31.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e2, all_57_13) = all_57_12 & op(e2,
% 196.24/31.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15) = all_57_14 & op(e2, e3) = all_57_9 &
% 196.24/31.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_11 & op(e2, e1) = all_57_13 &
% 196.24/31.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_15 & op(e0, e2) = all_57_27 &
% 196.24/31.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8) & $i(all_57_9) & $i(all_57_10) &
% 196.24/31.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_12) & $i(all_57_13) &
% 196.24/31.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & $i(all_57_15) & $i(all_57_27)
% 196.24/31.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.24/31.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4955) implies:
% 196.24/31.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4956) ~ (all_57_27 = e0)
% 196.24/31.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4957) op(e0, e2) = all_57_27
% 196.24/31.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.24/31.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (238) gives:
% 196.24/31.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.24/31.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 196.24/31.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.24/31.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4958) (all_57_3 = e3 & ~ (all_57_1 = e2) & ~ (all_57_8
% 196.24/31.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_10 = e2) & ~ (all_57_12 =
% 196.24/31.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_14 = e0) & op(e3, e3) =
% 196.24/31.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e2) = e3 & op(e2, all_57_9) =
% 196.24/31.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_8 & op(e2, all_57_11) = all_57_10 &
% 196.24/31.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_13) = all_57_12 & op(e2,
% 196.24/31.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15) = all_57_14 & op(e2, e3) = all_57_9
% 196.24/31.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = all_57_11 & op(e2, e1) =
% 196.24/31.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_13 & op(e2, e0) = all_57_15 &
% 196.24/31.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_8) & $i(all_57_9) &
% 196.24/31.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & $i(all_57_11) & $i(all_57_12) &
% 196.24/31.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13) & $i(all_57_14) & $i(all_57_15)) |
% 196.24/31.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_5 = e3 & ~ (all_57_1 = e1) & ~
% 196.24/31.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_16 = e3) & ~ (all_57_18 = e2) & ~
% 196.24/31.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_22 = e0) & op(e3,
% 196.24/31.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_1 & op(e3, e1) = e3 & op(e1,
% 196.24/31.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17) = all_57_16 & op(e1, all_57_19) =
% 196.24/31.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_18 & op(e1, all_57_21) = all_57_20 &
% 196.24/31.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_23) = all_57_22 & op(e1, e3) =
% 196.24/31.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e1, e2) = all_57_19 & op(e1, e1)
% 196.24/31.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_21 & op(e1, e0) = all_57_23 &
% 196.24/31.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_16) & $i(all_57_17) &
% 196.24/31.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_19) & $i(all_57_20) &
% 196.24/31.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_22) & $i(all_57_23)) |
% 196.24/31.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_7 = e3 & ~ (all_57_1 = e0) & ~
% 196.24/31.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 196.24/31.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) & op(e3,
% 196.24/31.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_1 & op(e3, e0) = e3 & op(e0,
% 196.24/31.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25) = all_57_24 & op(e0, all_57_27) =
% 196.24/31.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e0, all_57_29) = all_57_28 &
% 196.24/31.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_31) = all_57_30 & op(e0, e3) =
% 196.24/31.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_27 & op(e0, e1)
% 196.24/31.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_29 & op(e0, e0) = all_57_31 &
% 196.24/31.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_24) & $i(all_57_25) &
% 196.24/31.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_27) & $i(all_57_28) &
% 196.24/31.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29) & $i(all_57_30) & $i(all_57_31)) |
% 196.24/31.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e2 & ~ (all_57_0 = e3) & ~ (all_57_2
% 196.24/31.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2) & ~ (all_57_4 = e1) & ~ (all_57_6 =
% 196.24/31.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_11 = e3) & op(e3, all_57_1) =
% 196.24/31.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_0 & op(e3, all_57_3) = all_57_2 & op(e3,
% 196.24/31.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_5) = all_57_4 & op(e3, all_57_7) =
% 196.24/31.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_6 & op(e3, e3) = all_57_1 & op(e3, e2) =
% 196.24/31.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 & op(e3, e1) = all_57_5 & op(e3, e0) =
% 196.24/31.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7 & op(e2, e3) = e2 & op(e2, e2) =
% 196.24/31.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_11 & $i(all_57_0) & $i(all_57_1) &
% 196.24/31.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_2) & $i(all_57_3) & $i(all_57_4) &
% 196.24/31.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 196.24/31.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11))
% 196.24/31.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.24/31.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4958) gives:
% 196.24/31.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.24/31.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 196.24/31.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.24/31.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4959) (all_57_3 = e3 & ~ (all_57_1 = e2) & ~ (all_57_8
% 196.24/31.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_10 = e2) & ~ (all_57_12 =
% 196.24/31.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_14 = e0) & op(e3, e3) =
% 196.24/31.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e2) = e3 & op(e2, all_57_9) =
% 196.24/31.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_8 & op(e2, all_57_11) = all_57_10 &
% 196.24/31.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_13) = all_57_12 & op(e2,
% 196.24/31.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15) = all_57_14 & op(e2, e3) = all_57_9
% 196.24/31.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = all_57_11 & op(e2, e1) =
% 196.24/31.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_13 & op(e2, e0) = all_57_15 &
% 196.24/31.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_8) & $i(all_57_9) &
% 196.24/31.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & $i(all_57_11) & $i(all_57_12) &
% 196.24/31.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13) & $i(all_57_14) & $i(all_57_15)) |
% 196.24/31.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_5 = e3 & ~ (all_57_1 = e1) & ~
% 196.24/31.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_16 = e3) & ~ (all_57_18 = e2) & ~
% 196.24/31.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_22 = e0) & op(e3,
% 196.24/31.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_1 & op(e3, e1) = e3 & op(e1,
% 196.24/31.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17) = all_57_16 & op(e1, all_57_19) =
% 196.24/31.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_18 & op(e1, all_57_21) = all_57_20 &
% 196.24/31.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_23) = all_57_22 & op(e1, e3) =
% 196.24/31.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e1, e2) = all_57_19 & op(e1, e1)
% 196.24/31.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_21 & op(e1, e0) = all_57_23 &
% 196.24/31.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_16) & $i(all_57_17) &
% 196.24/31.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_19) & $i(all_57_20) &
% 196.24/31.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_22) & $i(all_57_23))
% 196.24/31.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.24/31.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (170), (3896), (4362), (4959), (function-axioms)
% 196.24/31.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1606.
% 196.24/31.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.24/31.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 196.24/31.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.24/31.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4960) (all_57_7 = e3 & ~ (all_57_1 = e0) & ~
% 196.24/31.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 196.24/31.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) & op(e3,
% 196.24/31.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_1 & op(e3, e0) = e3 & op(e0,
% 196.24/31.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25) = all_57_24 & op(e0, all_57_27) =
% 196.24/31.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e0, all_57_29) = all_57_28 &
% 196.24/31.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_31) = all_57_30 & op(e0, e3) =
% 196.24/31.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_27 & op(e0, e1)
% 196.24/31.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_29 & op(e0, e0) = all_57_31 &
% 196.24/31.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_24) & $i(all_57_25) &
% 196.24/31.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_27) & $i(all_57_28) &
% 196.24/31.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29) & $i(all_57_30) & $i(all_57_31)) |
% 196.24/31.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e2 & ~ (all_57_0 = e3) & ~ (all_57_2
% 196.24/31.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2) & ~ (all_57_4 = e1) & ~ (all_57_6 =
% 196.24/31.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_11 = e3) & op(e3, all_57_1) =
% 196.24/31.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_0 & op(e3, all_57_3) = all_57_2 & op(e3,
% 196.24/31.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_5) = all_57_4 & op(e3, all_57_7) =
% 196.24/31.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_6 & op(e3, e3) = all_57_1 & op(e3, e2) =
% 196.24/31.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 & op(e3, e1) = all_57_5 & op(e3, e0) =
% 196.24/31.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7 & op(e2, e3) = e2 & op(e2, e2) =
% 196.24/31.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_11 & $i(all_57_0) & $i(all_57_1) &
% 196.24/31.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_2) & $i(all_57_3) & $i(all_57_4) &
% 196.24/31.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 196.24/31.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11))
% 196.24/31.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.24/31.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4913), (4937), (4960), (function-axioms) are
% 196.24/31.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1245.
% 196.24/31.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.24/31.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 196.24/31.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.24/31.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 196.24/31.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.24/31.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4961) (all_57_13 = e2 & ~ (all_57_11 = e1) & ~
% 196.24/31.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_16 = e3) & ~ (all_57_18 = e2) & ~
% 196.24/31.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_22 = e0) & op(e2,
% 196.24/31.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_11 & op(e2, e1) = e2 & op(e1,
% 196.24/31.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17) = all_57_16 & op(e1, all_57_19) =
% 196.24/31.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_18 & op(e1, all_57_21) = all_57_20 &
% 196.24/31.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_23) = all_57_22 & op(e1, e3) =
% 196.24/31.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e1, e2) = all_57_19 & op(e1, e1)
% 196.24/31.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_21 & op(e1, e0) = all_57_23 &
% 196.24/31.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_16) & $i(all_57_17) &
% 196.24/31.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_19) & $i(all_57_20) &
% 196.24/31.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_22) & $i(all_57_23)) |
% 196.24/31.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e2 & ~ (all_57_11 = e0) & ~
% 196.24/31.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 196.24/31.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) & op(e2,
% 196.24/31.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_11 & op(e2, e0) = e2 & op(e0,
% 196.24/31.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25) = all_57_24 & op(e0, all_57_27) =
% 196.24/31.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e0, all_57_29) = all_57_28 &
% 196.24/31.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_31) = all_57_30 & op(e0, e3) =
% 196.24/31.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_27 & op(e0, e1)
% 196.24/31.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_29 & op(e0, e0) = all_57_31 &
% 196.24/31.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_24) & $i(all_57_25) &
% 196.24/31.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_27) & $i(all_57_28) &
% 196.24/31.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29) & $i(all_57_30) & $i(all_57_31)) |
% 196.24/31.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_17 = e1 & ~ (all_57_0 = e3) & ~
% 196.24/31.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e2) & ~ (all_57_4 = e1) & ~
% 196.24/31.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_6 = e0) & ~ (all_57_21 = e3) & op(e3,
% 196.24/31.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1) = all_57_0 & op(e3, all_57_3) =
% 196.24/31.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_2 & op(e3, all_57_5) = all_57_4 & op(e3,
% 196.24/31.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7) = all_57_6 & op(e3, e3) = all_57_1 &
% 196.24/31.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_3 & op(e3, e1) = all_57_5 &
% 196.24/31.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_7 & op(e1, e3) = e1 & op(e1,
% 196.24/31.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_21 & $i(all_57_0) & $i(all_57_1)
% 196.24/31.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_2) & $i(all_57_3) & $i(all_57_4) &
% 196.24/31.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 196.24/31.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21)) | (all_57_19 = e1 & ~ (all_57_8
% 196.24/31.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_10 = e2) & ~ (all_57_12 =
% 196.24/31.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_14 = e0) & ~ (all_57_21 =
% 196.24/31.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & op(e2, all_57_9) = all_57_8 & op(e2,
% 196.24/31.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_11) = all_57_10 & op(e2, all_57_13) =
% 196.24/31.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & op(e2, all_57_15) = all_57_14 &
% 196.24/31.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_9 & op(e2, e2) = all_57_11 &
% 196.24/31.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_57_13 & op(e2, e0) = all_57_15
% 196.24/31.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e1 & op(e1, e1) = all_57_21 &
% 196.24/31.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8) & $i(all_57_9) & $i(all_57_10) &
% 196.24/31.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_12) & $i(all_57_13) &
% 196.24/31.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & $i(all_57_15) & $i(all_57_21)) |
% 196.24/31.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (op(e0, e0) = all_57_31 & $i(all_57_31) &
% 196.24/31.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_23 = e1 & ~ (all_57_21 = e0) & ~
% 196.24/31.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 196.24/31.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) &
% 196.24/31.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_21 & op(e1, e0) = e1 &
% 196.24/31.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_25) = all_57_24 & op(e0,
% 196.24/31.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27) = all_57_26 & op(e0, all_57_29)
% 196.24/31.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_28 & op(e0, all_57_31) = all_57_30
% 196.24/31.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e3) = all_57_25 & op(e0, e2) =
% 196.24/31.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27 & op(e0, e1) = all_57_29 &
% 196.24/31.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_24) &
% 196.24/31.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_25) & $i(all_57_26) &
% 196.24/31.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27) & $i(all_57_28) &
% 196.24/31.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29) & $i(all_57_30)) | (all_57_25
% 196.24/31.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & ~ (all_57_0 = e3) & ~ (all_57_2 =
% 196.24/31.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_4 = e1) & ~ (all_57_6 =
% 196.24/31.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_31 = e3) & op(e3,
% 196.24/31.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1) = all_57_0 & op(e3, all_57_3) =
% 196.24/31.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_2 & op(e3, all_57_5) = all_57_4 &
% 196.24/31.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, all_57_7) = all_57_6 & op(e3, e3) =
% 196.24/31.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e2) = all_57_3 & op(e3,
% 196.24/31.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_5 & op(e3, e0) = all_57_7 &
% 196.24/31.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_0) &
% 196.24/31.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_2) & $i(all_57_3) &
% 196.24/31.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4) & $i(all_57_5) & $i(all_57_6) &
% 196.24/31.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7)) | (all_57_27 = e0 & ~
% 196.24/31.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e3) & ~ (all_57_10 = e2) & ~
% 196.24/31.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e1) & ~ (all_57_14 = e0) & ~
% 196.24/31.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e2) & op(e2, all_57_9) =
% 196.24/31.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_8 & op(e2, all_57_11) = all_57_10 &
% 196.24/31.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_13) = all_57_12 & op(e2,
% 196.24/31.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15) = all_57_14 & op(e2, e3) =
% 196.24/31.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_9 & op(e2, e2) = all_57_11 & op(e2,
% 196.24/31.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_13 & op(e2, e0) = all_57_15 &
% 196.24/31.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_8) &
% 196.24/31.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9) & $i(all_57_10) & $i(all_57_11)
% 196.24/31.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_12) & $i(all_57_13) &
% 196.24/31.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & $i(all_57_15)) | (all_57_29
% 196.24/31.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & ~ (all_57_16 = e3) & ~ (all_57_18 =
% 196.24/31.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_20 = e1) & ~ (all_57_22
% 196.24/31.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_31 = e1) & op(e1,
% 196.24/31.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17) = all_57_16 & op(e1, all_57_19)
% 196.24/31.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_18 & op(e1, all_57_21) = all_57_20
% 196.24/31.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, all_57_23) = all_57_22 & op(e1, e3)
% 196.24/31.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_17 & op(e1, e2) = all_57_19 &
% 196.24/31.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_21 & op(e1, e0) =
% 196.24/31.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23 & op(e0, e1) = e0 & $i(all_57_16)
% 196.24/31.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_17) & $i(all_57_18) &
% 196.24/31.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_20) &
% 196.24/31.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_22) &
% 196.24/31.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23))))
% 196.24/31.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.24/31.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4961) gives:
% 196.24/31.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.24/31.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 196.24/31.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.24/31.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4962) (all_57_13 = e2 & ~ (all_57_11 = e1) & ~
% 196.24/31.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_16 = e3) & ~ (all_57_18 = e2) & ~
% 196.24/31.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_22 = e0) & op(e2,
% 196.24/31.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_11 & op(e2, e1) = e2 & op(e1,
% 196.24/31.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17) = all_57_16 & op(e1, all_57_19) =
% 196.24/31.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_18 & op(e1, all_57_21) = all_57_20 &
% 196.24/31.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_23) = all_57_22 & op(e1, e3) =
% 196.24/31.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e1, e2) = all_57_19 & op(e1, e1)
% 196.24/31.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_21 & op(e1, e0) = all_57_23 &
% 196.24/31.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_16) & $i(all_57_17) &
% 196.24/31.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_19) & $i(all_57_20) &
% 196.24/31.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_22) & $i(all_57_23)) |
% 196.24/31.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e2 & ~ (all_57_11 = e0) & ~
% 196.24/31.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 196.24/31.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) & op(e2,
% 196.24/31.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_11 & op(e2, e0) = e2 & op(e0,
% 196.24/31.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25) = all_57_24 & op(e0, all_57_27) =
% 196.24/31.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e0, all_57_29) = all_57_28 &
% 196.24/31.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_31) = all_57_30 & op(e0, e3) =
% 196.24/31.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_27 & op(e0, e1)
% 196.24/31.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_29 & op(e0, e0) = all_57_31 &
% 196.24/31.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_24) & $i(all_57_25) &
% 196.24/31.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_27) & $i(all_57_28) &
% 196.24/31.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29) & $i(all_57_30) & $i(all_57_31))
% 196.24/31.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.24/31.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4962) gives:
% 196.24/31.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.24/31.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 196.24/31.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.24/31.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4963) all_57_13 = e2 & ~ (all_57_11 = e1) & ~
% 196.24/31.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_16 = e3) & ~ (all_57_18 = e2) & ~
% 196.24/31.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_22 = e0) & op(e2,
% 196.24/31.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_11 & op(e2, e1) = e2 & op(e1,
% 196.24/31.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17) = all_57_16 & op(e1, all_57_19) =
% 196.24/31.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_18 & op(e1, all_57_21) = all_57_20 & op(e1,
% 196.24/31.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23) = all_57_22 & op(e1, e3) = all_57_17
% 196.24/31.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = all_57_19 & op(e1, e1) = all_57_21
% 196.24/31.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e0) = all_57_23 & $i(all_57_11) &
% 196.24/31.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_16) & $i(all_57_17) & $i(all_57_18) &
% 196.24/31.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_20) & $i(all_57_21) &
% 196.24/31.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_23)
% 196.24/31.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.24/31.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4963) implies:
% 196.24/31.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4964) ~ (all_57_20 = e1)
% 196.24/31.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4965) op(e1, e1) = all_57_21
% 196.24/31.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4966) op(e1, all_57_21) = all_57_20
% 196.24/31.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.24/31.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (335), (372), (4702), (4964), (4965),
% 196.24/31.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4966), (function-axioms) are inconsistent by
% 196.24/31.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1885.
% 196.24/31.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.24/31.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 196.24/31.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.24/31.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4967) all_57_15 = e2 & ~ (all_57_11 = e0) & ~
% 196.24/31.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 196.24/31.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) & op(e2,
% 196.24/31.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_11 & op(e2, e0) = e2 & op(e0,
% 196.24/31.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25) = all_57_24 & op(e0, all_57_27) =
% 196.24/31.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e0, all_57_29) = all_57_28 & op(e0,
% 196.24/31.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_31) = all_57_30 & op(e0, e3) = all_57_25
% 196.24/31.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e2) = all_57_27 & op(e0, e1) = all_57_29
% 196.24/31.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = all_57_31 & $i(all_57_11) &
% 196.24/31.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_24) & $i(all_57_25) & $i(all_57_26) &
% 196.24/31.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27) & $i(all_57_28) & $i(all_57_29) &
% 196.24/31.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30) & $i(all_57_31)
% 196.24/31.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.24/31.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4967) implies:
% 196.24/31.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4968) ~ (all_57_24 = e3)
% 196.24/31.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4969) op(e0, e3) = all_57_25
% 196.24/31.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4970) op(e0, all_57_25) = all_57_24
% 196.24/31.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.24/31.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4937), (4968), (4969), (4970), (function-axioms)
% 196.24/31.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1630.
% 196.24/31.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.24/31.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 196.24/31.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.24/31.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 196.24/31.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.24/31.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4971) (all_57_17 = e1 & ~ (all_57_0 = e3) & ~
% 196.24/31.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e2) & ~ (all_57_4 = e1) & ~
% 196.24/31.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_6 = e0) & ~ (all_57_21 = e3) & op(e3,
% 196.24/31.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1) = all_57_0 & op(e3, all_57_3) =
% 196.24/31.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_2 & op(e3, all_57_5) = all_57_4 & op(e3,
% 196.24/31.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7) = all_57_6 & op(e3, e3) = all_57_1 &
% 196.24/31.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_3 & op(e3, e1) = all_57_5 &
% 196.24/31.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_7 & op(e1, e3) = e1 & op(e1,
% 196.24/31.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_21 & $i(all_57_0) & $i(all_57_1)
% 196.24/31.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_2) & $i(all_57_3) & $i(all_57_4) &
% 196.24/31.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 196.24/31.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21)) | (all_57_19 = e1 & ~ (all_57_8
% 196.24/31.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_10 = e2) & ~ (all_57_12 =
% 196.24/31.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_14 = e0) & ~ (all_57_21 =
% 196.24/31.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & op(e2, all_57_9) = all_57_8 & op(e2,
% 196.24/31.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_11) = all_57_10 & op(e2, all_57_13) =
% 196.24/31.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & op(e2, all_57_15) = all_57_14 &
% 196.24/31.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_9 & op(e2, e2) = all_57_11 &
% 196.24/31.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_57_13 & op(e2, e0) = all_57_15
% 196.24/31.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e1 & op(e1, e1) = all_57_21 &
% 196.24/31.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8) & $i(all_57_9) & $i(all_57_10) &
% 196.24/31.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_12) & $i(all_57_13) &
% 196.24/31.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & $i(all_57_15) & $i(all_57_21)) |
% 196.24/31.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (op(e0, e0) = all_57_31 & $i(all_57_31) &
% 196.24/31.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_23 = e1 & ~ (all_57_21 = e0) & ~
% 196.24/31.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 196.24/31.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) &
% 196.24/31.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_21 & op(e1, e0) = e1 &
% 196.24/31.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_25) = all_57_24 & op(e0,
% 196.24/31.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27) = all_57_26 & op(e0, all_57_29)
% 196.24/31.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_28 & op(e0, all_57_31) = all_57_30
% 196.24/31.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e3) = all_57_25 & op(e0, e2) =
% 196.24/31.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27 & op(e0, e1) = all_57_29 &
% 196.24/31.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_24) &
% 196.24/31.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_25) & $i(all_57_26) &
% 196.24/31.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27) & $i(all_57_28) &
% 196.24/31.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29) & $i(all_57_30)) | (all_57_25
% 196.24/31.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & ~ (all_57_0 = e3) & ~ (all_57_2 =
% 196.24/31.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_4 = e1) & ~ (all_57_6 =
% 196.24/31.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_31 = e3) & op(e3,
% 196.24/31.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1) = all_57_0 & op(e3, all_57_3) =
% 196.24/31.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_2 & op(e3, all_57_5) = all_57_4 &
% 196.24/31.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, all_57_7) = all_57_6 & op(e3, e3) =
% 196.24/31.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e2) = all_57_3 & op(e3,
% 196.24/31.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_5 & op(e3, e0) = all_57_7 &
% 196.24/31.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_0) &
% 196.24/31.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_2) & $i(all_57_3) &
% 196.24/31.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4) & $i(all_57_5) & $i(all_57_6) &
% 196.24/31.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7)) | (all_57_27 = e0 & ~
% 196.24/31.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e3) & ~ (all_57_10 = e2) & ~
% 196.24/31.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e1) & ~ (all_57_14 = e0) & ~
% 196.24/31.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e2) & op(e2, all_57_9) =
% 196.24/31.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_8 & op(e2, all_57_11) = all_57_10 &
% 196.24/31.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_13) = all_57_12 & op(e2,
% 196.24/31.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15) = all_57_14 & op(e2, e3) =
% 196.24/31.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_9 & op(e2, e2) = all_57_11 & op(e2,
% 196.24/31.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_13 & op(e2, e0) = all_57_15 &
% 196.24/31.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_8) &
% 196.24/31.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9) & $i(all_57_10) & $i(all_57_11)
% 196.24/31.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_12) & $i(all_57_13) &
% 196.24/31.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & $i(all_57_15)) | (all_57_29
% 196.24/31.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & ~ (all_57_16 = e3) & ~ (all_57_18 =
% 196.24/31.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_20 = e1) & ~ (all_57_22
% 196.24/31.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_31 = e1) & op(e1,
% 196.24/31.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17) = all_57_16 & op(e1, all_57_19)
% 196.24/31.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_18 & op(e1, all_57_21) = all_57_20
% 196.24/31.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, all_57_23) = all_57_22 & op(e1, e3)
% 196.24/31.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_17 & op(e1, e2) = all_57_19 &
% 196.24/31.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_21 & op(e1, e0) =
% 196.24/31.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23 & op(e0, e1) = e0 & $i(all_57_16)
% 196.24/31.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_17) & $i(all_57_18) &
% 196.24/31.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_20) &
% 196.24/31.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_22) &
% 196.24/31.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23))))
% 196.24/31.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.24/31.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4971) gives:
% 196.24/31.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.24/31.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 196.24/31.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.24/31.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4972) all_57_17 = e1 & ~ (all_57_0 = e3) & ~ (all_57_2
% 196.24/31.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2) & ~ (all_57_4 = e1) & ~ (all_57_6 = e0)
% 196.24/31.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_21 = e3) & op(e3, all_57_1) =
% 196.24/31.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_0 & op(e3, all_57_3) = all_57_2 & op(e3,
% 196.24/31.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_5) = all_57_4 & op(e3, all_57_7) =
% 196.24/31.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_6 & op(e3, e3) = all_57_1 & op(e3, e2) =
% 196.24/31.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 & op(e3, e1) = all_57_5 & op(e3, e0) =
% 196.24/31.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7 & op(e1, e3) = e1 & op(e1, e1) =
% 196.24/31.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_21 & $i(all_57_0) & $i(all_57_1) &
% 196.24/31.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_2) & $i(all_57_3) & $i(all_57_4) &
% 196.24/31.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 196.24/31.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21)
% 196.24/31.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.24/31.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4972) implies:
% 196.24/31.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4973) ~ (all_57_6 = e0)
% 196.24/31.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4974) op(e3, e0) = all_57_7
% 196.24/31.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4975) op(e3, all_57_7) = all_57_6
% 196.24/31.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.24/31.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4913), (4973), (4974), (4975), (function-axioms)
% 196.24/31.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1632.
% 196.24/31.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.24/31.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 196.24/31.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.24/31.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4976) (all_57_19 = e1 & ~ (all_57_8 = e3) & ~
% 196.24/31.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e2) & ~ (all_57_12 = e1) & ~
% 196.24/31.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e0) & ~ (all_57_21 = e2) & op(e2,
% 196.24/31.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_9) = all_57_8 & op(e2, all_57_11) =
% 196.24/31.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e2, all_57_13) = all_57_12 &
% 196.24/31.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_15) = all_57_14 & op(e2, e3) =
% 196.24/31.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_9 & op(e2, e2) = all_57_11 & op(e2, e1) =
% 196.24/31.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_13 & op(e2, e0) = all_57_15 & op(e1, e2)
% 196.24/31.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & op(e1, e1) = all_57_21 & $i(all_57_8) &
% 196.24/31.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9) & $i(all_57_10) & $i(all_57_11) &
% 196.24/31.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & $i(all_57_13) & $i(all_57_14) &
% 196.24/31.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & $i(all_57_21)) | (op(e0, e0) =
% 196.24/31.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_31 & $i(all_57_31) & ((all_57_23 = e1 &
% 196.24/31.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_21 = e0) & ~ (all_57_24 = e3) &
% 196.24/31.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_26 = e2) & ~ (all_57_28 = e1) &
% 196.24/31.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_30 = e0) & op(e1, e1) = all_57_21
% 196.24/31.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e0) = e1 & op(e0, all_57_25) =
% 196.24/31.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_24 & op(e0, all_57_27) = all_57_26 &
% 196.24/31.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_29) = all_57_28 & op(e0,
% 196.24/31.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_31) = all_57_30 & op(e0, e3) =
% 196.24/31.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_27 & op(e0,
% 196.24/31.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_29 & $i(all_57_21) &
% 196.24/31.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_24) & $i(all_57_25) &
% 196.24/31.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_27) &
% 196.24/31.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28) & $i(all_57_29) &
% 196.24/31.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_25 = e0 & ~
% 196.24/31.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_0 = e3) & ~ (all_57_2 = e2) & ~
% 196.24/31.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1) & ~ (all_57_6 = e0) & ~
% 196.24/31.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e3) & op(e3, all_57_1) =
% 196.24/31.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_0 & op(e3, all_57_3) = all_57_2 &
% 196.24/31.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, all_57_5) = all_57_4 & op(e3,
% 196.24/31.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7) = all_57_6 & op(e3, e3) =
% 196.24/31.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e2) = all_57_3 & op(e3,
% 196.24/31.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_5 & op(e3, e0) = all_57_7 &
% 196.24/31.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_0) &
% 196.24/31.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_2) & $i(all_57_3) &
% 196.24/31.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4) & $i(all_57_5) & $i(all_57_6) &
% 196.24/31.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7)) | (all_57_27 = e0 & ~
% 196.24/31.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e3) & ~ (all_57_10 = e2) & ~
% 196.24/31.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e1) & ~ (all_57_14 = e0) & ~
% 196.24/31.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e2) & op(e2, all_57_9) =
% 196.24/31.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_8 & op(e2, all_57_11) = all_57_10 &
% 196.24/31.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_13) = all_57_12 & op(e2,
% 196.24/31.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15) = all_57_14 & op(e2, e3) =
% 196.24/31.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_9 & op(e2, e2) = all_57_11 & op(e2,
% 196.24/31.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_13 & op(e2, e0) = all_57_15 &
% 196.24/31.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_8) &
% 196.24/31.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9) & $i(all_57_10) & $i(all_57_11)
% 196.24/31.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_12) & $i(all_57_13) &
% 196.24/31.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & $i(all_57_15)) | (all_57_29
% 196.24/31.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & ~ (all_57_16 = e3) & ~ (all_57_18 =
% 196.24/31.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_20 = e1) & ~ (all_57_22
% 196.24/31.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_31 = e1) & op(e1,
% 196.24/31.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17) = all_57_16 & op(e1, all_57_19)
% 196.24/31.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_18 & op(e1, all_57_21) = all_57_20
% 196.24/31.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, all_57_23) = all_57_22 & op(e1, e3)
% 196.24/31.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_17 & op(e1, e2) = all_57_19 &
% 196.24/31.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_21 & op(e1, e0) =
% 196.24/31.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23 & op(e0, e1) = e0 & $i(all_57_16)
% 196.24/31.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_17) & $i(all_57_18) &
% 196.24/31.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_20) &
% 196.24/31.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_22) &
% 196.24/31.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23))))
% 196.24/31.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.24/31.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4976) gives:
% 196.24/31.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.24/31.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 196.24/31.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.24/31.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4977) all_57_19 = e1 & ~ (all_57_8 = e3) & ~
% 196.24/31.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e2) & ~ (all_57_12 = e1) & ~
% 196.24/31.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e0) & ~ (all_57_21 = e2) & op(e2,
% 196.24/31.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_9) = all_57_8 & op(e2, all_57_11) =
% 196.24/31.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e2, all_57_13) = all_57_12 & op(e2,
% 196.24/31.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15) = all_57_14 & op(e2, e3) = all_57_9 &
% 196.24/31.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_11 & op(e2, e1) = all_57_13 &
% 196.24/31.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_15 & op(e1, e2) = e1 & op(e1,
% 196.24/31.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_21 & $i(all_57_8) & $i(all_57_9) &
% 196.24/31.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & $i(all_57_11) & $i(all_57_12) &
% 196.24/31.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13) & $i(all_57_14) & $i(all_57_15) &
% 196.24/31.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21)
% 196.24/31.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.24/31.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4977) implies:
% 196.24/31.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4978) op(e1, e2) = e1
% 196.24/31.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.24/31.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (162), (4742), (4978), (function-axioms) are
% 196.24/31.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1480.
% 196.24/31.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.24/31.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 196.24/31.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.24/31.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4979) op(e0, e0) = all_57_31 & $i(all_57_31) &
% 196.24/31.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_23 = e1 & ~ (all_57_21 = e0) & ~
% 196.24/31.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 196.24/31.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) &
% 196.24/31.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_21 & op(e1, e0) = e1 &
% 196.24/31.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_25) = all_57_24 & op(e0,
% 196.24/31.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27) = all_57_26 & op(e0, all_57_29) =
% 196.24/31.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_28 & op(e0, all_57_31) = all_57_30 &
% 196.24/31.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_25 & op(e0, e2) =
% 196.24/31.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27 & op(e0, e1) = all_57_29 &
% 196.24/31.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_24) & $i(all_57_25)
% 196.24/31.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_26) & $i(all_57_27) &
% 196.24/31.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28) & $i(all_57_29) & $i(all_57_30))
% 196.24/31.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_25 = e0 & ~ (all_57_0 = e3) & ~
% 196.24/31.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e2) & ~ (all_57_4 = e1) & ~
% 196.24/31.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_6 = e0) & ~ (all_57_31 = e3) & op(e3,
% 196.24/31.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1) = all_57_0 & op(e3, all_57_3) =
% 196.24/31.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_2 & op(e3, all_57_5) = all_57_4 &
% 196.24/31.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, all_57_7) = all_57_6 & op(e3, e3) =
% 196.24/31.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e2) = all_57_3 & op(e3, e1)
% 196.24/31.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_5 & op(e3, e0) = all_57_7 & op(e0,
% 196.24/31.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e0 & $i(all_57_0) & $i(all_57_1) &
% 196.24/31.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_2) & $i(all_57_3) & $i(all_57_4) &
% 196.24/31.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_6) & $i(all_57_7)) |
% 196.24/31.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_27 = e0 & ~ (all_57_8 = e3) & ~
% 196.24/31.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e2) & ~ (all_57_12 = e1) & ~
% 196.24/31.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e0) & ~ (all_57_31 = e2) &
% 196.24/31.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_9) = all_57_8 & op(e2,
% 196.24/31.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_11) = all_57_10 & op(e2, all_57_13) =
% 196.24/31.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & op(e2, all_57_15) = all_57_14 &
% 196.24/31.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_9 & op(e2, e2) = all_57_11
% 196.24/31.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = all_57_13 & op(e2, e0) =
% 196.24/31.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15 & op(e0, e2) = e0 & $i(all_57_8) &
% 196.24/31.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9) & $i(all_57_10) & $i(all_57_11) &
% 196.24/31.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & $i(all_57_13) & $i(all_57_14)
% 196.24/31.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_15)) | (all_57_29 = e0 & ~
% 196.24/31.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_16 = e3) & ~ (all_57_18 = e2) & ~
% 196.24/31.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_22 = e0) & ~
% 196.24/31.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e1) & op(e1, all_57_17) =
% 196.24/31.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_16 & op(e1, all_57_19) = all_57_18 &
% 196.24/31.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_21) = all_57_20 & op(e1,
% 196.24/31.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23) = all_57_22 & op(e1, e3) =
% 196.24/31.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e1, e2) = all_57_19 & op(e1,
% 196.24/31.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_21 & op(e1, e0) = all_57_23 &
% 196.24/31.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_16) &
% 196.24/31.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_17) & $i(all_57_18) & $i(all_57_19)
% 196.24/31.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_20) & $i(all_57_21) &
% 196.24/31.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_23)))
% 196.24/31.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.24/31.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4979) implies:
% 196.24/31.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4980) (all_57_23 = e1 & ~ (all_57_21 = e0) & ~
% 196.24/31.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 196.24/31.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) & op(e1,
% 196.24/31.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_21 & op(e1, e0) = e1 & op(e0,
% 196.24/31.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25) = all_57_24 & op(e0, all_57_27) =
% 196.24/31.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e0, all_57_29) = all_57_28 &
% 196.24/31.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_31) = all_57_30 & op(e0, e3) =
% 196.24/31.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_27 & op(e0, e1)
% 196.24/31.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_29 & $i(all_57_21) & $i(all_57_24) &
% 196.24/31.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_25) & $i(all_57_26) & $i(all_57_27) &
% 196.24/31.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28) & $i(all_57_29) & $i(all_57_30)) |
% 196.24/31.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_25 = e0 & ~ (all_57_0 = e3) & ~
% 196.24/31.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e2) & ~ (all_57_4 = e1) & ~
% 196.24/31.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_6 = e0) & ~ (all_57_31 = e3) & op(e3,
% 196.24/31.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1) = all_57_0 & op(e3, all_57_3) =
% 196.24/31.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_2 & op(e3, all_57_5) = all_57_4 & op(e3,
% 196.24/31.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7) = all_57_6 & op(e3, e3) = all_57_1 &
% 196.24/31.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_3 & op(e3, e1) = all_57_5 &
% 196.24/31.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_7 & op(e0, e3) = e0 &
% 196.24/31.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_0) & $i(all_57_1) & $i(all_57_2) &
% 196.24/31.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_3) & $i(all_57_4) & $i(all_57_5) &
% 196.24/31.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_6) & $i(all_57_7)) | (all_57_27 = e0 &
% 196.24/31.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_8 = e3) & ~ (all_57_10 = e2) & ~
% 196.24/31.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e1) & ~ (all_57_14 = e0) & ~
% 196.24/31.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e2) & op(e2, all_57_9) = all_57_8 &
% 196.24/31.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_11) = all_57_10 & op(e2,
% 196.24/31.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_13) = all_57_12 & op(e2, all_57_15) =
% 196.24/31.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_14 & op(e2, e3) = all_57_9 & op(e2, e2) =
% 196.24/31.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_11 & op(e2, e1) = all_57_13 & op(e2, e0)
% 196.24/31.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_15 & op(e0, e2) = e0 & $i(all_57_8) &
% 196.24/31.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9) & $i(all_57_10) & $i(all_57_11) &
% 196.24/31.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & $i(all_57_13) & $i(all_57_14) &
% 196.24/31.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15)) | (all_57_29 = e0 & ~ (all_57_16
% 196.24/31.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_18 = e2) & ~ (all_57_20 =
% 196.24/31.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_22 = e0) & ~ (all_57_31 =
% 196.24/31.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & op(e1, all_57_17) = all_57_16 & op(e1,
% 196.24/31.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_19) = all_57_18 & op(e1, all_57_21) =
% 196.24/31.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20 & op(e1, all_57_23) = all_57_22 &
% 196.24/31.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_17 & op(e1, e2) = all_57_19
% 196.24/31.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = all_57_21 & op(e1, e0) =
% 196.24/31.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23 & op(e0, e1) = e0 & $i(all_57_16) &
% 196.24/31.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_17) & $i(all_57_18) & $i(all_57_19) &
% 196.24/31.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_20) & $i(all_57_21) & $i(all_57_22) &
% 196.24/31.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23))
% 196.24/31.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.24/31.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4980) gives:
% 196.24/31.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.24/31.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 196.24/31.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.24/31.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4981) (all_57_23 = e1 & ~ (all_57_21 = e0) & ~
% 196.24/31.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 196.24/31.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) & op(e1,
% 196.24/31.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_21 & op(e1, e0) = e1 & op(e0,
% 196.24/31.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25) = all_57_24 & op(e0, all_57_27) =
% 196.24/31.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e0, all_57_29) = all_57_28 &
% 196.24/31.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_31) = all_57_30 & op(e0, e3) =
% 196.24/31.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_27 & op(e0, e1)
% 196.24/31.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_29 & $i(all_57_21) & $i(all_57_24) &
% 196.24/31.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_25) & $i(all_57_26) & $i(all_57_27) &
% 196.24/31.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28) & $i(all_57_29) & $i(all_57_30)) |
% 196.24/31.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_25 = e0 & ~ (all_57_0 = e3) & ~
% 196.24/31.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e2) & ~ (all_57_4 = e1) & ~
% 196.24/31.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_6 = e0) & ~ (all_57_31 = e3) & op(e3,
% 196.24/31.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1) = all_57_0 & op(e3, all_57_3) =
% 196.24/31.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_2 & op(e3, all_57_5) = all_57_4 & op(e3,
% 196.24/31.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7) = all_57_6 & op(e3, e3) = all_57_1 &
% 196.24/31.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_3 & op(e3, e1) = all_57_5 &
% 196.24/31.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_7 & op(e0, e3) = e0 &
% 196.24/31.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_0) & $i(all_57_1) & $i(all_57_2) &
% 196.24/31.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_3) & $i(all_57_4) & $i(all_57_5) &
% 196.24/31.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_6) & $i(all_57_7))
% 196.24/31.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.24/31.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (160), (4706), (4913), (4981), (function-axioms)
% 196.24/31.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1059.
% 196.24/31.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.24/31.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 196.24/31.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.24/31.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4982) (all_57_27 = e0 & ~ (all_57_8 = e3) & ~
% 196.24/31.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e2) & ~ (all_57_12 = e1) & ~
% 196.24/31.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e0) & ~ (all_57_31 = e2) & op(e2,
% 196.24/31.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_9) = all_57_8 & op(e2, all_57_11) =
% 196.24/31.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e2, all_57_13) = all_57_12 &
% 196.24/31.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_15) = all_57_14 & op(e2, e3) =
% 196.24/31.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_9 & op(e2, e2) = all_57_11 & op(e2, e1) =
% 196.24/31.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_13 & op(e2, e0) = all_57_15 & op(e0, e2)
% 196.24/31.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & $i(all_57_8) & $i(all_57_9) &
% 196.24/31.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & $i(all_57_11) & $i(all_57_12) &
% 196.24/31.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13) & $i(all_57_14) & $i(all_57_15)) |
% 196.24/31.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_29 = e0 & ~ (all_57_16 = e3) & ~
% 196.24/31.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_18 = e2) & ~ (all_57_20 = e1) & ~
% 196.24/31.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_22 = e0) & ~ (all_57_31 = e1) & op(e1,
% 196.24/31.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17) = all_57_16 & op(e1, all_57_19) =
% 196.24/31.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_18 & op(e1, all_57_21) = all_57_20 &
% 196.24/31.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_23) = all_57_22 & op(e1, e3) =
% 196.24/31.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e1, e2) = all_57_19 & op(e1, e1)
% 196.24/31.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_21 & op(e1, e0) = all_57_23 & op(e0,
% 196.24/31.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0 & $i(all_57_16) & $i(all_57_17) &
% 196.24/31.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_19) & $i(all_57_20) &
% 196.24/31.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_22) & $i(all_57_23))
% 196.24/31.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.24/31.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (335), (372), (4702), (4956), (4957),
% 196.24/31.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4982), (function-axioms) are inconsistent by
% 196.24/31.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1057.
% 196.24/31.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.24/31.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 196.24/31.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.24/31.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 196.24/31.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.24/31.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 196.24/31.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.24/31.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 196.24/31.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.24/31.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 196.24/31.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.24/31.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 196.24/31.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.24/31.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4983) all_57_31 = e1 & ~ (all_57_16 = e3) & ~
% 196.24/31.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_18 = e2) & ~ (all_57_20 = e1) & ~
% 196.24/31.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_22 = e0) & ~ (all_57_29 = e0) & op(e1,
% 196.24/31.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17) = all_57_16 & op(e1, all_57_19) =
% 196.24/31.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_18 & op(e1, all_57_21) = all_57_20 & op(e1,
% 196.24/31.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23) = all_57_22 & op(e1, e3) = all_57_17
% 196.24/31.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = all_57_19 & op(e1, e1) = all_57_21
% 196.24/31.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e0) = all_57_23 & op(e0, e1) = all_57_29
% 196.24/31.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_16) & $i(all_57_17) & $i(all_57_18) &
% 196.24/31.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_20) & $i(all_57_21) &
% 196.24/31.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_23) & $i(all_57_29)
% 196.24/31.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.24/31.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4983) implies:
% 196.24/31.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4984) ~ (all_57_20 = e1)
% 196.24/31.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4985) op(e1, e1) = all_57_21
% 196.24/31.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4986) op(e1, all_57_21) = all_57_20
% 196.24/31.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.24/31.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (335), (372), (4702), (4984), (4985),
% 196.24/31.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4986), (function-axioms) are inconsistent by
% 196.24/31.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1885.
% 196.24/31.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.24/31.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 196.24/31.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.24/31.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 196.24/31.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.24/31.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 196.24/31.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.24/31.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 196.24/31.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.24/31.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 196.24/31.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.24/31.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 196.24/31.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.24/31.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 196.24/31.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.24/31.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 196.24/31.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.24/31.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 196.24/31.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.24/31.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4987) all_56_3 = e2 & op(e2, e2) = e2
% 196.24/31.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.24/31.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4987) implies:
% 196.24/31.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4988) op(e2, e2) = e2
% 196.24/31.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.24/31.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (3900), (4988), (function-axioms) are
% 196.24/31.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1963.
% 196.24/31.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.24/31.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 196.24/31.11 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.24/31.11 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 196.24/31.11 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.24/31.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | (4989) (all_56_7 = e2 & op(e1, e2) = e2) | (all_56_13 =
% 196.24/31.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e2)
% 196.24/31.11 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.24/31.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4989) gives:
% 196.24/31.11 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.24/31.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 196.24/31.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.24/31.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4990) all_56_7 = e2 & op(e1, e2) = e2
% 196.24/31.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.24/31.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (51), (168), (169),
% 196.24/31.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (225), (226), (234), (377), (3900), (4675),
% 196.24/31.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4920), (4990), (function-axioms) are inconsistent
% 196.24/31.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1069.
% 196.24/31.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.24/31.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 196.24/31.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.24/31.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4991) all_56_13 = e2 & op(e0, e2) = e2
% 196.24/31.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.24/31.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (158), (4673), (4991), (function-axioms) are
% 196.24/31.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1969.
% 196.24/31.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.24/31.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 196.24/31.11 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.24/31.11 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 196.24/31.11 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.24/31.11 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 196.24/31.11 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.24/31.11 | | | | | | | | | | | | | | | | | | | | | | | | | | (4992) all_54_1 = e1 | all_54_1 = e0
% 196.24/31.11 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.24/31.11 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (3909), (4360), (4910), (4992) are inconsistent by
% 196.24/31.11 | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1123.
% 196.24/31.11 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.24/31.11 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 196.24/31.11 | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.24/31.11 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 196.24/31.11 | | | | | | | | | | | | | | | | | | | | | | | |
% 196.24/31.11 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 196.24/31.11 | | | | | | | | | | | | | | | | | | | | | | |
% 196.24/31.11 | | | | | | | | | | | | | | | | | | | | | | End of split
% 196.24/31.11 | | | | | | | | | | | | | | | | | | | | | |
% 196.24/31.11 | | | | | | | | | | | | | | | | | | | | | End of split
% 196.24/31.11 | | | | | | | | | | | | | | | | | | | | |
% 196.24/31.11 | | | | | | | | | | | | | | | | | | | | End of split
% 196.24/31.11 | | | | | | | | | | | | | | | | | | | |
% 196.24/31.11 | | | | | | | | | | | | | | | | | | | End of split
% 196.24/31.11 | | | | | | | | | | | | | | | | | | |
% 196.24/31.11 | | | | | | | | | | | | | | | | | | Case 2:
% 196.24/31.11 | | | | | | | | | | | | | | | | | | |
% 196.24/31.11 | | | | | | | | | | | | | | | | | | | (4993) (all_56_11 = e1 & op(e1, e0) = e1) | (all_56_15 =
% 196.24/31.11 | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = e1)
% 196.24/31.11 | | | | | | | | | | | | | | | | | | |
% 196.24/31.11 | | | | | | | | | | | | | | | | | | | BETA: splitting (4993) gives:
% 196.24/31.11 | | | | | | | | | | | | | | | | | | |
% 196.24/31.11 | | | | | | | | | | | | | | | | | | | Case 1:
% 196.24/31.11 | | | | | | | | | | | | | | | | | | | |
% 196.24/31.11 | | | | | | | | | | | | | | | | | | | | (4994) all_56_11 = e1 & op(e1, e0) = e1
% 196.24/31.11 | | | | | | | | | | | | | | | | | | | |
% 196.24/31.11 | | | | | | | | | | | | | | | | | | | | ALPHA: (4994) implies:
% 196.24/31.11 | | | | | | | | | | | | | | | | | | | | (4995) op(e1, e0) = e1
% 196.24/31.11 | | | | | | | | | | | | | | | | | | | |
% 196.24/31.11 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (160), (4706), (4995), (function-axioms) are
% 196.24/31.11 | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1938.
% 196.24/31.11 | | | | | | | | | | | | | | | | | | | |
% 196.24/31.11 | | | | | | | | | | | | | | | | | | | Case 2:
% 196.24/31.11 | | | | | | | | | | | | | | | | | | | |
% 196.24/31.11 | | | | | | | | | | | | | | | | | | | | (4996) all_56_15 = e1 & op(e0, e0) = e1
% 196.24/31.11 | | | | | | | | | | | | | | | | | | | |
% 196.24/31.11 | | | | | | | | | | | | | | | | | | | | ALPHA: (4996) implies:
% 196.24/31.11 | | | | | | | | | | | | | | | | | | | | (4997) op(e0, e0) = e1
% 196.24/31.11 | | | | | | | | | | | | | | | | | | | |
% 196.24/31.11 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (159), (206), (208),
% 196.24/31.11 | | | | | | | | | | | | | | | | | | | | (209), (225), (226), (227), (3900), (4672),
% 196.24/31.11 | | | | | | | | | | | | | | | | | | | | (4729), (4730), (4997), (function-axioms) are
% 196.24/31.11 | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1056.
% 196.24/31.11 | | | | | | | | | | | | | | | | | | | |
% 196.24/31.11 | | | | | | | | | | | | | | | | | | | End of split
% 196.24/31.11 | | | | | | | | | | | | | | | | | | |
% 196.24/31.11 | | | | | | | | | | | | | | | | | | End of split
% 196.24/31.11 | | | | | | | | | | | | | | | | | |
% 196.24/31.11 | | | | | | | | | | | | | | | | | End of split
% 196.24/31.11 | | | | | | | | | | | | | | | | |
% 196.24/31.11 | | | | | | | | | | | | | | | | Case 2:
% 196.24/31.11 | | | | | | | | | | | | | | | | |
% 196.24/31.11 | | | | | | | | | | | | | | | | | (4998) (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 =
% 196.24/31.11 | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = e1)
% 196.24/31.11 | | | | | | | | | | | | | | | | |
% 196.24/31.11 | | | | | | | | | | | | | | | | | BETA: splitting (4998) gives:
% 196.24/31.11 | | | | | | | | | | | | | | | | |
% 196.24/31.11 | | | | | | | | | | | | | | | | | Case 1:
% 196.24/31.11 | | | | | | | | | | | | | | | | | |
% 196.24/31.11 | | | | | | | | | | | | | | | | | | (4999) all_56_14 = e1 & op(e0, e1) = e1
% 196.24/31.11 | | | | | | | | | | | | | | | | | |
% 196.24/31.11 | | | | | | | | | | | | | | | | | | ALPHA: (4999) implies:
% 196.24/31.11 | | | | | | | | | | | | | | | | | | (5000) all_56_14 = e1
% 196.24/31.11 | | | | | | | | | | | | | | | | | |
% 196.24/31.11 | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (165), (217), (219),
% 196.24/31.11 | | | | | | | | | | | | | | | | | | (220), (3898), (4709), (5000), (function-axioms)
% 196.24/31.11 | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1116.
% 196.24/31.11 | | | | | | | | | | | | | | | | | |
% 196.24/31.11 | | | | | | | | | | | | | | | | | Case 2:
% 196.24/31.11 | | | | | | | | | | | | | | | | | |
% 196.24/31.11 | | | | | | | | | | | | | | | | | | (5001) all_56_15 = e1 & op(e0, e0) = e1
% 196.24/31.11 | | | | | | | | | | | | | | | | | |
% 196.24/31.11 | | | | | | | | | | | | | | | | | | ALPHA: (5001) implies:
% 196.24/31.11 | | | | | | | | | | | | | | | | | | (5002) op(e0, e0) = e1
% 196.24/31.11 | | | | | | | | | | | | | | | | | |
% 196.24/31.11 | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (4679), (5002), (function-axioms) are
% 196.24/31.11 | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1843.
% 196.24/31.11 | | | | | | | | | | | | | | | | | |
% 196.24/31.11 | | | | | | | | | | | | | | | | | End of split
% 196.24/31.11 | | | | | | | | | | | | | | | | |
% 196.24/31.11 | | | | | | | | | | | | | | | | End of split
% 196.24/31.11 | | | | | | | | | | | | | | | |
% 196.24/31.11 | | | | | | | | | | | | | | | Case 2:
% 196.24/31.11 | | | | | | | | | | | | | | | |
% 196.24/31.11 | | | | | | | | | | | | | | | | (5003) all_54_10 = e0
% 196.24/31.11 | | | | | | | | | | | | | | | |
% 196.24/31.11 | | | | | | | | | | | | | | | | REF_CLOSE: (335), (372), (5003) are inconsistent by sub-proof
% 196.24/31.11 | | | | | | | | | | | | | | | | #1950.
% 196.24/31.11 | | | | | | | | | | | | | | | |
% 196.24/31.11 | | | | | | | | | | | | | | | End of split
% 196.24/31.11 | | | | | | | | | | | | | | |
% 196.24/31.11 | | | | | | | | | | | | | | End of split
% 196.24/31.11 | | | | | | | | | | | | | |
% 196.24/31.11 | | | | | | | | | | | | | End of split
% 196.24/31.11 | | | | | | | | | | | | |
% 196.24/31.11 | | | | | | | | | | | | Case 2:
% 196.24/31.11 | | | | | | | | | | | | |
% 196.24/31.11 | | | | | | | | | | | | | (5004) all_32_2 = e3
% 196.24/31.11 | | | | | | | | | | | | | (5005) op(e3, e1) = all_32_1 & $i(all_32_1) & ( ~
% 196.24/31.11 | | | | | | | | | | | | | (all_32_1 = e0) | ( ~ (all_32_0 = e2) & op(e0,
% 196.24/31.11 | | | | | | | | | | | | | e3) = all_32_0 & $i(all_32_0)))
% 196.24/31.11 | | | | | | | | | | | | |
% 196.24/31.11 | | | | | | | | | | | | | ALPHA: (5005) implies:
% 196.24/31.11 | | | | | | | | | | | | | (5006) op(e3, e1) = all_32_1
% 196.24/31.11 | | | | | | | | | | | | |
% 196.24/31.11 | | | | | | | | | | | | | COMBINE_EQS: (301), (5004) imply:
% 196.24/31.11 | | | | | | | | | | | | | (5007) all_4_2 = e3
% 196.24/31.11 | | | | | | | | | | | | |
% 196.24/31.11 | | | | | | | | | | | | | SIMP: (5007) implies:
% 196.24/31.11 | | | | | | | | | | | | | (5008) all_4_2 = e3
% 196.24/31.11 | | | | | | | | | | | | |
% 196.24/31.11 | | | | | | | | | | | | | COMBINE_EQS: (295), (5008) imply:
% 196.24/31.11 | | | | | | | | | | | | | (5009) all_50_2 = e3
% 196.24/31.11 | | | | | | | | | | | | |
% 196.24/31.11 | | | | | | | | | | | | | REDUCE: (362), (5008) imply:
% 196.24/31.11 | | | | | | | | | | | | | (5010) ~ (all_52_8 = e3)
% 196.24/31.11 | | | | | | | | | | | | |
% 196.24/31.11 | | | | | | | | | | | | | REDUCE: (365), (5008) imply:
% 196.24/31.11 | | | | | | | | | | | | | (5011) ~ (all_52_11 = e3)
% 196.24/31.11 | | | | | | | | | | | | |
% 196.24/31.11 | | | | | | | | | | | | | REDUCE: (367), (5008) imply:
% 196.24/31.11 | | | | | | | | | | | | | (5012) ~ (all_52_14 = e3)
% 196.24/31.11 | | | | | | | | | | | | |
% 196.24/31.11 | | | | | | | | | | | | | REDUCE: (36), (5008) imply:
% 196.24/31.11 | | | | | | | | | | | | | (5013) op(e1, e1) = e3
% 196.24/31.11 | | | | | | | | | | | | |
% 196.24/31.11 | | | | | | | | | | | | | BETA: splitting (106) gives:
% 196.24/31.11 | | | | | | | | | | | | |
% 196.24/31.11 | | | | | | | | | | | | | Case 1:
% 196.24/31.11 | | | | | | | | | | | | | |
% 196.24/31.11 | | | | | | | | | | | | | | (5014) ~ (all_50_2 = e3)
% 196.24/31.11 | | | | | | | | | | | | | |
% 196.24/31.11 | | | | | | | | | | | | | | REDUCE: (5009), (5014) imply:
% 196.24/31.11 | | | | | | | | | | | | | | (5015) $false
% 196.24/31.11 | | | | | | | | | | | | | |
% 196.24/31.11 | | | | | | | | | | | | | | CLOSE: (5015) is inconsistent.
% 196.24/31.11 | | | | | | | | | | | | | |
% 196.24/31.11 | | | | | | | | | | | | | Case 2:
% 196.24/31.11 | | | | | | | | | | | | | |
% 196.24/31.11 | | | | | | | | | | | | | | (5016) op(e3, e1) = all_50_1 & $i(all_50_1) & ( ~
% 196.24/31.11 | | | | | | | | | | | | | | (all_50_1 = e2) | ( ~ (all_50_0 = e0) & op(e2,
% 196.24/31.11 | | | | | | | | | | | | | | e3) = all_50_0 & $i(all_50_0)))
% 196.24/31.11 | | | | | | | | | | | | | |
% 196.24/31.11 | | | | | | | | | | | | | | ALPHA: (5016) implies:
% 196.24/31.11 | | | | | | | | | | | | | | (5017) op(e3, e1) = all_50_1
% 196.24/31.11 | | | | | | | | | | | | | | (5018) ~ (all_50_1 = e2) | ( ~ (all_50_0 = e0) & op(e2,
% 196.24/31.11 | | | | | | | | | | | | | | e3) = all_50_0 & $i(all_50_0))
% 196.24/31.11 | | | | | | | | | | | | | |
% 196.24/31.11 | | | | | | | | | | | | | | BETA: splitting (212) gives:
% 196.24/31.11 | | | | | | | | | | | | | |
% 196.24/31.11 | | | | | | | | | | | | | | Case 1:
% 196.24/31.11 | | | | | | | | | | | | | | |
% 196.24/31.11 | | | | | | | | | | | | | | | (5019) (all_56_9 = e3 & op(e3, e0) = e3) | (all_56_10 =
% 196.24/31.11 | | | | | | | | | | | | | | | e3 & op(e2, e0) = e3)
% 196.24/31.11 | | | | | | | | | | | | | | |
% 196.24/31.11 | | | | | | | | | | | | | | | BETA: splitting (5019) gives:
% 196.24/31.11 | | | | | | | | | | | | | | |
% 196.24/31.11 | | | | | | | | | | | | | | | Case 1:
% 196.24/31.11 | | | | | | | | | | | | | | | |
% 196.24/31.11 | | | | | | | | | | | | | | | | (5020) all_56_9 = e3 & op(e3, e0) = e3
% 196.24/31.11 | | | | | | | | | | | | | | | |
% 196.24/31.11 | | | | | | | | | | | | | | | | BETA: splitting (209) gives:
% 196.24/31.11 | | | | | | | | | | | | | | | |
% 196.24/31.11 | | | | | | | | | | | | | | | | Case 1:
% 196.24/31.11 | | | | | | | | | | | | | | | | |
% 196.24/31.11 | | | | | | | | | | | | | | | | | (5021) (all_56_12 = e3 & op(e0, e3) = e3) | (all_56_13 =
% 196.24/31.11 | | | | | | | | | | | | | | | | | e3 & op(e0, e2) = e3)
% 196.24/31.11 | | | | | | | | | | | | | | | | |
% 196.24/31.11 | | | | | | | | | | | | | | | | | BETA: splitting (5021) gives:
% 196.24/31.11 | | | | | | | | | | | | | | | | |
% 196.24/31.11 | | | | | | | | | | | | | | | | | Case 1:
% 196.24/31.11 | | | | | | | | | | | | | | | | | |
% 196.24/31.11 | | | | | | | | | | | | | | | | | | (5022) all_56_12 = e3 & op(e0, e3) = e3
% 196.24/31.11 | | | | | | | | | | | | | | | | | |
% 196.24/31.11 | | | | | | | | | | | | | | | | | | ALPHA: (5022) implies:
% 196.24/31.11 | | | | | | | | | | | | | | | | | | (5023) all_56_12 = e3
% 196.24/31.11 | | | | | | | | | | | | | | | | | | (5024) op(e0, e3) = e3
% 196.24/31.11 | | | | | | | | | | | | | | | | | |
% 196.24/31.11 | | | | | | | | | | | | | | | | | | ALPHA: (5020) implies:
% 196.24/31.11 | | | | | | | | | | | | | | | | | | (5025) all_56_9 = e3
% 196.24/31.11 | | | | | | | | | | | | | | | | | | (5026) op(e3, e0) = e3
% 196.24/31.11 | | | | | | | | | | | | | | | | | |
% 196.24/31.11 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_3, e3,
% 196.24/31.11 | | | | | | | | | | | | | | | | | | e3, e0, simplifying with (159), (5024) gives:
% 196.24/31.11 | | | | | | | | | | | | | | | | | | (5027) all_52_3 = e3
% 196.24/31.11 | | | | | | | | | | | | | | | | | |
% 196.24/31.11 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_12,
% 196.24/31.11 | | | | | | | | | | | | | | | | | | e3, e0, e3, simplifying with (168), (5026) gives:
% 196.24/31.11 | | | | | | | | | | | | | | | | | | (5028) all_52_12 = e3
% 196.24/31.11 | | | | | | | | | | | | | | | | | |
% 196.24/31.11 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_8,
% 196.24/31.11 | | | | | | | | | | | | | | | | | | all_32_1, e1, e3, simplifying with (169), (5006)
% 196.24/31.11 | | | | | | | | | | | | | | | | | | gives:
% 196.24/31.11 | | | | | | | | | | | | | | | | | | (5029) all_52_8 = all_32_1
% 196.24/31.11 | | | | | | | | | | | | | | | | | |
% 196.24/31.11 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_8,
% 196.24/31.11 | | | | | | | | | | | | | | | | | | all_50_1, e1, e3, simplifying with (169), (5017)
% 196.24/31.11 | | | | | | | | | | | | | | | | | | gives:
% 196.24/31.11 | | | | | | | | | | | | | | | | | | (5030) all_52_8 = all_50_1
% 196.24/31.11 | | | | | | | | | | | | | | | | | |
% 196.24/31.11 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5029), (5030) imply:
% 196.24/31.11 | | | | | | | | | | | | | | | | | | (5031) all_50_1 = all_32_1
% 196.24/31.11 | | | | | | | | | | | | | | | | | |
% 196.24/31.11 | | | | | | | | | | | | | | | | | | SIMP: (5031) implies:
% 196.24/31.11 | | | | | | | | | | | | | | | | | | (5032) all_50_1 = all_32_1
% 196.24/31.11 | | | | | | | | | | | | | | | | | |
% 196.24/31.11 | | | | | | | | | | | | | | | | | | REDUCE: (139), (5027) imply:
% 196.24/31.11 | | | | | | | | | | | | | | | | | | (5033) ~ (all_52_11 = e3)
% 196.24/31.11 | | | | | | | | | | | | | | | | | |
% 196.24/31.11 | | | | | | | | | | | | | | | | | | REDUCE: (4358), (5029) imply:
% 196.24/31.11 | | | | | | | | | | | | | | | | | | (5034) ~ (all_32_1 = e1)
% 196.24/31.11 | | | | | | | | | | | | | | | | | |
% 196.24/31.11 | | | | | | | | | | | | | | | | | | REDUCE: (3917), (5028) imply:
% 196.24/31.11 | | | | | | | | | | | | | | | | | | (5035) ~ (all_16_1 = e3)
% 196.24/31.11 | | | | | | | | | | | | | | | | | |
% 196.24/31.11 | | | | | | | | | | | | | | | | | | BETA: splitting (234) gives:
% 196.24/31.11 | | | | | | | | | | | | | | | | | |
% 196.24/31.11 | | | | | | | | | | | | | | | | | | Case 1:
% 196.24/31.11 | | | | | | | | | | | | | | | | | | |
% 196.24/31.11 | | | | | | | | | | | | | | | | | | | (5036) (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_1 = e2
% 196.24/31.11 | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e2)
% 196.24/31.11 | | | | | | | | | | | | | | | | | | |
% 196.24/31.11 | | | | | | | | | | | | | | | | | | | BETA: splitting (5036) gives:
% 196.24/31.11 | | | | | | | | | | | | | | | | | | |
% 196.24/31.11 | | | | | | | | | | | | | | | | | | | Case 1:
% 196.24/31.11 | | | | | | | | | | | | | | | | | | | |
% 196.24/31.11 | | | | | | | | | | | | | | | | | | | | (5037) all_56_0 = e2 & op(e3, e3) = e2
% 196.24/31.11 | | | | | | | | | | | | | | | | | | | |
% 196.24/31.11 | | | | | | | | | | | | | | | | | | | | ALPHA: (5037) implies:
% 196.24/31.11 | | | | | | | | | | | | | | | | | | | | (5038) op(e3, e3) = e2
% 196.24/31.11 | | | | | | | | | | | | | | | | | | | |
% 196.24/31.11 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (4362), (5038), (function-axioms) are
% 196.24/31.11 | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1966.
% 196.24/31.11 | | | | | | | | | | | | | | | | | | | |
% 196.24/31.11 | | | | | | | | | | | | | | | | | | | Case 2:
% 196.24/31.11 | | | | | | | | | | | | | | | | | | | |
% 196.24/31.11 | | | | | | | | | | | | | | | | | | | | (5039) all_56_1 = e2 & op(e3, e2) = e2
% 196.24/31.11 | | | | | | | | | | | | | | | | | | | |
% 196.24/31.11 | | | | | | | | | | | | | | | | | | | | ALPHA: (5039) implies:
% 196.24/31.11 | | | | | | | | | | | | | | | | | | | | (5040) all_56_1 = e2
% 196.24/31.11 | | | | | | | | | | | | | | | | | | | | (5041) op(e3, e2) = e2
% 196.24/31.11 | | | | | | | | | | | | | | | | | | | |
% 196.24/31.11 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (157), (169), (206),
% 196.24/31.11 | | | | | | | | | | | | | | | | | | | | (213), (215), (218), (219), (220), (222), (225),
% 196.24/31.11 | | | | | | | | | | | | | | | | | | | | (226), (229), (230), (233), (234), (235), (236),
% 196.24/31.11 | | | | | | | | | | | | | | | | | | | | (239), (3900), (4362), (4674), (4679), (5010),
% 196.24/31.11 | | | | | | | | | | | | | | | | | | | | (5011), (5013), (5024), (5025), (5026), (5040),
% 196.24/31.11 | | | | | | | | | | | | | | | | | | | | (5041), (function-axioms) are inconsistent by
% 196.24/31.11 | | | | | | | | | | | | | | | | | | | | sub-proof #1048.
% 196.24/31.11 | | | | | | | | | | | | | | | | | | | |
% 196.24/31.11 | | | | | | | | | | | | | | | | | | | End of split
% 196.24/31.11 | | | | | | | | | | | | | | | | | | |
% 196.24/31.11 | | | | | | | | | | | | | | | | | | Case 2:
% 196.24/31.11 | | | | | | | | | | | | | | | | | | |
% 196.24/31.11 | | | | | | | | | | | | | | | | | | | (5042) (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_9 = e2
% 196.24/31.11 | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e2)
% 196.24/31.11 | | | | | | | | | | | | | | | | | | |
% 196.24/31.11 | | | | | | | | | | | | | | | | | | | BETA: splitting (5042) gives:
% 196.24/31.11 | | | | | | | | | | | | | | | | | | |
% 196.24/31.11 | | | | | | | | | | | | | | | | | | | Case 1:
% 196.24/31.11 | | | | | | | | | | | | | | | | | | | |
% 196.24/31.11 | | | | | | | | | | | | | | | | | | | | (5043) all_56_4 = e2 & op(e3, e1) = e2
% 196.24/31.11 | | | | | | | | | | | | | | | | | | | |
% 196.24/31.11 | | | | | | | | | | | | | | | | | | | | ALPHA: (5043) implies:
% 196.24/31.11 | | | | | | | | | | | | | | | | | | | | (5044) all_56_4 = e2
% 196.24/31.11 | | | | | | | | | | | | | | | | | | | | (5045) op(e3, e1) = e2
% 196.24/31.11 | | | | | | | | | | | | | | | | | | | |
% 196.24/31.11 | | | | | | | | | | | | | | | | | | | | BETA: splitting (230) gives:
% 196.24/31.11 | | | | | | | | | | | | | | | | | | | |
% 196.24/31.11 | | | | | | | | | | | | | | | | | | | | Case 1:
% 196.24/31.11 | | | | | | | | | | | | | | | | | | | | |
% 196.24/31.11 | | | | | | | | | | | | | | | | | | | | | (5046) (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_1 = e0
% 196.24/31.11 | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e0)
% 196.24/31.11 | | | | | | | | | | | | | | | | | | | | |
% 196.24/31.11 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5046) gives:
% 196.24/31.11 | | | | | | | | | | | | | | | | | | | | |
% 196.24/31.11 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 196.24/31.11 | | | | | | | | | | | | | | | | | | | | | |
% 196.24/31.11 | | | | | | | | | | | | | | | | | | | | | | (5047) all_56_0 = e0 & op(e3, e3) = e0
% 196.24/31.11 | | | | | | | | | | | | | | | | | | | | | |
% 196.24/31.11 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5047) implies:
% 196.24/31.11 | | | | | | | | | | | | | | | | | | | | | | (5048) op(e3, e3) = e0
% 196.24/31.11 | | | | | | | | | | | | | | | | | | | | | |
% 196.24/31.11 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (4362), (5048), (function-axioms) are
% 196.24/31.11 | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1834.
% 196.24/31.11 | | | | | | | | | | | | | | | | | | | | | |
% 196.24/31.11 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 196.24/31.11 | | | | | | | | | | | | | | | | | | | | | |
% 196.24/31.11 | | | | | | | | | | | | | | | | | | | | | | (5049) all_56_1 = e0 & op(e3, e2) = e0
% 196.24/31.11 | | | | | | | | | | | | | | | | | | | | | |
% 196.24/31.11 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5049) implies:
% 196.24/31.11 | | | | | | | | | | | | | | | | | | | | | | (5050) op(e3, e2) = e0
% 196.24/31.11 | | | | | | | | | | | | | | | | | | | | | |
% 196.24/31.11 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (227) gives:
% 196.24/31.11 | | | | | | | | | | | | | | | | | | | | | |
% 196.24/31.11 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 196.24/31.11 | | | | | | | | | | | | | | | | | | | | | | |
% 196.24/31.11 | | | | | | | | | | | | | | | | | | | | | | | (5051) (all_56_1 = e2 & op(e3, e2) = e2) | (all_56_3 = e2
% 196.24/31.11 | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e2)
% 196.24/31.11 | | | | | | | | | | | | | | | | | | | | | | |
% 196.24/31.11 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5051) gives:
% 196.24/31.11 | | | | | | | | | | | | | | | | | | | | | | |
% 196.24/31.11 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 196.24/31.11 | | | | | | | | | | | | | | | | | | | | | | | |
% 196.24/31.11 | | | | | | | | | | | | | | | | | | | | | | | | (5052) all_56_1 = e2 & op(e3, e2) = e2
% 196.24/31.11 | | | | | | | | | | | | | | | | | | | | | | | |
% 196.24/31.11 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5052) implies:
% 196.24/31.11 | | | | | | | | | | | | | | | | | | | | | | | | (5053) all_56_1 = e2
% 196.24/31.11 | | | | | | | | | | | | | | | | | | | | | | | | (5054) op(e3, e2) = e2
% 196.24/31.11 | | | | | | | | | | | | | | | | | | | | | | | |
% 196.24/31.11 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (157), (169), (206),
% 196.24/31.11 | | | | | | | | | | | | | | | | | | | | | | | | (213), (215), (218), (219), (220), (222), (225),
% 196.24/31.11 | | | | | | | | | | | | | | | | | | | | | | | | (226), (229), (230), (233), (234), (235), (236),
% 196.24/31.11 | | | | | | | | | | | | | | | | | | | | | | | | (239), (3900), (4362), (4674), (4679), (5010),
% 196.24/31.11 | | | | | | | | | | | | | | | | | | | | | | | | (5011), (5013), (5024), (5025), (5026), (5053),
% 196.24/31.11 | | | | | | | | | | | | | | | | | | | | | | | | (5054), (function-axioms) are inconsistent by
% 196.24/31.11 | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1048.
% 196.24/31.11 | | | | | | | | | | | | | | | | | | | | | | | |
% 196.24/31.11 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 196.24/31.11 | | | | | | | | | | | | | | | | | | | | | | | |
% 196.24/31.11 | | | | | | | | | | | | | | | | | | | | | | | | (5055) all_56_3 = e2 & op(e2, e2) = e2
% 196.24/31.11 | | | | | | | | | | | | | | | | | | | | | | | |
% 196.24/31.11 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5055) implies:
% 196.24/31.11 | | | | | | | | | | | | | | | | | | | | | | | | (5056) op(e2, e2) = e2
% 196.24/31.11 | | | | | | | | | | | | | | | | | | | | | | | |
% 196.24/31.11 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (3900), (5056), (function-axioms) are
% 196.24/31.11 | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1963.
% 196.24/31.11 | | | | | | | | | | | | | | | | | | | | | | | |
% 196.24/31.11 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 196.24/31.11 | | | | | | | | | | | | | | | | | | | | | | |
% 196.24/31.11 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 196.24/31.11 | | | | | | | | | | | | | | | | | | | | | | |
% 196.24/31.11 | | | | | | | | | | | | | | | | | | | | | | | (5057) (all_56_7 = e2 & op(e1, e2) = e2) | (all_56_13 =
% 196.24/31.11 | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e2)
% 196.24/31.11 | | | | | | | | | | | | | | | | | | | | | | |
% 196.24/31.11 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5057) gives:
% 196.24/31.11 | | | | | | | | | | | | | | | | | | | | | | |
% 196.24/31.11 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 196.24/31.11 | | | | | | | | | | | | | | | | | | | | | | | |
% 196.24/31.11 | | | | | | | | | | | | | | | | | | | | | | | | (5058) all_56_7 = e2 & op(e1, e2) = e2
% 196.24/31.11 | | | | | | | | | | | | | | | | | | | | | | | |
% 196.24/31.11 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5058) implies:
% 196.24/31.11 | | | | | | | | | | | | | | | | | | | | | | | | (5059) op(e1, e2) = e2
% 196.24/31.11 | | | | | | | | | | | | | | | | | | | | | | | |
% 196.24/31.11 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (226) gives:
% 196.24/31.11 | | | | | | | | | | | | | | | | | | | | | | | |
% 196.24/31.11 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 196.24/31.11 | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.24/31.11 | | | | | | | | | | | | | | | | | | | | | | | | | (5060) (all_56_1 = e1 & op(e3, e2) = e1) | (all_56_3 = e1
% 196.24/31.11 | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1)
% 196.24/31.11 | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.24/31.11 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5060) gives:
% 196.24/31.11 | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.24/31.11 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 196.24/31.11 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.24/31.12 | | | | | | | | | | | | | | | | | | | | | | | | | | (5061) all_56_1 = e1 & op(e3, e2) = e1
% 196.24/31.12 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.24/31.12 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5061) implies:
% 196.24/31.12 | | | | | | | | | | | | | | | | | | | | | | | | | | (5062) all_56_1 = e1
% 196.24/31.12 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.24/31.12 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (230), (234), (236),
% 196.24/31.12 | | | | | | | | | | | | | | | | | | | | | | | | | | (4362), (5025), (5062), (function-axioms) are
% 196.24/31.12 | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1149.
% 196.24/31.12 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.24/31.12 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 196.24/31.12 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.24/31.12 | | | | | | | | | | | | | | | | | | | | | | | | | | (5063) all_56_3 = e1 & op(e2, e2) = e1
% 196.24/31.12 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.24/31.12 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5063) implies:
% 196.24/31.12 | | | | | | | | | | | | | | | | | | | | | | | | | | (5064) op(e2, e2) = e1
% 196.24/31.12 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.24/31.12 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (3900), (5064), (function-axioms) are
% 196.24/31.12 | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1684.
% 196.24/31.12 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.24/31.12 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 196.24/31.12 | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.24/31.12 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 196.24/31.12 | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.24/31.12 | | | | | | | | | | | | | | | | | | | | | | | | | (5065) (all_56_7 = e1 & op(e1, e2) = e1) | (all_56_13 =
% 196.24/31.12 | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e2) = e1)
% 196.24/31.12 | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.24/31.12 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5065) gives:
% 196.24/31.12 | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.24/31.12 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 196.24/31.12 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.24/31.12 | | | | | | | | | | | | | | | | | | | | | | | | | | (5066) all_56_7 = e1 & op(e1, e2) = e1
% 196.24/31.12 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.24/31.12 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5066) implies:
% 196.24/31.12 | | | | | | | | | | | | | | | | | | | | | | | | | | (5067) op(e1, e2) = e1
% 196.24/31.12 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.24/31.12 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (5059), (5067), (function-axioms) are
% 196.24/31.12 | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1426.
% 196.24/31.12 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.24/31.12 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 196.24/31.12 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.24/31.12 | | | | | | | | | | | | | | | | | | | | | | | | | | (5068) all_56_13 = e1 & op(e0, e2) = e1
% 196.24/31.12 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.24/31.12 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5068) implies:
% 196.24/31.12 | | | | | | | | | | | | | | | | | | | | | | | | | | (5069) op(e0, e2) = e1
% 196.24/31.12 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.24/31.12 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (206) gives:
% 196.24/31.12 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.24/31.12 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 196.24/31.12 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.24/31.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | (5070) all_56_15 = e0 & op(e0, e0) = e0
% 196.24/31.12 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.24/31.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5070) implies:
% 196.24/31.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | (5071) op(e0, e0) = e0
% 196.24/31.12 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.24/31.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (4679), (5071), (function-axioms) are
% 196.24/31.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1869.
% 196.24/31.12 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.24/31.12 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 196.24/31.12 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.24/31.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | (5072) ((all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 =
% 196.24/31.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_56_11 = e0 &
% 196.24/31.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e0)) & ((all_56_12 = e0 & op(e0,
% 196.24/31.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e0) | (all_56_13 = e0 & op(e0, e2) =
% 196.24/31.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) | (all_56_14 = e0 & op(e0, e1) = e0))
% 196.24/31.12 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.24/31.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5072) implies:
% 196.24/31.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | (5073) (all_56_12 = e0 & op(e0, e3) = e0) | (all_56_13 =
% 196.24/31.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0) | (all_56_14 = e0 & op(e0,
% 196.24/31.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0)
% 196.24/31.12 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.24/31.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (218) gives:
% 196.24/31.12 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.24/31.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 196.24/31.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.24/31.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5074) (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_5 = e1
% 196.24/31.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e1)
% 196.24/31.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.24/31.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5074) gives:
% 196.24/31.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.24/31.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 196.24/31.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.24/31.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5075) all_56_4 = e1 & op(e3, e1) = e1
% 196.24/31.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.24/31.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5075) implies:
% 196.24/31.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5076) all_56_4 = e1
% 196.24/31.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.24/31.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (169), (230), (234),
% 196.24/31.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (236), (4362), (5010), (5076), (function-axioms)
% 196.24/31.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1111.
% 196.24/31.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.24/31.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 196.24/31.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.24/31.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5077) all_56_5 = e1 & op(e2, e1) = e1
% 196.24/31.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.24/31.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5077) implies:
% 196.24/31.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5078) op(e2, e1) = e1
% 196.24/31.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.24/31.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (223) gives:
% 196.24/31.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.24/31.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 196.24/31.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.24/31.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5079) (all_56_2 = e2 & op(e2, e3) = e2) | (all_56_3 = e2
% 196.24/31.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e2)
% 196.24/31.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.24/31.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5079) gives:
% 196.24/31.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.24/31.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 196.24/31.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.24/31.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5080) all_56_2 = e2 & op(e2, e3) = e2
% 196.24/31.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.24/31.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5080) implies:
% 196.24/31.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5081) op(e2, e3) = e2
% 196.24/31.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.24/31.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_6, e2,
% 196.24/31.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2, e1, simplifying with (162), (5059) gives:
% 196.24/31.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5082) all_52_6 = e2
% 196.24/31.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.24/31.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_9, e1,
% 196.24/31.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1, e2, simplifying with (165), (5078) gives:
% 196.24/31.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5083) all_52_9 = e1
% 196.24/31.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.24/31.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_1, e2,
% 196.24/31.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3, e2, simplifying with (167), (5081) gives:
% 196.24/31.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5084) all_52_1 = e2
% 196.24/31.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.24/31.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_32_1, e2,
% 196.24/31.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1, e3, simplifying with (5006), (5045) gives:
% 196.24/31.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5085) all_32_1 = e2
% 196.24/31.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.24/31.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_16_1, e0,
% 196.24/31.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2, e3, simplifying with (3892), (5050) gives:
% 196.24/31.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5086) all_16_1 = e0
% 196.24/31.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.24/31.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5032), (5085) imply:
% 196.24/31.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5087) all_50_1 = e2
% 196.24/31.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.24/31.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3919), (5086) imply:
% 196.24/31.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5088) ~ (e3 = e0)
% 196.24/31.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.24/31.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (238) gives:
% 196.24/31.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.24/31.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 196.24/31.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.24/31.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5089) (all_57_3 = e3 & ~ (all_57_1 = e2) & ~ (all_57_8
% 196.24/31.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_10 = e2) & ~ (all_57_12 =
% 196.24/31.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_14 = e0) & op(e3, e3) =
% 196.24/31.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e2) = e3 & op(e2, all_57_9) =
% 196.24/31.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_8 & op(e2, all_57_11) = all_57_10 &
% 196.24/31.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_13) = all_57_12 & op(e2,
% 196.24/31.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15) = all_57_14 & op(e2, e3) = all_57_9
% 196.24/31.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = all_57_11 & op(e2, e1) =
% 196.24/31.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_13 & op(e2, e0) = all_57_15 &
% 196.24/31.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_8) & $i(all_57_9) &
% 196.24/31.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & $i(all_57_11) & $i(all_57_12) &
% 196.24/31.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13) & $i(all_57_14) & $i(all_57_15)) |
% 196.24/31.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_5 = e3 & ~ (all_57_1 = e1) & ~
% 196.24/31.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_16 = e3) & ~ (all_57_18 = e2) & ~
% 196.24/31.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_22 = e0) & op(e3,
% 196.24/31.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_1 & op(e3, e1) = e3 & op(e1,
% 196.24/31.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17) = all_57_16 & op(e1, all_57_19) =
% 196.24/31.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_18 & op(e1, all_57_21) = all_57_20 &
% 196.24/31.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_23) = all_57_22 & op(e1, e3) =
% 196.24/31.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e1, e2) = all_57_19 & op(e1, e1)
% 196.24/31.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_21 & op(e1, e0) = all_57_23 &
% 196.24/31.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_16) & $i(all_57_17) &
% 196.24/31.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_19) & $i(all_57_20) &
% 196.24/31.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_22) & $i(all_57_23)) |
% 196.24/31.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_7 = e3 & ~ (all_57_1 = e0) & ~
% 196.24/31.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 196.24/31.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) & op(e3,
% 196.24/31.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_1 & op(e3, e0) = e3 & op(e0,
% 196.24/31.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25) = all_57_24 & op(e0, all_57_27) =
% 196.24/31.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e0, all_57_29) = all_57_28 &
% 196.24/31.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_31) = all_57_30 & op(e0, e3) =
% 196.24/31.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_27 & op(e0, e1)
% 196.24/31.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_29 & op(e0, e0) = all_57_31 &
% 196.24/31.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_24) & $i(all_57_25) &
% 196.24/31.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_27) & $i(all_57_28) &
% 196.24/31.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29) & $i(all_57_30) & $i(all_57_31)) |
% 196.24/31.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e2 & ~ (all_57_0 = e3) & ~ (all_57_2
% 196.24/31.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2) & ~ (all_57_4 = e1) & ~ (all_57_6 =
% 196.24/31.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_11 = e3) & op(e3, all_57_1) =
% 196.24/31.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_0 & op(e3, all_57_3) = all_57_2 & op(e3,
% 196.24/31.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_5) = all_57_4 & op(e3, all_57_7) =
% 196.24/31.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_6 & op(e3, e3) = all_57_1 & op(e3, e2) =
% 196.24/31.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 & op(e3, e1) = all_57_5 & op(e3, e0) =
% 196.24/31.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7 & op(e2, e3) = e2 & op(e2, e2) =
% 196.24/31.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_11 & $i(all_57_0) & $i(all_57_1) &
% 196.24/31.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_2) & $i(all_57_3) & $i(all_57_4) &
% 196.24/31.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 196.24/31.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11))
% 196.24/31.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.24/31.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5089) gives:
% 196.24/31.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.24/31.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 196.24/31.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.24/31.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5090) (all_57_3 = e3 & ~ (all_57_1 = e2) & ~ (all_57_8
% 196.24/31.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_10 = e2) & ~ (all_57_12 =
% 196.24/31.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_14 = e0) & op(e3, e3) =
% 196.24/31.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e2) = e3 & op(e2, all_57_9) =
% 196.24/31.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_8 & op(e2, all_57_11) = all_57_10 &
% 196.24/31.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_13) = all_57_12 & op(e2,
% 196.24/31.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15) = all_57_14 & op(e2, e3) = all_57_9
% 196.24/31.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = all_57_11 & op(e2, e1) =
% 196.24/31.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_13 & op(e2, e0) = all_57_15 &
% 196.24/31.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_8) & $i(all_57_9) &
% 196.24/31.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & $i(all_57_11) & $i(all_57_12) &
% 196.24/31.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13) & $i(all_57_14) & $i(all_57_15)) |
% 196.24/31.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_5 = e3 & ~ (all_57_1 = e1) & ~
% 196.24/31.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_16 = e3) & ~ (all_57_18 = e2) & ~
% 196.24/31.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_22 = e0) & op(e3,
% 196.24/31.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_1 & op(e3, e1) = e3 & op(e1,
% 196.24/31.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17) = all_57_16 & op(e1, all_57_19) =
% 196.24/31.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_18 & op(e1, all_57_21) = all_57_20 &
% 196.24/31.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_23) = all_57_22 & op(e1, e3) =
% 196.24/31.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e1, e2) = all_57_19 & op(e1, e1)
% 196.24/31.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_21 & op(e1, e0) = all_57_23 &
% 196.24/31.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_16) & $i(all_57_17) &
% 196.24/31.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_19) & $i(all_57_20) &
% 196.24/31.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_22) & $i(all_57_23))
% 196.24/31.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.24/31.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (170), (3896), (4362), (5090), (function-axioms)
% 196.24/31.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1606.
% 196.24/31.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.24/31.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 196.24/31.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.24/31.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5091) (all_57_7 = e3 & ~ (all_57_1 = e0) & ~
% 196.24/31.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 196.24/31.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) & op(e3,
% 196.24/31.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_1 & op(e3, e0) = e3 & op(e0,
% 196.24/31.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25) = all_57_24 & op(e0, all_57_27) =
% 196.24/31.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e0, all_57_29) = all_57_28 &
% 196.24/31.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_31) = all_57_30 & op(e0, e3) =
% 196.24/31.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_27 & op(e0, e1)
% 196.24/31.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_29 & op(e0, e0) = all_57_31 &
% 196.24/31.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_24) & $i(all_57_25) &
% 196.24/31.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_27) & $i(all_57_28) &
% 196.24/31.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29) & $i(all_57_30) & $i(all_57_31)) |
% 196.24/31.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e2 & ~ (all_57_0 = e3) & ~ (all_57_2
% 196.24/31.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2) & ~ (all_57_4 = e1) & ~ (all_57_6 =
% 196.24/31.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_11 = e3) & op(e3, all_57_1) =
% 196.24/31.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_0 & op(e3, all_57_3) = all_57_2 & op(e3,
% 196.24/31.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_5) = all_57_4 & op(e3, all_57_7) =
% 196.24/31.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_6 & op(e3, e3) = all_57_1 & op(e3, e2) =
% 196.24/31.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 & op(e3, e1) = all_57_5 & op(e3, e0) =
% 196.24/31.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7 & op(e2, e3) = e2 & op(e2, e2) =
% 196.24/31.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_11 & $i(all_57_0) & $i(all_57_1) &
% 196.24/31.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_2) & $i(all_57_3) & $i(all_57_4) &
% 196.24/31.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 196.24/31.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11))
% 196.24/31.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.24/31.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (3900), (5024), (5091), (function-axioms) are
% 196.24/31.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1158.
% 196.24/31.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.24/31.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 196.24/31.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.24/31.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 196.24/31.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.24/31.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5092) (all_57_13 = e2 & ~ (all_57_11 = e1) & ~
% 196.24/31.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_16 = e3) & ~ (all_57_18 = e2) & ~
% 196.24/31.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_22 = e0) & op(e2,
% 196.24/31.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_11 & op(e2, e1) = e2 & op(e1,
% 196.24/31.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17) = all_57_16 & op(e1, all_57_19) =
% 196.24/31.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_18 & op(e1, all_57_21) = all_57_20 &
% 196.24/31.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_23) = all_57_22 & op(e1, e3) =
% 196.24/31.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e1, e2) = all_57_19 & op(e1, e1)
% 196.24/31.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_21 & op(e1, e0) = all_57_23 &
% 196.24/31.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_16) & $i(all_57_17) &
% 196.24/31.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_19) & $i(all_57_20) &
% 196.24/31.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_22) & $i(all_57_23)) |
% 196.24/31.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e2 & ~ (all_57_11 = e0) & ~
% 196.24/31.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 196.24/31.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) & op(e2,
% 196.24/31.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_11 & op(e2, e0) = e2 & op(e0,
% 196.24/31.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25) = all_57_24 & op(e0, all_57_27) =
% 196.24/31.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e0, all_57_29) = all_57_28 &
% 196.24/31.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_31) = all_57_30 & op(e0, e3) =
% 196.24/31.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_27 & op(e0, e1)
% 196.24/31.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_29 & op(e0, e0) = all_57_31 &
% 196.24/31.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_24) & $i(all_57_25) &
% 196.24/31.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_27) & $i(all_57_28) &
% 196.24/31.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29) & $i(all_57_30) & $i(all_57_31)) |
% 196.24/31.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_17 = e1 & ~ (all_57_0 = e3) & ~
% 196.24/31.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e2) & ~ (all_57_4 = e1) & ~
% 196.24/31.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_6 = e0) & ~ (all_57_21 = e3) & op(e3,
% 196.24/31.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1) = all_57_0 & op(e3, all_57_3) =
% 196.24/31.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_2 & op(e3, all_57_5) = all_57_4 & op(e3,
% 196.24/31.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7) = all_57_6 & op(e3, e3) = all_57_1 &
% 196.24/31.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_3 & op(e3, e1) = all_57_5 &
% 196.24/31.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_7 & op(e1, e3) = e1 & op(e1,
% 196.24/31.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_21 & $i(all_57_0) & $i(all_57_1)
% 196.24/31.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_2) & $i(all_57_3) & $i(all_57_4) &
% 196.24/31.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 196.24/31.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21)) | (all_57_19 = e1 & ~ (all_57_8
% 196.24/31.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_10 = e2) & ~ (all_57_12 =
% 196.24/31.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_14 = e0) & ~ (all_57_21 =
% 196.24/31.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & op(e2, all_57_9) = all_57_8 & op(e2,
% 196.24/31.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_11) = all_57_10 & op(e2, all_57_13) =
% 196.24/31.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & op(e2, all_57_15) = all_57_14 &
% 196.24/31.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_9 & op(e2, e2) = all_57_11 &
% 196.24/31.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_57_13 & op(e2, e0) = all_57_15
% 196.24/31.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e1 & op(e1, e1) = all_57_21 &
% 196.24/31.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8) & $i(all_57_9) & $i(all_57_10) &
% 196.24/31.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_12) & $i(all_57_13) &
% 196.24/31.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & $i(all_57_15) & $i(all_57_21)) |
% 196.24/31.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (op(e0, e0) = all_57_31 & $i(all_57_31) &
% 196.24/31.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_23 = e1 & ~ (all_57_21 = e0) & ~
% 196.24/31.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 196.24/31.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) &
% 196.24/31.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_21 & op(e1, e0) = e1 &
% 196.24/31.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_25) = all_57_24 & op(e0,
% 196.24/31.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27) = all_57_26 & op(e0, all_57_29)
% 196.24/31.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_28 & op(e0, all_57_31) = all_57_30
% 196.24/31.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e3) = all_57_25 & op(e0, e2) =
% 196.24/31.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27 & op(e0, e1) = all_57_29 &
% 196.24/31.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_24) &
% 196.24/31.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_25) & $i(all_57_26) &
% 196.24/31.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27) & $i(all_57_28) &
% 196.24/31.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29) & $i(all_57_30)) | (all_57_25
% 196.24/31.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & ~ (all_57_0 = e3) & ~ (all_57_2 =
% 196.24/31.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_4 = e1) & ~ (all_57_6 =
% 196.24/31.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_31 = e3) & op(e3,
% 196.24/31.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1) = all_57_0 & op(e3, all_57_3) =
% 196.24/31.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_2 & op(e3, all_57_5) = all_57_4 &
% 196.24/31.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, all_57_7) = all_57_6 & op(e3, e3) =
% 196.24/31.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e2) = all_57_3 & op(e3,
% 196.24/31.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_5 & op(e3, e0) = all_57_7 &
% 196.24/31.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_0) &
% 196.24/31.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_2) & $i(all_57_3) &
% 196.24/31.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4) & $i(all_57_5) & $i(all_57_6) &
% 196.24/31.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7)) | (all_57_27 = e0 & ~
% 196.24/31.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e3) & ~ (all_57_10 = e2) & ~
% 196.24/31.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e1) & ~ (all_57_14 = e0) & ~
% 196.24/31.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e2) & op(e2, all_57_9) =
% 196.24/31.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_8 & op(e2, all_57_11) = all_57_10 &
% 196.24/31.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_13) = all_57_12 & op(e2,
% 196.24/31.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15) = all_57_14 & op(e2, e3) =
% 196.24/31.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_9 & op(e2, e2) = all_57_11 & op(e2,
% 196.24/31.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_13 & op(e2, e0) = all_57_15 &
% 196.24/31.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_8) &
% 196.24/31.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9) & $i(all_57_10) & $i(all_57_11)
% 196.24/31.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_12) & $i(all_57_13) &
% 196.24/31.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & $i(all_57_15)) | (all_57_29
% 196.24/31.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & ~ (all_57_16 = e3) & ~ (all_57_18 =
% 196.24/31.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_20 = e1) & ~ (all_57_22
% 196.24/31.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_31 = e1) & op(e1,
% 196.24/31.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17) = all_57_16 & op(e1, all_57_19)
% 196.24/31.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_18 & op(e1, all_57_21) = all_57_20
% 196.24/31.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, all_57_23) = all_57_22 & op(e1, e3)
% 196.24/31.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_17 & op(e1, e2) = all_57_19 &
% 196.24/31.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_21 & op(e1, e0) =
% 196.24/31.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23 & op(e0, e1) = e0 & $i(all_57_16)
% 196.24/31.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_17) & $i(all_57_18) &
% 196.24/31.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_20) &
% 196.24/31.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_22) &
% 196.24/31.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23))))
% 196.24/31.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.24/31.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5092) gives:
% 196.24/31.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.24/31.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 196.24/31.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.24/31.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5093) (all_57_13 = e2 & ~ (all_57_11 = e1) & ~
% 196.24/31.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_16 = e3) & ~ (all_57_18 = e2) & ~
% 196.24/31.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_22 = e0) & op(e2,
% 196.24/31.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_11 & op(e2, e1) = e2 & op(e1,
% 196.24/31.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17) = all_57_16 & op(e1, all_57_19) =
% 196.24/31.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_18 & op(e1, all_57_21) = all_57_20 &
% 196.24/31.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_23) = all_57_22 & op(e1, e3) =
% 196.24/31.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e1, e2) = all_57_19 & op(e1, e1)
% 196.24/31.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_21 & op(e1, e0) = all_57_23 &
% 196.24/31.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_16) & $i(all_57_17) &
% 196.24/31.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_19) & $i(all_57_20) &
% 196.24/31.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_22) & $i(all_57_23)) |
% 196.24/31.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e2 & ~ (all_57_11 = e0) & ~
% 196.24/31.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 196.24/31.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) & op(e2,
% 196.24/31.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_11 & op(e2, e0) = e2 & op(e0,
% 196.24/31.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25) = all_57_24 & op(e0, all_57_27) =
% 196.24/31.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e0, all_57_29) = all_57_28 &
% 196.24/31.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_31) = all_57_30 & op(e0, e3) =
% 196.24/31.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_27 & op(e0, e1)
% 196.24/31.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_29 & op(e0, e0) = all_57_31 &
% 196.24/31.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_24) & $i(all_57_25) &
% 196.24/31.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_27) & $i(all_57_28) &
% 196.24/31.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29) & $i(all_57_30) & $i(all_57_31))
% 196.24/31.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.24/31.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (5024), (5078), (5093), (function-axioms) are
% 196.24/31.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1104.
% 196.24/31.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.24/31.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 196.24/31.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.24/31.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5094) (all_57_17 = e1 & ~ (all_57_0 = e3) & ~
% 196.24/31.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e2) & ~ (all_57_4 = e1) & ~
% 196.24/31.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_6 = e0) & ~ (all_57_21 = e3) & op(e3,
% 196.24/31.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1) = all_57_0 & op(e3, all_57_3) =
% 196.24/31.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_2 & op(e3, all_57_5) = all_57_4 & op(e3,
% 196.24/31.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7) = all_57_6 & op(e3, e3) = all_57_1 &
% 196.24/31.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_3 & op(e3, e1) = all_57_5 &
% 196.24/31.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_7 & op(e1, e3) = e1 & op(e1,
% 196.24/31.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_21 & $i(all_57_0) & $i(all_57_1)
% 196.24/31.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_2) & $i(all_57_3) & $i(all_57_4) &
% 196.24/31.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 196.24/31.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21)) | (all_57_19 = e1 & ~ (all_57_8
% 196.24/31.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_10 = e2) & ~ (all_57_12 =
% 196.24/31.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_14 = e0) & ~ (all_57_21 =
% 196.24/31.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & op(e2, all_57_9) = all_57_8 & op(e2,
% 196.24/31.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_11) = all_57_10 & op(e2, all_57_13) =
% 196.24/31.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & op(e2, all_57_15) = all_57_14 &
% 196.24/31.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_9 & op(e2, e2) = all_57_11 &
% 196.24/31.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_57_13 & op(e2, e0) = all_57_15
% 196.24/31.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e1 & op(e1, e1) = all_57_21 &
% 196.24/31.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8) & $i(all_57_9) & $i(all_57_10) &
% 196.24/31.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_12) & $i(all_57_13) &
% 196.24/31.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & $i(all_57_15) & $i(all_57_21)) |
% 196.24/31.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (op(e0, e0) = all_57_31 & $i(all_57_31) &
% 196.24/31.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_23 = e1 & ~ (all_57_21 = e0) & ~
% 196.24/31.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 196.24/31.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) &
% 196.24/31.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_21 & op(e1, e0) = e1 &
% 196.24/31.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_25) = all_57_24 & op(e0,
% 196.24/31.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27) = all_57_26 & op(e0, all_57_29)
% 196.24/31.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_28 & op(e0, all_57_31) = all_57_30
% 196.24/31.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e3) = all_57_25 & op(e0, e2) =
% 196.24/31.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27 & op(e0, e1) = all_57_29 &
% 196.24/31.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_24) &
% 196.24/31.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_25) & $i(all_57_26) &
% 196.24/31.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27) & $i(all_57_28) &
% 196.24/31.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29) & $i(all_57_30)) | (all_57_25
% 196.24/31.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & ~ (all_57_0 = e3) & ~ (all_57_2 =
% 196.24/31.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_4 = e1) & ~ (all_57_6 =
% 196.24/31.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_31 = e3) & op(e3,
% 196.24/31.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1) = all_57_0 & op(e3, all_57_3) =
% 196.24/31.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_2 & op(e3, all_57_5) = all_57_4 &
% 196.24/31.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, all_57_7) = all_57_6 & op(e3, e3) =
% 196.24/31.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e2) = all_57_3 & op(e3,
% 196.24/31.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_5 & op(e3, e0) = all_57_7 &
% 196.24/31.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_0) &
% 196.24/31.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_2) & $i(all_57_3) &
% 196.24/31.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4) & $i(all_57_5) & $i(all_57_6) &
% 196.24/31.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7)) | (all_57_27 = e0 & ~
% 196.24/31.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e3) & ~ (all_57_10 = e2) & ~
% 196.24/31.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e1) & ~ (all_57_14 = e0) & ~
% 196.24/31.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e2) & op(e2, all_57_9) =
% 196.24/31.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_8 & op(e2, all_57_11) = all_57_10 &
% 196.24/31.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_13) = all_57_12 & op(e2,
% 196.24/31.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15) = all_57_14 & op(e2, e3) =
% 196.24/31.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_9 & op(e2, e2) = all_57_11 & op(e2,
% 196.24/31.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_13 & op(e2, e0) = all_57_15 &
% 196.24/31.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_8) &
% 196.24/31.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9) & $i(all_57_10) & $i(all_57_11)
% 196.24/31.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_12) & $i(all_57_13) &
% 196.24/31.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & $i(all_57_15)) | (all_57_29
% 196.24/31.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & ~ (all_57_16 = e3) & ~ (all_57_18 =
% 196.24/31.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_20 = e1) & ~ (all_57_22
% 196.24/31.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_31 = e1) & op(e1,
% 196.24/31.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17) = all_57_16 & op(e1, all_57_19)
% 196.24/31.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_18 & op(e1, all_57_21) = all_57_20
% 196.24/31.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, all_57_23) = all_57_22 & op(e1, e3)
% 196.24/31.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_17 & op(e1, e2) = all_57_19 &
% 196.24/31.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_21 & op(e1, e0) =
% 196.24/31.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23 & op(e0, e1) = e0 & $i(all_57_16)
% 196.24/31.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_17) & $i(all_57_18) &
% 196.24/31.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_20) &
% 196.24/31.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_22) &
% 196.24/31.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23))))
% 196.24/31.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.24/31.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5094) gives:
% 196.24/31.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.24/31.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 196.24/31.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.24/31.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5095) all_57_17 = e1 & ~ (all_57_0 = e3) & ~ (all_57_2
% 196.24/31.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2) & ~ (all_57_4 = e1) & ~ (all_57_6 = e0)
% 196.24/31.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_21 = e3) & op(e3, all_57_1) =
% 196.24/31.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_0 & op(e3, all_57_3) = all_57_2 & op(e3,
% 196.24/31.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_5) = all_57_4 & op(e3, all_57_7) =
% 196.24/31.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_6 & op(e3, e3) = all_57_1 & op(e3, e2) =
% 196.24/31.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 & op(e3, e1) = all_57_5 & op(e3, e0) =
% 196.24/31.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7 & op(e1, e3) = e1 & op(e1, e1) =
% 196.24/31.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_21 & $i(all_57_0) & $i(all_57_1) &
% 196.24/31.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_2) & $i(all_57_3) & $i(all_57_4) &
% 196.24/31.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 196.24/31.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21)
% 196.24/31.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.24/31.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5095) implies:
% 196.24/31.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5096) op(e1, e3) = e1
% 196.24/31.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.24/31.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (163), (4357), (4366), (5096), (function-axioms)
% 196.24/31.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1750.
% 196.24/31.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.24/31.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 196.24/31.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.24/31.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5097) (all_57_19 = e1 & ~ (all_57_8 = e3) & ~
% 196.24/31.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e2) & ~ (all_57_12 = e1) & ~
% 196.24/31.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e0) & ~ (all_57_21 = e2) & op(e2,
% 196.24/31.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_9) = all_57_8 & op(e2, all_57_11) =
% 196.24/31.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e2, all_57_13) = all_57_12 &
% 196.24/31.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_15) = all_57_14 & op(e2, e3) =
% 196.24/31.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_9 & op(e2, e2) = all_57_11 & op(e2, e1) =
% 196.24/31.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_13 & op(e2, e0) = all_57_15 & op(e1, e2)
% 196.24/31.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & op(e1, e1) = all_57_21 & $i(all_57_8) &
% 196.24/31.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9) & $i(all_57_10) & $i(all_57_11) &
% 196.24/31.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & $i(all_57_13) & $i(all_57_14) &
% 196.24/31.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & $i(all_57_21)) | (op(e0, e0) =
% 196.24/31.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_31 & $i(all_57_31) & ((all_57_23 = e1 &
% 196.24/31.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_21 = e0) & ~ (all_57_24 = e3) &
% 196.24/31.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_26 = e2) & ~ (all_57_28 = e1) &
% 196.24/31.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_30 = e0) & op(e1, e1) = all_57_21
% 196.24/31.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e0) = e1 & op(e0, all_57_25) =
% 196.24/31.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_24 & op(e0, all_57_27) = all_57_26 &
% 196.24/31.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_29) = all_57_28 & op(e0,
% 196.24/31.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_31) = all_57_30 & op(e0, e3) =
% 196.24/31.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_27 & op(e0,
% 196.24/31.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_29 & $i(all_57_21) &
% 196.24/31.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_24) & $i(all_57_25) &
% 196.24/31.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_27) &
% 196.24/31.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28) & $i(all_57_29) &
% 196.24/31.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_25 = e0 & ~
% 196.24/31.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_0 = e3) & ~ (all_57_2 = e2) & ~
% 196.24/31.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1) & ~ (all_57_6 = e0) & ~
% 196.24/31.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e3) & op(e3, all_57_1) =
% 196.24/31.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_0 & op(e3, all_57_3) = all_57_2 &
% 196.24/31.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, all_57_5) = all_57_4 & op(e3,
% 196.24/31.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7) = all_57_6 & op(e3, e3) =
% 196.24/31.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e2) = all_57_3 & op(e3,
% 196.24/31.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_5 & op(e3, e0) = all_57_7 &
% 196.24/31.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_0) &
% 196.24/31.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_2) & $i(all_57_3) &
% 196.24/31.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4) & $i(all_57_5) & $i(all_57_6) &
% 196.24/31.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7)) | (all_57_27 = e0 & ~
% 196.24/31.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e3) & ~ (all_57_10 = e2) & ~
% 196.24/31.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e1) & ~ (all_57_14 = e0) & ~
% 196.24/31.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e2) & op(e2, all_57_9) =
% 196.24/31.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_8 & op(e2, all_57_11) = all_57_10 &
% 196.24/31.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_13) = all_57_12 & op(e2,
% 196.24/31.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15) = all_57_14 & op(e2, e3) =
% 196.24/31.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_9 & op(e2, e2) = all_57_11 & op(e2,
% 196.24/31.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_13 & op(e2, e0) = all_57_15 &
% 196.24/31.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_8) &
% 196.24/31.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9) & $i(all_57_10) & $i(all_57_11)
% 196.24/31.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_12) & $i(all_57_13) &
% 196.24/31.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & $i(all_57_15)) | (all_57_29
% 196.24/31.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & ~ (all_57_16 = e3) & ~ (all_57_18 =
% 196.24/31.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_20 = e1) & ~ (all_57_22
% 196.24/31.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_31 = e1) & op(e1,
% 196.24/31.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17) = all_57_16 & op(e1, all_57_19)
% 196.24/31.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_18 & op(e1, all_57_21) = all_57_20
% 196.24/31.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, all_57_23) = all_57_22 & op(e1, e3)
% 196.24/31.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_17 & op(e1, e2) = all_57_19 &
% 196.24/31.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_21 & op(e1, e0) =
% 196.24/31.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23 & op(e0, e1) = e0 & $i(all_57_16)
% 196.24/31.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_17) & $i(all_57_18) &
% 196.24/31.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_20) &
% 196.24/31.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_22) &
% 196.24/31.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23))))
% 196.24/31.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.24/31.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5097) gives:
% 196.24/31.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.24/31.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 196.24/31.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.24/31.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5098) all_57_19 = e1 & ~ (all_57_8 = e3) & ~
% 196.24/31.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e2) & ~ (all_57_12 = e1) & ~
% 196.24/31.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e0) & ~ (all_57_21 = e2) & op(e2,
% 196.24/31.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_9) = all_57_8 & op(e2, all_57_11) =
% 196.24/31.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e2, all_57_13) = all_57_12 & op(e2,
% 196.24/31.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15) = all_57_14 & op(e2, e3) = all_57_9 &
% 196.24/31.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_11 & op(e2, e1) = all_57_13 &
% 196.24/31.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_15 & op(e1, e2) = e1 & op(e1,
% 196.24/31.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_21 & $i(all_57_8) & $i(all_57_9) &
% 196.24/31.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & $i(all_57_11) & $i(all_57_12) &
% 196.24/31.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13) & $i(all_57_14) & $i(all_57_15) &
% 196.24/31.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21)
% 196.24/31.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.24/31.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (3900), (5018), (5081), (5087), (5098),
% 196.24/31.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 196.24/31.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1098.
% 196.24/31.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.24/31.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 196.24/31.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.24/31.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5099) op(e0, e0) = all_57_31 & $i(all_57_31) &
% 196.24/31.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_23 = e1 & ~ (all_57_21 = e0) & ~
% 196.24/31.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 196.24/31.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) &
% 196.24/31.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_21 & op(e1, e0) = e1 &
% 196.24/31.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_25) = all_57_24 & op(e0,
% 196.24/31.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27) = all_57_26 & op(e0, all_57_29) =
% 196.24/31.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_28 & op(e0, all_57_31) = all_57_30 &
% 196.24/31.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_25 & op(e0, e2) =
% 196.24/31.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27 & op(e0, e1) = all_57_29 &
% 196.24/31.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_24) & $i(all_57_25)
% 196.24/31.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_26) & $i(all_57_27) &
% 196.24/31.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28) & $i(all_57_29) & $i(all_57_30))
% 196.24/31.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_25 = e0 & ~ (all_57_0 = e3) & ~
% 196.24/31.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e2) & ~ (all_57_4 = e1) & ~
% 196.24/31.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_6 = e0) & ~ (all_57_31 = e3) & op(e3,
% 196.24/31.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1) = all_57_0 & op(e3, all_57_3) =
% 196.24/31.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_2 & op(e3, all_57_5) = all_57_4 &
% 196.24/31.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, all_57_7) = all_57_6 & op(e3, e3) =
% 196.24/31.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e2) = all_57_3 & op(e3, e1)
% 196.24/31.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_5 & op(e3, e0) = all_57_7 & op(e0,
% 196.24/31.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e0 & $i(all_57_0) & $i(all_57_1) &
% 196.24/31.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_2) & $i(all_57_3) & $i(all_57_4) &
% 196.24/31.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_6) & $i(all_57_7)) |
% 196.24/31.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_27 = e0 & ~ (all_57_8 = e3) & ~
% 196.24/31.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e2) & ~ (all_57_12 = e1) & ~
% 196.24/31.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e0) & ~ (all_57_31 = e2) &
% 196.24/31.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_9) = all_57_8 & op(e2,
% 196.24/31.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_11) = all_57_10 & op(e2, all_57_13) =
% 196.24/31.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & op(e2, all_57_15) = all_57_14 &
% 196.24/31.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_9 & op(e2, e2) = all_57_11
% 196.24/31.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = all_57_13 & op(e2, e0) =
% 196.24/31.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15 & op(e0, e2) = e0 & $i(all_57_8) &
% 196.24/31.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9) & $i(all_57_10) & $i(all_57_11) &
% 196.24/31.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & $i(all_57_13) & $i(all_57_14)
% 196.24/31.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_15)) | (all_57_29 = e0 & ~
% 196.24/31.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_16 = e3) & ~ (all_57_18 = e2) & ~
% 196.24/31.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_22 = e0) & ~
% 196.24/31.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e1) & op(e1, all_57_17) =
% 196.24/31.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_16 & op(e1, all_57_19) = all_57_18 &
% 196.24/31.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_21) = all_57_20 & op(e1,
% 196.24/31.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23) = all_57_22 & op(e1, e3) =
% 196.24/31.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e1, e2) = all_57_19 & op(e1,
% 196.24/31.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_21 & op(e1, e0) = all_57_23 &
% 196.24/31.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_16) &
% 196.24/31.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_17) & $i(all_57_18) & $i(all_57_19)
% 196.24/31.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_20) & $i(all_57_21) &
% 196.24/31.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_23)))
% 196.24/31.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.24/31.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5099) implies:
% 196.24/31.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5100) op(e0, e0) = all_57_31
% 196.24/31.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5101) (all_57_23 = e1 & ~ (all_57_21 = e0) & ~
% 196.24/31.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 196.24/31.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) & op(e1,
% 196.24/31.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_21 & op(e1, e0) = e1 & op(e0,
% 196.24/31.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25) = all_57_24 & op(e0, all_57_27) =
% 196.24/31.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e0, all_57_29) = all_57_28 &
% 196.24/31.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_31) = all_57_30 & op(e0, e3) =
% 196.24/31.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_27 & op(e0, e1)
% 196.24/31.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_29 & $i(all_57_21) & $i(all_57_24) &
% 196.24/31.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_25) & $i(all_57_26) & $i(all_57_27) &
% 196.24/31.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28) & $i(all_57_29) & $i(all_57_30)) |
% 196.24/31.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_25 = e0 & ~ (all_57_0 = e3) & ~
% 196.24/31.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e2) & ~ (all_57_4 = e1) & ~
% 196.24/31.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_6 = e0) & ~ (all_57_31 = e3) & op(e3,
% 196.24/31.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1) = all_57_0 & op(e3, all_57_3) =
% 196.24/31.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_2 & op(e3, all_57_5) = all_57_4 & op(e3,
% 196.24/31.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7) = all_57_6 & op(e3, e3) = all_57_1 &
% 196.24/31.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_3 & op(e3, e1) = all_57_5 &
% 196.24/31.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_7 & op(e0, e3) = e0 &
% 196.24/31.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_0) & $i(all_57_1) & $i(all_57_2) &
% 196.24/31.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_3) & $i(all_57_4) & $i(all_57_5) &
% 196.24/31.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_6) & $i(all_57_7)) | (all_57_27 = e0 &
% 196.24/31.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_8 = e3) & ~ (all_57_10 = e2) & ~
% 196.24/31.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e1) & ~ (all_57_14 = e0) & ~
% 196.24/31.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e2) & op(e2, all_57_9) = all_57_8 &
% 196.24/31.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_11) = all_57_10 & op(e2,
% 196.24/31.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_13) = all_57_12 & op(e2, all_57_15) =
% 196.24/31.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_14 & op(e2, e3) = all_57_9 & op(e2, e2) =
% 196.24/31.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_11 & op(e2, e1) = all_57_13 & op(e2, e0)
% 196.24/31.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_15 & op(e0, e2) = e0 & $i(all_57_8) &
% 196.24/31.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9) & $i(all_57_10) & $i(all_57_11) &
% 196.24/31.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & $i(all_57_13) & $i(all_57_14) &
% 196.24/31.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15)) | (all_57_29 = e0 & ~ (all_57_16
% 196.24/31.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_18 = e2) & ~ (all_57_20 =
% 196.24/31.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_22 = e0) & ~ (all_57_31 =
% 196.24/31.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & op(e1, all_57_17) = all_57_16 & op(e1,
% 196.24/31.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_19) = all_57_18 & op(e1, all_57_21) =
% 196.24/31.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20 & op(e1, all_57_23) = all_57_22 &
% 196.24/31.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_17 & op(e1, e2) = all_57_19
% 196.24/31.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = all_57_21 & op(e1, e0) =
% 196.24/31.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23 & op(e0, e1) = e0 & $i(all_57_16) &
% 196.24/31.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_17) & $i(all_57_18) & $i(all_57_19) &
% 196.24/31.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_20) & $i(all_57_21) & $i(all_57_22) &
% 196.24/31.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23))
% 196.24/31.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.24/31.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (4679), (5024), (5059), (5100), (5101),
% 196.24/31.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 196.24/31.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1047.
% 196.24/31.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.24/31.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 196.24/31.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.24/31.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 196.24/31.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.24/31.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 196.24/31.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.24/31.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 196.24/31.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.24/31.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 196.24/31.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.24/31.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5102) all_56_3 = e2 & op(e2, e2) = e2
% 196.24/31.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.24/31.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5102) implies:
% 196.24/31.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5103) op(e2, e2) = e2
% 196.24/31.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.24/31.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (3900), (5103), (function-axioms) are
% 196.24/31.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1963.
% 196.24/31.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.24/31.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 196.24/31.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.24/31.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 196.24/31.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.24/31.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5104) (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_10 =
% 196.24/31.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2)
% 196.24/31.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.24/31.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5104) gives:
% 196.24/31.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.24/31.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 196.24/31.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.24/31.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5105) all_56_5 = e2 & op(e2, e1) = e2
% 196.24/31.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.24/31.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5105) implies:
% 196.24/31.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5106) op(e2, e1) = e2
% 196.24/31.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.24/31.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (5078), (5106), (function-axioms) are
% 196.24/31.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1105.
% 196.24/31.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.24/31.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 196.24/31.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.24/31.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5107) all_56_10 = e2 & op(e2, e0) = e2
% 196.24/31.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.24/31.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5107) implies:
% 196.24/31.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5108) op(e2, e0) = e2
% 196.24/31.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.24/31.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (4676), (5108), (function-axioms) are
% 196.24/31.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1941.
% 196.24/31.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.24/31.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 196.24/31.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.24/31.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 196.24/31.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.24/31.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 196.24/31.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.24/31.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 196.24/31.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.24/31.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5109) (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_14 =
% 196.24/31.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e1) = e1)
% 196.24/31.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.24/31.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5109) gives:
% 196.24/31.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.24/31.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 196.24/31.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.24/31.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5110) all_56_8 = e1 & op(e1, e1) = e1
% 196.24/31.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.24/31.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5110) implies:
% 196.24/31.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5111) op(e1, e1) = e1
% 196.24/31.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.24/31.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (7), (8), (165), (169), (220), (3898),
% 196.24/31.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5010), (5023), (5069), (5073), (5111),
% 196.24/31.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 196.24/31.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1044.
% 196.24/31.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.24/31.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 196.24/31.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.24/31.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5112) all_56_14 = e1 & op(e0, e1) = e1
% 196.24/31.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.24/31.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5112) implies:
% 196.24/31.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5113) all_56_14 = e1
% 196.24/31.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.24/31.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (7), (5024), (5069), (5073), (5113),
% 196.24/31.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 196.24/31.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1050.
% 196.24/31.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.24/31.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 196.24/31.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.24/31.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 196.24/31.13 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.24/31.13 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 196.24/31.13 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.24/31.13 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 196.24/31.13 | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.24/31.13 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 196.24/31.13 | | | | | | | | | | | | | | | | | | | | | | | |
% 196.24/31.13 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 196.24/31.13 | | | | | | | | | | | | | | | | | | | | | | | |
% 196.24/31.13 | | | | | | | | | | | | | | | | | | | | | | | | (5114) all_56_13 = e2 & op(e0, e2) = e2
% 196.24/31.13 | | | | | | | | | | | | | | | | | | | | | | | |
% 196.24/31.13 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (158), (4673), (5114), (function-axioms) are
% 196.24/31.13 | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1969.
% 196.24/31.13 | | | | | | | | | | | | | | | | | | | | | | | |
% 196.24/31.13 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 196.24/31.13 | | | | | | | | | | | | | | | | | | | | | | |
% 196.24/31.13 | | | | | | | | | | | | | | | | | | | | | | End of split
% 196.24/31.13 | | | | | | | | | | | | | | | | | | | | | |
% 196.24/31.13 | | | | | | | | | | | | | | | | | | | | | End of split
% 196.24/31.13 | | | | | | | | | | | | | | | | | | | | |
% 196.24/31.13 | | | | | | | | | | | | | | | | | | | | Case 2:
% 196.24/31.13 | | | | | | | | | | | | | | | | | | | | |
% 196.24/31.13 | | | | | | | | | | | | | | | | | | | | | (5115) (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_9 = e0
% 196.24/31.13 | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e0)
% 196.24/31.13 | | | | | | | | | | | | | | | | | | | | |
% 196.24/31.13 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5115) gives:
% 196.24/31.13 | | | | | | | | | | | | | | | | | | | | |
% 196.24/31.13 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 196.24/31.13 | | | | | | | | | | | | | | | | | | | | | |
% 196.24/31.13 | | | | | | | | | | | | | | | | | | | | | | (5116) all_56_4 = e0 & op(e3, e1) = e0
% 196.24/31.13 | | | | | | | | | | | | | | | | | | | | | |
% 196.24/31.13 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5116) implies:
% 196.24/31.13 | | | | | | | | | | | | | | | | | | | | | | (5117) all_56_4 = e0
% 196.24/31.13 | | | | | | | | | | | | | | | | | | | | | |
% 196.24/31.13 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (5044), (5117) are inconsistent by sub-proof
% 196.24/31.13 | | | | | | | | | | | | | | | | | | | | | | #1556.
% 196.24/31.13 | | | | | | | | | | | | | | | | | | | | | |
% 196.24/31.13 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 196.24/31.13 | | | | | | | | | | | | | | | | | | | | | |
% 196.24/31.13 | | | | | | | | | | | | | | | | | | | | | | (5118) all_56_9 = e0 & op(e3, e0) = e0
% 196.24/31.13 | | | | | | | | | | | | | | | | | | | | | |
% 196.24/31.13 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (5025), (5118) are inconsistent by sub-proof
% 196.24/31.13 | | | | | | | | | | | | | | | | | | | | | | #1672.
% 196.24/31.13 | | | | | | | | | | | | | | | | | | | | | |
% 196.24/31.13 | | | | | | | | | | | | | | | | | | | | | End of split
% 196.24/31.13 | | | | | | | | | | | | | | | | | | | | |
% 196.24/31.13 | | | | | | | | | | | | | | | | | | | | End of split
% 196.24/31.13 | | | | | | | | | | | | | | | | | | | |
% 196.24/31.13 | | | | | | | | | | | | | | | | | | | Case 2:
% 196.24/31.13 | | | | | | | | | | | | | | | | | | | |
% 196.24/31.13 | | | | | | | | | | | | | | | | | | | | (5119) all_56_9 = e2 & op(e3, e0) = e2
% 196.24/31.13 | | | | | | | | | | | | | | | | | | | |
% 196.24/31.13 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (168), (4675), (5119), (function-axioms) are
% 196.24/31.13 | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1760.
% 196.24/31.13 | | | | | | | | | | | | | | | | | | | |
% 196.24/31.13 | | | | | | | | | | | | | | | | | | | End of split
% 196.24/31.13 | | | | | | | | | | | | | | | | | | |
% 196.24/31.13 | | | | | | | | | | | | | | | | | | End of split
% 196.24/31.13 | | | | | | | | | | | | | | | | | |
% 196.24/31.13 | | | | | | | | | | | | | | | | | Case 2:
% 196.24/31.13 | | | | | | | | | | | | | | | | | |
% 196.24/31.13 | | | | | | | | | | | | | | | | | | (5120) all_56_13 = e3 & op(e0, e2) = e3
% 196.24/31.13 | | | | | | | | | | | | | | | | | |
% 196.24/31.13 | | | | | | | | | | | | | | | | | | ALPHA: (5120) implies:
% 196.24/31.13 | | | | | | | | | | | | | | | | | | (5121) all_56_13 = e3
% 196.24/31.13 | | | | | | | | | | | | | | | | | |
% 196.24/31.13 | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (225), (226), (227),
% 196.24/31.13 | | | | | | | | | | | | | | | | | | (3900), (5121), (function-axioms) are inconsistent
% 196.24/31.13 | | | | | | | | | | | | | | | | | | by sub-proof #1660.
% 196.24/31.13 | | | | | | | | | | | | | | | | | |
% 196.24/31.13 | | | | | | | | | | | | | | | | | End of split
% 196.24/31.13 | | | | | | | | | | | | | | | | |
% 196.24/31.13 | | | | | | | | | | | | | | | | Case 2:
% 196.24/31.13 | | | | | | | | | | | | | | | | |
% 196.24/31.13 | | | | | | | | | | | | | | | | | (5122) (all_56_14 = e3 & op(e0, e1) = e3) | (all_56_15 =
% 196.24/31.13 | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = e3)
% 196.24/31.13 | | | | | | | | | | | | | | | | |
% 196.24/31.13 | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (157), (4679), (5011), (5122),
% 196.24/31.13 | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 196.24/31.13 | | | | | | | | | | | | | | | | | #1837.
% 196.24/31.13 | | | | | | | | | | | | | | | | |
% 196.24/31.13 | | | | | | | | | | | | | | | | End of split
% 196.24/31.13 | | | | | | | | | | | | | | | |
% 196.24/31.13 | | | | | | | | | | | | | | | Case 2:
% 196.24/31.13 | | | | | | | | | | | | | | | |
% 196.24/31.13 | | | | | | | | | | | | | | | | (5123) all_56_10 = e3 & op(e2, e0) = e3
% 196.24/31.13 | | | | | | | | | | | | | | | |
% 196.24/31.13 | | | | | | | | | | | | | | | | ALPHA: (5123) implies:
% 196.24/31.13 | | | | | | | | | | | | | | | | (5124) op(e2, e0) = e3
% 196.24/31.13 | | | | | | | | | | | | | | | |
% 196.24/31.13 | | | | | | | | | | | | | | | | REF_CLOSE: (164), (3899), (5124), (function-axioms) are
% 196.24/31.13 | | | | | | | | | | | | | | | | inconsistent by sub-proof #1659.
% 196.24/31.13 | | | | | | | | | | | | | | | |
% 196.24/31.13 | | | | | | | | | | | | | | | End of split
% 196.24/31.13 | | | | | | | | | | | | | | |
% 196.24/31.13 | | | | | | | | | | | | | | Case 2:
% 196.24/31.13 | | | | | | | | | | | | | | |
% 196.24/31.13 | | | | | | | | | | | | | | | (5125) (all_56_11 = e3 & op(e1, e0) = e3) | (all_56_15 =
% 196.24/31.13 | | | | | | | | | | | | | | | e3 & op(e0, e0) = e3)
% 196.24/31.13 | | | | | | | | | | | | | | |
% 196.24/31.13 | | | | | | | | | | | | | | | REF_CLOSE: (9), (160), (4679), (5012), (5125),
% 196.24/31.13 | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 196.24/31.13 | | | | | | | | | | | | | | | #1761.
% 196.24/31.13 | | | | | | | | | | | | | | |
% 196.24/31.13 | | | | | | | | | | | | | | End of split
% 196.24/31.13 | | | | | | | | | | | | | |
% 196.24/31.13 | | | | | | | | | | | | | End of split
% 196.24/31.13 | | | | | | | | | | | | |
% 196.24/31.13 | | | | | | | | | | | | End of split
% 196.24/31.13 | | | | | | | | | | | |
% 196.24/31.13 | | | | | | | | | | | End of split
% 196.24/31.13 | | | | | | | | | | |
% 196.24/31.13 | | | | | | | | | | End of split
% 196.24/31.13 | | | | | | | | | |
% 196.24/31.13 | | | | | | | | | End of split
% 196.24/31.13 | | | | | | | | |
% 196.24/31.13 | | | | | | | | End of split
% 196.24/31.13 | | | | | | | |
% 196.24/31.13 | | | | | | | End of split
% 196.24/31.13 | | | | | | |
% 196.24/31.13 | | | | | | End of split
% 196.24/31.13 | | | | | |
% 196.24/31.13 | | | | | Case 2:
% 196.24/31.13 | | | | | |
% 196.24/31.13 | | | | | | (5126) all_14_2 = e2
% 196.24/31.13 | | | | | | (5127) op(e2, e3) = all_14_1 & $i(all_14_1) & ( ~ (all_14_1 = e1)
% 196.24/31.13 | | | | | | | ( ~ (all_14_0 = e0) & op(e1, e2) = all_14_0 &
% 196.24/31.13 | | | | | | $i(all_14_0)))
% 196.24/31.13 | | | | | |
% 196.24/31.13 | | | | | | ALPHA: (5127) implies:
% 196.24/31.13 | | | | | | (5128) op(e2, e3) = all_14_1
% 196.24/31.13 | | | | | | (5129) ~ (all_14_1 = e1) | ( ~ (all_14_0 = e0) & op(e1, e2) =
% 196.24/31.13 | | | | | | all_14_0 & $i(all_14_0))
% 196.24/31.13 | | | | | |
% 196.24/31.13 | | | | | | COMBINE_EQS: (321), (5126) imply:
% 196.24/31.13 | | | | | | (5130) all_22_2 = e2
% 196.24/31.13 | | | | | |
% 196.24/31.13 | | | | | | REDUCE: (337), (5126) imply:
% 196.24/31.13 | | | | | | (5131) ~ (all_52_1 = e2)
% 196.24/31.13 | | | | | |
% 196.24/31.13 | | | | | | REDUCE: (339), (5126) imply:
% 196.24/31.13 | | | | | | (5132) ~ (all_52_2 = e2)
% 196.24/31.13 | | | | | |
% 196.24/31.13 | | | | | | REDUCE: (341), (5126) imply:
% 196.24/31.13 | | | | | | (5133) ~ (all_52_3 = e2)
% 196.24/31.13 | | | | | |
% 196.24/31.13 | | | | | | REDUCE: (343), (5126) imply:
% 196.24/31.13 | | | | | | (5134) ~ (all_52_4 = e2)
% 196.24/31.13 | | | | | |
% 196.24/31.13 | | | | | | REDUCE: (345), (5126) imply:
% 196.24/31.13 | | | | | | (5135) ~ (all_52_8 = e2)
% 196.24/31.13 | | | | | |
% 196.24/31.13 | | | | | | REDUCE: (347), (5126) imply:
% 196.24/31.13 | | | | | | (5136) ~ (all_52_12 = e2)
% 196.24/31.13 | | | | | |
% 196.24/31.13 | | | | | | BETA: splitting (64) gives:
% 196.24/31.13 | | | | | |
% 196.24/31.13 | | | | | | Case 1:
% 196.24/31.13 | | | | | | |
% 196.24/31.13 | | | | | | | (5137) ~ (all_22_2 = e2)
% 196.24/31.13 | | | | | | |
% 196.24/31.13 | | | | | | | REDUCE: (5130), (5137) imply:
% 196.24/31.13 | | | | | | | (5138) $false
% 196.24/31.13 | | | | | | |
% 196.24/31.13 | | | | | | | CLOSE: (5138) is inconsistent.
% 196.24/31.13 | | | | | | |
% 196.24/31.13 | | | | | | Case 2:
% 196.24/31.13 | | | | | | |
% 196.24/31.13 | | | | | | | (5139) op(e2, e3) = all_22_1 & $i(all_22_1) & ( ~ (all_22_1 =
% 196.24/31.13 | | | | | | | e0) | ( ~ (all_22_0 = e1) & op(e0, e2) = all_22_0 &
% 196.24/31.13 | | | | | | | $i(all_22_0)))
% 196.24/31.13 | | | | | | |
% 196.24/31.13 | | | | | | | ALPHA: (5139) implies:
% 196.24/31.13 | | | | | | | (5140) op(e2, e3) = all_22_1
% 196.24/31.13 | | | | | | | (5141) ~ (all_22_1 = e0) | ( ~ (all_22_0 = e1) & op(e0, e2) =
% 196.24/31.13 | | | | | | | all_22_0 & $i(all_22_0))
% 196.24/31.13 | | | | | | |
% 196.24/31.13 | | | | | | | BETA: splitting (233) gives:
% 196.24/31.13 | | | | | | |
% 196.24/31.13 | | | | | | | Case 1:
% 196.24/31.13 | | | | | | | |
% 196.24/31.13 | | | | | | | | (5142) (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2 &
% 196.24/31.13 | | | | | | | | op(e2, e3) = e2)
% 196.24/31.13 | | | | | | | |
% 196.24/31.13 | | | | | | | | BETA: splitting (5142) gives:
% 196.24/31.13 | | | | | | | |
% 196.24/31.13 | | | | | | | | Case 1:
% 196.24/31.13 | | | | | | | | |
% 196.24/31.13 | | | | | | | | | (5143) all_56_0 = e2 & op(e3, e3) = e2
% 196.24/31.13 | | | | | | | | |
% 196.24/31.13 | | | | | | | | | ALPHA: (5143) implies:
% 196.24/31.13 | | | | | | | | | (5144) all_56_0 = e2
% 196.24/31.13 | | | | | | | | | (5145) op(e3, e3) = e2
% 196.24/31.13 | | | | | | | | |
% 196.24/31.13 | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_1,
% 196.24/31.13 | | | | | | | | | all_14_1, e3, e2, simplifying with (167), (5128)
% 196.24/31.13 | | | | | | | | | gives:
% 196.24/31.13 | | | | | | | | | (5146) all_52_1 = all_14_1
% 196.24/31.13 | | | | | | | | |
% 196.24/31.13 | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_1,
% 196.24/31.13 | | | | | | | | | all_22_1, e3, e2, simplifying with (167), (5140)
% 196.24/31.13 | | | | | | | | | gives:
% 196.24/31.13 | | | | | | | | | (5147) all_52_1 = all_22_1
% 196.24/31.13 | | | | | | | | |
% 196.24/31.13 | | | | | | | | | COMBINE_EQS: (5146), (5147) imply:
% 196.24/31.13 | | | | | | | | | (5148) all_22_1 = all_14_1
% 196.24/31.13 | | | | | | | | |
% 196.24/31.13 | | | | | | | | | SIMP: (5148) implies:
% 196.24/31.13 | | | | | | | | | (5149) all_22_1 = all_14_1
% 196.24/31.13 | | | | | | | | |
% 196.24/31.13 | | | | | | | | | COMBINE_EQS: (269), (5146) imply:
% 196.24/31.13 | | | | | | | | | (5150) all_54_4 = all_14_1
% 196.24/31.13 | | | | | | | | |
% 196.24/31.13 | | | | | | | | | REDUCE: (149), (5146) imply:
% 196.24/31.13 | | | | | | | | | (5151) ~ (all_52_2 = all_14_1)
% 196.24/31.13 | | | | | | | | |
% 196.24/31.13 | | | | | | | | | SIMP: (5151) implies:
% 196.24/31.13 | | | | | | | | | (5152) ~ (all_52_2 = all_14_1)
% 196.24/31.13 | | | | | | | | |
% 196.24/31.13 | | | | | | | | | REDUCE: (148), (5146) imply:
% 196.24/31.13 | | | | | | | | | (5153) ~ (all_52_3 = all_14_1)
% 196.24/31.13 | | | | | | | | |
% 196.24/31.13 | | | | | | | | | SIMP: (5153) implies:
% 196.24/31.13 | | | | | | | | | (5154) ~ (all_52_3 = all_14_1)
% 196.24/31.13 | | | | | | | | |
% 196.24/31.13 | | | | | | | | | REDUCE: (146), (5146) imply:
% 196.24/31.13 | | | | | | | | | (5155) ~ (all_52_9 = all_14_1)
% 196.24/31.13 | | | | | | | | |
% 196.24/31.13 | | | | | | | | | SIMP: (5155) implies:
% 196.24/31.13 | | | | | | | | | (5156) ~ (all_52_9 = all_14_1)
% 196.24/31.13 | | | | | | | | |
% 196.24/31.13 | | | | | | | | | REDUCE: (145), (5146) imply:
% 196.24/31.13 | | | | | | | | | (5157) ~ (all_52_13 = all_14_1)
% 196.24/31.13 | | | | | | | | |
% 196.24/31.13 | | | | | | | | | SIMP: (5157) implies:
% 196.24/31.13 | | | | | | | | | (5158) ~ (all_52_13 = all_14_1)
% 196.24/31.13 | | | | | | | | |
% 196.24/31.13 | | | | | | | | | REDUCE: (348), (5146) imply:
% 196.24/31.13 | | | | | | | | | (5159) ~ (all_14_1 = all_6_2)
% 196.24/31.13 | | | | | | | | |
% 196.24/31.13 | | | | | | | | | REDUCE: (5131), (5146) imply:
% 196.24/31.13 | | | | | | | | | (5160) ~ (all_14_1 = e2)
% 196.24/31.13 | | | | | | | | |
% 196.24/31.13 | | | | | | | | | BETA: splitting (55) gives:
% 196.24/31.13 | | | | | | | | |
% 196.24/31.13 | | | | | | | | | Case 1:
% 196.24/31.13 | | | | | | | | | |
% 196.24/31.13 | | | | | | | | | | (5161) ~ (all_16_2 = e3)
% 196.24/31.13 | | | | | | | | | |
% 196.24/31.13 | | | | | | | | | | REDUCE: (328), (5161) imply:
% 196.24/31.13 | | | | | | | | | | (5162) ~ (all_6_2 = e3)
% 196.24/31.13 | | | | | | | | | |
% 196.24/31.13 | | | | | | | | | | BETA: splitting (61) gives:
% 196.24/31.13 | | | | | | | | | |
% 196.24/31.13 | | | | | | | | | | Case 1:
% 196.24/31.13 | | | | | | | | | | |
% 196.24/31.14 | | | | | | | | | | | (5163) ~ (all_20_2 = e0)
% 196.24/31.14 | | | | | | | | | | |
% 196.24/31.14 | | | | | | | | | | | REDUCE: (283), (5163) imply:
% 196.24/31.14 | | | | | | | | | | | (5164) ~ (all_6_2 = e0)
% 196.24/31.14 | | | | | | | | | | |
% 196.24/31.14 | | | | | | | | | | | BETA: splitting (199) gives:
% 196.24/31.14 | | | | | | | | | | |
% 196.24/31.14 | | | | | | | | | | | Case 1:
% 196.24/31.14 | | | | | | | | | | | |
% 196.24/31.14 | | | | | | | | | | | | (5165) all_54_5 = e3
% 196.24/31.14 | | | | | | | | | | | |
% 196.24/31.14 | | | | | | | | | | | | COMBINE_EQS: (268), (5165) imply:
% 196.24/31.14 | | | | | | | | | | | | (5166) all_6_2 = e3
% 196.24/31.14 | | | | | | | | | | | |
% 196.24/31.14 | | | | | | | | | | | | REDUCE: (5162), (5166) imply:
% 196.24/31.14 | | | | | | | | | | | | (5167) $false
% 196.24/31.14 | | | | | | | | | | | |
% 196.24/31.14 | | | | | | | | | | | | CLOSE: (5167) is inconsistent.
% 196.24/31.14 | | | | | | | | | | | |
% 196.24/31.14 | | | | | | | | | | | Case 2:
% 196.24/31.14 | | | | | | | | | | | |
% 196.24/31.14 | | | | | | | | | | | | (5168) ~ (all_54_5 = e3)
% 196.24/31.14 | | | | | | | | | | | | (5169) all_54_5 = e2 | all_54_5 = e1 | all_54_5 = e0
% 196.24/31.14 | | | | | | | | | | | |
% 196.24/31.14 | | | | | | | | | | | | BETA: splitting (5169) gives:
% 196.24/31.14 | | | | | | | | | | | |
% 196.24/31.14 | | | | | | | | | | | | Case 1:
% 196.24/31.14 | | | | | | | | | | | | |
% 196.24/31.14 | | | | | | | | | | | | | (5170) all_54_5 = e2
% 196.24/31.14 | | | | | | | | | | | | |
% 196.24/31.14 | | | | | | | | | | | | | COMBINE_EQS: (268), (5170) imply:
% 196.24/31.14 | | | | | | | | | | | | | (5171) all_6_2 = e2
% 196.24/31.14 | | | | | | | | | | | | |
% 196.24/31.14 | | | | | | | | | | | | | REDUCE: (353), (5171) imply:
% 196.24/31.14 | | | | | | | | | | | | | (5172) ~ (all_52_6 = e2)
% 196.24/31.14 | | | | | | | | | | | | |
% 196.24/31.14 | | | | | | | | | | | | | REDUCE: (357), (5171) imply:
% 196.24/31.14 | | | | | | | | | | | | | (5173) ~ (all_52_9 = e2)
% 196.24/31.14 | | | | | | | | | | | | |
% 196.24/31.14 | | | | | | | | | | | | | REDUCE: (5162), (5171) imply:
% 196.24/31.14 | | | | | | | | | | | | | (5174) ~ (e3 = e2)
% 196.24/31.14 | | | | | | | | | | | | |
% 196.24/31.14 | | | | | | | | | | | | | REDUCE: (39), (5171) imply:
% 196.24/31.14 | | | | | | | | | | | | | (5175) op(e2, e2) = e2
% 196.24/31.14 | | | | | | | | | | | | |
% 196.24/31.14 | | | | | | | | | | | | | BETA: splitting (219) gives:
% 196.24/31.14 | | | | | | | | | | | | |
% 196.24/31.14 | | | | | | | | | | | | | Case 1:
% 196.24/31.14 | | | | | | | | | | | | | |
% 196.24/31.14 | | | | | | | | | | | | | | (5176) (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2
% 196.24/31.14 | | | | | | | | | | | | | | & op(e2, e1) = e2)
% 196.24/31.14 | | | | | | | | | | | | | |
% 196.24/31.14 | | | | | | | | | | | | | | REF_CLOSE: (165), (169), (5135), (5173), (5176),
% 196.24/31.14 | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 196.24/31.14 | | | | | | | | | | | | | | #1043.
% 196.24/31.14 | | | | | | | | | | | | | |
% 196.24/31.14 | | | | | | | | | | | | | Case 2:
% 196.24/31.14 | | | | | | | | | | | | | |
% 196.24/31.14 | | | | | | | | | | | | | | (5177) (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 =
% 196.24/31.14 | | | | | | | | | | | | | | e2 & op(e0, e1) = e2)
% 196.24/31.14 | | | | | | | | | | | | | |
% 196.24/31.14 | | | | | | | | | | | | | | BETA: splitting (5177) gives:
% 196.24/31.14 | | | | | | | | | | | | | |
% 196.24/31.14 | | | | | | | | | | | | | | Case 1:
% 196.24/31.14 | | | | | | | | | | | | | | |
% 196.24/31.14 | | | | | | | | | | | | | | | (5178) all_56_8 = e2 & op(e1, e1) = e2
% 196.24/31.14 | | | | | | | | | | | | | | |
% 196.24/31.14 | | | | | | | | | | | | | | | ALPHA: (5178) implies:
% 196.24/31.14 | | | | | | | | | | | | | | | (5179) op(e1, e1) = e2
% 196.24/31.14 | | | | | | | | | | | | | | |
% 196.24/31.14 | | | | | | | | | | | | | | | REF_CLOSE: (36), (375), (5179), (function-axioms) are
% 196.24/31.14 | | | | | | | | | | | | | | | inconsistent by sub-proof #1759.
% 196.24/31.14 | | | | | | | | | | | | | | |
% 196.24/31.14 | | | | | | | | | | | | | | Case 2:
% 196.24/31.14 | | | | | | | | | | | | | | |
% 196.24/31.14 | | | | | | | | | | | | | | | (5180) all_56_14 = e2 & op(e0, e1) = e2
% 196.24/31.14 | | | | | | | | | | | | | | |
% 196.24/31.14 | | | | | | | | | | | | | | | ALPHA: (5180) implies:
% 196.24/31.14 | | | | | | | | | | | | | | | (5181) all_56_14 = e2
% 196.24/31.14 | | | | | | | | | | | | | | | (5182) op(e0, e1) = e2
% 196.24/31.14 | | | | | | | | | | | | | | |
% 196.24/31.14 | | | | | | | | | | | | | | | BETA: splitting (215) gives:
% 196.24/31.14 | | | | | | | | | | | | | | |
% 196.24/31.14 | | | | | | | | | | | | | | | Case 1:
% 196.24/31.14 | | | | | | | | | | | | | | | |
% 196.24/31.14 | | | | | | | | | | | | | | | | (5183) (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_7 = e2
% 196.24/31.14 | | | | | | | | | | | | | | | | & op(e1, e2) = e2)
% 196.24/31.14 | | | | | | | | | | | | | | | |
% 196.24/31.14 | | | | | | | | | | | | | | | | REF_CLOSE: (162), (163), (5132), (5172), (5183),
% 196.24/31.14 | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 196.24/31.14 | | | | | | | | | | | | | | | | #1042.
% 196.24/31.14 | | | | | | | | | | | | | | | |
% 196.24/31.14 | | | | | | | | | | | | | | | Case 2:
% 196.24/31.14 | | | | | | | | | | | | | | | |
% 196.24/31.14 | | | | | | | | | | | | | | | | (5184) (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_11 =
% 196.24/31.14 | | | | | | | | | | | | | | | | e2 & op(e1, e0) = e2)
% 196.24/31.14 | | | | | | | | | | | | | | | |
% 196.24/31.14 | | | | | | | | | | | | | | | | BETA: splitting (5184) gives:
% 196.24/31.14 | | | | | | | | | | | | | | | |
% 196.24/31.14 | | | | | | | | | | | | | | | | Case 1:
% 196.24/31.14 | | | | | | | | | | | | | | | | |
% 196.24/31.14 | | | | | | | | | | | | | | | | | (5185) all_56_8 = e2 & op(e1, e1) = e2
% 196.24/31.14 | | | | | | | | | | | | | | | | |
% 196.24/31.14 | | | | | | | | | | | | | | | | | ALPHA: (5185) implies:
% 196.24/31.14 | | | | | | | | | | | | | | | | | (5186) op(e1, e1) = e2
% 196.24/31.14 | | | | | | | | | | | | | | | | |
% 196.24/31.14 | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (375), (5186), (function-axioms) are
% 196.24/31.14 | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1759.
% 196.24/31.14 | | | | | | | | | | | | | | | | |
% 196.24/31.14 | | | | | | | | | | | | | | | | Case 2:
% 196.24/31.14 | | | | | | | | | | | | | | | | |
% 196.24/31.14 | | | | | | | | | | | | | | | | | (5187) all_56_11 = e2 & op(e1, e0) = e2
% 196.24/31.14 | | | | | | | | | | | | | | | | |
% 196.24/31.14 | | | | | | | | | | | | | | | | | ALPHA: (5187) implies:
% 196.24/31.14 | | | | | | | | | | | | | | | | | (5188) all_56_11 = e2
% 196.24/31.14 | | | | | | | | | | | | | | | | | (5189) op(e1, e0) = e2
% 196.24/31.14 | | | | | | | | | | | | | | | | |
% 196.24/31.14 | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (9), (36), (45), (79), (91), (112),
% 196.24/31.14 | | | | | | | | | | | | | | | | | (113), (118), (125), (126), (133), (157), (158),
% 196.24/31.14 | | | | | | | | | | | | | | | | | (159), (160), (162), (164), (165), (167), (168),
% 196.24/31.14 | | | | | | | | | | | | | | | | | (169), (170), (189), (194), (201), (206), (207),
% 196.24/31.14 | | | | | | | | | | | | | | | | | (208), (209), (211), (212), (217), (222), (223),
% 196.24/31.14 | | | | | | | | | | | | | | | | | (224), (225), (226), (227), (228), (229), (230),
% 196.24/31.14 | | | | | | | | | | | | | | | | | (231), (232), (234), (236), (238), (239), (246),
% 196.24/31.14 | | | | | | | | | | | | | | | | | (270), (301), (307), (335), (350), (360), (361),
% 196.24/31.14 | | | | | | | | | | | | | | | | | (362), (363), (367), (369), (371), (372), (376),
% 196.24/31.14 | | | | | | | | | | | | | | | | | (5131), (5134), (5144), (5145), (5175), (5181),
% 196.24/31.14 | | | | | | | | | | | | | | | | | (5182), (5188), (5189), (function-axioms) are
% 196.24/31.14 | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1615.
% 196.24/31.14 | | | | | | | | | | | | | | | | |
% 196.24/31.14 | | | | | | | | | | | | | | | | End of split
% 196.24/31.14 | | | | | | | | | | | | | | | |
% 196.24/31.14 | | | | | | | | | | | | | | | End of split
% 196.24/31.14 | | | | | | | | | | | | | | |
% 196.24/31.14 | | | | | | | | | | | | | | End of split
% 196.24/31.14 | | | | | | | | | | | | | |
% 196.24/31.14 | | | | | | | | | | | | | End of split
% 196.24/31.14 | | | | | | | | | | | | |
% 196.24/31.14 | | | | | | | | | | | | Case 2:
% 196.24/31.14 | | | | | | | | | | | | |
% 196.24/31.14 | | | | | | | | | | | | | (5190) all_54_5 = e1 | all_54_5 = e0
% 196.24/31.14 | | | | | | | | | | | | |
% 196.24/31.14 | | | | | | | | | | | | | REF_CLOSE: (268), (373), (5164), (5190) are inconsistent by
% 196.24/31.14 | | | | | | | | | | | | | sub-proof #1517.
% 196.24/31.14 | | | | | | | | | | | | |
% 196.24/31.14 | | | | | | | | | | | | End of split
% 196.24/31.14 | | | | | | | | | | | |
% 196.24/31.14 | | | | | | | | | | | End of split
% 196.24/31.14 | | | | | | | | | | |
% 196.24/31.14 | | | | | | | | | | Case 2:
% 196.24/31.14 | | | | | | | | | | |
% 196.24/31.14 | | | | | | | | | | | (5191) all_20_2 = e0
% 196.24/31.14 | | | | | | | | | | | (5192) op(e0, e2) = all_20_1 & $i(all_20_1) & ( ~
% 196.24/31.14 | | | | | | | | | | | (all_20_1 = e3) | ( ~ (all_20_0 = e1) & op(e3,
% 196.24/31.14 | | | | | | | | | | | e0) = all_20_0 & $i(all_20_0)))
% 196.24/31.14 | | | | | | | | | | |
% 196.24/31.14 | | | | | | | | | | | ALPHA: (5192) implies:
% 196.24/31.14 | | | | | | | | | | | (5193) op(e0, e2) = all_20_1
% 196.24/31.14 | | | | | | | | | | |
% 196.24/31.14 | | | | | | | | | | | COMBINE_EQS: (283), (5191) imply:
% 196.24/31.14 | | | | | | | | | | | (5194) all_6_2 = e0
% 196.24/31.14 | | | | | | | | | | |
% 196.24/31.14 | | | | | | | | | | | COMBINE_EQS: (331), (5194) imply:
% 196.24/31.14 | | | | | | | | | | | (5195) all_26_2 = e0
% 196.24/31.14 | | | | | | | | | | |
% 196.24/31.14 | | | | | | | | | | | REDUCE: (351), (5194) imply:
% 196.24/31.14 | | | | | | | | | | | (5196) ~ (all_52_4 = e0)
% 196.24/31.14 | | | | | | | | | | |
% 196.24/31.14 | | | | | | | | | | | REDUCE: (353), (5194) imply:
% 196.24/31.14 | | | | | | | | | | | (5197) ~ (all_52_6 = e0)
% 196.24/31.14 | | | | | | | | | | |
% 196.24/31.14 | | | | | | | | | | | REDUCE: (355), (5194) imply:
% 196.24/31.14 | | | | | | | | | | | (5198) ~ (all_52_7 = e0)
% 196.24/31.14 | | | | | | | | | | |
% 196.24/31.14 | | | | | | | | | | | REDUCE: (357), (5194) imply:
% 196.24/31.14 | | | | | | | | | | | (5199) ~ (all_52_9 = e0)
% 196.24/31.14 | | | | | | | | | | |
% 196.24/31.14 | | | | | | | | | | | REDUCE: (359), (5194) imply:
% 196.24/31.14 | | | | | | | | | | | (5200) ~ (all_52_13 = e0)
% 196.24/31.14 | | | | | | | | | | |
% 196.24/31.14 | | | | | | | | | | | REDUCE: (5159), (5194) imply:
% 196.24/31.14 | | | | | | | | | | | (5201) ~ (all_14_1 = e0)
% 196.24/31.14 | | | | | | | | | | |
% 196.24/31.14 | | | | | | | | | | | REDUCE: (5162), (5194) imply:
% 196.24/31.14 | | | | | | | | | | | (5202) ~ (e3 = e0)
% 196.24/31.14 | | | | | | | | | | |
% 196.24/31.14 | | | | | | | | | | | REDUCE: (373), (5194) imply:
% 196.24/31.14 | | | | | | | | | | | (5203) ~ (e1 = e0)
% 196.24/31.14 | | | | | | | | | | |
% 196.24/31.14 | | | | | | | | | | | REDUCE: (39), (5194) imply:
% 196.24/31.14 | | | | | | | | | | | (5204) op(e2, e2) = e0
% 196.24/31.14 | | | | | | | | | | |
% 196.24/31.14 | | | | | | | | | | | BETA: splitting (70) gives:
% 196.24/31.14 | | | | | | | | | | |
% 196.24/31.14 | | | | | | | | | | | Case 1:
% 196.24/31.14 | | | | | | | | | | | |
% 196.24/31.14 | | | | | | | | | | | | (5205) ~ (all_26_2 = e0)
% 196.24/31.14 | | | | | | | | | | | |
% 196.24/31.14 | | | | | | | | | | | | REDUCE: (5195), (5205) imply:
% 196.24/31.14 | | | | | | | | | | | | (5206) $false
% 196.24/31.14 | | | | | | | | | | | |
% 196.24/31.14 | | | | | | | | | | | | CLOSE: (5206) is inconsistent.
% 196.24/31.14 | | | | | | | | | | | |
% 196.24/31.14 | | | | | | | | | | | Case 2:
% 196.24/31.14 | | | | | | | | | | | |
% 196.24/31.14 | | | | | | | | | | | | (5207) op(e0, e2) = all_26_1 & $i(all_26_1) & ( ~
% 196.24/31.14 | | | | | | | | | | | | (all_26_1 = e1) | ( ~ (all_26_0 = e3) & op(e1,
% 196.24/31.14 | | | | | | | | | | | | e0) = all_26_0 & $i(all_26_0)))
% 196.24/31.14 | | | | | | | | | | | |
% 196.24/31.14 | | | | | | | | | | | | ALPHA: (5207) implies:
% 196.24/31.14 | | | | | | | | | | | | (5208) op(e0, e2) = all_26_1
% 196.24/31.14 | | | | | | | | | | | | (5209) ~ (all_26_1 = e1) | ( ~ (all_26_0 = e3) & op(e1,
% 196.24/31.14 | | | | | | | | | | | | e0) = all_26_0 & $i(all_26_0))
% 196.24/31.14 | | | | | | | | | | | |
% 196.24/31.14 | | | | | | | | | | | | BETA: splitting (221) gives:
% 196.24/31.14 | | | | | | | | | | | |
% 196.24/31.14 | | | | | | | | | | | | Case 1:
% 196.24/31.14 | | | | | | | | | | | | |
% 196.24/31.14 | | | | | | | | | | | | | (5210) (all_56_2 = e0 & op(e2, e3) = e0) | (all_56_3 = e0
% 196.24/31.14 | | | | | | | | | | | | | & op(e2, e2) = e0)
% 196.24/31.14 | | | | | | | | | | | | |
% 196.24/31.14 | | | | | | | | | | | | | BETA: splitting (5210) gives:
% 196.24/31.14 | | | | | | | | | | | | |
% 196.24/31.14 | | | | | | | | | | | | | Case 1:
% 196.24/31.14 | | | | | | | | | | | | | |
% 196.24/31.14 | | | | | | | | | | | | | | (5211) all_56_2 = e0 & op(e2, e3) = e0
% 196.24/31.14 | | | | | | | | | | | | | |
% 196.24/31.14 | | | | | | | | | | | | | | ALPHA: (5211) implies:
% 196.24/31.14 | | | | | | | | | | | | | | (5212) all_56_2 = e0
% 196.24/31.14 | | | | | | | | | | | | | |
% 196.24/31.14 | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (158), (162), (222),
% 196.24/31.14 | | | | | | | | | | | | | | (223), (224), (225), (226), (227), (228), (5197),
% 196.24/31.14 | | | | | | | | | | | | | | (5198), (5204), (5212), (function-axioms) are
% 196.24/31.14 | | | | | | | | | | | | | | inconsistent by sub-proof #1485.
% 196.24/31.14 | | | | | | | | | | | | | |
% 196.24/31.14 | | | | | | | | | | | | | Case 2:
% 196.24/31.14 | | | | | | | | | | | | | |
% 196.24/31.14 | | | | | | | | | | | | | | (5213) all_56_3 = e0 & op(e2, e2) = e0
% 196.24/31.14 | | | | | | | | | | | | | |
% 196.24/31.14 | | | | | | | | | | | | | | ALPHA: (5213) implies:
% 196.24/31.14 | | | | | | | | | | | | | | (5214) all_56_3 = e0
% 196.24/31.14 | | | | | | | | | | | | | |
% 196.24/31.14 | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_7,
% 196.24/31.14 | | | | | | | | | | | | | | all_20_1, e2, e0, simplifying with (158), (5193)
% 196.24/31.14 | | | | | | | | | | | | | | gives:
% 196.24/31.14 | | | | | | | | | | | | | | (5215) all_52_7 = all_20_1
% 196.24/31.14 | | | | | | | | | | | | | |
% 196.24/31.14 | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_7,
% 196.24/31.14 | | | | | | | | | | | | | | all_26_1, e2, e0, simplifying with (158), (5208)
% 196.24/31.14 | | | | | | | | | | | | | | gives:
% 196.24/31.14 | | | | | | | | | | | | | | (5216) all_52_7 = all_26_1
% 196.24/31.14 | | | | | | | | | | | | | |
% 196.24/31.14 | | | | | | | | | | | | | | COMBINE_EQS: (5215), (5216) imply:
% 196.24/31.14 | | | | | | | | | | | | | | (5217) all_26_1 = all_20_1
% 196.24/31.14 | | | | | | | | | | | | | |
% 196.24/31.14 | | | | | | | | | | | | | | SIMP: (5217) implies:
% 196.24/31.14 | | | | | | | | | | | | | | (5218) all_26_1 = all_20_1
% 196.24/31.14 | | | | | | | | | | | | | |
% 196.24/31.14 | | | | | | | | | | | | | | COMBINE_EQS: (248), (5215) imply:
% 196.24/31.14 | | | | | | | | | | | | | | (5219) all_54_13 = all_20_1
% 196.24/31.14 | | | | | | | | | | | | | |
% 196.24/31.14 | | | | | | | | | | | | | | REDUCE: (140), (5215) imply:
% 196.24/31.14 | | | | | | | | | | | | | | (5220) ~ (all_52_3 = all_20_1)
% 196.24/31.14 | | | | | | | | | | | | | |
% 196.24/31.14 | | | | | | | | | | | | | | REDUCE: (135), (5215) imply:
% 196.24/31.14 | | | | | | | | | | | | | | (5221) ~ (all_52_4 = all_20_1)
% 196.24/31.14 | | | | | | | | | | | | | |
% 196.24/31.14 | | | | | | | | | | | | | | REDUCE: (128), (5215) imply:
% 196.24/31.14 | | | | | | | | | | | | | | (5222) ~ (all_52_6 = all_20_1)
% 196.24/31.14 | | | | | | | | | | | | | |
% 196.24/31.14 | | | | | | | | | | | | | | REDUCE: (125), (5215) imply:
% 196.24/31.14 | | | | | | | | | | | | | | (5223) ~ (all_52_11 = all_20_1)
% 196.24/31.14 | | | | | | | | | | | | | |
% 196.24/31.14 | | | | | | | | | | | | | | SIMP: (5223) implies:
% 196.24/31.14 | | | | | | | | | | | | | | (5224) ~ (all_52_11 = all_20_1)
% 196.24/31.14 | | | | | | | | | | | | | |
% 196.24/31.14 | | | | | | | | | | | | | | REDUCE: (5198), (5215) imply:
% 196.24/31.14 | | | | | | | | | | | | | | (5225) ~ (all_20_1 = e0)
% 196.24/31.14 | | | | | | | | | | | | | |
% 196.24/31.14 | | | | | | | | | | | | | | BETA: splitting (76) gives:
% 196.24/31.14 | | | | | | | | | | | | | |
% 196.24/31.14 | | | | | | | | | | | | | | Case 1:
% 196.24/31.14 | | | | | | | | | | | | | | |
% 196.24/31.14 | | | | | | | | | | | | | | | (5226) ~ (all_30_2 = e2)
% 196.24/31.14 | | | | | | | | | | | | | | |
% 196.24/31.14 | | | | | | | | | | | | | | | REDUCE: (309), (5226) imply:
% 196.24/31.14 | | | | | | | | | | | | | | | (5227) ~ (all_10_2 = e2)
% 196.24/31.14 | | | | | | | | | | | | | | |
% 196.24/31.14 | | | | | | | | | | | | | | | BETA: splitting (79) gives:
% 196.24/31.14 | | | | | | | | | | | | | | |
% 196.24/31.14 | | | | | | | | | | | | | | | Case 1:
% 196.24/31.14 | | | | | | | | | | | | | | | |
% 196.24/31.14 | | | | | | | | | | | | | | | | (5228) ~ (all_32_2 = e3)
% 196.24/31.14 | | | | | | | | | | | | | | | |
% 196.24/31.14 | | | | | | | | | | | | | | | | REDUCE: (301), (5228) imply:
% 196.24/31.14 | | | | | | | | | | | | | | | | (5229) ~ (all_4_2 = e3)
% 196.24/31.14 | | | | | | | | | | | | | | | |
% 196.24/31.14 | | | | | | | | | | | | | | | | BETA: splitting (194) gives:
% 196.24/31.14 | | | | | | | | | | | | | | | |
% 196.24/31.14 | | | | | | | | | | | | | | | | Case 1:
% 196.24/31.14 | | | | | | | | | | | | | | | | |
% 196.24/31.14 | | | | | | | | | | | | | | | | | (5230) all_54_10 = e3
% 196.24/31.14 | | | | | | | | | | | | | | | | |
% 196.24/31.14 | | | | | | | | | | | | | | | | | REF_CLOSE: (335), (5229), (5230) are inconsistent by
% 196.24/31.14 | | | | | | | | | | | | | | | | | sub-proof #1974.
% 196.24/31.14 | | | | | | | | | | | | | | | | |
% 196.24/31.14 | | | | | | | | | | | | | | | | Case 2:
% 196.24/31.14 | | | | | | | | | | | | | | | | |
% 196.24/31.14 | | | | | | | | | | | | | | | | | (5231) all_54_10 = e2 | all_54_10 = e1 | all_54_10 = e0
% 196.24/31.14 | | | | | | | | | | | | | | | | |
% 196.24/31.14 | | | | | | | | | | | | | | | | | BETA: splitting (5231) gives:
% 196.24/31.14 | | | | | | | | | | | | | | | | |
% 196.24/31.14 | | | | | | | | | | | | | | | | | Case 1:
% 196.24/31.14 | | | | | | | | | | | | | | | | | |
% 196.24/31.14 | | | | | | | | | | | | | | | | | | (5232) all_54_10 = e2
% 196.24/31.14 | | | | | | | | | | | | | | | | | |
% 196.24/31.14 | | | | | | | | | | | | | | | | | | REF_CLOSE: (335), (375), (5232) are inconsistent by sub-proof
% 196.24/31.14 | | | | | | | | | | | | | | | | | | #1973.
% 196.24/31.14 | | | | | | | | | | | | | | | | | |
% 196.24/31.14 | | | | | | | | | | | | | | | | | Case 2:
% 196.24/31.14 | | | | | | | | | | | | | | | | | |
% 196.24/31.14 | | | | | | | | | | | | | | | | | | (5233) ~ (all_54_10 = e2)
% 196.24/31.14 | | | | | | | | | | | | | | | | | | (5234) all_54_10 = e1 | all_54_10 = e0
% 196.24/31.14 | | | | | | | | | | | | | | | | | |
% 196.24/31.14 | | | | | | | | | | | | | | | | | | BETA: splitting (5234) gives:
% 196.24/31.14 | | | | | | | | | | | | | | | | | |
% 196.24/31.14 | | | | | | | | | | | | | | | | | | Case 1:
% 196.24/31.14 | | | | | | | | | | | | | | | | | | |
% 196.24/31.14 | | | | | | | | | | | | | | | | | | | (5235) all_54_10 = e1
% 196.24/31.14 | | | | | | | | | | | | | | | | | | |
% 196.24/31.14 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (335), (5235) imply:
% 196.24/31.14 | | | | | | | | | | | | | | | | | | | (5236) all_4_2 = e1
% 196.24/31.14 | | | | | | | | | | | | | | | | | | |
% 196.24/31.14 | | | | | | | | | | | | | | | | | | | SIMP: (5236) implies:
% 196.24/31.14 | | | | | | | | | | | | | | | | | | | (5237) all_4_2 = e1
% 196.24/31.14 | | | | | | | | | | | | | | | | | | |
% 196.24/31.14 | | | | | | | | | | | | | | | | | | | REDUCE: (349), (5237) imply:
% 196.24/31.14 | | | | | | | | | | | | | | | | | | | (5238) ~ (all_52_2 = e1)
% 196.24/31.14 | | | | | | | | | | | | | | | | | | |
% 196.24/31.14 | | | | | | | | | | | | | | | | | | | REDUCE: (360), (5237) imply:
% 196.24/31.14 | | | | | | | | | | | | | | | | | | | (5239) ~ (all_52_6 = e1)
% 196.24/31.14 | | | | | | | | | | | | | | | | | | |
% 196.24/31.14 | | | | | | | | | | | | | | | | | | | REDUCE: (367), (5237) imply:
% 196.24/31.14 | | | | | | | | | | | | | | | | | | | (5240) ~ (all_52_14 = e1)
% 196.24/31.14 | | | | | | | | | | | | | | | | | | |
% 196.24/31.14 | | | | | | | | | | | | | | | | | | | REDUCE: (36), (5237) imply:
% 196.24/31.14 | | | | | | | | | | | | | | | | | | | (5241) op(e1, e1) = e1
% 196.24/31.14 | | | | | | | | | | | | | | | | | | |
% 196.24/31.14 | | | | | | | | | | | | | | | | | | | BETA: splitting (91) gives:
% 196.24/31.14 | | | | | | | | | | | | | | | | | | |
% 196.24/31.14 | | | | | | | | | | | | | | | | | | | Case 1:
% 196.24/31.14 | | | | | | | | | | | | | | | | | | | |
% 196.24/31.14 | | | | | | | | | | | | | | | | | | | | (5242) ~ (all_40_2 = e1)
% 196.24/31.14 | | | | | | | | | | | | | | | | | | | |
% 196.24/31.14 | | | | | | | | | | | | | | | | | | | | REDUCE: (307), (5242) imply:
% 196.24/31.14 | | | | | | | | | | | | | | | | | | | | (5243) ~ (all_10_2 = e1)
% 196.24/31.14 | | | | | | | | | | | | | | | | | | | |
% 196.24/31.14 | | | | | | | | | | | | | | | | | | | | BETA: splitting (189) gives:
% 196.24/31.14 | | | | | | | | | | | | | | | | | | | |
% 196.24/31.14 | | | | | | | | | | | | | | | | | | | | Case 1:
% 196.24/31.14 | | | | | | | | | | | | | | | | | | | | |
% 196.24/31.14 | | | | | | | | | | | | | | | | | | | | | (5244) all_54_15 = e3
% 196.24/31.14 | | | | | | | | | | | | | | | | | | | | |
% 196.24/31.14 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (246), (5244) imply:
% 196.24/31.14 | | | | | | | | | | | | | | | | | | | | | (5245) all_10_2 = e3
% 196.24/31.14 | | | | | | | | | | | | | | | | | | | | |
% 196.24/31.14 | | | | | | | | | | | | | | | | | | | | | REDUCE: (376), (5245) imply:
% 196.24/31.14 | | | | | | | | | | | | | | | | | | | | | (5246) $false
% 196.24/31.14 | | | | | | | | | | | | | | | | | | | | |
% 196.24/31.14 | | | | | | | | | | | | | | | | | | | | | CLOSE: (5246) is inconsistent.
% 196.24/31.14 | | | | | | | | | | | | | | | | | | | | |
% 196.24/31.14 | | | | | | | | | | | | | | | | | | | | Case 2:
% 196.24/31.14 | | | | | | | | | | | | | | | | | | | | |
% 196.24/31.14 | | | | | | | | | | | | | | | | | | | | | (5247) all_54_15 = e2 | all_54_15 = e1 | all_54_15 = e0
% 196.24/31.14 | | | | | | | | | | | | | | | | | | | | |
% 196.24/31.14 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5247) gives:
% 196.24/31.14 | | | | | | | | | | | | | | | | | | | | |
% 196.24/31.14 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 196.24/31.14 | | | | | | | | | | | | | | | | | | | | | |
% 196.24/31.14 | | | | | | | | | | | | | | | | | | | | | | (5248) all_54_15 = e2
% 196.24/31.14 | | | | | | | | | | | | | | | | | | | | | |
% 196.24/31.14 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (246), (5248) imply:
% 196.24/31.14 | | | | | | | | | | | | | | | | | | | | | | (5249) all_10_2 = e2
% 196.24/31.14 | | | | | | | | | | | | | | | | | | | | | |
% 196.24/31.14 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5227), (5249) imply:
% 196.24/31.14 | | | | | | | | | | | | | | | | | | | | | | (5250) $false
% 196.24/31.14 | | | | | | | | | | | | | | | | | | | | | |
% 196.24/31.14 | | | | | | | | | | | | | | | | | | | | | | CLOSE: (5250) is inconsistent.
% 196.24/31.14 | | | | | | | | | | | | | | | | | | | | | |
% 196.24/31.14 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 196.24/31.14 | | | | | | | | | | | | | | | | | | | | | |
% 196.24/31.14 | | | | | | | | | | | | | | | | | | | | | | (5251) all_54_15 = e1 | all_54_15 = e0
% 196.24/31.14 | | | | | | | | | | | | | | | | | | | | | |
% 196.24/31.14 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5251) gives:
% 196.24/31.14 | | | | | | | | | | | | | | | | | | | | | |
% 196.24/31.14 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 196.24/31.14 | | | | | | | | | | | | | | | | | | | | | | |
% 196.24/31.14 | | | | | | | | | | | | | | | | | | | | | | | (5252) all_54_15 = e1
% 196.24/31.14 | | | | | | | | | | | | | | | | | | | | | | |
% 196.24/31.14 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (246), (5252) imply:
% 196.24/31.14 | | | | | | | | | | | | | | | | | | | | | | | (5253) all_10_2 = e1
% 196.24/31.14 | | | | | | | | | | | | | | | | | | | | | | |
% 196.24/31.14 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5243), (5253) imply:
% 196.24/31.14 | | | | | | | | | | | | | | | | | | | | | | | (5254) $false
% 196.24/31.14 | | | | | | | | | | | | | | | | | | | | | | |
% 196.24/31.14 | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (5254) is inconsistent.
% 196.24/31.14 | | | | | | | | | | | | | | | | | | | | | | |
% 196.24/31.14 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 196.24/31.14 | | | | | | | | | | | | | | | | | | | | | | |
% 196.24/31.14 | | | | | | | | | | | | | | | | | | | | | | | (5255) all_54_15 = e0
% 196.24/31.14 | | | | | | | | | | | | | | | | | | | | | | |
% 196.24/31.14 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (246), (5255) imply:
% 196.24/31.14 | | | | | | | | | | | | | | | | | | | | | | | (5256) all_10_2 = e0
% 196.24/31.14 | | | | | | | | | | | | | | | | | | | | | | |
% 196.24/31.14 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (350), (5256) imply:
% 196.24/31.14 | | | | | | | | | | | | | | | | | | | | | | | (5257) ~ (all_52_3 = e0)
% 196.24/31.14 | | | | | | | | | | | | | | | | | | | | | | |
% 196.24/31.14 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (45), (5256) imply:
% 196.24/31.14 | | | | | | | | | | | | | | | | | | | | | | | (5258) op(e0, e0) = e0
% 196.24/31.14 | | | | | | | | | | | | | | | | | | | | | | |
% 196.24/31.14 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (238) gives:
% 196.24/31.14 | | | | | | | | | | | | | | | | | | | | | | |
% 196.24/31.14 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 196.24/31.14 | | | | | | | | | | | | | | | | | | | | | | | |
% 196.24/31.14 | | | | | | | | | | | | | | | | | | | | | | | | (5259) (all_57_3 = e3 & ~ (all_57_1 = e2) & ~ (all_57_8
% 196.24/31.14 | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_10 = e2) & ~ (all_57_12 =
% 196.24/31.14 | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_14 = e0) & op(e3, e3) =
% 196.24/31.14 | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e2) = e3 & op(e2, all_57_9) =
% 196.24/31.14 | | | | | | | | | | | | | | | | | | | | | | | | all_57_8 & op(e2, all_57_11) = all_57_10 &
% 196.24/31.14 | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_13) = all_57_12 & op(e2,
% 196.24/31.14 | | | | | | | | | | | | | | | | | | | | | | | | all_57_15) = all_57_14 & op(e2, e3) = all_57_9
% 196.24/31.14 | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = all_57_11 & op(e2, e1) =
% 196.24/31.14 | | | | | | | | | | | | | | | | | | | | | | | | all_57_13 & op(e2, e0) = all_57_15 &
% 196.24/31.14 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_8) & $i(all_57_9) &
% 196.24/31.14 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & $i(all_57_11) & $i(all_57_12) &
% 196.24/31.14 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13) & $i(all_57_14) & $i(all_57_15)) |
% 196.24/31.14 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_5 = e3 & ~ (all_57_1 = e1) & ~
% 196.24/31.14 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_16 = e3) & ~ (all_57_18 = e2) & ~
% 196.24/31.14 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_22 = e0) & op(e3,
% 196.24/31.14 | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_1 & op(e3, e1) = e3 & op(e1,
% 196.24/31.14 | | | | | | | | | | | | | | | | | | | | | | | | all_57_17) = all_57_16 & op(e1, all_57_19) =
% 196.24/31.14 | | | | | | | | | | | | | | | | | | | | | | | | all_57_18 & op(e1, all_57_21) = all_57_20 &
% 196.24/31.14 | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_23) = all_57_22 & op(e1, e3) =
% 196.24/31.14 | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e1, e2) = all_57_19 & op(e1, e1)
% 196.24/31.14 | | | | | | | | | | | | | | | | | | | | | | | | = all_57_21 & op(e1, e0) = all_57_23 &
% 196.24/31.14 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_16) & $i(all_57_17) &
% 196.24/31.14 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_19) & $i(all_57_20) &
% 196.24/31.14 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_22) & $i(all_57_23)) |
% 196.24/31.14 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_7 = e3 & ~ (all_57_1 = e0) & ~
% 196.24/31.14 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 196.24/31.14 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) & op(e3,
% 196.24/31.14 | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_1 & op(e3, e0) = e3 & op(e0,
% 196.24/31.14 | | | | | | | | | | | | | | | | | | | | | | | | all_57_25) = all_57_24 & op(e0, all_57_27) =
% 196.24/31.14 | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e0, all_57_29) = all_57_28 &
% 196.24/31.14 | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_31) = all_57_30 & op(e0, e3) =
% 196.24/31.14 | | | | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_27 & op(e0, e1)
% 196.24/31.14 | | | | | | | | | | | | | | | | | | | | | | | | = all_57_29 & op(e0, e0) = all_57_31 &
% 196.24/31.14 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_24) & $i(all_57_25) &
% 196.24/31.14 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_27) & $i(all_57_28) &
% 196.24/31.14 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29) & $i(all_57_30) & $i(all_57_31)) |
% 196.24/31.14 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e2 & ~ (all_57_0 = e3) & ~ (all_57_2
% 196.24/31.14 | | | | | | | | | | | | | | | | | | | | | | | | = e2) & ~ (all_57_4 = e1) & ~ (all_57_6 =
% 196.24/31.14 | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_11 = e3) & op(e3, all_57_1) =
% 196.24/31.14 | | | | | | | | | | | | | | | | | | | | | | | | all_57_0 & op(e3, all_57_3) = all_57_2 & op(e3,
% 196.24/31.14 | | | | | | | | | | | | | | | | | | | | | | | | all_57_5) = all_57_4 & op(e3, all_57_7) =
% 196.24/31.14 | | | | | | | | | | | | | | | | | | | | | | | | all_57_6 & op(e3, e3) = all_57_1 & op(e3, e2) =
% 196.24/31.14 | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 & op(e3, e1) = all_57_5 & op(e3, e0) =
% 196.24/31.14 | | | | | | | | | | | | | | | | | | | | | | | | all_57_7 & op(e2, e3) = e2 & op(e2, e2) =
% 196.24/31.14 | | | | | | | | | | | | | | | | | | | | | | | | all_57_11 & $i(all_57_0) & $i(all_57_1) &
% 196.24/31.14 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_2) & $i(all_57_3) & $i(all_57_4) &
% 196.24/31.14 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 196.24/31.14 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11))
% 196.24/31.14 | | | | | | | | | | | | | | | | | | | | | | | |
% 196.24/31.14 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5259) gives:
% 196.24/31.14 | | | | | | | | | | | | | | | | | | | | | | | |
% 196.24/31.14 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 196.24/31.14 | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.24/31.14 | | | | | | | | | | | | | | | | | | | | | | | | | (5260) (all_57_3 = e3 & ~ (all_57_1 = e2) & ~ (all_57_8
% 196.24/31.14 | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_10 = e2) & ~ (all_57_12 =
% 196.24/31.14 | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_14 = e0) & op(e3, e3) =
% 196.24/31.14 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e2) = e3 & op(e2, all_57_9) =
% 196.24/31.14 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_8 & op(e2, all_57_11) = all_57_10 &
% 196.24/31.14 | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_13) = all_57_12 & op(e2,
% 196.24/31.14 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15) = all_57_14 & op(e2, e3) = all_57_9
% 196.24/31.14 | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = all_57_11 & op(e2, e1) =
% 196.24/31.14 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_13 & op(e2, e0) = all_57_15 &
% 196.24/31.14 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_8) & $i(all_57_9) &
% 196.24/31.14 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & $i(all_57_11) & $i(all_57_12) &
% 196.24/31.14 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13) & $i(all_57_14) & $i(all_57_15)) |
% 196.24/31.14 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_5 = e3 & ~ (all_57_1 = e1) & ~
% 196.24/31.14 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_16 = e3) & ~ (all_57_18 = e2) & ~
% 196.24/31.14 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_22 = e0) & op(e3,
% 196.24/31.14 | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_1 & op(e3, e1) = e3 & op(e1,
% 196.24/31.14 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17) = all_57_16 & op(e1, all_57_19) =
% 196.24/31.14 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_18 & op(e1, all_57_21) = all_57_20 &
% 196.24/31.14 | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_23) = all_57_22 & op(e1, e3) =
% 196.24/31.14 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e1, e2) = all_57_19 & op(e1, e1)
% 196.24/31.14 | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_21 & op(e1, e0) = all_57_23 &
% 196.24/31.14 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_16) & $i(all_57_17) &
% 196.24/31.14 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_19) & $i(all_57_20) &
% 196.24/31.14 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_22) & $i(all_57_23))
% 196.24/31.14 | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.24/31.14 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5145), (5241), (5260), (function-axioms) are
% 196.24/31.14 | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1041.
% 196.24/31.14 | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.24/31.14 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 196.24/31.14 | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.24/31.15 | | | | | | | | | | | | | | | | | | | | | | | | | (5261) (all_57_7 = e3 & ~ (all_57_1 = e0) & ~
% 196.24/31.15 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 196.24/31.15 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) & op(e3,
% 196.24/31.15 | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_1 & op(e3, e0) = e3 & op(e0,
% 196.24/31.15 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25) = all_57_24 & op(e0, all_57_27) =
% 196.24/31.15 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e0, all_57_29) = all_57_28 &
% 196.24/31.15 | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_31) = all_57_30 & op(e0, e3) =
% 196.24/31.15 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_27 & op(e0, e1)
% 196.24/31.15 | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_29 & op(e0, e0) = all_57_31 &
% 196.24/31.15 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_24) & $i(all_57_25) &
% 196.24/31.15 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_27) & $i(all_57_28) &
% 196.24/31.15 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29) & $i(all_57_30) & $i(all_57_31)) |
% 196.24/31.15 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e2 & ~ (all_57_0 = e3) & ~ (all_57_2
% 196.24/31.15 | | | | | | | | | | | | | | | | | | | | | | | | | = e2) & ~ (all_57_4 = e1) & ~ (all_57_6 =
% 196.24/31.15 | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_11 = e3) & op(e3, all_57_1) =
% 196.24/31.15 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_0 & op(e3, all_57_3) = all_57_2 & op(e3,
% 196.24/31.15 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_5) = all_57_4 & op(e3, all_57_7) =
% 196.24/31.15 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_6 & op(e3, e3) = all_57_1 & op(e3, e2) =
% 196.24/31.15 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 & op(e3, e1) = all_57_5 & op(e3, e0) =
% 196.24/31.15 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7 & op(e2, e3) = e2 & op(e2, e2) =
% 196.24/31.15 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_11 & $i(all_57_0) & $i(all_57_1) &
% 196.24/31.15 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_2) & $i(all_57_3) & $i(all_57_4) &
% 196.24/31.15 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 196.24/31.15 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11))
% 196.24/31.15 | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.24/31.15 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (167), (5131), (5258), (5261), (function-axioms)
% 196.24/31.15 | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1751.
% 196.24/31.15 | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.24/31.15 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 196.24/31.15 | | | | | | | | | | | | | | | | | | | | | | | |
% 196.24/31.15 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 196.24/31.15 | | | | | | | | | | | | | | | | | | | | | | | |
% 196.24/31.15 | | | | | | | | | | | | | | | | | | | | | | | | (5262) (all_57_13 = e2 & ~ (all_57_11 = e1) & ~
% 196.24/31.15 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_16 = e3) & ~ (all_57_18 = e2) & ~
% 196.24/31.15 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_22 = e0) & op(e2,
% 196.24/31.15 | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_11 & op(e2, e1) = e2 & op(e1,
% 196.24/31.15 | | | | | | | | | | | | | | | | | | | | | | | | all_57_17) = all_57_16 & op(e1, all_57_19) =
% 196.24/31.15 | | | | | | | | | | | | | | | | | | | | | | | | all_57_18 & op(e1, all_57_21) = all_57_20 &
% 196.24/31.15 | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_23) = all_57_22 & op(e1, e3) =
% 196.24/31.15 | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e1, e2) = all_57_19 & op(e1, e1)
% 196.24/31.15 | | | | | | | | | | | | | | | | | | | | | | | | = all_57_21 & op(e1, e0) = all_57_23 &
% 196.24/31.15 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_16) & $i(all_57_17) &
% 196.24/31.15 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_19) & $i(all_57_20) &
% 196.24/31.15 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_22) & $i(all_57_23)) |
% 196.24/31.15 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e2 & ~ (all_57_11 = e0) & ~
% 196.24/31.15 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 196.24/31.15 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) & op(e2,
% 196.24/31.15 | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_11 & op(e2, e0) = e2 & op(e0,
% 196.24/31.15 | | | | | | | | | | | | | | | | | | | | | | | | all_57_25) = all_57_24 & op(e0, all_57_27) =
% 196.24/31.15 | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e0, all_57_29) = all_57_28 &
% 196.24/31.15 | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_31) = all_57_30 & op(e0, e3) =
% 196.24/31.15 | | | | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_27 & op(e0, e1)
% 196.24/31.15 | | | | | | | | | | | | | | | | | | | | | | | | = all_57_29 & op(e0, e0) = all_57_31 &
% 196.24/31.15 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_24) & $i(all_57_25) &
% 196.24/31.15 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_27) & $i(all_57_28) &
% 196.24/31.15 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29) & $i(all_57_30) & $i(all_57_31)) |
% 196.24/31.15 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_17 = e1 & ~ (all_57_0 = e3) & ~
% 196.24/31.15 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e2) & ~ (all_57_4 = e1) & ~
% 196.24/31.15 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_6 = e0) & ~ (all_57_21 = e3) & op(e3,
% 196.24/31.15 | | | | | | | | | | | | | | | | | | | | | | | | all_57_1) = all_57_0 & op(e3, all_57_3) =
% 196.24/31.15 | | | | | | | | | | | | | | | | | | | | | | | | all_57_2 & op(e3, all_57_5) = all_57_4 & op(e3,
% 196.24/31.15 | | | | | | | | | | | | | | | | | | | | | | | | all_57_7) = all_57_6 & op(e3, e3) = all_57_1 &
% 196.24/31.15 | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_3 & op(e3, e1) = all_57_5 &
% 196.24/31.15 | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_7 & op(e1, e3) = e1 & op(e1,
% 196.24/31.15 | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_21 & $i(all_57_0) & $i(all_57_1)
% 196.24/31.15 | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_2) & $i(all_57_3) & $i(all_57_4) &
% 196.24/31.15 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 196.24/31.15 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21)) | (all_57_19 = e1 & ~ (all_57_8
% 196.24/31.15 | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_10 = e2) & ~ (all_57_12 =
% 196.24/31.15 | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_14 = e0) & ~ (all_57_21 =
% 196.24/31.15 | | | | | | | | | | | | | | | | | | | | | | | | e2) & op(e2, all_57_9) = all_57_8 & op(e2,
% 196.24/31.15 | | | | | | | | | | | | | | | | | | | | | | | | all_57_11) = all_57_10 & op(e2, all_57_13) =
% 196.24/31.15 | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & op(e2, all_57_15) = all_57_14 &
% 196.24/31.15 | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_9 & op(e2, e2) = all_57_11 &
% 196.24/31.15 | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_57_13 & op(e2, e0) = all_57_15
% 196.24/31.15 | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e1 & op(e1, e1) = all_57_21 &
% 196.24/31.15 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8) & $i(all_57_9) & $i(all_57_10) &
% 196.24/31.15 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_12) & $i(all_57_13) &
% 196.24/31.15 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & $i(all_57_15) & $i(all_57_21)) |
% 196.24/31.15 | | | | | | | | | | | | | | | | | | | | | | | | (op(e0, e0) = all_57_31 & $i(all_57_31) &
% 196.24/31.15 | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_23 = e1 & ~ (all_57_21 = e0) & ~
% 196.24/31.15 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 196.24/31.15 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) &
% 196.24/31.15 | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_21 & op(e1, e0) = e1 &
% 196.24/31.15 | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_25) = all_57_24 & op(e0,
% 196.24/31.15 | | | | | | | | | | | | | | | | | | | | | | | | all_57_27) = all_57_26 & op(e0, all_57_29)
% 196.24/31.15 | | | | | | | | | | | | | | | | | | | | | | | | = all_57_28 & op(e0, all_57_31) = all_57_30
% 196.24/31.15 | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e3) = all_57_25 & op(e0, e2) =
% 196.24/31.15 | | | | | | | | | | | | | | | | | | | | | | | | all_57_27 & op(e0, e1) = all_57_29 &
% 196.24/31.15 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_24) &
% 196.24/31.15 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_25) & $i(all_57_26) &
% 196.24/31.15 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27) & $i(all_57_28) &
% 196.24/31.15 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29) & $i(all_57_30)) | (all_57_25
% 196.24/31.15 | | | | | | | | | | | | | | | | | | | | | | | | = e0 & ~ (all_57_0 = e3) & ~ (all_57_2 =
% 196.24/31.15 | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_4 = e1) & ~ (all_57_6 =
% 196.24/31.15 | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_31 = e3) & op(e3,
% 196.24/31.15 | | | | | | | | | | | | | | | | | | | | | | | | all_57_1) = all_57_0 & op(e3, all_57_3) =
% 196.24/31.15 | | | | | | | | | | | | | | | | | | | | | | | | all_57_2 & op(e3, all_57_5) = all_57_4 &
% 196.24/31.15 | | | | | | | | | | | | | | | | | | | | | | | | op(e3, all_57_7) = all_57_6 & op(e3, e3) =
% 196.24/31.15 | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e2) = all_57_3 & op(e3,
% 196.24/31.15 | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_5 & op(e3, e0) = all_57_7 &
% 196.24/31.15 | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_0) &
% 196.24/31.15 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_2) & $i(all_57_3) &
% 196.24/31.15 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4) & $i(all_57_5) & $i(all_57_6) &
% 196.24/31.15 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7)) | (all_57_27 = e0 & ~
% 196.24/31.15 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e3) & ~ (all_57_10 = e2) & ~
% 196.24/31.15 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e1) & ~ (all_57_14 = e0) & ~
% 196.24/31.15 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e2) & op(e2, all_57_9) =
% 196.24/31.15 | | | | | | | | | | | | | | | | | | | | | | | | all_57_8 & op(e2, all_57_11) = all_57_10 &
% 196.24/31.15 | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_13) = all_57_12 & op(e2,
% 196.24/31.15 | | | | | | | | | | | | | | | | | | | | | | | | all_57_15) = all_57_14 & op(e2, e3) =
% 196.24/31.15 | | | | | | | | | | | | | | | | | | | | | | | | all_57_9 & op(e2, e2) = all_57_11 & op(e2,
% 196.24/31.15 | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_13 & op(e2, e0) = all_57_15 &
% 196.24/31.15 | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_8) &
% 196.24/31.15 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9) & $i(all_57_10) & $i(all_57_11)
% 196.24/31.15 | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_12) & $i(all_57_13) &
% 196.24/31.15 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & $i(all_57_15)) | (all_57_29
% 196.24/31.15 | | | | | | | | | | | | | | | | | | | | | | | | = e0 & ~ (all_57_16 = e3) & ~ (all_57_18 =
% 196.24/31.15 | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_20 = e1) & ~ (all_57_22
% 196.24/31.15 | | | | | | | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_31 = e1) & op(e1,
% 196.24/31.15 | | | | | | | | | | | | | | | | | | | | | | | | all_57_17) = all_57_16 & op(e1, all_57_19)
% 196.24/31.15 | | | | | | | | | | | | | | | | | | | | | | | | = all_57_18 & op(e1, all_57_21) = all_57_20
% 196.24/31.15 | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, all_57_23) = all_57_22 & op(e1, e3)
% 196.24/31.15 | | | | | | | | | | | | | | | | | | | | | | | | = all_57_17 & op(e1, e2) = all_57_19 &
% 196.24/31.15 | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_21 & op(e1, e0) =
% 196.24/31.15 | | | | | | | | | | | | | | | | | | | | | | | | all_57_23 & op(e0, e1) = e0 & $i(all_57_16)
% 196.24/31.15 | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_17) & $i(all_57_18) &
% 196.24/31.15 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_20) &
% 196.24/31.15 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_22) &
% 196.24/31.15 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23))))
% 196.24/31.15 | | | | | | | | | | | | | | | | | | | | | | | |
% 196.24/31.15 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5262) gives:
% 196.24/31.15 | | | | | | | | | | | | | | | | | | | | | | | |
% 196.24/31.15 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 196.24/31.15 | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.24/31.15 | | | | | | | | | | | | | | | | | | | | | | | | | (5263) (all_57_13 = e2 & ~ (all_57_11 = e1) & ~
% 196.24/31.15 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_16 = e3) & ~ (all_57_18 = e2) & ~
% 196.24/31.15 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_22 = e0) & op(e2,
% 196.24/31.15 | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_11 & op(e2, e1) = e2 & op(e1,
% 196.24/31.15 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17) = all_57_16 & op(e1, all_57_19) =
% 196.24/31.15 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_18 & op(e1, all_57_21) = all_57_20 &
% 196.24/31.15 | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_23) = all_57_22 & op(e1, e3) =
% 196.24/31.15 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e1, e2) = all_57_19 & op(e1, e1)
% 196.24/31.15 | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_21 & op(e1, e0) = all_57_23 &
% 196.24/31.15 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_16) & $i(all_57_17) &
% 196.24/31.15 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_19) & $i(all_57_20) &
% 196.24/31.15 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_22) & $i(all_57_23)) |
% 196.24/31.15 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e2 & ~ (all_57_11 = e0) & ~
% 196.24/31.15 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 196.24/31.15 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) & op(e2,
% 196.24/31.15 | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_11 & op(e2, e0) = e2 & op(e0,
% 196.24/31.15 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25) = all_57_24 & op(e0, all_57_27) =
% 196.24/31.15 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e0, all_57_29) = all_57_28 &
% 196.24/31.15 | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_31) = all_57_30 & op(e0, e3) =
% 196.24/31.15 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_27 & op(e0, e1)
% 196.24/31.15 | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_29 & op(e0, e0) = all_57_31 &
% 196.24/31.15 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_24) & $i(all_57_25) &
% 196.24/31.15 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_27) & $i(all_57_28) &
% 196.24/31.15 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29) & $i(all_57_30) & $i(all_57_31))
% 196.24/31.15 | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.24/31.15 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5204), (5241), (5263), (function-axioms) are
% 196.24/31.15 | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1481.
% 196.24/31.15 | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.24/31.15 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 196.24/31.15 | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.24/31.15 | | | | | | | | | | | | | | | | | | | | | | | | | (5264) (all_57_17 = e1 & ~ (all_57_0 = e3) & ~
% 196.24/31.15 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e2) & ~ (all_57_4 = e1) & ~
% 196.24/31.15 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_6 = e0) & ~ (all_57_21 = e3) & op(e3,
% 196.24/31.15 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1) = all_57_0 & op(e3, all_57_3) =
% 196.24/31.15 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_2 & op(e3, all_57_5) = all_57_4 & op(e3,
% 196.24/31.15 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7) = all_57_6 & op(e3, e3) = all_57_1 &
% 196.24/31.15 | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_3 & op(e3, e1) = all_57_5 &
% 196.24/31.15 | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_7 & op(e1, e3) = e1 & op(e1,
% 196.24/31.15 | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_21 & $i(all_57_0) & $i(all_57_1)
% 196.24/31.15 | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_2) & $i(all_57_3) & $i(all_57_4) &
% 196.24/31.15 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 196.24/31.15 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21)) | (all_57_19 = e1 & ~ (all_57_8
% 196.24/31.15 | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_10 = e2) & ~ (all_57_12 =
% 196.24/31.15 | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_14 = e0) & ~ (all_57_21 =
% 196.24/31.15 | | | | | | | | | | | | | | | | | | | | | | | | | e2) & op(e2, all_57_9) = all_57_8 & op(e2,
% 196.24/31.15 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_11) = all_57_10 & op(e2, all_57_13) =
% 196.24/31.15 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & op(e2, all_57_15) = all_57_14 &
% 196.24/31.15 | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_9 & op(e2, e2) = all_57_11 &
% 196.24/31.15 | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_57_13 & op(e2, e0) = all_57_15
% 196.24/31.15 | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e1 & op(e1, e1) = all_57_21 &
% 196.24/31.15 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8) & $i(all_57_9) & $i(all_57_10) &
% 196.24/31.15 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_12) & $i(all_57_13) &
% 196.24/31.15 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & $i(all_57_15) & $i(all_57_21)) |
% 196.24/31.15 | | | | | | | | | | | | | | | | | | | | | | | | | (op(e0, e0) = all_57_31 & $i(all_57_31) &
% 196.24/31.15 | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_23 = e1 & ~ (all_57_21 = e0) & ~
% 196.24/31.15 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 196.24/31.15 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) &
% 196.24/31.15 | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_21 & op(e1, e0) = e1 &
% 196.24/31.15 | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_25) = all_57_24 & op(e0,
% 196.24/31.15 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27) = all_57_26 & op(e0, all_57_29)
% 196.24/31.15 | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_28 & op(e0, all_57_31) = all_57_30
% 196.24/31.15 | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e3) = all_57_25 & op(e0, e2) =
% 196.24/31.15 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27 & op(e0, e1) = all_57_29 &
% 196.24/31.15 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_24) &
% 196.24/31.15 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_25) & $i(all_57_26) &
% 196.24/31.15 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27) & $i(all_57_28) &
% 196.24/31.15 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29) & $i(all_57_30)) | (all_57_25
% 196.24/31.15 | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & ~ (all_57_0 = e3) & ~ (all_57_2 =
% 196.24/31.15 | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_4 = e1) & ~ (all_57_6 =
% 196.24/31.15 | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_31 = e3) & op(e3,
% 196.24/31.15 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1) = all_57_0 & op(e3, all_57_3) =
% 196.24/31.15 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_2 & op(e3, all_57_5) = all_57_4 &
% 196.24/31.15 | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, all_57_7) = all_57_6 & op(e3, e3) =
% 196.24/31.15 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e2) = all_57_3 & op(e3,
% 196.24/31.15 | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_5 & op(e3, e0) = all_57_7 &
% 196.24/31.15 | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_0) &
% 196.24/31.15 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_2) & $i(all_57_3) &
% 196.24/31.15 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4) & $i(all_57_5) & $i(all_57_6) &
% 196.24/31.15 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7)) | (all_57_27 = e0 & ~
% 196.24/31.15 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e3) & ~ (all_57_10 = e2) & ~
% 196.24/31.15 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e1) & ~ (all_57_14 = e0) & ~
% 196.24/31.15 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e2) & op(e2, all_57_9) =
% 196.24/31.15 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_8 & op(e2, all_57_11) = all_57_10 &
% 196.24/31.15 | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_13) = all_57_12 & op(e2,
% 196.24/31.15 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15) = all_57_14 & op(e2, e3) =
% 196.24/31.15 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_9 & op(e2, e2) = all_57_11 & op(e2,
% 196.24/31.15 | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_13 & op(e2, e0) = all_57_15 &
% 196.24/31.15 | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_8) &
% 196.24/31.15 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9) & $i(all_57_10) & $i(all_57_11)
% 196.24/31.15 | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_12) & $i(all_57_13) &
% 196.24/31.15 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & $i(all_57_15)) | (all_57_29
% 196.24/31.15 | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & ~ (all_57_16 = e3) & ~ (all_57_18 =
% 196.24/31.15 | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_20 = e1) & ~ (all_57_22
% 196.24/31.15 | | | | | | | | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_31 = e1) & op(e1,
% 196.24/31.15 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17) = all_57_16 & op(e1, all_57_19)
% 196.24/31.15 | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_18 & op(e1, all_57_21) = all_57_20
% 196.24/31.15 | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, all_57_23) = all_57_22 & op(e1, e3)
% 196.24/31.15 | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_17 & op(e1, e2) = all_57_19 &
% 196.24/31.15 | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_21 & op(e1, e0) =
% 196.24/31.15 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23 & op(e0, e1) = e0 & $i(all_57_16)
% 196.24/31.15 | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_17) & $i(all_57_18) &
% 196.24/31.15 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_20) &
% 196.24/31.15 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_22) &
% 196.24/31.15 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23))))
% 196.24/31.15 | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.24/31.15 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5264) gives:
% 196.24/31.15 | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.24/31.15 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 196.24/31.15 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.24/31.15 | | | | | | | | | | | | | | | | | | | | | | | | | | (5265) all_57_17 = e1 & ~ (all_57_0 = e3) & ~ (all_57_2
% 196.24/31.15 | | | | | | | | | | | | | | | | | | | | | | | | | | = e2) & ~ (all_57_4 = e1) & ~ (all_57_6 = e0)
% 196.24/31.15 | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_21 = e3) & op(e3, all_57_1) =
% 196.24/31.15 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_0 & op(e3, all_57_3) = all_57_2 & op(e3,
% 196.24/31.15 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_5) = all_57_4 & op(e3, all_57_7) =
% 196.24/31.15 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_6 & op(e3, e3) = all_57_1 & op(e3, e2) =
% 196.24/31.15 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 & op(e3, e1) = all_57_5 & op(e3, e0) =
% 196.24/31.15 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7 & op(e1, e3) = e1 & op(e1, e1) =
% 196.24/31.15 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_21 & $i(all_57_0) & $i(all_57_1) &
% 196.24/31.15 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_2) & $i(all_57_3) & $i(all_57_4) &
% 196.24/31.15 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 196.24/31.15 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21)
% 196.24/31.15 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.24/31.15 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5265) implies:
% 196.24/31.15 | | | | | | | | | | | | | | | | | | | | | | | | | | (5266) op(e1, e3) = e1
% 196.24/31.15 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.24/31.15 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (163), (5238), (5266), (function-axioms) are
% 196.24/31.15 | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1939.
% 196.24/31.15 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.24/31.15 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 196.24/31.15 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.24/31.15 | | | | | | | | | | | | | | | | | | | | | | | | | | (5267) (all_57_19 = e1 & ~ (all_57_8 = e3) & ~
% 196.24/31.15 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e2) & ~ (all_57_12 = e1) & ~
% 196.24/31.15 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e0) & ~ (all_57_21 = e2) & op(e2,
% 196.24/31.15 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_9) = all_57_8 & op(e2, all_57_11) =
% 196.24/31.15 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e2, all_57_13) = all_57_12 &
% 196.24/31.15 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_15) = all_57_14 & op(e2, e3) =
% 196.24/31.15 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_9 & op(e2, e2) = all_57_11 & op(e2, e1) =
% 196.24/31.15 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_13 & op(e2, e0) = all_57_15 & op(e1, e2)
% 196.24/31.15 | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & op(e1, e1) = all_57_21 & $i(all_57_8) &
% 196.24/31.15 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9) & $i(all_57_10) & $i(all_57_11) &
% 196.24/31.15 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & $i(all_57_13) & $i(all_57_14) &
% 196.24/31.15 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & $i(all_57_21)) | (op(e0, e0) =
% 196.24/31.15 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_31 & $i(all_57_31) & ((all_57_23 = e1 &
% 196.24/31.15 | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_21 = e0) & ~ (all_57_24 = e3) &
% 196.24/31.15 | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_26 = e2) & ~ (all_57_28 = e1) &
% 196.24/31.15 | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_30 = e0) & op(e1, e1) = all_57_21
% 196.24/31.15 | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e0) = e1 & op(e0, all_57_25) =
% 196.24/31.15 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_24 & op(e0, all_57_27) = all_57_26 &
% 196.24/31.15 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_29) = all_57_28 & op(e0,
% 196.24/31.15 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_31) = all_57_30 & op(e0, e3) =
% 196.24/31.15 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_27 & op(e0,
% 196.24/31.15 | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_29 & $i(all_57_21) &
% 196.24/31.15 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_24) & $i(all_57_25) &
% 196.24/31.15 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_27) &
% 196.24/31.15 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28) & $i(all_57_29) &
% 196.24/31.15 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_25 = e0 & ~
% 196.24/31.15 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_0 = e3) & ~ (all_57_2 = e2) & ~
% 196.24/31.15 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1) & ~ (all_57_6 = e0) & ~
% 196.24/31.15 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e3) & op(e3, all_57_1) =
% 196.24/31.15 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_0 & op(e3, all_57_3) = all_57_2 &
% 196.24/31.15 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, all_57_5) = all_57_4 & op(e3,
% 196.24/31.15 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7) = all_57_6 & op(e3, e3) =
% 196.24/31.15 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e2) = all_57_3 & op(e3,
% 196.24/31.15 | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_5 & op(e3, e0) = all_57_7 &
% 196.24/31.15 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_0) &
% 196.24/31.15 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_2) & $i(all_57_3) &
% 196.24/31.15 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4) & $i(all_57_5) & $i(all_57_6) &
% 196.24/31.15 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7)) | (all_57_27 = e0 & ~
% 196.24/31.15 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e3) & ~ (all_57_10 = e2) & ~
% 196.24/31.15 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e1) & ~ (all_57_14 = e0) & ~
% 196.24/31.15 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e2) & op(e2, all_57_9) =
% 196.24/31.15 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_8 & op(e2, all_57_11) = all_57_10 &
% 196.24/31.15 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_13) = all_57_12 & op(e2,
% 196.24/31.15 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15) = all_57_14 & op(e2, e3) =
% 196.24/31.15 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_9 & op(e2, e2) = all_57_11 & op(e2,
% 196.24/31.15 | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_13 & op(e2, e0) = all_57_15 &
% 196.24/31.15 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_8) &
% 196.24/31.15 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9) & $i(all_57_10) & $i(all_57_11)
% 196.24/31.15 | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_12) & $i(all_57_13) &
% 196.24/31.15 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & $i(all_57_15)) | (all_57_29
% 196.24/31.15 | | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & ~ (all_57_16 = e3) & ~ (all_57_18 =
% 196.24/31.15 | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_20 = e1) & ~ (all_57_22
% 196.24/31.15 | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_31 = e1) & op(e1,
% 196.24/31.15 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17) = all_57_16 & op(e1, all_57_19)
% 196.24/31.15 | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_18 & op(e1, all_57_21) = all_57_20
% 196.24/31.15 | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, all_57_23) = all_57_22 & op(e1, e3)
% 196.24/31.15 | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_17 & op(e1, e2) = all_57_19 &
% 196.24/31.15 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_21 & op(e1, e0) =
% 196.24/31.15 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23 & op(e0, e1) = e0 & $i(all_57_16)
% 196.24/31.15 | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_17) & $i(all_57_18) &
% 196.24/31.15 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_20) &
% 196.24/31.15 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_22) &
% 196.24/31.15 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23))))
% 196.24/31.15 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.24/31.15 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5267) gives:
% 196.24/31.15 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.24/31.15 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 196.24/31.15 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.24/31.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | (5268) all_57_19 = e1 & ~ (all_57_8 = e3) & ~
% 196.24/31.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e2) & ~ (all_57_12 = e1) & ~
% 196.24/31.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e0) & ~ (all_57_21 = e2) & op(e2,
% 196.24/31.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_9) = all_57_8 & op(e2, all_57_11) =
% 196.24/31.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e2, all_57_13) = all_57_12 & op(e2,
% 196.24/31.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15) = all_57_14 & op(e2, e3) = all_57_9 &
% 196.24/31.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_11 & op(e2, e1) = all_57_13 &
% 196.24/31.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_15 & op(e1, e2) = e1 & op(e1,
% 196.24/31.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_21 & $i(all_57_8) & $i(all_57_9) &
% 196.24/31.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & $i(all_57_11) & $i(all_57_12) &
% 196.24/31.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13) & $i(all_57_14) & $i(all_57_15) &
% 196.24/31.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21)
% 196.24/31.15 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.24/31.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5268) implies:
% 196.24/31.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | (5269) op(e1, e2) = e1
% 196.24/31.15 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.24/31.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (162), (5239), (5269), (function-axioms) are
% 196.24/31.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1480.
% 196.24/31.15 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.24/31.15 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 196.24/31.15 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.24/31.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | (5270) op(e0, e0) = all_57_31 & $i(all_57_31) &
% 196.24/31.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_23 = e1 & ~ (all_57_21 = e0) & ~
% 196.24/31.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 196.24/31.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) &
% 196.24/31.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_21 & op(e1, e0) = e1 &
% 196.24/31.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_25) = all_57_24 & op(e0,
% 196.24/31.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27) = all_57_26 & op(e0, all_57_29) =
% 196.24/31.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_28 & op(e0, all_57_31) = all_57_30 &
% 196.24/31.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_25 & op(e0, e2) =
% 196.24/31.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27 & op(e0, e1) = all_57_29 &
% 196.24/31.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_24) & $i(all_57_25)
% 196.24/31.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_26) & $i(all_57_27) &
% 196.24/31.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28) & $i(all_57_29) & $i(all_57_30))
% 196.24/31.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_25 = e0 & ~ (all_57_0 = e3) & ~
% 196.24/31.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e2) & ~ (all_57_4 = e1) & ~
% 196.24/31.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_6 = e0) & ~ (all_57_31 = e3) & op(e3,
% 196.24/31.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1) = all_57_0 & op(e3, all_57_3) =
% 196.24/31.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_2 & op(e3, all_57_5) = all_57_4 &
% 196.24/31.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, all_57_7) = all_57_6 & op(e3, e3) =
% 196.24/31.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e2) = all_57_3 & op(e3, e1)
% 196.24/31.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_5 & op(e3, e0) = all_57_7 & op(e0,
% 196.24/31.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e0 & $i(all_57_0) & $i(all_57_1) &
% 196.24/31.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_2) & $i(all_57_3) & $i(all_57_4) &
% 196.24/31.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_6) & $i(all_57_7)) |
% 196.24/31.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_27 = e0 & ~ (all_57_8 = e3) & ~
% 196.24/31.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e2) & ~ (all_57_12 = e1) & ~
% 196.24/31.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e0) & ~ (all_57_31 = e2) &
% 196.24/31.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_9) = all_57_8 & op(e2,
% 196.24/31.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_11) = all_57_10 & op(e2, all_57_13) =
% 196.24/31.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & op(e2, all_57_15) = all_57_14 &
% 196.24/31.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_9 & op(e2, e2) = all_57_11
% 196.24/31.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = all_57_13 & op(e2, e0) =
% 196.24/31.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15 & op(e0, e2) = e0 & $i(all_57_8) &
% 196.24/31.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9) & $i(all_57_10) & $i(all_57_11) &
% 196.24/31.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & $i(all_57_13) & $i(all_57_14)
% 196.24/31.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_15)) | (all_57_29 = e0 & ~
% 196.24/31.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_16 = e3) & ~ (all_57_18 = e2) & ~
% 196.24/31.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_22 = e0) & ~
% 196.24/31.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e1) & op(e1, all_57_17) =
% 196.24/31.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_16 & op(e1, all_57_19) = all_57_18 &
% 196.24/31.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_21) = all_57_20 & op(e1,
% 196.24/31.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23) = all_57_22 & op(e1, e3) =
% 196.24/31.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e1, e2) = all_57_19 & op(e1,
% 196.24/31.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_21 & op(e1, e0) = all_57_23 &
% 196.24/31.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_16) &
% 196.24/31.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_17) & $i(all_57_18) & $i(all_57_19)
% 196.24/31.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_20) & $i(all_57_21) &
% 196.24/31.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_23)))
% 196.24/31.15 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.24/31.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5270) implies:
% 196.24/31.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | (5271) (all_57_23 = e1 & ~ (all_57_21 = e0) & ~
% 196.24/31.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 196.24/31.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) & op(e1,
% 196.24/31.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_21 & op(e1, e0) = e1 & op(e0,
% 196.24/31.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25) = all_57_24 & op(e0, all_57_27) =
% 196.24/31.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e0, all_57_29) = all_57_28 &
% 196.24/31.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_31) = all_57_30 & op(e0, e3) =
% 196.24/31.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_27 & op(e0, e1)
% 196.24/31.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_29 & $i(all_57_21) & $i(all_57_24) &
% 196.24/31.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_25) & $i(all_57_26) & $i(all_57_27) &
% 196.24/31.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28) & $i(all_57_29) & $i(all_57_30)) |
% 196.24/31.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_25 = e0 & ~ (all_57_0 = e3) & ~
% 196.24/31.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e2) & ~ (all_57_4 = e1) & ~
% 196.24/31.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_6 = e0) & ~ (all_57_31 = e3) & op(e3,
% 196.24/31.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1) = all_57_0 & op(e3, all_57_3) =
% 196.24/31.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_2 & op(e3, all_57_5) = all_57_4 & op(e3,
% 196.24/31.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7) = all_57_6 & op(e3, e3) = all_57_1 &
% 196.24/31.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_3 & op(e3, e1) = all_57_5 &
% 196.24/31.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_7 & op(e0, e3) = e0 &
% 196.24/31.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_0) & $i(all_57_1) & $i(all_57_2) &
% 196.24/31.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_3) & $i(all_57_4) & $i(all_57_5) &
% 196.24/31.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_6) & $i(all_57_7)) | (all_57_27 = e0 &
% 196.24/31.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_8 = e3) & ~ (all_57_10 = e2) & ~
% 196.24/31.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e1) & ~ (all_57_14 = e0) & ~
% 196.24/31.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e2) & op(e2, all_57_9) = all_57_8 &
% 196.24/31.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_11) = all_57_10 & op(e2,
% 196.24/31.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_13) = all_57_12 & op(e2, all_57_15) =
% 196.24/31.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_14 & op(e2, e3) = all_57_9 & op(e2, e2) =
% 196.24/31.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_11 & op(e2, e1) = all_57_13 & op(e2, e0)
% 196.24/31.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_15 & op(e0, e2) = e0 & $i(all_57_8) &
% 196.24/31.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9) & $i(all_57_10) & $i(all_57_11) &
% 196.24/31.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & $i(all_57_13) & $i(all_57_14) &
% 196.24/31.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15)) | (all_57_29 = e0 & ~ (all_57_16
% 196.24/31.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_18 = e2) & ~ (all_57_20 =
% 196.24/31.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_22 = e0) & ~ (all_57_31 =
% 196.24/31.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & op(e1, all_57_17) = all_57_16 & op(e1,
% 196.24/31.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_19) = all_57_18 & op(e1, all_57_21) =
% 196.24/31.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20 & op(e1, all_57_23) = all_57_22 &
% 196.24/31.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_17 & op(e1, e2) = all_57_19
% 196.24/31.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = all_57_21 & op(e1, e0) =
% 196.24/31.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23 & op(e0, e1) = e0 & $i(all_57_16) &
% 196.24/31.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_17) & $i(all_57_18) & $i(all_57_19) &
% 196.24/31.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_20) & $i(all_57_21) & $i(all_57_22) &
% 196.24/31.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23))
% 196.24/31.15 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.24/31.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5271) gives:
% 196.24/31.15 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.24/31.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 196.24/31.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.24/31.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5272) (all_57_23 = e1 & ~ (all_57_21 = e0) & ~
% 196.24/31.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 196.24/31.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) & op(e1,
% 196.24/31.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_21 & op(e1, e0) = e1 & op(e0,
% 196.24/31.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25) = all_57_24 & op(e0, all_57_27) =
% 196.24/31.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e0, all_57_29) = all_57_28 &
% 196.24/31.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_31) = all_57_30 & op(e0, e3) =
% 196.24/31.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_27 & op(e0, e1)
% 196.24/31.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_29 & $i(all_57_21) & $i(all_57_24) &
% 196.24/31.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_25) & $i(all_57_26) & $i(all_57_27) &
% 196.24/31.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28) & $i(all_57_29) & $i(all_57_30)) |
% 196.24/31.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_25 = e0 & ~ (all_57_0 = e3) & ~
% 196.24/31.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e2) & ~ (all_57_4 = e1) & ~
% 196.24/31.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_6 = e0) & ~ (all_57_31 = e3) & op(e3,
% 196.24/31.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1) = all_57_0 & op(e3, all_57_3) =
% 196.24/31.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_2 & op(e3, all_57_5) = all_57_4 & op(e3,
% 196.24/31.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7) = all_57_6 & op(e3, e3) = all_57_1 &
% 196.24/31.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_3 & op(e3, e1) = all_57_5 &
% 196.24/31.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_7 & op(e0, e3) = e0 &
% 196.24/31.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_0) & $i(all_57_1) & $i(all_57_2) &
% 196.24/31.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_3) & $i(all_57_4) & $i(all_57_5) &
% 196.24/31.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_6) & $i(all_57_7))
% 196.24/31.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.24/31.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (159), (160), (5240), (5257), (5272),
% 196.24/31.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 196.24/31.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1890.
% 196.24/31.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.24/31.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 196.24/31.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.24/31.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5273) (all_57_27 = e0 & ~ (all_57_8 = e3) & ~
% 196.24/31.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e2) & ~ (all_57_12 = e1) & ~
% 196.24/31.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e0) & ~ (all_57_31 = e2) & op(e2,
% 196.24/31.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_9) = all_57_8 & op(e2, all_57_11) =
% 196.24/31.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e2, all_57_13) = all_57_12 &
% 196.24/31.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_15) = all_57_14 & op(e2, e3) =
% 196.24/31.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_9 & op(e2, e2) = all_57_11 & op(e2, e1) =
% 196.24/31.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_13 & op(e2, e0) = all_57_15 & op(e0, e2)
% 196.24/31.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & $i(all_57_8) & $i(all_57_9) &
% 196.24/31.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & $i(all_57_11) & $i(all_57_12) &
% 196.24/31.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13) & $i(all_57_14) & $i(all_57_15)) |
% 196.24/31.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_29 = e0 & ~ (all_57_16 = e3) & ~
% 196.24/31.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_18 = e2) & ~ (all_57_20 = e1) & ~
% 196.24/31.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_22 = e0) & ~ (all_57_31 = e1) & op(e1,
% 196.24/31.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17) = all_57_16 & op(e1, all_57_19) =
% 196.24/31.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_18 & op(e1, all_57_21) = all_57_20 &
% 196.24/31.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_23) = all_57_22 & op(e1, e3) =
% 196.24/31.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e1, e2) = all_57_19 & op(e1, e1)
% 196.24/31.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_21 & op(e1, e0) = all_57_23 & op(e0,
% 196.24/31.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0 & $i(all_57_16) & $i(all_57_17) &
% 196.24/31.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_19) & $i(all_57_20) &
% 196.24/31.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_22) & $i(all_57_23))
% 196.24/31.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.24/31.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (158), (5198), (5241), (5273), (function-axioms)
% 196.24/31.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1374.
% 196.24/31.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.24/31.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 196.24/31.16 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.24/31.16 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 196.24/31.16 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.24/31.16 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 196.24/31.16 | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.24/31.16 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 196.24/31.16 | | | | | | | | | | | | | | | | | | | | | | | |
% 196.24/31.16 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 196.24/31.16 | | | | | | | | | | | | | | | | | | | | | | |
% 196.24/31.16 | | | | | | | | | | | | | | | | | | | | | | End of split
% 196.24/31.16 | | | | | | | | | | | | | | | | | | | | | |
% 196.24/31.16 | | | | | | | | | | | | | | | | | | | | | End of split
% 196.24/31.16 | | | | | | | | | | | | | | | | | | | | |
% 196.24/31.16 | | | | | | | | | | | | | | | | | | | | End of split
% 196.24/31.16 | | | | | | | | | | | | | | | | | | | |
% 196.24/31.16 | | | | | | | | | | | | | | | | | | | Case 2:
% 196.24/31.16 | | | | | | | | | | | | | | | | | | | |
% 196.24/31.16 | | | | | | | | | | | | | | | | | | | | (5274) all_40_2 = e1
% 196.24/31.16 | | | | | | | | | | | | | | | | | | | | (5275) op(e1, e0) = all_40_1 & $i(all_40_1) & ( ~
% 196.24/31.16 | | | | | | | | | | | | | | | | | | | | (all_40_1 = e3) | ( ~ (all_40_0 = e2) & op(e3,
% 196.24/31.16 | | | | | | | | | | | | | | | | | | | | e1) = all_40_0 & $i(all_40_0)))
% 196.24/31.16 | | | | | | | | | | | | | | | | | | | |
% 196.24/31.16 | | | | | | | | | | | | | | | | | | | | ALPHA: (5275) implies:
% 196.24/31.16 | | | | | | | | | | | | | | | | | | | | (5276) op(e1, e0) = all_40_1
% 196.24/31.16 | | | | | | | | | | | | | | | | | | | |
% 196.24/31.16 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (307), (5274) imply:
% 196.24/31.16 | | | | | | | | | | | | | | | | | | | | (5277) all_10_2 = e1
% 196.24/31.16 | | | | | | | | | | | | | | | | | | | |
% 196.24/31.16 | | | | | | | | | | | | | | | | | | | | SIMP: (5277) implies:
% 196.24/31.16 | | | | | | | | | | | | | | | | | | | | (5278) all_10_2 = e1
% 196.24/31.16 | | | | | | | | | | | | | | | | | | | |
% 196.24/31.16 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (297), (5278) imply:
% 196.24/31.16 | | | | | | | | | | | | | | | | | | | | (5279) all_46_2 = e1
% 196.24/31.16 | | | | | | | | | | | | | | | | | | | |
% 196.24/31.16 | | | | | | | | | | | | | | | | | | | | REDUCE: (368), (5278) imply:
% 196.24/31.16 | | | | | | | | | | | | | | | | | | | | (5280) ~ (all_52_11 = e1)
% 196.24/31.16 | | | | | | | | | | | | | | | | | | | |
% 196.24/31.16 | | | | | | | | | | | | | | | | | | | | REDUCE: (376), (5278) imply:
% 196.24/31.16 | | | | | | | | | | | | | | | | | | | | (5281) ~ (e3 = e1)
% 196.24/31.16 | | | | | | | | | | | | | | | | | | | |
% 196.24/31.16 | | | | | | | | | | | | | | | | | | | | REDUCE: (5227), (5278) imply:
% 196.24/31.16 | | | | | | | | | | | | | | | | | | | | (5282) ~ (e2 = e1)
% 196.24/31.16 | | | | | | | | | | | | | | | | | | | |
% 196.24/31.16 | | | | | | | | | | | | | | | | | | | | REDUCE: (45), (5278) imply:
% 196.24/31.16 | | | | | | | | | | | | | | | | | | | | (5283) op(e0, e0) = e1
% 196.24/31.16 | | | | | | | | | | | | | | | | | | | |
% 196.24/31.16 | | | | | | | | | | | | | | | | | | | | BETA: splitting (100) gives:
% 196.24/31.16 | | | | | | | | | | | | | | | | | | | |
% 196.24/31.16 | | | | | | | | | | | | | | | | | | | | Case 1:
% 196.24/31.16 | | | | | | | | | | | | | | | | | | | | |
% 196.24/31.16 | | | | | | | | | | | | | | | | | | | | | (5284) ~ (all_46_2 = e1)
% 196.24/31.16 | | | | | | | | | | | | | | | | | | | | |
% 196.24/31.16 | | | | | | | | | | | | | | | | | | | | | REDUCE: (5279), (5284) imply:
% 196.24/31.16 | | | | | | | | | | | | | | | | | | | | | (5285) $false
% 196.24/31.16 | | | | | | | | | | | | | | | | | | | | |
% 196.24/31.16 | | | | | | | | | | | | | | | | | | | | | CLOSE: (5285) is inconsistent.
% 196.24/31.16 | | | | | | | | | | | | | | | | | | | | |
% 196.24/31.16 | | | | | | | | | | | | | | | | | | | | Case 2:
% 196.24/31.16 | | | | | | | | | | | | | | | | | | | | |
% 196.24/31.16 | | | | | | | | | | | | | | | | | | | | | (5286) op(e1, e0) = all_46_1 & $i(all_46_1) & ( ~
% 196.24/31.16 | | | | | | | | | | | | | | | | | | | | | (all_46_1 = e2) | ( ~ (all_46_0 = e3) & op(e2,
% 196.24/31.16 | | | | | | | | | | | | | | | | | | | | | e1) = all_46_0 & $i(all_46_0)))
% 196.24/31.16 | | | | | | | | | | | | | | | | | | | | |
% 196.24/31.16 | | | | | | | | | | | | | | | | | | | | | ALPHA: (5286) implies:
% 196.24/31.16 | | | | | | | | | | | | | | | | | | | | | (5287) op(e1, e0) = all_46_1
% 196.24/31.16 | | | | | | | | | | | | | | | | | | | | |
% 196.24/31.16 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (231) gives:
% 196.24/31.16 | | | | | | | | | | | | | | | | | | | | |
% 196.24/31.16 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 196.24/31.16 | | | | | | | | | | | | | | | | | | | | | |
% 196.24/31.16 | | | | | | | | | | | | | | | | | | | | | | (5288) (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_2 = e1
% 196.24/31.16 | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e1)
% 196.24/31.16 | | | | | | | | | | | | | | | | | | | | | |
% 196.24/31.16 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5288) gives:
% 196.24/31.16 | | | | | | | | | | | | | | | | | | | | | |
% 196.24/31.16 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 196.24/31.16 | | | | | | | | | | | | | | | | | | | | | | |
% 196.24/31.16 | | | | | | | | | | | | | | | | | | | | | | | (5289) all_56_0 = e1 & op(e3, e3) = e1
% 196.24/31.16 | | | | | | | | | | | | | | | | | | | | | | |
% 196.24/31.16 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5289) implies:
% 196.24/31.16 | | | | | | | | | | | | | | | | | | | | | | | (5290) op(e3, e3) = e1
% 196.24/31.16 | | | | | | | | | | | | | | | | | | | | | | |
% 196.24/31.16 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (5145), (5290), (function-axioms) are
% 196.24/31.16 | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1966.
% 196.24/31.16 | | | | | | | | | | | | | | | | | | | | | | |
% 196.24/31.16 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 196.24/31.16 | | | | | | | | | | | | | | | | | | | | | | |
% 196.24/31.16 | | | | | | | | | | | | | | | | | | | | | | | (5291) all_56_2 = e1 & op(e2, e3) = e1
% 196.24/31.16 | | | | | | | | | | | | | | | | | | | | | | |
% 196.24/31.16 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5291) implies:
% 196.24/31.16 | | | | | | | | | | | | | | | | | | | | | | | (5292) all_56_2 = e1
% 196.24/31.16 | | | | | | | | | | | | | | | | | | | | | | | (5293) op(e2, e3) = e1
% 196.24/31.16 | | | | | | | | | | | | | | | | | | | | | | |
% 196.24/31.16 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (232) gives:
% 196.24/31.16 | | | | | | | | | | | | | | | | | | | | | | |
% 196.24/31.16 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 196.24/31.16 | | | | | | | | | | | | | | | | | | | | | | | |
% 196.24/31.16 | | | | | | | | | | | | | | | | | | | | | | | | (5294) (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_1 = e1
% 196.24/31.16 | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e1)
% 196.24/31.16 | | | | | | | | | | | | | | | | | | | | | | | |
% 196.24/31.16 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5294) gives:
% 196.24/31.16 | | | | | | | | | | | | | | | | | | | | | | | |
% 196.24/31.16 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 196.24/31.16 | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.24/31.16 | | | | | | | | | | | | | | | | | | | | | | | | | (5295) all_56_0 = e1 & op(e3, e3) = e1
% 196.24/31.16 | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.24/31.16 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5295) implies:
% 196.24/31.16 | | | | | | | | | | | | | | | | | | | | | | | | | (5296) op(e3, e3) = e1
% 196.24/31.16 | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.24/31.16 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (5145), (5296), (function-axioms) are
% 196.24/31.16 | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1966.
% 196.24/31.16 | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.24/31.16 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 196.24/31.16 | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.24/31.16 | | | | | | | | | | | | | | | | | | | | | | | | | (5297) all_56_1 = e1 & op(e3, e2) = e1
% 196.24/31.16 | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.24/31.16 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (45), (79),
% 196.24/31.16 | | | | | | | | | | | | | | | | | | | | | | | | | (91), (110), (112), (113), (117), (118), (120),
% 196.24/31.16 | | | | | | | | | | | | | | | | | | | | | | | | | (121), (123), (125), (126), (133), (134), (157),
% 196.24/31.16 | | | | | | | | | | | | | | | | | | | | | | | | | (158), (159), (160), (162), (163), (164), (165),
% 196.24/31.16 | | | | | | | | | | | | | | | | | | | | | | | | | (167), (168), (169), (170), (189), (190), (193),
% 196.24/31.16 | | | | | | | | | | | | | | | | | | | | | | | | | (194), (197), (198), (201), (202), (206), (207),
% 196.24/31.16 | | | | | | | | | | | | | | | | | | | | | | | | | (208), (209), (210), (211), (212), (213), (215),
% 196.24/31.16 | | | | | | | | | | | | | | | | | | | | | | | | | (216), (217), (219), (220), (222), (223), (224),
% 196.24/31.16 | | | | | | | | | | | | | | | | | | | | | | | | | (225), (226), (227), (228), (229), (230), (231),
% 196.24/31.16 | | | | | | | | | | | | | | | | | | | | | | | | | (232), (234), (235), (236), (238), (239), (246),
% 196.24/31.16 | | | | | | | | | | | | | | | | | | | | | | | | | (247), (250), (260), (261), (270), (271), (301),
% 196.24/31.16 | | | | | | | | | | | | | | | | | | | | | | | | | (307), (335), (350), (360), (361), (362), (363),
% 196.24/31.16 | | | | | | | | | | | | | | | | | | | | | | | | | (367), (369), (371), (372), (375), (376), (5128),
% 196.24/31.16 | | | | | | | | | | | | | | | | | | | | | | | | | (5131), (5132), (5133), (5134), (5135), (5136),
% 196.24/31.16 | | | | | | | | | | | | | | | | | | | | | | | | | (5144), (5145), (5156), (5158), (5193), (5197),
% 196.24/31.16 | | | | | | | | | | | | | | | | | | | | | | | | | (5198), (5199), (5200), (5201), (5204), (5224),
% 196.24/31.16 | | | | | | | | | | | | | | | | | | | | | | | | | (5234), (5240), (5241), (5276), (5280), (5283),
% 196.24/31.16 | | | | | | | | | | | | | | | | | | | | | | | | | (5287), (5292), (5293), (5297), (function-axioms)
% 196.24/31.16 | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1003.
% 196.24/31.16 | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.24/31.16 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 196.24/31.16 | | | | | | | | | | | | | | | | | | | | | | | |
% 196.24/31.16 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 196.24/31.16 | | | | | | | | | | | | | | | | | | | | | | | |
% 196.24/31.16 | | | | | | | | | | | | | | | | | | | | | | | | (5298) (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_9 = e1
% 196.24/31.16 | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e1)
% 196.24/31.16 | | | | | | | | | | | | | | | | | | | | | | | |
% 196.24/31.16 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5298) gives:
% 196.24/31.16 | | | | | | | | | | | | | | | | | | | | | | | |
% 196.24/31.16 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 196.24/31.16 | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.24/31.16 | | | | | | | | | | | | | | | | | | | | | | | | | (5299) all_56_4 = e1 & op(e3, e1) = e1
% 196.24/31.16 | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.24/31.16 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5299) implies:
% 196.24/31.16 | | | | | | | | | | | | | | | | | | | | | | | | | (5300) all_56_4 = e1
% 196.24/31.16 | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.24/31.16 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (226) gives:
% 196.24/31.16 | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.24/31.16 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 196.24/31.16 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.24/31.16 | | | | | | | | | | | | | | | | | | | | | | | | | | (5301) (all_56_1 = e1 & op(e3, e2) = e1) | (all_56_3 = e1
% 196.24/31.16 | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1)
% 196.24/31.16 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.24/31.16 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5301) gives:
% 196.24/31.16 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.24/31.16 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 196.24/31.16 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.24/31.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | (5302) all_56_1 = e1 & op(e3, e2) = e1
% 196.24/31.16 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.24/31.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (45), (79),
% 196.24/31.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | (91), (110), (112), (113), (117), (118), (120),
% 196.24/31.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | (121), (123), (125), (126), (133), (134), (157),
% 196.24/31.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | (158), (159), (160), (162), (163), (164), (165),
% 196.24/31.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | (167), (168), (169), (170), (189), (190), (193),
% 196.24/31.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | (194), (197), (198), (201), (202), (206), (207),
% 196.24/31.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | (208), (209), (210), (211), (212), (213), (215),
% 196.24/31.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | (216), (217), (219), (220), (222), (223), (224),
% 196.24/31.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | (225), (226), (227), (228), (229), (230), (231),
% 196.24/31.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | (232), (234), (235), (236), (238), (239), (246),
% 196.24/31.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | (247), (250), (260), (261), (270), (271), (301),
% 196.24/31.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | (307), (335), (350), (360), (361), (362), (363),
% 196.24/31.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | (367), (369), (371), (372), (375), (376), (5128),
% 196.24/31.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | (5131), (5132), (5133), (5134), (5135), (5136),
% 196.24/31.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | (5144), (5145), (5156), (5158), (5193), (5197),
% 196.24/31.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | (5198), (5199), (5200), (5201), (5204), (5224),
% 196.24/31.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | (5234), (5240), (5241), (5276), (5280), (5283),
% 196.24/31.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | (5287), (5292), (5293), (5302), (function-axioms)
% 196.24/31.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1003.
% 196.24/31.16 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.24/31.16 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 196.24/31.16 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.24/31.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | (5303) all_56_3 = e1 & op(e2, e2) = e1
% 196.24/31.16 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.24/31.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5303) implies:
% 196.24/31.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | (5304) op(e2, e2) = e1
% 196.24/31.16 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.24/31.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5204), (5304), (function-axioms) are
% 196.24/31.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1512.
% 196.24/31.16 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.24/31.16 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 196.24/31.16 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.24/31.16 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 196.24/31.16 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.24/31.16 | | | | | | | | | | | | | | | | | | | | | | | | | | (5305) (all_56_7 = e1 & op(e1, e2) = e1) | (all_56_13 =
% 196.24/31.16 | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e2) = e1)
% 196.24/31.16 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.24/31.16 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5305) gives:
% 196.24/31.16 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.24/31.16 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 196.24/31.16 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.24/31.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | (5306) all_56_7 = e1 & op(e1, e2) = e1
% 196.24/31.16 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.24/31.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5306) implies:
% 196.24/31.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | (5307) op(e1, e2) = e1
% 196.24/31.16 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.24/31.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (162), (5239), (5307), (function-axioms) are
% 196.24/31.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1480.
% 196.24/31.16 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.24/31.16 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 196.24/31.16 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.24/31.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | (5308) all_56_13 = e1 & op(e0, e2) = e1
% 196.24/31.16 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.24/31.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5308) implies:
% 196.24/31.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | (5309) all_56_13 = e1
% 196.24/31.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | (5310) op(e0, e2) = e1
% 196.24/31.16 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.24/31.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (227) gives:
% 196.24/31.16 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.24/31.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 196.24/31.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.24/31.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5311) (all_56_1 = e2 & op(e3, e2) = e2) | (all_56_3 = e2
% 196.24/31.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e2)
% 196.24/31.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.24/31.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (170), (5134), (5204), (5311),
% 196.24/31.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 196.24/31.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1440.
% 196.24/31.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.24/31.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 196.24/31.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.24/31.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5312) (all_56_7 = e2 & op(e1, e2) = e2) | (all_56_13 =
% 196.24/31.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e2)
% 196.24/31.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.24/31.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5312) gives:
% 196.24/31.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.24/31.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 196.24/31.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.24/31.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5313) all_56_7 = e2 & op(e1, e2) = e2
% 196.24/31.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.24/31.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5313) implies:
% 196.24/31.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5314) all_56_7 = e2
% 196.24/31.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.24/31.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (230) gives:
% 196.24/31.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.24/31.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 196.24/31.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.24/31.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5315) (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_1 = e0
% 196.24/31.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e0)
% 196.24/31.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.24/31.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (226), (228),
% 196.24/31.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5145), (5204), (5314), (5315), (function-axioms)
% 196.24/31.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1002.
% 196.24/31.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.24/31.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 196.24/31.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.24/31.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5316) (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_9 = e0
% 196.24/31.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e0)
% 196.24/31.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.24/31.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5316) gives:
% 196.24/31.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.24/31.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 196.24/31.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.24/31.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5317) all_56_4 = e0 & op(e3, e1) = e0
% 196.24/31.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.24/31.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5317) implies:
% 196.24/31.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5318) all_56_4 = e0
% 196.24/31.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.24/31.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5300), (5318) imply:
% 196.24/31.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5319) e1 = e0
% 196.24/31.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.24/31.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5292), (5319) imply:
% 196.24/31.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5320) all_56_2 = e0
% 196.24/31.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.24/31.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (158), (162), (222),
% 196.24/31.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (223), (224), (225), (226), (227), (228), (5197),
% 196.24/31.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5198), (5204), (5320), (function-axioms) are
% 196.24/31.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1485.
% 196.24/31.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.24/31.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 196.24/31.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.24/31.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5321) all_56_9 = e0 & op(e3, e0) = e0
% 196.24/31.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.24/31.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5321) implies:
% 196.24/31.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5322) all_56_9 = e0
% 196.24/31.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.24/31.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (236) gives:
% 196.24/31.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.24/31.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 196.24/31.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.24/31.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5323) (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_1 = e3
% 196.24/31.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e3)
% 196.24/31.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.24/31.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5323) gives:
% 196.24/31.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.24/31.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 196.24/31.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.24/31.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5324) all_56_0 = e3 & op(e3, e3) = e3
% 196.24/31.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.24/31.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (5144), (5324) are inconsistent by sub-proof
% 196.24/31.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1645.
% 196.24/31.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.24/31.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 196.24/31.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.24/31.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5325) all_56_1 = e3 & op(e3, e2) = e3
% 196.24/31.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.24/31.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5325) implies:
% 196.24/31.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5326) all_56_1 = e3
% 196.24/31.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.24/31.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (217) gives:
% 196.24/31.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.24/31.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 196.24/31.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.24/31.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5327) (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_5 = e0
% 196.24/31.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e0)
% 196.24/31.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.24/31.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5327) gives:
% 196.24/31.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.24/31.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 196.24/31.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.24/31.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5328) all_56_4 = e0 & op(e3, e1) = e0
% 196.24/31.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.24/31.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5328) implies:
% 196.24/31.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5329) all_56_4 = e0
% 196.24/31.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.24/31.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (8), (232), (5145), (5322), (5326),
% 196.24/31.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5329), (function-axioms) are inconsistent by
% 196.24/31.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1000.
% 196.24/31.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.24/31.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 196.24/31.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.24/31.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5330) all_56_5 = e0 & op(e2, e1) = e0
% 196.24/31.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.24/31.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5330) implies:
% 196.24/31.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5331) all_56_5 = e0
% 196.24/31.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.24/31.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (158), (162), (222),
% 196.24/31.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (223), (224), (225), (226), (227), (228), (5197),
% 196.24/31.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5198), (5204), (5331), (function-axioms) are
% 196.24/31.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1465.
% 196.24/31.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.24/31.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 196.24/31.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.24/31.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 196.24/31.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.24/31.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5332) (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_14 =
% 196.24/31.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0)
% 196.24/31.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.24/31.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5332) gives:
% 196.24/31.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.24/31.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 196.24/31.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.24/31.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5333) all_56_8 = e0 & op(e1, e1) = e0
% 196.24/31.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.24/31.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5333) implies:
% 196.24/31.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5334) op(e1, e1) = e0
% 196.24/31.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.24/31.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5241), (5334), (function-axioms) are
% 196.24/31.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1956.
% 196.24/31.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.24/31.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 196.24/31.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.24/31.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5335) all_56_14 = e0 & op(e0, e1) = e0
% 196.24/31.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.24/31.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5335) implies:
% 196.24/31.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5336) all_56_14 = e0
% 196.24/31.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5337) op(e0, e1) = e0
% 196.24/31.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.24/31.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (219) gives:
% 196.24/31.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.24/31.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 196.24/31.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.24/31.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5338) (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2
% 196.24/31.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e2)
% 196.24/31.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.24/31.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5338) gives:
% 196.24/31.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.24/31.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 196.24/31.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.24/31.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5339) all_56_4 = e2 & op(e3, e1) = e2
% 196.24/31.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.24/31.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5339) implies:
% 196.24/31.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5340) op(e3, e1) = e2
% 196.24/31.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.24/31.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (169), (5135), (5340), (function-axioms) are
% 196.24/31.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1071.
% 196.24/31.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.24/31.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 196.24/31.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.24/31.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5341) all_56_5 = e2 & op(e2, e1) = e2
% 196.24/31.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.24/31.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5341) implies:
% 196.24/31.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5342) all_56_5 = e2
% 196.24/31.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.24/31.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (224) gives:
% 196.24/31.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.24/31.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 196.24/31.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.24/31.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5343) (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3
% 196.24/31.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e3)
% 196.24/31.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.24/31.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5343) gives:
% 196.24/31.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.24/31.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 196.24/31.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.24/31.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5344) all_56_2 = e3 & op(e2, e3) = e3
% 196.24/31.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.24/31.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5344) implies:
% 196.24/31.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5345) all_56_2 = e3
% 196.24/31.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.24/31.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5292), (5345) imply:
% 196.24/31.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5346) e3 = e1
% 196.24/31.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.24/31.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5346) implies:
% 196.24/31.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5347) e3 = e1
% 196.24/31.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.24/31.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5326), (5347) imply:
% 196.24/31.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5348) all_56_1 = e1
% 196.24/31.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.61/31.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (45), (79),
% 196.61/31.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (91), (112), (113), (118), (125), (126), (133),
% 196.61/31.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (157), (158), (159), (160), (162), (163), (164),
% 196.61/31.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (165), (167), (168), (169), (170), (189), (194),
% 196.61/31.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (201), (206), (207), (208), (209), (210), (211),
% 196.61/31.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (212), (215), (217), (219), (222), (223), (224),
% 196.61/31.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (225), (226), (227), (228), (229), (230), (231),
% 196.61/31.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (232), (234), (236), (238), (239), (246), (270),
% 196.61/31.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (301), (307), (335), (350), (360), (361), (362),
% 196.61/31.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (363), (367), (369), (371), (372), (375), (376),
% 196.61/31.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5131), (5132), (5133), (5134), (5144), (5145),
% 196.61/31.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5197), (5198), (5204), (5234), (5241), (5283),
% 196.61/31.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5292), (5309), (5348), (function-axioms) are
% 196.61/31.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1027.
% 196.61/31.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.61/31.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 196.61/31.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.61/31.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5349) all_56_3 = e3 & op(e2, e2) = e3
% 196.61/31.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.61/31.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5349) implies:
% 196.61/31.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5350) op(e2, e2) = e3
% 196.61/31.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.61/31.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (5204), (5350), (function-axioms) are
% 196.61/31.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1661.
% 196.61/31.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.61/31.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 196.61/31.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.61/31.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 196.61/31.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.61/31.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5351) (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 =
% 196.61/31.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e0) = e3)
% 196.61/31.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.61/31.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5351) gives:
% 196.61/31.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.61/31.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 196.61/31.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.61/31.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5352) all_56_5 = e3 & op(e2, e1) = e3
% 196.61/31.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.61/31.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5352) implies:
% 196.61/31.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5353) all_56_5 = e3
% 196.61/31.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.61/31.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (9), (219), (5241), (5300), (5336),
% 196.61/31.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5353), (function-axioms) are inconsistent by
% 196.61/31.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #999.
% 196.61/31.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.61/31.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 196.61/31.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.61/31.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5354) all_56_10 = e3 & op(e2, e0) = e3
% 196.61/31.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.61/31.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5354) implies:
% 196.61/31.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5355) all_56_10 = e3
% 196.61/31.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.61/31.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (206) gives:
% 196.61/31.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.61/31.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 196.61/31.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.61/31.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5356) all_56_15 = e0 & op(e0, e0) = e0
% 196.61/31.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.61/31.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5356) implies:
% 196.61/31.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5357) op(e0, e0) = e0
% 196.61/31.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.61/31.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5283), (5357), (function-axioms) are
% 196.61/31.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1708.
% 196.61/31.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.61/31.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 196.61/31.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.61/31.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5358) ((all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 =
% 196.61/31.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_56_11 = e0 &
% 196.61/31.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e0)) & ((all_56_12 = e0 & op(e0,
% 196.61/31.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e0) | (all_56_13 = e0 & op(e0, e2) =
% 196.61/31.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) | (all_56_14 = e0 & op(e0, e1) = e0))
% 196.61/31.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.61/31.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5358) implies:
% 196.61/31.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5359) (all_56_12 = e0 & op(e0, e3) = e0) | (all_56_13 =
% 196.61/31.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0) | (all_56_14 = e0 & op(e0,
% 196.61/31.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0)
% 196.61/31.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.61/31.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (211) gives:
% 196.61/31.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.61/31.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 196.61/31.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.61/31.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5360) (all_56_9 = e2 & op(e3, e0) = e2) | (all_56_10 =
% 196.61/31.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2)
% 196.61/31.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.61/31.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5360) gives:
% 196.61/31.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.61/31.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 196.61/31.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.61/31.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5361) all_56_9 = e2 & op(e3, e0) = e2
% 196.61/31.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.61/31.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (168), (5136), (5361), (function-axioms) are
% 196.61/31.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1760.
% 196.61/31.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.61/31.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 196.61/31.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.61/31.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5362) all_56_10 = e2 & op(e2, e0) = e2
% 196.61/31.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.61/31.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5362) implies:
% 196.61/31.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5363) all_56_10 = e2
% 196.61/31.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.61/31.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (158), (162), (217),
% 196.61/31.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (219), (222), (223), (224), (225), (226), (227),
% 196.61/31.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (228), (5197), (5198), (5204), (5241), (5292),
% 196.61/31.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5300), (5363), (function-axioms) are inconsistent
% 196.61/31.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #998.
% 196.61/31.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.61/31.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 196.61/31.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.61/31.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 196.61/31.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.61/31.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5364) (all_56_11 = e2 & op(e1, e0) = e2) | (all_56_15 =
% 196.61/31.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = e2)
% 196.61/31.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.61/31.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5364) gives:
% 196.61/31.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.61/31.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 196.61/31.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.61/31.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5365) all_56_11 = e2 & op(e1, e0) = e2
% 196.61/31.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.61/31.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5365) implies:
% 196.61/31.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5366) all_56_11 = e2
% 196.61/31.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.61/31.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (208) gives:
% 196.61/31.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.61/31.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 196.61/31.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.61/31.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5367) (all_56_12 = e2 & op(e0, e3) = e2) | (all_56_13 =
% 196.61/31.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e2)
% 196.61/31.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.61/31.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5367) gives:
% 196.61/31.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.61/31.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 196.61/31.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.61/31.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5368) all_56_12 = e2 & op(e0, e3) = e2
% 196.61/31.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.61/31.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (159), (5133), (5368), (function-axioms) are
% 196.61/31.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1847.
% 196.61/31.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.61/31.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 196.61/31.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.61/31.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5369) all_56_13 = e2 & op(e0, e2) = e2
% 196.61/31.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.61/31.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5369) implies:
% 196.61/31.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5370) all_56_13 = e2
% 196.61/31.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.61/31.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5309), (5370) imply:
% 196.61/31.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5371) e2 = e1
% 196.61/31.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.61/31.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5342), (5371) imply:
% 196.61/31.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5372) all_56_5 = e1
% 196.61/31.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.61/31.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (223) gives:
% 196.61/31.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.61/31.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 196.61/31.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.61/31.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5373) (all_56_2 = e2 & op(e2, e3) = e2) | (all_56_3 = e2
% 196.61/31.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e2)
% 196.61/31.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.61/31.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (167), (5131), (5204), (5373),
% 196.61/31.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 196.61/31.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #997.
% 196.61/31.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.61/31.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 196.61/31.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.61/31.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5374) (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_10 =
% 196.61/31.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2)
% 196.61/31.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.61/31.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5374) gives:
% 196.61/31.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.61/31.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 196.61/31.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.61/31.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.61/31.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (5342), (5372) are inconsistent by sub-proof
% 196.61/31.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1454.
% 196.61/31.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.61/31.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 196.61/31.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.61/31.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5375) all_56_10 = e2 & op(e2, e0) = e2
% 196.61/31.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.61/31.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5375) implies:
% 196.61/31.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5376) all_56_10 = e2
% 196.61/31.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.61/31.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (158), (162), (217),
% 196.61/31.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (219), (222), (223), (224), (225), (226), (227),
% 196.61/31.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (228), (5197), (5198), (5204), (5241), (5292),
% 196.61/31.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5300), (5376), (function-axioms) are inconsistent
% 196.61/31.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #998.
% 196.61/31.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.61/31.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 196.61/31.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.61/31.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 196.61/31.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.61/31.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 196.61/31.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.61/31.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 196.61/31.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.61/31.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5377) (all_56_14 = e2 & op(e0, e1) = e2) | (all_56_15 =
% 196.61/31.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = e2)
% 196.61/31.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.61/31.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5377) gives:
% 196.61/31.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.61/31.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 196.61/31.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.61/31.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5378) all_56_14 = e2 & op(e0, e1) = e2
% 196.61/31.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.61/31.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5378) implies:
% 196.61/31.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5379) all_56_14 = e2
% 196.61/31.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5380) op(e0, e1) = e2
% 196.61/31.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.61/31.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (45), (206), (209),
% 196.61/31.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (211), (212), (376), (5283), (5309), (5310),
% 196.61/31.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5355), (5359), (5366), (5379), (5380),
% 196.61/31.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 196.61/31.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1618.
% 196.61/31.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.61/31.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 196.61/31.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.61/31.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5381) all_56_15 = e2 & op(e0, e0) = e2
% 196.61/31.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.61/31.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5381) implies:
% 196.61/31.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5382) op(e0, e0) = e2
% 196.61/31.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.61/31.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (5283), (5382), (function-axioms) are
% 196.61/31.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1843.
% 196.61/31.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.61/31.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 196.61/31.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.61/31.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 196.61/31.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.61/31.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 196.61/31.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.61/31.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5383) all_56_15 = e2 & op(e0, e0) = e2
% 196.61/31.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.61/31.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5383) implies:
% 196.61/31.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5384) op(e0, e0) = e2
% 196.61/31.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.61/31.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (5283), (5384), (function-axioms) are
% 196.61/31.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1843.
% 196.61/31.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.61/31.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 196.61/31.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.61/31.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 196.61/31.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.61/31.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 196.61/31.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.61/31.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 196.61/31.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.61/31.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 196.61/31.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.61/31.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 196.61/31.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.61/31.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 196.61/31.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.61/31.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5385) (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 =
% 196.61/31.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e1) = e2)
% 196.61/31.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.61/31.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5385) gives:
% 196.61/31.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.61/31.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 196.61/31.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.61/31.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5386) all_56_8 = e2 & op(e1, e1) = e2
% 196.61/31.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.61/31.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5386) implies:
% 196.61/31.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5387) op(e1, e1) = e2
% 196.61/31.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.61/31.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (335), (372), (375), (5234), (5387),
% 196.61/31.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 196.61/31.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1882.
% 196.61/31.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.61/31.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 196.61/31.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.61/31.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5388) all_56_14 = e2 & op(e0, e1) = e2
% 196.61/31.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.61/31.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5388) implies:
% 196.61/31.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5389) op(e0, e1) = e2
% 196.61/31.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.61/31.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (5337), (5389), (function-axioms) are
% 196.61/31.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1712.
% 196.61/31.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.61/31.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 196.61/31.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.61/31.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 196.61/31.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.61/31.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 196.61/31.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.61/31.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 196.61/31.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.61/31.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 196.61/31.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.61/31.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 196.61/31.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.61/31.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5390) (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_9 = e3
% 196.61/31.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e3)
% 196.61/31.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.61/31.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5390) gives:
% 196.61/31.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.61/31.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 196.61/31.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.61/31.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5391) all_56_4 = e3 & op(e3, e1) = e3
% 196.61/31.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.61/31.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5391) implies:
% 196.61/31.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5392) all_56_4 = e3
% 196.61/31.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.61/31.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (5300), (5392) are inconsistent by sub-proof
% 196.61/31.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1639.
% 196.61/31.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.61/31.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 196.61/31.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.61/31.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5393) all_56_9 = e3 & op(e3, e0) = e3
% 196.61/31.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.61/31.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (5322), (5393) are inconsistent by sub-proof
% 196.61/31.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1580.
% 196.61/31.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.61/31.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 196.61/31.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.61/31.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 196.61/31.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.61/31.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 196.61/31.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.61/31.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 196.61/31.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.61/31.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 196.61/31.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.61/31.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5394) all_56_13 = e2 & op(e0, e2) = e2
% 196.61/31.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.61/31.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5394) implies:
% 196.61/31.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5395) all_56_13 = e2
% 196.61/31.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.61/31.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (5309), (5395) are inconsistent by sub-proof
% 196.61/31.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1571.
% 196.61/31.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.61/31.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 196.61/31.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.61/31.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 196.61/31.17 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.61/31.17 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 196.61/31.17 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.61/31.17 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 196.61/31.17 | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.61/31.17 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 196.61/31.17 | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.61/31.17 | | | | | | | | | | | | | | | | | | | | | | | | | (5396) all_56_9 = e1 & op(e3, e0) = e1
% 196.61/31.17 | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.61/31.17 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5396) implies:
% 196.61/31.17 | | | | | | | | | | | | | | | | | | | | | | | | | (5397) all_56_9 = e1
% 196.61/31.17 | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.61/31.17 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (206) gives:
% 196.61/31.17 | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.61/31.17 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 196.61/31.17 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.61/31.17 | | | | | | | | | | | | | | | | | | | | | | | | | | (5398) all_56_15 = e0 & op(e0, e0) = e0
% 196.61/31.17 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.61/31.17 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5398) implies:
% 196.61/31.17 | | | | | | | | | | | | | | | | | | | | | | | | | | (5399) op(e0, e0) = e0
% 196.61/31.17 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.61/31.17 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5283), (5399), (function-axioms) are
% 196.61/31.17 | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1708.
% 196.61/31.17 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.61/31.17 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 196.61/31.17 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.61/31.17 | | | | | | | | | | | | | | | | | | | | | | | | | | (5400) ((all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 =
% 196.61/31.17 | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_56_11 = e0 &
% 196.61/31.17 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e0)) & ((all_56_12 = e0 & op(e0,
% 196.61/31.17 | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e0) | (all_56_13 = e0 & op(e0, e2) =
% 196.61/31.17 | | | | | | | | | | | | | | | | | | | | | | | | | | e0) | (all_56_14 = e0 & op(e0, e1) = e0))
% 196.61/31.17 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.61/31.17 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5400) implies:
% 196.61/31.17 | | | | | | | | | | | | | | | | | | | | | | | | | | (5401) (all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 =
% 196.61/31.17 | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_56_11 = e0 & op(e1,
% 196.61/31.17 | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e0)
% 196.61/31.17 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.61/31.17 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (230) gives:
% 196.61/31.17 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.61/31.17 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 196.61/31.17 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.61/31.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | (5402) (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_1 = e0
% 196.61/31.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e0)
% 196.61/31.17 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.61/31.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (226), (227), (228),
% 196.61/31.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | (5145), (5204), (5402), (function-axioms) are
% 196.61/31.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #996.
% 196.61/31.17 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.61/31.17 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 196.61/31.17 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.61/31.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | (5403) (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_9 = e0
% 196.61/31.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e0)
% 196.61/31.17 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.61/31.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5403) gives:
% 196.61/31.17 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.61/31.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 196.61/31.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.61/31.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5404) all_56_4 = e0 & op(e3, e1) = e0
% 196.61/31.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.61/31.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5404) implies:
% 196.61/31.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5405) all_56_4 = e0
% 196.61/31.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.61/31.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (236) gives:
% 196.61/31.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.61/31.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 196.61/31.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.61/31.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5406) (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_1 = e3
% 196.61/31.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e3)
% 196.61/31.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.61/31.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5406) gives:
% 196.61/31.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.61/31.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 196.61/31.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.61/31.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5407) all_56_0 = e3 & op(e3, e3) = e3
% 196.61/31.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.61/31.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (5144), (5407) are inconsistent by sub-proof
% 196.61/31.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1645.
% 196.61/31.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.61/31.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 196.61/31.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.61/31.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5408) all_56_1 = e3 & op(e3, e2) = e3
% 196.61/31.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.61/31.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5408) implies:
% 196.61/31.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5409) all_56_1 = e3
% 196.61/31.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.61/31.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5401) gives:
% 196.61/31.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.61/31.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 196.61/31.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.61/31.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5410) all_56_9 = e0 & op(e3, e0) = e0
% 196.61/31.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.61/31.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5410) implies:
% 196.61/31.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5411) all_56_9 = e0
% 196.61/31.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.61/31.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (8), (232), (5145), (5405), (5409),
% 196.61/31.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5411), (function-axioms) are inconsistent by
% 196.61/31.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1000.
% 196.61/31.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.61/31.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 196.61/31.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.61/31.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5412) (all_56_10 = e0 & op(e2, e0) = e0) | (all_56_11 =
% 196.61/31.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e1, e0) = e0)
% 196.61/31.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.61/31.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5412) gives:
% 196.61/31.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.61/31.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 196.61/31.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.61/31.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5413) all_56_10 = e0 & op(e2, e0) = e0
% 196.61/31.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.61/31.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (5200), (5413), (function-axioms) are
% 196.61/31.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1263.
% 196.61/31.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.61/31.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 196.61/31.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.61/31.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5414) all_56_11 = e0 & op(e1, e0) = e0
% 196.61/31.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.61/31.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5414) implies:
% 196.61/31.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5415) all_56_11 = e0
% 196.61/31.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.61/31.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (7), (8), (9), (45), (211), (212),
% 196.61/31.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (376), (5283), (5397), (5415), (function-axioms)
% 196.61/31.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1701.
% 196.61/31.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.61/31.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 196.61/31.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.61/31.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 196.61/31.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.61/31.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 196.61/31.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.61/31.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 196.61/31.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.61/31.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5416) (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_9 = e3
% 196.61/31.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e3)
% 196.61/31.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.61/31.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5416) gives:
% 196.61/31.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.61/31.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 196.61/31.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.61/31.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5417) all_56_4 = e3 & op(e3, e1) = e3
% 196.61/31.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.61/31.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5417) implies:
% 196.61/31.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5418) all_56_4 = e3
% 196.61/31.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.61/31.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (5405), (5418) are inconsistent by sub-proof
% 196.61/31.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1255.
% 196.61/31.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.61/31.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 196.61/31.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.61/31.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5419) all_56_9 = e3 & op(e3, e0) = e3
% 196.61/31.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.61/31.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5419) implies:
% 196.61/31.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5420) all_56_9 = e3
% 196.61/31.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.61/31.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (5397), (5420) are inconsistent by sub-proof
% 196.61/31.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1707.
% 196.61/31.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.61/31.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 196.61/31.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.61/31.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 196.61/31.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.61/31.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 196.61/31.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.61/31.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5421) all_56_9 = e0 & op(e3, e0) = e0
% 196.61/31.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.61/31.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (158), (162), (222),
% 196.61/31.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (223), (224), (225), (226), (227), (228), (5197),
% 196.61/31.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5198), (5204), (5292), (5397), (5421),
% 196.61/31.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 196.61/31.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1234.
% 196.61/31.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.61/31.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 196.61/31.17 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.61/31.17 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 196.61/31.17 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.61/31.17 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 196.61/31.17 | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.61/31.17 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 196.61/31.17 | | | | | | | | | | | | | | | | | | | | | | | |
% 196.61/31.17 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 196.61/31.17 | | | | | | | | | | | | | | | | | | | | | | |
% 196.61/31.17 | | | | | | | | | | | | | | | | | | | | | | End of split
% 196.61/31.17 | | | | | | | | | | | | | | | | | | | | | |
% 196.61/31.17 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 196.61/31.17 | | | | | | | | | | | | | | | | | | | | | |
% 196.61/31.17 | | | | | | | | | | | | | | | | | | | | | | (5422) (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_12 =
% 196.61/31.17 | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e3) = e1)
% 196.61/31.17 | | | | | | | | | | | | | | | | | | | | | |
% 196.61/31.17 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5422) gives:
% 196.61/31.17 | | | | | | | | | | | | | | | | | | | | | |
% 196.61/31.17 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 196.61/31.17 | | | | | | | | | | | | | | | | | | | | | | |
% 196.61/31.17 | | | | | | | | | | | | | | | | | | | | | | | (5423) all_56_6 = e1 & op(e1, e3) = e1
% 196.61/31.17 | | | | | | | | | | | | | | | | | | | | | | |
% 196.61/31.17 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5423) implies:
% 196.61/31.17 | | | | | | | | | | | | | | | | | | | | | | | (5424) op(e1, e3) = e1
% 196.61/31.17 | | | | | | | | | | | | | | | | | | | | | | |
% 196.61/31.17 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (163), (5238), (5424), (function-axioms) are
% 196.61/31.17 | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1939.
% 196.61/31.17 | | | | | | | | | | | | | | | | | | | | | | |
% 196.61/31.17 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 196.61/31.17 | | | | | | | | | | | | | | | | | | | | | | |
% 196.61/31.17 | | | | | | | | | | | | | | | | | | | | | | | (5425) all_56_12 = e1 & op(e0, e3) = e1
% 196.61/31.17 | | | | | | | | | | | | | | | | | | | | | | |
% 196.61/31.17 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5425) implies:
% 196.61/31.17 | | | | | | | | | | | | | | | | | | | | | | | (5426) all_56_12 = e1
% 196.61/31.17 | | | | | | | | | | | | | | | | | | | | | | |
% 196.61/31.17 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (206) gives:
% 196.61/31.17 | | | | | | | | | | | | | | | | | | | | | | |
% 196.61/31.17 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 196.61/31.17 | | | | | | | | | | | | | | | | | | | | | | | |
% 196.61/31.17 | | | | | | | | | | | | | | | | | | | | | | | | (5427) all_56_15 = e0 & op(e0, e0) = e0
% 196.61/31.17 | | | | | | | | | | | | | | | | | | | | | | | |
% 196.61/31.17 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5427) implies:
% 196.61/31.17 | | | | | | | | | | | | | | | | | | | | | | | | (5428) op(e0, e0) = e0
% 196.61/31.17 | | | | | | | | | | | | | | | | | | | | | | | |
% 196.61/31.17 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5283), (5428), (function-axioms) are
% 196.61/31.17 | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1708.
% 196.61/31.17 | | | | | | | | | | | | | | | | | | | | | | | |
% 196.61/31.17 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 196.61/31.17 | | | | | | | | | | | | | | | | | | | | | | | |
% 196.61/31.18 | | | | | | | | | | | | | | | | | | | | | | | | (5429) ((all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 =
% 196.61/31.18 | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_56_11 = e0 &
% 196.61/31.18 | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e0)) & ((all_56_12 = e0 & op(e0,
% 196.61/31.18 | | | | | | | | | | | | | | | | | | | | | | | | e3) = e0) | (all_56_13 = e0 & op(e0, e2) =
% 196.61/31.18 | | | | | | | | | | | | | | | | | | | | | | | | e0) | (all_56_14 = e0 & op(e0, e1) = e0))
% 196.61/31.18 | | | | | | | | | | | | | | | | | | | | | | | |
% 196.61/31.18 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5429) implies:
% 196.61/31.18 | | | | | | | | | | | | | | | | | | | | | | | | (5430) (all_56_12 = e0 & op(e0, e3) = e0) | (all_56_13 =
% 196.61/31.18 | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0) | (all_56_14 = e0 & op(e0,
% 196.61/31.18 | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0)
% 196.61/31.18 | | | | | | | | | | | | | | | | | | | | | | | |
% 196.61/31.18 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5430) gives:
% 196.61/31.18 | | | | | | | | | | | | | | | | | | | | | | | |
% 196.61/31.18 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 196.61/31.18 | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.61/31.18 | | | | | | | | | | | | | | | | | | | | | | | | | (5431) all_56_12 = e0 & op(e0, e3) = e0
% 196.61/31.18 | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.61/31.18 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5426), (5431) are inconsistent by sub-proof
% 196.61/31.18 | | | | | | | | | | | | | | | | | | | | | | | | | #1868.
% 196.61/31.18 | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.61/31.18 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 196.61/31.18 | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.61/31.18 | | | | | | | | | | | | | | | | | | | | | | | | | (5432) (all_56_13 = e0 & op(e0, e2) = e0) | (all_56_14 =
% 196.61/31.18 | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0)
% 196.61/31.18 | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.61/31.18 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (7), (8), (9), (158), (159), (208),
% 196.61/31.18 | | | | | | | | | | | | | | | | | | | | | | | | | (209), (5133), (5198), (5283), (5426), (5432),
% 196.61/31.18 | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 196.61/31.18 | | | | | | | | | | | | | | | | | | | | | | | | | #1039.
% 196.61/31.18 | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.61/31.18 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 196.61/31.18 | | | | | | | | | | | | | | | | | | | | | | | |
% 196.61/31.18 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 196.61/31.18 | | | | | | | | | | | | | | | | | | | | | | |
% 196.61/31.18 | | | | | | | | | | | | | | | | | | | | | | End of split
% 196.61/31.18 | | | | | | | | | | | | | | | | | | | | | |
% 196.61/31.18 | | | | | | | | | | | | | | | | | | | | | End of split
% 196.61/31.18 | | | | | | | | | | | | | | | | | | | | |
% 196.61/31.18 | | | | | | | | | | | | | | | | | | | | End of split
% 196.61/31.18 | | | | | | | | | | | | | | | | | | | |
% 196.61/31.18 | | | | | | | | | | | | | | | | | | | End of split
% 196.61/31.18 | | | | | | | | | | | | | | | | | | |
% 196.61/31.18 | | | | | | | | | | | | | | | | | | Case 2:
% 196.61/31.18 | | | | | | | | | | | | | | | | | | |
% 196.61/31.18 | | | | | | | | | | | | | | | | | | | (5433) all_54_10 = e0
% 196.61/31.18 | | | | | | | | | | | | | | | | | | |
% 196.61/31.18 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (335), (372), (5433) are inconsistent by sub-proof
% 196.61/31.18 | | | | | | | | | | | | | | | | | | | #1950.
% 196.61/31.18 | | | | | | | | | | | | | | | | | | |
% 196.61/31.18 | | | | | | | | | | | | | | | | | | End of split
% 196.61/31.18 | | | | | | | | | | | | | | | | | |
% 196.61/31.18 | | | | | | | | | | | | | | | | | End of split
% 196.61/31.18 | | | | | | | | | | | | | | | | |
% 196.61/31.18 | | | | | | | | | | | | | | | | End of split
% 196.61/31.18 | | | | | | | | | | | | | | | |
% 196.61/31.18 | | | | | | | | | | | | | | | Case 2:
% 196.61/31.18 | | | | | | | | | | | | | | | |
% 196.61/31.18 | | | | | | | | | | | | | | | | (5434) all_32_2 = e3
% 196.61/31.18 | | | | | | | | | | | | | | | |
% 196.61/31.18 | | | | | | | | | | | | | | | | COMBINE_EQS: (301), (5434) imply:
% 196.61/31.18 | | | | | | | | | | | | | | | | (5435) all_4_2 = e3
% 196.61/31.18 | | | | | | | | | | | | | | | |
% 196.61/31.18 | | | | | | | | | | | | | | | | REDUCE: (349), (5435) imply:
% 196.61/31.18 | | | | | | | | | | | | | | | | (5436) ~ (all_52_2 = e3)
% 196.61/31.18 | | | | | | | | | | | | | | | |
% 196.61/31.18 | | | | | | | | | | | | | | | | REDUCE: (360), (5435) imply:
% 196.61/31.18 | | | | | | | | | | | | | | | | (5437) ~ (all_52_6 = e3)
% 196.61/31.18 | | | | | | | | | | | | | | | |
% 196.61/31.18 | | | | | | | | | | | | | | | | REDUCE: (362), (5435) imply:
% 196.61/31.18 | | | | | | | | | | | | | | | | (5438) ~ (all_52_8 = e3)
% 196.61/31.18 | | | | | | | | | | | | | | | |
% 196.61/31.18 | | | | | | | | | | | | | | | | REDUCE: (363), (5435) imply:
% 196.61/31.18 | | | | | | | | | | | | | | | | (5439) ~ (all_52_9 = e3)
% 196.61/31.18 | | | | | | | | | | | | | | | |
% 196.61/31.18 | | | | | | | | | | | | | | | | REDUCE: (365), (5435) imply:
% 196.61/31.18 | | | | | | | | | | | | | | | | (5440) ~ (all_52_11 = e3)
% 196.61/31.18 | | | | | | | | | | | | | | | |
% 196.61/31.18 | | | | | | | | | | | | | | | | REDUCE: (367), (5435) imply:
% 196.61/31.18 | | | | | | | | | | | | | | | | (5441) ~ (all_52_14 = e3)
% 196.61/31.18 | | | | | | | | | | | | | | | |
% 196.61/31.18 | | | | | | | | | | | | | | | | REDUCE: (36), (5435) imply:
% 196.61/31.18 | | | | | | | | | | | | | | | | (5442) op(e1, e1) = e3
% 196.61/31.18 | | | | | | | | | | | | | | | |
% 196.61/31.18 | | | | | | | | | | | | | | | | BETA: splitting (91) gives:
% 196.61/31.18 | | | | | | | | | | | | | | | |
% 196.61/31.18 | | | | | | | | | | | | | | | | Case 1:
% 196.61/31.18 | | | | | | | | | | | | | | | | |
% 196.61/31.18 | | | | | | | | | | | | | | | | | (5443) ~ (all_40_2 = e1)
% 196.61/31.18 | | | | | | | | | | | | | | | | |
% 196.61/31.18 | | | | | | | | | | | | | | | | | REDUCE: (307), (5443) imply:
% 196.61/31.18 | | | | | | | | | | | | | | | | | (5444) ~ (all_10_2 = e1)
% 196.61/31.18 | | | | | | | | | | | | | | | | |
% 196.61/31.18 | | | | | | | | | | | | | | | | | BETA: splitting (189) gives:
% 196.61/31.18 | | | | | | | | | | | | | | | | |
% 196.61/31.18 | | | | | | | | | | | | | | | | | Case 1:
% 196.61/31.18 | | | | | | | | | | | | | | | | | |
% 196.61/31.18 | | | | | | | | | | | | | | | | | | (5445) all_54_15 = e3
% 196.61/31.18 | | | | | | | | | | | | | | | | | |
% 196.61/31.18 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (246), (5445) imply:
% 196.61/31.18 | | | | | | | | | | | | | | | | | | (5446) all_10_2 = e3
% 196.61/31.18 | | | | | | | | | | | | | | | | | |
% 196.61/31.18 | | | | | | | | | | | | | | | | | | REDUCE: (376), (5446) imply:
% 196.61/31.18 | | | | | | | | | | | | | | | | | | (5447) $false
% 196.61/31.18 | | | | | | | | | | | | | | | | | |
% 196.61/31.18 | | | | | | | | | | | | | | | | | | CLOSE: (5447) is inconsistent.
% 196.61/31.18 | | | | | | | | | | | | | | | | | |
% 196.61/31.18 | | | | | | | | | | | | | | | | | Case 2:
% 196.61/31.18 | | | | | | | | | | | | | | | | | |
% 196.61/31.18 | | | | | | | | | | | | | | | | | | (5448) ~ (all_54_15 = e3)
% 196.61/31.18 | | | | | | | | | | | | | | | | | | (5449) all_54_15 = e2 | all_54_15 = e1 | all_54_15 = e0
% 196.61/31.18 | | | | | | | | | | | | | | | | | |
% 196.61/31.18 | | | | | | | | | | | | | | | | | | BETA: splitting (5449) gives:
% 196.61/31.18 | | | | | | | | | | | | | | | | | |
% 196.61/31.18 | | | | | | | | | | | | | | | | | | Case 1:
% 196.61/31.18 | | | | | | | | | | | | | | | | | | |
% 196.61/31.18 | | | | | | | | | | | | | | | | | | | (5450) all_54_15 = e2
% 196.61/31.18 | | | | | | | | | | | | | | | | | | |
% 196.61/31.18 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (246), (5450) imply:
% 196.61/31.18 | | | | | | | | | | | | | | | | | | | (5451) all_10_2 = e2
% 196.61/31.18 | | | | | | | | | | | | | | | | | | |
% 196.61/31.18 | | | | | | | | | | | | | | | | | | | REDUCE: (5227), (5451) imply:
% 196.61/31.18 | | | | | | | | | | | | | | | | | | | (5452) $false
% 196.61/31.18 | | | | | | | | | | | | | | | | | | |
% 196.61/31.18 | | | | | | | | | | | | | | | | | | | CLOSE: (5452) is inconsistent.
% 196.61/31.18 | | | | | | | | | | | | | | | | | | |
% 196.61/31.18 | | | | | | | | | | | | | | | | | | Case 2:
% 196.61/31.18 | | | | | | | | | | | | | | | | | | |
% 196.61/31.18 | | | | | | | | | | | | | | | | | | | (5453) ~ (all_54_15 = e2)
% 196.61/31.18 | | | | | | | | | | | | | | | | | | | (5454) all_54_15 = e1 | all_54_15 = e0
% 196.61/31.18 | | | | | | | | | | | | | | | | | | |
% 196.61/31.18 | | | | | | | | | | | | | | | | | | | BETA: splitting (5454) gives:
% 196.61/31.18 | | | | | | | | | | | | | | | | | | |
% 196.61/31.18 | | | | | | | | | | | | | | | | | | | Case 1:
% 196.61/31.18 | | | | | | | | | | | | | | | | | | | |
% 196.61/31.18 | | | | | | | | | | | | | | | | | | | | (5455) all_54_15 = e1
% 196.61/31.18 | | | | | | | | | | | | | | | | | | | |
% 196.61/31.18 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (246), (5455) imply:
% 196.61/31.18 | | | | | | | | | | | | | | | | | | | | (5456) all_10_2 = e1
% 196.61/31.18 | | | | | | | | | | | | | | | | | | | |
% 196.61/31.18 | | | | | | | | | | | | | | | | | | | | REDUCE: (5444), (5456) imply:
% 196.61/31.18 | | | | | | | | | | | | | | | | | | | | (5457) $false
% 196.61/31.18 | | | | | | | | | | | | | | | | | | | |
% 196.61/31.18 | | | | | | | | | | | | | | | | | | | | CLOSE: (5457) is inconsistent.
% 196.61/31.18 | | | | | | | | | | | | | | | | | | | |
% 196.61/31.18 | | | | | | | | | | | | | | | | | | | Case 2:
% 196.61/31.18 | | | | | | | | | | | | | | | | | | | |
% 196.61/31.18 | | | | | | | | | | | | | | | | | | | | (5458) all_54_15 = e0
% 196.61/31.18 | | | | | | | | | | | | | | | | | | | |
% 196.61/31.18 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (246), (5458) imply:
% 196.61/31.18 | | | | | | | | | | | | | | | | | | | | (5459) all_10_2 = e0
% 196.61/31.18 | | | | | | | | | | | | | | | | | | | |
% 196.61/31.18 | | | | | | | | | | | | | | | | | | | | REDUCE: (350), (5459) imply:
% 196.61/31.18 | | | | | | | | | | | | | | | | | | | | (5460) ~ (all_52_3 = e0)
% 196.61/31.18 | | | | | | | | | | | | | | | | | | | |
% 196.61/31.18 | | | | | | | | | | | | | | | | | | | | REDUCE: (368), (5459) imply:
% 196.61/31.18 | | | | | | | | | | | | | | | | | | | | (5461) ~ (all_52_11 = e0)
% 196.61/31.18 | | | | | | | | | | | | | | | | | | | |
% 196.61/31.18 | | | | | | | | | | | | | | | | | | | | REDUCE: (369), (5459) imply:
% 196.61/31.18 | | | | | | | | | | | | | | | | | | | | (5462) ~ (all_52_12 = e0)
% 196.61/31.18 | | | | | | | | | | | | | | | | | | | |
% 196.66/31.18 | | | | | | | | | | | | | | | | | | | | REDUCE: (371), (5459) imply:
% 196.66/31.18 | | | | | | | | | | | | | | | | | | | | (5463) ~ (all_52_14 = e0)
% 196.66/31.18 | | | | | | | | | | | | | | | | | | | |
% 196.66/31.18 | | | | | | | | | | | | | | | | | | | | REDUCE: (5227), (5459) imply:
% 196.66/31.18 | | | | | | | | | | | | | | | | | | | | (5464) ~ (e2 = e0)
% 196.66/31.18 | | | | | | | | | | | | | | | | | | | |
% 196.66/31.18 | | | | | | | | | | | | | | | | | | | | REDUCE: (45), (5459) imply:
% 196.66/31.18 | | | | | | | | | | | | | | | | | | | | (5465) op(e0, e0) = e0
% 196.66/31.18 | | | | | | | | | | | | | | | | | | | |
% 196.66/31.18 | | | | | | | | | | | | | | | | | | | | BETA: splitting (217) gives:
% 196.66/31.18 | | | | | | | | | | | | | | | | | | | |
% 196.66/31.18 | | | | | | | | | | | | | | | | | | | | Case 1:
% 196.66/31.18 | | | | | | | | | | | | | | | | | | | | |
% 196.66/31.18 | | | | | | | | | | | | | | | | | | | | | (5466) (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_5 = e0
% 196.66/31.18 | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e0)
% 196.66/31.18 | | | | | | | | | | | | | | | | | | | | |
% 196.66/31.18 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5466) gives:
% 196.66/31.18 | | | | | | | | | | | | | | | | | | | | |
% 196.66/31.18 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 196.66/31.18 | | | | | | | | | | | | | | | | | | | | | |
% 196.66/31.18 | | | | | | | | | | | | | | | | | | | | | | (5467) all_56_4 = e0 & op(e3, e1) = e0
% 196.66/31.18 | | | | | | | | | | | | | | | | | | | | | |
% 196.66/31.18 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5467) implies:
% 196.66/31.18 | | | | | | | | | | | | | | | | | | | | | | (5468) all_56_4 = e0
% 196.66/31.18 | | | | | | | | | | | | | | | | | | | | | | (5469) op(e3, e1) = e0
% 196.66/31.18 | | | | | | | | | | | | | | | | | | | | | |
% 196.66/31.18 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (229) gives:
% 196.66/31.18 | | | | | | | | | | | | | | | | | | | | | |
% 196.66/31.18 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 196.66/31.18 | | | | | | | | | | | | | | | | | | | | | | |
% 196.66/31.18 | | | | | | | | | | | | | | | | | | | | | | | (5470) (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0
% 196.66/31.18 | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e0)
% 196.66/31.18 | | | | | | | | | | | | | | | | | | | | | | |
% 196.66/31.18 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (158), (162), (222),
% 196.66/31.18 | | | | | | | | | | | | | | | | | | | | | | | (223), (224), (225), (226), (227), (228), (5145),
% 196.66/31.18 | | | | | | | | | | | | | | | | | | | | | | | (5197), (5198), (5204), (5470), (function-axioms)
% 196.66/31.18 | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #995.
% 196.66/31.18 | | | | | | | | | | | | | | | | | | | | | | |
% 196.66/31.18 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 196.66/31.18 | | | | | | | | | | | | | | | | | | | | | | |
% 196.66/31.18 | | | | | | | | | | | | | | | | | | | | | | | (5471) (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 =
% 196.66/31.18 | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e3) = e0)
% 196.66/31.18 | | | | | | | | | | | | | | | | | | | | | | |
% 196.66/31.18 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5471) gives:
% 196.66/31.18 | | | | | | | | | | | | | | | | | | | | | | |
% 196.66/31.18 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 196.66/31.18 | | | | | | | | | | | | | | | | | | | | | | | |
% 196.66/31.18 | | | | | | | | | | | | | | | | | | | | | | | | (5472) all_56_6 = e0 & op(e1, e3) = e0
% 196.66/31.18 | | | | | | | | | | | | | | | | | | | | | | | |
% 196.66/31.18 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5472) implies:
% 196.66/31.18 | | | | | | | | | | | | | | | | | | | | | | | | (5473) all_56_6 = e0
% 196.66/31.18 | | | | | | | | | | | | | | | | | | | | | | | |
% 196.66/31.18 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (203) gives:
% 196.66/31.18 | | | | | | | | | | | | | | | | | | | | | | | |
% 196.66/31.18 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 196.66/31.18 | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.66/31.18 | | | | | | | | | | | | | | | | | | | | | | | | | (5474) all_54_1 = e3
% 196.66/31.18 | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.66/31.18 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (272), (5474) imply:
% 196.66/31.18 | | | | | | | | | | | | | | | | | | | | | | | | | (5475) all_52_4 = e3
% 196.66/31.18 | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.66/31.18 | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5475) implies:
% 196.66/31.18 | | | | | | | | | | | | | | | | | | | | | | | | | (5476) all_52_4 = e3
% 196.66/31.18 | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.66/31.18 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (133), (5476) imply:
% 196.66/31.18 | | | | | | | | | | | | | | | | | | | | | | | | | (5477) ~ (all_52_12 = e3)
% 196.66/31.18 | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.66/31.18 | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5477) implies:
% 196.66/31.18 | | | | | | | | | | | | | | | | | | | | | | | | | (5478) ~ (all_52_12 = e3)
% 196.66/31.18 | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.66/31.18 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (201) gives:
% 196.66/31.18 | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.66/31.18 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 196.66/31.18 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.66/31.18 | | | | | | | | | | | | | | | | | | | | | | | | | | (5479) all_54_3 = e3
% 196.66/31.18 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.66/31.18 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (270), (5479) imply:
% 196.66/31.18 | | | | | | | | | | | | | | | | | | | | | | | | | | (5480) all_52_12 = e3
% 196.66/31.18 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.66/31.18 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5478), (5480) imply:
% 196.66/31.18 | | | | | | | | | | | | | | | | | | | | | | | | | | (5481) $false
% 196.66/31.18 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.66/31.18 | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (5481) is inconsistent.
% 196.66/31.18 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.66/31.18 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 196.66/31.18 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.66/31.18 | | | | | | | | | | | | | | | | | | | | | | | | | | (5482) ~ (all_54_3 = e3)
% 196.66/31.18 | | | | | | | | | | | | | | | | | | | | | | | | | | (5483) all_54_3 = e2 | all_54_3 = e1 | all_54_3 = e0
% 196.66/31.18 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.66/31.18 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (232) gives:
% 196.66/31.18 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.66/31.18 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 196.66/31.18 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.66/31.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | (5484) (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_1 = e1
% 196.66/31.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e1)
% 196.66/31.18 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.66/31.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (8), (9), (168), (169), (236), (5144),
% 196.66/31.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | (5145), (5438), (5478), (5484), (function-axioms)
% 196.66/31.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #993.
% 196.66/31.18 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.66/31.18 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 196.66/31.18 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.66/31.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | (5485) (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_9 = e1
% 196.66/31.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e1)
% 196.66/31.18 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.66/31.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5485) gives:
% 196.66/31.18 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.66/31.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 196.66/31.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.66/31.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5486) all_56_4 = e1 & op(e3, e1) = e1
% 196.66/31.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.66/31.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5468), (5486) are inconsistent by sub-proof
% 196.66/31.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | #992.
% 196.66/31.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.66/31.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 196.66/31.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.66/31.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5487) all_56_9 = e1 & op(e3, e0) = e1
% 196.66/31.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.66/31.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5487) implies:
% 196.66/31.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5488) all_56_9 = e1
% 196.66/31.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5489) op(e3, e0) = e1
% 196.66/31.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.66/31.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (236) gives:
% 196.66/31.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.66/31.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 196.66/31.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.66/31.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5490) (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_1 = e3
% 196.66/31.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e3)
% 196.66/31.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.66/31.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5490) gives:
% 196.66/31.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.66/31.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 196.66/31.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.66/31.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5491) all_56_0 = e3 & op(e3, e3) = e3
% 196.66/31.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.66/31.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (5144), (5491) are inconsistent by sub-proof
% 196.66/31.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1645.
% 196.66/31.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.66/31.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 196.66/31.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.66/31.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5492) all_56_1 = e3 & op(e3, e2) = e3
% 196.66/31.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.66/31.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5492) implies:
% 196.66/31.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5493) all_56_1 = e3
% 196.66/31.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5494) op(e3, e2) = e3
% 196.66/31.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.66/31.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (239) gives:
% 196.66/31.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.66/31.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 196.66/31.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.66/31.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5495) (all_57_1 = e2 & ~ (all_57_3 = e3) & ~ (all_57_8
% 196.66/31.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_10 = e2) & ~ (all_57_12 =
% 196.66/31.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_14 = e0) & op(e3, e3) = e2 &
% 196.66/31.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_3 & op(e2, all_57_9) =
% 196.66/31.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_8 & op(e2, all_57_11) = all_57_10 &
% 196.66/31.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_13) = all_57_12 & op(e2,
% 196.66/31.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15) = all_57_14 & op(e2, e3) = all_57_9
% 196.66/31.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = all_57_11 & op(e2, e1) =
% 196.66/31.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_13 & op(e2, e0) = all_57_15 &
% 196.66/31.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_3) & $i(all_57_8) & $i(all_57_9) &
% 196.66/31.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & $i(all_57_11) & $i(all_57_12) &
% 196.66/31.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13) & $i(all_57_14) & $i(all_57_15)) |
% 196.66/31.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e1 & ~ (all_57_5 = e3) & ~
% 196.66/31.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_16 = e3) & ~ (all_57_18 = e2) & ~
% 196.66/31.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_22 = e0) & op(e3,
% 196.66/31.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e1 & op(e3, e1) = all_57_5 & op(e1,
% 196.66/31.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17) = all_57_16 & op(e1, all_57_19) =
% 196.66/31.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_18 & op(e1, all_57_21) = all_57_20 &
% 196.66/31.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_23) = all_57_22 & op(e1, e3) =
% 196.66/31.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e1, e2) = all_57_19 & op(e1, e1)
% 196.66/31.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_21 & op(e1, e0) = all_57_23 &
% 196.66/31.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_16) & $i(all_57_17) &
% 196.66/31.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_19) & $i(all_57_20) &
% 196.66/31.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_22) & $i(all_57_23)) |
% 196.66/31.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e0 & ~ (all_57_7 = e3) & ~
% 196.66/31.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 196.66/31.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) & op(e3,
% 196.66/31.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e0 & op(e3, e0) = all_57_7 & op(e0,
% 196.66/31.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25) = all_57_24 & op(e0, all_57_27) =
% 196.66/31.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e0, all_57_29) = all_57_28 &
% 196.66/31.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_31) = all_57_30 & op(e0, e3) =
% 196.66/31.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_27 & op(e0, e1)
% 196.66/31.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_29 & op(e0, e0) = all_57_31 &
% 196.66/31.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7) & $i(all_57_24) & $i(all_57_25) &
% 196.66/31.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_27) & $i(all_57_28) &
% 196.66/31.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29) & $i(all_57_30) & $i(all_57_31)) |
% 196.66/31.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e3 & ~ (all_57_0 = e3) & ~
% 196.66/31.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e2) & ~ (all_57_4 = e1) & ~
% 196.66/31.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_6 = e0) & ~ (all_57_9 = e2) & op(e3,
% 196.66/31.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1) = all_57_0 & op(e3, all_57_3) =
% 196.66/31.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_2 & op(e3, all_57_5) = all_57_4 & op(e3,
% 196.66/31.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7) = all_57_6 & op(e3, e3) = all_57_1 &
% 196.66/31.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_3 & op(e3, e1) = all_57_5 &
% 196.66/31.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_7 & op(e2, e3) = all_57_9 &
% 196.66/31.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e3 & $i(all_57_0) & $i(all_57_1) &
% 196.66/31.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_2) & $i(all_57_3) & $i(all_57_4) &
% 196.66/31.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 196.66/31.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9))
% 196.66/31.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.66/31.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5495) gives:
% 196.66/31.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.66/31.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 196.66/31.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.66/31.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5496) (all_57_1 = e2 & ~ (all_57_3 = e3) & ~ (all_57_8
% 196.66/31.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_10 = e2) & ~ (all_57_12 =
% 196.66/31.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_14 = e0) & op(e3, e3) = e2 &
% 196.66/31.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_3 & op(e2, all_57_9) =
% 196.66/31.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_8 & op(e2, all_57_11) = all_57_10 &
% 196.66/31.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_13) = all_57_12 & op(e2,
% 196.66/31.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15) = all_57_14 & op(e2, e3) = all_57_9
% 196.66/31.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = all_57_11 & op(e2, e1) =
% 196.66/31.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_13 & op(e2, e0) = all_57_15 &
% 196.66/31.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_3) & $i(all_57_8) & $i(all_57_9) &
% 196.66/31.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & $i(all_57_11) & $i(all_57_12) &
% 196.66/31.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13) & $i(all_57_14) & $i(all_57_15)) |
% 196.66/31.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e1 & ~ (all_57_5 = e3) & ~
% 196.66/31.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_16 = e3) & ~ (all_57_18 = e2) & ~
% 196.66/31.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_22 = e0) & op(e3,
% 196.66/31.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e1 & op(e3, e1) = all_57_5 & op(e1,
% 196.66/31.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17) = all_57_16 & op(e1, all_57_19) =
% 196.66/31.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_18 & op(e1, all_57_21) = all_57_20 &
% 196.66/31.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_23) = all_57_22 & op(e1, e3) =
% 196.66/31.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e1, e2) = all_57_19 & op(e1, e1)
% 196.66/31.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_21 & op(e1, e0) = all_57_23 &
% 196.66/31.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_16) & $i(all_57_17) &
% 196.66/31.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_19) & $i(all_57_20) &
% 196.66/31.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_22) & $i(all_57_23))
% 196.66/31.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.66/31.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5496) gives:
% 196.66/31.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.66/31.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 196.66/31.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.66/31.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5497) all_57_1 = e2 & ~ (all_57_3 = e3) & ~ (all_57_8
% 196.66/31.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_10 = e2) & ~ (all_57_12 =
% 196.66/31.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_14 = e0) & op(e3, e3) = e2 &
% 196.66/31.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_3 & op(e2, all_57_9) =
% 196.66/31.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_8 & op(e2, all_57_11) = all_57_10 & op(e2,
% 196.66/31.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_13) = all_57_12 & op(e2, all_57_15) =
% 196.66/31.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_14 & op(e2, e3) = all_57_9 & op(e2, e2) =
% 196.66/31.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_11 & op(e2, e1) = all_57_13 & op(e2, e0) =
% 196.66/31.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15 & $i(all_57_3) & $i(all_57_8) &
% 196.66/31.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9) & $i(all_57_10) & $i(all_57_11) &
% 196.66/31.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & $i(all_57_13) & $i(all_57_14) &
% 196.66/31.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15)
% 196.66/31.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.66/31.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5497) implies:
% 196.66/31.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5498) ~ (all_57_3 = e3)
% 196.66/31.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5499) op(e3, e2) = all_57_3
% 196.66/31.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.66/31.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5494), (5498), (5499), (function-axioms) are
% 196.66/31.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #991.
% 196.66/31.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.66/31.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 196.66/31.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.66/31.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5500) all_57_1 = e1 & ~ (all_57_5 = e3) & ~ (all_57_16
% 196.66/31.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_18 = e2) & ~ (all_57_20 =
% 196.66/31.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_22 = e0) & op(e3, e3) = e1 &
% 196.66/31.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_57_5 & op(e1, all_57_17) =
% 196.66/31.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_16 & op(e1, all_57_19) = all_57_18 & op(e1,
% 196.66/31.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_21) = all_57_20 & op(e1, all_57_23) =
% 196.66/31.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_22 & op(e1, e3) = all_57_17 & op(e1, e2) =
% 196.66/31.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_19 & op(e1, e1) = all_57_21 & op(e1, e0) =
% 196.66/31.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23 & $i(all_57_5) & $i(all_57_16) &
% 196.66/31.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_17) & $i(all_57_18) & $i(all_57_19) &
% 196.66/31.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_20) & $i(all_57_21) & $i(all_57_22) &
% 196.66/31.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23)
% 196.66/31.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.66/31.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5500) implies:
% 196.66/31.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5501) op(e3, e3) = e1
% 196.66/31.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.66/31.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (169), (230), (234),
% 196.66/31.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (236), (5135), (5488), (5501), (function-axioms)
% 196.66/31.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #989.
% 196.66/31.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.66/31.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 196.66/31.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.66/31.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 196.66/31.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.66/31.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5502) (all_57_1 = e0 & ~ (all_57_7 = e3) & ~
% 196.66/31.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 196.66/31.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) & op(e3,
% 196.66/31.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e0 & op(e3, e0) = all_57_7 & op(e0,
% 196.66/31.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25) = all_57_24 & op(e0, all_57_27) =
% 196.66/31.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e0, all_57_29) = all_57_28 &
% 196.66/31.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_31) = all_57_30 & op(e0, e3) =
% 196.66/31.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_27 & op(e0, e1)
% 196.66/31.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_29 & op(e0, e0) = all_57_31 &
% 196.66/31.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7) & $i(all_57_24) & $i(all_57_25) &
% 196.66/31.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_27) & $i(all_57_28) &
% 196.66/31.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29) & $i(all_57_30) & $i(all_57_31)) |
% 196.66/31.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e3 & ~ (all_57_0 = e3) & ~
% 196.66/31.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e2) & ~ (all_57_4 = e1) & ~
% 196.66/31.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_6 = e0) & ~ (all_57_9 = e2) & op(e3,
% 196.66/31.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1) = all_57_0 & op(e3, all_57_3) =
% 196.66/31.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_2 & op(e3, all_57_5) = all_57_4 & op(e3,
% 196.66/31.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7) = all_57_6 & op(e3, e3) = all_57_1 &
% 196.66/31.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_3 & op(e3, e1) = all_57_5 &
% 196.66/31.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_7 & op(e2, e3) = all_57_9 &
% 196.66/31.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e3 & $i(all_57_0) & $i(all_57_1) &
% 196.66/31.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_2) & $i(all_57_3) & $i(all_57_4) &
% 196.66/31.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 196.66/31.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9))
% 196.66/31.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.66/31.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5502) gives:
% 196.66/31.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.66/31.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 196.66/31.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.66/31.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5503) all_57_1 = e0 & ~ (all_57_7 = e3) & ~ (all_57_24
% 196.66/31.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_26 = e2) & ~ (all_57_28 =
% 196.66/31.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_30 = e0) & op(e3, e3) = e0 &
% 196.66/31.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_7 & op(e0, all_57_25) =
% 196.66/31.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_24 & op(e0, all_57_27) = all_57_26 & op(e0,
% 196.66/31.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_29) = all_57_28 & op(e0, all_57_31) =
% 196.66/31.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30 & op(e0, e3) = all_57_25 & op(e0, e2) =
% 196.66/31.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27 & op(e0, e1) = all_57_29 & op(e0, e0) =
% 196.66/31.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_31 & $i(all_57_7) & $i(all_57_24) &
% 196.66/31.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_25) & $i(all_57_26) & $i(all_57_27) &
% 196.66/31.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28) & $i(all_57_29) & $i(all_57_30) &
% 196.66/31.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_31)
% 196.66/31.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.66/31.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5503) implies:
% 196.66/31.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5504) op(e3, e3) = e0
% 196.66/31.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.66/31.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (5145), (5504), (function-axioms) are
% 196.66/31.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1964.
% 196.66/31.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.66/31.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 196.66/31.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.66/31.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5505) all_57_11 = e3 & ~ (all_57_0 = e3) & ~ (all_57_2
% 196.66/31.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2) & ~ (all_57_4 = e1) & ~ (all_57_6 = e0)
% 196.66/31.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_9 = e2) & op(e3, all_57_1) = all_57_0
% 196.66/31.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, all_57_3) = all_57_2 & op(e3, all_57_5) =
% 196.66/31.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_4 & op(e3, all_57_7) = all_57_6 & op(e3,
% 196.66/31.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_1 & op(e3, e2) = all_57_3 & op(e3,
% 196.66/31.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_5 & op(e3, e0) = all_57_7 & op(e2,
% 196.66/31.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_9 & op(e2, e2) = e3 & $i(all_57_0)
% 196.66/31.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_1) & $i(all_57_2) & $i(all_57_3) &
% 196.66/31.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4) & $i(all_57_5) & $i(all_57_6) &
% 196.66/31.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7) & $i(all_57_9)
% 196.66/31.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.66/31.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5505) implies:
% 196.66/31.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5506) ~ (all_57_6 = e0)
% 196.66/31.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5507) op(e3, e0) = all_57_7
% 196.66/31.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5508) op(e3, e1) = all_57_5
% 196.66/31.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5509) op(e3, all_57_7) = all_57_6
% 196.66/31.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.66/31.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5469), (5489), (5506), (5507), (5508), (5509),
% 196.66/31.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 196.66/31.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #988.
% 196.66/31.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.66/31.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 196.66/31.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.66/31.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 196.66/31.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.66/31.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 196.66/31.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.66/31.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5510) (all_57_11 = e1 & ~ (all_57_13 = e2) & ~
% 196.66/31.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_16 = e3) & ~ (all_57_18 = e2) & ~
% 196.66/31.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_22 = e0) & op(e2,
% 196.66/31.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e1 & op(e2, e1) = all_57_13 & op(e1,
% 196.66/31.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17) = all_57_16 & op(e1, all_57_19) =
% 196.66/31.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_18 & op(e1, all_57_21) = all_57_20 &
% 196.66/31.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_23) = all_57_22 & op(e1, e3) =
% 196.66/31.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e1, e2) = all_57_19 & op(e1, e1)
% 196.66/31.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_21 & op(e1, e0) = all_57_23 &
% 196.66/31.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13) & $i(all_57_16) & $i(all_57_17) &
% 196.66/31.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_19) & $i(all_57_20) &
% 196.66/31.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_22) & $i(all_57_23)) |
% 196.66/31.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e0 & ~ (all_57_15 = e2) & ~
% 196.66/31.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 196.66/31.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) & op(e2,
% 196.66/31.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e0 & op(e2, e0) = all_57_15 & op(e0,
% 196.66/31.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25) = all_57_24 & op(e0, all_57_27) =
% 196.66/31.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e0, all_57_29) = all_57_28 &
% 196.66/31.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_31) = all_57_30 & op(e0, e3) =
% 196.66/31.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_27 & op(e0, e1)
% 196.66/31.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_29 & op(e0, e0) = all_57_31 &
% 196.66/31.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & $i(all_57_24) & $i(all_57_25) &
% 196.66/31.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_27) & $i(all_57_28) &
% 196.66/31.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29) & $i(all_57_30) & $i(all_57_31)) |
% 196.66/31.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e3 & ~ (all_57_0 = e3) & ~
% 196.66/31.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e2) & ~ (all_57_4 = e1) & ~
% 196.66/31.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_6 = e0) & ~ (all_57_17 = e1) & op(e3,
% 196.66/31.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1) = all_57_0 & op(e3, all_57_3) =
% 196.66/31.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_2 & op(e3, all_57_5) = all_57_4 & op(e3,
% 196.66/31.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7) = all_57_6 & op(e3, e3) = all_57_1 &
% 196.66/31.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_3 & op(e3, e1) = all_57_5 &
% 196.66/31.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_7 & op(e1, e3) = all_57_17 &
% 196.66/31.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e3 & $i(all_57_0) & $i(all_57_1) &
% 196.66/31.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_2) & $i(all_57_3) & $i(all_57_4) &
% 196.66/31.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 196.66/31.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_17)) | (all_57_21 = e2 & ~ (all_57_8
% 196.66/31.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_10 = e2) & ~ (all_57_12 =
% 196.66/31.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_14 = e0) & ~ (all_57_19 =
% 196.66/31.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & op(e2, all_57_9) = all_57_8 & op(e2,
% 196.66/31.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_11) = all_57_10 & op(e2, all_57_13) =
% 196.66/31.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & op(e2, all_57_15) = all_57_14 &
% 196.66/31.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_9 & op(e2, e2) = all_57_11 &
% 196.66/31.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_57_13 & op(e2, e0) = all_57_15
% 196.66/31.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = all_57_19 & op(e1, e1) = e2 &
% 196.66/31.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8) & $i(all_57_9) & $i(all_57_10) &
% 196.66/31.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_12) & $i(all_57_13) &
% 196.66/31.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & $i(all_57_15) & $i(all_57_19)) |
% 196.66/31.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (op(e0, e0) = all_57_31 & $i(all_57_31) &
% 196.66/31.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_21 = e0 & ~ (all_57_23 = e1) & ~
% 196.66/31.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 196.66/31.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) &
% 196.66/31.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = all_57_23 &
% 196.66/31.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_25) = all_57_24 & op(e0,
% 196.66/31.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27) = all_57_26 & op(e0, all_57_29)
% 196.66/31.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_28 & op(e0, all_57_31) = all_57_30
% 196.66/31.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e3) = all_57_25 & op(e0, e2) =
% 196.66/31.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27 & op(e0, e1) = all_57_29 &
% 196.66/31.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23) & $i(all_57_24) &
% 196.66/31.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_25) & $i(all_57_26) &
% 196.66/31.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27) & $i(all_57_28) &
% 196.66/31.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29) & $i(all_57_30)) | (all_57_31
% 196.66/31.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & ~ (all_57_0 = e3) & ~ (all_57_2 =
% 196.66/31.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_4 = e1) & ~ (all_57_6 =
% 196.66/31.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_25 = e0) & op(e3,
% 196.66/31.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1) = all_57_0 & op(e3, all_57_3) =
% 196.66/31.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_2 & op(e3, all_57_5) = all_57_4 &
% 196.66/31.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, all_57_7) = all_57_6 & op(e3, e3) =
% 196.66/31.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e2) = all_57_3 & op(e3,
% 196.66/31.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_5 & op(e3, e0) = all_57_7 &
% 196.66/31.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_25 & $i(all_57_0) &
% 196.66/31.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_2) & $i(all_57_3) &
% 196.66/31.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4) & $i(all_57_5) & $i(all_57_6) &
% 196.66/31.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7) & $i(all_57_25)) | (all_57_31 =
% 196.66/31.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_8 = e3) & ~ (all_57_10 =
% 196.66/31.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_12 = e1) & ~ (all_57_14
% 196.66/31.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_27 = e0) & op(e2,
% 196.66/31.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_9) = all_57_8 & op(e2, all_57_11) =
% 196.66/31.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e2, all_57_13) = all_57_12 &
% 196.66/31.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_15) = all_57_14 & op(e2, e3) =
% 196.66/31.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_9 & op(e2, e2) = all_57_11 & op(e2,
% 196.66/31.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_13 & op(e2, e0) = all_57_15 &
% 196.66/31.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_27 & $i(all_57_8) &
% 196.66/31.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9) & $i(all_57_10) & $i(all_57_11)
% 196.66/31.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_12) & $i(all_57_13) &
% 196.66/31.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & $i(all_57_15) &
% 196.66/31.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27)) | (all_57_31 = e1 & ~
% 196.66/31.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_16 = e3) & ~ (all_57_18 = e2) & ~
% 196.66/31.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_22 = e0) & ~
% 196.66/31.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_29 = e0) & op(e1, all_57_17) =
% 196.66/31.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_16 & op(e1, all_57_19) = all_57_18 &
% 196.66/31.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_21) = all_57_20 & op(e1,
% 196.66/31.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23) = all_57_22 & op(e1, e3) =
% 196.66/31.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e1, e2) = all_57_19 & op(e1,
% 196.66/31.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_21 & op(e1, e0) = all_57_23 &
% 196.66/31.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = all_57_29 & $i(all_57_16) &
% 196.66/31.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_17) & $i(all_57_18) &
% 196.66/31.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_20) &
% 196.66/31.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_22) &
% 196.66/31.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23) & $i(all_57_29))))
% 196.66/31.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.66/31.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5510) gives:
% 196.66/31.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.66/31.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 196.66/31.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.66/31.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5511) (all_57_11 = e1 & ~ (all_57_13 = e2) & ~
% 196.66/31.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_16 = e3) & ~ (all_57_18 = e2) & ~
% 196.66/31.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_22 = e0) & op(e2,
% 196.66/31.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e1 & op(e2, e1) = all_57_13 & op(e1,
% 196.66/31.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17) = all_57_16 & op(e1, all_57_19) =
% 196.66/31.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_18 & op(e1, all_57_21) = all_57_20 &
% 196.66/31.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_23) = all_57_22 & op(e1, e3) =
% 196.66/31.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e1, e2) = all_57_19 & op(e1, e1)
% 196.66/31.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_21 & op(e1, e0) = all_57_23 &
% 196.66/31.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13) & $i(all_57_16) & $i(all_57_17) &
% 196.66/31.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_19) & $i(all_57_20) &
% 196.66/31.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_22) & $i(all_57_23)) |
% 196.66/31.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e0 & ~ (all_57_15 = e2) & ~
% 196.66/31.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 196.66/31.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) & op(e2,
% 196.66/31.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e0 & op(e2, e0) = all_57_15 & op(e0,
% 196.66/31.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25) = all_57_24 & op(e0, all_57_27) =
% 196.66/31.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e0, all_57_29) = all_57_28 &
% 196.66/31.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_31) = all_57_30 & op(e0, e3) =
% 196.66/31.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_27 & op(e0, e1)
% 196.66/31.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_29 & op(e0, e0) = all_57_31 &
% 196.66/31.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & $i(all_57_24) & $i(all_57_25) &
% 196.66/31.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_27) & $i(all_57_28) &
% 196.66/31.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29) & $i(all_57_30) & $i(all_57_31))
% 196.66/31.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.66/31.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5511) gives:
% 196.66/31.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.66/31.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 196.66/31.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.66/31.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5512) all_57_11 = e1 & ~ (all_57_13 = e2) & ~
% 196.66/31.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_16 = e3) & ~ (all_57_18 = e2) & ~
% 196.66/31.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_22 = e0) & op(e2,
% 196.66/31.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e1 & op(e2, e1) = all_57_13 & op(e1,
% 196.66/31.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17) = all_57_16 & op(e1, all_57_19) =
% 196.66/31.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_18 & op(e1, all_57_21) = all_57_20 & op(e1,
% 196.66/31.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23) = all_57_22 & op(e1, e3) = all_57_17
% 196.66/31.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = all_57_19 & op(e1, e1) = all_57_21
% 196.66/31.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e0) = all_57_23 & $i(all_57_13) &
% 196.66/31.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_16) & $i(all_57_17) & $i(all_57_18) &
% 196.66/31.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_20) & $i(all_57_21) &
% 196.66/31.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_23)
% 196.66/31.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.66/31.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5512) implies:
% 196.66/31.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5513) op(e2, e2) = e1
% 196.66/31.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.66/31.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5204), (5513), (function-axioms) are
% 196.66/31.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1512.
% 196.66/31.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.66/31.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 196.66/31.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.66/31.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5514) all_57_11 = e0 & ~ (all_57_15 = e2) & ~
% 196.66/31.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 196.66/31.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) & op(e2,
% 196.66/31.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e0 & op(e2, e0) = all_57_15 & op(e0,
% 196.66/31.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25) = all_57_24 & op(e0, all_57_27) =
% 196.66/31.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e0, all_57_29) = all_57_28 & op(e0,
% 196.66/31.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_31) = all_57_30 & op(e0, e3) = all_57_25
% 196.66/31.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e2) = all_57_27 & op(e0, e1) = all_57_29
% 196.66/31.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = all_57_31 & $i(all_57_15) &
% 196.66/31.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_24) & $i(all_57_25) & $i(all_57_26) &
% 196.66/31.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27) & $i(all_57_28) & $i(all_57_29) &
% 196.66/31.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30) & $i(all_57_31)
% 196.66/31.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.66/31.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5514) implies:
% 196.66/31.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5515) ~ (all_57_30 = e0)
% 196.66/31.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5516) ~ (all_57_24 = e3)
% 196.66/31.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5517) op(e0, e0) = all_57_31
% 196.66/31.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5518) op(e0, e3) = all_57_25
% 196.66/31.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5519) op(e0, all_57_31) = all_57_30
% 196.66/31.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5520) op(e0, all_57_25) = all_57_24
% 196.66/31.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.66/31.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (7), (9), (157), (158), (159), (206), (208),
% 196.66/31.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (209), (5133), (5198), (5440), (5460), (5465),
% 196.66/31.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5515), (5516), (5517), (5518), (5519), (5520),
% 196.66/31.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 196.66/31.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #985.
% 196.66/31.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.66/31.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 196.66/31.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.66/31.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 196.66/31.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.66/31.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5521) (all_57_21 = e3 & ~ (all_57_0 = e3) & ~
% 196.66/31.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e2) & ~ (all_57_4 = e1) & ~
% 196.66/31.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_6 = e0) & ~ (all_57_17 = e1) & op(e3,
% 196.66/31.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1) = all_57_0 & op(e3, all_57_3) =
% 196.66/31.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_2 & op(e3, all_57_5) = all_57_4 & op(e3,
% 196.66/31.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7) = all_57_6 & op(e3, e3) = all_57_1 &
% 196.66/31.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_3 & op(e3, e1) = all_57_5 &
% 196.66/31.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_7 & op(e1, e3) = all_57_17 &
% 196.66/31.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e3 & $i(all_57_0) & $i(all_57_1) &
% 196.66/31.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_2) & $i(all_57_3) & $i(all_57_4) &
% 196.66/31.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 196.66/31.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_17)) | (all_57_21 = e2 & ~ (all_57_8
% 196.66/31.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_10 = e2) & ~ (all_57_12 =
% 196.66/31.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_14 = e0) & ~ (all_57_19 =
% 196.66/31.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & op(e2, all_57_9) = all_57_8 & op(e2,
% 196.66/31.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_11) = all_57_10 & op(e2, all_57_13) =
% 196.66/31.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & op(e2, all_57_15) = all_57_14 &
% 196.66/31.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_9 & op(e2, e2) = all_57_11 &
% 196.66/31.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_57_13 & op(e2, e0) = all_57_15
% 196.66/31.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = all_57_19 & op(e1, e1) = e2 &
% 196.66/31.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8) & $i(all_57_9) & $i(all_57_10) &
% 196.66/31.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_12) & $i(all_57_13) &
% 196.66/31.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & $i(all_57_15) & $i(all_57_19)) |
% 196.66/31.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (op(e0, e0) = all_57_31 & $i(all_57_31) &
% 196.66/31.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_21 = e0 & ~ (all_57_23 = e1) & ~
% 196.66/31.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 196.66/31.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) &
% 196.66/31.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = all_57_23 &
% 196.66/31.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_25) = all_57_24 & op(e0,
% 196.66/31.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27) = all_57_26 & op(e0, all_57_29)
% 196.66/31.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_28 & op(e0, all_57_31) = all_57_30
% 196.66/31.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e3) = all_57_25 & op(e0, e2) =
% 196.66/31.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27 & op(e0, e1) = all_57_29 &
% 196.66/31.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23) & $i(all_57_24) &
% 196.66/31.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_25) & $i(all_57_26) &
% 196.66/31.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27) & $i(all_57_28) &
% 196.66/31.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29) & $i(all_57_30)) | (all_57_31
% 196.66/31.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & ~ (all_57_0 = e3) & ~ (all_57_2 =
% 196.66/31.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_4 = e1) & ~ (all_57_6 =
% 196.66/31.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_25 = e0) & op(e3,
% 196.66/31.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1) = all_57_0 & op(e3, all_57_3) =
% 196.66/31.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_2 & op(e3, all_57_5) = all_57_4 &
% 196.66/31.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, all_57_7) = all_57_6 & op(e3, e3) =
% 196.66/31.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e2) = all_57_3 & op(e3,
% 196.66/31.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_5 & op(e3, e0) = all_57_7 &
% 196.66/31.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_25 & $i(all_57_0) &
% 196.66/31.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_2) & $i(all_57_3) &
% 196.66/31.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4) & $i(all_57_5) & $i(all_57_6) &
% 196.66/31.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7) & $i(all_57_25)) | (all_57_31 =
% 196.66/31.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_8 = e3) & ~ (all_57_10 =
% 196.66/31.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_12 = e1) & ~ (all_57_14
% 196.66/31.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_27 = e0) & op(e2,
% 196.66/31.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_9) = all_57_8 & op(e2, all_57_11) =
% 196.66/31.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e2, all_57_13) = all_57_12 &
% 196.66/31.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_15) = all_57_14 & op(e2, e3) =
% 196.66/31.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_9 & op(e2, e2) = all_57_11 & op(e2,
% 196.66/31.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_13 & op(e2, e0) = all_57_15 &
% 196.66/31.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_27 & $i(all_57_8) &
% 196.66/31.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9) & $i(all_57_10) & $i(all_57_11)
% 196.66/31.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_12) & $i(all_57_13) &
% 196.66/31.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & $i(all_57_15) &
% 196.66/31.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27)) | (all_57_31 = e1 & ~
% 196.66/31.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_16 = e3) & ~ (all_57_18 = e2) & ~
% 196.66/31.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_22 = e0) & ~
% 196.66/31.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_29 = e0) & op(e1, all_57_17) =
% 196.66/31.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_16 & op(e1, all_57_19) = all_57_18 &
% 196.66/31.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_21) = all_57_20 & op(e1,
% 196.66/31.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23) = all_57_22 & op(e1, e3) =
% 196.66/31.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e1, e2) = all_57_19 & op(e1,
% 196.66/31.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_21 & op(e1, e0) = all_57_23 &
% 196.66/31.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = all_57_29 & $i(all_57_16) &
% 196.66/31.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_17) & $i(all_57_18) &
% 196.66/31.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_20) &
% 196.66/31.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_22) &
% 196.66/31.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23) & $i(all_57_29))))
% 196.66/31.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.66/31.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5521) gives:
% 196.66/31.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.66/31.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 196.66/31.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.66/31.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5522) all_57_21 = e3 & ~ (all_57_0 = e3) & ~ (all_57_2
% 196.66/31.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2) & ~ (all_57_4 = e1) & ~ (all_57_6 = e0)
% 196.66/31.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_17 = e1) & op(e3, all_57_1) =
% 196.66/31.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_0 & op(e3, all_57_3) = all_57_2 & op(e3,
% 196.66/31.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_5) = all_57_4 & op(e3, all_57_7) =
% 196.66/31.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_6 & op(e3, e3) = all_57_1 & op(e3, e2) =
% 196.66/31.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 & op(e3, e1) = all_57_5 & op(e3, e0) =
% 196.66/31.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7 & op(e1, e3) = all_57_17 & op(e1, e1) =
% 196.66/31.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & $i(all_57_0) & $i(all_57_1) & $i(all_57_2) &
% 196.66/31.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_3) & $i(all_57_4) & $i(all_57_5) &
% 196.66/31.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_6) & $i(all_57_7) & $i(all_57_17)
% 196.66/31.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.66/31.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5522) implies:
% 196.66/31.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5523) ~ (all_57_6 = e0)
% 196.66/31.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5524) op(e3, e0) = all_57_7
% 196.66/31.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5525) op(e3, e1) = all_57_5
% 196.66/31.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5526) op(e3, all_57_7) = all_57_6
% 196.66/31.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.66/31.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5469), (5489), (5523), (5524), (5525), (5526),
% 196.66/31.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 196.66/31.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #988.
% 196.66/31.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.66/31.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 196.66/31.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.66/31.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5527) (all_57_21 = e2 & ~ (all_57_8 = e3) & ~
% 196.66/31.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e2) & ~ (all_57_12 = e1) & ~
% 196.66/31.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e0) & ~ (all_57_19 = e1) & op(e2,
% 196.66/31.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_9) = all_57_8 & op(e2, all_57_11) =
% 196.66/31.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e2, all_57_13) = all_57_12 &
% 196.66/31.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_15) = all_57_14 & op(e2, e3) =
% 196.66/31.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_9 & op(e2, e2) = all_57_11 & op(e2, e1) =
% 196.66/31.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_13 & op(e2, e0) = all_57_15 & op(e1, e2)
% 196.66/31.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_19 & op(e1, e1) = e2 & $i(all_57_8) &
% 196.66/31.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9) & $i(all_57_10) & $i(all_57_11) &
% 196.66/31.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & $i(all_57_13) & $i(all_57_14) &
% 196.66/31.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & $i(all_57_19)) | (op(e0, e0) =
% 196.66/31.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_31 & $i(all_57_31) & ((all_57_21 = e0 &
% 196.66/31.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_23 = e1) & ~ (all_57_24 = e3) &
% 196.66/31.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_26 = e2) & ~ (all_57_28 = e1) &
% 196.66/31.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_30 = e0) & op(e1, e1) = e0 &
% 196.66/31.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_23 & op(e0, all_57_25) =
% 196.66/31.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_24 & op(e0, all_57_27) = all_57_26 &
% 196.66/31.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_29) = all_57_28 & op(e0,
% 196.66/31.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_31) = all_57_30 & op(e0, e3) =
% 196.66/31.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_27 & op(e0,
% 196.66/31.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_29 & $i(all_57_23) &
% 196.66/31.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_24) & $i(all_57_25) &
% 196.66/31.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_27) &
% 196.66/31.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28) & $i(all_57_29) &
% 196.66/31.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_31 = e3 & ~
% 196.66/31.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_0 = e3) & ~ (all_57_2 = e2) & ~
% 196.66/31.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1) & ~ (all_57_6 = e0) & ~
% 196.66/31.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_25 = e0) & op(e3, all_57_1) =
% 196.66/31.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_0 & op(e3, all_57_3) = all_57_2 &
% 196.66/31.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, all_57_5) = all_57_4 & op(e3,
% 196.66/31.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7) = all_57_6 & op(e3, e3) =
% 196.66/31.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e2) = all_57_3 & op(e3,
% 196.66/31.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_5 & op(e3, e0) = all_57_7 &
% 196.66/31.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_25 & $i(all_57_0) &
% 196.66/31.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_2) & $i(all_57_3) &
% 196.66/31.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4) & $i(all_57_5) & $i(all_57_6) &
% 196.66/31.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7) & $i(all_57_25)) | (all_57_31 =
% 196.66/31.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_8 = e3) & ~ (all_57_10 =
% 196.66/31.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_12 = e1) & ~ (all_57_14
% 196.66/31.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_27 = e0) & op(e2,
% 196.66/31.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_9) = all_57_8 & op(e2, all_57_11) =
% 196.66/31.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e2, all_57_13) = all_57_12 &
% 196.66/31.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_15) = all_57_14 & op(e2, e3) =
% 196.66/31.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_9 & op(e2, e2) = all_57_11 & op(e2,
% 196.66/31.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_13 & op(e2, e0) = all_57_15 &
% 196.66/31.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_27 & $i(all_57_8) &
% 196.66/31.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9) & $i(all_57_10) & $i(all_57_11)
% 196.66/31.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_12) & $i(all_57_13) &
% 196.66/31.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & $i(all_57_15) &
% 196.66/31.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27)) | (all_57_31 = e1 & ~
% 196.66/31.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_16 = e3) & ~ (all_57_18 = e2) & ~
% 196.66/31.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_22 = e0) & ~
% 196.66/31.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_29 = e0) & op(e1, all_57_17) =
% 196.66/31.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_16 & op(e1, all_57_19) = all_57_18 &
% 196.66/31.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_21) = all_57_20 & op(e1,
% 196.66/31.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23) = all_57_22 & op(e1, e3) =
% 196.66/31.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e1, e2) = all_57_19 & op(e1,
% 196.66/31.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_21 & op(e1, e0) = all_57_23 &
% 196.66/31.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = all_57_29 & $i(all_57_16) &
% 196.66/31.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_17) & $i(all_57_18) &
% 196.66/31.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_20) &
% 196.66/31.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_22) &
% 196.66/31.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23) & $i(all_57_29))))
% 196.66/31.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.66/31.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5527) gives:
% 196.66/31.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.66/31.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 196.66/31.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.66/31.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5528) all_57_21 = e2 & ~ (all_57_8 = e3) & ~
% 196.66/31.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e2) & ~ (all_57_12 = e1) & ~
% 196.66/31.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e0) & ~ (all_57_19 = e1) & op(e2,
% 196.66/31.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_9) = all_57_8 & op(e2, all_57_11) =
% 196.66/31.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e2, all_57_13) = all_57_12 & op(e2,
% 196.66/31.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15) = all_57_14 & op(e2, e3) = all_57_9 &
% 196.66/31.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_11 & op(e2, e1) = all_57_13 &
% 196.66/31.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_15 & op(e1, e2) = all_57_19 &
% 196.66/31.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e2 & $i(all_57_8) & $i(all_57_9) &
% 196.66/31.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & $i(all_57_11) & $i(all_57_12) &
% 196.66/31.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13) & $i(all_57_14) & $i(all_57_15) &
% 196.66/31.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19)
% 196.66/31.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.66/31.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5528) implies:
% 196.66/31.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5529) op(e1, e1) = e2
% 196.66/31.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.66/31.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (5442), (5529), (function-axioms) are
% 196.66/31.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1919.
% 196.66/31.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.66/31.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 196.66/31.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.66/31.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5530) op(e0, e0) = all_57_31 & $i(all_57_31) &
% 196.66/31.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_21 = e0 & ~ (all_57_23 = e1) & ~
% 196.66/31.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 196.66/31.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) &
% 196.66/31.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = all_57_23 &
% 196.66/31.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_25) = all_57_24 & op(e0,
% 196.66/31.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27) = all_57_26 & op(e0, all_57_29) =
% 196.66/31.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_28 & op(e0, all_57_31) = all_57_30 &
% 196.66/31.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_25 & op(e0, e2) =
% 196.66/31.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27 & op(e0, e1) = all_57_29 &
% 196.66/31.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23) & $i(all_57_24) & $i(all_57_25)
% 196.66/31.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_26) & $i(all_57_27) &
% 196.66/31.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28) & $i(all_57_29) & $i(all_57_30))
% 196.66/31.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e3 & ~ (all_57_0 = e3) & ~
% 196.66/31.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e2) & ~ (all_57_4 = e1) & ~
% 196.66/31.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_6 = e0) & ~ (all_57_25 = e0) & op(e3,
% 196.66/31.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1) = all_57_0 & op(e3, all_57_3) =
% 196.66/31.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_2 & op(e3, all_57_5) = all_57_4 &
% 196.66/31.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, all_57_7) = all_57_6 & op(e3, e3) =
% 196.66/31.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e2) = all_57_3 & op(e3, e1)
% 196.66/31.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_5 & op(e3, e0) = all_57_7 & op(e0,
% 196.66/31.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_25 & $i(all_57_0) &
% 196.66/31.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_2) & $i(all_57_3) &
% 196.66/31.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4) & $i(all_57_5) & $i(all_57_6) &
% 196.66/31.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7) & $i(all_57_25)) | (all_57_31 =
% 196.66/31.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_8 = e3) & ~ (all_57_10 = e2)
% 196.66/31.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_12 = e1) & ~ (all_57_14 = e0) &
% 196.66/31.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_27 = e0) & op(e2, all_57_9) =
% 196.66/31.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_8 & op(e2, all_57_11) = all_57_10 &
% 196.66/31.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_13) = all_57_12 & op(e2,
% 196.66/31.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15) = all_57_14 & op(e2, e3) =
% 196.66/31.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_9 & op(e2, e2) = all_57_11 & op(e2, e1)
% 196.66/31.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_13 & op(e2, e0) = all_57_15 & op(e0,
% 196.66/31.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_27 & $i(all_57_8) &
% 196.66/31.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9) & $i(all_57_10) & $i(all_57_11) &
% 196.66/31.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & $i(all_57_13) & $i(all_57_14)
% 196.66/31.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_15) & $i(all_57_27)) | (all_57_31
% 196.66/31.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_16 = e3) & ~ (all_57_18 =
% 196.66/31.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_20 = e1) & ~ (all_57_22 =
% 196.66/31.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_29 = e0) & op(e1,
% 196.66/31.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17) = all_57_16 & op(e1, all_57_19) =
% 196.66/31.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_18 & op(e1, all_57_21) = all_57_20 &
% 196.66/31.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_23) = all_57_22 & op(e1, e3) =
% 196.66/31.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e1, e2) = all_57_19 & op(e1,
% 196.66/31.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_21 & op(e1, e0) = all_57_23 &
% 196.66/31.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = all_57_29 & $i(all_57_16) &
% 196.66/31.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_17) & $i(all_57_18) & $i(all_57_19)
% 196.66/31.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_20) & $i(all_57_21) &
% 196.66/31.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_23) &
% 196.66/31.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29)))
% 196.66/31.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.66/31.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5530) implies:
% 196.66/31.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5531) op(e0, e0) = all_57_31
% 196.66/31.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5532) (all_57_21 = e0 & ~ (all_57_23 = e1) & ~
% 196.66/31.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 196.66/31.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) & op(e1,
% 196.66/31.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0 & op(e1, e0) = all_57_23 & op(e0,
% 196.66/31.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25) = all_57_24 & op(e0, all_57_27) =
% 196.66/31.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e0, all_57_29) = all_57_28 &
% 196.66/31.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_31) = all_57_30 & op(e0, e3) =
% 196.66/31.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_27 & op(e0, e1)
% 196.66/31.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_29 & $i(all_57_23) & $i(all_57_24) &
% 196.66/31.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_25) & $i(all_57_26) & $i(all_57_27) &
% 196.66/31.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28) & $i(all_57_29) & $i(all_57_30)) |
% 196.66/31.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e3 & ~ (all_57_0 = e3) & ~
% 196.66/31.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e2) & ~ (all_57_4 = e1) & ~
% 196.66/31.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_6 = e0) & ~ (all_57_25 = e0) & op(e3,
% 196.66/31.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1) = all_57_0 & op(e3, all_57_3) =
% 196.66/31.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_2 & op(e3, all_57_5) = all_57_4 & op(e3,
% 196.66/31.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7) = all_57_6 & op(e3, e3) = all_57_1 &
% 196.66/31.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_3 & op(e3, e1) = all_57_5 &
% 196.66/31.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_7 & op(e0, e3) = all_57_25 &
% 196.66/31.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_0) & $i(all_57_1) & $i(all_57_2) &
% 196.66/31.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_3) & $i(all_57_4) & $i(all_57_5) &
% 196.66/31.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_6) & $i(all_57_7) & $i(all_57_25)) |
% 196.66/31.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e2 & ~ (all_57_8 = e3) & ~
% 196.66/31.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e2) & ~ (all_57_12 = e1) & ~
% 196.66/31.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e0) & ~ (all_57_27 = e0) & op(e2,
% 196.66/31.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_9) = all_57_8 & op(e2, all_57_11) =
% 196.66/31.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e2, all_57_13) = all_57_12 &
% 196.66/31.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_15) = all_57_14 & op(e2, e3) =
% 196.66/31.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_9 & op(e2, e2) = all_57_11 & op(e2, e1) =
% 196.66/31.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_13 & op(e2, e0) = all_57_15 & op(e0, e2)
% 196.66/31.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_27 & $i(all_57_8) & $i(all_57_9) &
% 196.66/31.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & $i(all_57_11) & $i(all_57_12) &
% 196.66/31.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13) & $i(all_57_14) & $i(all_57_15) &
% 196.66/31.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27)) | (all_57_31 = e1 & ~ (all_57_16
% 196.66/31.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_18 = e2) & ~ (all_57_20 =
% 196.66/31.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_22 = e0) & ~ (all_57_29 =
% 196.66/31.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & op(e1, all_57_17) = all_57_16 & op(e1,
% 196.66/31.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_19) = all_57_18 & op(e1, all_57_21) =
% 196.66/31.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20 & op(e1, all_57_23) = all_57_22 &
% 196.66/31.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_17 & op(e1, e2) = all_57_19
% 196.66/31.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = all_57_21 & op(e1, e0) =
% 196.66/31.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23 & op(e0, e1) = all_57_29 &
% 196.66/31.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_16) & $i(all_57_17) & $i(all_57_18) &
% 196.66/31.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_20) & $i(all_57_21) &
% 196.66/31.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_23) & $i(all_57_29))
% 196.66/31.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.66/31.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (209) gives:
% 196.66/31.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.66/31.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 196.66/31.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.66/31.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5533) (all_56_12 = e3 & op(e0, e3) = e3) | (all_56_13 =
% 196.66/31.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e2) = e3)
% 196.66/31.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.66/31.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5533) gives:
% 196.66/31.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.66/31.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 196.66/31.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.66/31.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5534) all_56_12 = e3 & op(e0, e3) = e3
% 196.66/31.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.66/31.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5534) implies:
% 196.66/31.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5535) all_56_12 = e3
% 196.66/31.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.66/31.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (231) gives:
% 196.66/31.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.66/31.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 196.66/31.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.66/31.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5536) (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_2 = e1
% 196.66/31.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e1)
% 196.66/31.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.66/31.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5536) gives:
% 196.66/31.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.66/31.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 196.66/31.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.66/31.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5537) all_56_0 = e1 & op(e3, e3) = e1
% 196.66/31.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.66/31.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5537) implies:
% 196.66/31.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5538) op(e3, e3) = e1
% 196.66/31.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.66/31.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (169), (230), (234),
% 196.66/31.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (236), (5135), (5488), (5538), (function-axioms)
% 196.66/31.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #989.
% 196.66/31.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.66/31.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 196.66/31.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.66/31.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5539) all_56_2 = e1 & op(e2, e3) = e1
% 196.66/31.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.66/31.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5539) implies:
% 196.66/31.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5540) all_56_2 = e1
% 196.66/31.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.66/31.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5483) gives:
% 196.66/31.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.66/31.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 196.66/31.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.66/31.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5541) all_54_3 = e2
% 196.66/31.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.66/31.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (270), (5136), (5541) are inconsistent by
% 196.66/31.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1080.
% 196.66/31.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.66/31.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 196.66/31.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.66/31.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5542) all_54_3 = e1 | all_54_3 = e0
% 196.66/31.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.66/31.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5542) gives:
% 196.66/31.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.66/31.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 196.66/31.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.66/31.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5543) all_54_3 = e1
% 196.66/31.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.66/31.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (270), (5543) imply:
% 196.66/31.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5544) all_52_12 = e1
% 196.66/31.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.66/31.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5544) implies:
% 196.66/31.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5545) all_52_12 = e1
% 196.66/31.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.66/31.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (113), (5545) imply:
% 196.66/31.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5546) ~ (all_52_13 = e1)
% 196.66/31.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.66/31.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5546) implies:
% 196.66/31.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5547) ~ (all_52_13 = e1)
% 196.66/31.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.66/31.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (112), (5545) imply:
% 196.66/31.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5548) ~ (all_52_14 = e1)
% 196.66/31.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.66/31.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5548) implies:
% 196.66/31.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5549) ~ (all_52_14 = e1)
% 196.66/31.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.66/31.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (193) gives:
% 196.66/31.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.66/31.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 196.66/31.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.66/31.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5550) all_54_11 = e3
% 196.66/31.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.66/31.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (250), (5441), (5550) are inconsistent by
% 196.66/31.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1835.
% 196.66/31.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.66/31.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 196.66/31.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.66/31.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5551) ~ (all_54_11 = e3)
% 196.66/31.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5552) all_54_11 = e2 | all_54_11 = e1 | all_54_11 = e0
% 196.66/31.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.66/31.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5552) gives:
% 196.66/31.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.66/31.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 196.66/31.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.66/31.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5553) all_54_11 = e2
% 196.66/31.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.66/31.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (250), (5553) imply:
% 196.66/31.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5554) all_52_14 = e2
% 196.66/31.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.66/31.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5554) implies:
% 196.66/31.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5555) all_52_14 = e2
% 196.66/31.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.66/31.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (110), (5555) imply:
% 196.66/31.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5556) ~ (all_52_13 = e2)
% 196.66/31.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.66/31.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (160), (5555) imply:
% 196.66/31.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5557) op(e1, e0) = e2
% 196.66/31.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.66/31.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (197) gives:
% 196.66/31.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.66/31.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 196.66/31.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.66/31.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5558) all_54_7 = e3
% 196.66/31.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.66/31.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (260), (5558) imply:
% 196.66/31.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5559) all_52_13 = e3
% 196.66/31.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.66/31.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5559) implies:
% 196.66/31.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5560) all_52_13 = e3
% 196.66/31.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.66/31.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5158), (5560) imply:
% 196.66/31.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5561) ~ (all_14_1 = e3)
% 196.66/31.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.66/31.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5561) implies:
% 196.66/31.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5562) ~ (all_14_1 = e3)
% 196.66/31.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.66/31.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (212) gives:
% 196.66/31.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.66/31.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 196.66/31.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.66/31.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5563) (all_56_9 = e3 & op(e3, e0) = e3) | (all_56_10 =
% 196.66/31.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e0) = e3)
% 196.66/31.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.66/31.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5563) gives:
% 196.66/31.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.66/31.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 196.66/31.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.66/31.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5564) all_56_9 = e3 & op(e3, e0) = e3
% 196.66/31.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.66/31.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5564) implies:
% 196.66/31.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5565) op(e3, e0) = e3
% 196.66/31.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.66/31.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (168), (5478), (5565), (function-axioms) are
% 196.66/31.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1928.
% 196.66/31.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.66/31.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 196.66/31.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.66/31.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5566) all_56_10 = e3 & op(e2, e0) = e3
% 196.66/31.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.66/31.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5566) implies:
% 196.66/31.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5567) all_56_10 = e3
% 196.66/31.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.66/31.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (223) gives:
% 196.66/31.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.66/31.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 196.66/31.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.66/31.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5568) (all_56_2 = e2 & op(e2, e3) = e2) | (all_56_3 = e2
% 196.66/31.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e2)
% 196.66/31.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.66/31.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (167), (5131), (5204), (5568),
% 196.66/31.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 196.66/31.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #997.
% 196.66/31.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.66/31.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 196.66/31.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.66/31.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5569) (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_10 =
% 196.66/31.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2)
% 196.66/31.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.66/31.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5569) gives:
% 196.66/31.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.66/31.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 196.66/31.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.66/31.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5570) all_56_5 = e2 & op(e2, e1) = e2
% 196.66/31.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.66/31.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5570) implies:
% 196.66/31.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5571) all_56_5 = e2
% 196.66/31.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.66/31.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (218) gives:
% 196.66/31.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.66/31.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 196.66/31.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.66/31.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5572) (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_5 = e1
% 196.66/31.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e1)
% 196.66/31.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.66/31.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5572) gives:
% 196.66/31.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.66/31.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 196.66/31.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.66/31.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5573) all_56_4 = e1 & op(e3, e1) = e1
% 196.66/31.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.66/31.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5573) implies:
% 196.66/31.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5574) all_56_4 = e1
% 196.66/31.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.66/31.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5468), (5574) imply:
% 196.66/31.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5575) e1 = e0
% 196.66/31.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.66/31.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (158), (162), (222),
% 196.66/31.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (223), (224), (225), (226), (227), (228), (5197),
% 196.66/31.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5198), (5204), (5540), (5567), (5575),
% 196.66/31.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 196.66/31.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1388.
% 196.66/31.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.66/31.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 196.66/31.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.66/31.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5576) all_56_5 = e1 & op(e2, e1) = e1
% 196.66/31.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.66/31.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (5571), (5576) are inconsistent by sub-proof
% 196.66/31.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1495.
% 196.66/31.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.66/31.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 196.66/31.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.66/31.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 196.66/31.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.66/31.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5577) (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_14 =
% 196.66/31.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e1) = e1)
% 196.66/31.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.66/31.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5577) gives:
% 196.66/31.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.66/31.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 196.66/31.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.66/31.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5578) all_56_8 = e1 & op(e1, e1) = e1
% 196.66/31.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.66/31.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5578) implies:
% 196.66/31.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5579) op(e1, e1) = e1
% 196.66/31.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.66/31.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (5442), (5579), (function-axioms) are
% 196.66/31.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1958.
% 196.66/31.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.66/31.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 196.66/31.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.66/31.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5580) all_56_14 = e1 & op(e0, e1) = e1
% 196.66/31.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.66/31.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5580) implies:
% 196.66/31.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5581) op(e0, e1) = e1
% 196.66/31.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.66/31.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (214) gives:
% 196.66/31.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.66/31.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 196.66/31.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.66/31.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5582) (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_7 = e1
% 196.66/31.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e1)
% 196.66/31.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.66/31.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5582) gives:
% 196.66/31.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.66/31.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 196.66/31.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.66/31.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5583) all_56_6 = e1 & op(e1, e3) = e1
% 196.66/31.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.66/31.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5583) implies:
% 196.66/31.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5584) all_56_6 = e1
% 196.66/31.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.66/31.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5473), (5584) imply:
% 196.66/31.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5585) e1 = e0
% 196.66/31.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.66/31.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (158), (162), (222),
% 196.66/31.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (223), (224), (225), (226), (227), (228), (5197),
% 196.66/31.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5198), (5204), (5540), (5567), (5585),
% 196.66/31.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 196.66/31.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1388.
% 196.66/31.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.66/31.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 196.66/31.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.66/31.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5586) all_56_7 = e1 & op(e1, e2) = e1
% 196.66/31.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.66/31.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5586) implies:
% 196.66/31.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5587) op(e1, e2) = e1
% 196.66/31.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.66/31.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (200) gives:
% 196.66/31.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.66/31.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 196.66/31.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.66/31.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5588) all_54_4 = e3
% 196.66/31.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.66/31.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5150), (5562), (5588) are inconsistent by
% 196.66/31.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #984.
% 196.66/31.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.66/31.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 196.66/31.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.66/31.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5589) all_54_4 = e2 | all_54_4 = e1 | all_54_4 = e0
% 196.66/31.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.66/31.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5589) gives:
% 196.66/31.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.66/31.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 196.66/31.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.66/31.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5590) all_54_4 = e2
% 196.66/31.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.66/31.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5150), (5160), (5590) are inconsistent by
% 196.66/31.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #983.
% 196.66/31.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.66/31.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 196.66/31.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.66/31.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5591) all_54_4 = e1 | all_54_4 = e0
% 196.66/31.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.66/31.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5129) gives:
% 196.66/31.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.66/31.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 196.66/31.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.66/31.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5592) ~ (all_14_1 = e1)
% 196.66/31.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.66/31.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5591) gives:
% 196.66/31.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.66/31.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 196.66/31.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.66/31.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5593) all_54_4 = e1
% 196.66/31.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.66/31.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5150), (5592), (5593) are inconsistent by
% 196.66/31.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #982.
% 196.66/31.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.66/31.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 196.66/31.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.66/31.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5594) all_54_4 = e0
% 196.66/31.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.66/31.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5150), (5201), (5594) are inconsistent by
% 196.66/31.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #981.
% 196.66/31.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.66/31.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 196.66/31.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.66/31.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 196.66/31.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.66/31.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5595) ~ (all_14_0 = e0) & op(e1, e2) = all_14_0 &
% 196.66/31.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_14_0)
% 196.66/31.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.66/31.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5595) implies:
% 196.66/31.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5596) ~ (all_14_0 = e0)
% 196.66/31.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5597) op(e1, e2) = all_14_0
% 196.66/31.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.66/31.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e0,
% 196.66/31.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_31, e0, e0, simplifying with (5465), (5531)
% 196.66/31.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 196.66/31.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5598) all_57_31 = e0
% 196.66/31.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.66/31.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e1, all_14_0,
% 196.66/31.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2, e1, simplifying with (5587), (5597) gives:
% 196.66/31.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5599) all_14_0 = e1
% 196.66/31.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.66/31.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5532) gives:
% 196.66/31.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.66/31.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 196.66/31.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.66/31.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5600) (all_57_21 = e0 & ~ (all_57_23 = e1) & ~
% 196.66/31.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 196.66/31.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) & op(e1,
% 196.66/31.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0 & op(e1, e0) = all_57_23 & op(e0,
% 196.66/31.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25) = all_57_24 & op(e0, all_57_27) =
% 196.66/31.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e0, all_57_29) = all_57_28 &
% 196.66/31.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_31) = all_57_30 & op(e0, e3) =
% 196.66/31.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_27 & op(e0, e1)
% 196.66/31.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_29 & $i(all_57_23) & $i(all_57_24) &
% 196.66/31.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_25) & $i(all_57_26) & $i(all_57_27) &
% 196.66/31.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28) & $i(all_57_29) & $i(all_57_30)) |
% 196.66/31.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e3 & ~ (all_57_0 = e3) & ~
% 196.66/31.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e2) & ~ (all_57_4 = e1) & ~
% 196.66/31.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_6 = e0) & ~ (all_57_25 = e0) & op(e3,
% 196.66/31.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1) = all_57_0 & op(e3, all_57_3) =
% 196.66/31.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_2 & op(e3, all_57_5) = all_57_4 & op(e3,
% 196.66/31.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7) = all_57_6 & op(e3, e3) = all_57_1 &
% 196.66/31.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_3 & op(e3, e1) = all_57_5 &
% 196.66/31.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_7 & op(e0, e3) = all_57_25 &
% 196.66/31.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_0) & $i(all_57_1) & $i(all_57_2) &
% 196.66/31.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_3) & $i(all_57_4) & $i(all_57_5) &
% 196.66/31.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_6) & $i(all_57_7) & $i(all_57_25))
% 196.66/31.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.66/31.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5600) gives:
% 196.66/31.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.66/31.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 196.66/31.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.66/31.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5601) all_57_21 = e0 & ~ (all_57_23 = e1) & ~
% 196.66/31.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 196.66/31.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) & op(e1,
% 196.66/31.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0 & op(e1, e0) = all_57_23 & op(e0,
% 196.66/31.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25) = all_57_24 & op(e0, all_57_27) =
% 196.66/31.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e0, all_57_29) = all_57_28 & op(e0,
% 196.66/31.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_31) = all_57_30 & op(e0, e3) = all_57_25
% 196.66/31.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e2) = all_57_27 & op(e0, e1) = all_57_29
% 196.66/31.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_23) & $i(all_57_24) & $i(all_57_25) &
% 196.66/31.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_27) & $i(all_57_28) &
% 196.66/31.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29) & $i(all_57_30)
% 196.66/31.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.66/31.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5601) implies:
% 196.66/31.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5602) ~ (all_57_28 = e1)
% 196.66/31.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5603) op(e0, e1) = all_57_29
% 196.66/31.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5604) op(e0, all_57_29) = all_57_28
% 196.66/31.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.66/31.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5581), (5602), (5603), (5604), (function-axioms)
% 196.66/31.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1856.
% 196.66/31.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.66/31.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 196.66/31.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.66/31.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5605) all_57_31 = e3 & ~ (all_57_0 = e3) & ~ (all_57_2
% 196.66/31.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2) & ~ (all_57_4 = e1) & ~ (all_57_6 = e0)
% 196.66/31.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_25 = e0) & op(e3, all_57_1) =
% 196.66/31.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_0 & op(e3, all_57_3) = all_57_2 & op(e3,
% 196.66/31.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_5) = all_57_4 & op(e3, all_57_7) =
% 196.66/31.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_6 & op(e3, e3) = all_57_1 & op(e3, e2) =
% 196.66/31.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 & op(e3, e1) = all_57_5 & op(e3, e0) =
% 196.66/31.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7 & op(e0, e3) = all_57_25 & $i(all_57_0) &
% 196.66/31.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_2) & $i(all_57_3) &
% 196.66/31.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4) & $i(all_57_5) & $i(all_57_6) &
% 196.66/31.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7) & $i(all_57_25)
% 196.66/31.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.66/31.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5605) implies:
% 196.66/31.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5606) ~ (all_57_6 = e0)
% 196.66/31.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5607) op(e3, e0) = all_57_7
% 196.66/31.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5608) op(e3, e1) = all_57_5
% 196.66/31.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5609) op(e3, all_57_7) = all_57_6
% 196.66/31.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.66/31.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5469), (5489), (5606), (5607), (5608), (5609),
% 196.66/31.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 196.66/31.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #988.
% 196.66/31.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.66/31.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 196.66/31.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.66/31.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 196.66/31.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.66/31.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5610) (all_57_31 = e2 & ~ (all_57_8 = e3) & ~
% 196.66/31.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e2) & ~ (all_57_12 = e1) & ~
% 196.66/31.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e0) & ~ (all_57_27 = e0) & op(e2,
% 196.66/31.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_9) = all_57_8 & op(e2, all_57_11) =
% 196.66/31.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e2, all_57_13) = all_57_12 &
% 196.66/31.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_15) = all_57_14 & op(e2, e3) =
% 196.66/31.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_9 & op(e2, e2) = all_57_11 & op(e2, e1) =
% 196.66/31.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_13 & op(e2, e0) = all_57_15 & op(e0, e2)
% 196.66/31.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_27 & $i(all_57_8) & $i(all_57_9) &
% 196.66/31.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & $i(all_57_11) & $i(all_57_12) &
% 196.66/31.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13) & $i(all_57_14) & $i(all_57_15) &
% 196.66/31.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27)) | (all_57_31 = e1 & ~ (all_57_16
% 196.66/31.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_18 = e2) & ~ (all_57_20 =
% 196.66/31.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_22 = e0) & ~ (all_57_29 =
% 196.66/31.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & op(e1, all_57_17) = all_57_16 & op(e1,
% 196.66/31.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_19) = all_57_18 & op(e1, all_57_21) =
% 196.66/31.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20 & op(e1, all_57_23) = all_57_22 &
% 196.66/31.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_17 & op(e1, e2) = all_57_19
% 196.66/31.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = all_57_21 & op(e1, e0) =
% 196.66/31.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23 & op(e0, e1) = all_57_29 &
% 196.66/31.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_16) & $i(all_57_17) & $i(all_57_18) &
% 196.66/31.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_20) & $i(all_57_21) &
% 196.66/31.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_23) & $i(all_57_29))
% 196.66/31.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.66/31.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5610) gives:
% 196.66/31.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.66/31.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 196.66/31.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.66/31.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5611) all_57_31 = e2 & ~ (all_57_8 = e3) & ~
% 196.66/31.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e2) & ~ (all_57_12 = e1) & ~
% 196.66/31.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e0) & ~ (all_57_27 = e0) & op(e2,
% 196.66/31.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_9) = all_57_8 & op(e2, all_57_11) =
% 196.66/31.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e2, all_57_13) = all_57_12 & op(e2,
% 196.66/31.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15) = all_57_14 & op(e2, e3) = all_57_9 &
% 196.66/31.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_11 & op(e2, e1) = all_57_13 &
% 196.66/31.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_15 & op(e0, e2) = all_57_27 &
% 196.66/31.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8) & $i(all_57_9) & $i(all_57_10) &
% 196.66/31.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_12) & $i(all_57_13) &
% 196.66/31.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & $i(all_57_15) & $i(all_57_27)
% 196.66/31.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.66/31.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5611) implies:
% 196.66/31.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5612) all_57_31 = e2
% 196.66/31.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.66/31.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5598), (5612) imply:
% 196.66/31.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5613) e2 = e0
% 196.66/31.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.66/31.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (158), (162), (222),
% 196.66/31.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (223), (224), (225), (226), (227), (228), (5197),
% 196.66/31.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5198), (5204), (5567), (5571), (5613),
% 196.66/31.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 196.66/31.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #980.
% 196.66/31.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.66/31.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 196.66/31.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.66/31.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5614) all_57_31 = e1 & ~ (all_57_16 = e3) & ~
% 196.66/31.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_18 = e2) & ~ (all_57_20 = e1) & ~
% 196.66/31.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_22 = e0) & ~ (all_57_29 = e0) & op(e1,
% 196.66/31.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17) = all_57_16 & op(e1, all_57_19) =
% 196.66/31.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_18 & op(e1, all_57_21) = all_57_20 & op(e1,
% 196.66/31.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23) = all_57_22 & op(e1, e3) = all_57_17
% 196.66/31.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = all_57_19 & op(e1, e1) = all_57_21
% 196.66/31.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e0) = all_57_23 & op(e0, e1) = all_57_29
% 196.66/31.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_16) & $i(all_57_17) & $i(all_57_18) &
% 196.66/31.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_20) & $i(all_57_21) &
% 196.66/31.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_23) & $i(all_57_29)
% 196.66/31.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.66/31.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5614) implies:
% 196.66/31.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5615) all_57_31 = e1
% 196.66/31.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.66/31.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5598), (5615) imply:
% 196.66/31.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5616) e1 = e0
% 196.66/31.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.66/31.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (158), (162), (222),
% 196.66/31.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (223), (224), (225), (226), (227), (228), (5197),
% 196.66/31.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5198), (5204), (5540), (5567), (5616),
% 196.66/31.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 196.66/31.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1388.
% 196.66/31.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.66/31.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 196.66/31.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.66/31.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 196.66/31.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.66/31.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 196.66/31.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.66/31.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 196.66/31.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.66/31.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 196.66/31.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.66/31.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 196.66/31.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.66/31.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 196.66/31.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.66/31.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5617) (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_11 =
% 196.66/31.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e1, e0) = e1)
% 196.66/31.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.66/31.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5617) gives:
% 196.66/31.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.66/31.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 196.66/31.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.66/31.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5618) all_56_8 = e1 & op(e1, e1) = e1
% 196.66/31.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.66/31.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5618) implies:
% 196.66/31.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5619) op(e1, e1) = e1
% 196.66/31.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.66/31.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (5442), (5619), (function-axioms) are
% 196.66/31.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1958.
% 196.66/31.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.66/31.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 196.66/31.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.66/31.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5620) all_56_11 = e1 & op(e1, e0) = e1
% 196.66/31.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.66/31.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5620) implies:
% 196.66/31.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5621) op(e1, e0) = e1
% 196.66/31.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.66/31.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (5557), (5621), (function-axioms) are
% 196.66/31.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1709.
% 196.66/31.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.66/31.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 196.66/31.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.66/31.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 196.66/31.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.66/31.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 196.66/31.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.66/31.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 196.66/31.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.66/31.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 196.66/31.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.66/31.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5622) all_56_10 = e2 & op(e2, e0) = e2
% 196.66/31.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.66/31.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5622) implies:
% 196.66/31.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5623) op(e2, e0) = e2
% 196.66/31.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.66/31.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (5556), (5623), (function-axioms) are
% 196.66/31.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1941.
% 196.66/31.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.66/31.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 196.66/31.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.66/31.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 196.66/31.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.66/31.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 196.66/31.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.66/31.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 196.66/31.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.66/31.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5624) (all_56_11 = e3 & op(e1, e0) = e3) | (all_56_15 =
% 196.66/31.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = e3)
% 196.66/31.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.66/31.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (160), (206), (207),
% 196.66/31.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (208), (5441), (5535), (5624), (function-axioms)
% 196.66/31.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1441.
% 196.66/31.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.66/31.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 196.66/31.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.66/31.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 196.66/31.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.66/31.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5625) all_54_7 = e2 | all_54_7 = e1 | all_54_7 = e0
% 196.66/31.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.66/31.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (260), (5200), (5547), (5556), (5625) are
% 196.66/31.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1004.
% 196.66/31.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.66/31.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 196.66/31.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.66/31.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 196.66/31.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.66/31.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5626) all_54_11 = e1 | all_54_11 = e0
% 196.66/31.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.66/31.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (250), (5463), (5549), (5626) are inconsistent by
% 196.66/31.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #978.
% 196.66/31.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.66/31.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 196.66/31.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.66/31.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 196.66/31.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.66/31.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 196.66/31.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.66/31.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5627) all_54_3 = e0
% 196.66/31.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.66/31.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (270), (5462), (5627) are inconsistent by
% 196.66/31.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1764.
% 196.66/31.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.66/31.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 196.66/31.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.66/31.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 196.66/31.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.66/31.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 196.66/31.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.66/31.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 196.66/31.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.66/31.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5628) (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_12 =
% 196.66/31.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e3) = e1)
% 196.66/31.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.66/31.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5628) gives:
% 196.66/31.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.66/31.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 196.66/31.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.66/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5629) all_56_6 = e1 & op(e1, e3) = e1
% 196.66/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.66/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5629) implies:
% 196.66/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5630) all_56_6 = e1
% 196.66/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.66/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5473), (5630) imply:
% 196.66/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5631) e1 = e0
% 196.66/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.66/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (8), (232), (5145), (5468), (5488),
% 196.66/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5493), (5631), (function-axioms) are inconsistent
% 196.66/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #977.
% 196.66/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.66/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 196.66/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.66/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5632) all_56_12 = e1 & op(e0, e3) = e1
% 196.66/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.66/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5632) implies:
% 196.66/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5633) all_56_12 = e1
% 196.66/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.66/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5535), (5633) imply:
% 196.66/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5634) e3 = e1
% 196.66/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.66/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5493), (5634) imply:
% 196.66/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5635) all_56_1 = e1
% 196.66/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.66/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (9), (168), (169), (236), (5144), (5438),
% 196.66/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5478), (5635), (function-axioms) are inconsistent
% 196.66/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #994.
% 196.66/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.66/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 196.66/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.66/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 196.66/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.66/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 196.66/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.66/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5636) all_56_13 = e3 & op(e0, e2) = e3
% 196.66/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.66/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5636) implies:
% 196.66/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5637) all_56_13 = e3
% 196.66/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.66/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (208) gives:
% 196.66/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.66/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 196.66/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.66/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5638) (all_56_12 = e2 & op(e0, e3) = e2) | (all_56_13 =
% 196.66/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e2)
% 196.66/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.66/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5638) gives:
% 196.66/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.66/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 196.66/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.66/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5639) all_56_12 = e2 & op(e0, e3) = e2
% 196.66/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.66/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (159), (5133), (5639), (function-axioms) are
% 196.66/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1847.
% 196.66/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.66/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 196.66/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.66/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5640) all_56_13 = e2 & op(e0, e2) = e2
% 196.66/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.66/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (5637), (5640) are inconsistent by sub-proof
% 196.66/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1686.
% 196.66/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.66/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 196.66/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.66/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 196.66/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.66/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5641) (all_56_14 = e2 & op(e0, e1) = e2) | (all_56_15 =
% 196.66/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = e2)
% 196.66/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.66/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5641) gives:
% 196.66/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.66/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 196.66/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.66/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5642) all_56_14 = e2 & op(e0, e1) = e2
% 196.66/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.66/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5642) implies:
% 196.66/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5643) all_56_14 = e2
% 196.66/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.66/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (212) gives:
% 196.66/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.66/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 196.66/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.66/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5644) (all_56_9 = e3 & op(e3, e0) = e3) | (all_56_10 =
% 196.66/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e0) = e3)
% 196.66/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.66/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5644) gives:
% 196.66/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.66/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 196.66/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.66/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5645) all_56_9 = e3 & op(e3, e0) = e3
% 196.66/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.66/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5645) implies:
% 196.66/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5646) op(e3, e0) = e3
% 196.66/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.66/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (168), (5478), (5646), (function-axioms) are
% 196.66/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1928.
% 196.66/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.66/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 196.66/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.66/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5647) all_56_10 = e3 & op(e2, e0) = e3
% 196.66/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.66/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5647) implies:
% 196.66/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5648) all_56_10 = e3
% 196.66/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.66/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (223) gives:
% 196.66/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.66/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 196.66/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.66/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5649) (all_56_2 = e2 & op(e2, e3) = e2) | (all_56_3 = e2
% 196.66/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e2)
% 196.66/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.66/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (167), (5131), (5204), (5649),
% 196.66/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 196.66/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #997.
% 196.66/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.66/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 196.66/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.66/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5650) (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_10 =
% 196.66/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2)
% 196.66/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.66/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5650) gives:
% 196.66/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.66/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 196.66/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.66/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5651) all_56_5 = e2 & op(e2, e1) = e2
% 196.66/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.66/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5651) implies:
% 196.66/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5652) all_56_5 = e2
% 196.66/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.66/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (218) gives:
% 196.66/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.66/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 196.66/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.66/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5653) (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_5 = e1
% 196.66/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e1)
% 196.66/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.66/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5653) gives:
% 196.66/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.66/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 196.66/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.66/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5654) all_56_4 = e1 & op(e3, e1) = e1
% 196.66/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.66/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5654) implies:
% 196.66/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5655) all_56_4 = e1
% 196.66/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.66/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5468), (5655) imply:
% 196.66/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5656) e1 = e0
% 196.66/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.66/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (8), (232), (5145), (5468), (5488),
% 196.66/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5493), (5656), (function-axioms) are inconsistent
% 196.66/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #977.
% 196.66/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.66/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 196.66/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.66/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5657) all_56_5 = e1 & op(e2, e1) = e1
% 196.66/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.66/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (5652), (5657) are inconsistent by sub-proof
% 196.66/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1495.
% 196.66/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.66/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 196.66/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.66/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 196.66/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.66/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5658) (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_14 =
% 196.66/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e1) = e1)
% 196.66/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.66/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (8), (5442), (5643), (5658),
% 196.66/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 196.66/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #975.
% 196.66/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.66/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 196.66/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.66/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 196.66/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.66/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5659) all_56_10 = e2 & op(e2, e0) = e2
% 196.66/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.66/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (5648), (5659) are inconsistent by sub-proof
% 196.66/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1796.
% 196.66/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.66/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 196.66/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.66/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 196.66/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.66/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 196.66/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.66/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 196.66/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.66/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5660) (all_56_11 = e3 & op(e1, e0) = e3) | (all_56_15 =
% 196.66/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = e3)
% 196.66/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.66/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5660) gives:
% 196.66/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.66/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 196.66/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.66/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5661) all_56_11 = e3 & op(e1, e0) = e3
% 196.66/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.66/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (160), (5441), (5661), (function-axioms) are
% 196.66/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1762.
% 196.66/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.66/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 196.66/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.66/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5662) all_56_15 = e3 & op(e0, e0) = e3
% 196.66/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.66/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5662) implies:
% 196.66/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5663) op(e0, e0) = e3
% 196.66/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.66/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (206), (207), (5637),
% 196.66/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5643), (5663), (function-axioms) are inconsistent
% 196.66/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1647.
% 196.66/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.66/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 196.66/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.66/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 196.66/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.66/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 196.66/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.66/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5664) all_56_15 = e2 & op(e0, e0) = e2
% 196.66/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.66/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5664) implies:
% 196.66/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5665) op(e0, e0) = e2
% 196.66/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.66/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (5465), (5665), (function-axioms) are
% 196.66/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1869.
% 196.66/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.66/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 196.66/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.66/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 196.66/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.66/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 196.66/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.66/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 196.66/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.66/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5666) (all_56_14 = e3 & op(e0, e1) = e3) | (all_56_15 =
% 196.66/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = e3)
% 196.66/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.66/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (157), (5440), (5465), (5666),
% 196.66/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 196.66/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #986.
% 196.66/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.66/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 196.66/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.66/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 196.66/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.66/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 196.66/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.66/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 196.66/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.66/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 196.66/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.66/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 196.66/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.66/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 196.66/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.66/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5667) (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_9 = e3
% 196.66/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e3)
% 196.66/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.66/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (168), (169), (5438), (5478), (5667),
% 196.66/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 196.66/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1616.
% 196.66/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.66/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 196.66/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.66/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 196.66/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.66/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 196.66/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.66/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 196.66/31.21 | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.66/31.21 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 196.66/31.21 | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.66/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | (5668) ~ (all_54_1 = e3)
% 196.66/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | (5669) all_54_1 = e2 | all_54_1 = e1 | all_54_1 = e0
% 196.66/31.21 | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.66/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (272), (5668) imply:
% 196.66/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | (5670) ~ (all_52_4 = e3)
% 196.66/31.21 | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.66/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (236) gives:
% 196.66/31.21 | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.66/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 196.66/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.66/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | (5671) (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_1 = e3
% 196.66/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e3)
% 196.66/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.66/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (170), (5144), (5670), (5671),
% 196.66/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 196.66/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | #1460.
% 196.66/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.66/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 196.66/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.66/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | (5672) (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_9 = e3
% 196.66/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e3)
% 196.66/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.66/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5672) gives:
% 196.66/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.66/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 196.66/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.66/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | (5673) all_56_4 = e3 & op(e3, e1) = e3
% 196.66/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.66/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5673) implies:
% 196.66/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | (5674) op(e3, e1) = e3
% 196.66/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.66/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (169), (5438), (5674), (function-axioms) are
% 196.66/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1930.
% 196.66/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.66/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 196.66/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.66/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | (5675) all_56_9 = e3 & op(e3, e0) = e3
% 196.66/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.66/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5675) implies:
% 196.66/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | (5676) all_56_9 = e3
% 196.66/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.66/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (232) gives:
% 196.66/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.66/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 196.66/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.66/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5677) (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_1 = e1
% 196.66/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e1)
% 196.66/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.66/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5677) gives:
% 196.66/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.66/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 196.66/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.66/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5678) all_56_0 = e1 & op(e3, e3) = e1
% 196.66/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.66/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5678) implies:
% 196.66/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5679) op(e3, e3) = e1
% 196.66/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.66/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (5145), (5679), (function-axioms) are
% 196.66/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1966.
% 196.66/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.66/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 196.66/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.66/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5680) all_56_1 = e1 & op(e3, e2) = e1
% 196.66/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.66/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5680) implies:
% 196.66/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5681) all_56_1 = e1
% 196.66/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.66/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (228) gives:
% 196.66/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.66/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 196.66/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.66/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5682) (all_56_1 = e3 & op(e3, e2) = e3) | (all_56_3 = e3
% 196.80/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e3)
% 196.80/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.80/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (170), (5204), (5670), (5682),
% 196.80/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 196.80/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1351.
% 196.80/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.80/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 196.80/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.80/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5683) (all_56_7 = e3 & op(e1, e2) = e3) | (all_56_13 =
% 196.80/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e2) = e3)
% 196.80/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.80/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5683) gives:
% 196.80/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.80/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 196.80/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.80/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5684) all_56_7 = e3 & op(e1, e2) = e3
% 196.80/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.80/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (162), (5437), (5684), (function-axioms) are
% 196.80/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1827.
% 196.80/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.80/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 196.80/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.80/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5685) all_56_13 = e3 & op(e0, e2) = e3
% 196.80/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.80/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5685) implies:
% 196.80/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5686) all_56_13 = e3
% 196.80/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.80/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (227) gives:
% 196.80/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.80/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 196.80/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.80/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5687) (all_56_1 = e2 & op(e3, e2) = e2) | (all_56_3 = e2
% 196.80/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e2)
% 196.80/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.80/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (170), (5134), (5204), (5687),
% 196.80/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 196.80/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1440.
% 196.80/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.80/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 196.80/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.80/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5688) (all_56_7 = e2 & op(e1, e2) = e2) | (all_56_13 =
% 196.80/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e2)
% 196.80/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.80/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5688) gives:
% 196.80/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.80/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 196.80/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.80/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5689) all_56_7 = e2 & op(e1, e2) = e2
% 196.80/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.80/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5689) implies:
% 196.80/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5690) all_56_7 = e2
% 196.80/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.80/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (214) gives:
% 196.80/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.80/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 196.80/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.80/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5691) (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_7 = e1
% 196.80/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e1)
% 196.80/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.80/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5691) gives:
% 196.80/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.80/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 196.80/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.80/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5692) all_56_6 = e1 & op(e1, e3) = e1
% 196.80/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.80/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5692) implies:
% 196.80/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5693) all_56_6 = e1
% 196.80/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.80/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5473), (5693) imply:
% 196.80/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5694) e1 = e0
% 196.80/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.80/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5694) implies:
% 196.80/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5695) e1 = e0
% 196.80/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.80/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5681), (5695) imply:
% 196.80/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5696) all_56_1 = e0
% 196.80/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.80/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (7), (8), (9), (226), (228), (5204),
% 196.80/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5690), (5696), (function-axioms) are inconsistent
% 196.80/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1502.
% 196.80/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.80/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 196.80/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.80/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5697) all_56_7 = e1 & op(e1, e2) = e1
% 196.80/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.80/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5697) implies:
% 196.80/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5698) all_56_7 = e1
% 196.80/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.80/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (5690), (5698) are inconsistent by sub-proof
% 196.80/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1664.
% 196.80/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.80/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 196.80/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.80/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 196.80/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.80/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5699) (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_11 =
% 196.80/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e1, e0) = e1)
% 196.80/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.80/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5699) gives:
% 196.80/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.80/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 196.80/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.80/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5700) all_56_8 = e1 & op(e1, e1) = e1
% 196.80/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.80/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5700) implies:
% 196.80/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5701) op(e1, e1) = e1
% 196.80/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.80/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (5442), (5701), (function-axioms) are
% 196.80/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1958.
% 196.80/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.80/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 196.80/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.80/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5702) all_56_11 = e1 & op(e1, e0) = e1
% 196.80/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.80/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5702) implies:
% 196.80/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5703) all_56_11 = e1
% 196.80/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5704) op(e1, e0) = e1
% 196.80/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.80/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (211) gives:
% 196.80/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.80/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 196.80/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.80/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5705) (all_56_9 = e2 & op(e3, e0) = e2) | (all_56_10 =
% 196.80/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2)
% 196.80/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.80/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5705) gives:
% 196.80/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.80/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 196.80/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.80/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5706) all_56_9 = e2 & op(e3, e0) = e2
% 196.80/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.80/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (168), (5136), (5706), (function-axioms) are
% 196.80/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1760.
% 196.80/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.80/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 196.80/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.80/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5707) all_56_10 = e2 & op(e2, e0) = e2
% 196.80/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.80/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5707) implies:
% 196.80/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5708) all_56_10 = e2
% 196.80/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.80/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (224) gives:
% 196.80/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.80/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 196.80/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.80/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5709) (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3
% 196.80/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e3)
% 196.80/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.80/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5709) gives:
% 196.80/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.80/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 196.80/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.80/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5710) all_56_2 = e3 & op(e2, e3) = e3
% 196.80/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.80/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5710) implies:
% 196.80/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5711) all_56_2 = e3
% 196.80/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5712) op(e2, e3) = e3
% 196.80/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.80/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (222) gives:
% 196.80/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.80/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 196.80/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.80/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5713) (all_56_2 = e1 & op(e2, e3) = e1) | (all_56_3 = e1
% 196.80/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1)
% 196.80/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.80/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (8), (5204), (5711), (5713),
% 196.80/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 196.80/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1470.
% 196.80/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.80/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 196.80/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.80/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5714) (all_56_5 = e1 & op(e2, e1) = e1) | (all_56_10 =
% 196.80/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e2, e0) = e1)
% 196.80/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.80/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5714) gives:
% 196.80/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.80/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 196.80/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.80/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5715) all_56_5 = e1 & op(e2, e1) = e1
% 196.80/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.80/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5715) implies:
% 196.80/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5716) all_56_5 = e1
% 196.80/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.80/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (219) gives:
% 196.80/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.80/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 196.80/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.80/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5717) (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2
% 196.80/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e2)
% 196.80/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.80/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5717) gives:
% 196.80/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.80/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 196.80/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.80/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5718) all_56_4 = e2 & op(e3, e1) = e2
% 196.80/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.80/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5718) implies:
% 196.80/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5719) op(e3, e1) = e2
% 196.80/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.80/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (169), (5135), (5719), (function-axioms) are
% 196.80/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1071.
% 196.80/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.80/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 196.80/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.80/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5720) all_56_5 = e2 & op(e2, e1) = e2
% 196.80/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.80/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5720) implies:
% 196.80/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5721) all_56_5 = e2
% 196.80/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.80/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5716), (5721) imply:
% 196.80/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5722) e2 = e1
% 196.80/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.80/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5722) implies:
% 196.80/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5723) e2 = e1
% 196.80/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.80/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5708), (5723) imply:
% 196.80/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5724) all_56_10 = e1
% 196.80/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.80/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (7), (8), (9), (223), (224), (5204),
% 196.80/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5716), (5724), (function-axioms) are inconsistent
% 196.80/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1450.
% 196.80/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.80/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 196.80/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.80/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 196.80/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.80/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5725) (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 =
% 196.80/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e1) = e2)
% 196.80/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.80/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5725) gives:
% 196.80/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.80/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 196.80/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.80/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5726) all_56_8 = e2 & op(e1, e1) = e2
% 196.80/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.80/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5726) implies:
% 196.80/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5727) op(e1, e1) = e2
% 196.80/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.80/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (8), (9), (162), (213), (216),
% 196.80/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5197), (5690), (5703), (5704), (5727),
% 196.80/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 196.80/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #973.
% 196.80/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.80/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 196.80/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.80/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5728) all_56_14 = e2 & op(e0, e1) = e2
% 196.80/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.80/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5728) implies:
% 196.80/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5729) all_56_14 = e2
% 196.80/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5730) op(e0, e1) = e2
% 196.80/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.80/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (231) gives:
% 196.80/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.80/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 196.80/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.80/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5731) (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_2 = e1
% 196.80/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e1)
% 196.80/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.80/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (8), (5145), (5711), (5731),
% 196.80/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 196.80/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #972.
% 196.80/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.80/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 196.80/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.80/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5732) (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_12 =
% 196.80/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e3) = e1)
% 196.80/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.80/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5732) gives:
% 196.80/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.80/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 196.80/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.80/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5733) all_56_6 = e1 & op(e1, e3) = e1
% 196.80/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.80/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5733) implies:
% 196.80/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5734) all_56_6 = e1
% 196.80/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.80/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (7), (8), (9), (226), (228), (5204),
% 196.80/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5473), (5681), (5690), (5734), (function-axioms)
% 196.80/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1429.
% 196.80/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.80/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 196.80/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.80/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5735) all_56_12 = e1 & op(e0, e3) = e1
% 196.80/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.80/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5735) implies:
% 196.80/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5736) all_56_12 = e1
% 196.80/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.80/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5669) gives:
% 196.80/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.80/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 196.80/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.80/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5737) all_54_1 = e2
% 196.80/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.80/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (272), (5134), (5737) are inconsistent by
% 196.80/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #971.
% 196.80/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.80/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 196.80/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.80/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5738) ~ (all_54_1 = e2)
% 196.80/31.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5739) all_54_1 = e1 | all_54_1 = e0
% 196.80/31.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.80/31.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5739) gives:
% 196.80/31.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.80/31.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 196.80/31.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.80/31.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5740) all_54_1 = e1
% 196.80/31.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.80/31.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (272), (5740) imply:
% 196.80/31.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5741) all_52_4 = e1
% 196.80/31.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.80/31.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5741) implies:
% 196.80/31.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5742) all_52_4 = e1
% 196.80/31.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.80/31.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (136), (5742) imply:
% 196.80/31.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5743) ~ (all_52_6 = e1)
% 196.80/31.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.80/31.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5743) implies:
% 196.80/31.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5744) ~ (all_52_6 = e1)
% 196.80/31.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.80/31.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (201) gives:
% 196.80/31.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.80/31.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 196.80/31.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.80/31.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5745) all_54_3 = e3
% 196.80/31.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.80/31.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (270), (5745) imply:
% 196.80/31.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5746) all_52_12 = e3
% 196.80/31.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.80/31.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5746) implies:
% 196.80/31.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5747) all_52_12 = e3
% 196.80/31.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.80/31.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (113), (5747) imply:
% 196.80/31.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5748) ~ (all_52_13 = e3)
% 196.80/31.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.80/31.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5748) implies:
% 196.80/31.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5749) ~ (all_52_13 = e3)
% 196.80/31.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.80/31.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (112), (5747) imply:
% 196.80/31.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5750) ~ (all_52_14 = e3)
% 196.80/31.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.80/31.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (168), (5747) imply:
% 196.80/31.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5751) op(e3, e0) = e3
% 196.80/31.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.80/31.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (195) gives:
% 196.80/31.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.80/31.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 196.80/31.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.80/31.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5752) all_54_9 = e3
% 196.80/31.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.80/31.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (258), (5437), (5752) are inconsistent by
% 196.80/31.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1346.
% 196.80/31.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.80/31.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 196.80/31.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.80/31.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5753) all_54_9 = e2 | all_54_9 = e1 | all_54_9 = e0
% 196.80/31.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.80/31.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5753) gives:
% 196.80/31.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.80/31.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 196.80/31.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.80/31.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5754) all_54_9 = e2
% 196.80/31.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.80/31.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (258), (5754) imply:
% 196.80/31.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5755) all_52_6 = e2
% 196.80/31.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.80/31.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5755) implies:
% 196.80/31.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5756) all_52_6 = e2
% 196.80/31.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.80/31.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (126), (5756) imply:
% 196.80/31.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5757) ~ (all_52_14 = e2)
% 196.80/31.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.80/31.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5757) implies:
% 196.80/31.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5758) ~ (all_52_14 = e2)
% 196.80/31.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.80/31.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (193) gives:
% 196.80/31.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.80/31.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 196.80/31.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.80/31.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5759) all_54_11 = e3
% 196.80/31.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.80/31.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (250), (5759) imply:
% 196.80/31.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5760) all_52_14 = e3
% 196.80/31.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.80/31.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5441), (5760) imply:
% 196.80/31.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5761) $false
% 196.80/31.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.80/31.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (5761) is inconsistent.
% 196.80/31.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.80/31.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 196.80/31.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.80/31.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5762) ~ (all_54_11 = e3)
% 196.80/31.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5763) all_54_11 = e2 | all_54_11 = e1 | all_54_11 = e0
% 196.80/31.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.80/31.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5763) gives:
% 196.80/31.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.80/31.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 196.80/31.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.80/31.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5764) all_54_11 = e2
% 196.80/31.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.80/31.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (250), (5764) imply:
% 196.80/31.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5765) all_52_14 = e2
% 196.80/31.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.80/31.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5758), (5765) imply:
% 196.80/31.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5766) $false
% 196.80/31.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.80/31.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (5766) is inconsistent.
% 196.80/31.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.80/31.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 196.80/31.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.80/31.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5767) all_54_11 = e1 | all_54_11 = e0
% 196.80/31.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.80/31.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5767) gives:
% 196.80/31.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.80/31.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 196.80/31.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.80/31.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5768) all_54_11 = e1
% 196.80/31.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.80/31.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (250), (5768) imply:
% 196.80/31.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5769) all_52_14 = e1
% 196.80/31.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.80/31.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (110), (5769) imply:
% 196.80/31.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5770) ~ (all_52_13 = e1)
% 196.80/31.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.80/31.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5441), (5769) imply:
% 196.80/31.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5771) ~ (e3 = e1)
% 196.80/31.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.80/31.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (197) gives:
% 196.80/31.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.80/31.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 196.80/31.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.80/31.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5772) all_54_7 = e3
% 196.80/31.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.80/31.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (260), (5749), (5772) are inconsistent by
% 196.80/31.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1727.
% 196.80/31.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.80/31.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 196.80/31.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.80/31.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5773) ~ (all_54_7 = e3)
% 196.80/31.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5774) all_54_7 = e2 | all_54_7 = e1 | all_54_7 = e0
% 196.80/31.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.80/31.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5774) gives:
% 196.80/31.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.80/31.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 196.80/31.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.80/31.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5775) all_54_7 = e2
% 196.80/31.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.80/31.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (260), (5775) imply:
% 196.80/31.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5776) all_52_13 = e2
% 196.80/31.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.80/31.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5776) implies:
% 196.80/31.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5777) all_52_13 = e2
% 196.80/31.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.80/31.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (117), (5777) imply:
% 196.80/31.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5778) ~ (all_52_9 = e2)
% 196.80/31.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.80/31.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5749), (5777) imply:
% 196.80/31.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5779) ~ (e3 = e2)
% 196.80/31.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.80/31.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (164), (5777) imply:
% 196.80/31.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5780) op(e2, e0) = e2
% 196.80/31.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.80/31.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (239) gives:
% 196.80/31.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.80/31.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 196.80/31.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.80/31.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5781) (all_57_1 = e2 & ~ (all_57_3 = e3) & ~ (all_57_8
% 196.80/31.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_10 = e2) & ~ (all_57_12 =
% 196.80/31.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_14 = e0) & op(e3, e3) = e2 &
% 196.80/31.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_3 & op(e2, all_57_9) =
% 196.80/31.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_8 & op(e2, all_57_11) = all_57_10 &
% 196.80/31.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_13) = all_57_12 & op(e2,
% 196.80/31.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15) = all_57_14 & op(e2, e3) = all_57_9
% 196.80/31.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = all_57_11 & op(e2, e1) =
% 196.80/31.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_13 & op(e2, e0) = all_57_15 &
% 196.80/31.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_3) & $i(all_57_8) & $i(all_57_9) &
% 196.80/31.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & $i(all_57_11) & $i(all_57_12) &
% 196.80/31.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13) & $i(all_57_14) & $i(all_57_15)) |
% 196.80/31.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e1 & ~ (all_57_5 = e3) & ~
% 196.80/31.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_16 = e3) & ~ (all_57_18 = e2) & ~
% 196.80/31.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_22 = e0) & op(e3,
% 196.80/31.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e1 & op(e3, e1) = all_57_5 & op(e1,
% 196.80/31.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17) = all_57_16 & op(e1, all_57_19) =
% 196.80/31.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_18 & op(e1, all_57_21) = all_57_20 &
% 196.80/31.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_23) = all_57_22 & op(e1, e3) =
% 196.80/31.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e1, e2) = all_57_19 & op(e1, e1)
% 196.80/31.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_21 & op(e1, e0) = all_57_23 &
% 196.80/31.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_16) & $i(all_57_17) &
% 196.80/31.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_19) & $i(all_57_20) &
% 196.80/31.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_22) & $i(all_57_23)) |
% 196.80/31.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e0 & ~ (all_57_7 = e3) & ~
% 196.80/31.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 196.80/31.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) & op(e3,
% 196.80/31.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e0 & op(e3, e0) = all_57_7 & op(e0,
% 196.80/31.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25) = all_57_24 & op(e0, all_57_27) =
% 196.80/31.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e0, all_57_29) = all_57_28 &
% 196.80/31.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_31) = all_57_30 & op(e0, e3) =
% 196.80/31.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_27 & op(e0, e1)
% 196.80/31.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_29 & op(e0, e0) = all_57_31 &
% 196.80/31.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7) & $i(all_57_24) & $i(all_57_25) &
% 196.80/31.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_27) & $i(all_57_28) &
% 196.80/31.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29) & $i(all_57_30) & $i(all_57_31)) |
% 196.80/31.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e3 & ~ (all_57_0 = e3) & ~
% 196.80/31.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e2) & ~ (all_57_4 = e1) & ~
% 196.80/31.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_6 = e0) & ~ (all_57_9 = e2) & op(e3,
% 196.80/31.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1) = all_57_0 & op(e3, all_57_3) =
% 196.80/31.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_2 & op(e3, all_57_5) = all_57_4 & op(e3,
% 196.80/31.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7) = all_57_6 & op(e3, e3) = all_57_1 &
% 196.80/31.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_3 & op(e3, e1) = all_57_5 &
% 196.80/31.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_7 & op(e2, e3) = all_57_9 &
% 196.80/31.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e3 & $i(all_57_0) & $i(all_57_1) &
% 196.80/31.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_2) & $i(all_57_3) & $i(all_57_4) &
% 196.80/31.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 196.80/31.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9))
% 196.80/31.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.80/31.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5781) gives:
% 196.80/31.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.80/31.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 196.80/31.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.80/31.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5782) (all_57_1 = e2 & ~ (all_57_3 = e3) & ~ (all_57_8
% 196.80/31.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_10 = e2) & ~ (all_57_12 =
% 196.80/31.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_14 = e0) & op(e3, e3) = e2 &
% 196.80/31.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_3 & op(e2, all_57_9) =
% 196.80/31.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_8 & op(e2, all_57_11) = all_57_10 &
% 196.80/31.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_13) = all_57_12 & op(e2,
% 196.80/31.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15) = all_57_14 & op(e2, e3) = all_57_9
% 196.80/31.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = all_57_11 & op(e2, e1) =
% 196.80/31.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_13 & op(e2, e0) = all_57_15 &
% 196.80/31.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_3) & $i(all_57_8) & $i(all_57_9) &
% 196.80/31.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & $i(all_57_11) & $i(all_57_12) &
% 196.80/31.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13) & $i(all_57_14) & $i(all_57_15)) |
% 196.80/31.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e1 & ~ (all_57_5 = e3) & ~
% 196.80/31.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_16 = e3) & ~ (all_57_18 = e2) & ~
% 196.80/31.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_22 = e0) & op(e3,
% 196.80/31.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e1 & op(e3, e1) = all_57_5 & op(e1,
% 196.80/31.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17) = all_57_16 & op(e1, all_57_19) =
% 196.80/31.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_18 & op(e1, all_57_21) = all_57_20 &
% 196.80/31.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_23) = all_57_22 & op(e1, e3) =
% 196.80/31.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e1, e2) = all_57_19 & op(e1, e1)
% 196.80/31.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_21 & op(e1, e0) = all_57_23 &
% 196.80/31.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_16) & $i(all_57_17) &
% 196.80/31.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_19) & $i(all_57_20) &
% 196.80/31.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_22) & $i(all_57_23))
% 196.80/31.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.80/31.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5782) gives:
% 196.80/31.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.80/31.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 196.80/31.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.80/31.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5783) all_57_1 = e2 & ~ (all_57_3 = e3) & ~ (all_57_8
% 196.80/31.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_10 = e2) & ~ (all_57_12 =
% 196.80/31.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_14 = e0) & op(e3, e3) = e2 &
% 196.80/31.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_3 & op(e2, all_57_9) =
% 196.80/31.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_8 & op(e2, all_57_11) = all_57_10 & op(e2,
% 196.80/31.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_13) = all_57_12 & op(e2, all_57_15) =
% 196.80/31.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_14 & op(e2, e3) = all_57_9 & op(e2, e2) =
% 196.80/31.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_11 & op(e2, e1) = all_57_13 & op(e2, e0) =
% 196.80/31.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15 & $i(all_57_3) & $i(all_57_8) &
% 196.80/31.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9) & $i(all_57_10) & $i(all_57_11) &
% 196.80/31.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & $i(all_57_13) & $i(all_57_14) &
% 196.80/31.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15)
% 196.80/31.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.80/31.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5783) implies:
% 196.80/31.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5784) ~ (all_57_8 = e3)
% 196.80/31.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5785) op(e2, e3) = all_57_9
% 196.80/31.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5786) op(e2, all_57_9) = all_57_8
% 196.80/31.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.80/31.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5712), (5784), (5785), (5786), (function-axioms)
% 196.80/31.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1830.
% 196.80/31.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.80/31.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 196.80/31.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.80/31.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5787) all_57_1 = e1 & ~ (all_57_5 = e3) & ~ (all_57_16
% 196.80/31.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_18 = e2) & ~ (all_57_20 =
% 196.80/31.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_22 = e0) & op(e3, e3) = e1 &
% 196.80/31.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_57_5 & op(e1, all_57_17) =
% 196.80/31.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_16 & op(e1, all_57_19) = all_57_18 & op(e1,
% 196.80/31.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_21) = all_57_20 & op(e1, all_57_23) =
% 196.80/31.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_22 & op(e1, e3) = all_57_17 & op(e1, e2) =
% 196.80/31.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_19 & op(e1, e1) = all_57_21 & op(e1, e0) =
% 196.80/31.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23 & $i(all_57_5) & $i(all_57_16) &
% 196.80/31.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_17) & $i(all_57_18) & $i(all_57_19) &
% 196.80/31.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_20) & $i(all_57_21) & $i(all_57_22) &
% 196.80/31.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23)
% 196.80/31.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.80/31.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5787) implies:
% 196.80/31.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5788) op(e3, e3) = e1
% 196.80/31.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.80/31.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (158), (162), (222),
% 196.80/31.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (223), (224), (225), (226), (227), (228), (229),
% 196.80/31.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (233), (235), (5197), (5198), (5204), (5736),
% 196.80/31.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5788), (function-axioms) are inconsistent by
% 196.80/31.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1217.
% 196.80/31.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.80/31.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 196.80/31.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.80/31.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 196.80/31.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.80/31.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5789) (all_57_1 = e0 & ~ (all_57_7 = e3) & ~
% 196.80/31.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 196.80/31.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) & op(e3,
% 196.80/31.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e0 & op(e3, e0) = all_57_7 & op(e0,
% 196.80/31.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25) = all_57_24 & op(e0, all_57_27) =
% 196.80/31.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e0, all_57_29) = all_57_28 &
% 196.80/31.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_31) = all_57_30 & op(e0, e3) =
% 196.80/31.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_27 & op(e0, e1)
% 196.80/31.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_29 & op(e0, e0) = all_57_31 &
% 196.80/31.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7) & $i(all_57_24) & $i(all_57_25) &
% 196.80/31.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_27) & $i(all_57_28) &
% 196.80/31.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29) & $i(all_57_30) & $i(all_57_31)) |
% 196.80/31.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e3 & ~ (all_57_0 = e3) & ~
% 196.80/31.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e2) & ~ (all_57_4 = e1) & ~
% 196.80/31.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_6 = e0) & ~ (all_57_9 = e2) & op(e3,
% 196.80/31.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1) = all_57_0 & op(e3, all_57_3) =
% 196.80/31.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_2 & op(e3, all_57_5) = all_57_4 & op(e3,
% 196.80/31.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7) = all_57_6 & op(e3, e3) = all_57_1 &
% 196.80/31.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_3 & op(e3, e1) = all_57_5 &
% 196.80/31.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_7 & op(e2, e3) = all_57_9 &
% 196.80/31.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e3 & $i(all_57_0) & $i(all_57_1) &
% 196.80/31.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_2) & $i(all_57_3) & $i(all_57_4) &
% 196.80/31.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 196.80/31.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9))
% 196.80/31.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.80/31.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (45), (209), (225),
% 196.80/31.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (226), (227), (376), (5729), (5736), (5751),
% 196.80/31.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5789), (function-axioms) are inconsistent by
% 196.80/31.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #969.
% 196.80/31.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.80/31.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 196.80/31.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.80/31.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 196.80/31.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.80/31.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5790) (all_57_11 = e1 & ~ (all_57_13 = e2) & ~
% 196.80/31.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_16 = e3) & ~ (all_57_18 = e2) & ~
% 196.80/31.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_22 = e0) & op(e2,
% 196.80/31.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e1 & op(e2, e1) = all_57_13 & op(e1,
% 196.80/31.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17) = all_57_16 & op(e1, all_57_19) =
% 196.80/31.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_18 & op(e1, all_57_21) = all_57_20 &
% 196.80/31.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_23) = all_57_22 & op(e1, e3) =
% 196.80/31.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e1, e2) = all_57_19 & op(e1, e1)
% 196.80/31.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_21 & op(e1, e0) = all_57_23 &
% 196.80/31.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13) & $i(all_57_16) & $i(all_57_17) &
% 196.80/31.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_19) & $i(all_57_20) &
% 196.80/31.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_22) & $i(all_57_23)) |
% 196.80/31.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e0 & ~ (all_57_15 = e2) & ~
% 196.80/31.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 196.80/31.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) & op(e2,
% 196.80/31.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e0 & op(e2, e0) = all_57_15 & op(e0,
% 196.80/31.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25) = all_57_24 & op(e0, all_57_27) =
% 196.80/31.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e0, all_57_29) = all_57_28 &
% 196.80/31.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_31) = all_57_30 & op(e0, e3) =
% 196.80/31.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_27 & op(e0, e1)
% 196.80/31.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_29 & op(e0, e0) = all_57_31 &
% 196.80/31.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & $i(all_57_24) & $i(all_57_25) &
% 196.80/31.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_27) & $i(all_57_28) &
% 196.80/31.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29) & $i(all_57_30) & $i(all_57_31)) |
% 196.80/31.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e3 & ~ (all_57_0 = e3) & ~
% 196.80/31.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e2) & ~ (all_57_4 = e1) & ~
% 196.80/31.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_6 = e0) & ~ (all_57_17 = e1) & op(e3,
% 196.80/31.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1) = all_57_0 & op(e3, all_57_3) =
% 196.80/31.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_2 & op(e3, all_57_5) = all_57_4 & op(e3,
% 196.80/31.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7) = all_57_6 & op(e3, e3) = all_57_1 &
% 196.80/31.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_3 & op(e3, e1) = all_57_5 &
% 196.80/31.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_7 & op(e1, e3) = all_57_17 &
% 196.80/31.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e3 & $i(all_57_0) & $i(all_57_1) &
% 196.80/31.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_2) & $i(all_57_3) & $i(all_57_4) &
% 196.80/31.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 196.80/31.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_17)) | (all_57_21 = e2 & ~ (all_57_8
% 196.80/31.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_10 = e2) & ~ (all_57_12 =
% 196.80/31.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_14 = e0) & ~ (all_57_19 =
% 196.80/31.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & op(e2, all_57_9) = all_57_8 & op(e2,
% 196.80/31.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_11) = all_57_10 & op(e2, all_57_13) =
% 196.80/31.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & op(e2, all_57_15) = all_57_14 &
% 196.80/31.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_9 & op(e2, e2) = all_57_11 &
% 196.80/31.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_57_13 & op(e2, e0) = all_57_15
% 196.80/31.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = all_57_19 & op(e1, e1) = e2 &
% 196.80/31.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8) & $i(all_57_9) & $i(all_57_10) &
% 196.80/31.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_12) & $i(all_57_13) &
% 196.80/31.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & $i(all_57_15) & $i(all_57_19)) |
% 196.80/31.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (op(e0, e0) = all_57_31 & $i(all_57_31) &
% 196.80/31.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_21 = e0 & ~ (all_57_23 = e1) & ~
% 196.80/31.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 196.80/31.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) &
% 196.80/31.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = all_57_23 &
% 196.80/31.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_25) = all_57_24 & op(e0,
% 196.80/31.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27) = all_57_26 & op(e0, all_57_29)
% 196.80/31.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_28 & op(e0, all_57_31) = all_57_30
% 196.80/31.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e3) = all_57_25 & op(e0, e2) =
% 196.80/31.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27 & op(e0, e1) = all_57_29 &
% 196.80/31.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23) & $i(all_57_24) &
% 196.80/31.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_25) & $i(all_57_26) &
% 196.80/31.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27) & $i(all_57_28) &
% 196.80/31.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29) & $i(all_57_30)) | (all_57_31
% 196.80/31.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & ~ (all_57_0 = e3) & ~ (all_57_2 =
% 196.80/31.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_4 = e1) & ~ (all_57_6 =
% 196.80/31.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_25 = e0) & op(e3,
% 196.80/31.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1) = all_57_0 & op(e3, all_57_3) =
% 196.80/31.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_2 & op(e3, all_57_5) = all_57_4 &
% 196.80/31.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, all_57_7) = all_57_6 & op(e3, e3) =
% 196.80/31.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e2) = all_57_3 & op(e3,
% 196.80/31.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_5 & op(e3, e0) = all_57_7 &
% 196.80/31.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_25 & $i(all_57_0) &
% 196.80/31.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_2) & $i(all_57_3) &
% 196.80/31.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4) & $i(all_57_5) & $i(all_57_6) &
% 196.80/31.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7) & $i(all_57_25)) | (all_57_31 =
% 196.80/31.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_8 = e3) & ~ (all_57_10 =
% 196.80/31.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_12 = e1) & ~ (all_57_14
% 196.80/31.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_27 = e0) & op(e2,
% 196.80/31.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_9) = all_57_8 & op(e2, all_57_11) =
% 196.80/31.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e2, all_57_13) = all_57_12 &
% 196.80/31.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_15) = all_57_14 & op(e2, e3) =
% 196.80/31.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_9 & op(e2, e2) = all_57_11 & op(e2,
% 196.80/31.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_13 & op(e2, e0) = all_57_15 &
% 196.80/31.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_27 & $i(all_57_8) &
% 196.80/31.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9) & $i(all_57_10) & $i(all_57_11)
% 196.80/31.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_12) & $i(all_57_13) &
% 196.80/31.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & $i(all_57_15) &
% 196.80/31.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27)) | (all_57_31 = e1 & ~
% 196.80/31.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_16 = e3) & ~ (all_57_18 = e2) & ~
% 196.80/31.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_22 = e0) & ~
% 196.80/31.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_29 = e0) & op(e1, all_57_17) =
% 196.80/31.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_16 & op(e1, all_57_19) = all_57_18 &
% 196.80/31.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_21) = all_57_20 & op(e1,
% 196.80/31.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23) = all_57_22 & op(e1, e3) =
% 196.80/31.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e1, e2) = all_57_19 & op(e1,
% 196.80/31.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_21 & op(e1, e0) = all_57_23 &
% 196.80/31.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = all_57_29 & $i(all_57_16) &
% 196.80/31.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_17) & $i(all_57_18) &
% 196.80/31.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_20) &
% 196.80/31.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_22) &
% 196.80/31.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23) & $i(all_57_29))))
% 196.80/31.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.80/31.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5790) gives:
% 196.80/31.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.80/31.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 196.80/31.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.80/31.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5791) (all_57_11 = e1 & ~ (all_57_13 = e2) & ~
% 196.80/31.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_16 = e3) & ~ (all_57_18 = e2) & ~
% 196.80/31.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_22 = e0) & op(e2,
% 196.80/31.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e1 & op(e2, e1) = all_57_13 & op(e1,
% 196.80/31.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17) = all_57_16 & op(e1, all_57_19) =
% 196.80/31.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_18 & op(e1, all_57_21) = all_57_20 &
% 196.80/31.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_23) = all_57_22 & op(e1, e3) =
% 196.80/31.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e1, e2) = all_57_19 & op(e1, e1)
% 196.80/31.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_21 & op(e1, e0) = all_57_23 &
% 196.80/31.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13) & $i(all_57_16) & $i(all_57_17) &
% 196.80/31.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_19) & $i(all_57_20) &
% 196.80/31.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_22) & $i(all_57_23)) |
% 196.80/31.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e0 & ~ (all_57_15 = e2) & ~
% 196.80/31.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 196.80/31.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) & op(e2,
% 196.80/31.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e0 & op(e2, e0) = all_57_15 & op(e0,
% 196.80/31.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25) = all_57_24 & op(e0, all_57_27) =
% 196.80/31.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e0, all_57_29) = all_57_28 &
% 196.80/31.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_31) = all_57_30 & op(e0, e3) =
% 196.80/31.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_27 & op(e0, e1)
% 196.80/31.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_29 & op(e0, e0) = all_57_31 &
% 196.80/31.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & $i(all_57_24) & $i(all_57_25) &
% 196.80/31.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_27) & $i(all_57_28) &
% 196.80/31.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29) & $i(all_57_30) & $i(all_57_31))
% 196.80/31.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.80/31.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5204), (5780), (5791), (function-axioms) are
% 196.80/31.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1260.
% 196.80/31.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.80/31.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 196.80/31.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.80/31.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5792) (all_57_21 = e3 & ~ (all_57_0 = e3) & ~
% 196.80/31.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e2) & ~ (all_57_4 = e1) & ~
% 196.80/31.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_6 = e0) & ~ (all_57_17 = e1) & op(e3,
% 196.80/31.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1) = all_57_0 & op(e3, all_57_3) =
% 196.80/31.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_2 & op(e3, all_57_5) = all_57_4 & op(e3,
% 196.80/31.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7) = all_57_6 & op(e3, e3) = all_57_1 &
% 196.80/31.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_3 & op(e3, e1) = all_57_5 &
% 196.80/31.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_7 & op(e1, e3) = all_57_17 &
% 196.80/31.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e3 & $i(all_57_0) & $i(all_57_1) &
% 196.80/31.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_2) & $i(all_57_3) & $i(all_57_4) &
% 196.80/31.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 196.80/31.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_17)) | (all_57_21 = e2 & ~ (all_57_8
% 196.80/31.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_10 = e2) & ~ (all_57_12 =
% 196.80/31.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_14 = e0) & ~ (all_57_19 =
% 196.80/31.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & op(e2, all_57_9) = all_57_8 & op(e2,
% 196.80/31.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_11) = all_57_10 & op(e2, all_57_13) =
% 196.80/31.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & op(e2, all_57_15) = all_57_14 &
% 196.80/31.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_9 & op(e2, e2) = all_57_11 &
% 196.80/31.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_57_13 & op(e2, e0) = all_57_15
% 196.80/31.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = all_57_19 & op(e1, e1) = e2 &
% 196.80/31.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8) & $i(all_57_9) & $i(all_57_10) &
% 196.80/31.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_12) & $i(all_57_13) &
% 196.80/31.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & $i(all_57_15) & $i(all_57_19)) |
% 196.80/31.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (op(e0, e0) = all_57_31 & $i(all_57_31) &
% 196.80/31.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_21 = e0 & ~ (all_57_23 = e1) & ~
% 196.80/31.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 196.80/31.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) &
% 196.80/31.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = all_57_23 &
% 196.80/31.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_25) = all_57_24 & op(e0,
% 196.80/31.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27) = all_57_26 & op(e0, all_57_29)
% 196.80/31.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_28 & op(e0, all_57_31) = all_57_30
% 196.80/31.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e3) = all_57_25 & op(e0, e2) =
% 196.80/31.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27 & op(e0, e1) = all_57_29 &
% 196.80/31.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23) & $i(all_57_24) &
% 196.80/31.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_25) & $i(all_57_26) &
% 196.80/31.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27) & $i(all_57_28) &
% 196.80/31.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29) & $i(all_57_30)) | (all_57_31
% 196.80/31.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & ~ (all_57_0 = e3) & ~ (all_57_2 =
% 196.80/31.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_4 = e1) & ~ (all_57_6 =
% 196.80/31.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_25 = e0) & op(e3,
% 196.80/31.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1) = all_57_0 & op(e3, all_57_3) =
% 196.80/31.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_2 & op(e3, all_57_5) = all_57_4 &
% 196.80/31.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, all_57_7) = all_57_6 & op(e3, e3) =
% 196.80/31.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e2) = all_57_3 & op(e3,
% 196.80/31.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_5 & op(e3, e0) = all_57_7 &
% 196.80/31.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_25 & $i(all_57_0) &
% 196.80/31.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_2) & $i(all_57_3) &
% 196.80/31.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4) & $i(all_57_5) & $i(all_57_6) &
% 196.80/31.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7) & $i(all_57_25)) | (all_57_31 =
% 196.80/31.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_8 = e3) & ~ (all_57_10 =
% 196.80/31.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_12 = e1) & ~ (all_57_14
% 196.80/31.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_27 = e0) & op(e2,
% 196.80/31.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_9) = all_57_8 & op(e2, all_57_11) =
% 196.80/31.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e2, all_57_13) = all_57_12 &
% 196.80/31.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_15) = all_57_14 & op(e2, e3) =
% 196.80/31.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_9 & op(e2, e2) = all_57_11 & op(e2,
% 196.80/31.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_13 & op(e2, e0) = all_57_15 &
% 196.80/31.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_27 & $i(all_57_8) &
% 196.80/31.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9) & $i(all_57_10) & $i(all_57_11)
% 196.80/31.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_12) & $i(all_57_13) &
% 196.80/31.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & $i(all_57_15) &
% 196.80/31.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27)) | (all_57_31 = e1 & ~
% 196.80/31.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_16 = e3) & ~ (all_57_18 = e2) & ~
% 196.80/31.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_22 = e0) & ~
% 196.80/31.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_29 = e0) & op(e1, all_57_17) =
% 196.80/31.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_16 & op(e1, all_57_19) = all_57_18 &
% 196.80/31.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_21) = all_57_20 & op(e1,
% 196.80/31.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23) = all_57_22 & op(e1, e3) =
% 196.80/31.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e1, e2) = all_57_19 & op(e1,
% 196.80/31.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_21 & op(e1, e0) = all_57_23 &
% 196.80/31.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = all_57_29 & $i(all_57_16) &
% 196.80/31.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_17) & $i(all_57_18) &
% 196.80/31.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_20) &
% 196.80/31.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_22) &
% 196.80/31.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23) & $i(all_57_29))))
% 196.80/31.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.80/31.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5792) gives:
% 196.80/31.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.80/31.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 196.80/31.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.80/31.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5793) all_57_21 = e3 & ~ (all_57_0 = e3) & ~ (all_57_2
% 196.80/31.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2) & ~ (all_57_4 = e1) & ~ (all_57_6 = e0)
% 196.80/31.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_17 = e1) & op(e3, all_57_1) =
% 196.80/31.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_0 & op(e3, all_57_3) = all_57_2 & op(e3,
% 196.80/31.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_5) = all_57_4 & op(e3, all_57_7) =
% 196.80/31.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_6 & op(e3, e3) = all_57_1 & op(e3, e2) =
% 196.80/31.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 & op(e3, e1) = all_57_5 & op(e3, e0) =
% 196.80/31.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7 & op(e1, e3) = all_57_17 & op(e1, e1) =
% 196.80/31.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & $i(all_57_0) & $i(all_57_1) & $i(all_57_2) &
% 196.80/31.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_3) & $i(all_57_4) & $i(all_57_5) &
% 196.80/31.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_6) & $i(all_57_7) & $i(all_57_17)
% 196.80/31.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.80/31.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5793) implies:
% 196.80/31.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5794) ~ (all_57_17 = e1)
% 196.80/31.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5795) op(e1, e3) = all_57_17
% 196.80/31.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.80/31.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (238) gives:
% 196.80/31.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.80/31.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 196.80/31.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.80/31.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5796) (all_57_3 = e3 & ~ (all_57_1 = e2) & ~ (all_57_8
% 196.80/31.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_10 = e2) & ~ (all_57_12 =
% 196.80/31.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_14 = e0) & op(e3, e3) =
% 196.80/31.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e2) = e3 & op(e2, all_57_9) =
% 196.80/31.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_8 & op(e2, all_57_11) = all_57_10 &
% 196.80/31.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_13) = all_57_12 & op(e2,
% 196.80/31.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15) = all_57_14 & op(e2, e3) = all_57_9
% 196.80/31.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = all_57_11 & op(e2, e1) =
% 196.80/31.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_13 & op(e2, e0) = all_57_15 &
% 196.80/31.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_8) & $i(all_57_9) &
% 196.80/31.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & $i(all_57_11) & $i(all_57_12) &
% 196.80/31.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13) & $i(all_57_14) & $i(all_57_15)) |
% 196.80/31.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_5 = e3 & ~ (all_57_1 = e1) & ~
% 196.80/31.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_16 = e3) & ~ (all_57_18 = e2) & ~
% 196.80/31.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_22 = e0) & op(e3,
% 196.80/31.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_1 & op(e3, e1) = e3 & op(e1,
% 196.80/31.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17) = all_57_16 & op(e1, all_57_19) =
% 196.80/31.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_18 & op(e1, all_57_21) = all_57_20 &
% 196.80/31.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_23) = all_57_22 & op(e1, e3) =
% 196.80/31.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e1, e2) = all_57_19 & op(e1, e1)
% 196.80/31.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_21 & op(e1, e0) = all_57_23 &
% 196.80/31.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_16) & $i(all_57_17) &
% 196.80/31.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_19) & $i(all_57_20) &
% 196.80/31.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_22) & $i(all_57_23)) |
% 196.80/31.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_7 = e3 & ~ (all_57_1 = e0) & ~
% 196.80/31.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 196.80/31.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) & op(e3,
% 196.80/31.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_1 & op(e3, e0) = e3 & op(e0,
% 196.80/31.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25) = all_57_24 & op(e0, all_57_27) =
% 196.80/31.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e0, all_57_29) = all_57_28 &
% 196.80/31.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_31) = all_57_30 & op(e0, e3) =
% 196.80/31.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_27 & op(e0, e1)
% 196.80/31.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_29 & op(e0, e0) = all_57_31 &
% 196.80/31.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_24) & $i(all_57_25) &
% 196.80/31.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_27) & $i(all_57_28) &
% 196.80/31.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29) & $i(all_57_30) & $i(all_57_31)) |
% 196.80/31.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e2 & ~ (all_57_0 = e3) & ~ (all_57_2
% 196.80/31.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2) & ~ (all_57_4 = e1) & ~ (all_57_6 =
% 196.80/31.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_11 = e3) & op(e3, all_57_1) =
% 196.80/31.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_0 & op(e3, all_57_3) = all_57_2 & op(e3,
% 196.80/31.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_5) = all_57_4 & op(e3, all_57_7) =
% 196.80/31.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_6 & op(e3, e3) = all_57_1 & op(e3, e2) =
% 196.80/31.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 & op(e3, e1) = all_57_5 & op(e3, e0) =
% 196.80/31.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7 & op(e2, e3) = e2 & op(e2, e2) =
% 196.80/31.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_11 & $i(all_57_0) & $i(all_57_1) &
% 196.80/31.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_2) & $i(all_57_3) & $i(all_57_4) &
% 196.80/31.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 196.80/31.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11))
% 196.80/31.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.80/31.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5796) gives:
% 196.80/31.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.80/31.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 196.80/31.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.80/31.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5797) (all_57_3 = e3 & ~ (all_57_1 = e2) & ~ (all_57_8
% 196.80/31.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_10 = e2) & ~ (all_57_12 =
% 196.80/31.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_14 = e0) & op(e3, e3) =
% 196.80/31.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e2) = e3 & op(e2, all_57_9) =
% 196.80/31.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_8 & op(e2, all_57_11) = all_57_10 &
% 196.80/31.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_13) = all_57_12 & op(e2,
% 196.80/31.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15) = all_57_14 & op(e2, e3) = all_57_9
% 196.80/31.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = all_57_11 & op(e2, e1) =
% 196.80/31.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_13 & op(e2, e0) = all_57_15 &
% 196.80/31.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_8) & $i(all_57_9) &
% 196.80/31.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & $i(all_57_11) & $i(all_57_12) &
% 196.80/31.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13) & $i(all_57_14) & $i(all_57_15)) |
% 196.80/31.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_5 = e3 & ~ (all_57_1 = e1) & ~
% 196.80/31.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_16 = e3) & ~ (all_57_18 = e2) & ~
% 196.80/31.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_22 = e0) & op(e3,
% 196.80/31.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_1 & op(e3, e1) = e3 & op(e1,
% 196.80/31.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17) = all_57_16 & op(e1, all_57_19) =
% 196.80/31.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_18 & op(e1, all_57_21) = all_57_20 &
% 196.80/31.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_23) = all_57_22 & op(e1, e3) =
% 196.80/31.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e1, e2) = all_57_19 & op(e1, e1)
% 196.80/31.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_21 & op(e1, e0) = all_57_23 &
% 196.80/31.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_16) & $i(all_57_17) &
% 196.80/31.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_19) & $i(all_57_20) &
% 196.80/31.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_22) & $i(all_57_23))
% 196.80/31.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.80/31.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (169), (170), (5438), (5670), (5797),
% 196.80/31.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 196.80/31.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1929.
% 196.80/31.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.80/31.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 196.80/31.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.80/31.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5798) (all_57_7 = e3 & ~ (all_57_1 = e0) & ~
% 196.80/31.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 196.80/31.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) & op(e3,
% 196.80/31.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_1 & op(e3, e0) = e3 & op(e0,
% 196.80/31.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25) = all_57_24 & op(e0, all_57_27) =
% 196.80/31.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e0, all_57_29) = all_57_28 &
% 196.80/31.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_31) = all_57_30 & op(e0, e3) =
% 196.80/31.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_27 & op(e0, e1)
% 196.80/31.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_29 & op(e0, e0) = all_57_31 &
% 196.80/31.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_24) & $i(all_57_25) &
% 196.80/31.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_27) & $i(all_57_28) &
% 196.80/31.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29) & $i(all_57_30) & $i(all_57_31)) |
% 196.80/31.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e2 & ~ (all_57_0 = e3) & ~ (all_57_2
% 196.80/31.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2) & ~ (all_57_4 = e1) & ~ (all_57_6 =
% 196.80/31.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_11 = e3) & op(e3, all_57_1) =
% 196.80/31.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_0 & op(e3, all_57_3) = all_57_2 & op(e3,
% 196.80/31.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_5) = all_57_4 & op(e3, all_57_7) =
% 196.80/31.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_6 & op(e3, e3) = all_57_1 & op(e3, e2) =
% 196.80/31.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 & op(e3, e1) = all_57_5 & op(e3, e0) =
% 196.80/31.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7 & op(e2, e3) = e2 & op(e2, e2) =
% 196.80/31.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_11 & $i(all_57_0) & $i(all_57_1) &
% 196.80/31.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_2) & $i(all_57_3) & $i(all_57_4) &
% 196.80/31.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 196.80/31.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11))
% 196.80/31.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.80/31.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (9), (158), (159), (206), (5198), (5460),
% 196.80/31.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5712), (5730), (5798), (function-axioms) are
% 196.80/31.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #968.
% 196.80/31.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.80/31.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 196.80/31.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.80/31.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 196.80/31.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5799) (all_57_13 = e2 & ~ (all_57_11 = e1) & ~
% 196.87/31.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_16 = e3) & ~ (all_57_18 = e2) & ~
% 196.87/31.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_22 = e0) & op(e2,
% 196.87/31.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_11 & op(e2, e1) = e2 & op(e1,
% 196.87/31.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17) = all_57_16 & op(e1, all_57_19) =
% 196.87/31.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_18 & op(e1, all_57_21) = all_57_20 &
% 196.87/31.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_23) = all_57_22 & op(e1, e3) =
% 196.87/31.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e1, e2) = all_57_19 & op(e1, e1)
% 196.87/31.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_21 & op(e1, e0) = all_57_23 &
% 196.87/31.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_16) & $i(all_57_17) &
% 196.87/31.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_19) & $i(all_57_20) &
% 196.87/31.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_22) & $i(all_57_23)) |
% 196.87/31.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e2 & ~ (all_57_11 = e0) & ~
% 196.87/31.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 196.87/31.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) & op(e2,
% 196.87/31.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_11 & op(e2, e0) = e2 & op(e0,
% 196.87/31.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25) = all_57_24 & op(e0, all_57_27) =
% 196.87/31.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e0, all_57_29) = all_57_28 &
% 196.87/31.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_31) = all_57_30 & op(e0, e3) =
% 196.87/31.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_27 & op(e0, e1)
% 196.87/31.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_29 & op(e0, e0) = all_57_31 &
% 196.87/31.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_24) & $i(all_57_25) &
% 196.87/31.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_27) & $i(all_57_28) &
% 196.87/31.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29) & $i(all_57_30) & $i(all_57_31)) |
% 196.87/31.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_17 = e1 & ~ (all_57_0 = e3) & ~
% 196.87/31.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e2) & ~ (all_57_4 = e1) & ~
% 196.87/31.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_6 = e0) & ~ (all_57_21 = e3) & op(e3,
% 196.87/31.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1) = all_57_0 & op(e3, all_57_3) =
% 196.87/31.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_2 & op(e3, all_57_5) = all_57_4 & op(e3,
% 196.87/31.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7) = all_57_6 & op(e3, e3) = all_57_1 &
% 196.87/31.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_3 & op(e3, e1) = all_57_5 &
% 196.87/31.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_7 & op(e1, e3) = e1 & op(e1,
% 196.87/31.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_21 & $i(all_57_0) & $i(all_57_1)
% 196.87/31.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_2) & $i(all_57_3) & $i(all_57_4) &
% 196.87/31.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 196.87/31.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21)) | (all_57_19 = e1 & ~ (all_57_8
% 196.87/31.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_10 = e2) & ~ (all_57_12 =
% 196.87/31.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_14 = e0) & ~ (all_57_21 =
% 196.87/31.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & op(e2, all_57_9) = all_57_8 & op(e2,
% 196.87/31.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_11) = all_57_10 & op(e2, all_57_13) =
% 196.87/31.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & op(e2, all_57_15) = all_57_14 &
% 196.87/31.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_9 & op(e2, e2) = all_57_11 &
% 196.87/31.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_57_13 & op(e2, e0) = all_57_15
% 196.87/31.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e1 & op(e1, e1) = all_57_21 &
% 196.87/31.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8) & $i(all_57_9) & $i(all_57_10) &
% 196.87/31.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_12) & $i(all_57_13) &
% 196.87/31.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & $i(all_57_15) & $i(all_57_21)) |
% 196.87/31.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (op(e0, e0) = all_57_31 & $i(all_57_31) &
% 196.87/31.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_23 = e1 & ~ (all_57_21 = e0) & ~
% 196.87/31.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 196.87/31.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) &
% 196.87/31.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_21 & op(e1, e0) = e1 &
% 196.87/31.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_25) = all_57_24 & op(e0,
% 196.87/31.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27) = all_57_26 & op(e0, all_57_29)
% 196.87/31.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_28 & op(e0, all_57_31) = all_57_30
% 196.87/31.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e3) = all_57_25 & op(e0, e2) =
% 196.87/31.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27 & op(e0, e1) = all_57_29 &
% 196.87/31.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_24) &
% 196.87/31.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_25) & $i(all_57_26) &
% 196.87/31.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27) & $i(all_57_28) &
% 196.87/31.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29) & $i(all_57_30)) | (all_57_25
% 196.87/31.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & ~ (all_57_0 = e3) & ~ (all_57_2 =
% 196.87/31.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_4 = e1) & ~ (all_57_6 =
% 196.87/31.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_31 = e3) & op(e3,
% 196.87/31.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1) = all_57_0 & op(e3, all_57_3) =
% 196.87/31.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_2 & op(e3, all_57_5) = all_57_4 &
% 196.87/31.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, all_57_7) = all_57_6 & op(e3, e3) =
% 196.87/31.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e2) = all_57_3 & op(e3,
% 196.87/31.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_5 & op(e3, e0) = all_57_7 &
% 196.87/31.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_0) &
% 196.87/31.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_2) & $i(all_57_3) &
% 196.87/31.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4) & $i(all_57_5) & $i(all_57_6) &
% 196.87/31.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7)) | (all_57_27 = e0 & ~
% 196.87/31.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e3) & ~ (all_57_10 = e2) & ~
% 196.87/31.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e1) & ~ (all_57_14 = e0) & ~
% 196.87/31.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e2) & op(e2, all_57_9) =
% 196.87/31.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_8 & op(e2, all_57_11) = all_57_10 &
% 196.87/31.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_13) = all_57_12 & op(e2,
% 196.87/31.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15) = all_57_14 & op(e2, e3) =
% 196.87/31.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_9 & op(e2, e2) = all_57_11 & op(e2,
% 196.87/31.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_13 & op(e2, e0) = all_57_15 &
% 196.87/31.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_8) &
% 196.87/31.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9) & $i(all_57_10) & $i(all_57_11)
% 196.87/31.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_12) & $i(all_57_13) &
% 196.87/31.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & $i(all_57_15)) | (all_57_29
% 196.87/31.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & ~ (all_57_16 = e3) & ~ (all_57_18 =
% 196.87/31.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_20 = e1) & ~ (all_57_22
% 196.87/31.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_31 = e1) & op(e1,
% 196.87/31.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17) = all_57_16 & op(e1, all_57_19)
% 196.87/31.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_18 & op(e1, all_57_21) = all_57_20
% 196.87/31.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, all_57_23) = all_57_22 & op(e1, e3)
% 196.87/31.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_17 & op(e1, e2) = all_57_19 &
% 196.87/31.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_21 & op(e1, e0) =
% 196.87/31.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23 & op(e0, e1) = e0 & $i(all_57_16)
% 196.87/31.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_17) & $i(all_57_18) &
% 196.87/31.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_20) &
% 196.87/31.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_22) &
% 196.87/31.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23))))
% 196.87/31.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5799) gives:
% 196.87/31.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 196.87/31.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5800) (all_57_13 = e2 & ~ (all_57_11 = e1) & ~
% 196.87/31.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_16 = e3) & ~ (all_57_18 = e2) & ~
% 196.87/31.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_22 = e0) & op(e2,
% 196.87/31.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_11 & op(e2, e1) = e2 & op(e1,
% 196.87/31.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17) = all_57_16 & op(e1, all_57_19) =
% 196.87/31.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_18 & op(e1, all_57_21) = all_57_20 &
% 196.87/31.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_23) = all_57_22 & op(e1, e3) =
% 196.87/31.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e1, e2) = all_57_19 & op(e1, e1)
% 196.87/31.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_21 & op(e1, e0) = all_57_23 &
% 196.87/31.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_16) & $i(all_57_17) &
% 196.87/31.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_19) & $i(all_57_20) &
% 196.87/31.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_22) & $i(all_57_23)) |
% 196.87/31.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e2 & ~ (all_57_11 = e0) & ~
% 196.87/31.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 196.87/31.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) & op(e2,
% 196.87/31.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_11 & op(e2, e0) = e2 & op(e0,
% 196.87/31.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25) = all_57_24 & op(e0, all_57_27) =
% 196.87/31.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e0, all_57_29) = all_57_28 &
% 196.87/31.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_31) = all_57_30 & op(e0, e3) =
% 196.87/31.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_27 & op(e0, e1)
% 196.87/31.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_29 & op(e0, e0) = all_57_31 &
% 196.87/31.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_24) & $i(all_57_25) &
% 196.87/31.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_27) & $i(all_57_28) &
% 196.87/31.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29) & $i(all_57_30) & $i(all_57_31))
% 196.87/31.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (5204), (5778), (5800), (function-axioms)
% 196.87/31.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1213.
% 196.87/31.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 196.87/31.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5801) (all_57_17 = e1 & ~ (all_57_0 = e3) & ~
% 196.87/31.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e2) & ~ (all_57_4 = e1) & ~
% 196.87/31.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_6 = e0) & ~ (all_57_21 = e3) & op(e3,
% 196.87/31.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1) = all_57_0 & op(e3, all_57_3) =
% 196.87/31.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_2 & op(e3, all_57_5) = all_57_4 & op(e3,
% 196.87/31.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7) = all_57_6 & op(e3, e3) = all_57_1 &
% 196.87/31.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_3 & op(e3, e1) = all_57_5 &
% 196.87/31.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_7 & op(e1, e3) = e1 & op(e1,
% 196.87/31.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_21 & $i(all_57_0) & $i(all_57_1)
% 196.87/31.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_2) & $i(all_57_3) & $i(all_57_4) &
% 196.87/31.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 196.87/31.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21)) | (all_57_19 = e1 & ~ (all_57_8
% 196.87/31.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_10 = e2) & ~ (all_57_12 =
% 196.87/31.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_14 = e0) & ~ (all_57_21 =
% 196.87/31.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & op(e2, all_57_9) = all_57_8 & op(e2,
% 196.87/31.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_11) = all_57_10 & op(e2, all_57_13) =
% 196.87/31.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & op(e2, all_57_15) = all_57_14 &
% 196.87/31.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_9 & op(e2, e2) = all_57_11 &
% 196.87/31.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_57_13 & op(e2, e0) = all_57_15
% 196.87/31.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e1 & op(e1, e1) = all_57_21 &
% 196.87/31.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8) & $i(all_57_9) & $i(all_57_10) &
% 196.87/31.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_12) & $i(all_57_13) &
% 196.87/31.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & $i(all_57_15) & $i(all_57_21)) |
% 196.87/31.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (op(e0, e0) = all_57_31 & $i(all_57_31) &
% 196.87/31.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_23 = e1 & ~ (all_57_21 = e0) & ~
% 196.87/31.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 196.87/31.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) &
% 196.87/31.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_21 & op(e1, e0) = e1 &
% 196.87/31.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_25) = all_57_24 & op(e0,
% 196.87/31.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27) = all_57_26 & op(e0, all_57_29)
% 196.87/31.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_28 & op(e0, all_57_31) = all_57_30
% 196.87/31.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e3) = all_57_25 & op(e0, e2) =
% 196.87/31.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27 & op(e0, e1) = all_57_29 &
% 196.87/31.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_24) &
% 196.87/31.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_25) & $i(all_57_26) &
% 196.87/31.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27) & $i(all_57_28) &
% 196.87/31.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29) & $i(all_57_30)) | (all_57_25
% 196.87/31.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & ~ (all_57_0 = e3) & ~ (all_57_2 =
% 196.87/31.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_4 = e1) & ~ (all_57_6 =
% 196.87/31.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_31 = e3) & op(e3,
% 196.87/31.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1) = all_57_0 & op(e3, all_57_3) =
% 196.87/31.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_2 & op(e3, all_57_5) = all_57_4 &
% 196.87/31.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, all_57_7) = all_57_6 & op(e3, e3) =
% 196.87/31.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e2) = all_57_3 & op(e3,
% 196.87/31.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_5 & op(e3, e0) = all_57_7 &
% 196.87/31.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_0) &
% 196.87/31.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_2) & $i(all_57_3) &
% 196.87/31.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4) & $i(all_57_5) & $i(all_57_6) &
% 196.87/31.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7)) | (all_57_27 = e0 & ~
% 196.87/31.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e3) & ~ (all_57_10 = e2) & ~
% 196.87/31.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e1) & ~ (all_57_14 = e0) & ~
% 196.87/31.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e2) & op(e2, all_57_9) =
% 196.87/31.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_8 & op(e2, all_57_11) = all_57_10 &
% 196.87/31.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_13) = all_57_12 & op(e2,
% 196.87/31.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15) = all_57_14 & op(e2, e3) =
% 196.87/31.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_9 & op(e2, e2) = all_57_11 & op(e2,
% 196.87/31.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_13 & op(e2, e0) = all_57_15 &
% 196.87/31.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_8) &
% 196.87/31.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9) & $i(all_57_10) & $i(all_57_11)
% 196.87/31.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_12) & $i(all_57_13) &
% 196.87/31.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & $i(all_57_15)) | (all_57_29
% 196.87/31.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & ~ (all_57_16 = e3) & ~ (all_57_18 =
% 196.87/31.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_20 = e1) & ~ (all_57_22
% 196.87/31.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_31 = e1) & op(e1,
% 196.87/31.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17) = all_57_16 & op(e1, all_57_19)
% 196.87/31.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_18 & op(e1, all_57_21) = all_57_20
% 196.87/31.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, all_57_23) = all_57_22 & op(e1, e3)
% 196.87/31.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_17 & op(e1, e2) = all_57_19 &
% 196.87/31.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_21 & op(e1, e0) =
% 196.87/31.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23 & op(e0, e1) = e0 & $i(all_57_16)
% 196.87/31.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_17) & $i(all_57_18) &
% 196.87/31.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_20) &
% 196.87/31.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_22) &
% 196.87/31.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23))))
% 196.87/31.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5801) gives:
% 196.87/31.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 196.87/31.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5802) all_57_17 = e1 & ~ (all_57_0 = e3) & ~ (all_57_2
% 196.87/31.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2) & ~ (all_57_4 = e1) & ~ (all_57_6 = e0)
% 196.87/31.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_21 = e3) & op(e3, all_57_1) =
% 196.87/31.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_0 & op(e3, all_57_3) = all_57_2 & op(e3,
% 196.87/31.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_5) = all_57_4 & op(e3, all_57_7) =
% 196.87/31.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_6 & op(e3, e3) = all_57_1 & op(e3, e2) =
% 196.87/31.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 & op(e3, e1) = all_57_5 & op(e3, e0) =
% 196.87/31.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7 & op(e1, e3) = e1 & op(e1, e1) =
% 196.87/31.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_21 & $i(all_57_0) & $i(all_57_1) &
% 196.87/31.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_2) & $i(all_57_3) & $i(all_57_4) &
% 196.87/31.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 196.87/31.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21)
% 196.87/31.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5802) implies:
% 196.87/31.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5803) op(e1, e3) = e1
% 196.87/31.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5794), (5795), (5803), (function-axioms) are
% 196.87/31.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1850.
% 196.87/31.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 196.87/31.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5804) (all_57_19 = e1 & ~ (all_57_8 = e3) & ~
% 196.87/31.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e2) & ~ (all_57_12 = e1) & ~
% 196.87/31.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e0) & ~ (all_57_21 = e2) & op(e2,
% 196.87/31.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_9) = all_57_8 & op(e2, all_57_11) =
% 196.87/31.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e2, all_57_13) = all_57_12 &
% 196.87/31.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_15) = all_57_14 & op(e2, e3) =
% 196.87/31.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_9 & op(e2, e2) = all_57_11 & op(e2, e1) =
% 196.87/31.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_13 & op(e2, e0) = all_57_15 & op(e1, e2)
% 196.87/31.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & op(e1, e1) = all_57_21 & $i(all_57_8) &
% 196.87/31.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9) & $i(all_57_10) & $i(all_57_11) &
% 196.87/31.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & $i(all_57_13) & $i(all_57_14) &
% 196.87/31.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & $i(all_57_21)) | (op(e0, e0) =
% 196.87/31.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_31 & $i(all_57_31) & ((all_57_23 = e1 &
% 196.87/31.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_21 = e0) & ~ (all_57_24 = e3) &
% 196.87/31.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_26 = e2) & ~ (all_57_28 = e1) &
% 196.87/31.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_30 = e0) & op(e1, e1) = all_57_21
% 196.87/31.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e0) = e1 & op(e0, all_57_25) =
% 196.87/31.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_24 & op(e0, all_57_27) = all_57_26 &
% 196.87/31.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_29) = all_57_28 & op(e0,
% 196.87/31.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_31) = all_57_30 & op(e0, e3) =
% 196.87/31.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_27 & op(e0,
% 196.87/31.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_29 & $i(all_57_21) &
% 196.87/31.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_24) & $i(all_57_25) &
% 196.87/31.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_27) &
% 196.87/31.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28) & $i(all_57_29) &
% 196.87/31.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_25 = e0 & ~
% 196.87/31.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_0 = e3) & ~ (all_57_2 = e2) & ~
% 196.87/31.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1) & ~ (all_57_6 = e0) & ~
% 196.87/31.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e3) & op(e3, all_57_1) =
% 196.87/31.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_0 & op(e3, all_57_3) = all_57_2 &
% 196.87/31.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, all_57_5) = all_57_4 & op(e3,
% 196.87/31.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7) = all_57_6 & op(e3, e3) =
% 196.87/31.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e2) = all_57_3 & op(e3,
% 196.87/31.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_5 & op(e3, e0) = all_57_7 &
% 196.87/31.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_0) &
% 196.87/31.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_2) & $i(all_57_3) &
% 196.87/31.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4) & $i(all_57_5) & $i(all_57_6) &
% 196.87/31.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7)) | (all_57_27 = e0 & ~
% 196.87/31.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e3) & ~ (all_57_10 = e2) & ~
% 196.87/31.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e1) & ~ (all_57_14 = e0) & ~
% 196.87/31.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e2) & op(e2, all_57_9) =
% 196.87/31.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_8 & op(e2, all_57_11) = all_57_10 &
% 196.87/31.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_13) = all_57_12 & op(e2,
% 196.87/31.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15) = all_57_14 & op(e2, e3) =
% 196.87/31.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_9 & op(e2, e2) = all_57_11 & op(e2,
% 196.87/31.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_13 & op(e2, e0) = all_57_15 &
% 196.87/31.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_8) &
% 196.87/31.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9) & $i(all_57_10) & $i(all_57_11)
% 196.87/31.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_12) & $i(all_57_13) &
% 196.87/31.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & $i(all_57_15)) | (all_57_29
% 196.87/31.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & ~ (all_57_16 = e3) & ~ (all_57_18 =
% 196.87/31.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_20 = e1) & ~ (all_57_22
% 196.87/31.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_31 = e1) & op(e1,
% 196.87/31.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17) = all_57_16 & op(e1, all_57_19)
% 196.87/31.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_18 & op(e1, all_57_21) = all_57_20
% 196.87/31.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, all_57_23) = all_57_22 & op(e1, e3)
% 196.87/31.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_17 & op(e1, e2) = all_57_19 &
% 196.87/31.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_21 & op(e1, e0) =
% 196.87/31.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23 & op(e0, e1) = e0 & $i(all_57_16)
% 196.87/31.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_17) & $i(all_57_18) &
% 196.87/31.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_20) &
% 196.87/31.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_22) &
% 196.87/31.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23))))
% 196.87/31.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (157), (158), (159), (206), (5198), (5460),
% 196.87/31.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5461), (5712), (5730), (5804), (function-axioms)
% 196.87/31.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #966.
% 196.87/31.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 196.87/31.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 196.87/31.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 196.87/31.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 196.87/31.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5805) (all_57_21 = e2 & ~ (all_57_8 = e3) & ~
% 196.87/31.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e2) & ~ (all_57_12 = e1) & ~
% 196.87/31.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e0) & ~ (all_57_19 = e1) & op(e2,
% 196.87/31.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_9) = all_57_8 & op(e2, all_57_11) =
% 196.87/31.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e2, all_57_13) = all_57_12 &
% 196.87/31.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_15) = all_57_14 & op(e2, e3) =
% 196.87/31.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_9 & op(e2, e2) = all_57_11 & op(e2, e1) =
% 196.87/31.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_13 & op(e2, e0) = all_57_15 & op(e1, e2)
% 196.87/31.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_19 & op(e1, e1) = e2 & $i(all_57_8) &
% 196.87/31.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9) & $i(all_57_10) & $i(all_57_11) &
% 196.87/31.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & $i(all_57_13) & $i(all_57_14) &
% 196.87/31.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & $i(all_57_19)) | (op(e0, e0) =
% 196.87/31.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_31 & $i(all_57_31) & ((all_57_21 = e0 &
% 196.87/31.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_23 = e1) & ~ (all_57_24 = e3) &
% 196.87/31.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_26 = e2) & ~ (all_57_28 = e1) &
% 196.87/31.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_30 = e0) & op(e1, e1) = e0 &
% 196.87/31.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_23 & op(e0, all_57_25) =
% 196.87/31.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_24 & op(e0, all_57_27) = all_57_26 &
% 196.87/31.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_29) = all_57_28 & op(e0,
% 196.87/31.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_31) = all_57_30 & op(e0, e3) =
% 196.87/31.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_27 & op(e0,
% 196.87/31.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_29 & $i(all_57_23) &
% 196.87/31.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_24) & $i(all_57_25) &
% 196.87/31.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_27) &
% 196.87/31.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28) & $i(all_57_29) &
% 196.87/31.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_31 = e3 & ~
% 196.87/31.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_0 = e3) & ~ (all_57_2 = e2) & ~
% 196.87/31.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1) & ~ (all_57_6 = e0) & ~
% 196.87/31.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_25 = e0) & op(e3, all_57_1) =
% 196.87/31.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_0 & op(e3, all_57_3) = all_57_2 &
% 196.87/31.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, all_57_5) = all_57_4 & op(e3,
% 196.87/31.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7) = all_57_6 & op(e3, e3) =
% 196.87/31.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e2) = all_57_3 & op(e3,
% 196.87/31.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_5 & op(e3, e0) = all_57_7 &
% 196.87/31.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_25 & $i(all_57_0) &
% 196.87/31.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_2) & $i(all_57_3) &
% 196.87/31.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4) & $i(all_57_5) & $i(all_57_6) &
% 196.87/31.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7) & $i(all_57_25)) | (all_57_31 =
% 196.87/31.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_8 = e3) & ~ (all_57_10 =
% 196.87/31.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_12 = e1) & ~ (all_57_14
% 196.87/31.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_27 = e0) & op(e2,
% 196.87/31.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_9) = all_57_8 & op(e2, all_57_11) =
% 196.87/31.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e2, all_57_13) = all_57_12 &
% 196.87/31.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_15) = all_57_14 & op(e2, e3) =
% 196.87/31.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_9 & op(e2, e2) = all_57_11 & op(e2,
% 196.87/31.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_13 & op(e2, e0) = all_57_15 &
% 196.87/31.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_27 & $i(all_57_8) &
% 196.87/31.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9) & $i(all_57_10) & $i(all_57_11)
% 196.87/31.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_12) & $i(all_57_13) &
% 196.87/31.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & $i(all_57_15) &
% 196.87/31.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27)) | (all_57_31 = e1 & ~
% 196.87/31.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_16 = e3) & ~ (all_57_18 = e2) & ~
% 196.87/31.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_22 = e0) & ~
% 196.87/31.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_29 = e0) & op(e1, all_57_17) =
% 196.87/31.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_16 & op(e1, all_57_19) = all_57_18 &
% 196.87/31.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_21) = all_57_20 & op(e1,
% 196.87/31.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23) = all_57_22 & op(e1, e3) =
% 196.87/31.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e1, e2) = all_57_19 & op(e1,
% 196.87/31.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_21 & op(e1, e0) = all_57_23 &
% 196.87/31.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = all_57_29 & $i(all_57_16) &
% 196.87/31.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_17) & $i(all_57_18) &
% 196.87/31.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_20) &
% 196.87/31.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_22) &
% 196.87/31.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23) & $i(all_57_29))))
% 196.87/31.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5805) gives:
% 196.87/31.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 196.87/31.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5806) all_57_21 = e2 & ~ (all_57_8 = e3) & ~
% 196.87/31.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e2) & ~ (all_57_12 = e1) & ~
% 196.87/31.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e0) & ~ (all_57_19 = e1) & op(e2,
% 196.87/31.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_9) = all_57_8 & op(e2, all_57_11) =
% 196.87/31.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e2, all_57_13) = all_57_12 & op(e2,
% 196.87/31.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15) = all_57_14 & op(e2, e3) = all_57_9 &
% 196.87/31.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_11 & op(e2, e1) = all_57_13 &
% 196.87/31.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_15 & op(e1, e2) = all_57_19 &
% 196.87/31.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e2 & $i(all_57_8) & $i(all_57_9) &
% 196.87/31.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & $i(all_57_11) & $i(all_57_12) &
% 196.87/31.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13) & $i(all_57_14) & $i(all_57_15) &
% 196.87/31.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19)
% 196.87/31.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5806) implies:
% 196.87/31.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5807) op(e1, e1) = e2
% 196.87/31.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (8), (9), (162), (213), (216),
% 196.87/31.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5197), (5690), (5703), (5704), (5807),
% 196.87/31.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 196.87/31.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #973.
% 196.87/31.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 196.87/31.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5808) op(e0, e0) = all_57_31 & $i(all_57_31) &
% 196.87/31.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_21 = e0 & ~ (all_57_23 = e1) & ~
% 196.87/31.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 196.87/31.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) &
% 196.87/31.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = all_57_23 &
% 196.87/31.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_25) = all_57_24 & op(e0,
% 196.87/31.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27) = all_57_26 & op(e0, all_57_29) =
% 196.87/31.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_28 & op(e0, all_57_31) = all_57_30 &
% 196.87/31.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_25 & op(e0, e2) =
% 196.87/31.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27 & op(e0, e1) = all_57_29 &
% 196.87/31.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23) & $i(all_57_24) & $i(all_57_25)
% 196.87/31.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_26) & $i(all_57_27) &
% 196.87/31.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28) & $i(all_57_29) & $i(all_57_30))
% 196.87/31.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e3 & ~ (all_57_0 = e3) & ~
% 196.87/31.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e2) & ~ (all_57_4 = e1) & ~
% 196.87/31.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_6 = e0) & ~ (all_57_25 = e0) & op(e3,
% 196.87/31.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1) = all_57_0 & op(e3, all_57_3) =
% 196.87/31.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_2 & op(e3, all_57_5) = all_57_4 &
% 196.87/31.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, all_57_7) = all_57_6 & op(e3, e3) =
% 196.87/31.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e2) = all_57_3 & op(e3, e1)
% 196.87/31.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_5 & op(e3, e0) = all_57_7 & op(e0,
% 196.87/31.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_25 & $i(all_57_0) &
% 196.87/31.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_2) & $i(all_57_3) &
% 196.87/31.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4) & $i(all_57_5) & $i(all_57_6) &
% 196.87/31.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7) & $i(all_57_25)) | (all_57_31 =
% 196.87/31.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_8 = e3) & ~ (all_57_10 = e2)
% 196.87/31.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_12 = e1) & ~ (all_57_14 = e0) &
% 196.87/31.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_27 = e0) & op(e2, all_57_9) =
% 196.87/31.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_8 & op(e2, all_57_11) = all_57_10 &
% 196.87/31.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_13) = all_57_12 & op(e2,
% 196.87/31.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15) = all_57_14 & op(e2, e3) =
% 196.87/31.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_9 & op(e2, e2) = all_57_11 & op(e2, e1)
% 196.87/31.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_13 & op(e2, e0) = all_57_15 & op(e0,
% 196.87/31.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_27 & $i(all_57_8) &
% 196.87/31.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9) & $i(all_57_10) & $i(all_57_11) &
% 196.87/31.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & $i(all_57_13) & $i(all_57_14)
% 196.87/31.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_15) & $i(all_57_27)) | (all_57_31
% 196.87/31.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_16 = e3) & ~ (all_57_18 =
% 196.87/31.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_20 = e1) & ~ (all_57_22 =
% 196.87/31.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_29 = e0) & op(e1,
% 196.87/31.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17) = all_57_16 & op(e1, all_57_19) =
% 196.87/31.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_18 & op(e1, all_57_21) = all_57_20 &
% 196.87/31.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_23) = all_57_22 & op(e1, e3) =
% 196.87/31.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e1, e2) = all_57_19 & op(e1,
% 196.87/31.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_21 & op(e1, e0) = all_57_23 &
% 196.87/31.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = all_57_29 & $i(all_57_16) &
% 196.87/31.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_17) & $i(all_57_18) & $i(all_57_19)
% 196.87/31.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_20) & $i(all_57_21) &
% 196.87/31.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_23) &
% 196.87/31.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29)))
% 196.87/31.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5808) implies:
% 196.87/31.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5809) op(e0, e0) = all_57_31
% 196.87/31.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5810) (all_57_21 = e0 & ~ (all_57_23 = e1) & ~
% 196.87/31.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 196.87/31.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) & op(e1,
% 196.87/31.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0 & op(e1, e0) = all_57_23 & op(e0,
% 196.87/31.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25) = all_57_24 & op(e0, all_57_27) =
% 196.87/31.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e0, all_57_29) = all_57_28 &
% 196.87/31.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_31) = all_57_30 & op(e0, e3) =
% 196.87/31.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_27 & op(e0, e1)
% 196.87/31.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_29 & $i(all_57_23) & $i(all_57_24) &
% 196.87/31.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_25) & $i(all_57_26) & $i(all_57_27) &
% 196.87/31.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28) & $i(all_57_29) & $i(all_57_30)) |
% 196.87/31.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e3 & ~ (all_57_0 = e3) & ~
% 196.87/31.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e2) & ~ (all_57_4 = e1) & ~
% 196.87/31.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_6 = e0) & ~ (all_57_25 = e0) & op(e3,
% 196.87/31.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1) = all_57_0 & op(e3, all_57_3) =
% 196.87/31.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_2 & op(e3, all_57_5) = all_57_4 & op(e3,
% 196.87/31.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7) = all_57_6 & op(e3, e3) = all_57_1 &
% 196.87/31.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_3 & op(e3, e1) = all_57_5 &
% 196.87/31.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_7 & op(e0, e3) = all_57_25 &
% 196.87/31.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_0) & $i(all_57_1) & $i(all_57_2) &
% 196.87/31.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_3) & $i(all_57_4) & $i(all_57_5) &
% 196.87/31.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_6) & $i(all_57_7) & $i(all_57_25)) |
% 196.87/31.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e2 & ~ (all_57_8 = e3) & ~
% 196.87/31.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e2) & ~ (all_57_12 = e1) & ~
% 196.87/31.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e0) & ~ (all_57_27 = e0) & op(e2,
% 196.87/31.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_9) = all_57_8 & op(e2, all_57_11) =
% 196.87/31.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e2, all_57_13) = all_57_12 &
% 196.87/31.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_15) = all_57_14 & op(e2, e3) =
% 196.87/31.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_9 & op(e2, e2) = all_57_11 & op(e2, e1) =
% 196.87/31.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_13 & op(e2, e0) = all_57_15 & op(e0, e2)
% 196.87/31.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_27 & $i(all_57_8) & $i(all_57_9) &
% 196.87/31.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & $i(all_57_11) & $i(all_57_12) &
% 196.87/31.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13) & $i(all_57_14) & $i(all_57_15) &
% 196.87/31.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27)) | (all_57_31 = e1 & ~ (all_57_16
% 196.87/31.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_18 = e2) & ~ (all_57_20 =
% 196.87/31.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_22 = e0) & ~ (all_57_29 =
% 196.87/31.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & op(e1, all_57_17) = all_57_16 & op(e1,
% 196.87/31.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_19) = all_57_18 & op(e1, all_57_21) =
% 196.87/31.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20 & op(e1, all_57_23) = all_57_22 &
% 196.87/31.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_17 & op(e1, e2) = all_57_19
% 196.87/31.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = all_57_21 & op(e1, e0) =
% 196.87/31.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23 & op(e0, e1) = all_57_29 &
% 196.87/31.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_16) & $i(all_57_17) & $i(all_57_18) &
% 196.87/31.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_20) & $i(all_57_21) &
% 196.87/31.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_23) & $i(all_57_29))
% 196.87/31.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5810) gives:
% 196.87/31.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 196.87/31.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5811) (all_57_21 = e0 & ~ (all_57_23 = e1) & ~
% 196.87/31.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 196.87/31.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) & op(e1,
% 196.87/31.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0 & op(e1, e0) = all_57_23 & op(e0,
% 196.87/31.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25) = all_57_24 & op(e0, all_57_27) =
% 196.87/31.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e0, all_57_29) = all_57_28 &
% 196.87/31.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_31) = all_57_30 & op(e0, e3) =
% 196.87/31.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_27 & op(e0, e1)
% 196.87/31.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_29 & $i(all_57_23) & $i(all_57_24) &
% 196.87/31.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_25) & $i(all_57_26) & $i(all_57_27) &
% 196.87/31.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28) & $i(all_57_29) & $i(all_57_30)) |
% 196.87/31.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e3 & ~ (all_57_0 = e3) & ~
% 196.87/31.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e2) & ~ (all_57_4 = e1) & ~
% 196.87/31.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_6 = e0) & ~ (all_57_25 = e0) & op(e3,
% 196.87/31.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1) = all_57_0 & op(e3, all_57_3) =
% 196.87/31.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_2 & op(e3, all_57_5) = all_57_4 & op(e3,
% 196.87/31.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7) = all_57_6 & op(e3, e3) = all_57_1 &
% 196.87/31.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_3 & op(e3, e1) = all_57_5 &
% 196.87/31.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_7 & op(e0, e3) = all_57_25 &
% 196.87/31.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_0) & $i(all_57_1) & $i(all_57_2) &
% 196.87/31.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_3) & $i(all_57_4) & $i(all_57_5) &
% 196.87/31.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_6) & $i(all_57_7) & $i(all_57_25))
% 196.87/31.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5811) gives:
% 196.87/31.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 196.87/31.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5812) all_57_21 = e0 & ~ (all_57_23 = e1) & ~
% 196.87/31.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 196.87/31.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) & op(e1,
% 196.87/31.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0 & op(e1, e0) = all_57_23 & op(e0,
% 196.87/31.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25) = all_57_24 & op(e0, all_57_27) =
% 196.87/31.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e0, all_57_29) = all_57_28 & op(e0,
% 196.87/31.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_31) = all_57_30 & op(e0, e3) = all_57_25
% 196.87/31.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e2) = all_57_27 & op(e0, e1) = all_57_29
% 196.87/31.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_23) & $i(all_57_24) & $i(all_57_25) &
% 196.87/31.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_27) & $i(all_57_28) &
% 196.87/31.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29) & $i(all_57_30)
% 196.87/31.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5812) implies:
% 196.87/31.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5813) ~ (all_57_30 = e0)
% 196.87/31.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5814) op(e0, all_57_31) = all_57_30
% 196.87/31.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (158), (159), (206), (5198), (5460), (5730),
% 196.87/31.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5809), (5813), (5814), (function-axioms) are
% 196.87/31.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1710.
% 196.87/31.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 196.87/31.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5815) all_57_31 = e3 & ~ (all_57_0 = e3) & ~ (all_57_2
% 196.87/31.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2) & ~ (all_57_4 = e1) & ~ (all_57_6 = e0)
% 196.87/31.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_25 = e0) & op(e3, all_57_1) =
% 196.87/31.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_0 & op(e3, all_57_3) = all_57_2 & op(e3,
% 196.87/31.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_5) = all_57_4 & op(e3, all_57_7) =
% 196.87/31.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_6 & op(e3, e3) = all_57_1 & op(e3, e2) =
% 196.87/31.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 & op(e3, e1) = all_57_5 & op(e3, e0) =
% 196.87/31.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7 & op(e0, e3) = all_57_25 & $i(all_57_0) &
% 196.87/31.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_2) & $i(all_57_3) &
% 196.87/31.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4) & $i(all_57_5) & $i(all_57_6) &
% 196.87/31.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7) & $i(all_57_25)
% 196.87/31.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5815) implies:
% 196.87/31.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5816) all_57_31 = e3
% 196.87/31.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5817) ~ (all_57_4 = e1)
% 196.87/31.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5818) op(e3, e1) = all_57_5
% 196.87/31.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5819) op(e3, all_57_5) = all_57_4
% 196.87/31.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5809), (5816) imply:
% 196.87/31.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5820) op(e0, e0) = e3
% 196.87/31.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (157), (158), (169),
% 196.87/31.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (206), (218), (219), (220), (222), (223), (5135),
% 196.87/31.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5198), (5204), (5438), (5440), (5442), (5711),
% 196.87/31.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5736), (5817), (5818), (5819), (5820),
% 196.87/31.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 196.87/31.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #964.
% 196.87/31.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 196.87/31.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 196.87/31.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5821) (all_57_31 = e2 & ~ (all_57_8 = e3) & ~
% 196.87/31.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e2) & ~ (all_57_12 = e1) & ~
% 196.87/31.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e0) & ~ (all_57_27 = e0) & op(e2,
% 196.87/31.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_9) = all_57_8 & op(e2, all_57_11) =
% 196.87/31.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e2, all_57_13) = all_57_12 &
% 196.87/31.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_15) = all_57_14 & op(e2, e3) =
% 196.87/31.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_9 & op(e2, e2) = all_57_11 & op(e2, e1) =
% 196.87/31.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_13 & op(e2, e0) = all_57_15 & op(e0, e2)
% 196.87/31.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_27 & $i(all_57_8) & $i(all_57_9) &
% 196.87/31.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & $i(all_57_11) & $i(all_57_12) &
% 196.87/31.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13) & $i(all_57_14) & $i(all_57_15) &
% 196.87/31.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27)) | (all_57_31 = e1 & ~ (all_57_16
% 196.87/31.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_18 = e2) & ~ (all_57_20 =
% 196.87/31.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_22 = e0) & ~ (all_57_29 =
% 196.87/31.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & op(e1, all_57_17) = all_57_16 & op(e1,
% 196.87/31.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_19) = all_57_18 & op(e1, all_57_21) =
% 196.87/31.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20 & op(e1, all_57_23) = all_57_22 &
% 196.87/31.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_17 & op(e1, e2) = all_57_19
% 196.87/31.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = all_57_21 & op(e1, e0) =
% 196.87/31.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23 & op(e0, e1) = all_57_29 &
% 196.87/31.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_16) & $i(all_57_17) & $i(all_57_18) &
% 196.87/31.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_20) & $i(all_57_21) &
% 196.87/31.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_23) & $i(all_57_29))
% 196.87/31.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5821) gives:
% 196.87/31.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 196.87/31.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5822) all_57_31 = e2 & ~ (all_57_8 = e3) & ~
% 196.87/31.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e2) & ~ (all_57_12 = e1) & ~
% 196.87/31.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e0) & ~ (all_57_27 = e0) & op(e2,
% 196.87/31.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_9) = all_57_8 & op(e2, all_57_11) =
% 196.87/31.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e2, all_57_13) = all_57_12 & op(e2,
% 196.87/31.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15) = all_57_14 & op(e2, e3) = all_57_9 &
% 196.87/31.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_11 & op(e2, e1) = all_57_13 &
% 196.87/31.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_15 & op(e0, e2) = all_57_27 &
% 196.87/31.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8) & $i(all_57_9) & $i(all_57_10) &
% 196.87/31.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_12) & $i(all_57_13) &
% 196.87/31.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & $i(all_57_15) & $i(all_57_27)
% 196.87/31.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5822) implies:
% 196.87/31.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5823) ~ (all_57_8 = e3)
% 196.87/31.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5824) op(e2, e3) = all_57_9
% 196.87/31.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5825) op(e2, all_57_9) = all_57_8
% 196.87/31.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5712), (5823), (5824), (5825), (function-axioms)
% 196.87/31.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1830.
% 196.87/31.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 196.87/31.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5826) all_57_31 = e1 & ~ (all_57_16 = e3) & ~
% 196.87/31.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_18 = e2) & ~ (all_57_20 = e1) & ~
% 196.87/31.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_22 = e0) & ~ (all_57_29 = e0) & op(e1,
% 196.87/31.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17) = all_57_16 & op(e1, all_57_19) =
% 196.87/31.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_18 & op(e1, all_57_21) = all_57_20 & op(e1,
% 196.87/31.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23) = all_57_22 & op(e1, e3) = all_57_17
% 196.87/31.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = all_57_19 & op(e1, e1) = all_57_21
% 196.87/31.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e0) = all_57_23 & op(e0, e1) = all_57_29
% 196.87/31.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_16) & $i(all_57_17) & $i(all_57_18) &
% 196.87/31.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_20) & $i(all_57_21) &
% 196.87/31.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_23) & $i(all_57_29)
% 196.87/31.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5826) implies:
% 196.87/31.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5827) all_57_31 = e1
% 196.87/31.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5809), (5827) imply:
% 196.87/31.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5828) op(e0, e0) = e1
% 196.87/31.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (227) gives:
% 196.87/31.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 196.87/31.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5829) (all_56_1 = e2 & op(e3, e2) = e2) | (all_56_3 = e2
% 196.87/31.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e2)
% 196.87/31.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (170), (5134), (5204), (5829),
% 196.87/31.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 196.87/31.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1440.
% 196.87/31.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 196.87/31.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5688) gives:
% 196.87/31.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 196.87/31.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (45), (157), (158),
% 196.87/31.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (160), (162), (164), (214), (217), (219), (220),
% 196.87/31.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (222), (223), (224), (225), (226), (227), (228),
% 196.87/31.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (371), (5197), (5198), (5204), (5440), (5473),
% 196.87/31.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5690), (5708), (5716), (5749), (5828),
% 196.87/31.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 196.87/31.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #962.
% 196.87/31.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 196.87/31.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5830) all_56_13 = e2 & op(e0, e2) = e2
% 196.87/31.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (206), (210), (212),
% 196.87/31.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5676), (5686), (5708), (5830) are inconsistent by
% 196.87/31.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #961.
% 196.87/31.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 196.87/31.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 196.87/31.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 196.87/31.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 196.87/31.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 196.87/31.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 196.87/31.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 196.87/31.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 196.87/31.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 196.87/31.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5831) all_54_7 = e1 | all_54_7 = e0
% 196.87/31.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (260), (5200), (5770), (5831) are inconsistent by
% 196.87/31.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1257.
% 196.87/31.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 196.87/31.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 196.87/31.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 196.87/31.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5832) all_54_11 = e0
% 196.87/31.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (250), (5832) imply:
% 196.87/31.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5833) all_52_14 = e0
% 196.87/31.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5463), (5833) imply:
% 196.87/31.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5834) $false
% 196.87/31.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (5834) is inconsistent.
% 196.87/31.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 196.87/31.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 196.87/31.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 196.87/31.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 196.87/31.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5835) all_54_9 = e1 | all_54_9 = e0
% 196.87/31.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (258), (5197), (5744), (5835) are inconsistent by
% 196.87/31.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1298.
% 196.87/31.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 196.87/31.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 196.87/31.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 196.87/31.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5836) ~ (all_54_3 = e3)
% 196.87/31.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (270), (5836) imply:
% 196.87/31.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5837) ~ (all_52_12 = e3)
% 196.87/31.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (168), (169), (170), (236), (5144), (5438),
% 196.87/31.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5670), (5837), (function-axioms) are inconsistent
% 196.87/31.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1459.
% 196.87/31.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 196.87/31.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 196.87/31.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5838) all_54_1 = e0
% 196.87/31.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (272), (5196), (5838) are inconsistent by
% 196.87/31.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #960.
% 196.87/31.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 196.87/31.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 196.87/31.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 196.87/31.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 196.87/31.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 196.87/31.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 196.87/31.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 196.87/31.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5839) all_56_10 = e1 & op(e2, e0) = e1
% 196.87/31.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (5708), (5839) are inconsistent by sub-proof
% 196.87/31.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1788.
% 196.87/31.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 196.87/31.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 196.87/31.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 196.87/31.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5840) all_56_3 = e3 & op(e2, e2) = e3
% 196.87/31.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5840) implies:
% 196.87/31.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5841) op(e2, e2) = e3
% 196.87/31.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (225), (226), (227),
% 196.87/31.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5686), (5841), (function-axioms) are inconsistent
% 196.87/31.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1660.
% 196.87/31.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 196.87/31.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 196.87/31.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5842) (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 =
% 196.87/31.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e0) = e3)
% 196.87/31.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5842) gives:
% 196.87/31.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 196.87/31.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5843) all_56_5 = e3 & op(e2, e1) = e3
% 196.87/31.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5843) implies:
% 196.87/31.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5844) op(e2, e1) = e3
% 196.87/31.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (5439), (5844), (function-axioms) are
% 196.87/31.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1861.
% 196.87/31.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 196.87/31.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5845) all_56_10 = e3 & op(e2, e0) = e3
% 196.87/31.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5845) implies:
% 196.87/31.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5846) all_56_10 = e3
% 196.87/31.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5708), (5846) imply:
% 196.87/31.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5847) e3 = e2
% 196.87/31.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (206), (210), (212),
% 196.87/31.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5676), (5708), (5847) are inconsistent by
% 196.87/31.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #959.
% 196.87/31.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 196.87/31.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 196.87/31.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 196.87/31.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 196.87/31.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5848) (all_56_11 = e2 & op(e1, e0) = e2) | (all_56_15 =
% 196.87/31.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = e2)
% 196.87/31.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (5465), (5704), (5848),
% 196.87/31.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 196.87/31.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #958.
% 196.87/31.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 196.87/31.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 196.87/31.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 196.87/31.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 196.87/31.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5849) all_56_13 = e2 & op(e0, e2) = e2
% 196.87/31.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (5686), (5849) are inconsistent by sub-proof
% 196.87/31.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1686.
% 196.87/31.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 196.87/31.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 196.87/31.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 196.87/31.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 196.87/31.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 196.87/31.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 196.87/31.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5850) (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_9 = e1
% 196.87/31.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e1)
% 196.87/31.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (8), (5468), (5676), (5850) are inconsistent
% 196.87/31.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #957.
% 196.87/31.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 196.87/31.25 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.25 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 196.87/31.25 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.25 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 196.87/31.25 | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.25 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 196.87/31.25 | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.25 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 196.87/31.25 | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.25 | | | | | | | | | | | | | | | | | | | | | | | | (5851) all_56_12 = e0 & op(e0, e3) = e0
% 196.87/31.25 | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.25 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5851) implies:
% 196.87/31.25 | | | | | | | | | | | | | | | | | | | | | | | | (5852) op(e0, e3) = e0
% 196.87/31.25 | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.25 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (159), (5460), (5852), (function-axioms) are
% 196.87/31.25 | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1896.
% 196.87/31.25 | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.25 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 196.87/31.25 | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.25 | | | | | | | | | | | | | | | | | | | | | | End of split
% 196.87/31.25 | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.25 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 196.87/31.25 | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.25 | | | | | | | | | | | | | | | | | | | | | | (5853) all_56_5 = e0 & op(e2, e1) = e0
% 196.87/31.25 | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.25 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5853) implies:
% 196.87/31.25 | | | | | | | | | | | | | | | | | | | | | | (5854) all_56_5 = e0
% 196.87/31.25 | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.25 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (158), (162), (222),
% 196.87/31.25 | | | | | | | | | | | | | | | | | | | | | | (223), (224), (225), (226), (227), (228), (5197),
% 196.87/31.25 | | | | | | | | | | | | | | | | | | | | | | (5198), (5204), (5854), (function-axioms) are
% 196.87/31.25 | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1465.
% 196.87/31.25 | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.25 | | | | | | | | | | | | | | | | | | | | | End of split
% 196.87/31.25 | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.25 | | | | | | | | | | | | | | | | | | | | Case 2:
% 196.87/31.25 | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.25 | | | | | | | | | | | | | | | | | | | | | (5855) (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_14 =
% 196.87/31.25 | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0)
% 196.87/31.25 | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.25 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (157), (5442), (5461), (5855),
% 196.87/31.25 | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 196.87/31.25 | | | | | | | | | | | | | | | | | | | | | #1274.
% 196.87/31.25 | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.25 | | | | | | | | | | | | | | | | | | | | End of split
% 196.87/31.25 | | | | | | | | | | | | | | | | | | | |
% 196.87/31.25 | | | | | | | | | | | | | | | | | | | End of split
% 196.87/31.25 | | | | | | | | | | | | | | | | | | |
% 196.87/31.25 | | | | | | | | | | | | | | | | | | End of split
% 196.87/31.25 | | | | | | | | | | | | | | | | | |
% 196.87/31.25 | | | | | | | | | | | | | | | | | End of split
% 196.87/31.25 | | | | | | | | | | | | | | | | |
% 196.87/31.25 | | | | | | | | | | | | | | | | Case 2:
% 196.87/31.25 | | | | | | | | | | | | | | | | |
% 196.87/31.25 | | | | | | | | | | | | | | | | | (5856) all_40_2 = e1
% 196.87/31.25 | | | | | | | | | | | | | | | | | (5857) op(e1, e0) = all_40_1 & $i(all_40_1) & ( ~
% 196.87/31.25 | | | | | | | | | | | | | | | | | (all_40_1 = e3) | ( ~ (all_40_0 = e2) & op(e3,
% 196.87/31.25 | | | | | | | | | | | | | | | | | e1) = all_40_0 & $i(all_40_0)))
% 196.87/31.25 | | | | | | | | | | | | | | | | |
% 196.87/31.25 | | | | | | | | | | | | | | | | | ALPHA: (5857) implies:
% 196.87/31.25 | | | | | | | | | | | | | | | | | (5858) op(e1, e0) = all_40_1
% 196.87/31.25 | | | | | | | | | | | | | | | | |
% 196.87/31.25 | | | | | | | | | | | | | | | | | COMBINE_EQS: (307), (5856) imply:
% 196.87/31.25 | | | | | | | | | | | | | | | | | (5859) all_10_2 = e1
% 196.87/31.25 | | | | | | | | | | | | | | | | |
% 196.87/31.25 | | | | | | | | | | | | | | | | | SIMP: (5859) implies:
% 196.87/31.25 | | | | | | | | | | | | | | | | | (5860) all_10_2 = e1
% 196.87/31.25 | | | | | | | | | | | | | | | | |
% 196.87/31.25 | | | | | | | | | | | | | | | | | COMBINE_EQS: (297), (5860) imply:
% 196.87/31.25 | | | | | | | | | | | | | | | | | (5861) all_46_2 = e1
% 196.87/31.25 | | | | | | | | | | | | | | | | |
% 196.87/31.25 | | | | | | | | | | | | | | | | | REDUCE: (370), (5860) imply:
% 196.87/31.25 | | | | | | | | | | | | | | | | | (5862) ~ (all_52_13 = e1)
% 196.87/31.25 | | | | | | | | | | | | | | | | |
% 196.87/31.25 | | | | | | | | | | | | | | | | | REDUCE: (371), (5860) imply:
% 196.87/31.25 | | | | | | | | | | | | | | | | | (5863) ~ (all_52_14 = e1)
% 196.87/31.25 | | | | | | | | | | | | | | | | |
% 196.87/31.25 | | | | | | | | | | | | | | | | | REDUCE: (376), (5860) imply:
% 196.87/31.25 | | | | | | | | | | | | | | | | | (5864) ~ (e3 = e1)
% 196.87/31.25 | | | | | | | | | | | | | | | | |
% 196.87/31.25 | | | | | | | | | | | | | | | | | REDUCE: (5227), (5860) imply:
% 196.87/31.25 | | | | | | | | | | | | | | | | | (5865) ~ (e2 = e1)
% 196.87/31.25 | | | | | | | | | | | | | | | | |
% 196.87/31.25 | | | | | | | | | | | | | | | | | REDUCE: (45), (5860) imply:
% 196.87/31.25 | | | | | | | | | | | | | | | | | (5866) op(e0, e0) = e1
% 196.87/31.25 | | | | | | | | | | | | | | | | |
% 196.87/31.25 | | | | | | | | | | | | | | | | | BETA: splitting (100) gives:
% 196.87/31.25 | | | | | | | | | | | | | | | | |
% 196.87/31.25 | | | | | | | | | | | | | | | | | Case 1:
% 196.87/31.25 | | | | | | | | | | | | | | | | | |
% 196.87/31.25 | | | | | | | | | | | | | | | | | | (5867) ~ (all_46_2 = e1)
% 196.87/31.25 | | | | | | | | | | | | | | | | | |
% 196.87/31.25 | | | | | | | | | | | | | | | | | | REDUCE: (5861), (5867) imply:
% 196.87/31.25 | | | | | | | | | | | | | | | | | | (5868) $false
% 196.87/31.25 | | | | | | | | | | | | | | | | | |
% 196.87/31.25 | | | | | | | | | | | | | | | | | | CLOSE: (5868) is inconsistent.
% 196.87/31.25 | | | | | | | | | | | | | | | | | |
% 196.87/31.25 | | | | | | | | | | | | | | | | | Case 2:
% 196.87/31.25 | | | | | | | | | | | | | | | | | |
% 196.87/31.25 | | | | | | | | | | | | | | | | | | (5869) op(e1, e0) = all_46_1 & $i(all_46_1) & ( ~
% 196.87/31.25 | | | | | | | | | | | | | | | | | | (all_46_1 = e2) | ( ~ (all_46_0 = e3) & op(e2,
% 196.87/31.25 | | | | | | | | | | | | | | | | | | e1) = all_46_0 & $i(all_46_0)))
% 196.87/31.25 | | | | | | | | | | | | | | | | | |
% 196.87/31.25 | | | | | | | | | | | | | | | | | | ALPHA: (5869) implies:
% 196.87/31.25 | | | | | | | | | | | | | | | | | | (5870) op(e1, e0) = all_46_1
% 196.87/31.25 | | | | | | | | | | | | | | | | | |
% 196.87/31.25 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_14,
% 196.87/31.25 | | | | | | | | | | | | | | | | | | all_40_1, e0, e1, simplifying with (160), (5858)
% 196.87/31.25 | | | | | | | | | | | | | | | | | | gives:
% 196.87/31.25 | | | | | | | | | | | | | | | | | | (5871) all_52_14 = all_40_1
% 196.87/31.25 | | | | | | | | | | | | | | | | | |
% 196.87/31.25 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_14,
% 196.87/31.25 | | | | | | | | | | | | | | | | | | all_46_1, e0, e1, simplifying with (160), (5870)
% 196.87/31.25 | | | | | | | | | | | | | | | | | | gives:
% 196.87/31.25 | | | | | | | | | | | | | | | | | | (5872) all_52_14 = all_46_1
% 196.87/31.25 | | | | | | | | | | | | | | | | | |
% 196.87/31.25 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5871), (5872) imply:
% 196.87/31.25 | | | | | | | | | | | | | | | | | | (5873) all_46_1 = all_40_1
% 196.87/31.25 | | | | | | | | | | | | | | | | | |
% 196.87/31.25 | | | | | | | | | | | | | | | | | | SIMP: (5873) implies:
% 196.87/31.25 | | | | | | | | | | | | | | | | | | (5874) all_46_1 = all_40_1
% 196.87/31.25 | | | | | | | | | | | | | | | | | |
% 196.87/31.25 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (250), (5871) imply:
% 196.87/31.25 | | | | | | | | | | | | | | | | | | (5875) all_54_11 = all_40_1
% 196.87/31.25 | | | | | | | | | | | | | | | | | |
% 196.87/31.25 | | | | | | | | | | | | | | | | | | REDUCE: (141), (5871) imply:
% 196.87/31.25 | | | | | | | | | | | | | | | | | | (5876) ~ (all_52_2 = all_40_1)
% 196.87/31.25 | | | | | | | | | | | | | | | | | |
% 196.87/31.25 | | | | | | | | | | | | | | | | | | REDUCE: (126), (5871) imply:
% 196.87/31.25 | | | | | | | | | | | | | | | | | | (5877) ~ (all_52_6 = all_40_1)
% 196.87/31.25 | | | | | | | | | | | | | | | | | |
% 196.87/31.25 | | | | | | | | | | | | | | | | | | REDUCE: (110), (5871) imply:
% 196.87/31.25 | | | | | | | | | | | | | | | | | | (5878) ~ (all_52_13 = all_40_1)
% 196.87/31.25 | | | | | | | | | | | | | | | | | |
% 196.87/31.25 | | | | | | | | | | | | | | | | | | REDUCE: (5441), (5871) imply:
% 196.87/31.25 | | | | | | | | | | | | | | | | | | (5879) ~ (all_40_1 = e3)
% 196.87/31.25 | | | | | | | | | | | | | | | | | |
% 196.87/31.25 | | | | | | | | | | | | | | | | | | REDUCE: (5863), (5871) imply:
% 196.87/31.25 | | | | | | | | | | | | | | | | | | (5880) ~ (all_40_1 = e1)
% 196.87/31.25 | | | | | | | | | | | | | | | | | |
% 196.87/31.25 | | | | | | | | | | | | | | | | | | BETA: splitting (200) gives:
% 196.87/31.25 | | | | | | | | | | | | | | | | | |
% 196.87/31.25 | | | | | | | | | | | | | | | | | | Case 1:
% 196.87/31.25 | | | | | | | | | | | | | | | | | | |
% 196.87/31.25 | | | | | | | | | | | | | | | | | | | (5881) all_54_4 = e3
% 196.87/31.25 | | | | | | | | | | | | | | | | | | |
% 196.87/31.25 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5150), (5881) imply:
% 196.87/31.25 | | | | | | | | | | | | | | | | | | | (5882) all_14_1 = e3
% 196.87/31.25 | | | | | | | | | | | | | | | | | | |
% 196.87/31.25 | | | | | | | | | | | | | | | | | | | REDUCE: (5158), (5882) imply:
% 196.87/31.25 | | | | | | | | | | | | | | | | | | | (5883) ~ (all_52_13 = e3)
% 196.87/31.25 | | | | | | | | | | | | | | | | | | |
% 196.87/31.25 | | | | | | | | | | | | | | | | | | | REDUCE: (5128), (5882) imply:
% 196.87/31.25 | | | | | | | | | | | | | | | | | | | (5884) op(e2, e3) = e3
% 196.87/31.25 | | | | | | | | | | | | | | | | | | |
% 196.87/31.25 | | | | | | | | | | | | | | | | | | | BETA: splitting (235) gives:
% 196.87/31.25 | | | | | | | | | | | | | | | | | | |
% 196.87/31.25 | | | | | | | | | | | | | | | | | | | Case 1:
% 196.87/31.25 | | | | | | | | | | | | | | | | | | | |
% 196.87/31.25 | | | | | | | | | | | | | | | | | | | | (5885) (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_2 = e3
% 196.87/31.25 | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e3)
% 196.87/31.25 | | | | | | | | | | | | | | | | | | | |
% 196.87/31.25 | | | | | | | | | | | | | | | | | | | | BETA: splitting (5885) gives:
% 196.87/31.25 | | | | | | | | | | | | | | | | | | | |
% 196.87/31.25 | | | | | | | | | | | | | | | | | | | | Case 1:
% 196.87/31.25 | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.25 | | | | | | | | | | | | | | | | | | | | | (5886) all_56_0 = e3 & op(e3, e3) = e3
% 196.87/31.25 | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.25 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (5144), (5886) are inconsistent by sub-proof
% 196.87/31.25 | | | | | | | | | | | | | | | | | | | | | #1645.
% 196.87/31.25 | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.25 | | | | | | | | | | | | | | | | | | | | Case 2:
% 196.87/31.25 | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.25 | | | | | | | | | | | | | | | | | | | | | (5887) all_56_2 = e3 & op(e2, e3) = e3
% 196.87/31.25 | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.25 | | | | | | | | | | | | | | | | | | | | | ALPHA: (5887) implies:
% 196.87/31.25 | | | | | | | | | | | | | | | | | | | | | (5888) all_56_2 = e3
% 196.87/31.25 | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.25 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (197) gives:
% 196.87/31.25 | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.25 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 196.87/31.25 | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.25 | | | | | | | | | | | | | | | | | | | | | | (5889) all_54_7 = e3
% 196.87/31.25 | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.25 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (260), (5883), (5889) are inconsistent by
% 196.87/31.25 | | | | | | | | | | | | | | | | | | | | | | sub-proof #1727.
% 196.87/31.25 | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.25 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 196.87/31.25 | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.25 | | | | | | | | | | | | | | | | | | | | | | (5890) ~ (all_54_7 = e3)
% 196.87/31.25 | | | | | | | | | | | | | | | | | | | | | | (5891) all_54_7 = e2 | all_54_7 = e1 | all_54_7 = e0
% 196.87/31.25 | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.25 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5891) gives:
% 196.87/31.25 | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.25 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 196.87/31.25 | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.25 | | | | | | | | | | | | | | | | | | | | | | | (5892) all_54_7 = e2
% 196.87/31.25 | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.25 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (260), (5892) imply:
% 196.87/31.25 | | | | | | | | | | | | | | | | | | | | | | | (5893) all_52_13 = e2
% 196.87/31.25 | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.25 | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5893) implies:
% 196.87/31.25 | | | | | | | | | | | | | | | | | | | | | | | (5894) all_52_13 = e2
% 196.87/31.25 | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.25 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (117), (5894) imply:
% 196.87/31.25 | | | | | | | | | | | | | | | | | | | | | | | (5895) ~ (all_52_9 = e2)
% 196.87/31.25 | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.25 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5878), (5894) imply:
% 196.87/31.25 | | | | | | | | | | | | | | | | | | | | | | | (5896) ~ (all_40_1 = e2)
% 196.87/31.25 | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.25 | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5896) implies:
% 196.87/31.25 | | | | | | | | | | | | | | | | | | | | | | | (5897) ~ (all_40_1 = e2)
% 196.87/31.25 | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.25 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5883), (5894) imply:
% 196.87/31.25 | | | | | | | | | | | | | | | | | | | | | | | (5898) ~ (e3 = e2)
% 196.87/31.25 | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.25 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (211) gives:
% 196.87/31.25 | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.25 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 196.87/31.25 | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.25 | | | | | | | | | | | | | | | | | | | | | | | | (5899) (all_56_9 = e2 & op(e3, e0) = e2) | (all_56_10 =
% 196.87/31.25 | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2)
% 196.87/31.25 | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.25 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5899) gives:
% 196.87/31.25 | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.25 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 196.87/31.25 | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.25 | | | | | | | | | | | | | | | | | | | | | | | | | (5900) all_56_9 = e2 & op(e3, e0) = e2
% 196.87/31.25 | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.25 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (168), (5136), (5900), (function-axioms) are
% 196.87/31.25 | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1760.
% 196.87/31.25 | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.25 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 196.87/31.25 | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.25 | | | | | | | | | | | | | | | | | | | | | | | | | (5901) all_56_10 = e2 & op(e2, e0) = e2
% 196.87/31.25 | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.25 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5901) implies:
% 196.87/31.25 | | | | | | | | | | | | | | | | | | | | | | | | | (5902) all_56_10 = e2
% 196.87/31.25 | | | | | | | | | | | | | | | | | | | | | | | | | (5903) op(e2, e0) = e2
% 196.87/31.25 | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.25 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (212) gives:
% 196.87/31.25 | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.25 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 196.87/31.25 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.25 | | | | | | | | | | | | | | | | | | | | | | | | | | (5904) (all_56_9 = e3 & op(e3, e0) = e3) | (all_56_10 =
% 196.87/31.25 | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e0) = e3)
% 196.87/31.25 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.25 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5904) gives:
% 196.87/31.25 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.25 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 196.87/31.25 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | (5905) all_56_9 = e3 & op(e3, e0) = e3
% 196.87/31.25 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5905) implies:
% 196.87/31.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | (5906) all_56_9 = e3
% 196.87/31.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | (5907) op(e3, e0) = e3
% 196.87/31.25 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (219) gives:
% 196.87/31.25 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 196.87/31.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5908) (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2
% 196.87/31.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e2)
% 196.87/31.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (169), (5135), (5895), (5908),
% 196.87/31.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 196.87/31.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1043.
% 196.87/31.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 196.87/31.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5909) (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 =
% 196.87/31.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e1) = e2)
% 196.87/31.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5909) gives:
% 196.87/31.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 196.87/31.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5910) all_56_8 = e2 & op(e1, e1) = e2
% 196.87/31.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5910) implies:
% 196.87/31.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5911) op(e1, e1) = e2
% 196.87/31.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (5442), (5911), (function-axioms) are
% 196.87/31.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1919.
% 196.87/31.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 196.87/31.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5912) all_56_14 = e2 & op(e0, e1) = e2
% 196.87/31.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5912) implies:
% 196.87/31.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5913) all_56_14 = e2
% 196.87/31.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5914) op(e0, e1) = e2
% 196.87/31.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (45), (79),
% 196.87/31.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (91), (112), (113), (118), (125), (126), (133),
% 196.87/31.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (157), (158), (159), (160), (162), (163), (164),
% 196.87/31.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (165), (167), (168), (169), (170), (189), (193),
% 196.87/31.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (194), (201), (206), (207), (208), (209), (210),
% 196.87/31.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (211), (212), (213), (214), (215), (216), (217),
% 196.87/31.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (219), (220), (221), (222), (223), (224), (225),
% 196.87/31.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (226), (227), (228), (229), (230), (231), (232),
% 196.87/31.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (234), (235), (236), (238), (239), (246), (270),
% 196.87/31.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (301), (307), (335), (350), (360), (361), (362),
% 196.87/31.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (363), (367), (369), (371), (372), (376), (5131),
% 196.87/31.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5132), (5133), (5134), (5135), (5136), (5144),
% 196.87/31.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5145), (5197), (5198), (5200), (5204), (5214),
% 196.87/31.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5436), (5437), (5438), (5439), (5440), (5441),
% 196.87/31.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5442), (5858), (5866), (5875), (5876), (5877),
% 196.87/31.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5879), (5880), (5883), (5884), (5888), (5895),
% 196.87/31.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5897), (5902), (5903), (5906), (5907), (5913),
% 196.87/31.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5914), (function-axioms) are inconsistent by
% 196.87/31.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #936.
% 196.87/31.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 196.87/31.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 196.87/31.25 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.25 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 196.87/31.25 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | (5915) all_56_10 = e3 & op(e2, e0) = e3
% 196.87/31.25 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5915) implies:
% 196.87/31.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | (5916) op(e2, e0) = e3
% 196.87/31.25 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (5883), (5916), (function-axioms) are
% 196.87/31.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1659.
% 196.87/31.25 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.25 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 196.87/31.25 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.25 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 196.87/31.25 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.25 | | | | | | | | | | | | | | | | | | | | | | | | | | (5917) (all_56_11 = e3 & op(e1, e0) = e3) | (all_56_15 =
% 196.87/31.25 | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = e3)
% 196.87/31.25 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.25 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (160), (5441), (5866), (5917),
% 196.87/31.25 | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 196.87/31.25 | | | | | | | | | | | | | | | | | | | | | | | | | | #1558.
% 196.87/31.25 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.25 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 196.87/31.25 | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.25 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 196.87/31.25 | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.25 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 196.87/31.25 | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.25 | | | | | | | | | | | | | | | | | | | | | | | | (5918) (all_56_11 = e2 & op(e1, e0) = e2) | (all_56_15 =
% 196.87/31.25 | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = e2)
% 196.87/31.25 | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.25 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5918) gives:
% 196.87/31.25 | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.25 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 196.87/31.25 | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.25 | | | | | | | | | | | | | | | | | | | | | | | | | (5919) all_56_11 = e2 & op(e1, e0) = e2
% 196.87/31.25 | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.25 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5919) implies:
% 196.87/31.25 | | | | | | | | | | | | | | | | | | | | | | | | | (5920) all_56_11 = e2
% 196.87/31.25 | | | | | | | | | | | | | | | | | | | | | | | | | (5921) op(e1, e0) = e2
% 196.87/31.25 | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.25 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (212) gives:
% 196.87/31.25 | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.25 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 196.87/31.25 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.25 | | | | | | | | | | | | | | | | | | | | | | | | | | (5922) (all_56_9 = e3 & op(e3, e0) = e3) | (all_56_10 =
% 196.87/31.25 | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e0) = e3)
% 196.87/31.25 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.25 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5922) gives:
% 196.87/31.25 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.25 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 196.87/31.25 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | (5923) all_56_9 = e3 & op(e3, e0) = e3
% 196.87/31.25 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5923) implies:
% 196.87/31.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | (5924) all_56_9 = e3
% 196.87/31.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | (5925) op(e3, e0) = e3
% 196.87/31.25 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (219) gives:
% 196.87/31.25 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 196.87/31.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5926) (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2
% 196.87/31.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e2)
% 196.87/31.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (169), (5135), (5895), (5926),
% 196.87/31.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 196.87/31.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1043.
% 196.87/31.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 196.87/31.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5927) (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 =
% 196.87/31.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e1) = e2)
% 196.87/31.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5927) gives:
% 196.87/31.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 196.87/31.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5928) all_56_8 = e2 & op(e1, e1) = e2
% 196.87/31.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5928) implies:
% 196.87/31.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5929) all_56_8 = e2
% 196.87/31.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5930) op(e1, e1) = e2
% 196.87/31.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (162), (213), (214),
% 196.87/31.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (216), (5437), (5920), (5929), (5930),
% 196.87/31.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 196.87/31.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1715.
% 196.87/31.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 196.87/31.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5931) all_56_14 = e2 & op(e0, e1) = e2
% 196.87/31.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5931) implies:
% 196.87/31.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5932) all_56_14 = e2
% 196.87/31.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5933) op(e0, e1) = e2
% 196.87/31.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (223) gives:
% 196.87/31.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 196.87/31.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5934) (all_56_2 = e2 & op(e2, e3) = e2) | (all_56_3 = e2
% 196.87/31.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e2)
% 196.87/31.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (9), (36), (45), (79), (91), (112),
% 196.87/31.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (113), (118), (125), (126), (133), (157), (158),
% 196.87/31.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (159), (160), (162), (164), (165), (167), (168),
% 196.87/31.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (169), (170), (189), (194), (201), (206), (207),
% 196.87/31.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (208), (209), (211), (212), (217), (222), (223),
% 196.87/31.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (224), (225), (226), (227), (228), (229), (230),
% 196.87/31.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (231), (232), (234), (236), (238), (239), (246),
% 196.87/31.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (270), (301), (307), (335), (350), (360), (361),
% 196.87/31.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (362), (363), (367), (369), (371), (372), (376),
% 196.87/31.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5131), (5134), (5144), (5145), (5884), (5920),
% 196.87/31.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5921), (5932), (5933), (5934), (function-axioms)
% 196.87/31.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #935.
% 196.87/31.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 196.87/31.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5935) (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_10 =
% 196.87/31.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2)
% 196.87/31.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5935) gives:
% 196.87/31.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 196.87/31.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5936) all_56_5 = e2 & op(e2, e1) = e2
% 196.87/31.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5936) implies:
% 196.87/31.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5937) op(e2, e1) = e2
% 196.87/31.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (5895), (5937), (function-axioms) are
% 196.87/31.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1942.
% 196.87/31.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 196.87/31.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5938) all_56_10 = e2 & op(e2, e0) = e2
% 196.87/31.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5938) implies:
% 196.87/31.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5939) all_56_10 = e2
% 196.87/31.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5940) op(e2, e0) = e2
% 196.87/31.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (45), (79),
% 196.87/31.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (91), (112), (113), (118), (125), (126), (133),
% 196.87/31.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (157), (158), (159), (160), (162), (163), (164),
% 196.87/31.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (165), (167), (168), (169), (170), (189), (193),
% 196.87/31.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (194), (201), (206), (207), (208), (209), (210),
% 196.87/31.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (211), (212), (213), (214), (215), (216), (217),
% 196.87/31.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (219), (220), (221), (222), (223), (224), (225),
% 196.87/31.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (226), (227), (228), (229), (230), (231), (232),
% 196.87/31.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (234), (235), (236), (238), (239), (246), (270),
% 196.87/31.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (301), (307), (335), (350), (360), (361), (362),
% 196.87/31.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (363), (367), (369), (371), (372), (376), (5131),
% 196.87/31.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5132), (5133), (5134), (5135), (5136), (5144),
% 196.87/31.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5145), (5197), (5198), (5200), (5204), (5214),
% 196.87/31.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5436), (5437), (5438), (5439), (5440), (5441),
% 196.87/31.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5442), (5858), (5866), (5875), (5876), (5877),
% 196.87/31.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5879), (5880), (5883), (5884), (5888), (5895),
% 196.87/31.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5897), (5924), (5925), (5932), (5933), (5939),
% 196.87/31.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5940), (function-axioms) are inconsistent by
% 196.87/31.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #936.
% 196.87/31.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 196.87/31.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 196.87/31.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 196.87/31.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 196.87/31.26 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.26 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 196.87/31.26 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | (5941) all_56_10 = e3 & op(e2, e0) = e3
% 196.87/31.26 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5941) implies:
% 196.87/31.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | (5942) op(e2, e0) = e3
% 196.87/31.26 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (5883), (5942), (function-axioms) are
% 196.87/31.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1659.
% 196.87/31.26 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.26 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 196.87/31.26 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.26 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 196.87/31.26 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.26 | | | | | | | | | | | | | | | | | | | | | | | | | | (5943) (all_56_11 = e3 & op(e1, e0) = e3) | (all_56_15 =
% 196.87/31.26 | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = e3)
% 196.87/31.26 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.26 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (160), (5441), (5866), (5943),
% 196.87/31.26 | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 196.87/31.26 | | | | | | | | | | | | | | | | | | | | | | | | | | #1558.
% 196.87/31.26 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.26 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 196.87/31.26 | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.26 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 196.87/31.26 | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.26 | | | | | | | | | | | | | | | | | | | | | | | | | (5944) all_56_15 = e2 & op(e0, e0) = e2
% 196.87/31.26 | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.26 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5944) implies:
% 196.87/31.26 | | | | | | | | | | | | | | | | | | | | | | | | | (5945) op(e0, e0) = e2
% 196.87/31.26 | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.26 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (5866), (5945), (function-axioms) are
% 196.87/31.26 | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1843.
% 196.87/31.26 | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.26 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 196.87/31.26 | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.26 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 196.87/31.26 | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.26 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 196.87/31.26 | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.26 | | | | | | | | | | | | | | | | | | | | | | | (5946) all_54_7 = e1 | all_54_7 = e0
% 196.87/31.26 | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.26 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (260), (5200), (5862), (5946) are inconsistent by
% 196.87/31.26 | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1257.
% 196.87/31.26 | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.26 | | | | | | | | | | | | | | | | | | | | | | End of split
% 196.87/31.26 | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.26 | | | | | | | | | | | | | | | | | | | | | End of split
% 196.87/31.26 | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.26 | | | | | | | | | | | | | | | | | | | | End of split
% 196.87/31.26 | | | | | | | | | | | | | | | | | | | |
% 196.87/31.26 | | | | | | | | | | | | | | | | | | | Case 2:
% 196.87/31.26 | | | | | | | | | | | | | | | | | | | |
% 196.87/31.26 | | | | | | | | | | | | | | | | | | | | (5947) (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_12 =
% 196.87/31.26 | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e3) = e3)
% 196.87/31.26 | | | | | | | | | | | | | | | | | | | |
% 196.87/31.26 | | | | | | | | | | | | | | | | | | | | BETA: splitting (5947) gives:
% 196.87/31.26 | | | | | | | | | | | | | | | | | | | |
% 196.87/31.26 | | | | | | | | | | | | | | | | | | | | Case 1:
% 196.87/31.26 | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.26 | | | | | | | | | | | | | | | | | | | | | (5948) all_56_6 = e3 & op(e1, e3) = e3
% 196.87/31.26 | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.26 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (163), (5436), (5948), (function-axioms) are
% 196.87/31.26 | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1396.
% 196.87/31.26 | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.26 | | | | | | | | | | | | | | | | | | | | Case 2:
% 196.87/31.26 | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.26 | | | | | | | | | | | | | | | | | | | | | (5949) all_56_12 = e3 & op(e0, e3) = e3
% 196.87/31.26 | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.26 | | | | | | | | | | | | | | | | | | | | | ALPHA: (5949) implies:
% 196.87/31.26 | | | | | | | | | | | | | | | | | | | | | (5950) all_56_12 = e3
% 196.87/31.26 | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.26 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (197) gives:
% 196.87/31.26 | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.26 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 196.87/31.26 | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.26 | | | | | | | | | | | | | | | | | | | | | | (5951) all_54_7 = e3
% 196.87/31.26 | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.26 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (260), (5883), (5951) are inconsistent by
% 196.87/31.26 | | | | | | | | | | | | | | | | | | | | | | sub-proof #1727.
% 196.87/31.26 | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.26 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 196.87/31.26 | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.26 | | | | | | | | | | | | | | | | | | | | | | (5952) ~ (all_54_7 = e3)
% 196.87/31.26 | | | | | | | | | | | | | | | | | | | | | | (5953) all_54_7 = e2 | all_54_7 = e1 | all_54_7 = e0
% 196.87/31.26 | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.26 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5953) gives:
% 196.87/31.26 | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.26 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 196.87/31.26 | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.26 | | | | | | | | | | | | | | | | | | | | | | | (5954) all_54_7 = e2
% 196.87/31.26 | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.26 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (260), (5954) imply:
% 196.87/31.26 | | | | | | | | | | | | | | | | | | | | | | | (5955) all_52_13 = e2
% 196.87/31.26 | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.26 | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5955) implies:
% 196.87/31.26 | | | | | | | | | | | | | | | | | | | | | | | (5956) all_52_13 = e2
% 196.87/31.26 | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.26 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (117), (5956) imply:
% 196.87/31.26 | | | | | | | | | | | | | | | | | | | | | | | (5957) ~ (all_52_9 = e2)
% 196.87/31.26 | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.26 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5883), (5956) imply:
% 196.87/31.26 | | | | | | | | | | | | | | | | | | | | | | | (5958) ~ (e3 = e2)
% 196.87/31.26 | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.26 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (211) gives:
% 196.87/31.26 | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.26 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 196.87/31.26 | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.26 | | | | | | | | | | | | | | | | | | | | | | | | (5959) (all_56_9 = e2 & op(e3, e0) = e2) | (all_56_10 =
% 196.87/31.26 | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2)
% 196.87/31.26 | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.26 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5959) gives:
% 196.87/31.26 | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.26 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 196.87/31.26 | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.26 | | | | | | | | | | | | | | | | | | | | | | | | | (5960) all_56_9 = e2 & op(e3, e0) = e2
% 196.87/31.26 | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.26 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (168), (5136), (5960), (function-axioms) are
% 196.87/31.26 | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1760.
% 196.87/31.26 | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.26 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 196.87/31.26 | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.26 | | | | | | | | | | | | | | | | | | | | | | | | | (5961) all_56_10 = e2 & op(e2, e0) = e2
% 196.87/31.26 | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.26 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5961) implies:
% 196.87/31.26 | | | | | | | | | | | | | | | | | | | | | | | | | (5962) all_56_10 = e2
% 196.87/31.26 | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.26 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (206) gives:
% 196.87/31.26 | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.26 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 196.87/31.26 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.26 | | | | | | | | | | | | | | | | | | | | | | | | | | (5963) all_56_15 = e0 & op(e0, e0) = e0
% 196.87/31.26 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.26 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5963) implies:
% 196.87/31.26 | | | | | | | | | | | | | | | | | | | | | | | | | | (5964) op(e0, e0) = e0
% 196.87/31.26 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.26 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5866), (5964), (function-axioms) are
% 196.87/31.26 | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1708.
% 196.87/31.26 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.26 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 196.87/31.26 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.26 | | | | | | | | | | | | | | | | | | | | | | | | | | (5965) ((all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 =
% 196.87/31.26 | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_56_11 = e0 &
% 196.87/31.26 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e0)) & ((all_56_12 = e0 & op(e0,
% 196.87/31.26 | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e0) | (all_56_13 = e0 & op(e0, e2) =
% 196.87/31.26 | | | | | | | | | | | | | | | | | | | | | | | | | | e0) | (all_56_14 = e0 & op(e0, e1) = e0))
% 196.87/31.26 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.26 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5965) implies:
% 196.87/31.26 | | | | | | | | | | | | | | | | | | | | | | | | | | (5966) (all_56_12 = e0 & op(e0, e3) = e0) | (all_56_13 =
% 196.87/31.26 | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0) | (all_56_14 = e0 & op(e0,
% 196.87/31.26 | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0)
% 196.87/31.26 | | | | | | | | | | | | | | | | | | | | | | | | | | (5967) (all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 =
% 196.87/31.26 | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_56_11 = e0 & op(e1,
% 196.87/31.26 | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e0)
% 196.87/31.26 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.26 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (45), (157), (158),
% 196.87/31.26 | | | | | | | | | | | | | | | | | | | | | | | | | | (159), (160), (162), (163), (164), (165), (167),
% 196.87/31.26 | | | | | | | | | | | | | | | | | | | | | | | | | | (168), (169), (206), (207), (208), (209), (211),
% 196.87/31.26 | | | | | | | | | | | | | | | | | | | | | | | | | | (212), (213), (214), (215), (216), (217), (219),
% 196.87/31.26 | | | | | | | | | | | | | | | | | | | | | | | | | | (220), (222), (223), (224), (225), (226), (227),
% 196.87/31.26 | | | | | | | | | | | | | | | | | | | | | | | | | | (228), (229), (230), (231), (232), (234), (235),
% 196.87/31.26 | | | | | | | | | | | | | | | | | | | | | | | | | | (236), (239), (371), (376), (5131), (5132),
% 196.87/31.26 | | | | | | | | | | | | | | | | | | | | | | | | | | (5133), (5135), (5136), (5144), (5145), (5197),
% 196.87/31.26 | | | | | | | | | | | | | | | | | | | | | | | | | | (5198), (5200), (5204), (5214), (5436), (5438),
% 196.87/31.26 | | | | | | | | | | | | | | | | | | | | | | | | | | (5439), (5440), (5441), (5442), (5866), (5883),
% 196.87/31.26 | | | | | | | | | | | | | | | | | | | | | | | | | | (5950), (5957), (5962), (5966), (5967),
% 196.87/31.26 | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 196.87/31.26 | | | | | | | | | | | | | | | | | | | | | | | | | | #943.
% 196.87/31.26 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.26 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 196.87/31.26 | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.26 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 196.87/31.26 | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.26 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 196.87/31.26 | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.26 | | | | | | | | | | | | | | | | | | | | | | | | (5968) (all_56_11 = e2 & op(e1, e0) = e2) | (all_56_15 =
% 196.87/31.26 | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = e2)
% 196.87/31.26 | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.26 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5968) gives:
% 196.87/31.26 | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.26 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 196.87/31.26 | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.26 | | | | | | | | | | | | | | | | | | | | | | | | | (5969) all_56_11 = e2 & op(e1, e0) = e2
% 196.87/31.26 | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.26 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5969) implies:
% 196.87/31.26 | | | | | | | | | | | | | | | | | | | | | | | | | (5970) all_56_11 = e2
% 196.87/31.26 | | | | | | | | | | | | | | | | | | | | | | | | | (5971) op(e1, e0) = e2
% 196.87/31.26 | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.26 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (206) gives:
% 196.87/31.26 | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.26 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 196.87/31.26 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.26 | | | | | | | | | | | | | | | | | | | | | | | | | | (5972) all_56_15 = e0 & op(e0, e0) = e0
% 196.87/31.26 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.26 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5972) implies:
% 196.87/31.26 | | | | | | | | | | | | | | | | | | | | | | | | | | (5973) op(e0, e0) = e0
% 196.87/31.26 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.26 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5866), (5973), (function-axioms) are
% 196.87/31.26 | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1708.
% 196.87/31.26 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.26 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 196.87/31.26 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.26 | | | | | | | | | | | | | | | | | | | | | | | | | | (5974) ((all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 =
% 196.87/31.26 | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_56_11 = e0 &
% 196.87/31.26 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e0)) & ((all_56_12 = e0 & op(e0,
% 196.87/31.26 | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e0) | (all_56_13 = e0 & op(e0, e2) =
% 196.87/31.26 | | | | | | | | | | | | | | | | | | | | | | | | | | e0) | (all_56_14 = e0 & op(e0, e1) = e0))
% 196.87/31.26 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.26 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5974) implies:
% 196.87/31.26 | | | | | | | | | | | | | | | | | | | | | | | | | | (5975) (all_56_12 = e0 & op(e0, e3) = e0) | (all_56_13 =
% 196.87/31.26 | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0) | (all_56_14 = e0 & op(e0,
% 196.87/31.26 | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0)
% 196.87/31.26 | | | | | | | | | | | | | | | | | | | | | | | | | | (5976) (all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 =
% 196.87/31.26 | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_56_11 = e0 & op(e1,
% 196.87/31.26 | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e0)
% 196.87/31.26 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.26 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (212) gives:
% 196.87/31.26 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.26 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 196.87/31.26 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | (5977) (all_56_9 = e3 & op(e3, e0) = e3) | (all_56_10 =
% 196.87/31.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e0) = e3)
% 196.87/31.26 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5977) gives:
% 196.87/31.26 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 196.87/31.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5978) all_56_9 = e3 & op(e3, e0) = e3
% 196.87/31.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5978) implies:
% 196.87/31.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5979) all_56_9 = e3
% 196.87/31.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (219) gives:
% 196.87/31.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 196.87/31.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5980) (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2
% 196.87/31.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e2)
% 196.87/31.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (169), (5135), (5957), (5980),
% 196.87/31.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 196.87/31.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1043.
% 196.87/31.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 196.87/31.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5981) (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 =
% 196.87/31.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e1) = e2)
% 196.87/31.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5981) gives:
% 196.87/31.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 196.87/31.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5982) all_56_8 = e2 & op(e1, e1) = e2
% 196.87/31.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5982) implies:
% 196.87/31.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5983) all_56_8 = e2
% 196.87/31.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5984) op(e1, e1) = e2
% 196.87/31.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (162), (213), (214),
% 196.87/31.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (216), (5437), (5970), (5983), (5984),
% 196.87/31.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 196.87/31.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1715.
% 196.87/31.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 196.87/31.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5985) all_56_14 = e2 & op(e0, e1) = e2
% 196.87/31.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5985) implies:
% 196.87/31.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5986) all_56_14 = e2
% 196.87/31.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5987) op(e0, e1) = e2
% 196.87/31.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (223) gives:
% 196.87/31.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 196.87/31.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5988) (all_56_2 = e2 & op(e2, e3) = e2) | (all_56_3 = e2
% 196.87/31.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e2)
% 196.87/31.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (9), (36), (45), (79), (91), (112),
% 196.87/31.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (113), (118), (125), (126), (133), (157), (158),
% 196.87/31.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (159), (160), (162), (164), (165), (167), (168),
% 196.87/31.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (169), (170), (189), (194), (201), (206), (207),
% 196.87/31.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (208), (209), (211), (212), (217), (222), (223),
% 196.87/31.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (224), (225), (226), (227), (228), (229), (230),
% 196.87/31.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (231), (232), (234), (236), (238), (239), (246),
% 196.87/31.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (270), (301), (307), (335), (350), (360), (361),
% 196.87/31.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (362), (363), (367), (369), (371), (372), (376),
% 196.87/31.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5131), (5134), (5144), (5145), (5884), (5970),
% 196.87/31.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5971), (5986), (5987), (5988), (function-axioms)
% 196.87/31.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #935.
% 196.87/31.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 196.87/31.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5989) (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_10 =
% 196.87/31.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2)
% 196.87/31.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5989) gives:
% 196.87/31.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 196.87/31.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5990) all_56_5 = e2 & op(e2, e1) = e2
% 196.87/31.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5990) implies:
% 196.87/31.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5991) op(e2, e1) = e2
% 196.87/31.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (5957), (5991), (function-axioms) are
% 196.87/31.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1942.
% 196.87/31.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 196.87/31.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5992) all_56_10 = e2 & op(e2, e0) = e2
% 196.87/31.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5992) implies:
% 196.87/31.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5993) all_56_10 = e2
% 196.87/31.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (45), (157), (158),
% 196.87/31.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (159), (160), (162), (163), (164), (165), (167),
% 196.87/31.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (168), (169), (206), (208), (209), (211), (212),
% 196.87/31.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (213), (214), (215), (216), (217), (219), (220),
% 196.87/31.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (222), (223), (224), (225), (226), (227), (228),
% 196.87/31.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (229), (230), (231), (232), (234), (235), (236),
% 196.87/31.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (239), (371), (376), (5131), (5132), (5133),
% 196.87/31.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5136), (5144), (5145), (5197), (5198), (5200),
% 196.87/31.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5204), (5214), (5436), (5438), (5439), (5440),
% 196.87/31.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5442), (5866), (5883), (5950), (5975), (5976),
% 196.87/31.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5979), (5986), (5987), (5993), (function-axioms)
% 196.87/31.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #944.
% 196.87/31.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 196.87/31.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 196.87/31.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 196.87/31.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 196.87/31.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 196.87/31.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5994) all_56_10 = e3 & op(e2, e0) = e3
% 196.87/31.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5994) implies:
% 196.87/31.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5995) all_56_10 = e3
% 196.87/31.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (45), (157), (158),
% 196.87/31.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (159), (162), (163), (164), (167), (168), (169),
% 196.87/31.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (206), (208), (209), (211), (212), (213), (216),
% 196.87/31.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (220), (222), (223), (224), (225), (226), (227),
% 196.87/31.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (228), (230), (232), (234), (235), (236), (239),
% 196.87/31.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (376), (5131), (5133), (5136), (5144), (5145),
% 196.87/31.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5197), (5198), (5200), (5204), (5436), (5438),
% 196.87/31.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5440), (5866), (5950), (5975), (5976), (5995),
% 196.87/31.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 196.87/31.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | #947.
% 196.87/31.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 196.87/31.26 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.26 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 196.87/31.26 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | (5996) (all_56_11 = e3 & op(e1, e0) = e3) | (all_56_15 =
% 196.87/31.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = e3)
% 196.87/31.26 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (160), (206), (207),
% 196.87/31.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | (208), (5441), (5950), (5996), (function-axioms)
% 196.87/31.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1441.
% 196.87/31.26 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.26 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 196.87/31.26 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.26 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 196.87/31.26 | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.26 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 196.87/31.26 | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.26 | | | | | | | | | | | | | | | | | | | | | | | | | (5997) all_56_15 = e2 & op(e0, e0) = e2
% 196.87/31.26 | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.26 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5997) implies:
% 196.87/31.26 | | | | | | | | | | | | | | | | | | | | | | | | | (5998) op(e0, e0) = e2
% 196.87/31.26 | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.26 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (5866), (5998), (function-axioms) are
% 196.87/31.26 | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1843.
% 196.87/31.26 | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.26 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 196.87/31.26 | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.26 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 196.87/31.26 | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.26 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 196.87/31.26 | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.26 | | | | | | | | | | | | | | | | | | | | | | | (5999) all_54_7 = e1 | all_54_7 = e0
% 196.87/31.26 | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.26 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (260), (5200), (5862), (5999) are inconsistent by
% 196.87/31.26 | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1257.
% 196.87/31.26 | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.26 | | | | | | | | | | | | | | | | | | | | | | End of split
% 196.87/31.26 | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.26 | | | | | | | | | | | | | | | | | | | | | End of split
% 196.87/31.26 | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.26 | | | | | | | | | | | | | | | | | | | | End of split
% 196.87/31.26 | | | | | | | | | | | | | | | | | | | |
% 196.87/31.26 | | | | | | | | | | | | | | | | | | | End of split
% 196.87/31.26 | | | | | | | | | | | | | | | | | | |
% 196.87/31.26 | | | | | | | | | | | | | | | | | | Case 2:
% 196.87/31.26 | | | | | | | | | | | | | | | | | | |
% 196.87/31.26 | | | | | | | | | | | | | | | | | | | (6000) ~ (all_54_4 = e3)
% 196.87/31.26 | | | | | | | | | | | | | | | | | | |
% 196.87/31.26 | | | | | | | | | | | | | | | | | | | REDUCE: (5150), (6000) imply:
% 196.87/31.26 | | | | | | | | | | | | | | | | | | | (6001) ~ (all_14_1 = e3)
% 196.87/31.26 | | | | | | | | | | | | | | | | | | |
% 196.87/31.26 | | | | | | | | | | | | | | | | | | | BETA: splitting (235) gives:
% 196.87/31.26 | | | | | | | | | | | | | | | | | | |
% 196.87/31.26 | | | | | | | | | | | | | | | | | | | Case 1:
% 196.87/31.26 | | | | | | | | | | | | | | | | | | | |
% 196.87/31.26 | | | | | | | | | | | | | | | | | | | | (6002) (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_2 = e3
% 196.87/31.26 | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e3)
% 196.87/31.26 | | | | | | | | | | | | | | | | | | | |
% 196.87/31.26 | | | | | | | | | | | | | | | | | | | | BETA: splitting (6002) gives:
% 196.87/31.26 | | | | | | | | | | | | | | | | | | | |
% 196.87/31.26 | | | | | | | | | | | | | | | | | | | | Case 1:
% 196.87/31.26 | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.26 | | | | | | | | | | | | | | | | | | | | | (6003) all_56_0 = e3 & op(e3, e3) = e3
% 196.87/31.26 | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.26 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (5144), (6003) are inconsistent by sub-proof
% 196.87/31.26 | | | | | | | | | | | | | | | | | | | | | #1645.
% 196.87/31.26 | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.26 | | | | | | | | | | | | | | | | | | | | Case 2:
% 196.87/31.26 | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.26 | | | | | | | | | | | | | | | | | | | | | (6004) all_56_2 = e3 & op(e2, e3) = e3
% 196.87/31.26 | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.26 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5128), (6001), (6004), (function-axioms) are
% 196.87/31.26 | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #934.
% 196.87/31.26 | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.26 | | | | | | | | | | | | | | | | | | | | End of split
% 196.87/31.26 | | | | | | | | | | | | | | | | | | | |
% 196.87/31.26 | | | | | | | | | | | | | | | | | | | Case 2:
% 196.87/31.26 | | | | | | | | | | | | | | | | | | | |
% 196.87/31.26 | | | | | | | | | | | | | | | | | | | | (6005) (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_12 =
% 196.87/31.26 | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e3) = e3)
% 196.87/31.26 | | | | | | | | | | | | | | | | | | | |
% 196.87/31.26 | | | | | | | | | | | | | | | | | | | | BETA: splitting (6005) gives:
% 196.87/31.26 | | | | | | | | | | | | | | | | | | | |
% 196.87/31.26 | | | | | | | | | | | | | | | | | | | | Case 1:
% 196.87/31.26 | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.26 | | | | | | | | | | | | | | | | | | | | | (6006) all_56_6 = e3 & op(e1, e3) = e3
% 196.87/31.26 | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.26 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (163), (5436), (6006), (function-axioms) are
% 196.87/31.26 | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1396.
% 196.87/31.26 | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.26 | | | | | | | | | | | | | | | | | | | | Case 2:
% 196.87/31.26 | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.26 | | | | | | | | | | | | | | | | | | | | | (6007) all_56_12 = e3 & op(e0, e3) = e3
% 196.87/31.26 | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.26 | | | | | | | | | | | | | | | | | | | | | ALPHA: (6007) implies:
% 196.87/31.26 | | | | | | | | | | | | | | | | | | | | | (6008) all_56_12 = e3
% 196.87/31.26 | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.26 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (206) gives:
% 196.87/31.26 | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.26 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 196.87/31.26 | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.26 | | | | | | | | | | | | | | | | | | | | | | (6009) all_56_15 = e0 & op(e0, e0) = e0
% 196.87/31.26 | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.26 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6009) implies:
% 196.87/31.26 | | | | | | | | | | | | | | | | | | | | | | (6010) op(e0, e0) = e0
% 196.87/31.26 | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.26 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5866), (6010), (function-axioms) are
% 196.87/31.26 | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1708.
% 196.87/31.26 | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.26 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 196.87/31.26 | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.26 | | | | | | | | | | | | | | | | | | | | | | (6011) ((all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 =
% 196.87/31.26 | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_56_11 = e0 &
% 196.87/31.26 | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e0)) & ((all_56_12 = e0 & op(e0,
% 196.87/31.26 | | | | | | | | | | | | | | | | | | | | | | e3) = e0) | (all_56_13 = e0 & op(e0, e2) =
% 196.87/31.26 | | | | | | | | | | | | | | | | | | | | | | e0) | (all_56_14 = e0 & op(e0, e1) = e0))
% 196.87/31.26 | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.26 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6011) implies:
% 196.87/31.27 | | | | | | | | | | | | | | | | | | | | | | (6012) (all_56_12 = e0 & op(e0, e3) = e0) | (all_56_13 =
% 196.87/31.27 | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0) | (all_56_14 = e0 & op(e0,
% 196.87/31.27 | | | | | | | | | | | | | | | | | | | | | | e1) = e0)
% 196.87/31.27 | | | | | | | | | | | | | | | | | | | | | | (6013) (all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 =
% 196.87/31.27 | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_56_11 = e0 & op(e1,
% 196.87/31.27 | | | | | | | | | | | | | | | | | | | | | | e0) = e0)
% 196.87/31.27 | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.27 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (224) gives:
% 196.87/31.27 | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.27 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 196.87/31.27 | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.27 | | | | | | | | | | | | | | | | | | | | | | | (6014) (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3
% 196.87/31.27 | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e3)
% 196.87/31.27 | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.27 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (5128), (5204), (6001), (6014),
% 196.87/31.27 | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 196.87/31.27 | | | | | | | | | | | | | | | | | | | | | | | #933.
% 196.87/31.27 | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.27 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 196.87/31.27 | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.27 | | | | | | | | | | | | | | | | | | | | | | | (6015) (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 =
% 196.87/31.27 | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e0) = e3)
% 196.87/31.27 | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.27 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6015) gives:
% 196.87/31.27 | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.27 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 196.87/31.27 | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.27 | | | | | | | | | | | | | | | | | | | | | | | | (6016) all_56_5 = e3 & op(e2, e1) = e3
% 196.87/31.27 | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.27 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6016) implies:
% 196.87/31.27 | | | | | | | | | | | | | | | | | | | | | | | | (6017) op(e2, e1) = e3
% 196.87/31.27 | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.27 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (5439), (6017), (function-axioms) are
% 196.87/31.27 | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1861.
% 196.87/31.27 | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.27 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 196.87/31.27 | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.27 | | | | | | | | | | | | | | | | | | | | | | | | (6018) all_56_10 = e3 & op(e2, e0) = e3
% 196.87/31.27 | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.27 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6018) implies:
% 196.87/31.27 | | | | | | | | | | | | | | | | | | | | | | | | (6019) all_56_10 = e3
% 196.87/31.27 | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.27 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (45), (157), (158),
% 196.87/31.27 | | | | | | | | | | | | | | | | | | | | | | | | (159), (162), (163), (164), (167), (168), (169),
% 196.87/31.27 | | | | | | | | | | | | | | | | | | | | | | | | (206), (208), (209), (211), (212), (213), (216),
% 196.87/31.27 | | | | | | | | | | | | | | | | | | | | | | | | (220), (222), (223), (224), (225), (226), (227),
% 196.87/31.27 | | | | | | | | | | | | | | | | | | | | | | | | (228), (230), (232), (234), (235), (236), (239),
% 196.87/31.27 | | | | | | | | | | | | | | | | | | | | | | | | (376), (5131), (5133), (5136), (5144), (5145),
% 196.87/31.27 | | | | | | | | | | | | | | | | | | | | | | | | (5197), (5198), (5200), (5204), (5436), (5438),
% 196.87/31.27 | | | | | | | | | | | | | | | | | | | | | | | | (5440), (5866), (6008), (6012), (6013), (6019),
% 196.87/31.27 | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 196.87/31.27 | | | | | | | | | | | | | | | | | | | | | | | | #947.
% 196.87/31.27 | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.27 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 196.87/31.27 | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.27 | | | | | | | | | | | | | | | | | | | | | | End of split
% 196.87/31.27 | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.27 | | | | | | | | | | | | | | | | | | | | | End of split
% 196.87/31.27 | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.27 | | | | | | | | | | | | | | | | | | | | End of split
% 196.87/31.27 | | | | | | | | | | | | | | | | | | | |
% 196.87/31.27 | | | | | | | | | | | | | | | | | | | End of split
% 196.87/31.27 | | | | | | | | | | | | | | | | | | |
% 196.87/31.27 | | | | | | | | | | | | | | | | | | End of split
% 196.87/31.27 | | | | | | | | | | | | | | | | | |
% 196.87/31.27 | | | | | | | | | | | | | | | | | End of split
% 196.87/31.27 | | | | | | | | | | | | | | | | |
% 196.87/31.27 | | | | | | | | | | | | | | | | End of split
% 196.87/31.27 | | | | | | | | | | | | | | | |
% 196.87/31.27 | | | | | | | | | | | | | | | End of split
% 196.87/31.27 | | | | | | | | | | | | | | |
% 196.87/31.27 | | | | | | | | | | | | | | Case 2:
% 196.87/31.27 | | | | | | | | | | | | | | |
% 196.87/31.27 | | | | | | | | | | | | | | | (6020) all_30_2 = e2
% 196.87/31.27 | | | | | | | | | | | | | | | (6021) op(e2, e0) = all_30_1 & $i(all_30_1) & ( ~
% 196.87/31.27 | | | | | | | | | | | | | | | (all_30_1 = e3) | ( ~ (all_30_0 = e1) & op(e3,
% 196.87/31.27 | | | | | | | | | | | | | | | e2) = all_30_0 & $i(all_30_0)))
% 196.87/31.27 | | | | | | | | | | | | | | |
% 196.87/31.27 | | | | | | | | | | | | | | | ALPHA: (6021) implies:
% 196.87/31.27 | | | | | | | | | | | | | | | (6022) op(e2, e0) = all_30_1
% 196.87/31.27 | | | | | | | | | | | | | | |
% 196.87/31.27 | | | | | | | | | | | | | | | COMBINE_EQS: (309), (6020) imply:
% 196.87/31.27 | | | | | | | | | | | | | | | (6023) all_10_2 = e2
% 196.87/31.27 | | | | | | | | | | | | | | |
% 196.87/31.27 | | | | | | | | | | | | | | | SIMP: (6023) implies:
% 196.87/31.27 | | | | | | | | | | | | | | | (6024) all_10_2 = e2
% 196.87/31.27 | | | | | | | | | | | | | | |
% 196.87/31.27 | | | | | | | | | | | | | | | COMBINE_EQS: (303), (6024) imply:
% 196.87/31.27 | | | | | | | | | | | | | | | (6025) all_42_2 = e2
% 196.87/31.27 | | | | | | | | | | | | | | |
% 196.87/31.27 | | | | | | | | | | | | | | | REDUCE: (370), (6024) imply:
% 196.87/31.27 | | | | | | | | | | | | | | | (6026) ~ (all_52_13 = e2)
% 196.87/31.27 | | | | | | | | | | | | | | |
% 196.87/31.27 | | | | | | | | | | | | | | | REDUCE: (371), (6024) imply:
% 196.87/31.27 | | | | | | | | | | | | | | | (6027) ~ (all_52_14 = e2)
% 196.87/31.27 | | | | | | | | | | | | | | |
% 196.87/31.27 | | | | | | | | | | | | | | | REDUCE: (45), (6024) imply:
% 196.87/31.27 | | | | | | | | | | | | | | | (6028) op(e0, e0) = e2
% 196.87/31.27 | | | | | | | | | | | | | | |
% 196.87/31.27 | | | | | | | | | | | | | | | BETA: splitting (223) gives:
% 196.87/31.27 | | | | | | | | | | | | | | |
% 196.87/31.27 | | | | | | | | | | | | | | | Case 1:
% 196.87/31.27 | | | | | | | | | | | | | | | |
% 196.87/31.27 | | | | | | | | | | | | | | | | (6029) (all_56_2 = e2 & op(e2, e3) = e2) | (all_56_3 = e2
% 196.87/31.27 | | | | | | | | | | | | | | | | & op(e2, e2) = e2)
% 196.87/31.27 | | | | | | | | | | | | | | | |
% 196.87/31.27 | | | | | | | | | | | | | | | | REF_CLOSE: (5), (167), (5131), (5204), (6029),
% 196.87/31.27 | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 196.87/31.27 | | | | | | | | | | | | | | | | #997.
% 196.87/31.27 | | | | | | | | | | | | | | | |
% 196.87/31.27 | | | | | | | | | | | | | | | Case 2:
% 196.87/31.27 | | | | | | | | | | | | | | | |
% 196.87/31.27 | | | | | | | | | | | | | | | | (6030) (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_10 =
% 196.87/31.27 | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2)
% 196.87/31.27 | | | | | | | | | | | | | | | |
% 196.87/31.27 | | | | | | | | | | | | | | | | BETA: splitting (6030) gives:
% 196.87/31.27 | | | | | | | | | | | | | | | |
% 196.87/31.27 | | | | | | | | | | | | | | | | Case 1:
% 196.87/31.27 | | | | | | | | | | | | | | | | |
% 196.87/31.27 | | | | | | | | | | | | | | | | | (6031) all_56_5 = e2 & op(e2, e1) = e2
% 196.87/31.27 | | | | | | | | | | | | | | | | |
% 196.87/31.27 | | | | | | | | | | | | | | | | | ALPHA: (6031) implies:
% 196.87/31.27 | | | | | | | | | | | | | | | | | (6032) all_56_5 = e2
% 196.87/31.27 | | | | | | | | | | | | | | | | | (6033) op(e2, e1) = e2
% 196.87/31.27 | | | | | | | | | | | | | | | | |
% 196.87/31.27 | | | | | | | | | | | | | | | | | BETA: splitting (215) gives:
% 196.87/31.27 | | | | | | | | | | | | | | | | |
% 196.87/31.27 | | | | | | | | | | | | | | | | | Case 1:
% 196.87/31.27 | | | | | | | | | | | | | | | | | |
% 196.87/31.27 | | | | | | | | | | | | | | | | | | (6034) (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_7 = e2
% 196.87/31.27 | | | | | | | | | | | | | | | | | | & op(e1, e2) = e2)
% 196.87/31.27 | | | | | | | | | | | | | | | | | |
% 196.87/31.27 | | | | | | | | | | | | | | | | | | BETA: splitting (6034) gives:
% 196.87/31.27 | | | | | | | | | | | | | | | | | |
% 196.87/31.27 | | | | | | | | | | | | | | | | | | Case 1:
% 196.87/31.27 | | | | | | | | | | | | | | | | | | |
% 196.87/31.27 | | | | | | | | | | | | | | | | | | | (6035) all_56_6 = e2 & op(e1, e3) = e2
% 196.87/31.27 | | | | | | | | | | | | | | | | | | |
% 196.87/31.27 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (163), (5132), (6035), (function-axioms) are
% 196.87/31.27 | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1306.
% 196.87/31.27 | | | | | | | | | | | | | | | | | | |
% 196.87/31.27 | | | | | | | | | | | | | | | | | | Case 2:
% 196.87/31.27 | | | | | | | | | | | | | | | | | | |
% 196.87/31.27 | | | | | | | | | | | | | | | | | | | (6036) all_56_7 = e2 & op(e1, e2) = e2
% 196.87/31.27 | | | | | | | | | | | | | | | | | | |
% 196.87/31.27 | | | | | | | | | | | | | | | | | | | ALPHA: (6036) implies:
% 196.87/31.27 | | | | | | | | | | | | | | | | | | | (6037) all_56_7 = e2
% 196.87/31.27 | | | | | | | | | | | | | | | | | | | (6038) op(e1, e2) = e2
% 196.87/31.27 | | | | | | | | | | | | | | | | | | |
% 196.87/31.27 | | | | | | | | | | | | | | | | | | | BETA: splitting (94) gives:
% 196.87/31.27 | | | | | | | | | | | | | | | | | | |
% 196.87/31.27 | | | | | | | | | | | | | | | | | | | Case 1:
% 196.87/31.27 | | | | | | | | | | | | | | | | | | | |
% 196.87/31.27 | | | | | | | | | | | | | | | | | | | | (6039) ~ (all_42_2 = e2)
% 196.87/31.27 | | | | | | | | | | | | | | | | | | | |
% 196.87/31.27 | | | | | | | | | | | | | | | | | | | | REDUCE: (6025), (6039) imply:
% 196.87/31.27 | | | | | | | | | | | | | | | | | | | | (6040) $false
% 196.87/31.27 | | | | | | | | | | | | | | | | | | | |
% 196.87/31.27 | | | | | | | | | | | | | | | | | | | | CLOSE: (6040) is inconsistent.
% 196.87/31.27 | | | | | | | | | | | | | | | | | | | |
% 196.87/31.27 | | | | | | | | | | | | | | | | | | | Case 2:
% 196.87/31.27 | | | | | | | | | | | | | | | | | | | |
% 196.87/31.27 | | | | | | | | | | | | | | | | | | | | (6041) op(e2, e0) = all_42_1 & $i(all_42_1) & ( ~
% 196.87/31.27 | | | | | | | | | | | | | | | | | | | | (all_42_1 = e1) | ( ~ (all_42_0 = e3) & op(e1,
% 196.87/31.27 | | | | | | | | | | | | | | | | | | | | e2) = all_42_0 & $i(all_42_0)))
% 196.87/31.27 | | | | | | | | | | | | | | | | | | | |
% 196.87/31.27 | | | | | | | | | | | | | | | | | | | | ALPHA: (6041) implies:
% 196.87/31.27 | | | | | | | | | | | | | | | | | | | | (6042) op(e2, e0) = all_42_1
% 196.87/31.27 | | | | | | | | | | | | | | | | | | | |
% 196.87/31.27 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_6, e2,
% 196.87/31.27 | | | | | | | | | | | | | | | | | | | | e2, e1, simplifying with (162), (6038) gives:
% 196.87/31.27 | | | | | | | | | | | | | | | | | | | | (6043) all_52_6 = e2
% 196.87/31.27 | | | | | | | | | | | | | | | | | | | |
% 196.87/31.27 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_13,
% 196.87/31.27 | | | | | | | | | | | | | | | | | | | | all_30_1, e0, e2, simplifying with (164), (6022)
% 196.87/31.27 | | | | | | | | | | | | | | | | | | | | gives:
% 196.87/31.27 | | | | | | | | | | | | | | | | | | | | (6044) all_52_13 = all_30_1
% 196.87/31.27 | | | | | | | | | | | | | | | | | | | |
% 196.87/31.27 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_13,
% 196.87/31.27 | | | | | | | | | | | | | | | | | | | | all_42_1, e0, e2, simplifying with (164), (6042)
% 196.87/31.27 | | | | | | | | | | | | | | | | | | | | gives:
% 196.87/31.27 | | | | | | | | | | | | | | | | | | | | (6045) all_52_13 = all_42_1
% 196.87/31.27 | | | | | | | | | | | | | | | | | | | |
% 196.87/31.27 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_9, e2,
% 196.87/31.27 | | | | | | | | | | | | | | | | | | | | e1, e2, simplifying with (165), (6033) gives:
% 196.87/31.27 | | | | | | | | | | | | | | | | | | | | (6046) all_52_9 = e2
% 196.87/31.27 | | | | | | | | | | | | | | | | | | | |
% 196.87/31.27 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (6044), (6045) imply:
% 196.87/31.27 | | | | | | | | | | | | | | | | | | | | (6047) all_42_1 = all_30_1
% 196.87/31.27 | | | | | | | | | | | | | | | | | | | |
% 196.87/31.27 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (260), (6044) imply:
% 196.87/31.27 | | | | | | | | | | | | | | | | | | | | (6048) all_54_7 = all_30_1
% 196.87/31.27 | | | | | | | | | | | | | | | | | | | |
% 196.87/31.27 | | | | | | | | | | | | | | | | | | | | REDUCE: (126), (6043) imply:
% 196.87/31.27 | | | | | | | | | | | | | | | | | | | | (6049) ~ (all_52_14 = e2)
% 196.87/31.27 | | | | | | | | | | | | | | | | | | | |
% 196.87/31.27 | | | | | | | | | | | | | | | | | | | | REDUCE: (5222), (6043) imply:
% 196.87/31.27 | | | | | | | | | | | | | | | | | | | | (6050) ~ (all_20_1 = e2)
% 196.87/31.27 | | | | | | | | | | | | | | | | | | | |
% 196.87/31.27 | | | | | | | | | | | | | | | | | | | | SIMP: (6050) implies:
% 196.87/31.27 | | | | | | | | | | | | | | | | | | | | (6051) ~ (all_20_1 = e2)
% 196.87/31.27 | | | | | | | | | | | | | | | | | | | |
% 196.87/31.27 | | | | | | | | | | | | | | | | | | | | REDUCE: (118), (6046) imply:
% 196.87/31.27 | | | | | | | | | | | | | | | | | | | | (6052) ~ (all_52_11 = e2)
% 196.87/31.27 | | | | | | | | | | | | | | | | | | | |
% 196.87/31.27 | | | | | | | | | | | | | | | | | | | | SIMP: (6052) implies:
% 196.87/31.27 | | | | | | | | | | | | | | | | | | | | (6053) ~ (all_52_11 = e2)
% 196.87/31.27 | | | | | | | | | | | | | | | | | | | |
% 196.87/31.27 | | | | | | | | | | | | | | | | | | | | REDUCE: (5156), (6046) imply:
% 196.87/31.27 | | | | | | | | | | | | | | | | | | | | (6054) ~ (all_14_1 = e2)
% 196.87/31.27 | | | | | | | | | | | | | | | | | | | |
% 196.87/31.27 | | | | | | | | | | | | | | | | | | | | REDUCE: (363), (6046) imply:
% 196.87/31.27 | | | | | | | | | | | | | | | | | | | | (6055) ~ (all_4_2 = e2)
% 196.87/31.27 | | | | | | | | | | | | | | | | | | | |
% 196.87/31.27 | | | | | | | | | | | | | | | | | | | | REDUCE: (113), (6044) imply:
% 196.87/31.27 | | | | | | | | | | | | | | | | | | | | (6056) ~ (all_52_12 = all_30_1)
% 196.87/31.27 | | | | | | | | | | | | | | | | | | | |
% 196.87/31.27 | | | | | | | | | | | | | | | | | | | | REDUCE: (110), (6044) imply:
% 196.87/31.27 | | | | | | | | | | | | | | | | | | | | (6057) ~ (all_52_14 = all_30_1)
% 196.87/31.27 | | | | | | | | | | | | | | | | | | | |
% 196.87/31.27 | | | | | | | | | | | | | | | | | | | | SIMP: (6057) implies:
% 196.87/31.27 | | | | | | | | | | | | | | | | | | | | (6058) ~ (all_52_14 = all_30_1)
% 196.87/31.27 | | | | | | | | | | | | | | | | | | | |
% 196.87/31.27 | | | | | | | | | | | | | | | | | | | | REDUCE: (5158), (6044) imply:
% 196.87/31.27 | | | | | | | | | | | | | | | | | | | | (6059) ~ (all_30_1 = all_14_1)
% 196.87/31.27 | | | | | | | | | | | | | | | | | | | |
% 196.87/31.27 | | | | | | | | | | | | | | | | | | | | REDUCE: (6026), (6044) imply:
% 196.87/31.27 | | | | | | | | | | | | | | | | | | | | (6060) ~ (all_30_1 = e2)
% 196.87/31.27 | | | | | | | | | | | | | | | | | | | |
% 196.87/31.27 | | | | | | | | | | | | | | | | | | | | REDUCE: (5200), (6044) imply:
% 196.87/31.27 | | | | | | | | | | | | | | | | | | | | (6061) ~ (all_30_1 = e0)
% 196.87/31.27 | | | | | | | | | | | | | | | | | | | |
% 196.87/31.27 | | | | | | | | | | | | | | | | | | | | BETA: splitting (79) gives:
% 196.87/31.27 | | | | | | | | | | | | | | | | | | | |
% 196.87/31.27 | | | | | | | | | | | | | | | | | | | | Case 1:
% 196.87/31.27 | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.27 | | | | | | | | | | | | | | | | | | | | | (6062) ~ (all_32_2 = e3)
% 196.87/31.27 | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.27 | | | | | | | | | | | | | | | | | | | | | REDUCE: (301), (6062) imply:
% 196.87/31.27 | | | | | | | | | | | | | | | | | | | | | (6063) ~ (all_4_2 = e3)
% 196.87/31.27 | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.27 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (194) gives:
% 196.87/31.27 | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.27 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 196.87/31.27 | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.27 | | | | | | | | | | | | | | | | | | | | | | (6064) all_54_10 = e3
% 196.87/31.27 | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.27 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (335), (6063), (6064) are inconsistent by
% 196.87/31.27 | | | | | | | | | | | | | | | | | | | | | | sub-proof #1974.
% 196.87/31.27 | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.27 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 196.87/31.27 | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.27 | | | | | | | | | | | | | | | | | | | | | | (6065) ~ (all_54_10 = e3)
% 196.87/31.27 | | | | | | | | | | | | | | | | | | | | | | (6066) all_54_10 = e2 | all_54_10 = e1 | all_54_10 = e0
% 196.87/31.27 | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.27 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6066) gives:
% 196.87/31.27 | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.27 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 196.87/31.27 | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.27 | | | | | | | | | | | | | | | | | | | | | | | (6067) all_54_10 = e2
% 196.87/31.27 | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.27 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (335), (375), (6067) are inconsistent by sub-proof
% 196.87/31.27 | | | | | | | | | | | | | | | | | | | | | | | #1973.
% 196.87/31.27 | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.27 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 196.87/31.27 | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.27 | | | | | | | | | | | | | | | | | | | | | | | (6068) ~ (all_54_10 = e2)
% 196.87/31.27 | | | | | | | | | | | | | | | | | | | | | | | (6069) all_54_10 = e1 | all_54_10 = e0
% 196.87/31.27 | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.27 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6069) gives:
% 196.87/31.27 | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.27 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 196.87/31.27 | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.27 | | | | | | | | | | | | | | | | | | | | | | | | (6070) all_54_10 = e1
% 196.87/31.27 | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.27 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (335), (6070) imply:
% 196.87/31.27 | | | | | | | | | | | | | | | | | | | | | | | | (6071) all_4_2 = e1
% 196.87/31.27 | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.27 | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6071) implies:
% 196.87/31.27 | | | | | | | | | | | | | | | | | | | | | | | | (6072) all_4_2 = e1
% 196.87/31.27 | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.27 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (349), (6072) imply:
% 196.87/31.27 | | | | | | | | | | | | | | | | | | | | | | | | (6073) ~ (all_52_2 = e1)
% 196.87/31.27 | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.27 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (367), (6072) imply:
% 196.87/31.27 | | | | | | | | | | | | | | | | | | | | | | | | (6074) ~ (all_52_14 = e1)
% 196.87/31.27 | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.27 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6063), (6072) imply:
% 196.87/31.27 | | | | | | | | | | | | | | | | | | | | | | | | (6075) ~ (e3 = e1)
% 196.87/31.27 | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.27 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (375), (6072) imply:
% 196.87/31.27 | | | | | | | | | | | | | | | | | | | | | | | | (6076) ~ (e2 = e1)
% 196.87/31.27 | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.27 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (36), (6072) imply:
% 196.87/31.27 | | | | | | | | | | | | | | | | | | | | | | | | (6077) op(e1, e1) = e1
% 196.87/31.27 | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.27 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (197) gives:
% 196.87/31.27 | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.27 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 196.87/31.27 | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.27 | | | | | | | | | | | | | | | | | | | | | | | | | (6078) all_54_7 = e3
% 196.87/31.27 | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.27 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (6048), (6078) imply:
% 196.87/31.27 | | | | | | | | | | | | | | | | | | | | | | | | | (6079) all_30_1 = e3
% 196.87/31.27 | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.27 | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6079) implies:
% 196.87/31.27 | | | | | | | | | | | | | | | | | | | | | | | | | (6080) all_30_1 = e3
% 196.87/31.27 | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.27 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6056), (6080) imply:
% 196.87/31.27 | | | | | | | | | | | | | | | | | | | | | | | | | (6081) ~ (all_52_12 = e3)
% 196.87/31.27 | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.27 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6058), (6080) imply:
% 196.87/31.27 | | | | | | | | | | | | | | | | | | | | | | | | | (6082) ~ (all_52_14 = e3)
% 196.87/31.27 | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.27 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6059), (6080) imply:
% 196.87/31.27 | | | | | | | | | | | | | | | | | | | | | | | | | (6083) ~ (all_14_1 = e3)
% 196.87/31.27 | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.27 | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6083) implies:
% 196.87/31.27 | | | | | | | | | | | | | | | | | | | | | | | | | (6084) ~ (all_14_1 = e3)
% 196.87/31.27 | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.27 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (238) gives:
% 196.87/31.27 | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.27 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 196.87/31.27 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.27 | | | | | | | | | | | | | | | | | | | | | | | | | | (6085) (all_57_3 = e3 & ~ (all_57_1 = e2) & ~ (all_57_8
% 196.87/31.27 | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_10 = e2) & ~ (all_57_12 =
% 196.87/31.27 | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_14 = e0) & op(e3, e3) =
% 196.87/31.27 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e2) = e3 & op(e2, all_57_9) =
% 196.87/31.27 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_8 & op(e2, all_57_11) = all_57_10 &
% 196.87/31.27 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_13) = all_57_12 & op(e2,
% 196.87/31.27 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15) = all_57_14 & op(e2, e3) = all_57_9
% 196.87/31.27 | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = all_57_11 & op(e2, e1) =
% 196.87/31.27 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_13 & op(e2, e0) = all_57_15 &
% 196.87/31.27 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_8) & $i(all_57_9) &
% 196.87/31.27 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & $i(all_57_11) & $i(all_57_12) &
% 196.87/31.27 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13) & $i(all_57_14) & $i(all_57_15)) |
% 196.87/31.27 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_5 = e3 & ~ (all_57_1 = e1) & ~
% 196.87/31.27 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_16 = e3) & ~ (all_57_18 = e2) & ~
% 196.87/31.27 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_22 = e0) & op(e3,
% 196.87/31.27 | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_1 & op(e3, e1) = e3 & op(e1,
% 196.87/31.27 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17) = all_57_16 & op(e1, all_57_19) =
% 196.87/31.27 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_18 & op(e1, all_57_21) = all_57_20 &
% 196.87/31.27 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_23) = all_57_22 & op(e1, e3) =
% 196.87/31.27 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e1, e2) = all_57_19 & op(e1, e1)
% 196.87/31.27 | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_21 & op(e1, e0) = all_57_23 &
% 196.87/31.27 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_16) & $i(all_57_17) &
% 196.87/31.27 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_19) & $i(all_57_20) &
% 196.87/31.27 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_22) & $i(all_57_23)) |
% 196.87/31.27 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_7 = e3 & ~ (all_57_1 = e0) & ~
% 196.87/31.27 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 196.87/31.27 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) & op(e3,
% 196.87/31.27 | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_1 & op(e3, e0) = e3 & op(e0,
% 196.87/31.27 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25) = all_57_24 & op(e0, all_57_27) =
% 196.87/31.27 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e0, all_57_29) = all_57_28 &
% 196.87/31.27 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_31) = all_57_30 & op(e0, e3) =
% 196.87/31.27 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_27 & op(e0, e1)
% 196.87/31.27 | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_29 & op(e0, e0) = all_57_31 &
% 196.87/31.27 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_24) & $i(all_57_25) &
% 196.87/31.27 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_27) & $i(all_57_28) &
% 196.87/31.27 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29) & $i(all_57_30) & $i(all_57_31)) |
% 196.87/31.27 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e2 & ~ (all_57_0 = e3) & ~ (all_57_2
% 196.87/31.27 | | | | | | | | | | | | | | | | | | | | | | | | | | = e2) & ~ (all_57_4 = e1) & ~ (all_57_6 =
% 196.87/31.27 | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_11 = e3) & op(e3, all_57_1) =
% 196.87/31.27 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_0 & op(e3, all_57_3) = all_57_2 & op(e3,
% 196.87/31.27 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_5) = all_57_4 & op(e3, all_57_7) =
% 196.87/31.27 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_6 & op(e3, e3) = all_57_1 & op(e3, e2) =
% 196.87/31.27 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 & op(e3, e1) = all_57_5 & op(e3, e0) =
% 196.87/31.27 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7 & op(e2, e3) = e2 & op(e2, e2) =
% 196.87/31.27 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_11 & $i(all_57_0) & $i(all_57_1) &
% 196.87/31.27 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_2) & $i(all_57_3) & $i(all_57_4) &
% 196.87/31.27 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 196.87/31.27 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11))
% 196.87/31.27 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.27 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6085) gives:
% 196.87/31.27 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.27 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 196.87/31.27 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | (6086) (all_57_3 = e3 & ~ (all_57_1 = e2) & ~ (all_57_8
% 196.87/31.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_10 = e2) & ~ (all_57_12 =
% 196.87/31.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_14 = e0) & op(e3, e3) =
% 196.87/31.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e2) = e3 & op(e2, all_57_9) =
% 196.87/31.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_8 & op(e2, all_57_11) = all_57_10 &
% 196.87/31.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_13) = all_57_12 & op(e2,
% 196.87/31.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15) = all_57_14 & op(e2, e3) = all_57_9
% 196.87/31.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = all_57_11 & op(e2, e1) =
% 196.87/31.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_13 & op(e2, e0) = all_57_15 &
% 196.87/31.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_8) & $i(all_57_9) &
% 196.87/31.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & $i(all_57_11) & $i(all_57_12) &
% 196.87/31.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13) & $i(all_57_14) & $i(all_57_15)) |
% 196.87/31.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_5 = e3 & ~ (all_57_1 = e1) & ~
% 196.87/31.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_16 = e3) & ~ (all_57_18 = e2) & ~
% 196.87/31.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_22 = e0) & op(e3,
% 196.87/31.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_1 & op(e3, e1) = e3 & op(e1,
% 196.87/31.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17) = all_57_16 & op(e1, all_57_19) =
% 196.87/31.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_18 & op(e1, all_57_21) = all_57_20 &
% 196.87/31.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_23) = all_57_22 & op(e1, e3) =
% 196.87/31.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e1, e2) = all_57_19 & op(e1, e1)
% 196.87/31.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_21 & op(e1, e0) = all_57_23 &
% 196.87/31.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_16) & $i(all_57_17) &
% 196.87/31.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_19) & $i(all_57_20) &
% 196.87/31.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_22) & $i(all_57_23))
% 196.87/31.27 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5145), (6077), (6086), (function-axioms) are
% 196.87/31.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1041.
% 196.87/31.27 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.27 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 196.87/31.27 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | (6087) (all_57_7 = e3 & ~ (all_57_1 = e0) & ~
% 196.87/31.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 196.87/31.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) & op(e3,
% 196.87/31.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_1 & op(e3, e0) = e3 & op(e0,
% 196.87/31.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25) = all_57_24 & op(e0, all_57_27) =
% 196.87/31.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e0, all_57_29) = all_57_28 &
% 196.87/31.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_31) = all_57_30 & op(e0, e3) =
% 196.87/31.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_27 & op(e0, e1)
% 196.87/31.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_29 & op(e0, e0) = all_57_31 &
% 196.87/31.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_24) & $i(all_57_25) &
% 196.87/31.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_27) & $i(all_57_28) &
% 196.87/31.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29) & $i(all_57_30) & $i(all_57_31)) |
% 196.87/31.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e2 & ~ (all_57_0 = e3) & ~ (all_57_2
% 196.87/31.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2) & ~ (all_57_4 = e1) & ~ (all_57_6 =
% 196.87/31.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_11 = e3) & op(e3, all_57_1) =
% 196.87/31.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_0 & op(e3, all_57_3) = all_57_2 & op(e3,
% 196.87/31.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_5) = all_57_4 & op(e3, all_57_7) =
% 196.87/31.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_6 & op(e3, e3) = all_57_1 & op(e3, e2) =
% 196.87/31.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 & op(e3, e1) = all_57_5 & op(e3, e0) =
% 196.87/31.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7 & op(e2, e3) = e2 & op(e2, e2) =
% 196.87/31.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_11 & $i(all_57_0) & $i(all_57_1) &
% 196.87/31.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_2) & $i(all_57_3) & $i(all_57_4) &
% 196.87/31.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 196.87/31.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11))
% 196.87/31.27 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (167), (168), (5131), (6081), (6087),
% 196.87/31.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 196.87/31.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | #1927.
% 196.87/31.27 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.27 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 196.87/31.27 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.27 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 196.87/31.27 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.27 | | | | | | | | | | | | | | | | | | | | | | | | | | (6088) (all_57_13 = e2 & ~ (all_57_11 = e1) & ~
% 196.87/31.27 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_16 = e3) & ~ (all_57_18 = e2) & ~
% 196.87/31.27 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_22 = e0) & op(e2,
% 196.87/31.27 | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_11 & op(e2, e1) = e2 & op(e1,
% 196.87/31.27 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17) = all_57_16 & op(e1, all_57_19) =
% 196.87/31.27 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_18 & op(e1, all_57_21) = all_57_20 &
% 196.87/31.27 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_23) = all_57_22 & op(e1, e3) =
% 196.87/31.27 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e1, e2) = all_57_19 & op(e1, e1)
% 196.87/31.27 | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_21 & op(e1, e0) = all_57_23 &
% 196.87/31.27 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_16) & $i(all_57_17) &
% 196.87/31.27 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_19) & $i(all_57_20) &
% 196.87/31.27 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_22) & $i(all_57_23)) |
% 196.87/31.27 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e2 & ~ (all_57_11 = e0) & ~
% 196.87/31.27 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 196.87/31.27 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) & op(e2,
% 196.87/31.27 | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_11 & op(e2, e0) = e2 & op(e0,
% 196.87/31.27 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25) = all_57_24 & op(e0, all_57_27) =
% 196.87/31.27 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e0, all_57_29) = all_57_28 &
% 196.87/31.27 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_31) = all_57_30 & op(e0, e3) =
% 196.87/31.27 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_27 & op(e0, e1)
% 196.87/31.27 | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_29 & op(e0, e0) = all_57_31 &
% 196.87/31.27 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_24) & $i(all_57_25) &
% 196.87/31.27 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_27) & $i(all_57_28) &
% 196.87/31.27 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29) & $i(all_57_30) & $i(all_57_31)) |
% 196.87/31.27 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_17 = e1 & ~ (all_57_0 = e3) & ~
% 196.87/31.27 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e2) & ~ (all_57_4 = e1) & ~
% 196.87/31.27 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_6 = e0) & ~ (all_57_21 = e3) & op(e3,
% 196.87/31.27 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1) = all_57_0 & op(e3, all_57_3) =
% 196.87/31.27 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_2 & op(e3, all_57_5) = all_57_4 & op(e3,
% 196.87/31.27 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7) = all_57_6 & op(e3, e3) = all_57_1 &
% 196.87/31.27 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_3 & op(e3, e1) = all_57_5 &
% 196.87/31.27 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_7 & op(e1, e3) = e1 & op(e1,
% 196.87/31.27 | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_21 & $i(all_57_0) & $i(all_57_1)
% 196.87/31.27 | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_2) & $i(all_57_3) & $i(all_57_4) &
% 196.87/31.27 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 196.87/31.27 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21)) | (all_57_19 = e1 & ~ (all_57_8
% 196.87/31.27 | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_10 = e2) & ~ (all_57_12 =
% 196.87/31.27 | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_14 = e0) & ~ (all_57_21 =
% 196.87/31.27 | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & op(e2, all_57_9) = all_57_8 & op(e2,
% 196.87/31.27 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_11) = all_57_10 & op(e2, all_57_13) =
% 196.87/31.27 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & op(e2, all_57_15) = all_57_14 &
% 196.87/31.27 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_9 & op(e2, e2) = all_57_11 &
% 196.87/31.27 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_57_13 & op(e2, e0) = all_57_15
% 196.87/31.27 | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e1 & op(e1, e1) = all_57_21 &
% 196.87/31.27 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8) & $i(all_57_9) & $i(all_57_10) &
% 196.87/31.27 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_12) & $i(all_57_13) &
% 196.87/31.27 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & $i(all_57_15) & $i(all_57_21)) |
% 196.87/31.27 | | | | | | | | | | | | | | | | | | | | | | | | | | (op(e0, e0) = all_57_31 & $i(all_57_31) &
% 196.87/31.27 | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_23 = e1 & ~ (all_57_21 = e0) & ~
% 196.87/31.27 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 196.87/31.27 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) &
% 196.87/31.27 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_21 & op(e1, e0) = e1 &
% 196.87/31.27 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_25) = all_57_24 & op(e0,
% 196.87/31.27 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27) = all_57_26 & op(e0, all_57_29)
% 196.87/31.27 | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_28 & op(e0, all_57_31) = all_57_30
% 196.87/31.27 | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e3) = all_57_25 & op(e0, e2) =
% 196.87/31.27 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27 & op(e0, e1) = all_57_29 &
% 196.87/31.27 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_24) &
% 196.87/31.27 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_25) & $i(all_57_26) &
% 196.87/31.27 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27) & $i(all_57_28) &
% 196.87/31.27 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29) & $i(all_57_30)) | (all_57_25
% 196.87/31.27 | | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & ~ (all_57_0 = e3) & ~ (all_57_2 =
% 196.87/31.27 | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_4 = e1) & ~ (all_57_6 =
% 196.87/31.27 | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_31 = e3) & op(e3,
% 196.87/31.27 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1) = all_57_0 & op(e3, all_57_3) =
% 196.87/31.27 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_2 & op(e3, all_57_5) = all_57_4 &
% 196.87/31.27 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, all_57_7) = all_57_6 & op(e3, e3) =
% 196.87/31.27 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e2) = all_57_3 & op(e3,
% 196.87/31.27 | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_5 & op(e3, e0) = all_57_7 &
% 196.87/31.27 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_0) &
% 196.87/31.27 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_2) & $i(all_57_3) &
% 196.87/31.27 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4) & $i(all_57_5) & $i(all_57_6) &
% 196.87/31.27 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7)) | (all_57_27 = e0 & ~
% 196.87/31.27 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e3) & ~ (all_57_10 = e2) & ~
% 196.87/31.27 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e1) & ~ (all_57_14 = e0) & ~
% 196.87/31.27 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e2) & op(e2, all_57_9) =
% 196.87/31.27 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_8 & op(e2, all_57_11) = all_57_10 &
% 196.87/31.27 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_13) = all_57_12 & op(e2,
% 196.87/31.27 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15) = all_57_14 & op(e2, e3) =
% 196.87/31.27 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_9 & op(e2, e2) = all_57_11 & op(e2,
% 196.87/31.27 | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_13 & op(e2, e0) = all_57_15 &
% 196.87/31.27 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_8) &
% 196.87/31.27 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9) & $i(all_57_10) & $i(all_57_11)
% 196.87/31.27 | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_12) & $i(all_57_13) &
% 196.87/31.27 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & $i(all_57_15)) | (all_57_29
% 196.87/31.27 | | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & ~ (all_57_16 = e3) & ~ (all_57_18 =
% 196.87/31.27 | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_20 = e1) & ~ (all_57_22
% 196.87/31.27 | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_31 = e1) & op(e1,
% 196.87/31.27 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17) = all_57_16 & op(e1, all_57_19)
% 196.87/31.27 | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_18 & op(e1, all_57_21) = all_57_20
% 196.87/31.27 | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, all_57_23) = all_57_22 & op(e1, e3)
% 196.87/31.27 | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_17 & op(e1, e2) = all_57_19 &
% 196.87/31.27 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_21 & op(e1, e0) =
% 196.87/31.27 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23 & op(e0, e1) = e0 & $i(all_57_16)
% 196.87/31.27 | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_17) & $i(all_57_18) &
% 196.87/31.27 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_20) &
% 196.87/31.27 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_22) &
% 196.87/31.27 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23))))
% 196.87/31.27 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.27 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6088) gives:
% 196.87/31.27 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.27 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 196.87/31.27 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | (6089) (all_57_13 = e2 & ~ (all_57_11 = e1) & ~
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_16 = e3) & ~ (all_57_18 = e2) & ~
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_22 = e0) & op(e2,
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_11 & op(e2, e1) = e2 & op(e1,
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17) = all_57_16 & op(e1, all_57_19) =
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_18 & op(e1, all_57_21) = all_57_20 &
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_23) = all_57_22 & op(e1, e3) =
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e1, e2) = all_57_19 & op(e1, e1)
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_21 & op(e1, e0) = all_57_23 &
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_16) & $i(all_57_17) &
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_19) & $i(all_57_20) &
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_22) & $i(all_57_23)) |
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e2 & ~ (all_57_11 = e0) & ~
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) & op(e2,
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_11 & op(e2, e0) = e2 & op(e0,
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25) = all_57_24 & op(e0, all_57_27) =
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e0, all_57_29) = all_57_28 &
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_31) = all_57_30 & op(e0, e3) =
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_27 & op(e0, e1)
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_29 & op(e0, e0) = all_57_31 &
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_24) & $i(all_57_25) &
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_27) & $i(all_57_28) &
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29) & $i(all_57_30) & $i(all_57_31))
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5204), (6077), (6089), (function-axioms) are
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1481.
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | (6090) (all_57_17 = e1 & ~ (all_57_0 = e3) & ~
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e2) & ~ (all_57_4 = e1) & ~
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_6 = e0) & ~ (all_57_21 = e3) & op(e3,
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1) = all_57_0 & op(e3, all_57_3) =
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_2 & op(e3, all_57_5) = all_57_4 & op(e3,
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7) = all_57_6 & op(e3, e3) = all_57_1 &
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_3 & op(e3, e1) = all_57_5 &
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_7 & op(e1, e3) = e1 & op(e1,
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_21 & $i(all_57_0) & $i(all_57_1)
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_2) & $i(all_57_3) & $i(all_57_4) &
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21)) | (all_57_19 = e1 & ~ (all_57_8
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_10 = e2) & ~ (all_57_12 =
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_14 = e0) & ~ (all_57_21 =
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & op(e2, all_57_9) = all_57_8 & op(e2,
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_11) = all_57_10 & op(e2, all_57_13) =
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & op(e2, all_57_15) = all_57_14 &
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_9 & op(e2, e2) = all_57_11 &
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_57_13 & op(e2, e0) = all_57_15
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e1 & op(e1, e1) = all_57_21 &
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8) & $i(all_57_9) & $i(all_57_10) &
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_12) & $i(all_57_13) &
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & $i(all_57_15) & $i(all_57_21)) |
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | (op(e0, e0) = all_57_31 & $i(all_57_31) &
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_23 = e1 & ~ (all_57_21 = e0) & ~
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) &
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_21 & op(e1, e0) = e1 &
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_25) = all_57_24 & op(e0,
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27) = all_57_26 & op(e0, all_57_29)
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_28 & op(e0, all_57_31) = all_57_30
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e3) = all_57_25 & op(e0, e2) =
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27 & op(e0, e1) = all_57_29 &
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_24) &
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_25) & $i(all_57_26) &
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27) & $i(all_57_28) &
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29) & $i(all_57_30)) | (all_57_25
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & ~ (all_57_0 = e3) & ~ (all_57_2 =
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_4 = e1) & ~ (all_57_6 =
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_31 = e3) & op(e3,
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1) = all_57_0 & op(e3, all_57_3) =
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_2 & op(e3, all_57_5) = all_57_4 &
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, all_57_7) = all_57_6 & op(e3, e3) =
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e2) = all_57_3 & op(e3,
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_5 & op(e3, e0) = all_57_7 &
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_0) &
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_2) & $i(all_57_3) &
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4) & $i(all_57_5) & $i(all_57_6) &
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7)) | (all_57_27 = e0 & ~
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e3) & ~ (all_57_10 = e2) & ~
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e1) & ~ (all_57_14 = e0) & ~
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e2) & op(e2, all_57_9) =
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_8 & op(e2, all_57_11) = all_57_10 &
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_13) = all_57_12 & op(e2,
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15) = all_57_14 & op(e2, e3) =
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_9 & op(e2, e2) = all_57_11 & op(e2,
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_13 & op(e2, e0) = all_57_15 &
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_8) &
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9) & $i(all_57_10) & $i(all_57_11)
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_12) & $i(all_57_13) &
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & $i(all_57_15)) | (all_57_29
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & ~ (all_57_16 = e3) & ~ (all_57_18 =
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_20 = e1) & ~ (all_57_22
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_31 = e1) & op(e1,
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17) = all_57_16 & op(e1, all_57_19)
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_18 & op(e1, all_57_21) = all_57_20
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, all_57_23) = all_57_22 & op(e1, e3)
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_17 & op(e1, e2) = all_57_19 &
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_21 & op(e1, e0) =
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23 & op(e0, e1) = e0 & $i(all_57_16)
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_17) & $i(all_57_18) &
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_20) &
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_22) &
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23))))
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6090) gives:
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6091) all_57_17 = e1 & ~ (all_57_0 = e3) & ~ (all_57_2
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2) & ~ (all_57_4 = e1) & ~ (all_57_6 = e0)
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_21 = e3) & op(e3, all_57_1) =
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_0 & op(e3, all_57_3) = all_57_2 & op(e3,
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_5) = all_57_4 & op(e3, all_57_7) =
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_6 & op(e3, e3) = all_57_1 & op(e3, e2) =
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 & op(e3, e1) = all_57_5 & op(e3, e0) =
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7 & op(e1, e3) = e1 & op(e1, e1) =
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_21 & $i(all_57_0) & $i(all_57_1) &
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_2) & $i(all_57_3) & $i(all_57_4) &
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21)
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6091) implies:
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6092) op(e1, e3) = e1
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (163), (6073), (6092), (function-axioms) are
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1939.
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6093) (all_57_19 = e1 & ~ (all_57_8 = e3) & ~
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e2) & ~ (all_57_12 = e1) & ~
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e0) & ~ (all_57_21 = e2) & op(e2,
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_9) = all_57_8 & op(e2, all_57_11) =
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e2, all_57_13) = all_57_12 &
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_15) = all_57_14 & op(e2, e3) =
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_9 & op(e2, e2) = all_57_11 & op(e2, e1) =
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_13 & op(e2, e0) = all_57_15 & op(e1, e2)
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & op(e1, e1) = all_57_21 & $i(all_57_8) &
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9) & $i(all_57_10) & $i(all_57_11) &
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & $i(all_57_13) & $i(all_57_14) &
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & $i(all_57_21)) | (op(e0, e0) =
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_31 & $i(all_57_31) & ((all_57_23 = e1 &
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_21 = e0) & ~ (all_57_24 = e3) &
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_26 = e2) & ~ (all_57_28 = e1) &
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_30 = e0) & op(e1, e1) = all_57_21
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e0) = e1 & op(e0, all_57_25) =
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_24 & op(e0, all_57_27) = all_57_26 &
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_29) = all_57_28 & op(e0,
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_31) = all_57_30 & op(e0, e3) =
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_27 & op(e0,
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_29 & $i(all_57_21) &
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_24) & $i(all_57_25) &
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_27) &
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28) & $i(all_57_29) &
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_25 = e0 & ~
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_0 = e3) & ~ (all_57_2 = e2) & ~
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1) & ~ (all_57_6 = e0) & ~
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e3) & op(e3, all_57_1) =
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_0 & op(e3, all_57_3) = all_57_2 &
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, all_57_5) = all_57_4 & op(e3,
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7) = all_57_6 & op(e3, e3) =
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e2) = all_57_3 & op(e3,
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_5 & op(e3, e0) = all_57_7 &
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_0) &
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_2) & $i(all_57_3) &
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4) & $i(all_57_5) & $i(all_57_6) &
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7)) | (all_57_27 = e0 & ~
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e3) & ~ (all_57_10 = e2) & ~
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e1) & ~ (all_57_14 = e0) & ~
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e2) & op(e2, all_57_9) =
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_8 & op(e2, all_57_11) = all_57_10 &
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_13) = all_57_12 & op(e2,
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15) = all_57_14 & op(e2, e3) =
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_9 & op(e2, e2) = all_57_11 & op(e2,
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_13 & op(e2, e0) = all_57_15 &
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_8) &
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9) & $i(all_57_10) & $i(all_57_11)
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_12) & $i(all_57_13) &
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & $i(all_57_15)) | (all_57_29
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & ~ (all_57_16 = e3) & ~ (all_57_18 =
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_20 = e1) & ~ (all_57_22
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_31 = e1) & op(e1,
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17) = all_57_16 & op(e1, all_57_19)
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_18 & op(e1, all_57_21) = all_57_20
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, all_57_23) = all_57_22 & op(e1, e3)
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_17 & op(e1, e2) = all_57_19 &
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_21 & op(e1, e0) =
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23 & op(e0, e1) = e0 & $i(all_57_16)
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_17) & $i(all_57_18) &
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_20) &
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_22) &
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23))))
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6093) gives:
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6094) all_57_19 = e1 & ~ (all_57_8 = e3) & ~
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e2) & ~ (all_57_12 = e1) & ~
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e0) & ~ (all_57_21 = e2) & op(e2,
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_9) = all_57_8 & op(e2, all_57_11) =
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e2, all_57_13) = all_57_12 & op(e2,
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15) = all_57_14 & op(e2, e3) = all_57_9 &
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_11 & op(e2, e1) = all_57_13 &
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_15 & op(e1, e2) = e1 & op(e1,
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_21 & $i(all_57_8) & $i(all_57_9) &
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & $i(all_57_11) & $i(all_57_12) &
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13) & $i(all_57_14) & $i(all_57_15) &
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21)
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6094) implies:
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6095) op(e1, e2) = e1
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (200), (5129), (5150), (5160), (5201), (6038),
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6084), (6095), (function-axioms) are inconsistent
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #931.
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6096) op(e0, e0) = all_57_31 & $i(all_57_31) &
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_23 = e1 & ~ (all_57_21 = e0) & ~
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) &
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_21 & op(e1, e0) = e1 &
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_25) = all_57_24 & op(e0,
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27) = all_57_26 & op(e0, all_57_29) =
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_28 & op(e0, all_57_31) = all_57_30 &
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_25 & op(e0, e2) =
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27 & op(e0, e1) = all_57_29 &
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_24) & $i(all_57_25)
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_26) & $i(all_57_27) &
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28) & $i(all_57_29) & $i(all_57_30))
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_25 = e0 & ~ (all_57_0 = e3) & ~
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e2) & ~ (all_57_4 = e1) & ~
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_6 = e0) & ~ (all_57_31 = e3) & op(e3,
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1) = all_57_0 & op(e3, all_57_3) =
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_2 & op(e3, all_57_5) = all_57_4 &
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, all_57_7) = all_57_6 & op(e3, e3) =
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e2) = all_57_3 & op(e3, e1)
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_5 & op(e3, e0) = all_57_7 & op(e0,
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e0 & $i(all_57_0) & $i(all_57_1) &
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_2) & $i(all_57_3) & $i(all_57_4) &
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_6) & $i(all_57_7)) |
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_27 = e0 & ~ (all_57_8 = e3) & ~
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e2) & ~ (all_57_12 = e1) & ~
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e0) & ~ (all_57_31 = e2) &
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_9) = all_57_8 & op(e2,
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_11) = all_57_10 & op(e2, all_57_13) =
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & op(e2, all_57_15) = all_57_14 &
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_9 & op(e2, e2) = all_57_11
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = all_57_13 & op(e2, e0) =
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15 & op(e0, e2) = e0 & $i(all_57_8) &
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9) & $i(all_57_10) & $i(all_57_11) &
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & $i(all_57_13) & $i(all_57_14)
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_15)) | (all_57_29 = e0 & ~
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_16 = e3) & ~ (all_57_18 = e2) & ~
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_22 = e0) & ~
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e1) & op(e1, all_57_17) =
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_16 & op(e1, all_57_19) = all_57_18 &
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_21) = all_57_20 & op(e1,
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23) = all_57_22 & op(e1, e3) =
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e1, e2) = all_57_19 & op(e1,
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_21 & op(e1, e0) = all_57_23 &
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_16) &
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_17) & $i(all_57_18) & $i(all_57_19)
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_20) & $i(all_57_21) &
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_23)))
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6096) implies:
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6097) (all_57_23 = e1 & ~ (all_57_21 = e0) & ~
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) & op(e1,
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_21 & op(e1, e0) = e1 & op(e0,
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25) = all_57_24 & op(e0, all_57_27) =
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e0, all_57_29) = all_57_28 &
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_31) = all_57_30 & op(e0, e3) =
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_27 & op(e0, e1)
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_29 & $i(all_57_21) & $i(all_57_24) &
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_25) & $i(all_57_26) & $i(all_57_27) &
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28) & $i(all_57_29) & $i(all_57_30)) |
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_25 = e0 & ~ (all_57_0 = e3) & ~
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e2) & ~ (all_57_4 = e1) & ~
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_6 = e0) & ~ (all_57_31 = e3) & op(e3,
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1) = all_57_0 & op(e3, all_57_3) =
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_2 & op(e3, all_57_5) = all_57_4 & op(e3,
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7) = all_57_6 & op(e3, e3) = all_57_1 &
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_3 & op(e3, e1) = all_57_5 &
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_7 & op(e0, e3) = e0 &
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_0) & $i(all_57_1) & $i(all_57_2) &
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_3) & $i(all_57_4) & $i(all_57_5) &
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_6) & $i(all_57_7)) | (all_57_27 = e0 &
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_8 = e3) & ~ (all_57_10 = e2) & ~
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e1) & ~ (all_57_14 = e0) & ~
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e2) & op(e2, all_57_9) = all_57_8 &
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_11) = all_57_10 & op(e2,
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_13) = all_57_12 & op(e2, all_57_15) =
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_14 & op(e2, e3) = all_57_9 & op(e2, e2) =
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_11 & op(e2, e1) = all_57_13 & op(e2, e0)
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_15 & op(e0, e2) = e0 & $i(all_57_8) &
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9) & $i(all_57_10) & $i(all_57_11) &
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & $i(all_57_13) & $i(all_57_14) &
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15)) | (all_57_29 = e0 & ~ (all_57_16
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_18 = e2) & ~ (all_57_20 =
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_22 = e0) & ~ (all_57_31 =
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & op(e1, all_57_17) = all_57_16 & op(e1,
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_19) = all_57_18 & op(e1, all_57_21) =
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20 & op(e1, all_57_23) = all_57_22 &
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_17 & op(e1, e2) = all_57_19
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = all_57_21 & op(e1, e0) =
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23 & op(e0, e1) = e0 & $i(all_57_16) &
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_17) & $i(all_57_18) & $i(all_57_19) &
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_20) & $i(all_57_21) & $i(all_57_22) &
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23))
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (224) gives:
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6098) (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e3)
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (5128), (5204), (6084), (6098),
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #933.
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6099) (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 =
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e0) = e3)
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6099) gives:
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6100) all_56_5 = e3 & op(e2, e1) = e3
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (6032), (6100) are inconsistent by sub-proof
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #948.
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6101) all_56_10 = e3 & op(e2, e0) = e3
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6101) implies:
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6102) all_56_10 = e3
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6097) gives:
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6103) (all_57_23 = e1 & ~ (all_57_21 = e0) & ~
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) & op(e1,
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_21 & op(e1, e0) = e1 & op(e0,
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25) = all_57_24 & op(e0, all_57_27) =
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e0, all_57_29) = all_57_28 &
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_31) = all_57_30 & op(e0, e3) =
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_27 & op(e0, e1)
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_29 & $i(all_57_21) & $i(all_57_24) &
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_25) & $i(all_57_26) & $i(all_57_27) &
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28) & $i(all_57_29) & $i(all_57_30)) |
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_25 = e0 & ~ (all_57_0 = e3) & ~
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e2) & ~ (all_57_4 = e1) & ~
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_6 = e0) & ~ (all_57_31 = e3) & op(e3,
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1) = all_57_0 & op(e3, all_57_3) =
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_2 & op(e3, all_57_5) = all_57_4 & op(e3,
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7) = all_57_6 & op(e3, e3) = all_57_1 &
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_3 & op(e3, e1) = all_57_5 &
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_7 & op(e0, e3) = e0 &
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_0) & $i(all_57_1) & $i(all_57_2) &
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_3) & $i(all_57_4) & $i(all_57_5) &
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_6) & $i(all_57_7))
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6103) gives:
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6104) all_57_23 = e1 & ~ (all_57_21 = e0) & ~
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) & op(e1,
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_21 & op(e1, e0) = e1 & op(e0,
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25) = all_57_24 & op(e0, all_57_27) =
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e0, all_57_29) = all_57_28 & op(e0,
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_31) = all_57_30 & op(e0, e3) = all_57_25
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e2) = all_57_27 & op(e0, e1) = all_57_29
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_21) & $i(all_57_24) & $i(all_57_25) &
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_27) & $i(all_57_28) &
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29) & $i(all_57_30)
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6104) implies:
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6105) op(e1, e0) = e1
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (160), (6074), (6105), (function-axioms) are
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1938.
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6106) all_57_25 = e0 & ~ (all_57_0 = e3) & ~ (all_57_2
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2) & ~ (all_57_4 = e1) & ~ (all_57_6 = e0)
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_31 = e3) & op(e3, all_57_1) =
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_0 & op(e3, all_57_3) = all_57_2 & op(e3,
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_5) = all_57_4 & op(e3, all_57_7) =
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_6 & op(e3, e3) = all_57_1 & op(e3, e2) =
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 & op(e3, e1) = all_57_5 & op(e3, e0) =
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7 & op(e0, e3) = e0 & $i(all_57_0) &
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_2) & $i(all_57_3) &
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4) & $i(all_57_5) & $i(all_57_6) &
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7)
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6106) implies:
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6107) ~ (all_57_6 = e0)
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6108) op(e3, e0) = all_57_7
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6109) op(e3, e1) = all_57_5
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6110) op(e3, all_57_7) = all_57_6
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (193) gives:
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6111) all_54_11 = e3
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (250), (6082), (6111) are inconsistent by
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1835.
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6112) ~ (all_54_11 = e3)
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6113) all_54_11 = e2 | all_54_11 = e1 | all_54_11 = e0
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6113) gives:
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6114) all_54_11 = e2
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (250), (6027), (6114) are inconsistent by
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1768.
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6115) ~ (all_54_11 = e2)
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6116) all_54_11 = e1 | all_54_11 = e0
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6116) gives:
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6117) all_54_11 = e1
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (250), (6074), (6117) are inconsistent by
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #979.
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6118) all_54_11 = e0
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (250), (6118) imply:
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6119) all_52_14 = e0
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6119) implies:
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6120) all_52_14 = e0
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6027), (6120) imply:
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6121) ~ (e2 = e0)
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (160), (6120) imply:
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6122) op(e1, e0) = e0
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (230) gives:
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6123) (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_1 = e0
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e0)
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (226), (228),
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5145), (5204), (6037), (6123), (function-axioms)
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1002.
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6124) (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_9 = e0
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e0)
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6124) gives:
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6125) all_56_4 = e0 & op(e3, e1) = e0
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6125) implies:
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6126) op(e3, e1) = e0
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (210) gives:
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6127) (all_56_9 = e1 & op(e3, e0) = e1) | (all_56_10 =
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e2, e0) = e1)
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6127) gives:
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6128) all_56_9 = e1 & op(e3, e0) = e1
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6128) implies:
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6129) op(e3, e0) = e1
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6107), (6108), (6109), (6110), (6126), (6129),
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #988.
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6130) all_56_10 = e1 & op(e2, e0) = e1
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (6102), (6130) are inconsistent by sub-proof
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1814.
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6131) (all_56_11 = e1 & op(e1, e0) = e1) | (all_56_15 =
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = e1)
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (6028), (6122), (6131),
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1360.
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6132) all_56_9 = e0 & op(e3, e0) = e0
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6132) implies:
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6133) op(e3, e0) = e0
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6107), (6108), (6110), (6133), (function-axioms)
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1632.
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6134) (all_57_27 = e0 & ~ (all_57_8 = e3) & ~
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e2) & ~ (all_57_12 = e1) & ~
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e0) & ~ (all_57_31 = e2) & op(e2,
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_9) = all_57_8 & op(e2, all_57_11) =
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e2, all_57_13) = all_57_12 &
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_15) = all_57_14 & op(e2, e3) =
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_9 & op(e2, e2) = all_57_11 & op(e2, e1) =
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_13 & op(e2, e0) = all_57_15 & op(e0, e2)
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & $i(all_57_8) & $i(all_57_9) &
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & $i(all_57_11) & $i(all_57_12) &
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13) & $i(all_57_14) & $i(all_57_15)) |
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_29 = e0 & ~ (all_57_16 = e3) & ~
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_18 = e2) & ~ (all_57_20 = e1) & ~
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_22 = e0) & ~ (all_57_31 = e1) & op(e1,
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17) = all_57_16 & op(e1, all_57_19) =
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_18 & op(e1, all_57_21) = all_57_20 &
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_23) = all_57_22 & op(e1, e3) =
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e1, e2) = all_57_19 & op(e1, e1)
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_21 & op(e1, e0) = all_57_23 & op(e0,
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0 & $i(all_57_16) & $i(all_57_17) &
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_19) & $i(all_57_20) &
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_22) & $i(all_57_23))
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (158), (5198), (6077), (6134), (function-axioms)
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1374.
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 196.87/31.28 | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.29 | | | | | | | | | | | | | | | | | | | | | | | | | (6135) all_54_7 = e2 | all_54_7 = e1 | all_54_7 = e0
% 196.87/31.29 | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.29 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6135) gives:
% 196.87/31.29 | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.29 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 196.87/31.29 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.29 | | | | | | | | | | | | | | | | | | | | | | | | | | (6136) all_54_7 = e2
% 196.87/31.29 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.29 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6048), (6060), (6136) are inconsistent by
% 196.87/31.29 | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1359.
% 196.87/31.29 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.29 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 196.87/31.29 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.29 | | | | | | | | | | | | | | | | | | | | | | | | | | (6137) ~ (all_54_7 = e2)
% 196.87/31.29 | | | | | | | | | | | | | | | | | | | | | | | | | | (6138) all_54_7 = e1 | all_54_7 = e0
% 196.87/31.29 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.29 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6138) gives:
% 196.87/31.29 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.29 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 196.87/31.29 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | (6139) all_54_7 = e1
% 196.87/31.29 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (6048), (6139) imply:
% 196.87/31.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | (6140) all_30_1 = e1
% 196.87/31.29 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6140) implies:
% 196.87/31.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | (6141) all_30_1 = e1
% 196.87/31.29 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6059), (6141) imply:
% 196.87/31.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | (6142) ~ (all_14_1 = e1)
% 196.87/31.29 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6142) implies:
% 196.87/31.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | (6143) ~ (all_14_1 = e1)
% 196.87/31.29 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (200) gives:
% 196.87/31.29 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 196.87/31.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6144) all_54_4 = e3
% 196.87/31.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5150), (6144) imply:
% 196.87/31.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6145) all_14_1 = e3
% 196.87/31.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6145) implies:
% 196.87/31.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6146) all_14_1 = e3
% 196.87/31.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5152), (6146) imply:
% 196.87/31.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6147) ~ (all_52_2 = e3)
% 196.87/31.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5128), (6146) imply:
% 196.87/31.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6148) op(e2, e3) = e3
% 196.87/31.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (196) gives:
% 196.87/31.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 196.87/31.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6149) all_54_8 = e3
% 196.87/31.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (259), (6147), (6149) are inconsistent by
% 196.87/31.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1393.
% 196.87/31.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 196.87/31.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6150) ~ (all_54_8 = e3)
% 196.87/31.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6151) all_54_8 = e2 | all_54_8 = e1 | all_54_8 = e0
% 196.87/31.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (224) gives:
% 196.87/31.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 196.87/31.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6152) (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3
% 196.87/31.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e3)
% 196.87/31.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6152) gives:
% 196.87/31.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 196.87/31.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6153) all_56_2 = e3 & op(e2, e3) = e3
% 196.87/31.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6153) implies:
% 196.87/31.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6154) all_56_2 = e3
% 196.87/31.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (239) gives:
% 196.87/31.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 196.87/31.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6155) (all_57_1 = e2 & ~ (all_57_3 = e3) & ~ (all_57_8
% 196.87/31.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_10 = e2) & ~ (all_57_12 =
% 196.87/31.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_14 = e0) & op(e3, e3) = e2 &
% 196.87/31.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_3 & op(e2, all_57_9) =
% 196.87/31.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_8 & op(e2, all_57_11) = all_57_10 &
% 196.87/31.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_13) = all_57_12 & op(e2,
% 196.87/31.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15) = all_57_14 & op(e2, e3) = all_57_9
% 196.87/31.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = all_57_11 & op(e2, e1) =
% 196.87/31.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_13 & op(e2, e0) = all_57_15 &
% 196.87/31.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_3) & $i(all_57_8) & $i(all_57_9) &
% 196.87/31.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & $i(all_57_11) & $i(all_57_12) &
% 196.87/31.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13) & $i(all_57_14) & $i(all_57_15)) |
% 196.87/31.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e1 & ~ (all_57_5 = e3) & ~
% 196.87/31.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_16 = e3) & ~ (all_57_18 = e2) & ~
% 196.87/31.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_22 = e0) & op(e3,
% 196.87/31.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e1 & op(e3, e1) = all_57_5 & op(e1,
% 196.87/31.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17) = all_57_16 & op(e1, all_57_19) =
% 196.87/31.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_18 & op(e1, all_57_21) = all_57_20 &
% 196.87/31.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_23) = all_57_22 & op(e1, e3) =
% 196.87/31.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e1, e2) = all_57_19 & op(e1, e1)
% 196.87/31.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_21 & op(e1, e0) = all_57_23 &
% 196.87/31.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_16) & $i(all_57_17) &
% 196.87/31.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_19) & $i(all_57_20) &
% 196.87/31.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_22) & $i(all_57_23)) |
% 196.87/31.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e0 & ~ (all_57_7 = e3) & ~
% 196.87/31.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 196.87/31.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) & op(e3,
% 196.87/31.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e0 & op(e3, e0) = all_57_7 & op(e0,
% 196.87/31.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25) = all_57_24 & op(e0, all_57_27) =
% 196.87/31.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e0, all_57_29) = all_57_28 &
% 196.87/31.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_31) = all_57_30 & op(e0, e3) =
% 196.87/31.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_27 & op(e0, e1)
% 196.87/31.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_29 & op(e0, e0) = all_57_31 &
% 196.87/31.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7) & $i(all_57_24) & $i(all_57_25) &
% 196.87/31.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_27) & $i(all_57_28) &
% 196.87/31.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29) & $i(all_57_30) & $i(all_57_31)) |
% 196.87/31.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e3 & ~ (all_57_0 = e3) & ~
% 196.87/31.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e2) & ~ (all_57_4 = e1) & ~
% 196.87/31.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_6 = e0) & ~ (all_57_9 = e2) & op(e3,
% 196.87/31.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1) = all_57_0 & op(e3, all_57_3) =
% 196.87/31.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_2 & op(e3, all_57_5) = all_57_4 & op(e3,
% 196.87/31.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7) = all_57_6 & op(e3, e3) = all_57_1 &
% 196.87/31.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_3 & op(e3, e1) = all_57_5 &
% 196.87/31.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_7 & op(e2, e3) = all_57_9 &
% 196.87/31.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e3 & $i(all_57_0) & $i(all_57_1) &
% 196.87/31.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_2) & $i(all_57_3) & $i(all_57_4) &
% 196.87/31.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 196.87/31.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9))
% 196.87/31.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6155) gives:
% 196.87/31.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 196.87/31.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6156) (all_57_1 = e2 & ~ (all_57_3 = e3) & ~ (all_57_8
% 196.87/31.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_10 = e2) & ~ (all_57_12 =
% 196.87/31.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_14 = e0) & op(e3, e3) = e2 &
% 196.87/31.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_3 & op(e2, all_57_9) =
% 196.87/31.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_8 & op(e2, all_57_11) = all_57_10 &
% 196.87/31.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_13) = all_57_12 & op(e2,
% 196.87/31.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15) = all_57_14 & op(e2, e3) = all_57_9
% 196.87/31.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = all_57_11 & op(e2, e1) =
% 196.87/31.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_13 & op(e2, e0) = all_57_15 &
% 196.87/31.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_3) & $i(all_57_8) & $i(all_57_9) &
% 196.87/31.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & $i(all_57_11) & $i(all_57_12) &
% 196.87/31.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13) & $i(all_57_14) & $i(all_57_15)) |
% 196.87/31.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e1 & ~ (all_57_5 = e3) & ~
% 196.87/31.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_16 = e3) & ~ (all_57_18 = e2) & ~
% 196.87/31.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_22 = e0) & op(e3,
% 196.87/31.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e1 & op(e3, e1) = all_57_5 & op(e1,
% 196.87/31.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17) = all_57_16 & op(e1, all_57_19) =
% 196.87/31.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_18 & op(e1, all_57_21) = all_57_20 &
% 196.87/31.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_23) = all_57_22 & op(e1, e3) =
% 196.87/31.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e1, e2) = all_57_19 & op(e1, e1)
% 196.87/31.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_21 & op(e1, e0) = all_57_23 &
% 196.87/31.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_16) & $i(all_57_17) &
% 196.87/31.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_19) & $i(all_57_20) &
% 196.87/31.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_22) & $i(all_57_23))
% 196.87/31.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (5145), (6148), (6156), (function-axioms) are
% 196.87/31.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #942.
% 196.87/31.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 196.87/31.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6157) (all_57_1 = e0 & ~ (all_57_7 = e3) & ~
% 196.87/31.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 196.87/31.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) & op(e3,
% 196.87/31.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e0 & op(e3, e0) = all_57_7 & op(e0,
% 196.87/31.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25) = all_57_24 & op(e0, all_57_27) =
% 196.87/31.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e0, all_57_29) = all_57_28 &
% 196.87/31.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_31) = all_57_30 & op(e0, e3) =
% 196.87/31.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_27 & op(e0, e1)
% 196.87/31.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_29 & op(e0, e0) = all_57_31 &
% 196.87/31.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7) & $i(all_57_24) & $i(all_57_25) &
% 196.87/31.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_27) & $i(all_57_28) &
% 196.87/31.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29) & $i(all_57_30) & $i(all_57_31)) |
% 196.87/31.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e3 & ~ (all_57_0 = e3) & ~
% 196.87/31.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e2) & ~ (all_57_4 = e1) & ~
% 196.87/31.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_6 = e0) & ~ (all_57_9 = e2) & op(e3,
% 196.87/31.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1) = all_57_0 & op(e3, all_57_3) =
% 196.87/31.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_2 & op(e3, all_57_5) = all_57_4 & op(e3,
% 196.87/31.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7) = all_57_6 & op(e3, e3) = all_57_1 &
% 196.87/31.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_3 & op(e3, e1) = all_57_5 &
% 196.87/31.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_7 & op(e2, e3) = all_57_9 &
% 196.87/31.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e3 & $i(all_57_0) & $i(all_57_1) &
% 196.87/31.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_2) & $i(all_57_3) & $i(all_57_4) &
% 196.87/31.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 196.87/31.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9))
% 196.87/31.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (7), (5145), (5204), (6157),
% 196.87/31.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 196.87/31.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #930.
% 196.87/31.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 196.87/31.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 196.87/31.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6158) (all_57_11 = e1 & ~ (all_57_13 = e2) & ~
% 196.87/31.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_16 = e3) & ~ (all_57_18 = e2) & ~
% 196.87/31.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_22 = e0) & op(e2,
% 196.87/31.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e1 & op(e2, e1) = all_57_13 & op(e1,
% 196.87/31.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17) = all_57_16 & op(e1, all_57_19) =
% 196.87/31.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_18 & op(e1, all_57_21) = all_57_20 &
% 196.87/31.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_23) = all_57_22 & op(e1, e3) =
% 196.87/31.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e1, e2) = all_57_19 & op(e1, e1)
% 196.87/31.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_21 & op(e1, e0) = all_57_23 &
% 196.87/31.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13) & $i(all_57_16) & $i(all_57_17) &
% 196.87/31.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_19) & $i(all_57_20) &
% 196.87/31.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_22) & $i(all_57_23)) |
% 196.87/31.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e0 & ~ (all_57_15 = e2) & ~
% 196.87/31.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 196.87/31.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) & op(e2,
% 196.87/31.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e0 & op(e2, e0) = all_57_15 & op(e0,
% 196.87/31.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25) = all_57_24 & op(e0, all_57_27) =
% 196.87/31.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e0, all_57_29) = all_57_28 &
% 196.87/31.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_31) = all_57_30 & op(e0, e3) =
% 196.87/31.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_27 & op(e0, e1)
% 196.87/31.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_29 & op(e0, e0) = all_57_31 &
% 196.87/31.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & $i(all_57_24) & $i(all_57_25) &
% 196.87/31.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_27) & $i(all_57_28) &
% 196.87/31.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29) & $i(all_57_30) & $i(all_57_31)) |
% 196.87/31.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e3 & ~ (all_57_0 = e3) & ~
% 196.87/31.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e2) & ~ (all_57_4 = e1) & ~
% 196.87/31.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_6 = e0) & ~ (all_57_17 = e1) & op(e3,
% 196.87/31.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1) = all_57_0 & op(e3, all_57_3) =
% 196.87/31.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_2 & op(e3, all_57_5) = all_57_4 & op(e3,
% 196.87/31.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7) = all_57_6 & op(e3, e3) = all_57_1 &
% 196.87/31.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_3 & op(e3, e1) = all_57_5 &
% 196.87/31.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_7 & op(e1, e3) = all_57_17 &
% 196.87/31.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e3 & $i(all_57_0) & $i(all_57_1) &
% 196.87/31.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_2) & $i(all_57_3) & $i(all_57_4) &
% 196.87/31.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 196.87/31.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_17)) | (all_57_21 = e2 & ~ (all_57_8
% 196.87/31.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_10 = e2) & ~ (all_57_12 =
% 196.87/31.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_14 = e0) & ~ (all_57_19 =
% 196.87/31.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & op(e2, all_57_9) = all_57_8 & op(e2,
% 196.87/31.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_11) = all_57_10 & op(e2, all_57_13) =
% 196.87/31.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & op(e2, all_57_15) = all_57_14 &
% 196.87/31.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_9 & op(e2, e2) = all_57_11 &
% 196.87/31.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_57_13 & op(e2, e0) = all_57_15
% 196.87/31.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = all_57_19 & op(e1, e1) = e2 &
% 196.87/31.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8) & $i(all_57_9) & $i(all_57_10) &
% 196.87/31.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_12) & $i(all_57_13) &
% 196.87/31.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & $i(all_57_15) & $i(all_57_19)) |
% 196.87/31.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (op(e0, e0) = all_57_31 & $i(all_57_31) &
% 196.87/31.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_21 = e0 & ~ (all_57_23 = e1) & ~
% 196.87/31.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 196.87/31.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) &
% 196.87/31.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = all_57_23 &
% 196.87/31.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_25) = all_57_24 & op(e0,
% 196.87/31.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27) = all_57_26 & op(e0, all_57_29)
% 196.87/31.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_28 & op(e0, all_57_31) = all_57_30
% 196.87/31.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e3) = all_57_25 & op(e0, e2) =
% 196.87/31.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27 & op(e0, e1) = all_57_29 &
% 196.87/31.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23) & $i(all_57_24) &
% 196.87/31.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_25) & $i(all_57_26) &
% 196.87/31.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27) & $i(all_57_28) &
% 196.87/31.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29) & $i(all_57_30)) | (all_57_31
% 196.87/31.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & ~ (all_57_0 = e3) & ~ (all_57_2 =
% 196.87/31.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_4 = e1) & ~ (all_57_6 =
% 196.87/31.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_25 = e0) & op(e3,
% 196.87/31.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1) = all_57_0 & op(e3, all_57_3) =
% 196.87/31.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_2 & op(e3, all_57_5) = all_57_4 &
% 196.87/31.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, all_57_7) = all_57_6 & op(e3, e3) =
% 196.87/31.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e2) = all_57_3 & op(e3,
% 196.87/31.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_5 & op(e3, e0) = all_57_7 &
% 196.87/31.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_25 & $i(all_57_0) &
% 196.87/31.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_2) & $i(all_57_3) &
% 196.87/31.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4) & $i(all_57_5) & $i(all_57_6) &
% 196.87/31.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7) & $i(all_57_25)) | (all_57_31 =
% 196.87/31.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_8 = e3) & ~ (all_57_10 =
% 196.87/31.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_12 = e1) & ~ (all_57_14
% 196.87/31.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_27 = e0) & op(e2,
% 196.87/31.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_9) = all_57_8 & op(e2, all_57_11) =
% 196.87/31.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e2, all_57_13) = all_57_12 &
% 196.87/31.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_15) = all_57_14 & op(e2, e3) =
% 196.87/31.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_9 & op(e2, e2) = all_57_11 & op(e2,
% 196.87/31.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_13 & op(e2, e0) = all_57_15 &
% 196.87/31.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_27 & $i(all_57_8) &
% 196.87/31.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9) & $i(all_57_10) & $i(all_57_11)
% 196.87/31.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_12) & $i(all_57_13) &
% 196.87/31.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & $i(all_57_15) &
% 196.87/31.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27)) | (all_57_31 = e1 & ~
% 196.87/31.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_16 = e3) & ~ (all_57_18 = e2) & ~
% 196.87/31.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_22 = e0) & ~
% 196.87/31.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_29 = e0) & op(e1, all_57_17) =
% 196.87/31.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_16 & op(e1, all_57_19) = all_57_18 &
% 196.87/31.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_21) = all_57_20 & op(e1,
% 196.87/31.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23) = all_57_22 & op(e1, e3) =
% 196.87/31.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e1, e2) = all_57_19 & op(e1,
% 196.87/31.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_21 & op(e1, e0) = all_57_23 &
% 196.87/31.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = all_57_29 & $i(all_57_16) &
% 196.87/31.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_17) & $i(all_57_18) &
% 196.87/31.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_20) &
% 196.87/31.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_22) &
% 196.87/31.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23) & $i(all_57_29))))
% 196.87/31.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6158) gives:
% 196.87/31.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 196.87/31.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6159) (all_57_11 = e1 & ~ (all_57_13 = e2) & ~
% 196.87/31.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_16 = e3) & ~ (all_57_18 = e2) & ~
% 196.87/31.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_22 = e0) & op(e2,
% 196.87/31.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e1 & op(e2, e1) = all_57_13 & op(e1,
% 196.87/31.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17) = all_57_16 & op(e1, all_57_19) =
% 196.87/31.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_18 & op(e1, all_57_21) = all_57_20 &
% 196.87/31.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_23) = all_57_22 & op(e1, e3) =
% 196.87/31.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e1, e2) = all_57_19 & op(e1, e1)
% 196.87/31.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_21 & op(e1, e0) = all_57_23 &
% 196.87/31.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13) & $i(all_57_16) & $i(all_57_17) &
% 196.87/31.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_19) & $i(all_57_20) &
% 196.87/31.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_22) & $i(all_57_23)) |
% 196.87/31.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e0 & ~ (all_57_15 = e2) & ~
% 196.87/31.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 196.87/31.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) & op(e2,
% 196.87/31.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e0 & op(e2, e0) = all_57_15 & op(e0,
% 196.87/31.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25) = all_57_24 & op(e0, all_57_27) =
% 196.87/31.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e0, all_57_29) = all_57_28 &
% 196.87/31.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_31) = all_57_30 & op(e0, e3) =
% 196.87/31.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_27 & op(e0, e1)
% 196.87/31.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_29 & op(e0, e0) = all_57_31 &
% 196.87/31.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & $i(all_57_24) & $i(all_57_25) &
% 196.87/31.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_27) & $i(all_57_28) &
% 196.87/31.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29) & $i(all_57_30) & $i(all_57_31))
% 196.87/31.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6159) gives:
% 196.87/31.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 196.87/31.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6160) all_57_11 = e1 & ~ (all_57_13 = e2) & ~
% 196.87/31.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_16 = e3) & ~ (all_57_18 = e2) & ~
% 196.87/31.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_22 = e0) & op(e2,
% 196.87/31.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e1 & op(e2, e1) = all_57_13 & op(e1,
% 196.87/31.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17) = all_57_16 & op(e1, all_57_19) =
% 196.87/31.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_18 & op(e1, all_57_21) = all_57_20 & op(e1,
% 196.87/31.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23) = all_57_22 & op(e1, e3) = all_57_17
% 196.87/31.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = all_57_19 & op(e1, e1) = all_57_21
% 196.87/31.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e0) = all_57_23 & $i(all_57_13) &
% 196.87/31.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_16) & $i(all_57_17) & $i(all_57_18) &
% 196.87/31.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_20) & $i(all_57_21) &
% 196.87/31.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_23)
% 196.87/31.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6160) implies:
% 196.87/31.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6161) op(e2, e2) = e1
% 196.87/31.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5204), (6161), (function-axioms) are
% 196.87/31.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1512.
% 196.87/31.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 196.87/31.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6162) all_57_11 = e0 & ~ (all_57_15 = e2) & ~
% 196.87/31.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 196.87/31.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) & op(e2,
% 196.87/31.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e0 & op(e2, e0) = all_57_15 & op(e0,
% 196.87/31.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25) = all_57_24 & op(e0, all_57_27) =
% 196.87/31.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e0, all_57_29) = all_57_28 & op(e0,
% 196.87/31.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_31) = all_57_30 & op(e0, e3) = all_57_25
% 196.87/31.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e2) = all_57_27 & op(e0, e1) = all_57_29
% 196.87/31.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = all_57_31 & $i(all_57_15) &
% 196.87/31.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_24) & $i(all_57_25) & $i(all_57_26) &
% 196.87/31.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27) & $i(all_57_28) & $i(all_57_29) &
% 196.87/31.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30) & $i(all_57_31)
% 196.87/31.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6162) implies:
% 196.87/31.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6163) ~ (all_57_24 = e3)
% 196.87/31.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6164) op(e0, e3) = all_57_25
% 196.87/31.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6165) op(e0, all_57_25) = all_57_24
% 196.87/31.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (45), (112), (141),
% 196.87/31.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (158), (160), (162), (163), (164), (168), (193),
% 196.87/31.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (206), (209), (216), (222), (223), (224), (225),
% 196.87/31.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (226), (227), (228), (229), (231), (235), (238),
% 196.87/31.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (250), (259), (376), (5132), (5144), (5145),
% 196.87/31.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5197), (5198), (5200), (5204), (6027), (6028),
% 196.87/31.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6037), (6073), (6074), (6077), (6147), (6148),
% 196.87/31.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6151), (6154), (6163), (6164), (6165),
% 196.87/31.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 196.87/31.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #925.
% 196.87/31.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 196.87/31.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 196.87/31.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6166) (all_57_21 = e3 & ~ (all_57_0 = e3) & ~
% 196.87/31.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e2) & ~ (all_57_4 = e1) & ~
% 196.87/31.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_6 = e0) & ~ (all_57_17 = e1) & op(e3,
% 196.87/31.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1) = all_57_0 & op(e3, all_57_3) =
% 196.87/31.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_2 & op(e3, all_57_5) = all_57_4 & op(e3,
% 196.87/31.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7) = all_57_6 & op(e3, e3) = all_57_1 &
% 196.87/31.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_3 & op(e3, e1) = all_57_5 &
% 196.87/31.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_7 & op(e1, e3) = all_57_17 &
% 196.87/31.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e3 & $i(all_57_0) & $i(all_57_1) &
% 196.87/31.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_2) & $i(all_57_3) & $i(all_57_4) &
% 196.87/31.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 196.87/31.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_17)) | (all_57_21 = e2 & ~ (all_57_8
% 196.87/31.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_10 = e2) & ~ (all_57_12 =
% 196.87/31.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_14 = e0) & ~ (all_57_19 =
% 196.87/31.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & op(e2, all_57_9) = all_57_8 & op(e2,
% 196.87/31.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_11) = all_57_10 & op(e2, all_57_13) =
% 196.87/31.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & op(e2, all_57_15) = all_57_14 &
% 196.87/31.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_9 & op(e2, e2) = all_57_11 &
% 196.87/31.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_57_13 & op(e2, e0) = all_57_15
% 196.87/31.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = all_57_19 & op(e1, e1) = e2 &
% 196.87/31.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8) & $i(all_57_9) & $i(all_57_10) &
% 196.87/31.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_12) & $i(all_57_13) &
% 196.87/31.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & $i(all_57_15) & $i(all_57_19)) |
% 196.87/31.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (op(e0, e0) = all_57_31 & $i(all_57_31) &
% 196.87/31.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_21 = e0 & ~ (all_57_23 = e1) & ~
% 196.87/31.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 196.87/31.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) &
% 196.87/31.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = all_57_23 &
% 196.87/31.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_25) = all_57_24 & op(e0,
% 196.87/31.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27) = all_57_26 & op(e0, all_57_29)
% 196.87/31.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_28 & op(e0, all_57_31) = all_57_30
% 196.87/31.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e3) = all_57_25 & op(e0, e2) =
% 196.87/31.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27 & op(e0, e1) = all_57_29 &
% 196.87/31.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23) & $i(all_57_24) &
% 196.87/31.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_25) & $i(all_57_26) &
% 196.87/31.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27) & $i(all_57_28) &
% 196.87/31.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29) & $i(all_57_30)) | (all_57_31
% 196.87/31.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & ~ (all_57_0 = e3) & ~ (all_57_2 =
% 196.87/31.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_4 = e1) & ~ (all_57_6 =
% 196.87/31.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_25 = e0) & op(e3,
% 196.87/31.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1) = all_57_0 & op(e3, all_57_3) =
% 196.87/31.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_2 & op(e3, all_57_5) = all_57_4 &
% 196.87/31.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, all_57_7) = all_57_6 & op(e3, e3) =
% 196.87/31.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e2) = all_57_3 & op(e3,
% 196.87/31.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_5 & op(e3, e0) = all_57_7 &
% 196.87/31.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_25 & $i(all_57_0) &
% 196.87/31.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_2) & $i(all_57_3) &
% 196.87/31.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4) & $i(all_57_5) & $i(all_57_6) &
% 196.87/31.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7) & $i(all_57_25)) | (all_57_31 =
% 196.87/31.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_8 = e3) & ~ (all_57_10 =
% 196.87/31.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_12 = e1) & ~ (all_57_14
% 196.87/31.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_27 = e0) & op(e2,
% 196.87/31.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_9) = all_57_8 & op(e2, all_57_11) =
% 196.87/31.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e2, all_57_13) = all_57_12 &
% 196.87/31.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_15) = all_57_14 & op(e2, e3) =
% 196.87/31.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_9 & op(e2, e2) = all_57_11 & op(e2,
% 196.87/31.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_13 & op(e2, e0) = all_57_15 &
% 196.87/31.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_27 & $i(all_57_8) &
% 196.87/31.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9) & $i(all_57_10) & $i(all_57_11)
% 196.87/31.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_12) & $i(all_57_13) &
% 196.87/31.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & $i(all_57_15) &
% 196.87/31.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27)) | (all_57_31 = e1 & ~
% 196.87/31.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_16 = e3) & ~ (all_57_18 = e2) & ~
% 196.87/31.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_22 = e0) & ~
% 196.87/31.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_29 = e0) & op(e1, all_57_17) =
% 196.87/31.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_16 & op(e1, all_57_19) = all_57_18 &
% 196.87/31.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_21) = all_57_20 & op(e1,
% 196.87/31.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23) = all_57_22 & op(e1, e3) =
% 196.87/31.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e1, e2) = all_57_19 & op(e1,
% 196.87/31.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_21 & op(e1, e0) = all_57_23 &
% 196.87/31.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = all_57_29 & $i(all_57_16) &
% 196.87/31.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_17) & $i(all_57_18) &
% 196.87/31.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_20) &
% 196.87/31.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_22) &
% 196.87/31.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23) & $i(all_57_29))))
% 196.87/31.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6166) gives:
% 196.87/31.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 196.87/31.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6167) all_57_21 = e3 & ~ (all_57_0 = e3) & ~ (all_57_2
% 196.87/31.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2) & ~ (all_57_4 = e1) & ~ (all_57_6 = e0)
% 196.87/31.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_17 = e1) & op(e3, all_57_1) =
% 196.87/31.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_0 & op(e3, all_57_3) = all_57_2 & op(e3,
% 196.87/31.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_5) = all_57_4 & op(e3, all_57_7) =
% 196.87/31.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_6 & op(e3, e3) = all_57_1 & op(e3, e2) =
% 196.87/31.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 & op(e3, e1) = all_57_5 & op(e3, e0) =
% 196.87/31.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7 & op(e1, e3) = all_57_17 & op(e1, e1) =
% 196.87/31.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & $i(all_57_0) & $i(all_57_1) & $i(all_57_2) &
% 196.87/31.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_3) & $i(all_57_4) & $i(all_57_5) &
% 196.87/31.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_6) & $i(all_57_7) & $i(all_57_17)
% 196.87/31.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6167) implies:
% 196.87/31.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6168) op(e1, e1) = e3
% 196.87/31.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (6077), (6168), (function-axioms) are
% 196.87/31.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1958.
% 196.87/31.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 196.87/31.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6169) (all_57_21 = e2 & ~ (all_57_8 = e3) & ~
% 196.87/31.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e2) & ~ (all_57_12 = e1) & ~
% 196.87/31.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e0) & ~ (all_57_19 = e1) & op(e2,
% 196.87/31.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_9) = all_57_8 & op(e2, all_57_11) =
% 196.87/31.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e2, all_57_13) = all_57_12 &
% 196.87/31.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_15) = all_57_14 & op(e2, e3) =
% 196.87/31.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_9 & op(e2, e2) = all_57_11 & op(e2, e1) =
% 196.87/31.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_13 & op(e2, e0) = all_57_15 & op(e1, e2)
% 196.87/31.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_19 & op(e1, e1) = e2 & $i(all_57_8) &
% 196.87/31.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9) & $i(all_57_10) & $i(all_57_11) &
% 196.87/31.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & $i(all_57_13) & $i(all_57_14) &
% 196.87/31.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & $i(all_57_19)) | (op(e0, e0) =
% 196.87/31.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_31 & $i(all_57_31) & ((all_57_21 = e0 &
% 196.87/31.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_23 = e1) & ~ (all_57_24 = e3) &
% 196.87/31.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_26 = e2) & ~ (all_57_28 = e1) &
% 196.87/31.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_30 = e0) & op(e1, e1) = e0 &
% 196.87/31.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_23 & op(e0, all_57_25) =
% 196.87/31.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_24 & op(e0, all_57_27) = all_57_26 &
% 196.87/31.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_29) = all_57_28 & op(e0,
% 196.87/31.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_31) = all_57_30 & op(e0, e3) =
% 196.87/31.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_27 & op(e0,
% 196.87/31.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_29 & $i(all_57_23) &
% 196.87/31.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_24) & $i(all_57_25) &
% 196.87/31.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_27) &
% 196.87/31.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28) & $i(all_57_29) &
% 196.87/31.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_31 = e3 & ~
% 196.87/31.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_0 = e3) & ~ (all_57_2 = e2) & ~
% 196.87/31.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1) & ~ (all_57_6 = e0) & ~
% 196.87/31.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_25 = e0) & op(e3, all_57_1) =
% 196.87/31.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_0 & op(e3, all_57_3) = all_57_2 &
% 196.87/31.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, all_57_5) = all_57_4 & op(e3,
% 196.87/31.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7) = all_57_6 & op(e3, e3) =
% 196.87/31.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e2) = all_57_3 & op(e3,
% 196.87/31.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_5 & op(e3, e0) = all_57_7 &
% 196.87/31.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_25 & $i(all_57_0) &
% 196.87/31.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_2) & $i(all_57_3) &
% 196.87/31.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4) & $i(all_57_5) & $i(all_57_6) &
% 196.87/31.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7) & $i(all_57_25)) | (all_57_31 =
% 196.87/31.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_8 = e3) & ~ (all_57_10 =
% 196.87/31.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_12 = e1) & ~ (all_57_14
% 196.87/31.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_27 = e0) & op(e2,
% 196.87/31.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_9) = all_57_8 & op(e2, all_57_11) =
% 196.87/31.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e2, all_57_13) = all_57_12 &
% 196.87/31.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_15) = all_57_14 & op(e2, e3) =
% 196.87/31.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_9 & op(e2, e2) = all_57_11 & op(e2,
% 196.87/31.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_13 & op(e2, e0) = all_57_15 &
% 196.87/31.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_27 & $i(all_57_8) &
% 196.87/31.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9) & $i(all_57_10) & $i(all_57_11)
% 196.87/31.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_12) & $i(all_57_13) &
% 196.87/31.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & $i(all_57_15) &
% 196.87/31.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27)) | (all_57_31 = e1 & ~
% 196.87/31.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_16 = e3) & ~ (all_57_18 = e2) & ~
% 196.87/31.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_22 = e0) & ~
% 196.87/31.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_29 = e0) & op(e1, all_57_17) =
% 196.87/31.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_16 & op(e1, all_57_19) = all_57_18 &
% 196.87/31.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_21) = all_57_20 & op(e1,
% 196.87/31.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23) = all_57_22 & op(e1, e3) =
% 196.87/31.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e1, e2) = all_57_19 & op(e1,
% 196.87/31.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_21 & op(e1, e0) = all_57_23 &
% 196.87/31.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = all_57_29 & $i(all_57_16) &
% 196.87/31.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_17) & $i(all_57_18) &
% 196.87/31.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_20) &
% 196.87/31.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_22) &
% 196.87/31.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23) & $i(all_57_29))))
% 196.87/31.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6169) gives:
% 196.87/31.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 196.87/31.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6170) all_57_21 = e2 & ~ (all_57_8 = e3) & ~
% 196.87/31.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e2) & ~ (all_57_12 = e1) & ~
% 196.87/31.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e0) & ~ (all_57_19 = e1) & op(e2,
% 196.87/31.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_9) = all_57_8 & op(e2, all_57_11) =
% 196.87/31.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e2, all_57_13) = all_57_12 & op(e2,
% 196.87/31.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15) = all_57_14 & op(e2, e3) = all_57_9 &
% 196.87/31.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_11 & op(e2, e1) = all_57_13 &
% 196.87/31.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_15 & op(e1, e2) = all_57_19 &
% 196.87/31.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e2 & $i(all_57_8) & $i(all_57_9) &
% 196.87/31.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & $i(all_57_11) & $i(all_57_12) &
% 196.87/31.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13) & $i(all_57_14) & $i(all_57_15) &
% 196.87/31.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19)
% 196.87/31.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6170) implies:
% 196.87/31.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6171) op(e1, e1) = e2
% 196.87/31.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (6077), (6171), (function-axioms) are
% 196.87/31.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1957.
% 196.87/31.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 196.87/31.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6172) op(e0, e0) = all_57_31 & $i(all_57_31) &
% 196.87/31.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_21 = e0 & ~ (all_57_23 = e1) & ~
% 196.87/31.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 196.87/31.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) &
% 196.87/31.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = all_57_23 &
% 196.87/31.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_25) = all_57_24 & op(e0,
% 196.87/31.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27) = all_57_26 & op(e0, all_57_29) =
% 196.87/31.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_28 & op(e0, all_57_31) = all_57_30 &
% 196.87/31.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_25 & op(e0, e2) =
% 196.87/31.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27 & op(e0, e1) = all_57_29 &
% 196.87/31.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23) & $i(all_57_24) & $i(all_57_25)
% 196.87/31.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_26) & $i(all_57_27) &
% 196.87/31.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28) & $i(all_57_29) & $i(all_57_30))
% 196.87/31.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e3 & ~ (all_57_0 = e3) & ~
% 196.87/31.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e2) & ~ (all_57_4 = e1) & ~
% 196.87/31.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_6 = e0) & ~ (all_57_25 = e0) & op(e3,
% 196.87/31.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1) = all_57_0 & op(e3, all_57_3) =
% 196.87/31.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_2 & op(e3, all_57_5) = all_57_4 &
% 196.87/31.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, all_57_7) = all_57_6 & op(e3, e3) =
% 196.87/31.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e2) = all_57_3 & op(e3, e1)
% 196.87/31.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_5 & op(e3, e0) = all_57_7 & op(e0,
% 196.87/31.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_25 & $i(all_57_0) &
% 196.87/31.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_2) & $i(all_57_3) &
% 196.87/31.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4) & $i(all_57_5) & $i(all_57_6) &
% 196.87/31.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7) & $i(all_57_25)) | (all_57_31 =
% 196.87/31.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_8 = e3) & ~ (all_57_10 = e2)
% 196.87/31.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_12 = e1) & ~ (all_57_14 = e0) &
% 196.87/31.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_27 = e0) & op(e2, all_57_9) =
% 196.87/31.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_8 & op(e2, all_57_11) = all_57_10 &
% 196.87/31.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_13) = all_57_12 & op(e2,
% 196.87/31.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15) = all_57_14 & op(e2, e3) =
% 196.87/31.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_9 & op(e2, e2) = all_57_11 & op(e2, e1)
% 196.87/31.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_13 & op(e2, e0) = all_57_15 & op(e0,
% 196.87/31.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_27 & $i(all_57_8) &
% 196.87/31.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9) & $i(all_57_10) & $i(all_57_11) &
% 196.87/31.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & $i(all_57_13) & $i(all_57_14)
% 196.87/31.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_15) & $i(all_57_27)) | (all_57_31
% 196.87/31.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_16 = e3) & ~ (all_57_18 =
% 196.87/31.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_20 = e1) & ~ (all_57_22 =
% 196.87/31.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_29 = e0) & op(e1,
% 196.87/31.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17) = all_57_16 & op(e1, all_57_19) =
% 196.87/31.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_18 & op(e1, all_57_21) = all_57_20 &
% 196.87/31.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_23) = all_57_22 & op(e1, e3) =
% 196.87/31.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e1, e2) = all_57_19 & op(e1,
% 196.87/31.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_21 & op(e1, e0) = all_57_23 &
% 196.87/31.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = all_57_29 & $i(all_57_16) &
% 196.87/31.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_17) & $i(all_57_18) & $i(all_57_19)
% 196.87/31.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_20) & $i(all_57_21) &
% 196.87/31.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_23) &
% 196.87/31.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29)))
% 196.87/31.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6172) implies:
% 196.87/31.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6173) op(e0, e0) = all_57_31
% 196.87/31.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6174) (all_57_21 = e0 & ~ (all_57_23 = e1) & ~
% 196.87/31.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 196.87/31.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) & op(e1,
% 196.87/31.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0 & op(e1, e0) = all_57_23 & op(e0,
% 196.87/31.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25) = all_57_24 & op(e0, all_57_27) =
% 196.87/31.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e0, all_57_29) = all_57_28 &
% 196.87/31.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_31) = all_57_30 & op(e0, e3) =
% 196.87/31.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_27 & op(e0, e1)
% 196.87/31.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_29 & $i(all_57_23) & $i(all_57_24) &
% 196.87/31.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_25) & $i(all_57_26) & $i(all_57_27) &
% 196.87/31.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28) & $i(all_57_29) & $i(all_57_30)) |
% 196.87/31.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e3 & ~ (all_57_0 = e3) & ~
% 196.87/31.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e2) & ~ (all_57_4 = e1) & ~
% 196.87/31.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_6 = e0) & ~ (all_57_25 = e0) & op(e3,
% 196.87/31.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1) = all_57_0 & op(e3, all_57_3) =
% 196.87/31.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_2 & op(e3, all_57_5) = all_57_4 & op(e3,
% 196.87/31.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7) = all_57_6 & op(e3, e3) = all_57_1 &
% 196.87/31.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_3 & op(e3, e1) = all_57_5 &
% 196.87/31.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_7 & op(e0, e3) = all_57_25 &
% 196.87/31.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_0) & $i(all_57_1) & $i(all_57_2) &
% 196.87/31.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_3) & $i(all_57_4) & $i(all_57_5) &
% 196.87/31.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_6) & $i(all_57_7) & $i(all_57_25)) |
% 196.87/31.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e2 & ~ (all_57_8 = e3) & ~
% 196.87/31.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e2) & ~ (all_57_12 = e1) & ~
% 196.87/31.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e0) & ~ (all_57_27 = e0) & op(e2,
% 196.87/31.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_9) = all_57_8 & op(e2, all_57_11) =
% 196.87/31.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e2, all_57_13) = all_57_12 &
% 196.87/31.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_15) = all_57_14 & op(e2, e3) =
% 196.87/31.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_9 & op(e2, e2) = all_57_11 & op(e2, e1) =
% 196.87/31.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_13 & op(e2, e0) = all_57_15 & op(e0, e2)
% 196.87/31.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_27 & $i(all_57_8) & $i(all_57_9) &
% 196.87/31.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & $i(all_57_11) & $i(all_57_12) &
% 196.87/31.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13) & $i(all_57_14) & $i(all_57_15) &
% 196.87/31.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27)) | (all_57_31 = e1 & ~ (all_57_16
% 196.87/31.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_18 = e2) & ~ (all_57_20 =
% 196.87/31.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_22 = e0) & ~ (all_57_29 =
% 196.87/31.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & op(e1, all_57_17) = all_57_16 & op(e1,
% 196.87/31.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_19) = all_57_18 & op(e1, all_57_21) =
% 196.87/31.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20 & op(e1, all_57_23) = all_57_22 &
% 196.87/31.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_17 & op(e1, e2) = all_57_19
% 196.87/31.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = all_57_21 & op(e1, e0) =
% 196.87/31.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23 & op(e0, e1) = all_57_29 &
% 196.87/31.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_16) & $i(all_57_17) & $i(all_57_18) &
% 196.87/31.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_20) & $i(all_57_21) &
% 196.87/31.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_23) & $i(all_57_29))
% 196.87/31.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6174) gives:
% 196.87/31.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 196.87/31.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6175) (all_57_21 = e0 & ~ (all_57_23 = e1) & ~
% 196.87/31.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 196.87/31.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) & op(e1,
% 196.87/31.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0 & op(e1, e0) = all_57_23 & op(e0,
% 196.87/31.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25) = all_57_24 & op(e0, all_57_27) =
% 196.87/31.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e0, all_57_29) = all_57_28 &
% 196.87/31.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_31) = all_57_30 & op(e0, e3) =
% 196.87/31.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_27 & op(e0, e1)
% 196.87/31.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_29 & $i(all_57_23) & $i(all_57_24) &
% 196.87/31.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_25) & $i(all_57_26) & $i(all_57_27) &
% 196.87/31.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28) & $i(all_57_29) & $i(all_57_30)) |
% 196.87/31.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e3 & ~ (all_57_0 = e3) & ~
% 196.87/31.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e2) & ~ (all_57_4 = e1) & ~
% 196.87/31.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_6 = e0) & ~ (all_57_25 = e0) & op(e3,
% 196.87/31.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1) = all_57_0 & op(e3, all_57_3) =
% 196.87/31.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_2 & op(e3, all_57_5) = all_57_4 & op(e3,
% 196.87/31.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7) = all_57_6 & op(e3, e3) = all_57_1 &
% 196.87/31.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_3 & op(e3, e1) = all_57_5 &
% 196.87/31.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_7 & op(e0, e3) = all_57_25 &
% 196.87/31.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_0) & $i(all_57_1) & $i(all_57_2) &
% 196.87/31.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_3) & $i(all_57_4) & $i(all_57_5) &
% 196.87/31.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_6) & $i(all_57_7) & $i(all_57_25))
% 196.87/31.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6175) gives:
% 196.87/31.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 196.87/31.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6176) all_57_21 = e0 & ~ (all_57_23 = e1) & ~
% 196.87/31.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 196.87/31.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) & op(e1,
% 196.87/31.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0 & op(e1, e0) = all_57_23 & op(e0,
% 196.87/31.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25) = all_57_24 & op(e0, all_57_27) =
% 196.87/31.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e0, all_57_29) = all_57_28 & op(e0,
% 196.87/31.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_31) = all_57_30 & op(e0, e3) = all_57_25
% 196.87/31.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e2) = all_57_27 & op(e0, e1) = all_57_29
% 196.87/31.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_23) & $i(all_57_24) & $i(all_57_25) &
% 196.87/31.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_27) & $i(all_57_28) &
% 196.87/31.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29) & $i(all_57_30)
% 196.87/31.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6176) implies:
% 196.87/31.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6177) ~ (all_57_24 = e3)
% 196.87/31.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6178) op(e0, e3) = all_57_25
% 196.87/31.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6179) op(e0, all_57_25) = all_57_24
% 196.87/31.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (45), (112), (141),
% 196.87/31.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (158), (160), (162), (163), (164), (168), (193),
% 196.87/31.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (206), (209), (216), (222), (223), (224), (225),
% 196.87/31.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (226), (227), (228), (229), (231), (235), (238),
% 196.87/31.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (250), (259), (376), (5132), (5144), (5145),
% 196.87/31.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5197), (5198), (5200), (5204), (6027), (6028),
% 196.87/31.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6037), (6073), (6074), (6077), (6147), (6148),
% 196.87/31.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6151), (6154), (6177), (6178), (6179),
% 196.87/31.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 196.87/31.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #925.
% 196.87/31.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 196.87/31.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6180) all_57_31 = e3 & ~ (all_57_0 = e3) & ~ (all_57_2
% 196.87/31.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2) & ~ (all_57_4 = e1) & ~ (all_57_6 = e0)
% 196.87/31.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_25 = e0) & op(e3, all_57_1) =
% 196.87/31.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_0 & op(e3, all_57_3) = all_57_2 & op(e3,
% 196.87/31.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_5) = all_57_4 & op(e3, all_57_7) =
% 196.87/31.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_6 & op(e3, e3) = all_57_1 & op(e3, e2) =
% 196.87/31.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 & op(e3, e1) = all_57_5 & op(e3, e0) =
% 196.87/31.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7 & op(e0, e3) = all_57_25 & $i(all_57_0) &
% 196.87/31.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_2) & $i(all_57_3) &
% 196.87/31.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4) & $i(all_57_5) & $i(all_57_6) &
% 196.87/31.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7) & $i(all_57_25)
% 196.87/31.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6180) implies:
% 196.87/31.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6181) all_57_31 = e3
% 196.87/31.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6173), (6181) imply:
% 196.87/31.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6182) op(e0, e0) = e3
% 196.87/31.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (6028), (6182), (function-axioms) are
% 196.87/31.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1838.
% 196.87/31.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 196.87/31.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 196.87/31.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6183) (all_57_31 = e2 & ~ (all_57_8 = e3) & ~
% 196.87/31.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e2) & ~ (all_57_12 = e1) & ~
% 196.87/31.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e0) & ~ (all_57_27 = e0) & op(e2,
% 196.87/31.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_9) = all_57_8 & op(e2, all_57_11) =
% 196.87/31.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e2, all_57_13) = all_57_12 &
% 196.87/31.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_15) = all_57_14 & op(e2, e3) =
% 196.87/31.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_9 & op(e2, e2) = all_57_11 & op(e2, e1) =
% 196.87/31.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_13 & op(e2, e0) = all_57_15 & op(e0, e2)
% 196.87/31.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_27 & $i(all_57_8) & $i(all_57_9) &
% 196.87/31.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & $i(all_57_11) & $i(all_57_12) &
% 196.87/31.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13) & $i(all_57_14) & $i(all_57_15) &
% 196.87/31.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27)) | (all_57_31 = e1 & ~ (all_57_16
% 196.87/31.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_18 = e2) & ~ (all_57_20 =
% 196.87/31.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_22 = e0) & ~ (all_57_29 =
% 196.87/31.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & op(e1, all_57_17) = all_57_16 & op(e1,
% 196.87/31.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_19) = all_57_18 & op(e1, all_57_21) =
% 196.87/31.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20 & op(e1, all_57_23) = all_57_22 &
% 196.87/31.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_17 & op(e1, e2) = all_57_19
% 196.87/31.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = all_57_21 & op(e1, e0) =
% 196.87/31.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23 & op(e0, e1) = all_57_29 &
% 196.87/31.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_16) & $i(all_57_17) & $i(all_57_18) &
% 196.87/31.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_20) & $i(all_57_21) &
% 196.87/31.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_23) & $i(all_57_29))
% 196.87/31.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6077), (6148), (6183), (function-axioms) are
% 196.87/31.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #924.
% 196.87/31.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 196.87/31.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 196.87/31.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 196.87/31.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 196.87/31.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 196.87/31.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 196.87/31.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6184) all_56_3 = e3 & op(e2, e2) = e3
% 196.87/31.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6184) implies:
% 196.87/31.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6185) op(e2, e2) = e3
% 196.87/31.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (5204), (6185), (function-axioms) are
% 196.87/31.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1661.
% 196.87/31.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 196.87/31.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 196.87/31.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6186) (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 =
% 196.87/31.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e0) = e3)
% 196.87/31.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6186) gives:
% 196.87/31.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 196.87/31.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6187) all_56_5 = e3 & op(e2, e1) = e3
% 196.87/31.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (6032), (6187) are inconsistent by sub-proof
% 196.87/31.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #948.
% 196.87/31.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 196.87/31.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6188) all_56_10 = e3 & op(e2, e0) = e3
% 196.87/31.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6188) implies:
% 196.87/31.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6189) all_56_10 = e3
% 196.87/31.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (239) gives:
% 196.87/31.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 196.87/31.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6190) (all_57_1 = e2 & ~ (all_57_3 = e3) & ~ (all_57_8
% 196.87/31.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_10 = e2) & ~ (all_57_12 =
% 196.87/31.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_14 = e0) & op(e3, e3) = e2 &
% 196.87/31.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_3 & op(e2, all_57_9) =
% 196.87/31.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_8 & op(e2, all_57_11) = all_57_10 &
% 196.87/31.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_13) = all_57_12 & op(e2,
% 196.87/31.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15) = all_57_14 & op(e2, e3) = all_57_9
% 196.87/31.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = all_57_11 & op(e2, e1) =
% 196.87/31.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_13 & op(e2, e0) = all_57_15 &
% 196.87/31.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_3) & $i(all_57_8) & $i(all_57_9) &
% 196.87/31.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & $i(all_57_11) & $i(all_57_12) &
% 196.87/31.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13) & $i(all_57_14) & $i(all_57_15)) |
% 196.87/31.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e1 & ~ (all_57_5 = e3) & ~
% 196.87/31.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_16 = e3) & ~ (all_57_18 = e2) & ~
% 196.87/31.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_22 = e0) & op(e3,
% 196.87/31.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e1 & op(e3, e1) = all_57_5 & op(e1,
% 196.87/31.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17) = all_57_16 & op(e1, all_57_19) =
% 196.87/31.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_18 & op(e1, all_57_21) = all_57_20 &
% 196.87/31.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_23) = all_57_22 & op(e1, e3) =
% 196.87/31.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e1, e2) = all_57_19 & op(e1, e1)
% 196.87/31.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_21 & op(e1, e0) = all_57_23 &
% 196.87/31.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_16) & $i(all_57_17) &
% 196.87/31.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_19) & $i(all_57_20) &
% 196.87/31.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_22) & $i(all_57_23)) |
% 196.87/31.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e0 & ~ (all_57_7 = e3) & ~
% 196.87/31.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 196.87/31.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) & op(e3,
% 196.87/31.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e0 & op(e3, e0) = all_57_7 & op(e0,
% 196.87/31.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25) = all_57_24 & op(e0, all_57_27) =
% 196.87/31.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e0, all_57_29) = all_57_28 &
% 196.87/31.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_31) = all_57_30 & op(e0, e3) =
% 196.87/31.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_27 & op(e0, e1)
% 196.87/31.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_29 & op(e0, e0) = all_57_31 &
% 196.87/31.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7) & $i(all_57_24) & $i(all_57_25) &
% 196.87/31.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_27) & $i(all_57_28) &
% 196.87/31.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29) & $i(all_57_30) & $i(all_57_31)) |
% 196.87/31.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e3 & ~ (all_57_0 = e3) & ~
% 196.87/31.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e2) & ~ (all_57_4 = e1) & ~
% 196.87/31.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_6 = e0) & ~ (all_57_9 = e2) & op(e3,
% 196.87/31.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1) = all_57_0 & op(e3, all_57_3) =
% 196.87/31.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_2 & op(e3, all_57_5) = all_57_4 & op(e3,
% 196.87/31.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7) = all_57_6 & op(e3, e3) = all_57_1 &
% 196.87/31.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_3 & op(e3, e1) = all_57_5 &
% 196.87/31.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_7 & op(e2, e3) = all_57_9 &
% 196.87/31.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e3 & $i(all_57_0) & $i(all_57_1) &
% 196.87/31.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_2) & $i(all_57_3) & $i(all_57_4) &
% 196.87/31.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 196.87/31.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9))
% 196.87/31.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6190) gives:
% 196.87/31.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 196.87/31.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6191) (all_57_1 = e2 & ~ (all_57_3 = e3) & ~ (all_57_8
% 196.87/31.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_10 = e2) & ~ (all_57_12 =
% 196.87/31.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_14 = e0) & op(e3, e3) = e2 &
% 196.87/31.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_3 & op(e2, all_57_9) =
% 196.87/31.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_8 & op(e2, all_57_11) = all_57_10 &
% 196.87/31.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_13) = all_57_12 & op(e2,
% 196.87/31.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15) = all_57_14 & op(e2, e3) = all_57_9
% 196.87/31.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = all_57_11 & op(e2, e1) =
% 196.87/31.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_13 & op(e2, e0) = all_57_15 &
% 196.87/31.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_3) & $i(all_57_8) & $i(all_57_9) &
% 196.87/31.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & $i(all_57_11) & $i(all_57_12) &
% 196.87/31.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13) & $i(all_57_14) & $i(all_57_15)) |
% 196.87/31.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e1 & ~ (all_57_5 = e3) & ~
% 196.87/31.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_16 = e3) & ~ (all_57_18 = e2) & ~
% 196.87/31.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_22 = e0) & op(e3,
% 196.87/31.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e1 & op(e3, e1) = all_57_5 & op(e1,
% 196.87/31.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17) = all_57_16 & op(e1, all_57_19) =
% 196.87/31.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_18 & op(e1, all_57_21) = all_57_20 &
% 196.87/31.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_23) = all_57_22 & op(e1, e3) =
% 196.87/31.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e1, e2) = all_57_19 & op(e1, e1)
% 196.87/31.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_21 & op(e1, e0) = all_57_23 &
% 196.87/31.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_16) & $i(all_57_17) &
% 196.87/31.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_19) & $i(all_57_20) &
% 196.87/31.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_22) & $i(all_57_23))
% 196.87/31.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (5145), (6148), (6191), (function-axioms) are
% 196.87/31.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #942.
% 196.87/31.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 196.87/31.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6192) (all_57_1 = e0 & ~ (all_57_7 = e3) & ~
% 196.87/31.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 196.87/31.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) & op(e3,
% 196.87/31.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e0 & op(e3, e0) = all_57_7 & op(e0,
% 196.87/31.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25) = all_57_24 & op(e0, all_57_27) =
% 196.87/31.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e0, all_57_29) = all_57_28 &
% 196.87/31.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_31) = all_57_30 & op(e0, e3) =
% 196.87/31.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_27 & op(e0, e1)
% 196.87/31.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_29 & op(e0, e0) = all_57_31 &
% 196.87/31.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7) & $i(all_57_24) & $i(all_57_25) &
% 196.87/31.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_27) & $i(all_57_28) &
% 196.87/31.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29) & $i(all_57_30) & $i(all_57_31)) |
% 196.87/31.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e3 & ~ (all_57_0 = e3) & ~
% 196.87/31.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e2) & ~ (all_57_4 = e1) & ~
% 196.87/31.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_6 = e0) & ~ (all_57_9 = e2) & op(e3,
% 196.87/31.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1) = all_57_0 & op(e3, all_57_3) =
% 196.87/31.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_2 & op(e3, all_57_5) = all_57_4 & op(e3,
% 196.87/31.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7) = all_57_6 & op(e3, e3) = all_57_1 &
% 196.87/31.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_3 & op(e3, e1) = all_57_5 &
% 196.87/31.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_7 & op(e2, e3) = all_57_9 &
% 196.87/31.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e3 & $i(all_57_0) & $i(all_57_1) &
% 196.87/31.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_2) & $i(all_57_3) & $i(all_57_4) &
% 196.87/31.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 196.87/31.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9))
% 196.87/31.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (7), (5145), (5204), (6192),
% 196.87/31.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 196.87/31.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #930.
% 196.87/31.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 196.87/31.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 196.87/31.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6193) (all_57_11 = e1 & ~ (all_57_13 = e2) & ~
% 196.87/31.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_16 = e3) & ~ (all_57_18 = e2) & ~
% 196.87/31.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_22 = e0) & op(e2,
% 196.87/31.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e1 & op(e2, e1) = all_57_13 & op(e1,
% 196.87/31.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17) = all_57_16 & op(e1, all_57_19) =
% 196.87/31.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_18 & op(e1, all_57_21) = all_57_20 &
% 196.87/31.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_23) = all_57_22 & op(e1, e3) =
% 196.87/31.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e1, e2) = all_57_19 & op(e1, e1)
% 196.87/31.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_21 & op(e1, e0) = all_57_23 &
% 196.87/31.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13) & $i(all_57_16) & $i(all_57_17) &
% 196.87/31.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_19) & $i(all_57_20) &
% 196.87/31.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_22) & $i(all_57_23)) |
% 196.87/31.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e0 & ~ (all_57_15 = e2) & ~
% 196.87/31.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 196.87/31.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) & op(e2,
% 196.87/31.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e0 & op(e2, e0) = all_57_15 & op(e0,
% 196.87/31.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25) = all_57_24 & op(e0, all_57_27) =
% 196.87/31.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e0, all_57_29) = all_57_28 &
% 196.87/31.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_31) = all_57_30 & op(e0, e3) =
% 196.87/31.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_27 & op(e0, e1)
% 196.87/31.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_29 & op(e0, e0) = all_57_31 &
% 196.87/31.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & $i(all_57_24) & $i(all_57_25) &
% 196.87/31.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_27) & $i(all_57_28) &
% 196.87/31.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29) & $i(all_57_30) & $i(all_57_31)) |
% 196.87/31.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e3 & ~ (all_57_0 = e3) & ~
% 196.87/31.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e2) & ~ (all_57_4 = e1) & ~
% 196.87/31.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_6 = e0) & ~ (all_57_17 = e1) & op(e3,
% 196.87/31.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1) = all_57_0 & op(e3, all_57_3) =
% 196.87/31.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_2 & op(e3, all_57_5) = all_57_4 & op(e3,
% 196.87/31.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7) = all_57_6 & op(e3, e3) = all_57_1 &
% 196.87/31.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_3 & op(e3, e1) = all_57_5 &
% 196.87/31.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_7 & op(e1, e3) = all_57_17 &
% 196.87/31.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e3 & $i(all_57_0) & $i(all_57_1) &
% 196.87/31.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_2) & $i(all_57_3) & $i(all_57_4) &
% 196.87/31.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 196.87/31.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_17)) | (all_57_21 = e2 & ~ (all_57_8
% 196.87/31.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_10 = e2) & ~ (all_57_12 =
% 196.87/31.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_14 = e0) & ~ (all_57_19 =
% 196.87/31.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & op(e2, all_57_9) = all_57_8 & op(e2,
% 196.87/31.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_11) = all_57_10 & op(e2, all_57_13) =
% 196.87/31.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & op(e2, all_57_15) = all_57_14 &
% 196.87/31.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_9 & op(e2, e2) = all_57_11 &
% 196.87/31.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_57_13 & op(e2, e0) = all_57_15
% 196.87/31.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = all_57_19 & op(e1, e1) = e2 &
% 196.87/31.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8) & $i(all_57_9) & $i(all_57_10) &
% 196.87/31.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_12) & $i(all_57_13) &
% 196.87/31.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & $i(all_57_15) & $i(all_57_19)) |
% 196.87/31.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (op(e0, e0) = all_57_31 & $i(all_57_31) &
% 196.87/31.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_21 = e0 & ~ (all_57_23 = e1) & ~
% 196.87/31.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 196.87/31.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) &
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = all_57_23 &
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_25) = all_57_24 & op(e0,
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27) = all_57_26 & op(e0, all_57_29)
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_28 & op(e0, all_57_31) = all_57_30
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e3) = all_57_25 & op(e0, e2) =
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27 & op(e0, e1) = all_57_29 &
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23) & $i(all_57_24) &
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_25) & $i(all_57_26) &
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27) & $i(all_57_28) &
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29) & $i(all_57_30)) | (all_57_31
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & ~ (all_57_0 = e3) & ~ (all_57_2 =
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_4 = e1) & ~ (all_57_6 =
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_25 = e0) & op(e3,
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1) = all_57_0 & op(e3, all_57_3) =
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_2 & op(e3, all_57_5) = all_57_4 &
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, all_57_7) = all_57_6 & op(e3, e3) =
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e2) = all_57_3 & op(e3,
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_5 & op(e3, e0) = all_57_7 &
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_25 & $i(all_57_0) &
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_2) & $i(all_57_3) &
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4) & $i(all_57_5) & $i(all_57_6) &
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7) & $i(all_57_25)) | (all_57_31 =
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_8 = e3) & ~ (all_57_10 =
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_12 = e1) & ~ (all_57_14
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_27 = e0) & op(e2,
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_9) = all_57_8 & op(e2, all_57_11) =
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e2, all_57_13) = all_57_12 &
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_15) = all_57_14 & op(e2, e3) =
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_9 & op(e2, e2) = all_57_11 & op(e2,
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_13 & op(e2, e0) = all_57_15 &
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_27 & $i(all_57_8) &
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9) & $i(all_57_10) & $i(all_57_11)
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_12) & $i(all_57_13) &
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & $i(all_57_15) &
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27)) | (all_57_31 = e1 & ~
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_16 = e3) & ~ (all_57_18 = e2) & ~
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_22 = e0) & ~
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_29 = e0) & op(e1, all_57_17) =
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_16 & op(e1, all_57_19) = all_57_18 &
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_21) = all_57_20 & op(e1,
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23) = all_57_22 & op(e1, e3) =
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e1, e2) = all_57_19 & op(e1,
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_21 & op(e1, e0) = all_57_23 &
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = all_57_29 & $i(all_57_16) &
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_17) & $i(all_57_18) &
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_20) &
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_22) &
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23) & $i(all_57_29))))
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6193) gives:
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6194) (all_57_11 = e1 & ~ (all_57_13 = e2) & ~
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_16 = e3) & ~ (all_57_18 = e2) & ~
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_22 = e0) & op(e2,
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e1 & op(e2, e1) = all_57_13 & op(e1,
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17) = all_57_16 & op(e1, all_57_19) =
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_18 & op(e1, all_57_21) = all_57_20 &
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_23) = all_57_22 & op(e1, e3) =
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e1, e2) = all_57_19 & op(e1, e1)
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_21 & op(e1, e0) = all_57_23 &
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13) & $i(all_57_16) & $i(all_57_17) &
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_19) & $i(all_57_20) &
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_22) & $i(all_57_23)) |
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e0 & ~ (all_57_15 = e2) & ~
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) & op(e2,
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e0 & op(e2, e0) = all_57_15 & op(e0,
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25) = all_57_24 & op(e0, all_57_27) =
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e0, all_57_29) = all_57_28 &
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_31) = all_57_30 & op(e0, e3) =
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_27 & op(e0, e1)
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_29 & op(e0, e0) = all_57_31 &
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & $i(all_57_24) & $i(all_57_25) &
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_27) & $i(all_57_28) &
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29) & $i(all_57_30) & $i(all_57_31))
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (8), (9), (163), (222), (235), (5144),
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5204), (6032), (6147), (6189), (6194),
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #952.
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6195) (all_57_21 = e3 & ~ (all_57_0 = e3) & ~
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e2) & ~ (all_57_4 = e1) & ~
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_6 = e0) & ~ (all_57_17 = e1) & op(e3,
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1) = all_57_0 & op(e3, all_57_3) =
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_2 & op(e3, all_57_5) = all_57_4 & op(e3,
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7) = all_57_6 & op(e3, e3) = all_57_1 &
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_3 & op(e3, e1) = all_57_5 &
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_7 & op(e1, e3) = all_57_17 &
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e3 & $i(all_57_0) & $i(all_57_1) &
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_2) & $i(all_57_3) & $i(all_57_4) &
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_17)) | (all_57_21 = e2 & ~ (all_57_8
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_10 = e2) & ~ (all_57_12 =
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_14 = e0) & ~ (all_57_19 =
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & op(e2, all_57_9) = all_57_8 & op(e2,
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_11) = all_57_10 & op(e2, all_57_13) =
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & op(e2, all_57_15) = all_57_14 &
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_9 & op(e2, e2) = all_57_11 &
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_57_13 & op(e2, e0) = all_57_15
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = all_57_19 & op(e1, e1) = e2 &
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8) & $i(all_57_9) & $i(all_57_10) &
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_12) & $i(all_57_13) &
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & $i(all_57_15) & $i(all_57_19)) |
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (op(e0, e0) = all_57_31 & $i(all_57_31) &
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_21 = e0 & ~ (all_57_23 = e1) & ~
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) &
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = all_57_23 &
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_25) = all_57_24 & op(e0,
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27) = all_57_26 & op(e0, all_57_29)
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_28 & op(e0, all_57_31) = all_57_30
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e3) = all_57_25 & op(e0, e2) =
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27 & op(e0, e1) = all_57_29 &
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23) & $i(all_57_24) &
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_25) & $i(all_57_26) &
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27) & $i(all_57_28) &
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29) & $i(all_57_30)) | (all_57_31
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & ~ (all_57_0 = e3) & ~ (all_57_2 =
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_4 = e1) & ~ (all_57_6 =
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_25 = e0) & op(e3,
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1) = all_57_0 & op(e3, all_57_3) =
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_2 & op(e3, all_57_5) = all_57_4 &
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, all_57_7) = all_57_6 & op(e3, e3) =
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e2) = all_57_3 & op(e3,
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_5 & op(e3, e0) = all_57_7 &
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_25 & $i(all_57_0) &
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_2) & $i(all_57_3) &
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4) & $i(all_57_5) & $i(all_57_6) &
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7) & $i(all_57_25)) | (all_57_31 =
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_8 = e3) & ~ (all_57_10 =
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_12 = e1) & ~ (all_57_14
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_27 = e0) & op(e2,
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_9) = all_57_8 & op(e2, all_57_11) =
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e2, all_57_13) = all_57_12 &
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_15) = all_57_14 & op(e2, e3) =
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_9 & op(e2, e2) = all_57_11 & op(e2,
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_13 & op(e2, e0) = all_57_15 &
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_27 & $i(all_57_8) &
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9) & $i(all_57_10) & $i(all_57_11)
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_12) & $i(all_57_13) &
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & $i(all_57_15) &
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27)) | (all_57_31 = e1 & ~
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_16 = e3) & ~ (all_57_18 = e2) & ~
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_22 = e0) & ~
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_29 = e0) & op(e1, all_57_17) =
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_16 & op(e1, all_57_19) = all_57_18 &
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_21) = all_57_20 & op(e1,
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23) = all_57_22 & op(e1, e3) =
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e1, e2) = all_57_19 & op(e1,
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_21 & op(e1, e0) = all_57_23 &
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = all_57_29 & $i(all_57_16) &
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_17) & $i(all_57_18) &
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_20) &
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_22) &
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23) & $i(all_57_29))))
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6195) gives:
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6196) all_57_21 = e3 & ~ (all_57_0 = e3) & ~ (all_57_2
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2) & ~ (all_57_4 = e1) & ~ (all_57_6 = e0)
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_17 = e1) & op(e3, all_57_1) =
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_0 & op(e3, all_57_3) = all_57_2 & op(e3,
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_5) = all_57_4 & op(e3, all_57_7) =
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_6 & op(e3, e3) = all_57_1 & op(e3, e2) =
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 & op(e3, e1) = all_57_5 & op(e3, e0) =
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7 & op(e1, e3) = all_57_17 & op(e1, e1) =
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & $i(all_57_0) & $i(all_57_1) & $i(all_57_2) &
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_3) & $i(all_57_4) & $i(all_57_5) &
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_6) & $i(all_57_7) & $i(all_57_17)
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6196) implies:
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6197) op(e1, e1) = e3
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (6077), (6197), (function-axioms) are
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1958.
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6198) (all_57_21 = e2 & ~ (all_57_8 = e3) & ~
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e2) & ~ (all_57_12 = e1) & ~
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e0) & ~ (all_57_19 = e1) & op(e2,
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_9) = all_57_8 & op(e2, all_57_11) =
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e2, all_57_13) = all_57_12 &
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_15) = all_57_14 & op(e2, e3) =
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_9 & op(e2, e2) = all_57_11 & op(e2, e1) =
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_13 & op(e2, e0) = all_57_15 & op(e1, e2)
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_19 & op(e1, e1) = e2 & $i(all_57_8) &
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9) & $i(all_57_10) & $i(all_57_11) &
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & $i(all_57_13) & $i(all_57_14) &
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & $i(all_57_19)) | (op(e0, e0) =
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_31 & $i(all_57_31) & ((all_57_21 = e0 &
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_23 = e1) & ~ (all_57_24 = e3) &
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_26 = e2) & ~ (all_57_28 = e1) &
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_30 = e0) & op(e1, e1) = e0 &
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_23 & op(e0, all_57_25) =
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_24 & op(e0, all_57_27) = all_57_26 &
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_29) = all_57_28 & op(e0,
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_31) = all_57_30 & op(e0, e3) =
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_27 & op(e0,
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_29 & $i(all_57_23) &
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_24) & $i(all_57_25) &
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_27) &
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28) & $i(all_57_29) &
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_31 = e3 & ~
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_0 = e3) & ~ (all_57_2 = e2) & ~
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1) & ~ (all_57_6 = e0) & ~
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_25 = e0) & op(e3, all_57_1) =
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_0 & op(e3, all_57_3) = all_57_2 &
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, all_57_5) = all_57_4 & op(e3,
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7) = all_57_6 & op(e3, e3) =
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e2) = all_57_3 & op(e3,
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_5 & op(e3, e0) = all_57_7 &
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_25 & $i(all_57_0) &
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_2) & $i(all_57_3) &
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4) & $i(all_57_5) & $i(all_57_6) &
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7) & $i(all_57_25)) | (all_57_31 =
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_8 = e3) & ~ (all_57_10 =
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_12 = e1) & ~ (all_57_14
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_27 = e0) & op(e2,
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_9) = all_57_8 & op(e2, all_57_11) =
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e2, all_57_13) = all_57_12 &
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_15) = all_57_14 & op(e2, e3) =
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_9 & op(e2, e2) = all_57_11 & op(e2,
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_13 & op(e2, e0) = all_57_15 &
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_27 & $i(all_57_8) &
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9) & $i(all_57_10) & $i(all_57_11)
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_12) & $i(all_57_13) &
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & $i(all_57_15) &
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27)) | (all_57_31 = e1 & ~
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_16 = e3) & ~ (all_57_18 = e2) & ~
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_22 = e0) & ~
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_29 = e0) & op(e1, all_57_17) =
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_16 & op(e1, all_57_19) = all_57_18 &
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_21) = all_57_20 & op(e1,
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23) = all_57_22 & op(e1, e3) =
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e1, e2) = all_57_19 & op(e1,
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_21 & op(e1, e0) = all_57_23 &
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = all_57_29 & $i(all_57_16) &
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_17) & $i(all_57_18) &
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_20) &
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_22) &
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23) & $i(all_57_29))))
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6198) gives:
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6199) all_57_21 = e2 & ~ (all_57_8 = e3) & ~
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e2) & ~ (all_57_12 = e1) & ~
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e0) & ~ (all_57_19 = e1) & op(e2,
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_9) = all_57_8 & op(e2, all_57_11) =
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e2, all_57_13) = all_57_12 & op(e2,
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15) = all_57_14 & op(e2, e3) = all_57_9 &
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_11 & op(e2, e1) = all_57_13 &
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_15 & op(e1, e2) = all_57_19 &
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e2 & $i(all_57_8) & $i(all_57_9) &
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & $i(all_57_11) & $i(all_57_12) &
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13) & $i(all_57_14) & $i(all_57_15) &
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19)
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6199) implies:
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6200) op(e1, e1) = e2
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (6077), (6200), (function-axioms) are
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1957.
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6201) op(e0, e0) = all_57_31 & $i(all_57_31) &
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_21 = e0 & ~ (all_57_23 = e1) & ~
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) &
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = all_57_23 &
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_25) = all_57_24 & op(e0,
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27) = all_57_26 & op(e0, all_57_29) =
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_28 & op(e0, all_57_31) = all_57_30 &
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_25 & op(e0, e2) =
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27 & op(e0, e1) = all_57_29 &
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23) & $i(all_57_24) & $i(all_57_25)
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_26) & $i(all_57_27) &
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28) & $i(all_57_29) & $i(all_57_30))
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e3 & ~ (all_57_0 = e3) & ~
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e2) & ~ (all_57_4 = e1) & ~
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_6 = e0) & ~ (all_57_25 = e0) & op(e3,
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1) = all_57_0 & op(e3, all_57_3) =
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_2 & op(e3, all_57_5) = all_57_4 &
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, all_57_7) = all_57_6 & op(e3, e3) =
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e2) = all_57_3 & op(e3, e1)
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_5 & op(e3, e0) = all_57_7 & op(e0,
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_25 & $i(all_57_0) &
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_2) & $i(all_57_3) &
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4) & $i(all_57_5) & $i(all_57_6) &
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7) & $i(all_57_25)) | (all_57_31 =
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_8 = e3) & ~ (all_57_10 = e2)
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_12 = e1) & ~ (all_57_14 = e0) &
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_27 = e0) & op(e2, all_57_9) =
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_8 & op(e2, all_57_11) = all_57_10 &
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_13) = all_57_12 & op(e2,
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15) = all_57_14 & op(e2, e3) =
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_9 & op(e2, e2) = all_57_11 & op(e2, e1)
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_13 & op(e2, e0) = all_57_15 & op(e0,
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_27 & $i(all_57_8) &
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9) & $i(all_57_10) & $i(all_57_11) &
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & $i(all_57_13) & $i(all_57_14)
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_15) & $i(all_57_27)) | (all_57_31
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_16 = e3) & ~ (all_57_18 =
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_20 = e1) & ~ (all_57_22 =
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_29 = e0) & op(e1,
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17) = all_57_16 & op(e1, all_57_19) =
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_18 & op(e1, all_57_21) = all_57_20 &
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_23) = all_57_22 & op(e1, e3) =
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e1, e2) = all_57_19 & op(e1,
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_21 & op(e1, e0) = all_57_23 &
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = all_57_29 & $i(all_57_16) &
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_17) & $i(all_57_18) & $i(all_57_19)
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_20) & $i(all_57_21) &
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_23) &
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29)))
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6201) implies:
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6202) op(e0, e0) = all_57_31
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6203) (all_57_21 = e0 & ~ (all_57_23 = e1) & ~
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) & op(e1,
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0 & op(e1, e0) = all_57_23 & op(e0,
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25) = all_57_24 & op(e0, all_57_27) =
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e0, all_57_29) = all_57_28 &
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_31) = all_57_30 & op(e0, e3) =
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_27 & op(e0, e1)
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_29 & $i(all_57_23) & $i(all_57_24) &
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_25) & $i(all_57_26) & $i(all_57_27) &
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28) & $i(all_57_29) & $i(all_57_30)) |
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e3 & ~ (all_57_0 = e3) & ~
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e2) & ~ (all_57_4 = e1) & ~
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_6 = e0) & ~ (all_57_25 = e0) & op(e3,
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1) = all_57_0 & op(e3, all_57_3) =
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_2 & op(e3, all_57_5) = all_57_4 & op(e3,
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7) = all_57_6 & op(e3, e3) = all_57_1 &
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_3 & op(e3, e1) = all_57_5 &
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_7 & op(e0, e3) = all_57_25 &
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_0) & $i(all_57_1) & $i(all_57_2) &
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_3) & $i(all_57_4) & $i(all_57_5) &
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_6) & $i(all_57_7) & $i(all_57_25)) |
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e2 & ~ (all_57_8 = e3) & ~
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e2) & ~ (all_57_12 = e1) & ~
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e0) & ~ (all_57_27 = e0) & op(e2,
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_9) = all_57_8 & op(e2, all_57_11) =
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e2, all_57_13) = all_57_12 &
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_15) = all_57_14 & op(e2, e3) =
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_9 & op(e2, e2) = all_57_11 & op(e2, e1) =
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_13 & op(e2, e0) = all_57_15 & op(e0, e2)
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_27 & $i(all_57_8) & $i(all_57_9) &
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & $i(all_57_11) & $i(all_57_12) &
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13) & $i(all_57_14) & $i(all_57_15) &
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27)) | (all_57_31 = e1 & ~ (all_57_16
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_18 = e2) & ~ (all_57_20 =
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_22 = e0) & ~ (all_57_29 =
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & op(e1, all_57_17) = all_57_16 & op(e1,
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_19) = all_57_18 & op(e1, all_57_21) =
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20 & op(e1, all_57_23) = all_57_22 &
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_17 & op(e1, e2) = all_57_19
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = all_57_21 & op(e1, e0) =
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23 & op(e0, e1) = all_57_29 &
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_16) & $i(all_57_17) & $i(all_57_18) &
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_20) & $i(all_57_21) &
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_23) & $i(all_57_29))
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6203) gives:
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6204) (all_57_21 = e0 & ~ (all_57_23 = e1) & ~
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) & op(e1,
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0 & op(e1, e0) = all_57_23 & op(e0,
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25) = all_57_24 & op(e0, all_57_27) =
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e0, all_57_29) = all_57_28 &
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_31) = all_57_30 & op(e0, e3) =
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_27 & op(e0, e1)
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_29 & $i(all_57_23) & $i(all_57_24) &
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_25) & $i(all_57_26) & $i(all_57_27) &
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28) & $i(all_57_29) & $i(all_57_30)) |
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e3 & ~ (all_57_0 = e3) & ~
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e2) & ~ (all_57_4 = e1) & ~
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_6 = e0) & ~ (all_57_25 = e0) & op(e3,
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1) = all_57_0 & op(e3, all_57_3) =
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_2 & op(e3, all_57_5) = all_57_4 & op(e3,
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7) = all_57_6 & op(e3, e3) = all_57_1 &
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_3 & op(e3, e1) = all_57_5 &
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_7 & op(e0, e3) = all_57_25 &
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_0) & $i(all_57_1) & $i(all_57_2) &
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_3) & $i(all_57_4) & $i(all_57_5) &
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_6) & $i(all_57_7) & $i(all_57_25))
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (160), (206), (210),
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (211), (6027), (6077), (6189), (6202), (6204),
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #923.
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6205) (all_57_31 = e2 & ~ (all_57_8 = e3) & ~
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e2) & ~ (all_57_12 = e1) & ~
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e0) & ~ (all_57_27 = e0) & op(e2,
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_9) = all_57_8 & op(e2, all_57_11) =
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e2, all_57_13) = all_57_12 &
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_15) = all_57_14 & op(e2, e3) =
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_9 & op(e2, e2) = all_57_11 & op(e2, e1) =
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_13 & op(e2, e0) = all_57_15 & op(e0, e2)
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_27 & $i(all_57_8) & $i(all_57_9) &
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & $i(all_57_11) & $i(all_57_12) &
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13) & $i(all_57_14) & $i(all_57_15) &
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27)) | (all_57_31 = e1 & ~ (all_57_16
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_18 = e2) & ~ (all_57_20 =
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_22 = e0) & ~ (all_57_29 =
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & op(e1, all_57_17) = all_57_16 & op(e1,
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_19) = all_57_18 & op(e1, all_57_21) =
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20 & op(e1, all_57_23) = all_57_22 &
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_17 & op(e1, e2) = all_57_19
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = all_57_21 & op(e1, e0) =
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23 & op(e0, e1) = all_57_29 &
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_16) & $i(all_57_17) & $i(all_57_18) &
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_20) & $i(all_57_21) &
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_23) & $i(all_57_29))
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6077), (6148), (6205), (function-axioms) are
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #924.
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6206) all_54_4 = e2 | all_54_4 = e1 | all_54_4 = e0
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6206) gives:
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6207) all_54_4 = e2
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5150), (5160), (6207) are inconsistent by
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #983.
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6208) all_54_4 = e1 | all_54_4 = e0
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6208) gives:
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6209) all_54_4 = e1
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5150), (6143), (6209) are inconsistent by
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #982.
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6210) all_54_4 = e0
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5150), (5201), (6210) are inconsistent by
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #981.
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | (6211) all_54_7 = e0
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6048), (6061), (6211) are inconsistent by
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1357.
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | | | | | (6212) all_54_10 = e0
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (335), (372), (6212) are inconsistent by sub-proof
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | | | | | #1950.
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | | | End of split
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | | End of split
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | Case 2:
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | | (6213) all_32_2 = e3
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | | (6214) op(e3, e1) = all_32_1 & $i(all_32_1) & ( ~
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | | (all_32_1 = e0) | ( ~ (all_32_0 = e2) & op(e0,
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | | e3) = all_32_0 & $i(all_32_0)))
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | | ALPHA: (6214) implies:
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | | (6215) op(e3, e1) = all_32_1
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (301), (6213) imply:
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | | (6216) all_4_2 = e3
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | | SIMP: (6216) implies:
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | | (6217) all_4_2 = e3
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | | REDUCE: (349), (6217) imply:
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | | (6218) ~ (all_52_2 = e3)
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | | REDUCE: (362), (6217) imply:
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | | (6219) ~ (all_52_8 = e3)
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | | REDUCE: (365), (6217) imply:
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | | (6220) ~ (all_52_11 = e3)
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | | REDUCE: (367), (6217) imply:
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | | (6221) ~ (all_52_14 = e3)
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (216) gives:
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | | | (6222) (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_7 = e3
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e3)
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6222) gives:
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | | | | (6223) all_56_6 = e3 & op(e1, e3) = e3
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (163), (6218), (6223), (function-axioms) are
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1396.
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | | | | (6224) all_56_7 = e3 & op(e1, e2) = e3
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6224) implies:
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | | | | (6225) all_56_7 = e3
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (6037), (6225) are inconsistent by sub-proof
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | | | | #1505.
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | | | End of split
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | | | (6226) (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_11 =
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | | | e3 & op(e1, e0) = e3)
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6226) gives:
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | | | | (6227) all_56_8 = e3 & op(e1, e1) = e3
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6227) implies:
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | | | | (6228) all_56_8 = e3
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | | | | (6229) op(e1, e1) = e3
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_8,
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | | | | all_32_1, e1, e3, simplifying with (169), (6215)
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | | | | gives:
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | | | | (6230) all_52_8 = all_32_1
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (271), (6230) imply:
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | | | | (6231) all_54_2 = all_32_1
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (134), (6230) imply:
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | | | | (6232) ~ (all_52_4 = all_32_1)
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (121), (6230) imply:
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | | | | (6233) ~ (all_52_11 = all_32_1)
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6233) implies:
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | | | | (6234) ~ (all_52_11 = all_32_1)
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (120), (6230) imply:
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | | | | (6235) ~ (all_52_12 = all_32_1)
% 196.87/31.31 | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.32 | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6235) implies:
% 196.87/31.32 | | | | | | | | | | | | | | | | | | | | | | | (6236) ~ (all_52_12 = all_32_1)
% 196.87/31.32 | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.32 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6219), (6230) imply:
% 196.87/31.32 | | | | | | | | | | | | | | | | | | | | | | | (6237) ~ (all_32_1 = e3)
% 196.87/31.32 | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.32 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5135), (6230) imply:
% 196.87/31.32 | | | | | | | | | | | | | | | | | | | | | | | (6238) ~ (all_32_1 = e2)
% 196.87/31.32 | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.32 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (191) gives:
% 196.87/31.32 | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.32 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 196.87/31.32 | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.32 | | | | | | | | | | | | | | | | | | | | | | | | (6239) all_54_13 = e3
% 196.87/31.32 | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.32 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5219), (6239) imply:
% 196.87/31.32 | | | | | | | | | | | | | | | | | | | | | | | | (6240) all_20_1 = e3
% 196.87/31.32 | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.32 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5221), (6240) imply:
% 196.87/31.32 | | | | | | | | | | | | | | | | | | | | | | | | (6241) ~ (all_52_4 = e3)
% 196.87/31.32 | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.32 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (226) gives:
% 196.87/31.32 | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.32 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 196.87/31.32 | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | (6242) (all_56_1 = e1 & op(e3, e2) = e1) | (all_56_3 = e1
% 196.87/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1)
% 196.87/31.32 | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6242) gives:
% 196.87/31.32 | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 196.87/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | (6243) all_56_1 = e1 & op(e3, e2) = e1
% 196.87/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6243) implies:
% 196.87/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | (6244) all_56_1 = e1
% 196.87/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (203) gives:
% 196.87/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 196.87/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | (6245) all_54_1 = e3
% 196.87/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (272), (6245) imply:
% 196.87/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | (6246) all_52_4 = e3
% 196.87/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6241), (6246) imply:
% 196.87/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | (6247) $false
% 196.87/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (6247) is inconsistent.
% 196.87/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 196.87/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | (6248) ~ (all_54_1 = e3)
% 196.87/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | (6249) all_54_1 = e2 | all_54_1 = e1 | all_54_1 = e0
% 196.87/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6249) gives:
% 196.87/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 196.87/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 196.87/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6250) all_54_1 = e2
% 197.22/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (272), (6250) imply:
% 197.22/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6251) all_52_4 = e2
% 197.22/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5134), (6251) imply:
% 197.22/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6252) $false
% 197.22/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (6252) is inconsistent.
% 197.22/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.22/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6253) ~ (all_54_1 = e2)
% 197.22/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6254) all_54_1 = e1 | all_54_1 = e0
% 197.22/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6254) gives:
% 197.22/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.22/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6255) all_54_1 = e1
% 197.22/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (272), (6255) imply:
% 197.22/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6256) all_52_4 = e1
% 197.22/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6232), (6256) imply:
% 197.22/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6257) ~ (all_32_1 = e1)
% 197.22/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6257) implies:
% 197.22/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6258) ~ (all_32_1 = e1)
% 197.22/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6241), (6256) imply:
% 197.22/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6259) ~ (e3 = e1)
% 197.22/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5134), (6256) imply:
% 197.22/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6260) ~ (e2 = e1)
% 197.22/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (202) gives:
% 197.22/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.22/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6261) all_54_2 = e3
% 197.22/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (6231), (6261) imply:
% 197.22/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6262) all_32_1 = e3
% 197.22/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6237), (6262) imply:
% 197.22/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6263) $false
% 197.22/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (6263) is inconsistent.
% 197.22/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.22/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6264) all_54_2 = e2 | all_54_2 = e1 | all_54_2 = e0
% 197.22/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6264) gives:
% 197.22/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.22/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6265) all_54_2 = e2
% 197.22/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (6231), (6265) imply:
% 197.22/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6266) all_32_1 = e2
% 197.22/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6238), (6266) imply:
% 197.22/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6267) $false
% 197.22/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (6267) is inconsistent.
% 197.22/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.22/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6268) ~ (all_54_2 = e2)
% 197.22/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6269) all_54_2 = e1 | all_54_2 = e0
% 197.22/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (218) gives:
% 197.22/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.22/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6270) (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_5 = e1
% 197.22/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e1)
% 197.22/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6270) gives:
% 197.22/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.22/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6271) all_56_4 = e1 & op(e3, e1) = e1
% 197.22/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6271) implies:
% 197.22/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6272) all_56_4 = e1
% 197.22/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (217) gives:
% 197.22/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.22/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6273) (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_5 = e0
% 197.22/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e0)
% 197.22/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (158), (162), (222),
% 197.22/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (223), (224), (225), (226), (227), (228), (5197),
% 197.22/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5198), (5204), (6272), (6273), (function-axioms)
% 197.22/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1011.
% 197.22/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.22/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6274) (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_14 =
% 197.22/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0)
% 197.22/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (157), (6229), (6231), (6234), (6258),
% 197.22/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6269), (6274), (function-axioms) are inconsistent
% 197.22/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1592.
% 197.22/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.22/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.22/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6275) all_56_5 = e1 & op(e2, e1) = e1
% 197.22/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (6032), (6275) are inconsistent by sub-proof
% 197.22/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1495.
% 197.22/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.22/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.22/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6276) (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_14 =
% 197.22/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e1) = e1)
% 197.22/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6276) gives:
% 197.22/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.22/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6277) all_56_8 = e1 & op(e1, e1) = e1
% 197.22/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6277) implies:
% 197.22/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6278) op(e1, e1) = e1
% 197.22/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (6229), (6278), (function-axioms) are
% 197.22/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1958.
% 197.22/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.22/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6279) all_56_14 = e1 & op(e0, e1) = e1
% 197.22/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6279) implies:
% 197.22/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6280) op(e0, e1) = e1
% 197.22/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6269) gives:
% 197.22/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.22/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6281) all_54_2 = e1
% 197.22/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6231), (6258), (6281) are inconsistent by
% 197.22/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1594.
% 197.22/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.22/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6282) all_54_2 = e0
% 197.22/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (6231), (6282) imply:
% 197.22/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6283) all_32_1 = e0
% 197.22/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6283) implies:
% 197.22/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6284) all_32_1 = e0
% 197.22/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6236), (6284) imply:
% 197.22/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6285) ~ (all_52_12 = e0)
% 197.22/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6238), (6284) imply:
% 197.22/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6286) ~ (e2 = e0)
% 197.22/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (201) gives:
% 197.22/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.22/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6287) all_54_3 = e3
% 197.22/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (270), (6287) imply:
% 197.22/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6288) all_52_12 = e3
% 197.22/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6288) implies:
% 197.22/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6289) all_52_12 = e3
% 197.22/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (112), (6289) imply:
% 197.22/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6290) ~ (all_52_14 = e3)
% 197.22/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6056), (6289) imply:
% 197.22/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6291) ~ (all_30_1 = e3)
% 197.22/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6291) implies:
% 197.22/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6292) ~ (all_30_1 = e3)
% 197.22/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (197) gives:
% 197.22/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.22/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6293) all_54_7 = e3
% 197.22/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6048), (6292), (6293) are inconsistent by
% 197.22/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1228.
% 197.22/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.22/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6294) ~ (all_54_7 = e3)
% 197.22/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6295) all_54_7 = e2 | all_54_7 = e1 | all_54_7 = e0
% 197.22/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (228) gives:
% 197.22/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.22/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6296) (all_56_1 = e3 & op(e3, e2) = e3) | (all_56_3 = e3
% 197.22/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e3)
% 197.22/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (170), (5204), (6241), (6296),
% 197.22/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 197.22/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1351.
% 197.22/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.22/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6297) (all_56_7 = e3 & op(e1, e2) = e3) | (all_56_13 =
% 197.22/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e2) = e3)
% 197.22/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6297) gives:
% 197.22/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.22/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6298) all_56_7 = e3 & op(e1, e2) = e3
% 197.22/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6298) implies:
% 197.22/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6299) all_56_7 = e3
% 197.22/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (6037), (6299) are inconsistent by sub-proof
% 197.22/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1505.
% 197.22/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.22/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6300) all_56_13 = e3 & op(e0, e2) = e3
% 197.22/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6300) implies:
% 197.22/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6301) all_56_13 = e3
% 197.22/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6295) gives:
% 197.22/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.22/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6302) all_54_7 = e2
% 197.22/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6048), (6060), (6302) are inconsistent by
% 197.22/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1359.
% 197.22/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.22/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6303) ~ (all_54_7 = e2)
% 197.22/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6304) all_54_7 = e1 | all_54_7 = e0
% 197.22/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6304) gives:
% 197.22/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.22/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6305) all_54_7 = e1
% 197.22/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (6048), (6305) imply:
% 197.22/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6306) all_30_1 = e1
% 197.22/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6306) implies:
% 197.22/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6307) all_30_1 = e1
% 197.22/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6058), (6307) imply:
% 197.22/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6308) ~ (all_52_14 = e1)
% 197.22/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (224) gives:
% 197.22/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.22/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6309) (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3
% 197.22/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e3)
% 197.22/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6309) gives:
% 197.22/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.22/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6310) all_56_2 = e3 & op(e2, e3) = e3
% 197.22/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (45), (157), (158),
% 197.22/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (160), (162), (169), (170), (193), (206), (209),
% 197.22/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (212), (214), (220), (222), (223), (224), (225),
% 197.22/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (226), (227), (228), (229), (239), (250), (376),
% 197.22/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5145), (5197), (5198), (5204), (6027), (6028),
% 197.22/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6032), (6037), (6219), (6220), (6221), (6229),
% 197.22/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6241), (6244), (6280), (6301), (6308), (6310),
% 197.22/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 197.22/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #918.
% 197.22/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.22/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6311) all_56_3 = e3 & op(e2, e2) = e3
% 197.22/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6311) implies:
% 197.22/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6312) op(e2, e2) = e3
% 197.22/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (225), (226), (227),
% 197.22/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6301), (6312), (function-axioms) are inconsistent
% 197.22/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1660.
% 197.22/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.22/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.22/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6313) (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 =
% 197.22/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e0) = e3)
% 197.22/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6313) gives:
% 197.22/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.22/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6314) all_56_5 = e3 & op(e2, e1) = e3
% 197.22/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6314) implies:
% 197.22/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6315) all_56_5 = e3
% 197.22/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (6032), (6315) are inconsistent by sub-proof
% 197.22/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1333.
% 197.22/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.22/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6316) all_56_10 = e3 & op(e2, e0) = e3
% 197.22/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6316) implies:
% 197.22/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6317) all_56_10 = e3
% 197.22/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (214) gives:
% 197.22/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.22/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6318) (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_7 = e1
% 197.22/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e1)
% 197.22/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6318) gives:
% 197.22/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.22/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6319) all_56_6 = e1 & op(e1, e3) = e1
% 197.22/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6319) implies:
% 197.22/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6320) all_56_6 = e1
% 197.22/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (213) gives:
% 197.22/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.22/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6321) (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_7 = e0
% 197.22/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e0)
% 197.22/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6321) gives:
% 197.22/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.22/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6322) all_56_6 = e0 & op(e1, e3) = e0
% 197.22/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6322) implies:
% 197.22/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6323) all_56_6 = e0
% 197.22/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (6320), (6323) imply:
% 197.22/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6324) e1 = e0
% 197.22/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (6244), (6324) imply:
% 197.22/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6325) all_56_1 = e0
% 197.22/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (8), (226), (5204), (6037), (6301),
% 197.22/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6325), (function-axioms) are inconsistent by
% 197.22/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1503.
% 197.22/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.22/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6326) all_56_7 = e0 & op(e1, e2) = e0
% 197.22/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6326) implies:
% 197.22/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6327) op(e1, e2) = e0
% 197.22/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (162), (5197), (6327), (function-axioms) are
% 197.22/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1488.
% 197.22/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.22/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.22/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6328) (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_11 =
% 197.22/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e1, e0) = e0)
% 197.22/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6328) gives:
% 197.22/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.22/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6329) all_56_8 = e0 & op(e1, e1) = e0
% 197.22/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6329) implies:
% 197.22/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6330) op(e1, e1) = e0
% 197.22/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (6229), (6330), (function-axioms) are
% 197.22/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1918.
% 197.22/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.22/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6331) all_56_11 = e0 & op(e1, e0) = e0
% 197.22/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6331) implies:
% 197.22/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6332) all_56_11 = e0
% 197.22/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6333) op(e1, e0) = e0
% 197.22/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (235) gives:
% 197.22/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.22/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6334) (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_2 = e3
% 197.22/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e3)
% 197.22/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6334) gives:
% 197.22/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.22/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6335) all_56_0 = e3 & op(e3, e3) = e3
% 197.22/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (5144), (6335) are inconsistent by sub-proof
% 197.22/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1645.
% 197.22/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.22/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6336) all_56_2 = e3 & op(e2, e3) = e3
% 197.22/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (45), (157), (158),
% 197.22/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (160), (162), (169), (170), (193), (206), (209),
% 197.22/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (212), (214), (220), (222), (223), (224), (225),
% 197.22/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (226), (227), (228), (229), (239), (250), (376),
% 197.22/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5145), (5197), (5198), (5204), (6027), (6028),
% 197.22/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6032), (6037), (6219), (6220), (6221), (6229),
% 197.22/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6241), (6244), (6280), (6301), (6308), (6336),
% 197.22/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 197.22/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #918.
% 197.22/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.22/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.22/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6337) (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_12 =
% 197.22/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e3) = e3)
% 197.22/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6337) gives:
% 197.22/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.22/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6338) all_56_6 = e3 & op(e1, e3) = e3
% 197.22/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6338) implies:
% 197.22/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6339) all_56_6 = e3
% 197.22/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6340) op(e1, e3) = e3
% 197.22/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (8), (9), (214), (215), (6228),
% 197.22/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6229), (6332), (6333), (6339), (6340),
% 197.22/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 197.22/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1313.
% 197.22/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.22/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6341) all_56_12 = e3 & op(e0, e3) = e3
% 197.22/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6341) implies:
% 197.22/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6342) all_56_12 = e3
% 197.22/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (229) gives:
% 197.22/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.22/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6343) (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0
% 197.22/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e0)
% 197.22/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6343) gives:
% 197.22/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.22/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6344) all_56_0 = e0 & op(e3, e3) = e0
% 197.22/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6344) implies:
% 197.22/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6345) op(e3, e3) = e0
% 197.22/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (5145), (6345), (function-axioms) are
% 197.22/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1964.
% 197.22/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.22/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6346) all_56_2 = e0 & op(e2, e3) = e0
% 197.22/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6346) implies:
% 197.22/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6347) all_56_2 = e0
% 197.22/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (158), (162), (222),
% 197.22/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (223), (224), (225), (226), (227), (228), (5197),
% 197.22/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5198), (5204), (6317), (6347), (function-axioms)
% 197.22/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1486.
% 197.22/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.22/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.22/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6348) (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 =
% 197.22/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e3) = e0)
% 197.22/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6348) gives:
% 197.22/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.22/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6349) all_56_6 = e0 & op(e1, e3) = e0
% 197.22/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (8), (226), (5204), (6037), (6244),
% 197.22/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6301), (6320), (6349), (function-axioms) are
% 197.22/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #920.
% 197.22/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.22/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6350) all_56_12 = e0 & op(e0, e3) = e0
% 197.22/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6350) implies:
% 197.22/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6351) all_56_12 = e0
% 197.22/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (6342), (6351) are inconsistent by sub-proof
% 197.22/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1448.
% 197.22/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.22/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.22/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.22/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.22/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.22/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.22/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.22/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6352) all_56_7 = e1 & op(e1, e2) = e1
% 197.22/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (6037), (6352) are inconsistent by sub-proof
% 197.22/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1579.
% 197.22/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.22/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.22/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6353) (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_11 =
% 197.22/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e1, e0) = e1)
% 197.22/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (160), (6229), (6308), (6353),
% 197.22/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 197.22/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1425.
% 197.22/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.22/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.22/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.22/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.22/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6354) all_54_7 = e0
% 197.22/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6048), (6061), (6354) are inconsistent by
% 197.22/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1357.
% 197.22/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.22/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.22/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.22/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.22/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.22/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.22/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6355) ~ (all_54_3 = e3)
% 197.22/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (270), (6355) imply:
% 197.22/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6356) ~ (all_52_12 = e3)
% 197.22/31.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (168), (169), (170), (236), (5144), (6219),
% 197.22/31.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6241), (6356), (function-axioms) are inconsistent
% 197.22/31.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1459.
% 197.22/31.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.22/31.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.22/31.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.22/31.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.22/31.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.22/31.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.22/31.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.22/31.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6357) all_54_1 = e0
% 197.22/31.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (272), (6357) imply:
% 197.22/31.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6358) all_52_4 = e0
% 197.22/31.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5196), (6358) imply:
% 197.22/31.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6359) $false
% 197.22/31.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (6359) is inconsistent.
% 197.22/31.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.22/31.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.22/31.33 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.33 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.22/31.33 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.33 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.22/31.33 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.33 | | | | | | | | | | | | | | | | | | | | | | | | | | (6360) all_56_3 = e1 & op(e2, e2) = e1
% 197.22/31.33 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.33 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6360) implies:
% 197.22/31.33 | | | | | | | | | | | | | | | | | | | | | | | | | | (6361) op(e2, e2) = e1
% 197.22/31.33 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.33 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5204), (6361), (function-axioms) are
% 197.22/31.33 | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1512.
% 197.22/31.33 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.33 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.22/31.33 | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.33 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.22/31.33 | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.33 | | | | | | | | | | | | | | | | | | | | | | | | | (6362) (all_56_7 = e1 & op(e1, e2) = e1) | (all_56_13 =
% 197.22/31.33 | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e2) = e1)
% 197.22/31.33 | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.33 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6362) gives:
% 197.22/31.33 | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.33 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.22/31.33 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.33 | | | | | | | | | | | | | | | | | | | | | | | | | | (6363) all_56_7 = e1 & op(e1, e2) = e1
% 197.22/31.33 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.33 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (6037), (6363) are inconsistent by sub-proof
% 197.22/31.33 | | | | | | | | | | | | | | | | | | | | | | | | | | #1579.
% 197.22/31.33 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.33 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.22/31.33 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.33 | | | | | | | | | | | | | | | | | | | | | | | | | | (6364) all_56_13 = e1 & op(e0, e2) = e1
% 197.22/31.33 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.33 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6364) implies:
% 197.22/31.33 | | | | | | | | | | | | | | | | | | | | | | | | | | (6365) all_56_13 = e1
% 197.22/31.33 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.33 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (8), (9), (45), (157), (158),
% 197.22/31.33 | | | | | | | | | | | | | | | | | | | | | | | | | | (170), (206), (209), (228), (376), (5198), (5204),
% 197.22/31.33 | | | | | | | | | | | | | | | | | | | | | | | | | | (6028), (6037), (6220), (6241), (6365),
% 197.22/31.33 | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 197.22/31.33 | | | | | | | | | | | | | | | | | | | | | | | | | | #921.
% 197.22/31.33 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.33 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.22/31.33 | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.33 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.22/31.33 | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.33 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.22/31.33 | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.33 | | | | | | | | | | | | | | | | | | | | | | | | (6366) all_54_13 = e2 | all_54_13 = e1 | all_54_13 = e0
% 197.22/31.33 | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.33 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6366) gives:
% 197.22/31.33 | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.33 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.22/31.33 | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.33 | | | | | | | | | | | | | | | | | | | | | | | | | (6367) all_54_13 = e2
% 197.22/31.33 | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.33 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5219), (6367) imply:
% 197.22/31.33 | | | | | | | | | | | | | | | | | | | | | | | | | (6368) all_20_1 = e2
% 197.22/31.33 | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.33 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6051), (6368) imply:
% 197.22/31.33 | | | | | | | | | | | | | | | | | | | | | | | | | (6369) $false
% 197.22/31.33 | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.33 | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (6369) is inconsistent.
% 197.22/31.33 | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.33 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.22/31.33 | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.33 | | | | | | | | | | | | | | | | | | | | | | | | | (6370) ~ (all_54_13 = e2)
% 197.22/31.33 | | | | | | | | | | | | | | | | | | | | | | | | | (6371) all_54_13 = e1 | all_54_13 = e0
% 197.22/31.33 | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.33 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6371) gives:
% 197.22/31.33 | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.33 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.22/31.33 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.33 | | | | | | | | | | | | | | | | | | | | | | | | | | (6372) all_54_13 = e1
% 197.22/31.33 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.33 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5219), (6372) imply:
% 197.22/31.33 | | | | | | | | | | | | | | | | | | | | | | | | | | (6373) all_20_1 = e1
% 197.22/31.33 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.33 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5218), (6373) imply:
% 197.22/31.33 | | | | | | | | | | | | | | | | | | | | | | | | | | (6374) all_26_1 = e1
% 197.22/31.33 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.33 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5220), (6373) imply:
% 197.22/31.33 | | | | | | | | | | | | | | | | | | | | | | | | | | (6375) ~ (all_52_3 = e1)
% 197.22/31.33 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.33 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5221), (6373) imply:
% 197.22/31.33 | | | | | | | | | | | | | | | | | | | | | | | | | | (6376) ~ (all_52_4 = e1)
% 197.22/31.33 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.33 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5224), (6373) imply:
% 197.22/31.33 | | | | | | | | | | | | | | | | | | | | | | | | | | (6377) ~ (all_52_11 = e1)
% 197.22/31.33 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.33 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6051), (6373) imply:
% 197.22/31.33 | | | | | | | | | | | | | | | | | | | | | | | | | | (6378) ~ (e2 = e1)
% 197.22/31.33 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.33 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (190) gives:
% 197.22/31.33 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.33 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.22/31.33 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | (6379) all_54_14 = e3
% 197.22/31.33 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (247), (6379) imply:
% 197.22/31.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | (6380) all_52_11 = e3
% 197.22/31.33 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6220), (6380) imply:
% 197.22/31.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | (6381) $false
% 197.22/31.33 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (6381) is inconsistent.
% 197.22/31.33 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.33 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.22/31.33 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | (6382) ~ (all_54_14 = e3)
% 197.22/31.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | (6383) all_54_14 = e2 | all_54_14 = e1 | all_54_14 = e0
% 197.22/31.33 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6383) gives:
% 197.22/31.33 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.22/31.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6384) all_54_14 = e2
% 197.22/31.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (247), (6384) imply:
% 197.22/31.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6385) all_52_11 = e2
% 197.22/31.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6053), (6385) imply:
% 197.22/31.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6386) $false
% 197.22/31.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (6386) is inconsistent.
% 197.22/31.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.22/31.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6387) all_54_14 = e1 | all_54_14 = e0
% 197.22/31.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (203) gives:
% 197.22/31.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.22/31.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6388) all_54_1 = e3
% 197.22/31.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (272), (6388) imply:
% 197.22/31.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6389) all_52_4 = e3
% 197.22/31.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6389) implies:
% 197.22/31.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6390) all_52_4 = e3
% 197.22/31.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (133), (6390) imply:
% 197.22/31.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6391) ~ (all_52_12 = e3)
% 197.22/31.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6391) implies:
% 197.22/31.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6392) ~ (all_52_12 = e3)
% 197.22/31.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (226) gives:
% 197.22/31.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.22/31.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6393) (all_56_1 = e1 & op(e3, e2) = e1) | (all_56_3 = e1
% 197.22/31.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1)
% 197.22/31.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6393) gives:
% 197.22/31.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.22/31.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6394) all_56_1 = e1 & op(e3, e2) = e1
% 197.22/31.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6394) implies:
% 197.22/31.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6395) all_56_1 = e1
% 197.22/31.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (9), (168), (169), (236), (5144), (6219),
% 197.22/31.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6392), (6395), (function-axioms) are inconsistent
% 197.22/31.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #994.
% 197.22/31.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.22/31.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6396) all_56_3 = e1 & op(e2, e2) = e1
% 197.22/31.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6396) implies:
% 197.22/31.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6397) op(e2, e2) = e1
% 197.22/31.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5204), (6397), (function-axioms) are
% 197.22/31.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1512.
% 197.22/31.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.22/31.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.22/31.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6398) (all_56_7 = e1 & op(e1, e2) = e1) | (all_56_13 =
% 197.22/31.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e2) = e1)
% 197.22/31.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6398) gives:
% 197.22/31.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.22/31.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6399) all_56_7 = e1 & op(e1, e2) = e1
% 197.22/31.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (6037), (6399) are inconsistent by sub-proof
% 197.22/31.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1579.
% 197.22/31.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.22/31.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6400) all_56_13 = e1 & op(e0, e2) = e1
% 197.22/31.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6400) implies:
% 197.22/31.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6401) all_56_13 = e1
% 197.22/31.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6402) op(e0, e2) = e1
% 197.22/31.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (209) gives:
% 197.22/31.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.22/31.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6403) (all_56_12 = e3 & op(e0, e3) = e3) | (all_56_13 =
% 197.22/31.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e2) = e3)
% 197.22/31.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6403) gives:
% 197.22/31.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.22/31.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6404) all_56_12 = e3 & op(e0, e3) = e3
% 197.22/31.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6404) implies:
% 197.22/31.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6405) op(e0, e3) = e3
% 197.22/31.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (218) gives:
% 197.22/31.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.22/31.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6406) (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_5 = e1
% 197.22/31.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e1)
% 197.22/31.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6406) gives:
% 197.22/31.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.22/31.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6407) all_56_4 = e1 & op(e3, e1) = e1
% 197.22/31.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6407) implies:
% 197.22/31.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6408) all_56_4 = e1
% 197.22/31.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (230) gives:
% 197.22/31.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.22/31.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6409) (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_1 = e0
% 197.22/31.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e0)
% 197.22/31.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (226), (228),
% 197.22/31.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5145), (5204), (6037), (6409), (function-axioms)
% 197.22/31.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1002.
% 197.22/31.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.22/31.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6410) (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_9 = e0
% 197.22/31.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e0)
% 197.22/31.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6410) gives:
% 197.22/31.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.22/31.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6411) all_56_4 = e0 & op(e3, e1) = e0
% 197.22/31.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6408), (6411) are inconsistent by sub-proof
% 197.22/31.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1643.
% 197.22/31.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.22/31.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6412) all_56_9 = e0 & op(e3, e0) = e0
% 197.22/31.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6412) implies:
% 197.22/31.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6413) op(e3, e0) = e0
% 197.22/31.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (238) gives:
% 197.22/31.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.22/31.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6414) (all_57_3 = e3 & ~ (all_57_1 = e2) & ~ (all_57_8
% 197.22/31.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_10 = e2) & ~ (all_57_12 =
% 197.22/31.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_14 = e0) & op(e3, e3) =
% 197.22/31.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e2) = e3 & op(e2, all_57_9) =
% 197.22/31.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_8 & op(e2, all_57_11) = all_57_10 &
% 197.22/31.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_13) = all_57_12 & op(e2,
% 197.22/31.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15) = all_57_14 & op(e2, e3) = all_57_9
% 197.22/31.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = all_57_11 & op(e2, e1) =
% 197.22/31.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_13 & op(e2, e0) = all_57_15 &
% 197.22/31.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_8) & $i(all_57_9) &
% 197.22/31.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & $i(all_57_11) & $i(all_57_12) &
% 197.22/31.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13) & $i(all_57_14) & $i(all_57_15)) |
% 197.22/31.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_5 = e3 & ~ (all_57_1 = e1) & ~
% 197.22/31.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_16 = e3) & ~ (all_57_18 = e2) & ~
% 197.22/31.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_22 = e0) & op(e3,
% 197.22/31.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_1 & op(e3, e1) = e3 & op(e1,
% 197.22/31.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17) = all_57_16 & op(e1, all_57_19) =
% 197.22/31.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_18 & op(e1, all_57_21) = all_57_20 &
% 197.22/31.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_23) = all_57_22 & op(e1, e3) =
% 197.22/31.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e1, e2) = all_57_19 & op(e1, e1)
% 197.22/31.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_21 & op(e1, e0) = all_57_23 &
% 197.22/31.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_16) & $i(all_57_17) &
% 197.22/31.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_19) & $i(all_57_20) &
% 197.22/31.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_22) & $i(all_57_23)) |
% 197.22/31.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_7 = e3 & ~ (all_57_1 = e0) & ~
% 197.22/31.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 197.22/31.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) & op(e3,
% 197.22/31.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_1 & op(e3, e0) = e3 & op(e0,
% 197.22/31.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25) = all_57_24 & op(e0, all_57_27) =
% 197.22/31.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e0, all_57_29) = all_57_28 &
% 197.22/31.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_31) = all_57_30 & op(e0, e3) =
% 197.22/31.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_27 & op(e0, e1)
% 197.22/31.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_29 & op(e0, e0) = all_57_31 &
% 197.22/31.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_24) & $i(all_57_25) &
% 197.22/31.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_27) & $i(all_57_28) &
% 197.22/31.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29) & $i(all_57_30) & $i(all_57_31)) |
% 197.22/31.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e2 & ~ (all_57_0 = e3) & ~ (all_57_2
% 197.22/31.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2) & ~ (all_57_4 = e1) & ~ (all_57_6 =
% 197.22/31.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_11 = e3) & op(e3, all_57_1) =
% 197.22/31.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_0 & op(e3, all_57_3) = all_57_2 & op(e3,
% 197.22/31.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_5) = all_57_4 & op(e3, all_57_7) =
% 197.22/31.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_6 & op(e3, e3) = all_57_1 & op(e3, e2) =
% 197.22/31.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 & op(e3, e1) = all_57_5 & op(e3, e0) =
% 197.22/31.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7 & op(e2, e3) = e2 & op(e2, e2) =
% 197.22/31.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_11 & $i(all_57_0) & $i(all_57_1) &
% 197.22/31.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_2) & $i(all_57_3) & $i(all_57_4) &
% 197.22/31.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 197.22/31.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11))
% 197.22/31.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6414) gives:
% 197.22/31.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.22/31.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6415) (all_57_3 = e3 & ~ (all_57_1 = e2) & ~ (all_57_8
% 197.22/31.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_10 = e2) & ~ (all_57_12 =
% 197.22/31.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_14 = e0) & op(e3, e3) =
% 197.22/31.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e2) = e3 & op(e2, all_57_9) =
% 197.22/31.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_8 & op(e2, all_57_11) = all_57_10 &
% 197.22/31.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_13) = all_57_12 & op(e2,
% 197.22/31.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15) = all_57_14 & op(e2, e3) = all_57_9
% 197.22/31.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = all_57_11 & op(e2, e1) =
% 197.22/31.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_13 & op(e2, e0) = all_57_15 &
% 197.22/31.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_8) & $i(all_57_9) &
% 197.22/31.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & $i(all_57_11) & $i(all_57_12) &
% 197.22/31.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13) & $i(all_57_14) & $i(all_57_15)) |
% 197.22/31.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_5 = e3 & ~ (all_57_1 = e1) & ~
% 197.22/31.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_16 = e3) & ~ (all_57_18 = e2) & ~
% 197.22/31.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_22 = e0) & op(e3,
% 197.22/31.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_1 & op(e3, e1) = e3 & op(e1,
% 197.22/31.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17) = all_57_16 & op(e1, all_57_19) =
% 197.22/31.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_18 & op(e1, all_57_21) = all_57_20 &
% 197.22/31.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_23) = all_57_22 & op(e1, e3) =
% 197.22/31.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e1, e2) = all_57_19 & op(e1, e1)
% 197.22/31.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_21 & op(e1, e0) = all_57_23 &
% 197.22/31.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_16) & $i(all_57_17) &
% 197.22/31.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_19) & $i(all_57_20) &
% 197.22/31.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_22) & $i(all_57_23))
% 197.22/31.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (169), (5145), (6219), (6415), (function-axioms)
% 197.22/31.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1713.
% 197.22/31.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.22/31.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6416) (all_57_7 = e3 & ~ (all_57_1 = e0) & ~
% 197.22/31.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 197.22/31.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) & op(e3,
% 197.22/31.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_1 & op(e3, e0) = e3 & op(e0,
% 197.22/31.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25) = all_57_24 & op(e0, all_57_27) =
% 197.22/31.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e0, all_57_29) = all_57_28 &
% 197.22/31.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_31) = all_57_30 & op(e0, e3) =
% 197.22/31.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_27 & op(e0, e1)
% 197.22/31.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_29 & op(e0, e0) = all_57_31 &
% 197.22/31.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_24) & $i(all_57_25) &
% 197.22/31.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_27) & $i(all_57_28) &
% 197.22/31.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29) & $i(all_57_30) & $i(all_57_31)) |
% 197.22/31.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e2 & ~ (all_57_0 = e3) & ~ (all_57_2
% 197.22/31.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2) & ~ (all_57_4 = e1) & ~ (all_57_6 =
% 197.22/31.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_11 = e3) & op(e3, all_57_1) =
% 197.22/31.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_0 & op(e3, all_57_3) = all_57_2 & op(e3,
% 197.22/31.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_5) = all_57_4 & op(e3, all_57_7) =
% 197.22/31.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_6 & op(e3, e3) = all_57_1 & op(e3, e2) =
% 197.22/31.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 & op(e3, e1) = all_57_5 & op(e3, e0) =
% 197.22/31.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7 & op(e2, e3) = e2 & op(e2, e2) =
% 197.22/31.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_11 & $i(all_57_0) & $i(all_57_1) &
% 197.22/31.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_2) & $i(all_57_3) & $i(all_57_4) &
% 197.22/31.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 197.22/31.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11))
% 197.22/31.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (167), (5131), (6405), (6416), (function-axioms)
% 197.22/31.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1628.
% 197.22/31.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.22/31.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.22/31.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6417) (all_57_13 = e2 & ~ (all_57_11 = e1) & ~
% 197.22/31.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_16 = e3) & ~ (all_57_18 = e2) & ~
% 197.22/31.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_22 = e0) & op(e2,
% 197.22/31.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_11 & op(e2, e1) = e2 & op(e1,
% 197.22/31.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17) = all_57_16 & op(e1, all_57_19) =
% 197.22/31.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_18 & op(e1, all_57_21) = all_57_20 &
% 197.22/31.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_23) = all_57_22 & op(e1, e3) =
% 197.22/31.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e1, e2) = all_57_19 & op(e1, e1)
% 197.22/31.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_21 & op(e1, e0) = all_57_23 &
% 197.22/31.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_16) & $i(all_57_17) &
% 197.22/31.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_19) & $i(all_57_20) &
% 197.22/31.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_22) & $i(all_57_23)) |
% 197.22/31.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e2 & ~ (all_57_11 = e0) & ~
% 197.22/31.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 197.22/31.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) & op(e2,
% 197.22/31.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_11 & op(e2, e0) = e2 & op(e0,
% 197.22/31.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25) = all_57_24 & op(e0, all_57_27) =
% 197.22/31.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e0, all_57_29) = all_57_28 &
% 197.22/31.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_31) = all_57_30 & op(e0, e3) =
% 197.22/31.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_27 & op(e0, e1)
% 197.22/31.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_29 & op(e0, e0) = all_57_31 &
% 197.22/31.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_24) & $i(all_57_25) &
% 197.22/31.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_27) & $i(all_57_28) &
% 197.22/31.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29) & $i(all_57_30) & $i(all_57_31)) |
% 197.22/31.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_17 = e1 & ~ (all_57_0 = e3) & ~
% 197.22/31.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e2) & ~ (all_57_4 = e1) & ~
% 197.22/31.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_6 = e0) & ~ (all_57_21 = e3) & op(e3,
% 197.22/31.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1) = all_57_0 & op(e3, all_57_3) =
% 197.22/31.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_2 & op(e3, all_57_5) = all_57_4 & op(e3,
% 197.22/31.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7) = all_57_6 & op(e3, e3) = all_57_1 &
% 197.22/31.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_3 & op(e3, e1) = all_57_5 &
% 197.22/31.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_7 & op(e1, e3) = e1 & op(e1,
% 197.22/31.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_21 & $i(all_57_0) & $i(all_57_1)
% 197.22/31.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_2) & $i(all_57_3) & $i(all_57_4) &
% 197.22/31.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 197.22/31.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21)) | (all_57_19 = e1 & ~ (all_57_8
% 197.22/31.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_10 = e2) & ~ (all_57_12 =
% 197.22/31.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_14 = e0) & ~ (all_57_21 =
% 197.22/31.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & op(e2, all_57_9) = all_57_8 & op(e2,
% 197.22/31.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_11) = all_57_10 & op(e2, all_57_13) =
% 197.22/31.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & op(e2, all_57_15) = all_57_14 &
% 197.22/31.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_9 & op(e2, e2) = all_57_11 &
% 197.22/31.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_57_13 & op(e2, e0) = all_57_15
% 197.22/31.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e1 & op(e1, e1) = all_57_21 &
% 197.22/31.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8) & $i(all_57_9) & $i(all_57_10) &
% 197.22/31.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_12) & $i(all_57_13) &
% 197.22/31.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & $i(all_57_15) & $i(all_57_21)) |
% 197.22/31.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (op(e0, e0) = all_57_31 & $i(all_57_31) &
% 197.22/31.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_23 = e1 & ~ (all_57_21 = e0) & ~
% 197.22/31.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 197.22/31.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) &
% 197.22/31.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_21 & op(e1, e0) = e1 &
% 197.22/31.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_25) = all_57_24 & op(e0,
% 197.22/31.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27) = all_57_26 & op(e0, all_57_29)
% 197.22/31.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_28 & op(e0, all_57_31) = all_57_30
% 197.22/31.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e3) = all_57_25 & op(e0, e2) =
% 197.22/31.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27 & op(e0, e1) = all_57_29 &
% 197.22/31.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_24) &
% 197.22/31.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_25) & $i(all_57_26) &
% 197.22/31.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27) & $i(all_57_28) &
% 197.22/31.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29) & $i(all_57_30)) | (all_57_25
% 197.22/31.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & ~ (all_57_0 = e3) & ~ (all_57_2 =
% 197.22/31.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_4 = e1) & ~ (all_57_6 =
% 197.22/31.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_31 = e3) & op(e3,
% 197.22/31.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1) = all_57_0 & op(e3, all_57_3) =
% 197.22/31.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_2 & op(e3, all_57_5) = all_57_4 &
% 197.22/31.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, all_57_7) = all_57_6 & op(e3, e3) =
% 197.22/31.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e2) = all_57_3 & op(e3,
% 197.22/31.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_5 & op(e3, e0) = all_57_7 &
% 197.22/31.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_0) &
% 197.22/31.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_2) & $i(all_57_3) &
% 197.22/31.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4) & $i(all_57_5) & $i(all_57_6) &
% 197.22/31.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7)) | (all_57_27 = e0 & ~
% 197.22/31.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e3) & ~ (all_57_10 = e2) & ~
% 197.22/31.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e1) & ~ (all_57_14 = e0) & ~
% 197.22/31.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e2) & op(e2, all_57_9) =
% 197.22/31.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_8 & op(e2, all_57_11) = all_57_10 &
% 197.22/31.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_13) = all_57_12 & op(e2,
% 197.22/31.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15) = all_57_14 & op(e2, e3) =
% 197.22/31.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_9 & op(e2, e2) = all_57_11 & op(e2,
% 197.22/31.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_13 & op(e2, e0) = all_57_15 &
% 197.22/31.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_8) &
% 197.22/31.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9) & $i(all_57_10) & $i(all_57_11)
% 197.22/31.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_12) & $i(all_57_13) &
% 197.22/31.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & $i(all_57_15)) | (all_57_29
% 197.22/31.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & ~ (all_57_16 = e3) & ~ (all_57_18 =
% 197.22/31.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_20 = e1) & ~ (all_57_22
% 197.22/31.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_31 = e1) & op(e1,
% 197.22/31.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17) = all_57_16 & op(e1, all_57_19)
% 197.22/31.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_18 & op(e1, all_57_21) = all_57_20
% 197.22/31.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, all_57_23) = all_57_22 & op(e1, e3)
% 197.22/31.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_17 & op(e1, e2) = all_57_19 &
% 197.22/31.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_21 & op(e1, e0) =
% 197.22/31.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23 & op(e0, e1) = e0 & $i(all_57_16)
% 197.22/31.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_17) & $i(all_57_18) &
% 197.22/31.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_20) &
% 197.22/31.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_22) &
% 197.22/31.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23))))
% 197.22/31.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6417) gives:
% 197.22/31.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.22/31.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6418) (all_57_13 = e2 & ~ (all_57_11 = e1) & ~
% 197.22/31.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_16 = e3) & ~ (all_57_18 = e2) & ~
% 197.22/31.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_22 = e0) & op(e2,
% 197.22/31.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_11 & op(e2, e1) = e2 & op(e1,
% 197.22/31.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17) = all_57_16 & op(e1, all_57_19) =
% 197.22/31.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_18 & op(e1, all_57_21) = all_57_20 &
% 197.22/31.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_23) = all_57_22 & op(e1, e3) =
% 197.22/31.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e1, e2) = all_57_19 & op(e1, e1)
% 197.22/31.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_21 & op(e1, e0) = all_57_23 &
% 197.22/31.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_16) & $i(all_57_17) &
% 197.22/31.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_19) & $i(all_57_20) &
% 197.22/31.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_22) & $i(all_57_23)) |
% 197.22/31.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e2 & ~ (all_57_11 = e0) & ~
% 197.22/31.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 197.22/31.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) & op(e2,
% 197.22/31.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_11 & op(e2, e0) = e2 & op(e0,
% 197.22/31.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25) = all_57_24 & op(e0, all_57_27) =
% 197.22/31.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e0, all_57_29) = all_57_28 &
% 197.22/31.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_31) = all_57_30 & op(e0, e3) =
% 197.22/31.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_27 & op(e0, e1)
% 197.22/31.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_29 & op(e0, e0) = all_57_31 &
% 197.22/31.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_24) & $i(all_57_25) &
% 197.22/31.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_27) & $i(all_57_28) &
% 197.22/31.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29) & $i(all_57_30) & $i(all_57_31))
% 197.22/31.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5204), (5209), (6038), (6374), (6418),
% 197.22/31.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 197.22/31.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #917.
% 197.22/31.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.22/31.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6419) (all_57_17 = e1 & ~ (all_57_0 = e3) & ~
% 197.22/31.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e2) & ~ (all_57_4 = e1) & ~
% 197.22/31.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_6 = e0) & ~ (all_57_21 = e3) & op(e3,
% 197.22/31.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1) = all_57_0 & op(e3, all_57_3) =
% 197.22/31.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_2 & op(e3, all_57_5) = all_57_4 & op(e3,
% 197.22/31.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7) = all_57_6 & op(e3, e3) = all_57_1 &
% 197.22/31.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_3 & op(e3, e1) = all_57_5 &
% 197.22/31.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_7 & op(e1, e3) = e1 & op(e1,
% 197.22/31.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_21 & $i(all_57_0) & $i(all_57_1)
% 197.22/31.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_2) & $i(all_57_3) & $i(all_57_4) &
% 197.22/31.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 197.22/31.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21)) | (all_57_19 = e1 & ~ (all_57_8
% 197.22/31.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_10 = e2) & ~ (all_57_12 =
% 197.22/31.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_14 = e0) & ~ (all_57_21 =
% 197.22/31.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & op(e2, all_57_9) = all_57_8 & op(e2,
% 197.22/31.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_11) = all_57_10 & op(e2, all_57_13) =
% 197.22/31.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & op(e2, all_57_15) = all_57_14 &
% 197.22/31.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_9 & op(e2, e2) = all_57_11 &
% 197.22/31.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_57_13 & op(e2, e0) = all_57_15
% 197.22/31.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e1 & op(e1, e1) = all_57_21 &
% 197.22/31.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8) & $i(all_57_9) & $i(all_57_10) &
% 197.22/31.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_12) & $i(all_57_13) &
% 197.22/31.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & $i(all_57_15) & $i(all_57_21)) |
% 197.22/31.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (op(e0, e0) = all_57_31 & $i(all_57_31) &
% 197.22/31.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_23 = e1 & ~ (all_57_21 = e0) & ~
% 197.22/31.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 197.22/31.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) &
% 197.22/31.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_21 & op(e1, e0) = e1 &
% 197.22/31.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_25) = all_57_24 & op(e0,
% 197.22/31.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27) = all_57_26 & op(e0, all_57_29)
% 197.22/31.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_28 & op(e0, all_57_31) = all_57_30
% 197.22/31.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e3) = all_57_25 & op(e0, e2) =
% 197.22/31.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27 & op(e0, e1) = all_57_29 &
% 197.22/31.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_24) &
% 197.22/31.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_25) & $i(all_57_26) &
% 197.22/31.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27) & $i(all_57_28) &
% 197.22/31.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29) & $i(all_57_30)) | (all_57_25
% 197.22/31.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & ~ (all_57_0 = e3) & ~ (all_57_2 =
% 197.22/31.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_4 = e1) & ~ (all_57_6 =
% 197.22/31.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_31 = e3) & op(e3,
% 197.22/31.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1) = all_57_0 & op(e3, all_57_3) =
% 197.22/31.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_2 & op(e3, all_57_5) = all_57_4 &
% 197.22/31.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, all_57_7) = all_57_6 & op(e3, e3) =
% 197.22/31.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e2) = all_57_3 & op(e3,
% 197.22/31.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_5 & op(e3, e0) = all_57_7 &
% 197.22/31.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_0) &
% 197.22/31.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_2) & $i(all_57_3) &
% 197.22/31.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4) & $i(all_57_5) & $i(all_57_6) &
% 197.22/31.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7)) | (all_57_27 = e0 & ~
% 197.22/31.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e3) & ~ (all_57_10 = e2) & ~
% 197.22/31.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e1) & ~ (all_57_14 = e0) & ~
% 197.22/31.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e2) & op(e2, all_57_9) =
% 197.22/31.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_8 & op(e2, all_57_11) = all_57_10 &
% 197.22/31.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_13) = all_57_12 & op(e2,
% 197.22/31.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15) = all_57_14 & op(e2, e3) =
% 197.22/31.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_9 & op(e2, e2) = all_57_11 & op(e2,
% 197.22/31.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_13 & op(e2, e0) = all_57_15 &
% 197.22/31.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_8) &
% 197.22/31.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9) & $i(all_57_10) & $i(all_57_11)
% 197.22/31.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_12) & $i(all_57_13) &
% 197.22/31.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & $i(all_57_15)) | (all_57_29
% 197.22/31.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & ~ (all_57_16 = e3) & ~ (all_57_18 =
% 197.22/31.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_20 = e1) & ~ (all_57_22
% 197.22/31.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_31 = e1) & op(e1,
% 197.22/31.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17) = all_57_16 & op(e1, all_57_19)
% 197.22/31.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_18 & op(e1, all_57_21) = all_57_20
% 197.22/31.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, all_57_23) = all_57_22 & op(e1, e3)
% 197.22/31.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_17 & op(e1, e2) = all_57_19 &
% 197.22/31.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_21 & op(e1, e0) =
% 197.22/31.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23 & op(e0, e1) = e0 & $i(all_57_16)
% 197.22/31.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_17) & $i(all_57_18) &
% 197.22/31.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_20) &
% 197.22/31.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_22) &
% 197.22/31.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23))))
% 197.22/31.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6419) gives:
% 197.22/31.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.22/31.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6420) all_57_17 = e1 & ~ (all_57_0 = e3) & ~ (all_57_2
% 197.22/31.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2) & ~ (all_57_4 = e1) & ~ (all_57_6 = e0)
% 197.22/31.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_21 = e3) & op(e3, all_57_1) =
% 197.22/31.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_0 & op(e3, all_57_3) = all_57_2 & op(e3,
% 197.22/31.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_5) = all_57_4 & op(e3, all_57_7) =
% 197.22/31.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_6 & op(e3, e3) = all_57_1 & op(e3, e2) =
% 197.22/31.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 & op(e3, e1) = all_57_5 & op(e3, e0) =
% 197.22/31.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7 & op(e1, e3) = e1 & op(e1, e1) =
% 197.22/31.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_21 & $i(all_57_0) & $i(all_57_1) &
% 197.22/31.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_2) & $i(all_57_3) & $i(all_57_4) &
% 197.22/31.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 197.22/31.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21)
% 197.22/31.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6420) implies:
% 197.22/31.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6421) ~ (all_57_6 = e0)
% 197.22/31.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6422) op(e3, e0) = all_57_7
% 197.22/31.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6423) op(e3, all_57_7) = all_57_6
% 197.22/31.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6413), (6421), (6422), (6423), (function-axioms)
% 197.22/31.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1632.
% 197.22/31.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.22/31.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6424) (all_57_19 = e1 & ~ (all_57_8 = e3) & ~
% 197.22/31.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e2) & ~ (all_57_12 = e1) & ~
% 197.22/31.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e0) & ~ (all_57_21 = e2) & op(e2,
% 197.22/31.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_9) = all_57_8 & op(e2, all_57_11) =
% 197.22/31.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e2, all_57_13) = all_57_12 &
% 197.22/31.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_15) = all_57_14 & op(e2, e3) =
% 197.22/31.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_9 & op(e2, e2) = all_57_11 & op(e2, e1) =
% 197.22/31.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_13 & op(e2, e0) = all_57_15 & op(e1, e2)
% 197.22/31.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & op(e1, e1) = all_57_21 & $i(all_57_8) &
% 197.22/31.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9) & $i(all_57_10) & $i(all_57_11) &
% 197.22/31.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & $i(all_57_13) & $i(all_57_14) &
% 197.22/31.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & $i(all_57_21)) | (op(e0, e0) =
% 197.22/31.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_31 & $i(all_57_31) & ((all_57_23 = e1 &
% 197.22/31.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_21 = e0) & ~ (all_57_24 = e3) &
% 197.22/31.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_26 = e2) & ~ (all_57_28 = e1) &
% 197.22/31.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_30 = e0) & op(e1, e1) = all_57_21
% 197.22/31.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e0) = e1 & op(e0, all_57_25) =
% 197.22/31.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_24 & op(e0, all_57_27) = all_57_26 &
% 197.22/31.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_29) = all_57_28 & op(e0,
% 197.22/31.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_31) = all_57_30 & op(e0, e3) =
% 197.22/31.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_27 & op(e0,
% 197.22/31.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_29 & $i(all_57_21) &
% 197.22/31.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_24) & $i(all_57_25) &
% 197.22/31.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_27) &
% 197.22/31.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28) & $i(all_57_29) &
% 197.22/31.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_25 = e0 & ~
% 197.22/31.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_0 = e3) & ~ (all_57_2 = e2) & ~
% 197.22/31.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1) & ~ (all_57_6 = e0) & ~
% 197.22/31.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e3) & op(e3, all_57_1) =
% 197.22/31.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_0 & op(e3, all_57_3) = all_57_2 &
% 197.22/31.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, all_57_5) = all_57_4 & op(e3,
% 197.22/31.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7) = all_57_6 & op(e3, e3) =
% 197.22/31.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e2) = all_57_3 & op(e3,
% 197.22/31.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_5 & op(e3, e0) = all_57_7 &
% 197.22/31.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_0) &
% 197.22/31.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_2) & $i(all_57_3) &
% 197.22/31.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4) & $i(all_57_5) & $i(all_57_6) &
% 197.22/31.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7)) | (all_57_27 = e0 & ~
% 197.22/31.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e3) & ~ (all_57_10 = e2) & ~
% 197.22/31.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e1) & ~ (all_57_14 = e0) & ~
% 197.22/31.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e2) & op(e2, all_57_9) =
% 197.22/31.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_8 & op(e2, all_57_11) = all_57_10 &
% 197.22/31.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_13) = all_57_12 & op(e2,
% 197.22/31.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15) = all_57_14 & op(e2, e3) =
% 197.22/31.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_9 & op(e2, e2) = all_57_11 & op(e2,
% 197.22/31.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_13 & op(e2, e0) = all_57_15 &
% 197.22/31.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_8) &
% 197.22/31.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9) & $i(all_57_10) & $i(all_57_11)
% 197.22/31.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_12) & $i(all_57_13) &
% 197.22/31.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & $i(all_57_15)) | (all_57_29
% 197.22/31.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & ~ (all_57_16 = e3) & ~ (all_57_18 =
% 197.22/31.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_20 = e1) & ~ (all_57_22
% 197.22/31.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_31 = e1) & op(e1,
% 197.22/31.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17) = all_57_16 & op(e1, all_57_19)
% 197.22/31.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_18 & op(e1, all_57_21) = all_57_20
% 197.22/31.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, all_57_23) = all_57_22 & op(e1, e3)
% 197.22/31.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_17 & op(e1, e2) = all_57_19 &
% 197.22/31.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_21 & op(e1, e0) =
% 197.22/31.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23 & op(e0, e1) = e0 & $i(all_57_16)
% 197.22/31.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_17) & $i(all_57_18) &
% 197.22/31.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_20) &
% 197.22/31.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_22) &
% 197.22/31.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23))))
% 197.22/31.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6424) gives:
% 197.22/31.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.22/31.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6425) all_57_19 = e1 & ~ (all_57_8 = e3) & ~
% 197.22/31.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e2) & ~ (all_57_12 = e1) & ~
% 197.22/31.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e0) & ~ (all_57_21 = e2) & op(e2,
% 197.22/31.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_9) = all_57_8 & op(e2, all_57_11) =
% 197.22/31.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e2, all_57_13) = all_57_12 & op(e2,
% 197.22/31.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15) = all_57_14 & op(e2, e3) = all_57_9 &
% 197.22/31.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_11 & op(e2, e1) = all_57_13 &
% 197.22/31.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_15 & op(e1, e2) = e1 & op(e1,
% 197.22/31.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_21 & $i(all_57_8) & $i(all_57_9) &
% 197.22/31.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & $i(all_57_11) & $i(all_57_12) &
% 197.22/31.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13) & $i(all_57_14) & $i(all_57_15) &
% 197.22/31.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21)
% 197.22/31.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (139), (192), (200), (247), (249), (5129), (5133),
% 197.22/31.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5150), (5154), (5160), (5201), (6038), (6375),
% 197.22/31.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6377), (6387), (6425), (function-axioms) are
% 197.22/31.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #916.
% 197.22/31.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.22/31.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6426) op(e0, e0) = all_57_31 & $i(all_57_31) &
% 197.22/31.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_23 = e1 & ~ (all_57_21 = e0) & ~
% 197.22/31.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 197.22/31.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) &
% 197.22/31.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_21 & op(e1, e0) = e1 &
% 197.22/31.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_25) = all_57_24 & op(e0,
% 197.22/31.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27) = all_57_26 & op(e0, all_57_29) =
% 197.22/31.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_28 & op(e0, all_57_31) = all_57_30 &
% 197.22/31.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_25 & op(e0, e2) =
% 197.22/31.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27 & op(e0, e1) = all_57_29 &
% 197.22/31.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_24) & $i(all_57_25)
% 197.22/31.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_26) & $i(all_57_27) &
% 197.22/31.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28) & $i(all_57_29) & $i(all_57_30))
% 197.22/31.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_25 = e0 & ~ (all_57_0 = e3) & ~
% 197.22/31.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e2) & ~ (all_57_4 = e1) & ~
% 197.22/31.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_6 = e0) & ~ (all_57_31 = e3) & op(e3,
% 197.22/31.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1) = all_57_0 & op(e3, all_57_3) =
% 197.22/31.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_2 & op(e3, all_57_5) = all_57_4 &
% 197.22/31.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, all_57_7) = all_57_6 & op(e3, e3) =
% 197.22/31.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e2) = all_57_3 & op(e3, e1)
% 197.22/31.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_5 & op(e3, e0) = all_57_7 & op(e0,
% 197.22/31.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e0 & $i(all_57_0) & $i(all_57_1) &
% 197.22/31.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_2) & $i(all_57_3) & $i(all_57_4) &
% 197.22/31.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_6) & $i(all_57_7)) |
% 197.22/31.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_27 = e0 & ~ (all_57_8 = e3) & ~
% 197.22/31.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e2) & ~ (all_57_12 = e1) & ~
% 197.22/31.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e0) & ~ (all_57_31 = e2) &
% 197.22/31.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_9) = all_57_8 & op(e2,
% 197.22/31.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_11) = all_57_10 & op(e2, all_57_13) =
% 197.22/31.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & op(e2, all_57_15) = all_57_14 &
% 197.22/31.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_9 & op(e2, e2) = all_57_11
% 197.22/31.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = all_57_13 & op(e2, e0) =
% 197.22/31.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15 & op(e0, e2) = e0 & $i(all_57_8) &
% 197.22/31.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9) & $i(all_57_10) & $i(all_57_11) &
% 197.22/31.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & $i(all_57_13) & $i(all_57_14)
% 197.22/31.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_15)) | (all_57_29 = e0 & ~
% 197.22/31.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_16 = e3) & ~ (all_57_18 = e2) & ~
% 197.22/31.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_22 = e0) & ~
% 197.22/31.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e1) & op(e1, all_57_17) =
% 197.22/31.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_16 & op(e1, all_57_19) = all_57_18 &
% 197.22/31.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_21) = all_57_20 & op(e1,
% 197.22/31.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23) = all_57_22 & op(e1, e3) =
% 197.22/31.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e1, e2) = all_57_19 & op(e1,
% 197.22/31.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_21 & op(e1, e0) = all_57_23 &
% 197.22/31.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_16) &
% 197.22/31.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_17) & $i(all_57_18) & $i(all_57_19)
% 197.22/31.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_20) & $i(all_57_21) &
% 197.22/31.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_23)))
% 197.22/31.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6426) implies:
% 197.22/31.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6427) (all_57_23 = e1 & ~ (all_57_21 = e0) & ~
% 197.22/31.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 197.22/31.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) & op(e1,
% 197.22/31.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_21 & op(e1, e0) = e1 & op(e0,
% 197.22/31.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25) = all_57_24 & op(e0, all_57_27) =
% 197.22/31.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e0, all_57_29) = all_57_28 &
% 197.22/31.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_31) = all_57_30 & op(e0, e3) =
% 197.22/31.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_27 & op(e0, e1)
% 197.22/31.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_29 & $i(all_57_21) & $i(all_57_24) &
% 197.22/31.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_25) & $i(all_57_26) & $i(all_57_27) &
% 197.22/31.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28) & $i(all_57_29) & $i(all_57_30)) |
% 197.22/31.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_25 = e0 & ~ (all_57_0 = e3) & ~
% 197.22/31.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e2) & ~ (all_57_4 = e1) & ~
% 197.22/31.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_6 = e0) & ~ (all_57_31 = e3) & op(e3,
% 197.22/31.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1) = all_57_0 & op(e3, all_57_3) =
% 197.22/31.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_2 & op(e3, all_57_5) = all_57_4 & op(e3,
% 197.22/31.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7) = all_57_6 & op(e3, e3) = all_57_1 &
% 197.22/31.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_3 & op(e3, e1) = all_57_5 &
% 197.22/31.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_7 & op(e0, e3) = e0 &
% 197.22/31.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_0) & $i(all_57_1) & $i(all_57_2) &
% 197.22/31.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_3) & $i(all_57_4) & $i(all_57_5) &
% 197.22/31.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_6) & $i(all_57_7)) | (all_57_27 = e0 &
% 197.22/31.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_8 = e3) & ~ (all_57_10 = e2) & ~
% 197.22/31.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e1) & ~ (all_57_14 = e0) & ~
% 197.22/31.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e2) & op(e2, all_57_9) = all_57_8 &
% 197.22/31.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_11) = all_57_10 & op(e2,
% 197.22/31.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_13) = all_57_12 & op(e2, all_57_15) =
% 197.22/31.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_14 & op(e2, e3) = all_57_9 & op(e2, e2) =
% 197.22/31.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_11 & op(e2, e1) = all_57_13 & op(e2, e0)
% 197.22/31.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_15 & op(e0, e2) = e0 & $i(all_57_8) &
% 197.22/31.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9) & $i(all_57_10) & $i(all_57_11) &
% 197.22/31.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & $i(all_57_13) & $i(all_57_14) &
% 197.22/31.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15)) | (all_57_29 = e0 & ~ (all_57_16
% 197.22/31.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_18 = e2) & ~ (all_57_20 =
% 197.22/31.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_22 = e0) & ~ (all_57_31 =
% 197.22/31.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & op(e1, all_57_17) = all_57_16 & op(e1,
% 197.22/31.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_19) = all_57_18 & op(e1, all_57_21) =
% 197.22/31.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20 & op(e1, all_57_23) = all_57_22 &
% 197.22/31.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_17 & op(e1, e2) = all_57_19
% 197.22/31.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = all_57_21 & op(e1, e0) =
% 197.22/31.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23 & op(e0, e1) = e0 & $i(all_57_16) &
% 197.22/31.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_17) & $i(all_57_18) & $i(all_57_19) &
% 197.22/31.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_20) & $i(all_57_21) & $i(all_57_22) &
% 197.22/31.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23))
% 197.22/31.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5209), (6038), (6374), (6402), (6405),
% 197.22/31.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6413), (6427), (function-axioms) are inconsistent
% 197.22/31.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1209.
% 197.22/31.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.22/31.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.22/31.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.22/31.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.22/31.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.22/31.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.22/31.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.22/31.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6428) all_56_5 = e1 & op(e2, e1) = e1
% 197.22/31.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6428) implies:
% 197.22/31.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6429) all_56_5 = e1
% 197.22/31.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (6032), (6429) are inconsistent by sub-proof
% 197.22/31.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1454.
% 197.22/31.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.22/31.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.22/31.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6430) (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_14 =
% 197.22/31.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e1) = e1)
% 197.22/31.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6430) gives:
% 197.22/31.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.22/31.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6431) all_56_8 = e1 & op(e1, e1) = e1
% 197.22/31.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6431) implies:
% 197.22/31.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6432) op(e1, e1) = e1
% 197.22/31.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (6229), (6432), (function-axioms) are
% 197.22/31.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1958.
% 197.22/31.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.22/31.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6433) all_56_14 = e1 & op(e0, e1) = e1
% 197.22/31.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6433) implies:
% 197.22/31.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6434) op(e0, e1) = e1
% 197.22/31.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (238) gives:
% 197.22/31.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.22/31.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6435) (all_57_3 = e3 & ~ (all_57_1 = e2) & ~ (all_57_8
% 197.22/31.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_10 = e2) & ~ (all_57_12 =
% 197.22/31.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_14 = e0) & op(e3, e3) =
% 197.22/31.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e2) = e3 & op(e2, all_57_9) =
% 197.22/31.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_8 & op(e2, all_57_11) = all_57_10 &
% 197.22/31.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_13) = all_57_12 & op(e2,
% 197.22/31.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15) = all_57_14 & op(e2, e3) = all_57_9
% 197.22/31.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = all_57_11 & op(e2, e1) =
% 197.22/31.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_13 & op(e2, e0) = all_57_15 &
% 197.22/31.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_8) & $i(all_57_9) &
% 197.22/31.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & $i(all_57_11) & $i(all_57_12) &
% 197.22/31.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13) & $i(all_57_14) & $i(all_57_15)) |
% 197.22/31.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_5 = e3 & ~ (all_57_1 = e1) & ~
% 197.22/31.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_16 = e3) & ~ (all_57_18 = e2) & ~
% 197.22/31.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_22 = e0) & op(e3,
% 197.22/31.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_1 & op(e3, e1) = e3 & op(e1,
% 197.22/31.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17) = all_57_16 & op(e1, all_57_19) =
% 197.22/31.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_18 & op(e1, all_57_21) = all_57_20 &
% 197.22/31.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_23) = all_57_22 & op(e1, e3) =
% 197.22/31.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e1, e2) = all_57_19 & op(e1, e1)
% 197.22/31.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_21 & op(e1, e0) = all_57_23 &
% 197.22/31.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_16) & $i(all_57_17) &
% 197.22/31.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_19) & $i(all_57_20) &
% 197.22/31.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_22) & $i(all_57_23)) |
% 197.22/31.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_7 = e3 & ~ (all_57_1 = e0) & ~
% 197.22/31.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 197.22/31.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) & op(e3,
% 197.22/31.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_1 & op(e3, e0) = e3 & op(e0,
% 197.22/31.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25) = all_57_24 & op(e0, all_57_27) =
% 197.22/31.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e0, all_57_29) = all_57_28 &
% 197.22/31.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_31) = all_57_30 & op(e0, e3) =
% 197.22/31.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_27 & op(e0, e1)
% 197.22/31.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_29 & op(e0, e0) = all_57_31 &
% 197.22/31.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_24) & $i(all_57_25) &
% 197.22/31.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_27) & $i(all_57_28) &
% 197.22/31.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29) & $i(all_57_30) & $i(all_57_31)) |
% 197.22/31.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e2 & ~ (all_57_0 = e3) & ~ (all_57_2
% 197.22/31.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2) & ~ (all_57_4 = e1) & ~ (all_57_6 =
% 197.22/31.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_11 = e3) & op(e3, all_57_1) =
% 197.22/31.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_0 & op(e3, all_57_3) = all_57_2 & op(e3,
% 197.22/31.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_5) = all_57_4 & op(e3, all_57_7) =
% 197.22/31.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_6 & op(e3, e3) = all_57_1 & op(e3, e2) =
% 197.22/31.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 & op(e3, e1) = all_57_5 & op(e3, e0) =
% 197.22/31.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7 & op(e2, e3) = e2 & op(e2, e2) =
% 197.22/31.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_11 & $i(all_57_0) & $i(all_57_1) &
% 197.22/31.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_2) & $i(all_57_3) & $i(all_57_4) &
% 197.22/31.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 197.22/31.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11))
% 197.22/31.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6435) gives:
% 197.22/31.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.22/31.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6436) (all_57_3 = e3 & ~ (all_57_1 = e2) & ~ (all_57_8
% 197.22/31.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_10 = e2) & ~ (all_57_12 =
% 197.22/31.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_14 = e0) & op(e3, e3) =
% 197.22/31.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e2) = e3 & op(e2, all_57_9) =
% 197.22/31.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_8 & op(e2, all_57_11) = all_57_10 &
% 197.22/31.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_13) = all_57_12 & op(e2,
% 197.22/31.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15) = all_57_14 & op(e2, e3) = all_57_9
% 197.22/31.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = all_57_11 & op(e2, e1) =
% 197.22/31.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_13 & op(e2, e0) = all_57_15 &
% 197.22/31.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_8) & $i(all_57_9) &
% 197.22/31.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & $i(all_57_11) & $i(all_57_12) &
% 197.22/31.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13) & $i(all_57_14) & $i(all_57_15)) |
% 197.22/31.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_5 = e3 & ~ (all_57_1 = e1) & ~
% 197.22/31.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_16 = e3) & ~ (all_57_18 = e2) & ~
% 197.22/31.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_22 = e0) & op(e3,
% 197.22/31.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_1 & op(e3, e1) = e3 & op(e1,
% 197.22/31.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17) = all_57_16 & op(e1, all_57_19) =
% 197.22/31.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_18 & op(e1, all_57_21) = all_57_20 &
% 197.22/31.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_23) = all_57_22 & op(e1, e3) =
% 197.22/31.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e1, e2) = all_57_19 & op(e1, e1)
% 197.22/31.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_21 & op(e1, e0) = all_57_23 &
% 197.22/31.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_16) & $i(all_57_17) &
% 197.22/31.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_19) & $i(all_57_20) &
% 197.22/31.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_22) & $i(all_57_23))
% 197.22/31.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (169), (5145), (6219), (6436), (function-axioms)
% 197.22/31.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1713.
% 197.22/31.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.22/31.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6437) (all_57_7 = e3 & ~ (all_57_1 = e0) & ~
% 197.22/31.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 197.22/31.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) & op(e3,
% 197.22/31.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_1 & op(e3, e0) = e3 & op(e0,
% 197.22/31.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25) = all_57_24 & op(e0, all_57_27) =
% 197.22/31.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e0, all_57_29) = all_57_28 &
% 197.22/31.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_31) = all_57_30 & op(e0, e3) =
% 197.22/31.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_27 & op(e0, e1)
% 197.22/31.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_29 & op(e0, e0) = all_57_31 &
% 197.22/31.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_24) & $i(all_57_25) &
% 197.22/31.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_27) & $i(all_57_28) &
% 197.22/31.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29) & $i(all_57_30) & $i(all_57_31)) |
% 197.22/31.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e2 & ~ (all_57_0 = e3) & ~ (all_57_2
% 197.22/31.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2) & ~ (all_57_4 = e1) & ~ (all_57_6 =
% 197.22/31.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_11 = e3) & op(e3, all_57_1) =
% 197.22/31.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_0 & op(e3, all_57_3) = all_57_2 & op(e3,
% 197.22/31.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_5) = all_57_4 & op(e3, all_57_7) =
% 197.22/31.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_6 & op(e3, e3) = all_57_1 & op(e3, e2) =
% 197.22/31.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 & op(e3, e1) = all_57_5 & op(e3, e0) =
% 197.22/31.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7 & op(e2, e3) = e2 & op(e2, e2) =
% 197.22/31.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_11 & $i(all_57_0) & $i(all_57_1) &
% 197.22/31.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_2) & $i(all_57_3) & $i(all_57_4) &
% 197.22/31.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 197.22/31.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11))
% 197.22/31.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (167), (5131), (6434), (6437), (function-axioms)
% 197.22/31.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1853.
% 197.22/31.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.22/31.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.22/31.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6438) (all_57_13 = e2 & ~ (all_57_11 = e1) & ~
% 197.22/31.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_16 = e3) & ~ (all_57_18 = e2) & ~
% 197.22/31.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_22 = e0) & op(e2,
% 197.22/31.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_11 & op(e2, e1) = e2 & op(e1,
% 197.22/31.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17) = all_57_16 & op(e1, all_57_19) =
% 197.22/31.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_18 & op(e1, all_57_21) = all_57_20 &
% 197.22/31.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_23) = all_57_22 & op(e1, e3) =
% 197.22/31.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e1, e2) = all_57_19 & op(e1, e1)
% 197.22/31.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_21 & op(e1, e0) = all_57_23 &
% 197.22/31.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_16) & $i(all_57_17) &
% 197.22/31.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_19) & $i(all_57_20) &
% 197.22/31.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_22) & $i(all_57_23)) |
% 197.22/31.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e2 & ~ (all_57_11 = e0) & ~
% 197.22/31.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 197.22/31.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) & op(e2,
% 197.22/31.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_11 & op(e2, e0) = e2 & op(e0,
% 197.22/31.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25) = all_57_24 & op(e0, all_57_27) =
% 197.22/31.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e0, all_57_29) = all_57_28 &
% 197.22/31.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_31) = all_57_30 & op(e0, e3) =
% 197.22/31.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_27 & op(e0, e1)
% 197.22/31.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_29 & op(e0, e0) = all_57_31 &
% 197.22/31.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_24) & $i(all_57_25) &
% 197.22/31.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_27) & $i(all_57_28) &
% 197.22/31.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29) & $i(all_57_30) & $i(all_57_31)) |
% 197.22/31.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_17 = e1 & ~ (all_57_0 = e3) & ~
% 197.22/31.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e2) & ~ (all_57_4 = e1) & ~
% 197.22/31.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_6 = e0) & ~ (all_57_21 = e3) & op(e3,
% 197.22/31.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1) = all_57_0 & op(e3, all_57_3) =
% 197.22/31.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_2 & op(e3, all_57_5) = all_57_4 & op(e3,
% 197.22/31.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7) = all_57_6 & op(e3, e3) = all_57_1 &
% 197.22/31.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_3 & op(e3, e1) = all_57_5 &
% 197.22/31.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_7 & op(e1, e3) = e1 & op(e1,
% 197.22/31.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_21 & $i(all_57_0) & $i(all_57_1)
% 197.22/31.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_2) & $i(all_57_3) & $i(all_57_4) &
% 197.22/31.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 197.22/31.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21)) | (all_57_19 = e1 & ~ (all_57_8
% 197.22/31.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_10 = e2) & ~ (all_57_12 =
% 197.22/31.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_14 = e0) & ~ (all_57_21 =
% 197.22/31.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & op(e2, all_57_9) = all_57_8 & op(e2,
% 197.22/31.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_11) = all_57_10 & op(e2, all_57_13) =
% 197.22/31.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & op(e2, all_57_15) = all_57_14 &
% 197.22/31.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_9 & op(e2, e2) = all_57_11 &
% 197.22/31.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_57_13 & op(e2, e0) = all_57_15
% 197.22/31.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e1 & op(e1, e1) = all_57_21 &
% 197.22/31.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8) & $i(all_57_9) & $i(all_57_10) &
% 197.22/31.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_12) & $i(all_57_13) &
% 197.22/31.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & $i(all_57_15) & $i(all_57_21)) |
% 197.22/31.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (op(e0, e0) = all_57_31 & $i(all_57_31) &
% 197.22/31.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_23 = e1 & ~ (all_57_21 = e0) & ~
% 197.22/31.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 197.22/31.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) &
% 197.22/31.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_21 & op(e1, e0) = e1 &
% 197.22/31.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_25) = all_57_24 & op(e0,
% 197.22/31.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27) = all_57_26 & op(e0, all_57_29)
% 197.22/31.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_28 & op(e0, all_57_31) = all_57_30
% 197.22/31.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e3) = all_57_25 & op(e0, e2) =
% 197.22/31.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27 & op(e0, e1) = all_57_29 &
% 197.22/31.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_24) &
% 197.22/31.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_25) & $i(all_57_26) &
% 197.22/31.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27) & $i(all_57_28) &
% 197.22/31.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29) & $i(all_57_30)) | (all_57_25
% 197.22/31.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & ~ (all_57_0 = e3) & ~ (all_57_2 =
% 197.22/31.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_4 = e1) & ~ (all_57_6 =
% 197.22/31.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_31 = e3) & op(e3,
% 197.22/31.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1) = all_57_0 & op(e3, all_57_3) =
% 197.22/31.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_2 & op(e3, all_57_5) = all_57_4 &
% 197.22/31.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, all_57_7) = all_57_6 & op(e3, e3) =
% 197.22/31.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e2) = all_57_3 & op(e3,
% 197.22/31.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_5 & op(e3, e0) = all_57_7 &
% 197.22/31.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_0) &
% 197.22/31.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_2) & $i(all_57_3) &
% 197.22/31.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4) & $i(all_57_5) & $i(all_57_6) &
% 197.22/31.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7)) | (all_57_27 = e0 & ~
% 197.22/31.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e3) & ~ (all_57_10 = e2) & ~
% 197.22/31.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e1) & ~ (all_57_14 = e0) & ~
% 197.22/31.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e2) & op(e2, all_57_9) =
% 197.22/31.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_8 & op(e2, all_57_11) = all_57_10 &
% 197.22/31.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_13) = all_57_12 & op(e2,
% 197.22/31.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15) = all_57_14 & op(e2, e3) =
% 197.22/31.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_9 & op(e2, e2) = all_57_11 & op(e2,
% 197.22/31.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_13 & op(e2, e0) = all_57_15 &
% 197.22/31.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_8) &
% 197.22/31.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9) & $i(all_57_10) & $i(all_57_11)
% 197.22/31.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_12) & $i(all_57_13) &
% 197.22/31.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & $i(all_57_15)) | (all_57_29
% 197.22/31.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & ~ (all_57_16 = e3) & ~ (all_57_18 =
% 197.22/31.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_20 = e1) & ~ (all_57_22
% 197.22/31.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_31 = e1) & op(e1,
% 197.22/31.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17) = all_57_16 & op(e1, all_57_19)
% 197.22/31.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_18 & op(e1, all_57_21) = all_57_20
% 197.22/31.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, all_57_23) = all_57_22 & op(e1, e3)
% 197.22/31.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_17 & op(e1, e2) = all_57_19 &
% 197.22/31.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_21 & op(e1, e0) =
% 197.22/31.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23 & op(e0, e1) = e0 & $i(all_57_16)
% 197.22/31.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_17) & $i(all_57_18) &
% 197.22/31.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_20) &
% 197.22/31.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_22) &
% 197.22/31.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23))))
% 197.22/31.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6438) gives:
% 197.22/31.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.22/31.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6439) (all_57_13 = e2 & ~ (all_57_11 = e1) & ~
% 197.22/31.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_16 = e3) & ~ (all_57_18 = e2) & ~
% 197.22/31.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_22 = e0) & op(e2,
% 197.22/31.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_11 & op(e2, e1) = e2 & op(e1,
% 197.22/31.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17) = all_57_16 & op(e1, all_57_19) =
% 197.22/31.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_18 & op(e1, all_57_21) = all_57_20 &
% 197.22/31.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_23) = all_57_22 & op(e1, e3) =
% 197.22/31.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e1, e2) = all_57_19 & op(e1, e1)
% 197.22/31.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_21 & op(e1, e0) = all_57_23 &
% 197.22/31.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_16) & $i(all_57_17) &
% 197.22/31.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_19) & $i(all_57_20) &
% 197.22/31.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_22) & $i(all_57_23)) |
% 197.22/31.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e2 & ~ (all_57_11 = e0) & ~
% 197.22/31.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 197.22/31.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) & op(e2,
% 197.22/31.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_11 & op(e2, e0) = e2 & op(e0,
% 197.22/31.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25) = all_57_24 & op(e0, all_57_27) =
% 197.22/31.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e0, all_57_29) = all_57_28 &
% 197.22/31.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_31) = all_57_30 & op(e0, e3) =
% 197.22/31.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_27 & op(e0, e1)
% 197.22/31.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_29 & op(e0, e0) = all_57_31 &
% 197.22/31.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_24) & $i(all_57_25) &
% 197.22/31.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_27) & $i(all_57_28) &
% 197.22/31.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29) & $i(all_57_30) & $i(all_57_31))
% 197.22/31.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5204), (5209), (6038), (6374), (6439),
% 197.22/31.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 197.22/31.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #917.
% 197.22/31.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.22/31.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6440) (all_57_17 = e1 & ~ (all_57_0 = e3) & ~
% 197.22/31.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e2) & ~ (all_57_4 = e1) & ~
% 197.22/31.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_6 = e0) & ~ (all_57_21 = e3) & op(e3,
% 197.22/31.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1) = all_57_0 & op(e3, all_57_3) =
% 197.22/31.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_2 & op(e3, all_57_5) = all_57_4 & op(e3,
% 197.22/31.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7) = all_57_6 & op(e3, e3) = all_57_1 &
% 197.22/31.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_3 & op(e3, e1) = all_57_5 &
% 197.22/31.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_7 & op(e1, e3) = e1 & op(e1,
% 197.22/31.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_21 & $i(all_57_0) & $i(all_57_1)
% 197.22/31.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_2) & $i(all_57_3) & $i(all_57_4) &
% 197.22/31.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 197.22/31.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21)) | (all_57_19 = e1 & ~ (all_57_8
% 197.22/31.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_10 = e2) & ~ (all_57_12 =
% 197.22/31.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_14 = e0) & ~ (all_57_21 =
% 197.22/31.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & op(e2, all_57_9) = all_57_8 & op(e2,
% 197.22/31.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_11) = all_57_10 & op(e2, all_57_13) =
% 197.22/31.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & op(e2, all_57_15) = all_57_14 &
% 197.22/31.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_9 & op(e2, e2) = all_57_11 &
% 197.22/31.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_57_13 & op(e2, e0) = all_57_15
% 197.22/31.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e1 & op(e1, e1) = all_57_21 &
% 197.22/31.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8) & $i(all_57_9) & $i(all_57_10) &
% 197.22/31.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_12) & $i(all_57_13) &
% 197.22/31.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & $i(all_57_15) & $i(all_57_21)) |
% 197.22/31.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (op(e0, e0) = all_57_31 & $i(all_57_31) &
% 197.22/31.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_23 = e1 & ~ (all_57_21 = e0) & ~
% 197.22/31.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 197.22/31.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) &
% 197.22/31.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_21 & op(e1, e0) = e1 &
% 197.22/31.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_25) = all_57_24 & op(e0,
% 197.22/31.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27) = all_57_26 & op(e0, all_57_29)
% 197.22/31.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_28 & op(e0, all_57_31) = all_57_30
% 197.22/31.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e3) = all_57_25 & op(e0, e2) =
% 197.22/31.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27 & op(e0, e1) = all_57_29 &
% 197.22/31.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_24) &
% 197.22/31.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_25) & $i(all_57_26) &
% 197.22/31.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27) & $i(all_57_28) &
% 197.22/31.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29) & $i(all_57_30)) | (all_57_25
% 197.22/31.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & ~ (all_57_0 = e3) & ~ (all_57_2 =
% 197.22/31.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_4 = e1) & ~ (all_57_6 =
% 197.22/31.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_31 = e3) & op(e3,
% 197.22/31.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1) = all_57_0 & op(e3, all_57_3) =
% 197.22/31.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_2 & op(e3, all_57_5) = all_57_4 &
% 197.22/31.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, all_57_7) = all_57_6 & op(e3, e3) =
% 197.22/31.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e2) = all_57_3 & op(e3,
% 197.22/31.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_5 & op(e3, e0) = all_57_7 &
% 197.22/31.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_0) &
% 197.22/31.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_2) & $i(all_57_3) &
% 197.22/31.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4) & $i(all_57_5) & $i(all_57_6) &
% 197.22/31.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7)) | (all_57_27 = e0 & ~
% 197.22/31.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e3) & ~ (all_57_10 = e2) & ~
% 197.22/31.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e1) & ~ (all_57_14 = e0) & ~
% 197.22/31.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e2) & op(e2, all_57_9) =
% 197.22/31.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_8 & op(e2, all_57_11) = all_57_10 &
% 197.22/31.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_13) = all_57_12 & op(e2,
% 197.22/31.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15) = all_57_14 & op(e2, e3) =
% 197.22/31.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_9 & op(e2, e2) = all_57_11 & op(e2,
% 197.22/31.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_13 & op(e2, e0) = all_57_15 &
% 197.22/31.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_8) &
% 197.22/31.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9) & $i(all_57_10) & $i(all_57_11)
% 197.22/31.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_12) & $i(all_57_13) &
% 197.22/31.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & $i(all_57_15)) | (all_57_29
% 197.22/31.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & ~ (all_57_16 = e3) & ~ (all_57_18 =
% 197.22/31.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_20 = e1) & ~ (all_57_22
% 197.22/31.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_31 = e1) & op(e1,
% 197.22/31.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17) = all_57_16 & op(e1, all_57_19)
% 197.22/31.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_18 & op(e1, all_57_21) = all_57_20
% 197.22/31.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, all_57_23) = all_57_22 & op(e1, e3)
% 197.22/31.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_17 & op(e1, e2) = all_57_19 &
% 197.22/31.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_21 & op(e1, e0) =
% 197.22/31.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23 & op(e0, e1) = e0 & $i(all_57_16)
% 197.22/31.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_17) & $i(all_57_18) &
% 197.22/31.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_20) &
% 197.22/31.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_22) &
% 197.22/31.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23))))
% 197.22/31.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6440) gives:
% 197.22/31.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.22/31.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6441) all_57_17 = e1 & ~ (all_57_0 = e3) & ~ (all_57_2
% 197.22/31.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2) & ~ (all_57_4 = e1) & ~ (all_57_6 = e0)
% 197.22/31.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_21 = e3) & op(e3, all_57_1) =
% 197.22/31.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_0 & op(e3, all_57_3) = all_57_2 & op(e3,
% 197.22/31.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_5) = all_57_4 & op(e3, all_57_7) =
% 197.22/31.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_6 & op(e3, e3) = all_57_1 & op(e3, e2) =
% 197.22/31.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 & op(e3, e1) = all_57_5 & op(e3, e0) =
% 197.22/31.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7 & op(e1, e3) = e1 & op(e1, e1) =
% 197.22/31.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_21 & $i(all_57_0) & $i(all_57_1) &
% 197.22/31.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_2) & $i(all_57_3) & $i(all_57_4) &
% 197.22/31.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 197.22/31.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21)
% 197.22/31.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6229), (6441), (function-axioms) are inconsistent
% 197.22/31.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1926.
% 197.22/31.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.22/31.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6442) (all_57_19 = e1 & ~ (all_57_8 = e3) & ~
% 197.22/31.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e2) & ~ (all_57_12 = e1) & ~
% 197.22/31.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e0) & ~ (all_57_21 = e2) & op(e2,
% 197.22/31.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_9) = all_57_8 & op(e2, all_57_11) =
% 197.22/31.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e2, all_57_13) = all_57_12 &
% 197.22/31.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_15) = all_57_14 & op(e2, e3) =
% 197.22/31.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_9 & op(e2, e2) = all_57_11 & op(e2, e1) =
% 197.22/31.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_13 & op(e2, e0) = all_57_15 & op(e1, e2)
% 197.22/31.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & op(e1, e1) = all_57_21 & $i(all_57_8) &
% 197.22/31.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9) & $i(all_57_10) & $i(all_57_11) &
% 197.22/31.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & $i(all_57_13) & $i(all_57_14) &
% 197.22/31.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & $i(all_57_21)) | (op(e0, e0) =
% 197.22/31.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_31 & $i(all_57_31) & ((all_57_23 = e1 &
% 197.22/31.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_21 = e0) & ~ (all_57_24 = e3) &
% 197.22/31.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_26 = e2) & ~ (all_57_28 = e1) &
% 197.22/31.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_30 = e0) & op(e1, e1) = all_57_21
% 197.22/31.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e0) = e1 & op(e0, all_57_25) =
% 197.22/31.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_24 & op(e0, all_57_27) = all_57_26 &
% 197.22/31.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_29) = all_57_28 & op(e0,
% 197.22/31.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_31) = all_57_30 & op(e0, e3) =
% 197.22/31.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_27 & op(e0,
% 197.22/31.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_29 & $i(all_57_21) &
% 197.22/31.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_24) & $i(all_57_25) &
% 197.22/31.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_27) &
% 197.22/31.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28) & $i(all_57_29) &
% 197.22/31.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_25 = e0 & ~
% 197.22/31.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_0 = e3) & ~ (all_57_2 = e2) & ~
% 197.22/31.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1) & ~ (all_57_6 = e0) & ~
% 197.22/31.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e3) & op(e3, all_57_1) =
% 197.22/31.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_0 & op(e3, all_57_3) = all_57_2 &
% 197.22/31.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, all_57_5) = all_57_4 & op(e3,
% 197.22/31.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7) = all_57_6 & op(e3, e3) =
% 197.22/31.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e2) = all_57_3 & op(e3,
% 197.22/31.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_5 & op(e3, e0) = all_57_7 &
% 197.22/31.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_0) &
% 197.22/31.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_2) & $i(all_57_3) &
% 197.22/31.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4) & $i(all_57_5) & $i(all_57_6) &
% 197.22/31.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7)) | (all_57_27 = e0 & ~
% 197.22/31.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e3) & ~ (all_57_10 = e2) & ~
% 197.22/31.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e1) & ~ (all_57_14 = e0) & ~
% 197.22/31.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e2) & op(e2, all_57_9) =
% 197.22/31.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_8 & op(e2, all_57_11) = all_57_10 &
% 197.22/31.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_13) = all_57_12 & op(e2,
% 197.22/31.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15) = all_57_14 & op(e2, e3) =
% 197.22/31.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_9 & op(e2, e2) = all_57_11 & op(e2,
% 197.22/31.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_13 & op(e2, e0) = all_57_15 &
% 197.22/31.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_8) &
% 197.22/31.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9) & $i(all_57_10) & $i(all_57_11)
% 197.22/31.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_12) & $i(all_57_13) &
% 197.22/31.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & $i(all_57_15)) | (all_57_29
% 197.22/31.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & ~ (all_57_16 = e3) & ~ (all_57_18 =
% 197.22/31.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_20 = e1) & ~ (all_57_22
% 197.22/31.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_31 = e1) & op(e1,
% 197.22/31.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17) = all_57_16 & op(e1, all_57_19)
% 197.22/31.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_18 & op(e1, all_57_21) = all_57_20
% 197.22/31.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, all_57_23) = all_57_22 & op(e1, e3)
% 197.22/31.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_17 & op(e1, e2) = all_57_19 &
% 197.22/31.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_21 & op(e1, e0) =
% 197.22/31.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23 & op(e0, e1) = e0 & $i(all_57_16)
% 197.22/31.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_17) & $i(all_57_18) &
% 197.22/31.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_20) &
% 197.22/31.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_22) &
% 197.22/31.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23))))
% 197.22/31.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6442) gives:
% 197.22/31.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.22/31.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6443) all_57_19 = e1 & ~ (all_57_8 = e3) & ~
% 197.22/31.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e2) & ~ (all_57_12 = e1) & ~
% 197.22/31.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e0) & ~ (all_57_21 = e2) & op(e2,
% 197.22/31.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_9) = all_57_8 & op(e2, all_57_11) =
% 197.22/31.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e2, all_57_13) = all_57_12 & op(e2,
% 197.22/31.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15) = all_57_14 & op(e2, e3) = all_57_9 &
% 197.22/31.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_11 & op(e2, e1) = all_57_13 &
% 197.22/31.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_15 & op(e1, e2) = e1 & op(e1,
% 197.22/31.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_21 & $i(all_57_8) & $i(all_57_9) &
% 197.22/31.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & $i(all_57_11) & $i(all_57_12) &
% 197.22/31.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13) & $i(all_57_14) & $i(all_57_15) &
% 197.22/31.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21)
% 197.22/31.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (139), (192), (200), (247), (249), (5129), (5133),
% 197.22/31.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5150), (5154), (5160), (5201), (6038), (6375),
% 197.22/31.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6377), (6387), (6443), (function-axioms) are
% 197.22/31.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #916.
% 197.22/31.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.22/31.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6444) op(e0, e0) = all_57_31 & $i(all_57_31) &
% 197.22/31.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_23 = e1 & ~ (all_57_21 = e0) & ~
% 197.22/31.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 197.22/31.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) &
% 197.22/31.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_21 & op(e1, e0) = e1 &
% 197.22/31.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_25) = all_57_24 & op(e0,
% 197.22/31.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27) = all_57_26 & op(e0, all_57_29) =
% 197.22/31.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_28 & op(e0, all_57_31) = all_57_30 &
% 197.22/31.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_25 & op(e0, e2) =
% 197.22/31.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27 & op(e0, e1) = all_57_29 &
% 197.22/31.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_24) & $i(all_57_25)
% 197.22/31.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_26) & $i(all_57_27) &
% 197.22/31.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28) & $i(all_57_29) & $i(all_57_30))
% 197.22/31.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_25 = e0 & ~ (all_57_0 = e3) & ~
% 197.22/31.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e2) & ~ (all_57_4 = e1) & ~
% 197.22/31.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_6 = e0) & ~ (all_57_31 = e3) & op(e3,
% 197.22/31.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1) = all_57_0 & op(e3, all_57_3) =
% 197.22/31.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_2 & op(e3, all_57_5) = all_57_4 &
% 197.22/31.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, all_57_7) = all_57_6 & op(e3, e3) =
% 197.22/31.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e2) = all_57_3 & op(e3, e1)
% 197.22/31.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_5 & op(e3, e0) = all_57_7 & op(e0,
% 197.22/31.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e0 & $i(all_57_0) & $i(all_57_1) &
% 197.22/31.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_2) & $i(all_57_3) & $i(all_57_4) &
% 197.22/31.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_6) & $i(all_57_7)) |
% 197.22/31.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_27 = e0 & ~ (all_57_8 = e3) & ~
% 197.22/31.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e2) & ~ (all_57_12 = e1) & ~
% 197.22/31.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e0) & ~ (all_57_31 = e2) &
% 197.22/31.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_9) = all_57_8 & op(e2,
% 197.22/31.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_11) = all_57_10 & op(e2, all_57_13) =
% 197.22/31.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & op(e2, all_57_15) = all_57_14 &
% 197.22/31.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_9 & op(e2, e2) = all_57_11
% 197.22/31.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = all_57_13 & op(e2, e0) =
% 197.22/31.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15 & op(e0, e2) = e0 & $i(all_57_8) &
% 197.22/31.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9) & $i(all_57_10) & $i(all_57_11) &
% 197.22/31.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & $i(all_57_13) & $i(all_57_14)
% 197.22/31.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_15)) | (all_57_29 = e0 & ~
% 197.22/31.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_16 = e3) & ~ (all_57_18 = e2) & ~
% 197.22/31.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_22 = e0) & ~
% 197.22/31.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e1) & op(e1, all_57_17) =
% 197.22/31.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_16 & op(e1, all_57_19) = all_57_18 &
% 197.22/31.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_21) = all_57_20 & op(e1,
% 197.22/31.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23) = all_57_22 & op(e1, e3) =
% 197.22/31.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e1, e2) = all_57_19 & op(e1,
% 197.22/31.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_21 & op(e1, e0) = all_57_23 &
% 197.22/31.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_16) &
% 197.22/31.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_17) & $i(all_57_18) & $i(all_57_19)
% 197.22/31.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_20) & $i(all_57_21) &
% 197.22/31.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_23)))
% 197.22/31.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6444) implies:
% 197.22/31.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6445) (all_57_23 = e1 & ~ (all_57_21 = e0) & ~
% 197.22/31.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 197.22/31.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) & op(e1,
% 197.22/31.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_21 & op(e1, e0) = e1 & op(e0,
% 197.22/31.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25) = all_57_24 & op(e0, all_57_27) =
% 197.22/31.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e0, all_57_29) = all_57_28 &
% 197.22/31.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_31) = all_57_30 & op(e0, e3) =
% 197.22/31.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_27 & op(e0, e1)
% 197.22/31.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_29 & $i(all_57_21) & $i(all_57_24) &
% 197.22/31.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_25) & $i(all_57_26) & $i(all_57_27) &
% 197.22/31.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28) & $i(all_57_29) & $i(all_57_30)) |
% 197.22/31.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_25 = e0 & ~ (all_57_0 = e3) & ~
% 197.22/31.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e2) & ~ (all_57_4 = e1) & ~
% 197.22/31.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_6 = e0) & ~ (all_57_31 = e3) & op(e3,
% 197.22/31.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1) = all_57_0 & op(e3, all_57_3) =
% 197.22/31.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_2 & op(e3, all_57_5) = all_57_4 & op(e3,
% 197.22/31.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7) = all_57_6 & op(e3, e3) = all_57_1 &
% 197.22/31.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_3 & op(e3, e1) = all_57_5 &
% 197.22/31.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_7 & op(e0, e3) = e0 &
% 197.22/31.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_0) & $i(all_57_1) & $i(all_57_2) &
% 197.22/31.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_3) & $i(all_57_4) & $i(all_57_5) &
% 197.22/31.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_6) & $i(all_57_7)) | (all_57_27 = e0 &
% 197.22/31.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_8 = e3) & ~ (all_57_10 = e2) & ~
% 197.22/31.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e1) & ~ (all_57_14 = e0) & ~
% 197.22/31.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e2) & op(e2, all_57_9) = all_57_8 &
% 197.22/31.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_11) = all_57_10 & op(e2,
% 197.22/31.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_13) = all_57_12 & op(e2, all_57_15) =
% 197.22/31.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_14 & op(e2, e3) = all_57_9 & op(e2, e2) =
% 197.22/31.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_11 & op(e2, e1) = all_57_13 & op(e2, e0)
% 197.22/31.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_15 & op(e0, e2) = e0 & $i(all_57_8) &
% 197.22/31.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9) & $i(all_57_10) & $i(all_57_11) &
% 197.22/31.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & $i(all_57_13) & $i(all_57_14) &
% 197.22/31.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15)) | (all_57_29 = e0 & ~ (all_57_16
% 197.22/31.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_18 = e2) & ~ (all_57_20 =
% 197.22/31.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_22 = e0) & ~ (all_57_31 =
% 197.22/31.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & op(e1, all_57_17) = all_57_16 & op(e1,
% 197.22/31.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_19) = all_57_18 & op(e1, all_57_21) =
% 197.22/31.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20 & op(e1, all_57_23) = all_57_22 &
% 197.22/31.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_17 & op(e1, e2) = all_57_19
% 197.22/31.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = all_57_21 & op(e1, e0) =
% 197.22/31.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23 & op(e0, e1) = e0 & $i(all_57_16) &
% 197.22/31.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_17) & $i(all_57_18) & $i(all_57_19) &
% 197.22/31.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_20) & $i(all_57_21) & $i(all_57_22) &
% 197.22/31.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23))
% 197.22/31.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6387) gives:
% 197.22/31.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.22/31.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6446) all_54_14 = e1
% 197.22/31.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (247), (6377), (6446) are inconsistent by
% 197.22/31.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1135.
% 197.22/31.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.22/31.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6447) all_54_14 = e0
% 197.22/31.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (247), (6447) imply:
% 197.22/31.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6448) all_52_11 = e0
% 197.22/31.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6448) implies:
% 197.22/31.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6449) all_52_11 = e0
% 197.22/31.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (139), (6449) imply:
% 197.22/31.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6450) ~ (all_52_3 = e0)
% 197.22/31.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6445) gives:
% 197.22/31.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.22/31.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6451) (all_57_23 = e1 & ~ (all_57_21 = e0) & ~
% 197.22/31.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 197.22/31.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) & op(e1,
% 197.22/31.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_21 & op(e1, e0) = e1 & op(e0,
% 197.22/31.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25) = all_57_24 & op(e0, all_57_27) =
% 197.22/31.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e0, all_57_29) = all_57_28 &
% 197.22/31.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_31) = all_57_30 & op(e0, e3) =
% 197.22/31.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_27 & op(e0, e1)
% 197.22/31.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_29 & $i(all_57_21) & $i(all_57_24) &
% 197.22/31.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_25) & $i(all_57_26) & $i(all_57_27) &
% 197.22/31.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28) & $i(all_57_29) & $i(all_57_30)) |
% 197.22/31.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_25 = e0 & ~ (all_57_0 = e3) & ~
% 197.22/31.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e2) & ~ (all_57_4 = e1) & ~
% 197.22/31.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_6 = e0) & ~ (all_57_31 = e3) & op(e3,
% 197.22/31.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1) = all_57_0 & op(e3, all_57_3) =
% 197.22/31.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_2 & op(e3, all_57_5) = all_57_4 & op(e3,
% 197.22/31.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7) = all_57_6 & op(e3, e3) = all_57_1 &
% 197.22/31.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_3 & op(e3, e1) = all_57_5 &
% 197.22/31.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_7 & op(e0, e3) = e0 &
% 197.22/31.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_0) & $i(all_57_1) & $i(all_57_2) &
% 197.22/31.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_3) & $i(all_57_4) & $i(all_57_5) &
% 197.22/31.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_6) & $i(all_57_7))
% 197.22/31.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (159), (6434), (6450), (6451), (function-axioms)
% 197.22/31.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #915.
% 197.22/31.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.22/31.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6452) (all_57_27 = e0 & ~ (all_57_8 = e3) & ~
% 197.22/31.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e2) & ~ (all_57_12 = e1) & ~
% 197.22/31.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e0) & ~ (all_57_31 = e2) & op(e2,
% 197.22/31.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_9) = all_57_8 & op(e2, all_57_11) =
% 197.22/31.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e2, all_57_13) = all_57_12 &
% 197.22/31.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_15) = all_57_14 & op(e2, e3) =
% 197.22/31.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_9 & op(e2, e2) = all_57_11 & op(e2, e1) =
% 197.22/31.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_13 & op(e2, e0) = all_57_15 & op(e0, e2)
% 197.22/31.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & $i(all_57_8) & $i(all_57_9) &
% 197.22/31.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & $i(all_57_11) & $i(all_57_12) &
% 197.22/31.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13) & $i(all_57_14) & $i(all_57_15)) |
% 197.22/31.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_29 = e0 & ~ (all_57_16 = e3) & ~
% 197.22/31.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_18 = e2) & ~ (all_57_20 = e1) & ~
% 197.22/31.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_22 = e0) & ~ (all_57_31 = e1) & op(e1,
% 197.22/31.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17) = all_57_16 & op(e1, all_57_19) =
% 197.22/31.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_18 & op(e1, all_57_21) = all_57_20 &
% 197.22/31.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_23) = all_57_22 & op(e1, e3) =
% 197.22/31.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e1, e2) = all_57_19 & op(e1, e1)
% 197.22/31.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_21 & op(e1, e0) = all_57_23 & op(e0,
% 197.22/31.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0 & $i(all_57_16) & $i(all_57_17) &
% 197.22/31.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_19) & $i(all_57_20) &
% 197.22/31.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_22) & $i(all_57_23))
% 197.22/31.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5209), (6038), (6374), (6402), (6452),
% 197.22/31.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 197.22/31.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1210.
% 197.22/31.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.22/31.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.22/31.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.22/31.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.22/31.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.22/31.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.22/31.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.22/31.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.22/31.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.22/31.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6453) all_56_13 = e3 & op(e0, e2) = e3
% 197.22/31.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (6401), (6453) are inconsistent by sub-proof
% 197.22/31.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1544.
% 197.22/31.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.22/31.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.22/31.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6454) (all_56_14 = e3 & op(e0, e1) = e3) | (all_56_15 =
% 197.22/31.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = e3)
% 197.22/31.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (157), (6028), (6220), (6454),
% 197.22/31.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 197.22/31.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1837.
% 197.22/31.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.22/31.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.22/31.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.22/31.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.22/31.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6455) all_54_1 = e2 | all_54_1 = e1 | all_54_1 = e0
% 197.22/31.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (272), (5134), (5196), (6376), (6455) are
% 197.22/31.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1230.
% 197.22/31.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.22/31.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.22/31.35 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.35 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.22/31.35 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.35 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.22/31.35 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.35 | | | | | | | | | | | | | | | | | | | | | | | | | | (6456) all_54_13 = e0
% 197.22/31.35 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.35 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5219), (6456) imply:
% 197.22/31.35 | | | | | | | | | | | | | | | | | | | | | | | | | | (6457) all_20_1 = e0
% 197.22/31.35 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.35 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5225), (6457) imply:
% 197.22/31.35 | | | | | | | | | | | | | | | | | | | | | | | | | | (6458) $false
% 197.22/31.35 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.35 | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (6458) is inconsistent.
% 197.22/31.35 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.35 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.22/31.35 | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.35 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.22/31.35 | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.35 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.22/31.35 | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.35 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.22/31.35 | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.35 | | | | | | | | | | | | | | | | | | | | | | | (6459) all_56_11 = e3 & op(e1, e0) = e3
% 197.22/31.35 | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.35 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (160), (6221), (6459), (function-axioms) are
% 197.22/31.35 | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1762.
% 197.22/31.35 | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.35 | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.22/31.35 | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.35 | | | | | | | | | | | | | | | | | | | | | End of split
% 197.22/31.35 | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.35 | | | | | | | | | | | | | | | | | | | | End of split
% 197.22/31.35 | | | | | | | | | | | | | | | | | | | |
% 197.22/31.35 | | | | | | | | | | | | | | | | | | | End of split
% 197.22/31.35 | | | | | | | | | | | | | | | | | | |
% 197.22/31.35 | | | | | | | | | | | | | | | | | | End of split
% 197.22/31.35 | | | | | | | | | | | | | | | | | |
% 197.22/31.35 | | | | | | | | | | | | | | | | | Case 2:
% 197.22/31.35 | | | | | | | | | | | | | | | | | |
% 197.22/31.35 | | | | | | | | | | | | | | | | | | (6460) (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_11 =
% 197.22/31.35 | | | | | | | | | | | | | | | | | | e2 & op(e1, e0) = e2)
% 197.22/31.35 | | | | | | | | | | | | | | | | | |
% 197.22/31.35 | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (160), (375), (6027), (6460),
% 197.22/31.35 | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 197.22/31.35 | | | | | | | | | | | | | | | | | | #1757.
% 197.22/31.35 | | | | | | | | | | | | | | | | | |
% 197.22/31.35 | | | | | | | | | | | | | | | | | End of split
% 197.22/31.35 | | | | | | | | | | | | | | | | |
% 197.22/31.35 | | | | | | | | | | | | | | | | Case 2:
% 197.22/31.35 | | | | | | | | | | | | | | | | |
% 197.22/31.35 | | | | | | | | | | | | | | | | | (6461) all_56_10 = e2 & op(e2, e0) = e2
% 197.22/31.35 | | | | | | | | | | | | | | | | |
% 197.22/31.35 | | | | | | | | | | | | | | | | | ALPHA: (6461) implies:
% 197.22/31.35 | | | | | | | | | | | | | | | | | (6462) op(e2, e0) = e2
% 197.22/31.35 | | | | | | | | | | | | | | | | |
% 197.22/31.35 | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (6026), (6462), (function-axioms) are
% 197.22/31.35 | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1941.
% 197.22/31.35 | | | | | | | | | | | | | | | | |
% 197.22/31.35 | | | | | | | | | | | | | | | | End of split
% 197.22/31.35 | | | | | | | | | | | | | | | |
% 197.22/31.35 | | | | | | | | | | | | | | | End of split
% 197.22/31.35 | | | | | | | | | | | | | | |
% 197.22/31.35 | | | | | | | | | | | | | | End of split
% 197.22/31.35 | | | | | | | | | | | | | |
% 197.22/31.35 | | | | | | | | | | | | | End of split
% 197.22/31.35 | | | | | | | | | | | | |
% 197.22/31.35 | | | | | | | | | | | | Case 2:
% 197.22/31.35 | | | | | | | | | | | | |
% 197.22/31.35 | | | | | | | | | | | | | (6463) (all_56_5 = e0 & op(e2, e1) = e0) | (all_56_10 =
% 197.22/31.35 | | | | | | | | | | | | | e0 & op(e2, e0) = e0)
% 197.22/31.35 | | | | | | | | | | | | |
% 197.22/31.35 | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (158), (162), (164),
% 197.22/31.35 | | | | | | | | | | | | | (222), (223), (224), (225), (226), (227), (228),
% 197.22/31.35 | | | | | | | | | | | | | (5197), (5198), (5200), (5204), (6463),
% 197.22/31.35 | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 197.22/31.35 | | | | | | | | | | | | | #1206.
% 197.22/31.35 | | | | | | | | | | | | |
% 197.22/31.35 | | | | | | | | | | | | End of split
% 197.22/31.35 | | | | | | | | | | | |
% 197.22/31.35 | | | | | | | | | | | End of split
% 197.22/31.35 | | | | | | | | | | |
% 197.22/31.35 | | | | | | | | | | End of split
% 197.22/31.35 | | | | | | | | | |
% 197.22/31.35 | | | | | | | | | Case 2:
% 197.22/31.35 | | | | | | | | | |
% 197.22/31.35 | | | | | | | | | | (6464) all_16_2 = e3
% 197.22/31.35 | | | | | | | | | | (6465) op(e3, e2) = all_16_1 & $i(all_16_1) & ( ~
% 197.22/31.35 | | | | | | | | | | (all_16_1 = e1) | ( ~ (all_16_0 = e0) & op(e1,
% 197.22/31.35 | | | | | | | | | | e3) = all_16_0 & $i(all_16_0)))
% 197.22/31.35 | | | | | | | | | |
% 197.22/31.35 | | | | | | | | | | ALPHA: (6465) implies:
% 197.22/31.35 | | | | | | | | | | (6466) op(e3, e2) = all_16_1
% 197.22/31.35 | | | | | | | | | | (6467) ~ (all_16_1 = e1) | ( ~ (all_16_0 = e0) & op(e1,
% 197.22/31.35 | | | | | | | | | | e3) = all_16_0 & $i(all_16_0))
% 197.22/31.35 | | | | | | | | | |
% 197.22/31.35 | | | | | | | | | | COMBINE_EQS: (328), (6464) imply:
% 197.22/31.35 | | | | | | | | | | (6468) all_6_2 = e3
% 197.22/31.35 | | | | | | | | | |
% 197.22/31.35 | | | | | | | | | | SIMP: (6468) implies:
% 197.22/31.35 | | | | | | | | | | (6469) all_6_2 = e3
% 197.22/31.35 | | | | | | | | | |
% 197.22/31.35 | | | | | | | | | | COMBINE_EQS: (332), (6469) imply:
% 197.22/31.35 | | | | | | | | | | (6470) all_38_2 = e3
% 197.22/31.35 | | | | | | | | | |
% 197.22/31.35 | | | | | | | | | | REDUCE: (351), (6469) imply:
% 197.22/31.35 | | | | | | | | | | (6471) ~ (all_52_4 = e3)
% 197.22/31.35 | | | | | | | | | |
% 197.22/31.35 | | | | | | | | | | REDUCE: (353), (6469) imply:
% 197.22/31.35 | | | | | | | | | | (6472) ~ (all_52_6 = e3)
% 197.22/31.35 | | | | | | | | | |
% 197.22/31.35 | | | | | | | | | | REDUCE: (355), (6469) imply:
% 197.22/31.35 | | | | | | | | | | (6473) ~ (all_52_7 = e3)
% 197.22/31.35 | | | | | | | | | |
% 197.22/31.35 | | | | | | | | | | REDUCE: (357), (6469) imply:
% 197.22/31.35 | | | | | | | | | | (6474) ~ (all_52_9 = e3)
% 197.22/31.35 | | | | | | | | | |
% 197.22/31.35 | | | | | | | | | | REDUCE: (359), (6469) imply:
% 197.22/31.35 | | | | | | | | | | (6475) ~ (all_52_13 = e3)
% 197.22/31.35 | | | | | | | | | |
% 197.22/31.35 | | | | | | | | | | REDUCE: (5159), (6469) imply:
% 197.22/31.35 | | | | | | | | | | (6476) ~ (all_14_1 = e3)
% 197.22/31.35 | | | | | | | | | |
% 197.22/31.35 | | | | | | | | | | REDUCE: (39), (6469) imply:
% 197.22/31.35 | | | | | | | | | | (6477) op(e2, e2) = e3
% 197.22/31.35 | | | | | | | | | |
% 197.22/31.35 | | | | | | | | | | BETA: splitting (228) gives:
% 197.22/31.35 | | | | | | | | | |
% 197.22/31.35 | | | | | | | | | | Case 1:
% 197.22/31.35 | | | | | | | | | | |
% 197.22/31.35 | | | | | | | | | | | (6478) (all_56_1 = e3 & op(e3, e2) = e3) | (all_56_3 = e3
% 197.22/31.35 | | | | | | | | | | | & op(e2, e2) = e3)
% 197.22/31.35 | | | | | | | | | | |
% 197.22/31.35 | | | | | | | | | | | BETA: splitting (6478) gives:
% 197.22/31.35 | | | | | | | | | | |
% 197.22/31.35 | | | | | | | | | | | Case 1:
% 197.22/31.35 | | | | | | | | | | | |
% 197.22/31.35 | | | | | | | | | | | | (6479) all_56_1 = e3 & op(e3, e2) = e3
% 197.22/31.35 | | | | | | | | | | | |
% 197.22/31.35 | | | | | | | | | | | | ALPHA: (6479) implies:
% 197.22/31.35 | | | | | | | | | | | | (6480) op(e3, e2) = e3
% 197.22/31.35 | | | | | | | | | | | |
% 197.22/31.35 | | | | | | | | | | | | REF_CLOSE: (170), (6471), (6480), (function-axioms) are
% 197.22/31.35 | | | | | | | | | | | | inconsistent by sub-proof #1931.
% 197.22/31.35 | | | | | | | | | | | |
% 197.22/31.35 | | | | | | | | | | | Case 2:
% 197.22/31.35 | | | | | | | | | | | |
% 197.22/31.35 | | | | | | | | | | | | (6481) all_56_3 = e3 & op(e2, e2) = e3
% 197.22/31.35 | | | | | | | | | | | |
% 197.22/31.35 | | | | | | | | | | | | ALPHA: (6481) implies:
% 197.22/31.35 | | | | | | | | | | | | (6482) all_56_3 = e3
% 197.22/31.35 | | | | | | | | | | | |
% 197.22/31.35 | | | | | | | | | | | | BETA: splitting (88) gives:
% 197.22/31.35 | | | | | | | | | | | |
% 197.22/31.35 | | | | | | | | | | | | Case 1:
% 197.22/31.35 | | | | | | | | | | | | |
% 197.22/31.35 | | | | | | | | | | | | | (6483) ~ (all_38_2 = e3)
% 197.22/31.35 | | | | | | | | | | | | |
% 197.22/31.35 | | | | | | | | | | | | | REDUCE: (6470), (6483) imply:
% 197.22/31.35 | | | | | | | | | | | | | (6484) $false
% 197.22/31.35 | | | | | | | | | | | | |
% 197.22/31.35 | | | | | | | | | | | | | CLOSE: (6484) is inconsistent.
% 197.22/31.35 | | | | | | | | | | | | |
% 197.22/31.35 | | | | | | | | | | | | Case 2:
% 197.22/31.35 | | | | | | | | | | | | |
% 197.22/31.35 | | | | | | | | | | | | | (6485) op(e3, e2) = all_38_1 & $i(all_38_1) & ( ~
% 197.22/31.35 | | | | | | | | | | | | | (all_38_1 = e0) | ( ~ (all_38_0 = e1) & op(e0,
% 197.22/31.35 | | | | | | | | | | | | | e3) = all_38_0 & $i(all_38_0)))
% 197.22/31.35 | | | | | | | | | | | | |
% 197.22/31.35 | | | | | | | | | | | | | ALPHA: (6485) implies:
% 197.22/31.35 | | | | | | | | | | | | | (6486) op(e3, e2) = all_38_1
% 197.22/31.35 | | | | | | | | | | | | |
% 197.22/31.35 | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_4,
% 197.22/31.35 | | | | | | | | | | | | | all_16_1, e2, e3, simplifying with (170), (6466)
% 197.22/31.35 | | | | | | | | | | | | | gives:
% 197.22/31.35 | | | | | | | | | | | | | (6487) all_52_4 = all_16_1
% 197.22/31.35 | | | | | | | | | | | | |
% 197.22/31.35 | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_4,
% 197.22/31.35 | | | | | | | | | | | | | all_38_1, e2, e3, simplifying with (170), (6486)
% 197.22/31.35 | | | | | | | | | | | | | gives:
% 197.22/31.36 | | | | | | | | | | | | | (6488) all_52_4 = all_38_1
% 197.22/31.36 | | | | | | | | | | | | |
% 197.22/31.36 | | | | | | | | | | | | | COMBINE_EQS: (6487), (6488) imply:
% 197.22/31.36 | | | | | | | | | | | | | (6489) all_38_1 = all_16_1
% 197.22/31.36 | | | | | | | | | | | | |
% 197.22/31.36 | | | | | | | | | | | | | SIMP: (6489) implies:
% 197.22/31.36 | | | | | | | | | | | | | (6490) all_38_1 = all_16_1
% 197.22/31.36 | | | | | | | | | | | | |
% 197.22/31.36 | | | | | | | | | | | | | COMBINE_EQS: (272), (6487) imply:
% 197.22/31.36 | | | | | | | | | | | | | (6491) all_54_1 = all_16_1
% 197.22/31.36 | | | | | | | | | | | | |
% 197.22/31.36 | | | | | | | | | | | | | REDUCE: (136), (6487) imply:
% 197.22/31.36 | | | | | | | | | | | | | (6492) ~ (all_52_6 = all_16_1)
% 197.22/31.36 | | | | | | | | | | | | |
% 197.22/31.36 | | | | | | | | | | | | | SIMP: (6492) implies:
% 197.22/31.36 | | | | | | | | | | | | | (6493) ~ (all_52_6 = all_16_1)
% 197.22/31.36 | | | | | | | | | | | | |
% 197.22/31.36 | | | | | | | | | | | | | REDUCE: (135), (6487) imply:
% 197.22/31.36 | | | | | | | | | | | | | (6494) ~ (all_52_7 = all_16_1)
% 197.22/31.36 | | | | | | | | | | | | |
% 197.22/31.36 | | | | | | | | | | | | | SIMP: (6494) implies:
% 197.22/31.36 | | | | | | | | | | | | | (6495) ~ (all_52_7 = all_16_1)
% 197.22/31.36 | | | | | | | | | | | | |
% 197.22/31.36 | | | | | | | | | | | | | REDUCE: (134), (6487) imply:
% 197.22/31.36 | | | | | | | | | | | | | (6496) ~ (all_52_8 = all_16_1)
% 197.22/31.36 | | | | | | | | | | | | |
% 197.22/31.36 | | | | | | | | | | | | | SIMP: (6496) implies:
% 197.22/31.36 | | | | | | | | | | | | | (6497) ~ (all_52_8 = all_16_1)
% 197.22/31.36 | | | | | | | | | | | | |
% 197.22/31.36 | | | | | | | | | | | | | REDUCE: (133), (6487) imply:
% 197.22/31.36 | | | | | | | | | | | | | (6498) ~ (all_52_12 = all_16_1)
% 197.22/31.36 | | | | | | | | | | | | |
% 197.22/31.36 | | | | | | | | | | | | | SIMP: (6498) implies:
% 197.22/31.36 | | | | | | | | | | | | | (6499) ~ (all_52_12 = all_16_1)
% 197.22/31.36 | | | | | | | | | | | | |
% 197.22/31.36 | | | | | | | | | | | | | REDUCE: (6471), (6487) imply:
% 197.22/31.36 | | | | | | | | | | | | | (6500) ~ (all_16_1 = e3)
% 197.22/31.36 | | | | | | | | | | | | |
% 197.22/31.36 | | | | | | | | | | | | | REDUCE: (5134), (6487) imply:
% 197.22/31.36 | | | | | | | | | | | | | (6501) ~ (all_16_1 = e2)
% 197.22/31.36 | | | | | | | | | | | | |
% 197.22/31.36 | | | | | | | | | | | | | BETA: splitting (76) gives:
% 197.22/31.36 | | | | | | | | | | | | |
% 197.22/31.36 | | | | | | | | | | | | | Case 1:
% 197.22/31.36 | | | | | | | | | | | | | |
% 197.22/31.36 | | | | | | | | | | | | | | (6502) ~ (all_30_2 = e2)
% 197.22/31.36 | | | | | | | | | | | | | |
% 197.22/31.36 | | | | | | | | | | | | | | REDUCE: (309), (6502) imply:
% 197.22/31.36 | | | | | | | | | | | | | | (6503) ~ (all_10_2 = e2)
% 197.22/31.36 | | | | | | | | | | | | | |
% 197.22/31.36 | | | | | | | | | | | | | | BETA: splitting (79) gives:
% 197.22/31.36 | | | | | | | | | | | | | |
% 197.22/31.36 | | | | | | | | | | | | | | Case 1:
% 197.22/31.36 | | | | | | | | | | | | | | |
% 197.22/31.36 | | | | | | | | | | | | | | | (6504) ~ (all_32_2 = e3)
% 197.22/31.36 | | | | | | | | | | | | | | |
% 197.22/31.36 | | | | | | | | | | | | | | | REDUCE: (301), (6504) imply:
% 197.22/31.36 | | | | | | | | | | | | | | | (6505) ~ (all_4_2 = e3)
% 197.22/31.36 | | | | | | | | | | | | | | |
% 197.22/31.36 | | | | | | | | | | | | | | | BETA: splitting (194) gives:
% 197.22/31.36 | | | | | | | | | | | | | | |
% 197.22/31.36 | | | | | | | | | | | | | | | Case 1:
% 197.22/31.36 | | | | | | | | | | | | | | | |
% 197.22/31.36 | | | | | | | | | | | | | | | | (6506) all_54_10 = e3
% 197.22/31.36 | | | | | | | | | | | | | | | |
% 197.22/31.36 | | | | | | | | | | | | | | | | REF_CLOSE: (335), (6505), (6506) are inconsistent by
% 197.22/31.36 | | | | | | | | | | | | | | | | sub-proof #1974.
% 197.22/31.36 | | | | | | | | | | | | | | | |
% 197.22/31.36 | | | | | | | | | | | | | | | Case 2:
% 197.22/31.36 | | | | | | | | | | | | | | | |
% 197.22/31.36 | | | | | | | | | | | | | | | | (6507) all_54_10 = e2 | all_54_10 = e1 | all_54_10 = e0
% 197.22/31.36 | | | | | | | | | | | | | | | |
% 197.22/31.36 | | | | | | | | | | | | | | | | BETA: splitting (6507) gives:
% 197.22/31.36 | | | | | | | | | | | | | | | |
% 197.22/31.36 | | | | | | | | | | | | | | | | Case 1:
% 197.22/31.36 | | | | | | | | | | | | | | | | |
% 197.22/31.36 | | | | | | | | | | | | | | | | | (6508) all_54_10 = e2
% 197.22/31.36 | | | | | | | | | | | | | | | | |
% 197.22/31.36 | | | | | | | | | | | | | | | | | REF_CLOSE: (335), (375), (6508) are inconsistent by sub-proof
% 197.22/31.36 | | | | | | | | | | | | | | | | | #1973.
% 197.22/31.36 | | | | | | | | | | | | | | | | |
% 197.22/31.36 | | | | | | | | | | | | | | | | Case 2:
% 197.22/31.36 | | | | | | | | | | | | | | | | |
% 197.22/31.36 | | | | | | | | | | | | | | | | | (6509) ~ (all_54_10 = e2)
% 197.22/31.36 | | | | | | | | | | | | | | | | | (6510) all_54_10 = e1 | all_54_10 = e0
% 197.22/31.36 | | | | | | | | | | | | | | | | |
% 197.22/31.36 | | | | | | | | | | | | | | | | | BETA: splitting (6510) gives:
% 197.22/31.36 | | | | | | | | | | | | | | | | |
% 197.22/31.36 | | | | | | | | | | | | | | | | | Case 1:
% 197.22/31.36 | | | | | | | | | | | | | | | | | |
% 197.22/31.36 | | | | | | | | | | | | | | | | | | (6511) all_54_10 = e1
% 197.22/31.36 | | | | | | | | | | | | | | | | | |
% 197.22/31.36 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (335), (6511) imply:
% 197.22/31.36 | | | | | | | | | | | | | | | | | | (6512) all_4_2 = e1
% 197.22/31.36 | | | | | | | | | | | | | | | | | |
% 197.22/31.36 | | | | | | | | | | | | | | | | | | SIMP: (6512) implies:
% 197.22/31.36 | | | | | | | | | | | | | | | | | | (6513) all_4_2 = e1
% 197.22/31.36 | | | | | | | | | | | | | | | | | |
% 197.22/31.36 | | | | | | | | | | | | | | | | | | REDUCE: (349), (6513) imply:
% 197.22/31.36 | | | | | | | | | | | | | | | | | | (6514) ~ (all_52_2 = e1)
% 197.22/31.36 | | | | | | | | | | | | | | | | | |
% 197.22/31.36 | | | | | | | | | | | | | | | | | | REDUCE: (360), (6513) imply:
% 197.22/31.36 | | | | | | | | | | | | | | | | | | (6515) ~ (all_52_6 = e1)
% 197.22/31.36 | | | | | | | | | | | | | | | | | |
% 197.22/31.36 | | | | | | | | | | | | | | | | | | REDUCE: (367), (6513) imply:
% 197.22/31.36 | | | | | | | | | | | | | | | | | | (6516) ~ (all_52_14 = e1)
% 197.22/31.36 | | | | | | | | | | | | | | | | | |
% 197.22/31.36 | | | | | | | | | | | | | | | | | | REDUCE: (36), (6513) imply:
% 197.22/31.36 | | | | | | | | | | | | | | | | | | (6517) op(e1, e1) = e1
% 197.22/31.36 | | | | | | | | | | | | | | | | | |
% 197.22/31.36 | | | | | | | | | | | | | | | | | | BETA: splitting (91) gives:
% 197.22/31.36 | | | | | | | | | | | | | | | | | |
% 197.22/31.36 | | | | | | | | | | | | | | | | | | Case 1:
% 197.22/31.36 | | | | | | | | | | | | | | | | | | |
% 197.22/31.36 | | | | | | | | | | | | | | | | | | | (6518) ~ (all_40_2 = e1)
% 197.22/31.36 | | | | | | | | | | | | | | | | | | |
% 197.22/31.36 | | | | | | | | | | | | | | | | | | | REDUCE: (307), (6518) imply:
% 197.22/31.36 | | | | | | | | | | | | | | | | | | | (6519) ~ (all_10_2 = e1)
% 197.22/31.36 | | | | | | | | | | | | | | | | | | |
% 197.22/31.36 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (45), (158), (159), (160), (162), (163), (167),
% 197.22/31.36 | | | | | | | | | | | | | | | | | | | (170), (189), (238), (246), (350), (361), (376),
% 197.22/31.36 | | | | | | | | | | | | | | | | | | | (5131), (6471), (6503), (6514), (6515), (6516),
% 197.22/31.36 | | | | | | | | | | | | | | | | | | | (6517), (6519), (function-axioms) are inconsistent
% 197.22/31.36 | | | | | | | | | | | | | | | | | | | by sub-proof #1121.
% 197.22/31.36 | | | | | | | | | | | | | | | | | | |
% 197.22/31.36 | | | | | | | | | | | | | | | | | | Case 2:
% 197.22/31.36 | | | | | | | | | | | | | | | | | | |
% 197.22/31.36 | | | | | | | | | | | | | | | | | | | (6520) all_40_2 = e1
% 197.22/31.36 | | | | | | | | | | | | | | | | | | |
% 197.22/31.36 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (307), (6520) imply:
% 197.22/31.36 | | | | | | | | | | | | | | | | | | | (6521) all_10_2 = e1
% 197.22/31.36 | | | | | | | | | | | | | | | | | | |
% 197.22/31.36 | | | | | | | | | | | | | | | | | | | SIMP: (6521) implies:
% 197.22/31.36 | | | | | | | | | | | | | | | | | | | (6522) all_10_2 = e1
% 197.22/31.36 | | | | | | | | | | | | | | | | | | |
% 197.22/31.36 | | | | | | | | | | | | | | | | | | | REDUCE: (376), (6522) imply:
% 197.22/31.36 | | | | | | | | | | | | | | | | | | | (6523) ~ (e3 = e1)
% 197.22/31.36 | | | | | | | | | | | | | | | | | | |
% 197.22/31.36 | | | | | | | | | | | | | | | | | | | REDUCE: (6503), (6522) imply:
% 197.22/31.36 | | | | | | | | | | | | | | | | | | | (6524) ~ (e2 = e1)
% 197.22/31.36 | | | | | | | | | | | | | | | | | | |
% 197.22/31.36 | | | | | | | | | | | | | | | | | | | REDUCE: (45), (6522) imply:
% 197.22/31.36 | | | | | | | | | | | | | | | | | | | (6525) op(e0, e0) = e1
% 197.22/31.36 | | | | | | | | | | | | | | | | | | |
% 197.22/31.36 | | | | | | | | | | | | | | | | | | | BETA: splitting (222) gives:
% 197.22/31.36 | | | | | | | | | | | | | | | | | | |
% 197.22/31.36 | | | | | | | | | | | | | | | | | | | Case 1:
% 197.22/31.36 | | | | | | | | | | | | | | | | | | | |
% 197.22/31.36 | | | | | | | | | | | | | | | | | | | | (6526) (all_56_2 = e1 & op(e2, e3) = e1) | (all_56_3 = e1
% 197.22/31.36 | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1)
% 197.22/31.36 | | | | | | | | | | | | | | | | | | | |
% 197.22/31.36 | | | | | | | | | | | | | | | | | | | | BETA: splitting (6526) gives:
% 197.22/31.36 | | | | | | | | | | | | | | | | | | | |
% 197.22/31.36 | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.22/31.36 | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.36 | | | | | | | | | | | | | | | | | | | | | (6527) all_56_2 = e1 & op(e2, e3) = e1
% 197.22/31.36 | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.36 | | | | | | | | | | | | | | | | | | | | | ALPHA: (6527) implies:
% 197.22/31.36 | | | | | | | | | | | | | | | | | | | | | (6528) op(e2, e3) = e1
% 197.22/31.36 | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.36 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (226) gives:
% 197.22/31.36 | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.36 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.22/31.36 | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.36 | | | | | | | | | | | | | | | | | | | | | | (6529) (all_56_1 = e1 & op(e3, e2) = e1) | (all_56_3 = e1
% 197.22/31.36 | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1)
% 197.22/31.36 | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.36 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (128), (140), (143), (144), (162), (163),
% 197.22/31.36 | | | | | | | | | | | | | | | | | | | | | | (191), (192), (195), (196), (248), (249), (258),
% 197.22/31.36 | | | | | | | | | | | | | | | | | | | | | | (259), (5128), (5129), (5133), (5152), (5154),
% 197.22/31.36 | | | | | | | | | | | | | | | | | | | | | | (6466), (6467), (6472), (6473), (6477), (6493),
% 197.22/31.36 | | | | | | | | | | | | | | | | | | | | | | (6495), (6528), (6529), (function-axioms) are
% 197.22/31.36 | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #911.
% 197.22/31.36 | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.36 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.22/31.36 | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.36 | | | | | | | | | | | | | | | | | | | | | | (6530) (all_56_7 = e1 & op(e1, e2) = e1) | (all_56_13 =
% 197.22/31.36 | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e2) = e1)
% 197.22/31.36 | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.36 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6530) gives:
% 197.22/31.36 | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.36 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.22/31.36 | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.36 | | | | | | | | | | | | | | | | | | | | | | | (6531) all_56_7 = e1 & op(e1, e2) = e1
% 197.22/31.36 | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.36 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6531) implies:
% 197.22/31.36 | | | | | | | | | | | | | | | | | | | | | | | (6532) op(e1, e2) = e1
% 197.22/31.36 | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.36 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (162), (6515), (6532), (function-axioms) are
% 197.22/31.36 | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1480.
% 197.22/31.36 | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.36 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.22/31.36 | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.36 | | | | | | | | | | | | | | | | | | | | | | | (6533) all_56_13 = e1 & op(e0, e2) = e1
% 197.22/31.36 | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.36 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6533) implies:
% 197.22/31.36 | | | | | | | | | | | | | | | | | | | | | | | (6534) all_56_13 = e1
% 197.22/31.36 | | | | | | | | | | | | | | | | | | | | | | | (6535) op(e0, e2) = e1
% 197.22/31.36 | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.36 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (159), (206), (208),
% 197.22/31.36 | | | | | | | | | | | | | | | | | | | | | | | (209), (225), (226), (227), (5133), (6477),
% 197.22/31.36 | | | | | | | | | | | | | | | | | | | | | | | (6525), (6534), (6535), (function-axioms) are
% 197.22/31.36 | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1056.
% 197.22/31.36 | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.36 | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.22/31.36 | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.36 | | | | | | | | | | | | | | | | | | | | | End of split
% 197.22/31.36 | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.36 | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.22/31.36 | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.36 | | | | | | | | | | | | | | | | | | | | | (6536) all_56_3 = e1 & op(e2, e2) = e1
% 197.22/31.36 | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.36 | | | | | | | | | | | | | | | | | | | | | ALPHA: (6536) implies:
% 197.22/31.36 | | | | | | | | | | | | | | | | | | | | | (6537) op(e2, e2) = e1
% 197.22/31.36 | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.36 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (6477), (6537), (function-axioms) are
% 197.22/31.36 | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1684.
% 197.22/31.36 | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.36 | | | | | | | | | | | | | | | | | | | | End of split
% 197.22/31.36 | | | | | | | | | | | | | | | | | | | |
% 197.22/31.36 | | | | | | | | | | | | | | | | | | | Case 2:
% 197.22/31.36 | | | | | | | | | | | | | | | | | | | |
% 197.22/31.36 | | | | | | | | | | | | | | | | | | | | (6538) (all_56_5 = e1 & op(e2, e1) = e1) | (all_56_10 =
% 197.22/31.36 | | | | | | | | | | | | | | | | | | | | e1 & op(e2, e0) = e1)
% 197.22/31.36 | | | | | | | | | | | | | | | | | | | |
% 197.22/31.36 | | | | | | | | | | | | | | | | | | | | BETA: splitting (6538) gives:
% 197.22/31.36 | | | | | | | | | | | | | | | | | | | |
% 197.22/31.36 | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.22/31.36 | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.36 | | | | | | | | | | | | | | | | | | | | | (6539) all_56_5 = e1 & op(e2, e1) = e1
% 197.22/31.36 | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.36 | | | | | | | | | | | | | | | | | | | | | ALPHA: (6539) implies:
% 197.22/31.36 | | | | | | | | | | | | | | | | | | | | | (6540) all_56_5 = e1
% 197.22/31.36 | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.36 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (169), (217),
% 197.22/31.36 | | | | | | | | | | | | | | | | | | | | | (219), (220), (335), (372), (375), (5135), (6510),
% 197.22/31.36 | | | | | | | | | | | | | | | | | | | | | (6517), (6540), (function-axioms) are inconsistent
% 197.22/31.36 | | | | | | | | | | | | | | | | | | | | | by sub-proof #910.
% 197.22/31.36 | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.36 | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.22/31.36 | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.36 | | | | | | | | | | | | | | | | | | | | | (6541) all_56_10 = e1 & op(e2, e0) = e1
% 197.22/31.36 | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.36 | | | | | | | | | | | | | | | | | | | | | ALPHA: (6541) implies:
% 197.22/31.36 | | | | | | | | | | | | | | | | | | | | | (6542) all_56_10 = e1
% 197.22/31.36 | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.36 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (223) gives:
% 197.22/31.36 | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.36 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.22/31.36 | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.36 | | | | | | | | | | | | | | | | | | | | | | (6543) (all_56_2 = e2 & op(e2, e3) = e2) | (all_56_3 = e2
% 197.22/31.36 | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e2)
% 197.22/31.36 | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.36 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (167), (5131), (6477), (6543),
% 197.22/31.36 | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 197.22/31.36 | | | | | | | | | | | | | | | | | | | | | | #909.
% 197.22/31.36 | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.36 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.22/31.36 | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.36 | | | | | | | | | | | | | | | | | | | | | | (6544) (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_10 =
% 197.22/31.36 | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2)
% 197.22/31.36 | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.36 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6544) gives:
% 197.22/31.36 | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.36 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.22/31.36 | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.36 | | | | | | | | | | | | | | | | | | | | | | | (6545) all_56_5 = e2 & op(e2, e1) = e2
% 197.22/31.36 | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.36 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6545) implies:
% 197.22/31.36 | | | | | | | | | | | | | | | | | | | | | | | (6546) all_56_5 = e2
% 197.22/31.36 | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.36 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (211) gives:
% 197.22/31.36 | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.36 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.22/31.36 | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.36 | | | | | | | | | | | | | | | | | | | | | | | | (6547) (all_56_9 = e2 & op(e3, e0) = e2) | (all_56_10 =
% 197.22/31.36 | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2)
% 197.22/31.36 | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.36 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6547) gives:
% 197.22/31.36 | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.36 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.22/31.36 | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.36 | | | | | | | | | | | | | | | | | | | | | | | | | (6548) all_56_9 = e2 & op(e3, e0) = e2
% 197.22/31.36 | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.36 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6548) implies:
% 197.22/31.36 | | | | | | | | | | | | | | | | | | | | | | | | | (6549) all_56_9 = e2
% 197.22/31.36 | | | | | | | | | | | | | | | | | | | | | | | | | (6550) op(e3, e0) = e2
% 197.22/31.36 | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.36 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (8), (9), (45), (206), (212),
% 197.22/31.36 | | | | | | | | | | | | | | | | | | | | | | | | | (376), (6525), (6542), (6549), (6550),
% 197.22/31.36 | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 197.22/31.36 | | | | | | | | | | | | | | | | | | | | | | | | | #1562.
% 197.22/31.36 | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.36 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.22/31.36 | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.36 | | | | | | | | | | | | | | | | | | | | | | | | | (6551) all_56_10 = e2 & op(e2, e0) = e2
% 197.22/31.36 | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.36 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6551) implies:
% 197.22/31.36 | | | | | | | | | | | | | | | | | | | | | | | | | (6552) all_56_10 = e2
% 197.22/31.36 | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.36 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (6542), (6552) imply:
% 197.22/31.36 | | | | | | | | | | | | | | | | | | | | | | | | | (6553) e2 = e1
% 197.22/31.36 | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.36 | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6553) implies:
% 197.22/31.36 | | | | | | | | | | | | | | | | | | | | | | | | | (6554) e2 = e1
% 197.22/31.36 | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.36 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (6546), (6554) imply:
% 197.22/31.36 | | | | | | | | | | | | | | | | | | | | | | | | | (6555) all_56_5 = e1
% 197.22/31.36 | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.36 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (169), (217),
% 197.22/31.36 | | | | | | | | | | | | | | | | | | | | | | | | | (219), (220), (335), (372), (375), (5135), (6510),
% 197.22/31.36 | | | | | | | | | | | | | | | | | | | | | | | | | (6517), (6555), (function-axioms) are inconsistent
% 197.22/31.36 | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #910.
% 197.22/31.36 | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.36 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.22/31.36 | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.36 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.22/31.36 | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.36 | | | | | | | | | | | | | | | | | | | | | | | | (6556) (all_56_11 = e2 & op(e1, e0) = e2) | (all_56_15 =
% 197.22/31.36 | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = e2)
% 197.22/31.36 | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.36 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6556) gives:
% 197.22/31.36 | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.36 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.22/31.36 | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.36 | | | | | | | | | | | | | | | | | | | | | | | | | (6557) all_56_11 = e2 & op(e1, e0) = e2
% 197.22/31.36 | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.36 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6557) implies:
% 197.22/31.36 | | | | | | | | | | | | | | | | | | | | | | | | | (6558) all_56_11 = e2
% 197.22/31.36 | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.36 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (8), (9), (206), (212), (6525),
% 197.22/31.36 | | | | | | | | | | | | | | | | | | | | | | | | | (6542), (6558), (function-axioms) are inconsistent
% 197.22/31.36 | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1668.
% 197.22/31.36 | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.36 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.22/31.36 | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.36 | | | | | | | | | | | | | | | | | | | | | | | | | (6559) all_56_15 = e2 & op(e0, e0) = e2
% 197.22/31.36 | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.36 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6559) implies:
% 197.22/31.36 | | | | | | | | | | | | | | | | | | | | | | | | | (6560) op(e0, e0) = e2
% 197.22/31.36 | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.36 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (6525), (6560), (function-axioms) are
% 197.22/31.36 | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1843.
% 197.22/31.36 | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.36 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.22/31.36 | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.36 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.22/31.36 | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.36 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.22/31.36 | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.36 | | | | | | | | | | | | | | | | | | | | | | | (6561) all_56_10 = e2 & op(e2, e0) = e2
% 197.22/31.36 | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.36 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6561) implies:
% 197.22/31.36 | | | | | | | | | | | | | | | | | | | | | | | (6562) all_56_10 = e2
% 197.22/31.36 | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.36 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (6542), (6562) are inconsistent by sub-proof
% 197.22/31.36 | | | | | | | | | | | | | | | | | | | | | | | #1453.
% 197.22/31.36 | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.36 | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.22/31.36 | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.36 | | | | | | | | | | | | | | | | | | | | | End of split
% 197.22/31.36 | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.36 | | | | | | | | | | | | | | | | | | | | End of split
% 197.22/31.36 | | | | | | | | | | | | | | | | | | | |
% 197.22/31.36 | | | | | | | | | | | | | | | | | | | End of split
% 197.22/31.36 | | | | | | | | | | | | | | | | | | |
% 197.22/31.36 | | | | | | | | | | | | | | | | | | End of split
% 197.22/31.36 | | | | | | | | | | | | | | | | | |
% 197.22/31.36 | | | | | | | | | | | | | | | | | Case 2:
% 197.22/31.36 | | | | | | | | | | | | | | | | | |
% 197.22/31.36 | | | | | | | | | | | | | | | | | | (6563) all_54_10 = e0
% 197.22/31.36 | | | | | | | | | | | | | | | | | |
% 197.22/31.36 | | | | | | | | | | | | | | | | | | REF_CLOSE: (335), (372), (6563) are inconsistent by sub-proof
% 197.22/31.36 | | | | | | | | | | | | | | | | | | #1950.
% 197.22/31.36 | | | | | | | | | | | | | | | | | |
% 197.22/31.36 | | | | | | | | | | | | | | | | | End of split
% 197.22/31.36 | | | | | | | | | | | | | | | | |
% 197.22/31.36 | | | | | | | | | | | | | | | | End of split
% 197.22/31.36 | | | | | | | | | | | | | | | |
% 197.22/31.36 | | | | | | | | | | | | | | | End of split
% 197.22/31.36 | | | | | | | | | | | | | | |
% 197.22/31.36 | | | | | | | | | | | | | | Case 2:
% 197.22/31.36 | | | | | | | | | | | | | | |
% 197.22/31.36 | | | | | | | | | | | | | | | (6564) all_32_2 = e3
% 197.22/31.36 | | | | | | | | | | | | | | | (6565) op(e3, e1) = all_32_1 & $i(all_32_1) & ( ~
% 197.22/31.36 | | | | | | | | | | | | | | | (all_32_1 = e0) | ( ~ (all_32_0 = e2) & op(e0,
% 197.22/31.36 | | | | | | | | | | | | | | | e3) = all_32_0 & $i(all_32_0)))
% 197.22/31.36 | | | | | | | | | | | | | | |
% 197.22/31.36 | | | | | | | | | | | | | | | ALPHA: (6565) implies:
% 197.22/31.36 | | | | | | | | | | | | | | | (6566) op(e3, e1) = all_32_1
% 197.22/31.36 | | | | | | | | | | | | | | | (6567) ~ (all_32_1 = e0) | ( ~ (all_32_0 = e2) & op(e0,
% 197.22/31.36 | | | | | | | | | | | | | | | e3) = all_32_0 & $i(all_32_0))
% 197.22/31.36 | | | | | | | | | | | | | | |
% 197.22/31.36 | | | | | | | | | | | | | | | COMBINE_EQS: (301), (6564) imply:
% 197.22/31.36 | | | | | | | | | | | | | | | (6568) all_4_2 = e3
% 197.22/31.36 | | | | | | | | | | | | | | |
% 197.22/31.36 | | | | | | | | | | | | | | | COMBINE_EQS: (295), (6568) imply:
% 197.22/31.36 | | | | | | | | | | | | | | | (6569) all_50_2 = e3
% 197.22/31.36 | | | | | | | | | | | | | | |
% 197.22/31.36 | | | | | | | | | | | | | | | REDUCE: (349), (6568) imply:
% 197.22/31.36 | | | | | | | | | | | | | | | (6570) ~ (all_52_2 = e3)
% 197.22/31.36 | | | | | | | | | | | | | | |
% 197.22/31.36 | | | | | | | | | | | | | | | REDUCE: (362), (6568) imply:
% 197.22/31.36 | | | | | | | | | | | | | | | (6571) ~ (all_52_8 = e3)
% 197.22/31.36 | | | | | | | | | | | | | | |
% 197.22/31.36 | | | | | | | | | | | | | | | REDUCE: (367), (6568) imply:
% 197.22/31.36 | | | | | | | | | | | | | | | (6572) ~ (all_52_14 = e3)
% 197.22/31.36 | | | | | | | | | | | | | | |
% 197.22/31.36 | | | | | | | | | | | | | | | REDUCE: (36), (6568) imply:
% 197.22/31.36 | | | | | | | | | | | | | | | (6573) op(e1, e1) = e3
% 197.22/31.36 | | | | | | | | | | | | | | |
% 197.22/31.36 | | | | | | | | | | | | | | | BETA: splitting (106) gives:
% 197.22/31.36 | | | | | | | | | | | | | | |
% 197.22/31.36 | | | | | | | | | | | | | | | Case 1:
% 197.22/31.36 | | | | | | | | | | | | | | | |
% 197.22/31.36 | | | | | | | | | | | | | | | | (6574) ~ (all_50_2 = e3)
% 197.22/31.36 | | | | | | | | | | | | | | | |
% 197.22/31.36 | | | | | | | | | | | | | | | | REDUCE: (6569), (6574) imply:
% 197.22/31.36 | | | | | | | | | | | | | | | | (6575) $false
% 197.22/31.36 | | | | | | | | | | | | | | | |
% 197.22/31.36 | | | | | | | | | | | | | | | | CLOSE: (6575) is inconsistent.
% 197.22/31.36 | | | | | | | | | | | | | | | |
% 197.22/31.36 | | | | | | | | | | | | | | | Case 2:
% 197.22/31.36 | | | | | | | | | | | | | | | |
% 197.22/31.36 | | | | | | | | | | | | | | | | (6576) op(e3, e1) = all_50_1 & $i(all_50_1) & ( ~
% 197.22/31.36 | | | | | | | | | | | | | | | | (all_50_1 = e2) | ( ~ (all_50_0 = e0) & op(e2,
% 197.22/31.36 | | | | | | | | | | | | | | | | e3) = all_50_0 & $i(all_50_0)))
% 197.22/31.36 | | | | | | | | | | | | | | | |
% 197.22/31.36 | | | | | | | | | | | | | | | | ALPHA: (6576) implies:
% 197.22/31.36 | | | | | | | | | | | | | | | | (6577) op(e3, e1) = all_50_1
% 197.22/31.36 | | | | | | | | | | | | | | | |
% 197.22/31.36 | | | | | | | | | | | | | | | | BETA: splitting (235) gives:
% 197.22/31.36 | | | | | | | | | | | | | | | |
% 197.22/31.36 | | | | | | | | | | | | | | | | Case 1:
% 197.22/31.36 | | | | | | | | | | | | | | | | |
% 197.22/31.36 | | | | | | | | | | | | | | | | | (6578) (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_2 = e3
% 197.22/31.36 | | | | | | | | | | | | | | | | | & op(e2, e3) = e3)
% 197.22/31.36 | | | | | | | | | | | | | | | | |
% 197.22/31.36 | | | | | | | | | | | | | | | | | BETA: splitting (6578) gives:
% 197.22/31.36 | | | | | | | | | | | | | | | | |
% 197.22/31.36 | | | | | | | | | | | | | | | | | Case 1:
% 197.22/31.36 | | | | | | | | | | | | | | | | | |
% 197.22/31.36 | | | | | | | | | | | | | | | | | | (6579) all_56_0 = e3 & op(e3, e3) = e3
% 197.22/31.36 | | | | | | | | | | | | | | | | | |
% 197.22/31.36 | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (5144), (6579) are inconsistent by sub-proof
% 197.22/31.36 | | | | | | | | | | | | | | | | | | #1645.
% 197.22/31.36 | | | | | | | | | | | | | | | | | |
% 197.22/31.36 | | | | | | | | | | | | | | | | | Case 2:
% 197.22/31.36 | | | | | | | | | | | | | | | | | |
% 197.22/31.36 | | | | | | | | | | | | | | | | | | (6580) all_56_2 = e3 & op(e2, e3) = e3
% 197.22/31.36 | | | | | | | | | | | | | | | | | |
% 197.22/31.36 | | | | | | | | | | | | | | | | | | REF_CLOSE: (5128), (6476), (6580), (function-axioms) are
% 197.22/31.36 | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #934.
% 197.22/31.36 | | | | | | | | | | | | | | | | | |
% 197.22/31.36 | | | | | | | | | | | | | | | | | End of split
% 197.22/31.36 | | | | | | | | | | | | | | | | |
% 197.22/31.36 | | | | | | | | | | | | | | | | Case 2:
% 197.22/31.36 | | | | | | | | | | | | | | | | |
% 197.22/31.36 | | | | | | | | | | | | | | | | | (6581) (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_12 =
% 197.22/31.36 | | | | | | | | | | | | | | | | | e3 & op(e0, e3) = e3)
% 197.22/31.36 | | | | | | | | | | | | | | | | |
% 197.22/31.36 | | | | | | | | | | | | | | | | | BETA: splitting (6581) gives:
% 197.22/31.36 | | | | | | | | | | | | | | | | |
% 197.22/31.36 | | | | | | | | | | | | | | | | | Case 1:
% 197.22/31.36 | | | | | | | | | | | | | | | | | |
% 197.22/31.36 | | | | | | | | | | | | | | | | | | (6582) all_56_6 = e3 & op(e1, e3) = e3
% 197.22/31.36 | | | | | | | | | | | | | | | | | |
% 197.22/31.36 | | | | | | | | | | | | | | | | | | REF_CLOSE: (163), (6570), (6582), (function-axioms) are
% 197.22/31.36 | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1396.
% 197.22/31.36 | | | | | | | | | | | | | | | | | |
% 197.22/31.36 | | | | | | | | | | | | | | | | | Case 2:
% 197.22/31.36 | | | | | | | | | | | | | | | | | |
% 197.22/31.36 | | | | | | | | | | | | | | | | | | (6583) all_56_12 = e3 & op(e0, e3) = e3
% 197.22/31.36 | | | | | | | | | | | | | | | | | |
% 197.22/31.36 | | | | | | | | | | | | | | | | | | ALPHA: (6583) implies:
% 197.22/31.36 | | | | | | | | | | | | | | | | | | (6584) all_56_12 = e3
% 197.22/31.36 | | | | | | | | | | | | | | | | | | (6585) op(e0, e3) = e3
% 197.22/31.36 | | | | | | | | | | | | | | | | | |
% 197.22/31.36 | | | | | | | | | | | | | | | | | | BETA: splitting (212) gives:
% 197.22/31.36 | | | | | | | | | | | | | | | | | |
% 197.22/31.36 | | | | | | | | | | | | | | | | | | Case 1:
% 197.22/31.36 | | | | | | | | | | | | | | | | | | |
% 197.22/31.36 | | | | | | | | | | | | | | | | | | | (6586) (all_56_9 = e3 & op(e3, e0) = e3) | (all_56_10 =
% 197.22/31.36 | | | | | | | | | | | | | | | | | | | e3 & op(e2, e0) = e3)
% 197.22/31.36 | | | | | | | | | | | | | | | | | | |
% 197.22/31.36 | | | | | | | | | | | | | | | | | | | BETA: splitting (6586) gives:
% 197.22/31.36 | | | | | | | | | | | | | | | | | | |
% 197.22/31.36 | | | | | | | | | | | | | | | | | | | Case 1:
% 197.22/31.36 | | | | | | | | | | | | | | | | | | | |
% 197.22/31.36 | | | | | | | | | | | | | | | | | | | | (6587) all_56_9 = e3 & op(e3, e0) = e3
% 197.22/31.36 | | | | | | | | | | | | | | | | | | | |
% 197.22/31.36 | | | | | | | | | | | | | | | | | | | | ALPHA: (6587) implies:
% 197.22/31.36 | | | | | | | | | | | | | | | | | | | | (6588) all_56_9 = e3
% 197.22/31.36 | | | | | | | | | | | | | | | | | | | | (6589) op(e3, e0) = e3
% 197.22/31.36 | | | | | | | | | | | | | | | | | | | |
% 197.22/31.36 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_3, e3,
% 197.22/31.36 | | | | | | | | | | | | | | | | | | | | e3, e0, simplifying with (159), (6585) gives:
% 197.22/31.36 | | | | | | | | | | | | | | | | | | | | (6590) all_52_3 = e3
% 197.22/31.36 | | | | | | | | | | | | | | | | | | | |
% 197.22/31.36 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_12,
% 197.22/31.36 | | | | | | | | | | | | | | | | | | | | e3, e0, e3, simplifying with (168), (6589) gives:
% 197.22/31.36 | | | | | | | | | | | | | | | | | | | | (6591) all_52_12 = e3
% 197.22/31.36 | | | | | | | | | | | | | | | | | | | |
% 197.22/31.36 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_8,
% 197.22/31.36 | | | | | | | | | | | | | | | | | | | | all_32_1, e1, e3, simplifying with (169), (6566)
% 197.22/31.36 | | | | | | | | | | | | | | | | | | | | gives:
% 197.22/31.36 | | | | | | | | | | | | | | | | | | | | (6592) all_52_8 = all_32_1
% 197.22/31.36 | | | | | | | | | | | | | | | | | | | |
% 197.22/31.36 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_8,
% 197.22/31.36 | | | | | | | | | | | | | | | | | | | | all_50_1, e1, e3, simplifying with (169), (6577)
% 197.22/31.36 | | | | | | | | | | | | | | | | | | | | gives:
% 197.22/31.36 | | | | | | | | | | | | | | | | | | | | (6593) all_52_8 = all_50_1
% 197.22/31.36 | | | | | | | | | | | | | | | | | | | |
% 197.22/31.36 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (6592), (6593) imply:
% 197.22/31.36 | | | | | | | | | | | | | | | | | | | | (6594) all_50_1 = all_32_1
% 197.22/31.36 | | | | | | | | | | | | | | | | | | | |
% 197.22/31.36 | | | | | | | | | | | | | | | | | | | | SIMP: (6594) implies:
% 197.22/31.36 | | | | | | | | | | | | | | | | | | | | (6595) all_50_1 = all_32_1
% 197.22/31.36 | | | | | | | | | | | | | | | | | | | |
% 197.22/31.36 | | | | | | | | | | | | | | | | | | | | REDUCE: (140), (6590) imply:
% 197.22/31.36 | | | | | | | | | | | | | | | | | | | | (6596) ~ (all_52_7 = e3)
% 197.22/31.36 | | | | | | | | | | | | | | | | | | | |
% 197.22/31.36 | | | | | | | | | | | | | | | | | | | | REDUCE: (139), (6590) imply:
% 197.22/31.36 | | | | | | | | | | | | | | | | | | | | (6597) ~ (all_52_11 = e3)
% 197.22/31.36 | | | | | | | | | | | | | | | | | | | |
% 197.22/31.36 | | | | | | | | | | | | | | | | | | | | SIMP: (6597) implies:
% 197.22/31.36 | | | | | | | | | | | | | | | | | | | | (6598) ~ (all_52_11 = e3)
% 197.22/31.36 | | | | | | | | | | | | | | | | | | | |
% 197.22/31.36 | | | | | | | | | | | | | | | | | | | | REDUCE: (5154), (6590) imply:
% 197.22/31.36 | | | | | | | | | | | | | | | | | | | | (6599) ~ (all_14_1 = e3)
% 197.22/31.36 | | | | | | | | | | | | | | | | | | | |
% 197.22/31.36 | | | | | | | | | | | | | | | | | | | | REDUCE: (6497), (6592) imply:
% 197.22/31.36 | | | | | | | | | | | | | | | | | | | | (6600) ~ (all_32_1 = all_16_1)
% 197.22/31.36 | | | | | | | | | | | | | | | | | | | |
% 197.22/31.36 | | | | | | | | | | | | | | | | | | | | REDUCE: (113), (6591) imply:
% 197.22/31.36 | | | | | | | | | | | | | | | | | | | | (6601) ~ (all_52_13 = e3)
% 197.22/31.36 | | | | | | | | | | | | | | | | | | | |
% 197.22/31.36 | | | | | | | | | | | | | | | | | | | | REDUCE: (112), (6591) imply:
% 197.22/31.36 | | | | | | | | | | | | | | | | | | | | (6602) ~ (all_52_14 = e3)
% 197.22/31.36 | | | | | | | | | | | | | | | | | | | |
% 197.22/31.36 | | | | | | | | | | | | | | | | | | | | REDUCE: (6499), (6591) imply:
% 197.22/31.36 | | | | | | | | | | | | | | | | | | | | (6603) ~ (all_16_1 = e3)
% 197.22/31.36 | | | | | | | | | | | | | | | | | | | |
% 197.22/31.36 | | | | | | | | | | | | | | | | | | | | REDUCE: (369), (6591) imply:
% 197.22/31.36 | | | | | | | | | | | | | | | | | | | | (6604) ~ (all_10_2 = e3)
% 197.22/31.36 | | | | | | | | | | | | | | | | | | | |
% 197.22/31.36 | | | | | | | | | | | | | | | | | | | | BETA: splitting (91) gives:
% 197.22/31.36 | | | | | | | | | | | | | | | | | | | |
% 197.22/31.36 | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.22/31.36 | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.36 | | | | | | | | | | | | | | | | | | | | | (6605) ~ (all_40_2 = e1)
% 197.22/31.36 | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.36 | | | | | | | | | | | | | | | | | | | | | REDUCE: (307), (6605) imply:
% 197.22/31.36 | | | | | | | | | | | | | | | | | | | | | (6606) ~ (all_10_2 = e1)
% 197.22/31.36 | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.36 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (189) gives:
% 197.22/31.36 | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.36 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.22/31.36 | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.36 | | | | | | | | | | | | | | | | | | | | | | (6607) all_54_15 = e3
% 197.22/31.36 | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.36 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (246), (376), (6607) are inconsistent by sub-proof
% 197.22/31.36 | | | | | | | | | | | | | | | | | | | | | | #1900.
% 197.22/31.36 | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.36 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.22/31.36 | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.36 | | | | | | | | | | | | | | | | | | | | | | (6608) ~ (all_54_15 = e3)
% 197.22/31.36 | | | | | | | | | | | | | | | | | | | | | | (6609) all_54_15 = e2 | all_54_15 = e1 | all_54_15 = e0
% 197.22/31.36 | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.36 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6609) gives:
% 197.22/31.36 | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.36 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.22/31.36 | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.36 | | | | | | | | | | | | | | | | | | | | | | | (6610) all_54_15 = e2
% 197.22/31.36 | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.36 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (246), (6503), (6610) are inconsistent by
% 197.22/31.36 | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1899.
% 197.22/31.36 | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.36 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.22/31.36 | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.36 | | | | | | | | | | | | | | | | | | | | | | | (6611) ~ (all_54_15 = e2)
% 197.22/31.36 | | | | | | | | | | | | | | | | | | | | | | | (6612) all_54_15 = e1 | all_54_15 = e0
% 197.22/31.36 | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.36 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6612) gives:
% 197.22/31.36 | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.36 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.22/31.36 | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.36 | | | | | | | | | | | | | | | | | | | | | | | | (6613) all_54_15 = e1
% 197.22/31.36 | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.36 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (246), (6606), (6613) are inconsistent by
% 197.22/31.36 | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1898.
% 197.22/31.36 | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.36 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.22/31.36 | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.36 | | | | | | | | | | | | | | | | | | | | | | | | (6614) all_54_15 = e0
% 197.22/31.36 | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.36 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (246), (6614) imply:
% 197.22/31.36 | | | | | | | | | | | | | | | | | | | | | | | | (6615) all_10_2 = e0
% 197.22/31.36 | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.36 | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6615) implies:
% 197.22/31.36 | | | | | | | | | | | | | | | | | | | | | | | | (6616) all_10_2 = e0
% 197.22/31.36 | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.36 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (361), (6616) imply:
% 197.22/31.36 | | | | | | | | | | | | | | | | | | | | | | | | (6617) ~ (all_52_7 = e0)
% 197.22/31.36 | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.36 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (368), (6616) imply:
% 197.22/31.36 | | | | | | | | | | | | | | | | | | | | | | | | (6618) ~ (all_52_11 = e0)
% 197.22/31.36 | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.36 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (370), (6616) imply:
% 197.22/31.36 | | | | | | | | | | | | | | | | | | | | | | | | (6619) ~ (all_52_13 = e0)
% 197.22/31.36 | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.36 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (376), (6616) imply:
% 197.22/31.36 | | | | | | | | | | | | | | | | | | | | | | | | (6620) ~ (e3 = e0)
% 197.22/31.36 | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.36 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6503), (6616) imply:
% 197.22/31.36 | | | | | | | | | | | | | | | | | | | | | | | | (6621) ~ (e2 = e0)
% 197.22/31.36 | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.36 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6606), (6616) imply:
% 197.22/31.36 | | | | | | | | | | | | | | | | | | | | | | | | (6622) ~ (e1 = e0)
% 197.22/31.36 | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.36 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (45), (6616) imply:
% 197.22/31.36 | | | | | | | | | | | | | | | | | | | | | | | | (6623) op(e0, e0) = e0
% 197.22/31.36 | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.36 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (215) gives:
% 197.22/31.36 | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.36 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.22/31.36 | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.36 | | | | | | | | | | | | | | | | | | | | | | | | | (6624) (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_7 = e2
% 197.22/31.36 | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e2)
% 197.22/31.36 | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.36 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6624) gives:
% 197.22/31.36 | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.36 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.22/31.36 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.36 | | | | | | | | | | | | | | | | | | | | | | | | | | (6625) all_56_6 = e2 & op(e1, e3) = e2
% 197.22/31.36 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.36 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (163), (5132), (6625), (function-axioms) are
% 197.22/31.36 | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1306.
% 197.22/31.36 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.36 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.22/31.36 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.36 | | | | | | | | | | | | | | | | | | | | | | | | | | (6626) all_56_7 = e2 & op(e1, e2) = e2
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6626) implies:
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | | (6627) all_56_7 = e2
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | | (6628) op(e1, e2) = e2
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (225) gives:
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | (6629) (all_56_1 = e0 & op(e3, e2) = e0) | (all_56_3 = e0
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e0)
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6629) gives:
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6630) all_56_1 = e0 & op(e3, e2) = e0
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6630) implies:
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6631) all_56_1 = e0
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6632) op(e3, e2) = e0
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (226) gives:
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6633) (all_56_1 = e1 & op(e3, e2) = e1) | (all_56_3 = e1
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1)
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (8), (6477), (6631), (6633),
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1667.
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6634) (all_56_7 = e1 & op(e1, e2) = e1) | (all_56_13 =
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e2) = e1)
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6634) gives:
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6635) all_56_7 = e1 & op(e1, e2) = e1
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (6627), (6635) are inconsistent by sub-proof
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1579.
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6636) all_56_13 = e1 & op(e0, e2) = e1
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6636) implies:
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6637) all_56_13 = e1
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6638) op(e0, e2) = e1
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (232) gives:
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6639) (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_1 = e1
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e1)
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (5145), (6631), (6639),
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #908.
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6640) (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_9 = e1
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e1)
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6640) gives:
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6641) all_56_4 = e1 & op(e3, e1) = e1
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6641) implies:
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6642) all_56_4 = e1
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6643) op(e3, e1) = e1
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (213) gives:
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6644) (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_7 = e0
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e0)
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6644) gives:
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6645) all_56_6 = e0 & op(e1, e3) = e0
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6645) implies:
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6646) all_56_6 = e0
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (231) gives:
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6647) (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_2 = e1
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e1)
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6647) gives:
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6648) all_56_0 = e1 & op(e3, e3) = e1
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6648) implies:
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6649) op(e3, e3) = e1
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (5145), (6649), (function-axioms) are
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1966.
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6650) all_56_2 = e1 & op(e2, e3) = e1
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6650) implies:
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6651) all_56_2 = e1
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6652) op(e2, e3) = e1
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (214) gives:
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6653) (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_7 = e1
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e1)
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6653) gives:
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6654) all_56_6 = e1 & op(e1, e3) = e1
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6654) implies:
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6655) all_56_6 = e1
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6646), (6655) are inconsistent by sub-proof
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1692.
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6656) all_56_7 = e1 & op(e1, e2) = e1
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6656) implies:
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6657) all_56_7 = e1
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (6627), (6657) are inconsistent by sub-proof
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1664.
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6658) (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_11 =
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e1, e0) = e1)
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6658) gives:
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6659) all_56_8 = e1 & op(e1, e1) = e1
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6659) implies:
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6660) op(e1, e1) = e1
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (6573), (6660), (function-axioms) are
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1958.
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6661) all_56_11 = e1 & op(e1, e0) = e1
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6661) implies:
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6662) all_56_11 = e1
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6663) op(e1, e0) = e1
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (211) gives:
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6664) (all_56_9 = e2 & op(e3, e0) = e2) | (all_56_10 =
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2)
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6664) gives:
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6665) all_56_9 = e2 & op(e3, e0) = e2
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (168), (5136), (6665), (function-axioms) are
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1760.
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6666) all_56_10 = e2 & op(e2, e0) = e2
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6666) implies:
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6667) all_56_10 = e2
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6668) op(e2, e0) = e2
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (217) gives:
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6669) (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_5 = e0
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e0)
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6669) gives:
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6670) all_56_4 = e0 & op(e3, e1) = e0
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6670) implies:
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6671) all_56_4 = e0
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (6642), (6671) imply:
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6672) e1 = e0
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (6662), (6672) imply:
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6673) all_56_11 = e0
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (7), (8), (9), (45), (210), (212),
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (376), (6623), (6667), (6673), (function-axioms)
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1174.
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6674) all_56_5 = e0 & op(e2, e1) = e0
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6674) implies:
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6675) op(e2, e1) = e0
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_7, e1,
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2, e0, simplifying with (158), (6638) gives:
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6676) all_52_7 = e1
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_6, e2,
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2, e1, simplifying with (162), (6628) gives:
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6677) all_52_6 = e2
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_13,
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2, e0, e2, simplifying with (164), (6668) gives:
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6678) all_52_13 = e2
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_9, e0,
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1, e2, simplifying with (165), (6675) gives:
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6679) all_52_9 = e0
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_14_1, e1,
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3, e2, simplifying with (5128), (6652) gives:
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6680) all_14_1 = e1
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_32_1, e1,
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1, e3, simplifying with (6566), (6643) gives:
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6681) all_32_1 = e1
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_16_1, e0,
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2, e3, simplifying with (6466), (6632) gives:
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6682) all_16_1 = e0
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6475), (6678) imply:
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6683) ~ (e3 = e2)
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6476), (6680) imply:
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6684) ~ (e3 = e1)
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5160), (6680) imply:
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6685) ~ (e2 = e1)
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5129) gives:
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6686) ~ (all_14_1 = e1)
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6680), (6686) imply:
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6687) $false
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (6687) is inconsistent.
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6688) ~ (all_14_0 = e0) & op(e1, e2) = all_14_0 &
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_14_0)
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6688) implies:
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6689) op(e1, e2) = all_14_0
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (238) gives:
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6690) (all_57_3 = e3 & ~ (all_57_1 = e2) & ~ (all_57_8
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_10 = e2) & ~ (all_57_12 =
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_14 = e0) & op(e3, e3) =
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e2) = e3 & op(e2, all_57_9) =
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_8 & op(e2, all_57_11) = all_57_10 &
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_13) = all_57_12 & op(e2,
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15) = all_57_14 & op(e2, e3) = all_57_9
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = all_57_11 & op(e2, e1) =
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_13 & op(e2, e0) = all_57_15 &
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_8) & $i(all_57_9) &
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & $i(all_57_11) & $i(all_57_12) &
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13) & $i(all_57_14) & $i(all_57_15)) |
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_5 = e3 & ~ (all_57_1 = e1) & ~
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_16 = e3) & ~ (all_57_18 = e2) & ~
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_22 = e0) & op(e3,
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_1 & op(e3, e1) = e3 & op(e1,
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17) = all_57_16 & op(e1, all_57_19) =
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_18 & op(e1, all_57_21) = all_57_20 &
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_23) = all_57_22 & op(e1, e3) =
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e1, e2) = all_57_19 & op(e1, e1)
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_21 & op(e1, e0) = all_57_23 &
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_16) & $i(all_57_17) &
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_19) & $i(all_57_20) &
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_22) & $i(all_57_23)) |
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_7 = e3 & ~ (all_57_1 = e0) & ~
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) & op(e3,
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_1 & op(e3, e0) = e3 & op(e0,
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25) = all_57_24 & op(e0, all_57_27) =
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e0, all_57_29) = all_57_28 &
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_31) = all_57_30 & op(e0, e3) =
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_27 & op(e0, e1)
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_29 & op(e0, e0) = all_57_31 &
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_24) & $i(all_57_25) &
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_27) & $i(all_57_28) &
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29) & $i(all_57_30) & $i(all_57_31)) |
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e2 & ~ (all_57_0 = e3) & ~ (all_57_2
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2) & ~ (all_57_4 = e1) & ~ (all_57_6 =
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_11 = e3) & op(e3, all_57_1) =
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_0 & op(e3, all_57_3) = all_57_2 & op(e3,
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_5) = all_57_4 & op(e3, all_57_7) =
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_6 & op(e3, e3) = all_57_1 & op(e3, e2) =
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 & op(e3, e1) = all_57_5 & op(e3, e0) =
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7 & op(e2, e3) = e2 & op(e2, e2) =
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_11 & $i(all_57_0) & $i(all_57_1) &
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_2) & $i(all_57_3) & $i(all_57_4) &
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11))
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6690) gives:
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6691) (all_57_3 = e3 & ~ (all_57_1 = e2) & ~ (all_57_8
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_10 = e2) & ~ (all_57_12 =
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_14 = e0) & op(e3, e3) =
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e2) = e3 & op(e2, all_57_9) =
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_8 & op(e2, all_57_11) = all_57_10 &
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_13) = all_57_12 & op(e2,
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15) = all_57_14 & op(e2, e3) = all_57_9
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = all_57_11 & op(e2, e1) =
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_13 & op(e2, e0) = all_57_15 &
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_8) & $i(all_57_9) &
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & $i(all_57_11) & $i(all_57_12) &
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13) & $i(all_57_14) & $i(all_57_15)) |
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_5 = e3 & ~ (all_57_1 = e1) & ~
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_16 = e3) & ~ (all_57_18 = e2) & ~
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_22 = e0) & op(e3,
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_1 & op(e3, e1) = e3 & op(e1,
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17) = all_57_16 & op(e1, all_57_19) =
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_18 & op(e1, all_57_21) = all_57_20 &
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_23) = all_57_22 & op(e1, e3) =
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e1, e2) = all_57_19 & op(e1, e1)
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_21 & op(e1, e0) = all_57_23 &
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_16) & $i(all_57_17) &
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_19) & $i(all_57_20) &
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_22) & $i(all_57_23))
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (169), (170), (6471), (6571), (6691),
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1929.
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6692) (all_57_7 = e3 & ~ (all_57_1 = e0) & ~
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) & op(e3,
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_1 & op(e3, e0) = e3 & op(e0,
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25) = all_57_24 & op(e0, all_57_27) =
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e0, all_57_29) = all_57_28 &
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_31) = all_57_30 & op(e0, e3) =
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_27 & op(e0, e1)
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_29 & op(e0, e0) = all_57_31 &
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_24) & $i(all_57_25) &
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_27) & $i(all_57_28) &
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29) & $i(all_57_30) & $i(all_57_31)) |
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e2 & ~ (all_57_0 = e3) & ~ (all_57_2
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2) & ~ (all_57_4 = e1) & ~ (all_57_6 =
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_11 = e3) & op(e3, all_57_1) =
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_0 & op(e3, all_57_3) = all_57_2 & op(e3,
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_5) = all_57_4 & op(e3, all_57_7) =
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_6 & op(e3, e3) = all_57_1 & op(e3, e2) =
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 & op(e3, e1) = all_57_5 & op(e3, e0) =
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7 & op(e2, e3) = e2 & op(e2, e2) =
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_11 & $i(all_57_0) & $i(all_57_1) &
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_2) & $i(all_57_3) & $i(all_57_4) &
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11))
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6692) gives:
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6693) all_57_7 = e3 & ~ (all_57_1 = e0) & ~ (all_57_24
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_26 = e2) & ~ (all_57_28 =
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_30 = e0) & op(e3, e3) =
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e0) = e3 & op(e0, all_57_25) =
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_24 & op(e0, all_57_27) = all_57_26 & op(e0,
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_29) = all_57_28 & op(e0, all_57_31) =
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30 & op(e0, e3) = all_57_25 & op(e0, e2) =
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27 & op(e0, e1) = all_57_29 & op(e0, e0) =
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_31 & $i(all_57_1) & $i(all_57_24) &
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_25) & $i(all_57_26) & $i(all_57_27) &
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28) & $i(all_57_29) & $i(all_57_30) &
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_31)
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6693) implies:
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6694) ~ (all_57_24 = e3)
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6695) op(e0, e3) = all_57_25
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6696) op(e0, all_57_25) = all_57_24
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (9), (163), (235), (5144), (6570), (6651),
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6694), (6695), (6696), (function-axioms) are
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #953.
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6697) all_57_9 = e2 & ~ (all_57_0 = e3) & ~ (all_57_2
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2) & ~ (all_57_4 = e1) & ~ (all_57_6 = e0)
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_11 = e3) & op(e3, all_57_1) =
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_0 & op(e3, all_57_3) = all_57_2 & op(e3,
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_5) = all_57_4 & op(e3, all_57_7) =
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_6 & op(e3, e3) = all_57_1 & op(e3, e2) =
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 & op(e3, e1) = all_57_5 & op(e3, e0) =
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7 & op(e2, e3) = e2 & op(e2, e2) =
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_11 & $i(all_57_0) & $i(all_57_1) &
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_2) & $i(all_57_3) & $i(all_57_4) &
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11)
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6697) implies:
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6698) op(e2, e3) = e2
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (167), (5131), (6698), (function-axioms) are
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1944.
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6699) (all_57_13 = e2 & ~ (all_57_11 = e1) & ~
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_16 = e3) & ~ (all_57_18 = e2) & ~
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_22 = e0) & op(e2,
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_11 & op(e2, e1) = e2 & op(e1,
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17) = all_57_16 & op(e1, all_57_19) =
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_18 & op(e1, all_57_21) = all_57_20 &
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_23) = all_57_22 & op(e1, e3) =
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e1, e2) = all_57_19 & op(e1, e1)
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_21 & op(e1, e0) = all_57_23 &
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_16) & $i(all_57_17) &
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_19) & $i(all_57_20) &
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_22) & $i(all_57_23)) |
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e2 & ~ (all_57_11 = e0) & ~
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) & op(e2,
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_11 & op(e2, e0) = e2 & op(e0,
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25) = all_57_24 & op(e0, all_57_27) =
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e0, all_57_29) = all_57_28 &
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_31) = all_57_30 & op(e0, e3) =
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_27 & op(e0, e1)
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_29 & op(e0, e0) = all_57_31 &
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_24) & $i(all_57_25) &
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_27) & $i(all_57_28) &
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29) & $i(all_57_30) & $i(all_57_31)) |
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_17 = e1 & ~ (all_57_0 = e3) & ~
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e2) & ~ (all_57_4 = e1) & ~
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_6 = e0) & ~ (all_57_21 = e3) & op(e3,
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1) = all_57_0 & op(e3, all_57_3) =
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_2 & op(e3, all_57_5) = all_57_4 & op(e3,
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7) = all_57_6 & op(e3, e3) = all_57_1 &
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_3 & op(e3, e1) = all_57_5 &
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_7 & op(e1, e3) = e1 & op(e1,
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_21 & $i(all_57_0) & $i(all_57_1)
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_2) & $i(all_57_3) & $i(all_57_4) &
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21)) | (all_57_19 = e1 & ~ (all_57_8
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_10 = e2) & ~ (all_57_12 =
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_14 = e0) & ~ (all_57_21 =
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & op(e2, all_57_9) = all_57_8 & op(e2,
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_11) = all_57_10 & op(e2, all_57_13) =
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & op(e2, all_57_15) = all_57_14 &
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_9 & op(e2, e2) = all_57_11 &
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_57_13 & op(e2, e0) = all_57_15
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e1 & op(e1, e1) = all_57_21 &
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8) & $i(all_57_9) & $i(all_57_10) &
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_12) & $i(all_57_13) &
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & $i(all_57_15) & $i(all_57_21)) |
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (op(e0, e0) = all_57_31 & $i(all_57_31) &
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_23 = e1 & ~ (all_57_21 = e0) & ~
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) &
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_21 & op(e1, e0) = e1 &
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_25) = all_57_24 & op(e0,
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27) = all_57_26 & op(e0, all_57_29)
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_28 & op(e0, all_57_31) = all_57_30
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e3) = all_57_25 & op(e0, e2) =
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27 & op(e0, e1) = all_57_29 &
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_24) &
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_25) & $i(all_57_26) &
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27) & $i(all_57_28) &
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29) & $i(all_57_30)) | (all_57_25
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & ~ (all_57_0 = e3) & ~ (all_57_2 =
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_4 = e1) & ~ (all_57_6 =
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_31 = e3) & op(e3,
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1) = all_57_0 & op(e3, all_57_3) =
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_2 & op(e3, all_57_5) = all_57_4 &
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, all_57_7) = all_57_6 & op(e3, e3) =
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e2) = all_57_3 & op(e3,
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_5 & op(e3, e0) = all_57_7 &
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_0) &
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_2) & $i(all_57_3) &
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4) & $i(all_57_5) & $i(all_57_6) &
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7)) | (all_57_27 = e0 & ~
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e3) & ~ (all_57_10 = e2) & ~
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e1) & ~ (all_57_14 = e0) & ~
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e2) & op(e2, all_57_9) =
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_8 & op(e2, all_57_11) = all_57_10 &
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_13) = all_57_12 & op(e2,
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15) = all_57_14 & op(e2, e3) =
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_9 & op(e2, e2) = all_57_11 & op(e2,
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_13 & op(e2, e0) = all_57_15 &
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_8) &
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9) & $i(all_57_10) & $i(all_57_11)
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_12) & $i(all_57_13) &
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & $i(all_57_15)) | (all_57_29
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & ~ (all_57_16 = e3) & ~ (all_57_18 =
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_20 = e1) & ~ (all_57_22
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_31 = e1) & op(e1,
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17) = all_57_16 & op(e1, all_57_19)
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_18 & op(e1, all_57_21) = all_57_20
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, all_57_23) = all_57_22 & op(e1, e3)
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_17 & op(e1, e2) = all_57_19 &
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_21 & op(e1, e0) =
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23 & op(e0, e1) = e0 & $i(all_57_16)
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_17) & $i(all_57_18) &
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_20) &
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_22) &
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23))))
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6699) gives:
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6700) (all_57_13 = e2 & ~ (all_57_11 = e1) & ~
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_16 = e3) & ~ (all_57_18 = e2) & ~
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_22 = e0) & op(e2,
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_11 & op(e2, e1) = e2 & op(e1,
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17) = all_57_16 & op(e1, all_57_19) =
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_18 & op(e1, all_57_21) = all_57_20 &
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_23) = all_57_22 & op(e1, e3) =
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e1, e2) = all_57_19 & op(e1, e1)
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_21 & op(e1, e0) = all_57_23 &
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_16) & $i(all_57_17) &
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_19) & $i(all_57_20) &
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_22) & $i(all_57_23)) |
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e2 & ~ (all_57_11 = e0) & ~
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) & op(e2,
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_11 & op(e2, e0) = e2 & op(e0,
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25) = all_57_24 & op(e0, all_57_27) =
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e0, all_57_29) = all_57_28 &
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_31) = all_57_30 & op(e0, e3) =
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_27 & op(e0, e1)
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_29 & op(e0, e0) = all_57_31 &
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_24) & $i(all_57_25) &
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_27) & $i(all_57_28) &
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29) & $i(all_57_30) & $i(all_57_31))
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6700) gives:
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6701) all_57_13 = e2 & ~ (all_57_11 = e1) & ~
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_16 = e3) & ~ (all_57_18 = e2) & ~
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_22 = e0) & op(e2,
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_11 & op(e2, e1) = e2 & op(e1,
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17) = all_57_16 & op(e1, all_57_19) =
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_18 & op(e1, all_57_21) = all_57_20 & op(e1,
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23) = all_57_22 & op(e1, e3) = all_57_17
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = all_57_19 & op(e1, e1) = all_57_21
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e0) = all_57_23 & $i(all_57_11) &
% 197.22/31.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_16) & $i(all_57_17) & $i(all_57_18) &
% 197.22/31.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_20) & $i(all_57_21) &
% 197.22/31.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_23)
% 197.22/31.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6701) implies:
% 197.22/31.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6702) op(e2, e1) = e2
% 197.22/31.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6675), (6702), (function-axioms) are
% 197.22/31.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1852.
% 197.22/31.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.22/31.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6703) all_57_15 = e2 & ~ (all_57_11 = e0) & ~
% 197.22/31.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 197.22/31.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) & op(e2,
% 197.22/31.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_11 & op(e2, e0) = e2 & op(e0,
% 197.22/31.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25) = all_57_24 & op(e0, all_57_27) =
% 197.22/31.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e0, all_57_29) = all_57_28 & op(e0,
% 197.22/31.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_31) = all_57_30 & op(e0, e3) = all_57_25
% 197.22/31.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e2) = all_57_27 & op(e0, e1) = all_57_29
% 197.22/31.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = all_57_31 & $i(all_57_11) &
% 197.22/31.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_24) & $i(all_57_25) & $i(all_57_26) &
% 197.22/31.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27) & $i(all_57_28) & $i(all_57_29) &
% 197.22/31.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30) & $i(all_57_31)
% 197.22/31.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6703) implies:
% 197.22/31.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6704) ~ (all_57_24 = e3)
% 197.22/31.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6705) op(e0, e3) = all_57_25
% 197.22/31.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6706) op(e0, all_57_25) = all_57_24
% 197.22/31.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (9), (163), (235), (5144), (6570), (6651),
% 197.22/31.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6704), (6705), (6706), (function-axioms) are
% 197.22/31.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #953.
% 197.22/31.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.22/31.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.22/31.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6707) (all_57_17 = e1 & ~ (all_57_0 = e3) & ~
% 197.22/31.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e2) & ~ (all_57_4 = e1) & ~
% 197.22/31.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_6 = e0) & ~ (all_57_21 = e3) & op(e3,
% 197.22/31.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1) = all_57_0 & op(e3, all_57_3) =
% 197.22/31.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_2 & op(e3, all_57_5) = all_57_4 & op(e3,
% 197.22/31.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7) = all_57_6 & op(e3, e3) = all_57_1 &
% 197.22/31.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_3 & op(e3, e1) = all_57_5 &
% 197.22/31.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_7 & op(e1, e3) = e1 & op(e1,
% 197.22/31.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_21 & $i(all_57_0) & $i(all_57_1)
% 197.22/31.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_2) & $i(all_57_3) & $i(all_57_4) &
% 197.22/31.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 197.22/31.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21)) | (all_57_19 = e1 & ~ (all_57_8
% 197.22/31.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_10 = e2) & ~ (all_57_12 =
% 197.22/31.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_14 = e0) & ~ (all_57_21 =
% 197.22/31.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & op(e2, all_57_9) = all_57_8 & op(e2,
% 197.22/31.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_11) = all_57_10 & op(e2, all_57_13) =
% 197.22/31.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & op(e2, all_57_15) = all_57_14 &
% 197.22/31.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_9 & op(e2, e2) = all_57_11 &
% 197.22/31.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_57_13 & op(e2, e0) = all_57_15
% 197.22/31.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e1 & op(e1, e1) = all_57_21 &
% 197.22/31.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8) & $i(all_57_9) & $i(all_57_10) &
% 197.22/31.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_12) & $i(all_57_13) &
% 197.22/31.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & $i(all_57_15) & $i(all_57_21)) |
% 197.22/31.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (op(e0, e0) = all_57_31 & $i(all_57_31) &
% 197.22/31.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_23 = e1 & ~ (all_57_21 = e0) & ~
% 197.22/31.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 197.22/31.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) &
% 197.22/31.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_21 & op(e1, e0) = e1 &
% 197.22/31.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_25) = all_57_24 & op(e0,
% 197.22/31.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27) = all_57_26 & op(e0, all_57_29)
% 197.22/31.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_28 & op(e0, all_57_31) = all_57_30
% 197.22/31.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e3) = all_57_25 & op(e0, e2) =
% 197.22/31.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27 & op(e0, e1) = all_57_29 &
% 197.22/31.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_24) &
% 197.22/31.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_25) & $i(all_57_26) &
% 197.22/31.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27) & $i(all_57_28) &
% 197.22/31.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29) & $i(all_57_30)) | (all_57_25
% 197.22/31.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & ~ (all_57_0 = e3) & ~ (all_57_2 =
% 197.22/31.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_4 = e1) & ~ (all_57_6 =
% 197.22/31.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_31 = e3) & op(e3,
% 197.22/31.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1) = all_57_0 & op(e3, all_57_3) =
% 197.22/31.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_2 & op(e3, all_57_5) = all_57_4 &
% 197.22/31.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, all_57_7) = all_57_6 & op(e3, e3) =
% 197.22/31.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e2) = all_57_3 & op(e3,
% 197.22/31.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_5 & op(e3, e0) = all_57_7 &
% 197.22/31.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_0) &
% 197.22/31.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_2) & $i(all_57_3) &
% 197.22/31.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4) & $i(all_57_5) & $i(all_57_6) &
% 197.22/31.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7)) | (all_57_27 = e0 & ~
% 197.22/31.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e3) & ~ (all_57_10 = e2) & ~
% 197.22/31.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e1) & ~ (all_57_14 = e0) & ~
% 197.22/31.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e2) & op(e2, all_57_9) =
% 197.22/31.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_8 & op(e2, all_57_11) = all_57_10 &
% 197.22/31.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_13) = all_57_12 & op(e2,
% 197.22/31.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15) = all_57_14 & op(e2, e3) =
% 197.22/31.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_9 & op(e2, e2) = all_57_11 & op(e2,
% 197.22/31.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_13 & op(e2, e0) = all_57_15 &
% 197.22/31.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_8) &
% 197.22/31.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9) & $i(all_57_10) & $i(all_57_11)
% 197.22/31.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_12) & $i(all_57_13) &
% 197.22/31.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & $i(all_57_15)) | (all_57_29
% 197.22/31.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & ~ (all_57_16 = e3) & ~ (all_57_18 =
% 197.22/31.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_20 = e1) & ~ (all_57_22
% 197.22/31.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_31 = e1) & op(e1,
% 197.22/31.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17) = all_57_16 & op(e1, all_57_19)
% 197.22/31.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_18 & op(e1, all_57_21) = all_57_20
% 197.22/31.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, all_57_23) = all_57_22 & op(e1, e3)
% 197.22/31.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_17 & op(e1, e2) = all_57_19 &
% 197.22/31.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_21 & op(e1, e0) =
% 197.22/31.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23 & op(e0, e1) = e0 & $i(all_57_16)
% 197.22/31.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_17) & $i(all_57_18) &
% 197.22/31.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_20) &
% 197.22/31.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_22) &
% 197.22/31.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23))))
% 197.22/31.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6707) gives:
% 197.22/31.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.22/31.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6708) all_57_17 = e1 & ~ (all_57_0 = e3) & ~ (all_57_2
% 197.22/31.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2) & ~ (all_57_4 = e1) & ~ (all_57_6 = e0)
% 197.22/31.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_21 = e3) & op(e3, all_57_1) =
% 197.22/31.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_0 & op(e3, all_57_3) = all_57_2 & op(e3,
% 197.22/31.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_5) = all_57_4 & op(e3, all_57_7) =
% 197.22/31.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_6 & op(e3, e3) = all_57_1 & op(e3, e2) =
% 197.22/31.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 & op(e3, e1) = all_57_5 & op(e3, e0) =
% 197.22/31.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7 & op(e1, e3) = e1 & op(e1, e1) =
% 197.22/31.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_21 & $i(all_57_0) & $i(all_57_1) &
% 197.22/31.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_2) & $i(all_57_3) & $i(all_57_4) &
% 197.22/31.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 197.22/31.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21)
% 197.22/31.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6573), (6708), (function-axioms) are inconsistent
% 197.22/31.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1926.
% 197.22/31.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.22/31.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6709) (all_57_19 = e1 & ~ (all_57_8 = e3) & ~
% 197.22/31.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e2) & ~ (all_57_12 = e1) & ~
% 197.22/31.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e0) & ~ (all_57_21 = e2) & op(e2,
% 197.22/31.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_9) = all_57_8 & op(e2, all_57_11) =
% 197.22/31.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e2, all_57_13) = all_57_12 &
% 197.22/31.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_15) = all_57_14 & op(e2, e3) =
% 197.22/31.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_9 & op(e2, e2) = all_57_11 & op(e2, e1) =
% 197.22/31.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_13 & op(e2, e0) = all_57_15 & op(e1, e2)
% 197.22/31.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & op(e1, e1) = all_57_21 & $i(all_57_8) &
% 197.22/31.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9) & $i(all_57_10) & $i(all_57_11) &
% 197.22/31.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & $i(all_57_13) & $i(all_57_14) &
% 197.22/31.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & $i(all_57_21)) | (op(e0, e0) =
% 197.22/31.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_31 & $i(all_57_31) & ((all_57_23 = e1 &
% 197.22/31.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_21 = e0) & ~ (all_57_24 = e3) &
% 197.22/31.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_26 = e2) & ~ (all_57_28 = e1) &
% 197.22/31.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_30 = e0) & op(e1, e1) = all_57_21
% 197.22/31.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e0) = e1 & op(e0, all_57_25) =
% 197.22/31.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_24 & op(e0, all_57_27) = all_57_26 &
% 197.22/31.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_29) = all_57_28 & op(e0,
% 197.22/31.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_31) = all_57_30 & op(e0, e3) =
% 197.22/31.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_27 & op(e0,
% 197.22/31.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_29 & $i(all_57_21) &
% 197.22/31.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_24) & $i(all_57_25) &
% 197.22/31.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_27) &
% 197.22/31.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28) & $i(all_57_29) &
% 197.22/31.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_25 = e0 & ~
% 197.22/31.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_0 = e3) & ~ (all_57_2 = e2) & ~
% 197.22/31.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1) & ~ (all_57_6 = e0) & ~
% 197.22/31.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e3) & op(e3, all_57_1) =
% 197.22/31.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_0 & op(e3, all_57_3) = all_57_2 &
% 197.22/31.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, all_57_5) = all_57_4 & op(e3,
% 197.22/31.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7) = all_57_6 & op(e3, e3) =
% 197.22/31.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e2) = all_57_3 & op(e3,
% 197.22/31.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_5 & op(e3, e0) = all_57_7 &
% 197.22/31.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_0) &
% 197.22/31.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_2) & $i(all_57_3) &
% 197.22/31.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4) & $i(all_57_5) & $i(all_57_6) &
% 197.22/31.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7)) | (all_57_27 = e0 & ~
% 197.22/31.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e3) & ~ (all_57_10 = e2) & ~
% 197.22/31.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e1) & ~ (all_57_14 = e0) & ~
% 197.22/31.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e2) & op(e2, all_57_9) =
% 197.22/31.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_8 & op(e2, all_57_11) = all_57_10 &
% 197.22/31.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_13) = all_57_12 & op(e2,
% 197.22/31.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15) = all_57_14 & op(e2, e3) =
% 197.22/31.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_9 & op(e2, e2) = all_57_11 & op(e2,
% 197.22/31.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_13 & op(e2, e0) = all_57_15 &
% 197.22/31.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_8) &
% 197.22/31.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9) & $i(all_57_10) & $i(all_57_11)
% 197.22/31.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_12) & $i(all_57_13) &
% 197.22/31.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & $i(all_57_15)) | (all_57_29
% 197.22/31.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & ~ (all_57_16 = e3) & ~ (all_57_18 =
% 197.22/31.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_20 = e1) & ~ (all_57_22
% 197.22/31.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_31 = e1) & op(e1,
% 197.22/31.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17) = all_57_16 & op(e1, all_57_19)
% 197.22/31.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_18 & op(e1, all_57_21) = all_57_20
% 197.22/31.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, all_57_23) = all_57_22 & op(e1, e3)
% 197.22/31.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_17 & op(e1, e2) = all_57_19 &
% 197.22/31.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_21 & op(e1, e0) =
% 197.22/31.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23 & op(e0, e1) = e0 & $i(all_57_16)
% 197.22/31.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_17) & $i(all_57_18) &
% 197.22/31.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_20) &
% 197.22/31.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_22) &
% 197.22/31.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23))))
% 197.22/31.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6709) gives:
% 197.22/31.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.22/31.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6710) all_57_19 = e1 & ~ (all_57_8 = e3) & ~
% 197.22/31.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e2) & ~ (all_57_12 = e1) & ~
% 197.22/31.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e0) & ~ (all_57_21 = e2) & op(e2,
% 197.22/31.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_9) = all_57_8 & op(e2, all_57_11) =
% 197.22/31.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e2, all_57_13) = all_57_12 & op(e2,
% 197.22/31.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15) = all_57_14 & op(e2, e3) = all_57_9 &
% 197.22/31.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_11 & op(e2, e1) = all_57_13 &
% 197.22/31.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_15 & op(e1, e2) = e1 & op(e1,
% 197.22/31.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_21 & $i(all_57_8) & $i(all_57_9) &
% 197.22/31.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & $i(all_57_11) & $i(all_57_12) &
% 197.22/31.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13) & $i(all_57_14) & $i(all_57_15) &
% 197.22/31.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21)
% 197.22/31.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6710) implies:
% 197.22/31.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6711) op(e1, e2) = e1
% 197.22/31.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (6628), (6689), (6711), (function-axioms) are
% 197.22/31.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #932.
% 197.22/31.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.22/31.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6712) op(e0, e0) = all_57_31 & $i(all_57_31) &
% 197.22/31.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_23 = e1 & ~ (all_57_21 = e0) & ~
% 197.22/31.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 197.22/31.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) &
% 197.22/31.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_21 & op(e1, e0) = e1 &
% 197.22/31.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_25) = all_57_24 & op(e0,
% 197.22/31.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27) = all_57_26 & op(e0, all_57_29) =
% 197.22/31.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_28 & op(e0, all_57_31) = all_57_30 &
% 197.22/31.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_25 & op(e0, e2) =
% 197.22/31.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27 & op(e0, e1) = all_57_29 &
% 197.22/31.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_24) & $i(all_57_25)
% 197.22/31.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_26) & $i(all_57_27) &
% 197.22/31.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28) & $i(all_57_29) & $i(all_57_30))
% 197.22/31.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_25 = e0 & ~ (all_57_0 = e3) & ~
% 197.22/31.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e2) & ~ (all_57_4 = e1) & ~
% 197.22/31.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_6 = e0) & ~ (all_57_31 = e3) & op(e3,
% 197.22/31.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1) = all_57_0 & op(e3, all_57_3) =
% 197.22/31.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_2 & op(e3, all_57_5) = all_57_4 &
% 197.22/31.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, all_57_7) = all_57_6 & op(e3, e3) =
% 197.22/31.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e2) = all_57_3 & op(e3, e1)
% 197.22/31.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_5 & op(e3, e0) = all_57_7 & op(e0,
% 197.22/31.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e0 & $i(all_57_0) & $i(all_57_1) &
% 197.22/31.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_2) & $i(all_57_3) & $i(all_57_4) &
% 197.22/31.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_6) & $i(all_57_7)) |
% 197.22/31.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_27 = e0 & ~ (all_57_8 = e3) & ~
% 197.22/31.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e2) & ~ (all_57_12 = e1) & ~
% 197.22/31.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e0) & ~ (all_57_31 = e2) &
% 197.22/31.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_9) = all_57_8 & op(e2,
% 197.22/31.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_11) = all_57_10 & op(e2, all_57_13) =
% 197.22/31.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & op(e2, all_57_15) = all_57_14 &
% 197.22/31.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_9 & op(e2, e2) = all_57_11
% 197.22/31.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = all_57_13 & op(e2, e0) =
% 197.22/31.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15 & op(e0, e2) = e0 & $i(all_57_8) &
% 197.22/31.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9) & $i(all_57_10) & $i(all_57_11) &
% 197.22/31.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & $i(all_57_13) & $i(all_57_14)
% 197.22/31.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_15)) | (all_57_29 = e0 & ~
% 197.22/31.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_16 = e3) & ~ (all_57_18 = e2) & ~
% 197.22/31.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_22 = e0) & ~
% 197.22/31.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e1) & op(e1, all_57_17) =
% 197.22/31.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_16 & op(e1, all_57_19) = all_57_18 &
% 197.22/31.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_21) = all_57_20 & op(e1,
% 197.22/31.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23) = all_57_22 & op(e1, e3) =
% 197.22/31.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e1, e2) = all_57_19 & op(e1,
% 197.22/31.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_21 & op(e1, e0) = all_57_23 &
% 197.22/31.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_16) &
% 197.22/31.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_17) & $i(all_57_18) & $i(all_57_19)
% 197.22/31.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_20) & $i(all_57_21) &
% 197.22/31.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_23)))
% 197.22/31.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6712) implies:
% 197.22/31.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6713) (all_57_23 = e1 & ~ (all_57_21 = e0) & ~
% 197.22/31.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 197.22/31.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) & op(e1,
% 197.22/31.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_21 & op(e1, e0) = e1 & op(e0,
% 197.22/31.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25) = all_57_24 & op(e0, all_57_27) =
% 197.22/31.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e0, all_57_29) = all_57_28 &
% 197.22/31.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_31) = all_57_30 & op(e0, e3) =
% 197.22/31.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_27 & op(e0, e1)
% 197.22/31.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_29 & $i(all_57_21) & $i(all_57_24) &
% 197.22/31.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_25) & $i(all_57_26) & $i(all_57_27) &
% 197.22/31.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28) & $i(all_57_29) & $i(all_57_30)) |
% 197.22/31.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_25 = e0 & ~ (all_57_0 = e3) & ~
% 197.22/31.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e2) & ~ (all_57_4 = e1) & ~
% 197.22/31.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_6 = e0) & ~ (all_57_31 = e3) & op(e3,
% 197.22/31.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1) = all_57_0 & op(e3, all_57_3) =
% 197.22/31.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_2 & op(e3, all_57_5) = all_57_4 & op(e3,
% 197.22/31.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7) = all_57_6 & op(e3, e3) = all_57_1 &
% 197.22/31.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_3 & op(e3, e1) = all_57_5 &
% 197.22/31.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_7 & op(e0, e3) = e0 &
% 197.22/31.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_0) & $i(all_57_1) & $i(all_57_2) &
% 197.22/31.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_3) & $i(all_57_4) & $i(all_57_5) &
% 197.22/31.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_6) & $i(all_57_7)) | (all_57_27 = e0 &
% 197.22/31.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_8 = e3) & ~ (all_57_10 = e2) & ~
% 197.22/31.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e1) & ~ (all_57_14 = e0) & ~
% 197.22/31.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e2) & op(e2, all_57_9) = all_57_8 &
% 197.22/31.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_11) = all_57_10 & op(e2,
% 197.22/31.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_13) = all_57_12 & op(e2, all_57_15) =
% 197.22/31.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_14 & op(e2, e3) = all_57_9 & op(e2, e2) =
% 197.22/31.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_11 & op(e2, e1) = all_57_13 & op(e2, e0)
% 197.22/31.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_15 & op(e0, e2) = e0 & $i(all_57_8) &
% 197.22/31.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9) & $i(all_57_10) & $i(all_57_11) &
% 197.22/31.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & $i(all_57_13) & $i(all_57_14) &
% 197.22/31.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15)) | (all_57_29 = e0 & ~ (all_57_16
% 197.22/31.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_18 = e2) & ~ (all_57_20 =
% 197.22/31.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_22 = e0) & ~ (all_57_31 =
% 197.22/31.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & op(e1, all_57_17) = all_57_16 & op(e1,
% 197.22/31.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_19) = all_57_18 & op(e1, all_57_21) =
% 197.22/31.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20 & op(e1, all_57_23) = all_57_22 &
% 197.22/31.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_17 & op(e1, e2) = all_57_19
% 197.22/31.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = all_57_21 & op(e1, e0) =
% 197.22/31.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23 & op(e0, e1) = e0 & $i(all_57_16) &
% 197.22/31.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_17) & $i(all_57_18) & $i(all_57_19) &
% 197.22/31.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_20) & $i(all_57_21) & $i(all_57_22) &
% 197.22/31.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23))
% 197.22/31.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6713) gives:
% 197.22/31.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.22/31.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6714) (all_57_23 = e1 & ~ (all_57_21 = e0) & ~
% 197.22/31.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 197.22/31.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) & op(e1,
% 197.22/31.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_21 & op(e1, e0) = e1 & op(e0,
% 197.22/31.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25) = all_57_24 & op(e0, all_57_27) =
% 197.22/31.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e0, all_57_29) = all_57_28 &
% 197.22/31.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_31) = all_57_30 & op(e0, e3) =
% 197.22/31.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_27 & op(e0, e1)
% 197.22/31.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_29 & $i(all_57_21) & $i(all_57_24) &
% 197.22/31.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_25) & $i(all_57_26) & $i(all_57_27) &
% 197.22/31.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28) & $i(all_57_29) & $i(all_57_30)) |
% 197.22/31.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_25 = e0 & ~ (all_57_0 = e3) & ~
% 197.22/31.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e2) & ~ (all_57_4 = e1) & ~
% 197.22/31.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_6 = e0) & ~ (all_57_31 = e3) & op(e3,
% 197.22/31.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1) = all_57_0 & op(e3, all_57_3) =
% 197.22/31.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_2 & op(e3, all_57_5) = all_57_4 & op(e3,
% 197.22/31.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7) = all_57_6 & op(e3, e3) = all_57_1 &
% 197.22/31.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_3 & op(e3, e1) = all_57_5 &
% 197.22/31.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_7 & op(e0, e3) = e0 &
% 197.22/31.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_0) & $i(all_57_1) & $i(all_57_2) &
% 197.22/31.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_3) & $i(all_57_4) & $i(all_57_5) &
% 197.22/31.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_6) & $i(all_57_7))
% 197.22/31.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6714) gives:
% 197.22/31.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.22/31.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6715) all_57_23 = e1 & ~ (all_57_21 = e0) & ~
% 197.22/31.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 197.22/31.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) & op(e1,
% 197.22/31.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_21 & op(e1, e0) = e1 & op(e0,
% 197.22/31.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25) = all_57_24 & op(e0, all_57_27) =
% 197.22/31.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e0, all_57_29) = all_57_28 & op(e0,
% 197.22/31.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_31) = all_57_30 & op(e0, e3) = all_57_25
% 197.22/31.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e2) = all_57_27 & op(e0, e1) = all_57_29
% 197.22/31.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_21) & $i(all_57_24) & $i(all_57_25) &
% 197.22/31.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_27) & $i(all_57_28) &
% 197.22/31.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29) & $i(all_57_30)
% 197.22/31.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6715) implies:
% 197.22/31.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6716) ~ (all_57_24 = e3)
% 197.22/31.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6717) op(e0, e3) = all_57_25
% 197.22/31.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6718) op(e0, all_57_25) = all_57_24
% 197.22/31.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (9), (163), (235), (5144), (6570), (6651),
% 197.22/31.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6716), (6717), (6718), (function-axioms) are
% 197.22/31.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #953.
% 197.22/31.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.22/31.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6719) all_57_25 = e0 & ~ (all_57_0 = e3) & ~ (all_57_2
% 197.22/31.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2) & ~ (all_57_4 = e1) & ~ (all_57_6 = e0)
% 197.22/31.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_31 = e3) & op(e3, all_57_1) =
% 197.22/31.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_0 & op(e3, all_57_3) = all_57_2 & op(e3,
% 197.22/31.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_5) = all_57_4 & op(e3, all_57_7) =
% 197.22/31.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_6 & op(e3, e3) = all_57_1 & op(e3, e2) =
% 197.22/31.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 & op(e3, e1) = all_57_5 & op(e3, e0) =
% 197.22/31.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7 & op(e0, e3) = e0 & $i(all_57_0) &
% 197.22/31.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_2) & $i(all_57_3) &
% 197.22/31.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4) & $i(all_57_5) & $i(all_57_6) &
% 197.22/31.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7)
% 197.22/31.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6719) implies:
% 197.22/31.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6720) ~ (all_57_4 = e1)
% 197.22/31.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6721) op(e3, e1) = all_57_5
% 197.22/31.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6722) op(e3, all_57_5) = all_57_4
% 197.22/31.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6643), (6720), (6721), (6722), (function-axioms)
% 197.22/31.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1390.
% 197.22/31.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.22/31.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.22/31.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6723) (all_57_27 = e0 & ~ (all_57_8 = e3) & ~
% 197.22/31.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e2) & ~ (all_57_12 = e1) & ~
% 197.22/31.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e0) & ~ (all_57_31 = e2) & op(e2,
% 197.22/31.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_9) = all_57_8 & op(e2, all_57_11) =
% 197.22/31.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e2, all_57_13) = all_57_12 &
% 197.22/31.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_15) = all_57_14 & op(e2, e3) =
% 197.22/31.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_9 & op(e2, e2) = all_57_11 & op(e2, e1) =
% 197.22/31.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_13 & op(e2, e0) = all_57_15 & op(e0, e2)
% 197.22/31.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & $i(all_57_8) & $i(all_57_9) &
% 197.22/31.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & $i(all_57_11) & $i(all_57_12) &
% 197.22/31.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13) & $i(all_57_14) & $i(all_57_15)) |
% 197.22/31.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_29 = e0 & ~ (all_57_16 = e3) & ~
% 197.22/31.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_18 = e2) & ~ (all_57_20 = e1) & ~
% 197.22/31.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_22 = e0) & ~ (all_57_31 = e1) & op(e1,
% 197.22/31.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17) = all_57_16 & op(e1, all_57_19) =
% 197.22/31.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_18 & op(e1, all_57_21) = all_57_20 &
% 197.22/31.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_23) = all_57_22 & op(e1, e3) =
% 197.22/31.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e1, e2) = all_57_19 & op(e1, e1)
% 197.22/31.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_21 & op(e1, e0) = all_57_23 & op(e0,
% 197.22/31.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0 & $i(all_57_16) & $i(all_57_17) &
% 197.22/31.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_19) & $i(all_57_20) &
% 197.22/31.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_22) & $i(all_57_23))
% 197.22/31.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6723) gives:
% 197.22/31.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.22/31.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6724) all_57_27 = e0 & ~ (all_57_8 = e3) & ~
% 197.22/31.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e2) & ~ (all_57_12 = e1) & ~
% 197.22/31.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e0) & ~ (all_57_31 = e2) & op(e2,
% 197.22/31.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_9) = all_57_8 & op(e2, all_57_11) =
% 197.22/31.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e2, all_57_13) = all_57_12 & op(e2,
% 197.22/31.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15) = all_57_14 & op(e2, e3) = all_57_9 &
% 197.22/31.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_11 & op(e2, e1) = all_57_13 &
% 197.22/31.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_15 & op(e0, e2) = e0 &
% 197.22/31.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8) & $i(all_57_9) & $i(all_57_10) &
% 197.22/31.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_12) & $i(all_57_13) &
% 197.22/31.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & $i(all_57_15)
% 197.22/31.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6724) implies:
% 197.22/31.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6725) op(e0, e2) = e0
% 197.22/31.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6638), (6725), (function-axioms) are
% 197.22/31.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1623.
% 197.22/31.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.22/31.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.22/31.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6726) all_57_29 = e0 & ~ (all_57_16 = e3) & ~
% 197.22/31.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_18 = e2) & ~ (all_57_20 = e1) & ~
% 197.22/31.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_22 = e0) & ~ (all_57_31 = e1) & op(e1,
% 197.49/31.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17) = all_57_16 & op(e1, all_57_19) =
% 197.49/31.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_18 & op(e1, all_57_21) = all_57_20 & op(e1,
% 197.49/31.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23) = all_57_22 & op(e1, e3) = all_57_17
% 197.49/31.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = all_57_19 & op(e1, e1) = all_57_21
% 197.49/31.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e0) = all_57_23 & op(e0, e1) = e0 &
% 197.49/31.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_16) & $i(all_57_17) & $i(all_57_18) &
% 197.49/31.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_20) & $i(all_57_21) &
% 197.49/31.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_23)
% 197.49/31.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6726) implies:
% 197.49/31.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6727) op(e0, e1) = e0
% 197.49/31.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (157), (6618), (6727), (function-axioms) are
% 197.49/31.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1894.
% 197.49/31.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.49/31.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.49/31.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.49/31.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.49/31.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.49/31.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.49/31.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.49/31.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.49/31.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.49/31.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6728) (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_14 =
% 197.49/31.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0)
% 197.49/31.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (157), (6573), (6618), (6728),
% 197.49/31.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 197.49/31.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1274.
% 197.49/31.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.49/31.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.49/31.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.49/31.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6729) (all_56_11 = e2 & op(e1, e0) = e2) | (all_56_15 =
% 197.49/31.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = e2)
% 197.49/31.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (6623), (6663), (6729),
% 197.49/31.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 197.49/31.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #958.
% 197.49/31.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.49/31.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.49/31.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.49/31.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.49/31.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.49/31.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6730) (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_12 =
% 197.49/31.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e3) = e1)
% 197.49/31.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6730) gives:
% 197.49/31.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.49/31.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6731) all_56_6 = e1 & op(e1, e3) = e1
% 197.49/31.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6731) implies:
% 197.49/31.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6732) all_56_6 = e1
% 197.49/31.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6646), (6732) are inconsistent by sub-proof
% 197.49/31.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1692.
% 197.49/31.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.49/31.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6733) all_56_12 = e1 & op(e0, e3) = e1
% 197.49/31.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6733) implies:
% 197.49/31.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6734) all_56_12 = e1
% 197.49/31.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (45), (158), (206),
% 197.49/31.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (208), (209), (225), (226), (227), (376), (6477),
% 197.49/31.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6617), (6637), (6734), (function-axioms) are
% 197.49/31.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #907.
% 197.49/31.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.49/31.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.49/31.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.49/31.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6735) all_56_7 = e0 & op(e1, e2) = e0
% 197.49/31.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6627), (6735) are inconsistent by sub-proof
% 197.49/31.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1076.
% 197.49/31.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.49/31.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.49/31.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6736) (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_11 =
% 197.49/31.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e1, e0) = e0)
% 197.49/31.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (45), (210), (211),
% 197.49/31.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (212), (376), (6573), (6589), (6623), (6736),
% 197.49/31.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 197.49/31.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1096.
% 197.49/31.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.49/31.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.49/31.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6737) all_56_9 = e1 & op(e3, e0) = e1
% 197.49/31.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6737) implies:
% 197.49/31.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6738) all_56_9 = e1
% 197.49/31.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (6588), (6738) imply:
% 197.49/31.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6739) e3 = e1
% 197.49/31.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6739) implies:
% 197.49/31.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6740) e3 = e1
% 197.49/31.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (6584), (6740) imply:
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6741) all_56_12 = e1
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (45), (158), (206),
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (208), (209), (225), (226), (227), (376), (6477),
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6617), (6637), (6741), (function-axioms) are
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #907.
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6742) all_56_3 = e0 & op(e2, e2) = e0
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6742) implies:
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6743) op(e2, e2) = e0
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (6477), (6743), (function-axioms) are
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1661.
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | (6744) (all_56_7 = e0 & op(e1, e2) = e0) | (all_56_13 =
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0)
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6744) gives:
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6745) all_56_7 = e0 & op(e1, e2) = e0
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6745) implies:
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6746) all_56_7 = e0
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6627), (6746) are inconsistent by sub-proof
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1687.
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6747) all_56_13 = e0 & op(e0, e2) = e0
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6747) implies:
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6748) op(e0, e2) = e0
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (158), (6617), (6748), (function-axioms) are
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1895.
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | (6749) (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_11 =
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e1, e0) = e2)
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6749) gives:
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | | (6750) all_56_8 = e2 & op(e1, e1) = e2
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6750) implies:
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | | (6751) op(e1, e1) = e2
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (6573), (6751), (function-axioms) are
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1919.
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | | (6752) all_56_11 = e2 & op(e1, e0) = e2
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6752) implies:
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | | (6753) op(e1, e0) = e2
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (210) gives:
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | (6754) (all_56_9 = e1 & op(e3, e0) = e1) | (all_56_10 =
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e2, e0) = e1)
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6754) gives:
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6755) all_56_9 = e1 & op(e3, e0) = e1
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (6588), (6755) are inconsistent by sub-proof
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1815.
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6756) all_56_10 = e1 & op(e2, e0) = e1
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6756) implies:
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6757) all_56_10 = e1
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (223) gives:
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6758) (all_56_2 = e2 & op(e2, e3) = e2) | (all_56_3 = e2
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e2)
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (167), (5131), (6477), (6758),
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #909.
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6759) (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_10 =
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2)
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6759) gives:
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6760) all_56_5 = e2 & op(e2, e1) = e2
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6760) implies:
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6761) all_56_5 = e2
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6762) op(e2, e1) = e2
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (217) gives:
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6763) (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_5 = e0
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e0)
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6763) gives:
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6764) all_56_4 = e0 & op(e3, e1) = e0
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6764) implies:
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6765) all_56_4 = e0
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6766) op(e3, e1) = e0
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (232) gives:
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6767) (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_1 = e1
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e1)
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6767) gives:
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6768) all_56_0 = e1 & op(e3, e3) = e1
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6768) implies:
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6769) op(e3, e3) = e1
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (5145), (6769), (function-axioms) are
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1966.
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6770) all_56_1 = e1 & op(e3, e2) = e1
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6770) implies:
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6771) all_56_1 = e1
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6772) op(e3, e2) = e1
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (218) gives:
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6773) (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_5 = e1
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e1)
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6773) gives:
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6774) all_56_4 = e1 & op(e3, e1) = e1
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6774) implies:
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6775) all_56_4 = e1
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6765), (6775) are inconsistent by sub-proof
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1678.
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6776) all_56_5 = e1 & op(e2, e1) = e1
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (6761), (6776) are inconsistent by sub-proof
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1495.
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6777) (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_14 =
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e1) = e1)
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6777) gives:
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6778) all_56_8 = e1 & op(e1, e1) = e1
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6778) implies:
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6779) op(e1, e1) = e1
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (9), (157), (169), (220), (6571), (6598),
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6761), (6779), (function-axioms) are inconsistent
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1055.
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6780) all_56_14 = e1 & op(e0, e1) = e1
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6780) implies:
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6781) all_56_14 = e1
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6782) op(e0, e1) = e1
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (208) gives:
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6783) (all_56_12 = e2 & op(e0, e3) = e2) | (all_56_13 =
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e2)
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6783) gives:
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6784) all_56_12 = e2 & op(e0, e3) = e2
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (159), (5133), (6784), (function-axioms) are
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1847.
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6785) all_56_13 = e2 & op(e0, e2) = e2
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6785) implies:
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6786) all_56_13 = e2
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6787) op(e0, e2) = e2
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (221) gives:
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6788) (all_56_2 = e0 & op(e2, e3) = e0) | (all_56_3 = e0
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e0)
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6788) gives:
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6789) all_56_2 = e0 & op(e2, e3) = e0
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6789) implies:
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6790) op(e2, e3) = e0
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (225) gives:
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6791) (all_56_1 = e0 & op(e3, e2) = e0) | (all_56_3 = e0
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e0)
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (7), (6477), (6771), (6791),
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #906.
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6792) (all_56_7 = e0 & op(e1, e2) = e0) | (all_56_13 =
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0)
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6792) gives:
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6793) all_56_7 = e0 & op(e1, e2) = e0
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6793) implies:
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6794) all_56_7 = e0
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6795) op(e1, e2) = e0
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_11,
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1, e1, e0, simplifying with (157), (6782) gives:
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6796) all_52_11 = e1
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_7, e2,
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2, e0, simplifying with (158), (6787) gives:
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6797) all_52_7 = e2
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_14,
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2, e0, e1, simplifying with (160), (6753) gives:
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6798) all_52_14 = e2
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_6, e0,
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2, e1, simplifying with (162), (6795) gives:
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6799) all_52_6 = e0
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_14_1, e0,
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3, e2, simplifying with (5128), (6790) gives:
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6800) all_14_1 = e0
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_32_1, e0,
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1, e3, simplifying with (6566), (6766) gives:
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6801) all_32_1 = e0
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_16_1, e1,
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2, e3, simplifying with (6466), (6772) gives:
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6802) all_16_1 = e1
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6572), (6798) imply:
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6803) ~ (e3 = e2)
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6500), (6802) imply:
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6804) ~ (e3 = e1)
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6501), (6802) imply:
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6805) ~ (e2 = e1)
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (238) gives:
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6806) (all_57_3 = e3 & ~ (all_57_1 = e2) & ~ (all_57_8
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_10 = e2) & ~ (all_57_12 =
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_14 = e0) & op(e3, e3) =
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e2) = e3 & op(e2, all_57_9) =
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_8 & op(e2, all_57_11) = all_57_10 &
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_13) = all_57_12 & op(e2,
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15) = all_57_14 & op(e2, e3) = all_57_9
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = all_57_11 & op(e2, e1) =
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_13 & op(e2, e0) = all_57_15 &
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_8) & $i(all_57_9) &
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & $i(all_57_11) & $i(all_57_12) &
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13) & $i(all_57_14) & $i(all_57_15)) |
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_5 = e3 & ~ (all_57_1 = e1) & ~
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_16 = e3) & ~ (all_57_18 = e2) & ~
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_22 = e0) & op(e3,
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_1 & op(e3, e1) = e3 & op(e1,
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17) = all_57_16 & op(e1, all_57_19) =
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_18 & op(e1, all_57_21) = all_57_20 &
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_23) = all_57_22 & op(e1, e3) =
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e1, e2) = all_57_19 & op(e1, e1)
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_21 & op(e1, e0) = all_57_23 &
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_16) & $i(all_57_17) &
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_19) & $i(all_57_20) &
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_22) & $i(all_57_23)) |
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_7 = e3 & ~ (all_57_1 = e0) & ~
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) & op(e3,
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_1 & op(e3, e0) = e3 & op(e0,
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25) = all_57_24 & op(e0, all_57_27) =
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e0, all_57_29) = all_57_28 &
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_31) = all_57_30 & op(e0, e3) =
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_27 & op(e0, e1)
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_29 & op(e0, e0) = all_57_31 &
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_24) & $i(all_57_25) &
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_27) & $i(all_57_28) &
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29) & $i(all_57_30) & $i(all_57_31)) |
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e2 & ~ (all_57_0 = e3) & ~ (all_57_2
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2) & ~ (all_57_4 = e1) & ~ (all_57_6 =
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_11 = e3) & op(e3, all_57_1) =
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_0 & op(e3, all_57_3) = all_57_2 & op(e3,
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_5) = all_57_4 & op(e3, all_57_7) =
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_6 & op(e3, e3) = all_57_1 & op(e3, e2) =
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 & op(e3, e1) = all_57_5 & op(e3, e0) =
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7 & op(e2, e3) = e2 & op(e2, e2) =
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_11 & $i(all_57_0) & $i(all_57_1) &
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_2) & $i(all_57_3) & $i(all_57_4) &
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11))
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6806) gives:
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6807) (all_57_3 = e3 & ~ (all_57_1 = e2) & ~ (all_57_8
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_10 = e2) & ~ (all_57_12 =
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_14 = e0) & op(e3, e3) =
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e2) = e3 & op(e2, all_57_9) =
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_8 & op(e2, all_57_11) = all_57_10 &
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_13) = all_57_12 & op(e2,
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15) = all_57_14 & op(e2, e3) = all_57_9
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = all_57_11 & op(e2, e1) =
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_13 & op(e2, e0) = all_57_15 &
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_8) & $i(all_57_9) &
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & $i(all_57_11) & $i(all_57_12) &
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13) & $i(all_57_14) & $i(all_57_15)) |
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_5 = e3 & ~ (all_57_1 = e1) & ~
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_16 = e3) & ~ (all_57_18 = e2) & ~
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_22 = e0) & op(e3,
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_1 & op(e3, e1) = e3 & op(e1,
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17) = all_57_16 & op(e1, all_57_19) =
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_18 & op(e1, all_57_21) = all_57_20 &
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_23) = all_57_22 & op(e1, e3) =
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e1, e2) = all_57_19 & op(e1, e1)
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_21 & op(e1, e0) = all_57_23 &
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_16) & $i(all_57_17) &
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_19) & $i(all_57_20) &
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_22) & $i(all_57_23))
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (169), (170), (6471), (6571), (6807),
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1929.
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6808) (all_57_7 = e3 & ~ (all_57_1 = e0) & ~
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) & op(e3,
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_1 & op(e3, e0) = e3 & op(e0,
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25) = all_57_24 & op(e0, all_57_27) =
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e0, all_57_29) = all_57_28 &
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_31) = all_57_30 & op(e0, e3) =
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_27 & op(e0, e1)
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_29 & op(e0, e0) = all_57_31 &
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_24) & $i(all_57_25) &
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_27) & $i(all_57_28) &
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29) & $i(all_57_30) & $i(all_57_31)) |
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e2 & ~ (all_57_0 = e3) & ~ (all_57_2
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2) & ~ (all_57_4 = e1) & ~ (all_57_6 =
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_11 = e3) & op(e3, all_57_1) =
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_0 & op(e3, all_57_3) = all_57_2 & op(e3,
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_5) = all_57_4 & op(e3, all_57_7) =
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_6 & op(e3, e3) = all_57_1 & op(e3, e2) =
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 & op(e3, e1) = all_57_5 & op(e3, e0) =
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7 & op(e2, e3) = e2 & op(e2, e2) =
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_11 & $i(all_57_0) & $i(all_57_1) &
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_2) & $i(all_57_3) & $i(all_57_4) &
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11))
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (167), (5131), (6782), (6808), (function-axioms)
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1853.
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6809) (all_57_13 = e2 & ~ (all_57_11 = e1) & ~
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_16 = e3) & ~ (all_57_18 = e2) & ~
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_22 = e0) & op(e2,
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_11 & op(e2, e1) = e2 & op(e1,
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17) = all_57_16 & op(e1, all_57_19) =
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_18 & op(e1, all_57_21) = all_57_20 &
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_23) = all_57_22 & op(e1, e3) =
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e1, e2) = all_57_19 & op(e1, e1)
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_21 & op(e1, e0) = all_57_23 &
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_16) & $i(all_57_17) &
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_19) & $i(all_57_20) &
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_22) & $i(all_57_23)) |
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e2 & ~ (all_57_11 = e0) & ~
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) & op(e2,
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_11 & op(e2, e0) = e2 & op(e0,
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25) = all_57_24 & op(e0, all_57_27) =
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e0, all_57_29) = all_57_28 &
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_31) = all_57_30 & op(e0, e3) =
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_27 & op(e0, e1)
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_29 & op(e0, e0) = all_57_31 &
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_24) & $i(all_57_25) &
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_27) & $i(all_57_28) &
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29) & $i(all_57_30) & $i(all_57_31)) |
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_17 = e1 & ~ (all_57_0 = e3) & ~
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e2) & ~ (all_57_4 = e1) & ~
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_6 = e0) & ~ (all_57_21 = e3) & op(e3,
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1) = all_57_0 & op(e3, all_57_3) =
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_2 & op(e3, all_57_5) = all_57_4 & op(e3,
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7) = all_57_6 & op(e3, e3) = all_57_1 &
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_3 & op(e3, e1) = all_57_5 &
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_7 & op(e1, e3) = e1 & op(e1,
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_21 & $i(all_57_0) & $i(all_57_1)
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_2) & $i(all_57_3) & $i(all_57_4) &
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21)) | (all_57_19 = e1 & ~ (all_57_8
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_10 = e2) & ~ (all_57_12 =
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_14 = e0) & ~ (all_57_21 =
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & op(e2, all_57_9) = all_57_8 & op(e2,
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_11) = all_57_10 & op(e2, all_57_13) =
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & op(e2, all_57_15) = all_57_14 &
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_9 & op(e2, e2) = all_57_11 &
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_57_13 & op(e2, e0) = all_57_15
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e1 & op(e1, e1) = all_57_21 &
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8) & $i(all_57_9) & $i(all_57_10) &
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_12) & $i(all_57_13) &
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & $i(all_57_15) & $i(all_57_21)) |
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (op(e0, e0) = all_57_31 & $i(all_57_31) &
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_23 = e1 & ~ (all_57_21 = e0) & ~
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) &
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_21 & op(e1, e0) = e1 &
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_25) = all_57_24 & op(e0,
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27) = all_57_26 & op(e0, all_57_29)
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_28 & op(e0, all_57_31) = all_57_30
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e3) = all_57_25 & op(e0, e2) =
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27 & op(e0, e1) = all_57_29 &
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_24) &
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_25) & $i(all_57_26) &
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27) & $i(all_57_28) &
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29) & $i(all_57_30)) | (all_57_25
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & ~ (all_57_0 = e3) & ~ (all_57_2 =
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_4 = e1) & ~ (all_57_6 =
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_31 = e3) & op(e3,
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1) = all_57_0 & op(e3, all_57_3) =
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_2 & op(e3, all_57_5) = all_57_4 &
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, all_57_7) = all_57_6 & op(e3, e3) =
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e2) = all_57_3 & op(e3,
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_5 & op(e3, e0) = all_57_7 &
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_0) &
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_2) & $i(all_57_3) &
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4) & $i(all_57_5) & $i(all_57_6) &
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7)) | (all_57_27 = e0 & ~
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e3) & ~ (all_57_10 = e2) & ~
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e1) & ~ (all_57_14 = e0) & ~
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e2) & op(e2, all_57_9) =
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_8 & op(e2, all_57_11) = all_57_10 &
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_13) = all_57_12 & op(e2,
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15) = all_57_14 & op(e2, e3) =
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_9 & op(e2, e2) = all_57_11 & op(e2,
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_13 & op(e2, e0) = all_57_15 &
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_8) &
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9) & $i(all_57_10) & $i(all_57_11)
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_12) & $i(all_57_13) &
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & $i(all_57_15)) | (all_57_29
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & ~ (all_57_16 = e3) & ~ (all_57_18 =
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_20 = e1) & ~ (all_57_22
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_31 = e1) & op(e1,
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17) = all_57_16 & op(e1, all_57_19)
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_18 & op(e1, all_57_21) = all_57_20
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, all_57_23) = all_57_22 & op(e1, e3)
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_17 & op(e1, e2) = all_57_19 &
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_21 & op(e1, e0) =
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23 & op(e0, e1) = e0 & $i(all_57_16)
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_17) & $i(all_57_18) &
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_20) &
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_22) &
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23))))
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6809) gives:
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6810) (all_57_13 = e2 & ~ (all_57_11 = e1) & ~
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_16 = e3) & ~ (all_57_18 = e2) & ~
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_22 = e0) & op(e2,
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_11 & op(e2, e1) = e2 & op(e1,
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17) = all_57_16 & op(e1, all_57_19) =
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_18 & op(e1, all_57_21) = all_57_20 &
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_23) = all_57_22 & op(e1, e3) =
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e1, e2) = all_57_19 & op(e1, e1)
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_21 & op(e1, e0) = all_57_23 &
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_16) & $i(all_57_17) &
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_19) & $i(all_57_20) &
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_22) & $i(all_57_23)) |
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e2 & ~ (all_57_11 = e0) & ~
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) & op(e2,
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_11 & op(e2, e0) = e2 & op(e0,
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25) = all_57_24 & op(e0, all_57_27) =
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e0, all_57_29) = all_57_28 &
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_31) = all_57_30 & op(e0, e3) =
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_27 & op(e0, e1)
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_29 & op(e0, e0) = all_57_31 &
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_24) & $i(all_57_25) &
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_27) & $i(all_57_28) &
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29) & $i(all_57_30) & $i(all_57_31))
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6810) gives:
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6811) all_57_13 = e2 & ~ (all_57_11 = e1) & ~
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_16 = e3) & ~ (all_57_18 = e2) & ~
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_22 = e0) & op(e2,
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_11 & op(e2, e1) = e2 & op(e1,
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17) = all_57_16 & op(e1, all_57_19) =
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_18 & op(e1, all_57_21) = all_57_20 & op(e1,
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23) = all_57_22 & op(e1, e3) = all_57_17
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = all_57_19 & op(e1, e1) = all_57_21
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e0) = all_57_23 & $i(all_57_11) &
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_16) & $i(all_57_17) & $i(all_57_18) &
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_20) & $i(all_57_21) &
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_23)
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6811) implies:
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6812) ~ (all_57_22 = e0)
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6813) op(e1, e0) = all_57_23
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6814) op(e1, e2) = all_57_19
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6815) op(e1, all_57_23) = all_57_22
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6753), (6795), (6812), (6813), (6814), (6815),
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1679.
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.49/31.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6816) all_57_15 = e2 & ~ (all_57_11 = e0) & ~
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) & op(e2,
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_11 & op(e2, e0) = e2 & op(e0,
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25) = all_57_24 & op(e0, all_57_27) =
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e0, all_57_29) = all_57_28 & op(e0,
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_31) = all_57_30 & op(e0, e3) = all_57_25
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e2) = all_57_27 & op(e0, e1) = all_57_29
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = all_57_31 & $i(all_57_11) &
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_24) & $i(all_57_25) & $i(all_57_26) &
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27) & $i(all_57_28) & $i(all_57_29) &
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30) & $i(all_57_31)
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6816) implies:
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6817) ~ (all_57_28 = e1)
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6818) op(e0, e1) = all_57_29
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6819) op(e0, all_57_29) = all_57_28
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6782), (6817), (6818), (6819), (function-axioms)
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1856.
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6820) (all_57_17 = e1 & ~ (all_57_0 = e3) & ~
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e2) & ~ (all_57_4 = e1) & ~
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_6 = e0) & ~ (all_57_21 = e3) & op(e3,
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1) = all_57_0 & op(e3, all_57_3) =
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_2 & op(e3, all_57_5) = all_57_4 & op(e3,
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7) = all_57_6 & op(e3, e3) = all_57_1 &
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_3 & op(e3, e1) = all_57_5 &
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_7 & op(e1, e3) = e1 & op(e1,
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_21 & $i(all_57_0) & $i(all_57_1)
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_2) & $i(all_57_3) & $i(all_57_4) &
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21)) | (all_57_19 = e1 & ~ (all_57_8
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_10 = e2) & ~ (all_57_12 =
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_14 = e0) & ~ (all_57_21 =
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & op(e2, all_57_9) = all_57_8 & op(e2,
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_11) = all_57_10 & op(e2, all_57_13) =
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & op(e2, all_57_15) = all_57_14 &
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_9 & op(e2, e2) = all_57_11 &
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_57_13 & op(e2, e0) = all_57_15
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e1 & op(e1, e1) = all_57_21 &
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8) & $i(all_57_9) & $i(all_57_10) &
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_12) & $i(all_57_13) &
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & $i(all_57_15) & $i(all_57_21)) |
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (op(e0, e0) = all_57_31 & $i(all_57_31) &
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_23 = e1 & ~ (all_57_21 = e0) & ~
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) &
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_21 & op(e1, e0) = e1 &
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_25) = all_57_24 & op(e0,
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27) = all_57_26 & op(e0, all_57_29)
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_28 & op(e0, all_57_31) = all_57_30
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e3) = all_57_25 & op(e0, e2) =
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27 & op(e0, e1) = all_57_29 &
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_24) &
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_25) & $i(all_57_26) &
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27) & $i(all_57_28) &
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29) & $i(all_57_30)) | (all_57_25
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & ~ (all_57_0 = e3) & ~ (all_57_2 =
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_4 = e1) & ~ (all_57_6 =
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_31 = e3) & op(e3,
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1) = all_57_0 & op(e3, all_57_3) =
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_2 & op(e3, all_57_5) = all_57_4 &
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, all_57_7) = all_57_6 & op(e3, e3) =
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e2) = all_57_3 & op(e3,
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_5 & op(e3, e0) = all_57_7 &
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_0) &
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_2) & $i(all_57_3) &
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4) & $i(all_57_5) & $i(all_57_6) &
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7)) | (all_57_27 = e0 & ~
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e3) & ~ (all_57_10 = e2) & ~
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e1) & ~ (all_57_14 = e0) & ~
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e2) & op(e2, all_57_9) =
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_8 & op(e2, all_57_11) = all_57_10 &
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_13) = all_57_12 & op(e2,
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15) = all_57_14 & op(e2, e3) =
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_9 & op(e2, e2) = all_57_11 & op(e2,
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_13 & op(e2, e0) = all_57_15 &
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_8) &
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9) & $i(all_57_10) & $i(all_57_11)
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_12) & $i(all_57_13) &
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & $i(all_57_15)) | (all_57_29
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & ~ (all_57_16 = e3) & ~ (all_57_18 =
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_20 = e1) & ~ (all_57_22
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_31 = e1) & op(e1,
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17) = all_57_16 & op(e1, all_57_19)
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_18 & op(e1, all_57_21) = all_57_20
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, all_57_23) = all_57_22 & op(e1, e3)
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_17 & op(e1, e2) = all_57_19 &
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_21 & op(e1, e0) =
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23 & op(e0, e1) = e0 & $i(all_57_16)
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_17) & $i(all_57_18) &
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_20) &
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_22) &
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23))))
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6820) gives:
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6821) all_57_17 = e1 & ~ (all_57_0 = e3) & ~ (all_57_2
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2) & ~ (all_57_4 = e1) & ~ (all_57_6 = e0)
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_21 = e3) & op(e3, all_57_1) =
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_0 & op(e3, all_57_3) = all_57_2 & op(e3,
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_5) = all_57_4 & op(e3, all_57_7) =
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_6 & op(e3, e3) = all_57_1 & op(e3, e2) =
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 & op(e3, e1) = all_57_5 & op(e3, e0) =
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7 & op(e1, e3) = e1 & op(e1, e1) =
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_21 & $i(all_57_0) & $i(all_57_1) &
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_2) & $i(all_57_3) & $i(all_57_4) &
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21)
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6573), (6821), (function-axioms) are inconsistent
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1926.
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6822) (all_57_19 = e1 & ~ (all_57_8 = e3) & ~
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e2) & ~ (all_57_12 = e1) & ~
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e0) & ~ (all_57_21 = e2) & op(e2,
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_9) = all_57_8 & op(e2, all_57_11) =
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e2, all_57_13) = all_57_12 &
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_15) = all_57_14 & op(e2, e3) =
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_9 & op(e2, e2) = all_57_11 & op(e2, e1) =
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_13 & op(e2, e0) = all_57_15 & op(e1, e2)
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & op(e1, e1) = all_57_21 & $i(all_57_8) &
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9) & $i(all_57_10) & $i(all_57_11) &
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & $i(all_57_13) & $i(all_57_14) &
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & $i(all_57_21)) | (op(e0, e0) =
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_31 & $i(all_57_31) & ((all_57_23 = e1 &
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_21 = e0) & ~ (all_57_24 = e3) &
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_26 = e2) & ~ (all_57_28 = e1) &
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_30 = e0) & op(e1, e1) = all_57_21
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e0) = e1 & op(e0, all_57_25) =
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_24 & op(e0, all_57_27) = all_57_26 &
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_29) = all_57_28 & op(e0,
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_31) = all_57_30 & op(e0, e3) =
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_27 & op(e0,
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_29 & $i(all_57_21) &
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_24) & $i(all_57_25) &
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_27) &
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28) & $i(all_57_29) &
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_25 = e0 & ~
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_0 = e3) & ~ (all_57_2 = e2) & ~
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1) & ~ (all_57_6 = e0) & ~
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e3) & op(e3, all_57_1) =
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_0 & op(e3, all_57_3) = all_57_2 &
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, all_57_5) = all_57_4 & op(e3,
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7) = all_57_6 & op(e3, e3) =
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e2) = all_57_3 & op(e3,
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_5 & op(e3, e0) = all_57_7 &
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_0) &
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_2) & $i(all_57_3) &
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4) & $i(all_57_5) & $i(all_57_6) &
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7)) | (all_57_27 = e0 & ~
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e3) & ~ (all_57_10 = e2) & ~
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e1) & ~ (all_57_14 = e0) & ~
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e2) & op(e2, all_57_9) =
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_8 & op(e2, all_57_11) = all_57_10 &
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_13) = all_57_12 & op(e2,
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15) = all_57_14 & op(e2, e3) =
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_9 & op(e2, e2) = all_57_11 & op(e2,
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_13 & op(e2, e0) = all_57_15 &
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_8) &
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9) & $i(all_57_10) & $i(all_57_11)
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_12) & $i(all_57_13) &
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & $i(all_57_15)) | (all_57_29
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & ~ (all_57_16 = e3) & ~ (all_57_18 =
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_20 = e1) & ~ (all_57_22
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_31 = e1) & op(e1,
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17) = all_57_16 & op(e1, all_57_19)
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_18 & op(e1, all_57_21) = all_57_20
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, all_57_23) = all_57_22 & op(e1, e3)
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_17 & op(e1, e2) = all_57_19 &
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_21 & op(e1, e0) =
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23 & op(e0, e1) = e0 & $i(all_57_16)
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_17) & $i(all_57_18) &
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_20) &
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_22) &
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23))))
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6822) gives:
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6823) all_57_19 = e1 & ~ (all_57_8 = e3) & ~
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e2) & ~ (all_57_12 = e1) & ~
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e0) & ~ (all_57_21 = e2) & op(e2,
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_9) = all_57_8 & op(e2, all_57_11) =
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e2, all_57_13) = all_57_12 & op(e2,
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15) = all_57_14 & op(e2, e3) = all_57_9 &
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_11 & op(e2, e1) = all_57_13 &
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_15 & op(e1, e2) = e1 & op(e1,
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_21 & $i(all_57_8) & $i(all_57_9) &
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & $i(all_57_11) & $i(all_57_12) &
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13) & $i(all_57_14) & $i(all_57_15) &
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21)
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6823) implies:
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6824) op(e1, e2) = e1
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6467) gives:
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6825) ~ (all_16_1 = e1)
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6802), (6825) imply:
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6826) $false
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (6826) is inconsistent.
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e0, e1, e2,
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1, simplifying with (6795), (6824) gives:
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6827) e1 = e0
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (6771), (6827) imply:
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6828) all_56_1 = e0
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (8), (226), (6477), (6786), (6794),
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6828), (function-axioms) are inconsistent by
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1192.
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6829) op(e0, e0) = all_57_31 & $i(all_57_31) &
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_23 = e1 & ~ (all_57_21 = e0) & ~
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) &
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_21 & op(e1, e0) = e1 &
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_25) = all_57_24 & op(e0,
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27) = all_57_26 & op(e0, all_57_29) =
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_28 & op(e0, all_57_31) = all_57_30 &
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_25 & op(e0, e2) =
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27 & op(e0, e1) = all_57_29 &
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_24) & $i(all_57_25)
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_26) & $i(all_57_27) &
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28) & $i(all_57_29) & $i(all_57_30))
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_25 = e0 & ~ (all_57_0 = e3) & ~
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e2) & ~ (all_57_4 = e1) & ~
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_6 = e0) & ~ (all_57_31 = e3) & op(e3,
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1) = all_57_0 & op(e3, all_57_3) =
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_2 & op(e3, all_57_5) = all_57_4 &
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, all_57_7) = all_57_6 & op(e3, e3) =
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e2) = all_57_3 & op(e3, e1)
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_5 & op(e3, e0) = all_57_7 & op(e0,
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e0 & $i(all_57_0) & $i(all_57_1) &
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_2) & $i(all_57_3) & $i(all_57_4) &
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_6) & $i(all_57_7)) |
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_27 = e0 & ~ (all_57_8 = e3) & ~
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e2) & ~ (all_57_12 = e1) & ~
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e0) & ~ (all_57_31 = e2) &
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_9) = all_57_8 & op(e2,
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_11) = all_57_10 & op(e2, all_57_13) =
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & op(e2, all_57_15) = all_57_14 &
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_9 & op(e2, e2) = all_57_11
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = all_57_13 & op(e2, e0) =
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15 & op(e0, e2) = e0 & $i(all_57_8) &
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9) & $i(all_57_10) & $i(all_57_11) &
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & $i(all_57_13) & $i(all_57_14)
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_15)) | (all_57_29 = e0 & ~
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_16 = e3) & ~ (all_57_18 = e2) & ~
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_22 = e0) & ~
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e1) & op(e1, all_57_17) =
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_16 & op(e1, all_57_19) = all_57_18 &
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_21) = all_57_20 & op(e1,
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23) = all_57_22 & op(e1, e3) =
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e1, e2) = all_57_19 & op(e1,
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_21 & op(e1, e0) = all_57_23 &
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_16) &
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_17) & $i(all_57_18) & $i(all_57_19)
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_20) & $i(all_57_21) &
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_23)))
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6829) implies:
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6830) (all_57_23 = e1 & ~ (all_57_21 = e0) & ~
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) & op(e1,
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_21 & op(e1, e0) = e1 & op(e0,
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25) = all_57_24 & op(e0, all_57_27) =
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e0, all_57_29) = all_57_28 &
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_31) = all_57_30 & op(e0, e3) =
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_27 & op(e0, e1)
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_29 & $i(all_57_21) & $i(all_57_24) &
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_25) & $i(all_57_26) & $i(all_57_27) &
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28) & $i(all_57_29) & $i(all_57_30)) |
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_25 = e0 & ~ (all_57_0 = e3) & ~
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e2) & ~ (all_57_4 = e1) & ~
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_6 = e0) & ~ (all_57_31 = e3) & op(e3,
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1) = all_57_0 & op(e3, all_57_3) =
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_2 & op(e3, all_57_5) = all_57_4 & op(e3,
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7) = all_57_6 & op(e3, e3) = all_57_1 &
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_3 & op(e3, e1) = all_57_5 &
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_7 & op(e0, e3) = e0 &
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_0) & $i(all_57_1) & $i(all_57_2) &
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_3) & $i(all_57_4) & $i(all_57_5) &
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_6) & $i(all_57_7)) | (all_57_27 = e0 &
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_8 = e3) & ~ (all_57_10 = e2) & ~
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e1) & ~ (all_57_14 = e0) & ~
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e2) & op(e2, all_57_9) = all_57_8 &
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_11) = all_57_10 & op(e2,
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_13) = all_57_12 & op(e2, all_57_15) =
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_14 & op(e2, e3) = all_57_9 & op(e2, e2) =
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_11 & op(e2, e1) = all_57_13 & op(e2, e0)
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_15 & op(e0, e2) = e0 & $i(all_57_8) &
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9) & $i(all_57_10) & $i(all_57_11) &
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & $i(all_57_13) & $i(all_57_14) &
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15)) | (all_57_29 = e0 & ~ (all_57_16
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_18 = e2) & ~ (all_57_20 =
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_22 = e0) & ~ (all_57_31 =
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & op(e1, all_57_17) = all_57_16 & op(e1,
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_19) = all_57_18 & op(e1, all_57_21) =
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20 & op(e1, all_57_23) = all_57_22 &
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_17 & op(e1, e2) = all_57_19
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = all_57_21 & op(e1, e0) =
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23 & op(e0, e1) = e0 & $i(all_57_16) &
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_17) & $i(all_57_18) & $i(all_57_19) &
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_20) & $i(all_57_21) & $i(all_57_22) &
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23))
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6567) gives:
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6831) ~ (all_32_1 = e0)
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6801), (6831) imply:
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6832) $false
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (6832) is inconsistent.
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6833) ~ (all_32_0 = e2) & op(e0, e3) = all_32_0 &
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_32_0)
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6833) implies:
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6834) op(e0, e3) = all_32_0
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6830) gives:
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6835) (all_57_23 = e1 & ~ (all_57_21 = e0) & ~
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) & op(e1,
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_21 & op(e1, e0) = e1 & op(e0,
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25) = all_57_24 & op(e0, all_57_27) =
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e0, all_57_29) = all_57_28 &
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_31) = all_57_30 & op(e0, e3) =
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_27 & op(e0, e1)
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_29 & $i(all_57_21) & $i(all_57_24) &
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_25) & $i(all_57_26) & $i(all_57_27) &
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28) & $i(all_57_29) & $i(all_57_30)) |
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_25 = e0 & ~ (all_57_0 = e3) & ~
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e2) & ~ (all_57_4 = e1) & ~
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_6 = e0) & ~ (all_57_31 = e3) & op(e3,
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1) = all_57_0 & op(e3, all_57_3) =
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_2 & op(e3, all_57_5) = all_57_4 & op(e3,
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7) = all_57_6 & op(e3, e3) = all_57_1 &
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_3 & op(e3, e1) = all_57_5 &
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_7 & op(e0, e3) = e0 &
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_0) & $i(all_57_1) & $i(all_57_2) &
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_3) & $i(all_57_4) & $i(all_57_5) &
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_6) & $i(all_57_7))
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6835) gives:
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6836) all_57_23 = e1 & ~ (all_57_21 = e0) & ~
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) & op(e1,
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_21 & op(e1, e0) = e1 & op(e0,
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25) = all_57_24 & op(e0, all_57_27) =
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e0, all_57_29) = all_57_28 & op(e0,
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_31) = all_57_30 & op(e0, e3) = all_57_25
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e2) = all_57_27 & op(e0, e1) = all_57_29
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_21) & $i(all_57_24) & $i(all_57_25) &
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_27) & $i(all_57_28) &
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29) & $i(all_57_30)
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6836) implies:
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6837) op(e1, e0) = e1
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (6753), (6837), (function-axioms) are
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1709.
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6838) all_57_25 = e0 & ~ (all_57_0 = e3) & ~ (all_57_2
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2) & ~ (all_57_4 = e1) & ~ (all_57_6 = e0)
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_31 = e3) & op(e3, all_57_1) =
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_0 & op(e3, all_57_3) = all_57_2 & op(e3,
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_5) = all_57_4 & op(e3, all_57_7) =
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_6 & op(e3, e3) = all_57_1 & op(e3, e2) =
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 & op(e3, e1) = all_57_5 & op(e3, e0) =
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7 & op(e0, e3) = e0 & $i(all_57_0) &
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_2) & $i(all_57_3) &
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4) & $i(all_57_5) & $i(all_57_6) &
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7)
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6838) implies:
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6839) op(e0, e3) = e0
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e3, all_32_0,
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3, e0, simplifying with (6585), (6834) gives:
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6840) all_32_0 = e3
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e0, all_32_0,
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3, e0, simplifying with (6834), (6839) gives:
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6841) all_32_0 = e0
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (6840), (6841) imply:
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6842) e3 = e0
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (6588), (6842) imply:
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6843) all_56_9 = e0
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (7), (8), (9), (169), (232), (236),
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5144), (5145), (6571), (6765), (6843),
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #905.
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6844) (all_57_27 = e0 & ~ (all_57_8 = e3) & ~
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e2) & ~ (all_57_12 = e1) & ~
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e0) & ~ (all_57_31 = e2) & op(e2,
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_9) = all_57_8 & op(e2, all_57_11) =
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e2, all_57_13) = all_57_12 &
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_15) = all_57_14 & op(e2, e3) =
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_9 & op(e2, e2) = all_57_11 & op(e2, e1) =
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_13 & op(e2, e0) = all_57_15 & op(e0, e2)
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & $i(all_57_8) & $i(all_57_9) &
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & $i(all_57_11) & $i(all_57_12) &
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13) & $i(all_57_14) & $i(all_57_15)) |
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_29 = e0 & ~ (all_57_16 = e3) & ~
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_18 = e2) & ~ (all_57_20 = e1) & ~
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_22 = e0) & ~ (all_57_31 = e1) & op(e1,
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17) = all_57_16 & op(e1, all_57_19) =
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_18 & op(e1, all_57_21) = all_57_20 &
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_23) = all_57_22 & op(e1, e3) =
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e1, e2) = all_57_19 & op(e1, e1)
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_21 & op(e1, e0) = all_57_23 & op(e0,
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0 & $i(all_57_16) & $i(all_57_17) &
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_19) & $i(all_57_20) &
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_22) & $i(all_57_23))
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (157), (6618), (6787), (6844),
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #904.
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6845) all_56_13 = e0 & op(e0, e2) = e0
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6845) implies:
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6846) op(e0, e2) = e0
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6787), (6846), (function-axioms) are
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1447.
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6847) all_56_3 = e0 & op(e2, e2) = e0
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6847) implies:
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6848) op(e2, e2) = e0
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (6477), (6848), (function-axioms) are
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1661.
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6849) (all_56_5 = e0 & op(e2, e1) = e0) | (all_56_10 =
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0)
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (164), (6619), (6762), (6849),
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #903.
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6850) (all_56_14 = e2 & op(e0, e1) = e2) | (all_56_15 =
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = e2)
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (6623), (6781), (6850),
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #902.
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6851) (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_9 = e1
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e1)
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (8), (6588), (6765), (6851) are inconsistent
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #957.
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6852) all_56_5 = e0 & op(e2, e1) = e0
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6852) implies:
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6853) op(e2, e1) = e0
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6762), (6853), (function-axioms) are
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1852.
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6854) (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_14 =
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0)
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (157), (6573), (6618), (6854),
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1274.
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6855) all_56_10 = e2 & op(e2, e0) = e2
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6855) implies:
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6856) all_56_10 = e2
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (6757), (6856) are inconsistent by sub-proof
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1453.
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | (6857) (all_56_11 = e1 & op(e1, e0) = e1) | (all_56_15 =
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = e1)
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6857) gives:
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6858) all_56_11 = e1 & op(e1, e0) = e1
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6858) implies:
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6859) op(e1, e0) = e1
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (6753), (6859), (function-axioms) are
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1709.
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6860) all_56_15 = e1 & op(e0, e0) = e1
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6860) implies:
% 197.49/31.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6861) op(e0, e0) = e1
% 197.49/31.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6623), (6861), (function-axioms) are
% 197.49/31.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1708.
% 197.49/31.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.49/31.41 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.41 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.49/31.41 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.41 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.49/31.41 | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.41 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.49/31.41 | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.41 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.49/31.41 | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.41 | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.49/31.41 | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.41 | | | | | | | | | | | | | | | | | | | | | End of split
% 197.49/31.41 | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.41 | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.49/31.41 | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.41 | | | | | | | | | | | | | | | | | | | | | (6862) all_40_2 = e1
% 197.49/31.41 | | | | | | | | | | | | | | | | | | | | | (6863) op(e1, e0) = all_40_1 & $i(all_40_1) & ( ~
% 197.49/31.41 | | | | | | | | | | | | | | | | | | | | | (all_40_1 = e3) | ( ~ (all_40_0 = e2) & op(e3,
% 197.49/31.41 | | | | | | | | | | | | | | | | | | | | | e1) = all_40_0 & $i(all_40_0)))
% 197.49/31.41 | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.41 | | | | | | | | | | | | | | | | | | | | | ALPHA: (6863) implies:
% 197.49/31.41 | | | | | | | | | | | | | | | | | | | | | (6864) op(e1, e0) = all_40_1
% 197.49/31.41 | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.41 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (307), (6862) imply:
% 197.49/31.41 | | | | | | | | | | | | | | | | | | | | | (6865) all_10_2 = e1
% 197.49/31.41 | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.41 | | | | | | | | | | | | | | | | | | | | | SIMP: (6865) implies:
% 197.49/31.41 | | | | | | | | | | | | | | | | | | | | | (6866) all_10_2 = e1
% 197.49/31.41 | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.41 | | | | | | | | | | | | | | | | | | | | | REDUCE: (376), (6866) imply:
% 197.49/31.41 | | | | | | | | | | | | | | | | | | | | | (6867) ~ (e3 = e1)
% 197.49/31.41 | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.41 | | | | | | | | | | | | | | | | | | | | | REDUCE: (6503), (6866) imply:
% 197.49/31.41 | | | | | | | | | | | | | | | | | | | | | (6868) ~ (e2 = e1)
% 197.49/31.41 | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.41 | | | | | | | | | | | | | | | | | | | | | REDUCE: (45), (6866) imply:
% 197.49/31.41 | | | | | | | | | | | | | | | | | | | | | (6869) op(e0, e0) = e1
% 197.49/31.41 | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.41 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (223) gives:
% 197.49/31.41 | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.41 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.49/31.41 | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.41 | | | | | | | | | | | | | | | | | | | | | | (6870) (all_56_2 = e2 & op(e2, e3) = e2) | (all_56_3 = e2
% 197.49/31.41 | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e2)
% 197.49/31.41 | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.41 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (167), (5131), (6477), (6870),
% 197.49/31.41 | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 197.49/31.41 | | | | | | | | | | | | | | | | | | | | | | #909.
% 197.49/31.41 | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.41 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.49/31.41 | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.41 | | | | | | | | | | | | | | | | | | | | | | (6871) (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_10 =
% 197.49/31.41 | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2)
% 197.49/31.41 | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.41 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6871) gives:
% 197.49/31.41 | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.41 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.49/31.41 | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.41 | | | | | | | | | | | | | | | | | | | | | | | (6872) all_56_5 = e2 & op(e2, e1) = e2
% 197.49/31.41 | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.41 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6872) implies:
% 197.49/31.41 | | | | | | | | | | | | | | | | | | | | | | | (6873) all_56_5 = e2
% 197.49/31.41 | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.41 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (218) gives:
% 197.49/31.41 | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.41 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.49/31.41 | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.41 | | | | | | | | | | | | | | | | | | | | | | | | (6874) (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_5 = e1
% 197.49/31.41 | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e1)
% 197.49/31.41 | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.41 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6874) gives:
% 197.49/31.41 | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.41 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.49/31.41 | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.41 | | | | | | | | | | | | | | | | | | | | | | | | | (6875) all_56_4 = e1 & op(e3, e1) = e1
% 197.49/31.41 | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.41 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6875) implies:
% 197.49/31.41 | | | | | | | | | | | | | | | | | | | | | | | | | (6876) all_56_4 = e1
% 197.49/31.41 | | | | | | | | | | | | | | | | | | | | | | | | | (6877) op(e3, e1) = e1
% 197.49/31.41 | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.41 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (222) gives:
% 197.49/31.41 | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.41 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.49/31.41 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.41 | | | | | | | | | | | | | | | | | | | | | | | | | | (6878) (all_56_2 = e1 & op(e2, e3) = e1) | (all_56_3 = e1
% 197.49/31.41 | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1)
% 197.49/31.41 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.41 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6878) gives:
% 197.49/31.41 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.41 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.49/31.41 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | (6879) all_56_2 = e1 & op(e2, e3) = e1
% 197.49/31.41 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6879) implies:
% 197.49/31.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | (6880) all_56_2 = e1
% 197.49/31.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | (6881) op(e2, e3) = e1
% 197.49/31.41 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (217) gives:
% 197.49/31.41 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.49/31.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6882) (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_5 = e0
% 197.49/31.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e0)
% 197.49/31.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6882) gives:
% 197.49/31.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.49/31.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6883) all_56_4 = e0 & op(e3, e1) = e0
% 197.49/31.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6883) implies:
% 197.49/31.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6884) all_56_4 = e0
% 197.49/31.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (45), (128), (140),
% 197.49/31.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (143), (144), (162), (163), (168), (191), (192),
% 197.49/31.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (195), (196), (206), (211), (212), (221), (232),
% 197.49/31.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (248), (249), (258), (259), (376), (5128), (5129),
% 197.49/31.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5133), (5136), (5145), (5152), (5154), (6466),
% 197.49/31.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6467), (6472), (6473), (6477), (6493), (6495),
% 197.49/31.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6869), (6873), (6880), (6881), (6884),
% 197.49/31.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 197.49/31.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #900.
% 197.49/31.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.49/31.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6885) all_56_5 = e0 & op(e2, e1) = e0
% 197.49/31.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6873), (6885) are inconsistent by sub-proof
% 197.49/31.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #901.
% 197.49/31.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.49/31.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.49/31.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6886) (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_14 =
% 197.49/31.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0)
% 197.49/31.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6886) gives:
% 197.49/31.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.49/31.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6887) all_56_8 = e0 & op(e1, e1) = e0
% 197.49/31.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6887) implies:
% 197.49/31.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6888) op(e1, e1) = e0
% 197.49/31.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (6573), (6888), (function-axioms) are
% 197.49/31.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1918.
% 197.49/31.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.49/31.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6889) all_56_14 = e0 & op(e0, e1) = e0
% 197.49/31.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6889) implies:
% 197.49/31.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6890) op(e0, e1) = e0
% 197.49/31.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (221) gives:
% 197.49/31.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.49/31.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6891) (all_56_2 = e0 & op(e2, e3) = e0) | (all_56_3 = e0
% 197.49/31.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e0)
% 197.49/31.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6891) gives:
% 197.49/31.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.49/31.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6892) all_56_2 = e0 & op(e2, e3) = e0
% 197.49/31.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (45), (128), (140),
% 197.49/31.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (143), (144), (162), (163), (168), (191), (192),
% 197.49/31.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (195), (196), (206), (211), (212), (221), (232),
% 197.49/31.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (248), (249), (258), (259), (376), (5128), (5129),
% 197.49/31.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5133), (5136), (5145), (5152), (5154), (6466),
% 197.49/31.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6467), (6472), (6473), (6477), (6493), (6495),
% 197.49/31.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6869), (6873), (6876), (6880), (6881), (6892),
% 197.49/31.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 197.49/31.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #899.
% 197.49/31.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.49/31.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6893) all_56_3 = e0 & op(e2, e2) = e0
% 197.49/31.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6893) implies:
% 197.49/31.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6894) op(e2, e2) = e0
% 197.49/31.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (6477), (6894), (function-axioms) are
% 197.49/31.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1661.
% 197.49/31.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.49/31.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.49/31.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6895) (all_56_5 = e0 & op(e2, e1) = e0) | (all_56_10 =
% 197.49/31.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0)
% 197.49/31.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6895) gives:
% 197.49/31.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.49/31.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6896) all_56_5 = e0 & op(e2, e1) = e0
% 197.49/31.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6873), (6896) are inconsistent by sub-proof
% 197.49/31.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #901.
% 197.49/31.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.49/31.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6897) all_56_10 = e0 & op(e2, e0) = e0
% 197.49/31.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6897) implies:
% 197.49/31.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6898) op(e2, e0) = e0
% 197.49/31.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (239) gives:
% 197.49/31.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.49/31.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6899) (all_57_1 = e2 & ~ (all_57_3 = e3) & ~ (all_57_8
% 197.49/31.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_10 = e2) & ~ (all_57_12 =
% 197.49/31.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_14 = e0) & op(e3, e3) = e2 &
% 197.49/31.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_3 & op(e2, all_57_9) =
% 197.49/31.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_8 & op(e2, all_57_11) = all_57_10 &
% 197.49/31.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_13) = all_57_12 & op(e2,
% 197.49/31.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15) = all_57_14 & op(e2, e3) = all_57_9
% 197.49/31.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = all_57_11 & op(e2, e1) =
% 197.49/31.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_13 & op(e2, e0) = all_57_15 &
% 197.49/31.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_3) & $i(all_57_8) & $i(all_57_9) &
% 197.49/31.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & $i(all_57_11) & $i(all_57_12) &
% 197.49/31.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13) & $i(all_57_14) & $i(all_57_15)) |
% 197.49/31.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e1 & ~ (all_57_5 = e3) & ~
% 197.49/31.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_16 = e3) & ~ (all_57_18 = e2) & ~
% 197.49/31.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_22 = e0) & op(e3,
% 197.49/31.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e1 & op(e3, e1) = all_57_5 & op(e1,
% 197.49/31.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17) = all_57_16 & op(e1, all_57_19) =
% 197.49/31.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_18 & op(e1, all_57_21) = all_57_20 &
% 197.49/31.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_23) = all_57_22 & op(e1, e3) =
% 197.49/31.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e1, e2) = all_57_19 & op(e1, e1)
% 197.49/31.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_21 & op(e1, e0) = all_57_23 &
% 197.49/31.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_16) & $i(all_57_17) &
% 197.49/31.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_19) & $i(all_57_20) &
% 197.49/31.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_22) & $i(all_57_23)) |
% 197.49/31.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e0 & ~ (all_57_7 = e3) & ~
% 197.49/31.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 197.49/31.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) & op(e3,
% 197.49/31.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e0 & op(e3, e0) = all_57_7 & op(e0,
% 197.49/31.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25) = all_57_24 & op(e0, all_57_27) =
% 197.49/31.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e0, all_57_29) = all_57_28 &
% 197.49/31.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_31) = all_57_30 & op(e0, e3) =
% 197.49/31.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_27 & op(e0, e1)
% 197.49/31.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_29 & op(e0, e0) = all_57_31 &
% 197.49/31.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7) & $i(all_57_24) & $i(all_57_25) &
% 197.49/31.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_27) & $i(all_57_28) &
% 197.49/31.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29) & $i(all_57_30) & $i(all_57_31)) |
% 197.49/31.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e3 & ~ (all_57_0 = e3) & ~
% 197.49/31.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e2) & ~ (all_57_4 = e1) & ~
% 197.49/31.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_6 = e0) & ~ (all_57_9 = e2) & op(e3,
% 197.49/31.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1) = all_57_0 & op(e3, all_57_3) =
% 197.49/31.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_2 & op(e3, all_57_5) = all_57_4 & op(e3,
% 197.49/31.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7) = all_57_6 & op(e3, e3) = all_57_1 &
% 197.49/31.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_3 & op(e3, e1) = all_57_5 &
% 197.49/31.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_7 & op(e2, e3) = all_57_9 &
% 197.49/31.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e3 & $i(all_57_0) & $i(all_57_1) &
% 197.49/31.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_2) & $i(all_57_3) & $i(all_57_4) &
% 197.49/31.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 197.49/31.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9))
% 197.49/31.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6899) gives:
% 197.49/31.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.49/31.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6900) (all_57_1 = e2 & ~ (all_57_3 = e3) & ~ (all_57_8
% 197.49/31.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_10 = e2) & ~ (all_57_12 =
% 197.49/31.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_14 = e0) & op(e3, e3) = e2 &
% 197.49/31.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_3 & op(e2, all_57_9) =
% 197.49/31.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_8 & op(e2, all_57_11) = all_57_10 &
% 197.49/31.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_13) = all_57_12 & op(e2,
% 197.49/31.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15) = all_57_14 & op(e2, e3) = all_57_9
% 197.49/31.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = all_57_11 & op(e2, e1) =
% 197.49/31.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_13 & op(e2, e0) = all_57_15 &
% 197.49/31.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_3) & $i(all_57_8) & $i(all_57_9) &
% 197.49/31.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & $i(all_57_11) & $i(all_57_12) &
% 197.49/31.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13) & $i(all_57_14) & $i(all_57_15)) |
% 197.49/31.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e1 & ~ (all_57_5 = e3) & ~
% 197.49/31.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_16 = e3) & ~ (all_57_18 = e2) & ~
% 197.49/31.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_22 = e0) & op(e3,
% 197.49/31.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e1 & op(e3, e1) = all_57_5 & op(e1,
% 197.49/31.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17) = all_57_16 & op(e1, all_57_19) =
% 197.49/31.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_18 & op(e1, all_57_21) = all_57_20 &
% 197.49/31.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_23) = all_57_22 & op(e1, e3) =
% 197.49/31.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e1, e2) = all_57_19 & op(e1, e1)
% 197.49/31.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_21 & op(e1, e0) = all_57_23 &
% 197.49/31.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_16) & $i(all_57_17) &
% 197.49/31.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_19) & $i(all_57_20) &
% 197.49/31.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_22) & $i(all_57_23))
% 197.49/31.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6900) gives:
% 197.49/31.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.49/31.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6901) all_57_1 = e2 & ~ (all_57_3 = e3) & ~ (all_57_8
% 197.49/31.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_10 = e2) & ~ (all_57_12 =
% 197.49/31.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_14 = e0) & op(e3, e3) = e2 &
% 197.49/31.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_3 & op(e2, all_57_9) =
% 197.49/31.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_8 & op(e2, all_57_11) = all_57_10 & op(e2,
% 197.49/31.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_13) = all_57_12 & op(e2, all_57_15) =
% 197.49/31.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_14 & op(e2, e3) = all_57_9 & op(e2, e2) =
% 197.49/31.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_11 & op(e2, e1) = all_57_13 & op(e2, e0) =
% 197.49/31.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15 & $i(all_57_3) & $i(all_57_8) &
% 197.49/31.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9) & $i(all_57_10) & $i(all_57_11) &
% 197.49/31.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & $i(all_57_13) & $i(all_57_14) &
% 197.49/31.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15)
% 197.49/31.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6901) implies:
% 197.49/31.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6902) ~ (all_57_14 = e0)
% 197.49/31.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6903) op(e2, e0) = all_57_15
% 197.49/31.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6904) op(e2, all_57_15) = all_57_14
% 197.49/31.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6898), (6902), (6903), (6904), (function-axioms)
% 197.49/31.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1156.
% 197.49/31.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.49/31.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6905) all_57_1 = e1 & ~ (all_57_5 = e3) & ~ (all_57_16
% 197.49/31.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_18 = e2) & ~ (all_57_20 =
% 197.49/31.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_22 = e0) & op(e3, e3) = e1 &
% 197.49/31.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_57_5 & op(e1, all_57_17) =
% 197.49/31.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_16 & op(e1, all_57_19) = all_57_18 & op(e1,
% 197.49/31.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_21) = all_57_20 & op(e1, all_57_23) =
% 197.49/31.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_22 & op(e1, e3) = all_57_17 & op(e1, e2) =
% 197.49/31.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_19 & op(e1, e1) = all_57_21 & op(e1, e0) =
% 197.49/31.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23 & $i(all_57_5) & $i(all_57_16) &
% 197.49/31.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_17) & $i(all_57_18) & $i(all_57_19) &
% 197.49/31.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_20) & $i(all_57_21) & $i(all_57_22) &
% 197.49/31.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23)
% 197.49/31.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6905) implies:
% 197.49/31.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6906) op(e3, e3) = e1
% 197.49/31.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (5145), (6906), (function-axioms) are
% 197.49/31.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1966.
% 197.49/31.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.49/31.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.49/31.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6907) (all_57_1 = e0 & ~ (all_57_7 = e3) & ~
% 197.49/31.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 197.49/31.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) & op(e3,
% 197.49/31.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e0 & op(e3, e0) = all_57_7 & op(e0,
% 197.49/31.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25) = all_57_24 & op(e0, all_57_27) =
% 197.49/31.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e0, all_57_29) = all_57_28 &
% 197.49/31.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_31) = all_57_30 & op(e0, e3) =
% 197.49/31.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_27 & op(e0, e1)
% 197.49/31.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_29 & op(e0, e0) = all_57_31 &
% 197.49/31.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7) & $i(all_57_24) & $i(all_57_25) &
% 197.49/31.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_27) & $i(all_57_28) &
% 197.49/31.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29) & $i(all_57_30) & $i(all_57_31)) |
% 197.49/31.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e3 & ~ (all_57_0 = e3) & ~
% 197.49/31.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e2) & ~ (all_57_4 = e1) & ~
% 197.49/31.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_6 = e0) & ~ (all_57_9 = e2) & op(e3,
% 197.49/31.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1) = all_57_0 & op(e3, all_57_3) =
% 197.49/31.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_2 & op(e3, all_57_5) = all_57_4 & op(e3,
% 197.49/31.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7) = all_57_6 & op(e3, e3) = all_57_1 &
% 197.49/31.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_3 & op(e3, e1) = all_57_5 &
% 197.49/31.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_7 & op(e2, e3) = all_57_9 &
% 197.49/31.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e3 & $i(all_57_0) & $i(all_57_1) &
% 197.49/31.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_2) & $i(all_57_3) & $i(all_57_4) &
% 197.49/31.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 197.49/31.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9))
% 197.49/31.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6589), (6877), (6907), (function-axioms) are
% 197.49/31.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #898.
% 197.49/31.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.49/31.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.49/31.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6908) (all_57_11 = e1 & ~ (all_57_13 = e2) & ~
% 197.49/31.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_16 = e3) & ~ (all_57_18 = e2) & ~
% 197.49/31.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_22 = e0) & op(e2,
% 197.49/31.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e1 & op(e2, e1) = all_57_13 & op(e1,
% 197.49/31.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17) = all_57_16 & op(e1, all_57_19) =
% 197.49/31.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_18 & op(e1, all_57_21) = all_57_20 &
% 197.49/31.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_23) = all_57_22 & op(e1, e3) =
% 197.49/31.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e1, e2) = all_57_19 & op(e1, e1)
% 197.49/31.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_21 & op(e1, e0) = all_57_23 &
% 197.49/31.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13) & $i(all_57_16) & $i(all_57_17) &
% 197.49/31.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_19) & $i(all_57_20) &
% 197.49/31.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_22) & $i(all_57_23)) |
% 197.49/31.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e0 & ~ (all_57_15 = e2) & ~
% 197.49/31.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 197.49/31.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) & op(e2,
% 197.49/31.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e0 & op(e2, e0) = all_57_15 & op(e0,
% 197.49/31.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25) = all_57_24 & op(e0, all_57_27) =
% 197.49/31.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e0, all_57_29) = all_57_28 &
% 197.49/31.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_31) = all_57_30 & op(e0, e3) =
% 197.49/31.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_27 & op(e0, e1)
% 197.49/31.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_29 & op(e0, e0) = all_57_31 &
% 197.49/31.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & $i(all_57_24) & $i(all_57_25) &
% 197.49/31.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_27) & $i(all_57_28) &
% 197.49/31.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29) & $i(all_57_30) & $i(all_57_31)) |
% 197.49/31.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e3 & ~ (all_57_0 = e3) & ~
% 197.49/31.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e2) & ~ (all_57_4 = e1) & ~
% 197.49/31.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_6 = e0) & ~ (all_57_17 = e1) & op(e3,
% 197.49/31.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1) = all_57_0 & op(e3, all_57_3) =
% 197.49/31.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_2 & op(e3, all_57_5) = all_57_4 & op(e3,
% 197.49/31.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7) = all_57_6 & op(e3, e3) = all_57_1 &
% 197.49/31.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_3 & op(e3, e1) = all_57_5 &
% 197.49/31.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_7 & op(e1, e3) = all_57_17 &
% 197.49/31.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e3 & $i(all_57_0) & $i(all_57_1) &
% 197.49/31.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_2) & $i(all_57_3) & $i(all_57_4) &
% 197.49/31.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 197.49/31.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_17)) | (all_57_21 = e2 & ~ (all_57_8
% 197.49/31.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_10 = e2) & ~ (all_57_12 =
% 197.49/31.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_14 = e0) & ~ (all_57_19 =
% 197.49/31.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & op(e2, all_57_9) = all_57_8 & op(e2,
% 197.49/31.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_11) = all_57_10 & op(e2, all_57_13) =
% 197.49/31.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & op(e2, all_57_15) = all_57_14 &
% 197.49/31.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_9 & op(e2, e2) = all_57_11 &
% 197.49/31.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_57_13 & op(e2, e0) = all_57_15
% 197.49/31.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = all_57_19 & op(e1, e1) = e2 &
% 197.49/31.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8) & $i(all_57_9) & $i(all_57_10) &
% 197.49/31.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_12) & $i(all_57_13) &
% 197.49/31.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & $i(all_57_15) & $i(all_57_19)) |
% 197.49/31.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (op(e0, e0) = all_57_31 & $i(all_57_31) &
% 197.49/31.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_21 = e0 & ~ (all_57_23 = e1) & ~
% 197.49/31.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 197.49/31.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) &
% 197.49/31.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = all_57_23 &
% 197.49/31.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_25) = all_57_24 & op(e0,
% 197.49/31.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27) = all_57_26 & op(e0, all_57_29)
% 197.49/31.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_28 & op(e0, all_57_31) = all_57_30
% 197.49/31.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e3) = all_57_25 & op(e0, e2) =
% 197.49/31.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27 & op(e0, e1) = all_57_29 &
% 197.49/31.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23) & $i(all_57_24) &
% 197.49/31.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_25) & $i(all_57_26) &
% 197.49/31.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27) & $i(all_57_28) &
% 197.49/31.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29) & $i(all_57_30)) | (all_57_31
% 197.49/31.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & ~ (all_57_0 = e3) & ~ (all_57_2 =
% 197.49/31.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_4 = e1) & ~ (all_57_6 =
% 197.49/31.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_25 = e0) & op(e3,
% 197.49/31.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1) = all_57_0 & op(e3, all_57_3) =
% 197.49/31.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_2 & op(e3, all_57_5) = all_57_4 &
% 197.49/31.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, all_57_7) = all_57_6 & op(e3, e3) =
% 197.49/31.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e2) = all_57_3 & op(e3,
% 197.49/31.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_5 & op(e3, e0) = all_57_7 &
% 197.49/31.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_25 & $i(all_57_0) &
% 197.49/31.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_2) & $i(all_57_3) &
% 197.49/31.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4) & $i(all_57_5) & $i(all_57_6) &
% 197.49/31.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7) & $i(all_57_25)) | (all_57_31 =
% 197.49/31.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_8 = e3) & ~ (all_57_10 =
% 197.49/31.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_12 = e1) & ~ (all_57_14
% 197.49/31.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_27 = e0) & op(e2,
% 197.49/31.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_9) = all_57_8 & op(e2, all_57_11) =
% 197.49/31.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e2, all_57_13) = all_57_12 &
% 197.49/31.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_15) = all_57_14 & op(e2, e3) =
% 197.49/31.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_9 & op(e2, e2) = all_57_11 & op(e2,
% 197.49/31.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_13 & op(e2, e0) = all_57_15 &
% 197.49/31.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_27 & $i(all_57_8) &
% 197.49/31.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9) & $i(all_57_10) & $i(all_57_11)
% 197.49/31.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_12) & $i(all_57_13) &
% 197.49/31.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & $i(all_57_15) &
% 197.49/31.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27)) | (all_57_31 = e1 & ~
% 197.49/31.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_16 = e3) & ~ (all_57_18 = e2) & ~
% 197.49/31.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_22 = e0) & ~
% 197.49/31.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_29 = e0) & op(e1, all_57_17) =
% 197.49/31.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_16 & op(e1, all_57_19) = all_57_18 &
% 197.49/31.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_21) = all_57_20 & op(e1,
% 197.49/31.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23) = all_57_22 & op(e1, e3) =
% 197.49/31.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e1, e2) = all_57_19 & op(e1,
% 197.49/31.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_21 & op(e1, e0) = all_57_23 &
% 197.49/31.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = all_57_29 & $i(all_57_16) &
% 197.49/31.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_17) & $i(all_57_18) &
% 197.49/31.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_20) &
% 197.49/31.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_22) &
% 197.49/31.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23) & $i(all_57_29))))
% 197.49/31.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6908) gives:
% 197.49/31.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.49/31.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6909) (all_57_11 = e1 & ~ (all_57_13 = e2) & ~
% 197.49/31.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_16 = e3) & ~ (all_57_18 = e2) & ~
% 197.49/31.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_22 = e0) & op(e2,
% 197.49/31.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e1 & op(e2, e1) = all_57_13 & op(e1,
% 197.49/31.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17) = all_57_16 & op(e1, all_57_19) =
% 197.49/31.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_18 & op(e1, all_57_21) = all_57_20 &
% 197.49/31.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_23) = all_57_22 & op(e1, e3) =
% 197.49/31.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e1, e2) = all_57_19 & op(e1, e1)
% 197.49/31.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_21 & op(e1, e0) = all_57_23 &
% 197.49/31.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13) & $i(all_57_16) & $i(all_57_17) &
% 197.49/31.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_19) & $i(all_57_20) &
% 197.49/31.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_22) & $i(all_57_23)) |
% 197.49/31.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e0 & ~ (all_57_15 = e2) & ~
% 197.49/31.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 197.49/31.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) & op(e2,
% 197.49/31.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e0 & op(e2, e0) = all_57_15 & op(e0,
% 197.49/31.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25) = all_57_24 & op(e0, all_57_27) =
% 197.49/31.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e0, all_57_29) = all_57_28 &
% 197.49/31.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_31) = all_57_30 & op(e0, e3) =
% 197.49/31.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_27 & op(e0, e1)
% 197.49/31.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_29 & op(e0, e0) = all_57_31 &
% 197.49/31.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & $i(all_57_24) & $i(all_57_25) &
% 197.49/31.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_27) & $i(all_57_28) &
% 197.49/31.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29) & $i(all_57_30) & $i(all_57_31))
% 197.49/31.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6909) gives:
% 197.49/31.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.49/31.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6910) all_57_11 = e1 & ~ (all_57_13 = e2) & ~
% 197.49/31.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_16 = e3) & ~ (all_57_18 = e2) & ~
% 197.49/31.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_22 = e0) & op(e2,
% 197.49/31.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e1 & op(e2, e1) = all_57_13 & op(e1,
% 197.49/31.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17) = all_57_16 & op(e1, all_57_19) =
% 197.49/31.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_18 & op(e1, all_57_21) = all_57_20 & op(e1,
% 197.49/31.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23) = all_57_22 & op(e1, e3) = all_57_17
% 197.49/31.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = all_57_19 & op(e1, e1) = all_57_21
% 197.49/31.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e0) = all_57_23 & $i(all_57_13) &
% 197.49/31.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_16) & $i(all_57_17) & $i(all_57_18) &
% 197.49/31.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_20) & $i(all_57_21) &
% 197.49/31.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_23)
% 197.49/31.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6910) implies:
% 197.49/31.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6911) op(e2, e2) = e1
% 197.49/31.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (6477), (6911), (function-axioms) are
% 197.49/31.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1684.
% 197.49/31.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.49/31.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6912) all_57_11 = e0 & ~ (all_57_15 = e2) & ~
% 197.49/31.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 197.49/31.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) & op(e2,
% 197.49/31.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e0 & op(e2, e0) = all_57_15 & op(e0,
% 197.49/31.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25) = all_57_24 & op(e0, all_57_27) =
% 197.49/31.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e0, all_57_29) = all_57_28 & op(e0,
% 197.49/31.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_31) = all_57_30 & op(e0, e3) = all_57_25
% 197.49/31.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e2) = all_57_27 & op(e0, e1) = all_57_29
% 197.49/31.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = all_57_31 & $i(all_57_15) &
% 197.49/31.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_24) & $i(all_57_25) & $i(all_57_26) &
% 197.49/31.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27) & $i(all_57_28) & $i(all_57_29) &
% 197.49/31.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30) & $i(all_57_31)
% 197.49/31.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6912) implies:
% 197.49/31.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6913) ~ (all_57_24 = e3)
% 197.49/31.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6914) op(e0, e3) = all_57_25
% 197.49/31.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6915) op(e0, all_57_25) = all_57_24
% 197.49/31.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (9), (163), (235), (5144), (6570), (6880),
% 197.49/31.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6913), (6914), (6915), (function-axioms) are
% 197.49/31.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #953.
% 197.49/31.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.49/31.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.49/31.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6916) (all_57_21 = e3 & ~ (all_57_0 = e3) & ~
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e2) & ~ (all_57_4 = e1) & ~
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_6 = e0) & ~ (all_57_17 = e1) & op(e3,
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1) = all_57_0 & op(e3, all_57_3) =
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_2 & op(e3, all_57_5) = all_57_4 & op(e3,
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7) = all_57_6 & op(e3, e3) = all_57_1 &
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_3 & op(e3, e1) = all_57_5 &
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_7 & op(e1, e3) = all_57_17 &
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e3 & $i(all_57_0) & $i(all_57_1) &
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_2) & $i(all_57_3) & $i(all_57_4) &
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_17)) | (all_57_21 = e2 & ~ (all_57_8
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_10 = e2) & ~ (all_57_12 =
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_14 = e0) & ~ (all_57_19 =
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & op(e2, all_57_9) = all_57_8 & op(e2,
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_11) = all_57_10 & op(e2, all_57_13) =
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & op(e2, all_57_15) = all_57_14 &
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_9 & op(e2, e2) = all_57_11 &
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_57_13 & op(e2, e0) = all_57_15
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = all_57_19 & op(e1, e1) = e2 &
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8) & $i(all_57_9) & $i(all_57_10) &
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_12) & $i(all_57_13) &
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & $i(all_57_15) & $i(all_57_19)) |
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (op(e0, e0) = all_57_31 & $i(all_57_31) &
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_21 = e0 & ~ (all_57_23 = e1) & ~
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) &
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = all_57_23 &
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_25) = all_57_24 & op(e0,
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27) = all_57_26 & op(e0, all_57_29)
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_28 & op(e0, all_57_31) = all_57_30
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e3) = all_57_25 & op(e0, e2) =
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27 & op(e0, e1) = all_57_29 &
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23) & $i(all_57_24) &
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_25) & $i(all_57_26) &
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27) & $i(all_57_28) &
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29) & $i(all_57_30)) | (all_57_31
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & ~ (all_57_0 = e3) & ~ (all_57_2 =
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_4 = e1) & ~ (all_57_6 =
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_25 = e0) & op(e3,
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1) = all_57_0 & op(e3, all_57_3) =
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_2 & op(e3, all_57_5) = all_57_4 &
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, all_57_7) = all_57_6 & op(e3, e3) =
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e2) = all_57_3 & op(e3,
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_5 & op(e3, e0) = all_57_7 &
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_25 & $i(all_57_0) &
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_2) & $i(all_57_3) &
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4) & $i(all_57_5) & $i(all_57_6) &
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7) & $i(all_57_25)) | (all_57_31 =
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_8 = e3) & ~ (all_57_10 =
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_12 = e1) & ~ (all_57_14
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_27 = e0) & op(e2,
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_9) = all_57_8 & op(e2, all_57_11) =
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e2, all_57_13) = all_57_12 &
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_15) = all_57_14 & op(e2, e3) =
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_9 & op(e2, e2) = all_57_11 & op(e2,
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_13 & op(e2, e0) = all_57_15 &
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_27 & $i(all_57_8) &
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9) & $i(all_57_10) & $i(all_57_11)
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_12) & $i(all_57_13) &
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & $i(all_57_15) &
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27)) | (all_57_31 = e1 & ~
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_16 = e3) & ~ (all_57_18 = e2) & ~
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_22 = e0) & ~
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_29 = e0) & op(e1, all_57_17) =
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_16 & op(e1, all_57_19) = all_57_18 &
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_21) = all_57_20 & op(e1,
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23) = all_57_22 & op(e1, e3) =
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e1, e2) = all_57_19 & op(e1,
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_21 & op(e1, e0) = all_57_23 &
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = all_57_29 & $i(all_57_16) &
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_17) & $i(all_57_18) &
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_20) &
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_22) &
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23) & $i(all_57_29))))
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6916) gives:
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6917) all_57_21 = e3 & ~ (all_57_0 = e3) & ~ (all_57_2
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2) & ~ (all_57_4 = e1) & ~ (all_57_6 = e0)
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_17 = e1) & op(e3, all_57_1) =
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_0 & op(e3, all_57_3) = all_57_2 & op(e3,
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_5) = all_57_4 & op(e3, all_57_7) =
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_6 & op(e3, e3) = all_57_1 & op(e3, e2) =
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 & op(e3, e1) = all_57_5 & op(e3, e0) =
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7 & op(e1, e3) = all_57_17 & op(e1, e1) =
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & $i(all_57_0) & $i(all_57_1) & $i(all_57_2) &
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_3) & $i(all_57_4) & $i(all_57_5) &
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_6) & $i(all_57_7) & $i(all_57_17)
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6917) implies:
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6918) ~ (all_57_4 = e1)
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6919) op(e3, e1) = all_57_5
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6920) op(e3, all_57_5) = all_57_4
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6877), (6918), (6919), (6920), (function-axioms)
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1390.
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6921) (all_57_21 = e2 & ~ (all_57_8 = e3) & ~
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e2) & ~ (all_57_12 = e1) & ~
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e0) & ~ (all_57_19 = e1) & op(e2,
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_9) = all_57_8 & op(e2, all_57_11) =
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e2, all_57_13) = all_57_12 &
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_15) = all_57_14 & op(e2, e3) =
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_9 & op(e2, e2) = all_57_11 & op(e2, e1) =
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_13 & op(e2, e0) = all_57_15 & op(e1, e2)
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_19 & op(e1, e1) = e2 & $i(all_57_8) &
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9) & $i(all_57_10) & $i(all_57_11) &
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & $i(all_57_13) & $i(all_57_14) &
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & $i(all_57_19)) | (op(e0, e0) =
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_31 & $i(all_57_31) & ((all_57_21 = e0 &
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_23 = e1) & ~ (all_57_24 = e3) &
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_26 = e2) & ~ (all_57_28 = e1) &
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_30 = e0) & op(e1, e1) = e0 &
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_23 & op(e0, all_57_25) =
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_24 & op(e0, all_57_27) = all_57_26 &
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_29) = all_57_28 & op(e0,
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_31) = all_57_30 & op(e0, e3) =
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_27 & op(e0,
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_29 & $i(all_57_23) &
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_24) & $i(all_57_25) &
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_27) &
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28) & $i(all_57_29) &
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_31 = e3 & ~
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_0 = e3) & ~ (all_57_2 = e2) & ~
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1) & ~ (all_57_6 = e0) & ~
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_25 = e0) & op(e3, all_57_1) =
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_0 & op(e3, all_57_3) = all_57_2 &
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, all_57_5) = all_57_4 & op(e3,
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7) = all_57_6 & op(e3, e3) =
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e2) = all_57_3 & op(e3,
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_5 & op(e3, e0) = all_57_7 &
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_25 & $i(all_57_0) &
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_2) & $i(all_57_3) &
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4) & $i(all_57_5) & $i(all_57_6) &
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7) & $i(all_57_25)) | (all_57_31 =
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_8 = e3) & ~ (all_57_10 =
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_12 = e1) & ~ (all_57_14
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_27 = e0) & op(e2,
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_9) = all_57_8 & op(e2, all_57_11) =
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e2, all_57_13) = all_57_12 &
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_15) = all_57_14 & op(e2, e3) =
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_9 & op(e2, e2) = all_57_11 & op(e2,
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_13 & op(e2, e0) = all_57_15 &
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_27 & $i(all_57_8) &
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9) & $i(all_57_10) & $i(all_57_11)
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_12) & $i(all_57_13) &
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & $i(all_57_15) &
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27)) | (all_57_31 = e1 & ~
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_16 = e3) & ~ (all_57_18 = e2) & ~
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_22 = e0) & ~
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_29 = e0) & op(e1, all_57_17) =
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_16 & op(e1, all_57_19) = all_57_18 &
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_21) = all_57_20 & op(e1,
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23) = all_57_22 & op(e1, e3) =
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e1, e2) = all_57_19 & op(e1,
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_21 & op(e1, e0) = all_57_23 &
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = all_57_29 & $i(all_57_16) &
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_17) & $i(all_57_18) &
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_20) &
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_22) &
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23) & $i(all_57_29))))
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (8), (9), (6573), (6869), (6890), (6921),
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1376.
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | (6922) all_56_3 = e1 & op(e2, e2) = e1
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6922) implies:
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | (6923) op(e2, e2) = e1
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (6477), (6923), (function-axioms) are
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1684.
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | | (6924) (all_56_5 = e1 & op(e2, e1) = e1) | (all_56_10 =
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e2, e0) = e1)
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6924) gives:
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | (6925) all_56_5 = e1 & op(e2, e1) = e1
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (6873), (6925) are inconsistent by sub-proof
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | #1495.
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | (6926) all_56_10 = e1 & op(e2, e0) = e1
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6926) implies:
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | (6927) all_56_10 = e1
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (45), (206), (211),
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | (212), (376), (6588), (6869), (6927),
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | #1559.
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | (6928) all_56_5 = e1 & op(e2, e1) = e1
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6928) implies:
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | (6929) all_56_5 = e1
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (6873), (6929) are inconsistent by sub-proof
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | #1454.
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | (6930) (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_14 =
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e1) = e1)
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6930) gives:
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | (6931) all_56_8 = e1 & op(e1, e1) = e1
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6931) implies:
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | (6932) op(e1, e1) = e1
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (9), (157), (169), (220), (6571), (6598),
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | (6873), (6932), (function-axioms) are inconsistent
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1055.
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | (6933) all_56_14 = e1 & op(e0, e1) = e1
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6933) implies:
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | (6934) all_56_14 = e1
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (206) gives:
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | | (6935) all_56_15 = e0 & op(e0, e0) = e0
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6935) implies:
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | | (6936) op(e0, e0) = e0
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6869), (6936), (function-axioms) are
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1708.
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | | (6937) ((all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 =
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_56_11 = e0 &
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e0)) & ((all_56_12 = e0 & op(e0,
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e0) | (all_56_13 = e0 & op(e0, e2) =
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | | e0) | (all_56_14 = e0 & op(e0, e1) = e0))
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6937) implies:
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | | (6938) (all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 =
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_56_11 = e0 & op(e1,
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e0)
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (222) gives:
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | (6939) (all_56_2 = e1 & op(e2, e3) = e1) | (all_56_3 = e1
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1)
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6939) gives:
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6940) all_56_2 = e1 & op(e2, e3) = e1
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6940) implies:
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6941) all_56_2 = e1
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6942) op(e2, e3) = e1
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (217) gives:
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6943) (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_5 = e0
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e0)
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6943) gives:
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6944) all_56_4 = e0 & op(e3, e1) = e0
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6944) implies:
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6945) all_56_4 = e0
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (45), (128), (140),
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (143), (144), (162), (163), (168), (191), (192),
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (195), (196), (206), (211), (212), (221), (232),
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (248), (249), (258), (259), (376), (5128), (5129),
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5133), (5136), (5145), (5152), (5154), (6466),
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6467), (6472), (6473), (6477), (6493), (6495),
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6869), (6873), (6941), (6942), (6945),
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #900.
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6946) all_56_5 = e0 & op(e2, e1) = e0
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6873), (6946) are inconsistent by sub-proof
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #901.
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6947) (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_14 =
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0)
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6947) gives:
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6948) all_56_8 = e0 & op(e1, e1) = e0
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6948) implies:
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6949) op(e1, e1) = e0
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (6573), (6949), (function-axioms) are
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1918.
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6950) all_56_14 = e0 & op(e0, e1) = e0
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6934), (6950) are inconsistent by sub-proof
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1866.
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6951) all_56_3 = e1 & op(e2, e2) = e1
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6951) implies:
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6952) op(e2, e2) = e1
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (6477), (6952), (function-axioms) are
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1684.
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | (6953) (all_56_5 = e1 & op(e2, e1) = e1) | (all_56_10 =
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e2, e0) = e1)
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6953) gives:
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6954) all_56_5 = e1 & op(e2, e1) = e1
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6954) implies:
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6955) all_56_5 = e1
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (6873), (6955) are inconsistent by sub-proof
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1454.
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6956) all_56_10 = e1 & op(e2, e0) = e1
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6956) implies:
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6957) all_56_10 = e1
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (45), (206), (211),
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (212), (376), (6588), (6869), (6938), (6957),
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1560.
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | (6958) all_56_10 = e2 & op(e2, e0) = e2
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6958) implies:
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | (6959) all_56_10 = e2
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | (6960) op(e2, e0) = e2
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (206) gives:
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | (6961) all_56_15 = e0 & op(e0, e0) = e0
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6961) implies:
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | (6962) op(e0, e0) = e0
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6869), (6962), (function-axioms) are
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1708.
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | (6963) ((all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 =
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_56_11 = e0 &
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e0)) & ((all_56_12 = e0 & op(e0,
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | e3) = e0) | (all_56_13 = e0 & op(e0, e2) =
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | e0) | (all_56_14 = e0 & op(e0, e1) = e0))
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6963) implies:
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | (6964) (all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 =
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_56_11 = e0 & op(e1,
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | e0) = e0)
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6964) gives:
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | (6965) all_56_9 = e0 & op(e3, e0) = e0
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (6588), (6965) are inconsistent by sub-proof
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | #1672.
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | (6966) (all_56_10 = e0 & op(e2, e0) = e0) | (all_56_11 =
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e1, e0) = e0)
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6966) gives:
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | | (6967) all_56_10 = e0 & op(e2, e0) = e0
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6967) implies:
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | | (6968) op(e2, e0) = e0
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6960), (6968), (function-axioms) are
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1601.
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | | (6969) all_56_11 = e0 & op(e1, e0) = e0
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6969) implies:
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | | (6970) all_56_11 = e0
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (215) gives:
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | (6971) (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_7 = e2
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e2)
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6971) gives:
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6972) all_56_6 = e2 & op(e1, e3) = e2
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (163), (5132), (6972), (function-axioms) are
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1306.
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6973) all_56_7 = e2 & op(e1, e2) = e2
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6973) implies:
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6974) all_56_7 = e2
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6975) op(e1, e2) = e2
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (226) gives:
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6976) (all_56_1 = e1 & op(e3, e2) = e1) | (all_56_3 = e1
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1)
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6976) gives:
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6977) all_56_1 = e1 & op(e3, e2) = e1
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6977) implies:
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6978) all_56_1 = e1
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6979) op(e3, e2) = e1
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (230) gives:
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6980) (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_1 = e0
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e0)
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (5145), (6978), (6980),
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #897.
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6981) (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_9 = e0
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e0)
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6981) gives:
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6982) all_56_4 = e0 & op(e3, e1) = e0
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6982) implies:
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6983) all_56_4 = e0
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (225) gives:
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6984) (all_56_1 = e0 & op(e3, e2) = e0) | (all_56_3 = e0
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e0)
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (7), (6477), (6978), (6984),
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #906.
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6985) (all_56_7 = e0 & op(e1, e2) = e0) | (all_56_13 =
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0)
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6985) gives:
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6986) all_56_7 = e0 & op(e1, e2) = e0
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6974), (6986) are inconsistent by sub-proof
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1076.
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6987) all_56_13 = e0 & op(e0, e2) = e0
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6987) implies:
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6988) op(e0, e2) = e0
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (208) gives:
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6989) (all_56_12 = e2 & op(e0, e3) = e2) | (all_56_13 =
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e2)
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6989) gives:
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6990) all_56_12 = e2 & op(e0, e3) = e2
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (159), (5133), (6990), (function-axioms) are
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1847.
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6991) all_56_13 = e2 & op(e0, e2) = e2
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6991) implies:
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6992) op(e0, e2) = e2
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6988), (6992), (function-axioms) are
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1447.
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6993) (all_56_14 = e2 & op(e0, e1) = e2) | (all_56_15 =
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = e2)
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6993) gives:
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6994) all_56_14 = e2 & op(e0, e1) = e2
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6994) implies:
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6995) all_56_14 = e2
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (218) gives:
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6996) (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_5 = e1
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e1)
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6996) gives:
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6997) all_56_4 = e1 & op(e3, e1) = e1
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6997) implies:
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6998) all_56_4 = e1
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6983), (6998) are inconsistent by sub-proof
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1678.
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6999) all_56_5 = e1 & op(e2, e1) = e1
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6999) implies:
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7000) all_56_5 = e1
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7001) op(e2, e1) = e1
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (221) gives:
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7002) (all_56_2 = e0 & op(e2, e3) = e0) | (all_56_3 = e0
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e0)
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7002) gives:
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7003) all_56_2 = e0 & op(e2, e3) = e0
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7003) implies:
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7004) all_56_2 = e0
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (231) gives:
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7005) (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_2 = e1
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e1)
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7005) gives:
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7006) all_56_0 = e1 & op(e3, e3) = e1
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7006) implies:
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7007) op(e3, e3) = e1
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (5145), (7007), (function-axioms) are
% 197.49/31.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1966.
% 197.49/31.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.49/31.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7008) all_56_2 = e1 & op(e2, e3) = e1
% 197.49/31.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7008) implies:
% 197.49/31.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7009) op(e2, e3) = e1
% 197.49/31.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (128), (140), (143), (144), (162), (163), (191),
% 197.49/31.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (192), (195), (196), (248), (249), (258), (259),
% 197.49/31.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5128), (5129), (5133), (5152), (5154), (6466),
% 197.49/31.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6467), (6472), (6473), (6493), (6495), (6979),
% 197.49/31.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7009), (function-axioms) are inconsistent by
% 197.49/31.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #912.
% 197.49/31.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.49/31.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.49/31.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7010) (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_12 =
% 197.49/31.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e3) = e1)
% 197.49/31.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7010) gives:
% 197.49/31.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.49/31.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7011) all_56_6 = e1 & op(e1, e3) = e1
% 197.49/31.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7011) implies:
% 197.49/31.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7012) all_56_6 = e1
% 197.49/31.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (229) gives:
% 197.49/31.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.49/31.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7013) (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0
% 197.49/31.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e0)
% 197.49/31.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7013) gives:
% 197.49/31.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.49/31.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7014) all_56_0 = e0 & op(e3, e3) = e0
% 197.49/31.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7014) implies:
% 197.49/31.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7015) op(e3, e3) = e0
% 197.49/31.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (5145), (7015), (function-axioms) are
% 197.49/31.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1964.
% 197.49/31.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.49/31.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7003) implies:
% 197.49/31.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7016) op(e2, e3) = e0
% 197.49/31.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6982) implies:
% 197.49/31.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7017) op(e3, e1) = e0
% 197.49/31.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6969) implies:
% 197.49/31.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7018) op(e1, e0) = e0
% 197.49/31.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_40_1, e0,
% 197.49/31.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0, e1, simplifying with (6864), (7018) gives:
% 197.49/31.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7019) all_40_1 = e0
% 197.49/31.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_6, e2,
% 197.49/31.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2, e1, simplifying with (162), (6975) gives:
% 197.49/31.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7020) all_52_6 = e2
% 197.49/31.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_13,
% 197.49/31.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2, e0, e2, simplifying with (164), (6960) gives:
% 197.49/31.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7021) all_52_13 = e2
% 197.49/31.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_9, e1,
% 197.49/31.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1, e2, simplifying with (165), (7001) gives:
% 197.49/31.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7022) all_52_9 = e1
% 197.49/31.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_14_1, e0,
% 197.49/31.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3, e2, simplifying with (5128), (7016) gives:
% 197.49/31.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7023) all_14_1 = e0
% 197.49/31.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_32_1, e0,
% 197.49/31.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1, e3, simplifying with (6566), (7017) gives:
% 197.49/31.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7024) all_32_1 = e0
% 197.49/31.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_16_1, e1,
% 197.49/31.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2, e3, simplifying with (6466), (6979) gives:
% 197.49/31.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7025) all_16_1 = e1
% 197.49/31.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6475), (7021) imply:
% 197.49/31.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7026) ~ (e3 = e2)
% 197.49/31.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6600), (7024), (7025) imply:
% 197.49/31.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7027) ~ (e1 = e0)
% 197.49/31.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6476), (7023) imply:
% 197.49/31.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7028) ~ (e3 = e0)
% 197.49/31.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5160), (7023) imply:
% 197.49/31.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7029) ~ (e2 = e0)
% 197.49/31.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (238) gives:
% 197.49/31.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.49/31.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7030) (all_57_3 = e3 & ~ (all_57_1 = e2) & ~ (all_57_8
% 197.49/31.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_10 = e2) & ~ (all_57_12 =
% 197.49/31.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_14 = e0) & op(e3, e3) =
% 197.49/31.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e2) = e3 & op(e2, all_57_9) =
% 197.49/31.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_8 & op(e2, all_57_11) = all_57_10 &
% 197.49/31.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_13) = all_57_12 & op(e2,
% 197.49/31.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15) = all_57_14 & op(e2, e3) = all_57_9
% 197.49/31.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = all_57_11 & op(e2, e1) =
% 197.49/31.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_13 & op(e2, e0) = all_57_15 &
% 197.49/31.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_8) & $i(all_57_9) &
% 197.49/31.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & $i(all_57_11) & $i(all_57_12) &
% 197.49/31.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13) & $i(all_57_14) & $i(all_57_15)) |
% 197.49/31.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_5 = e3 & ~ (all_57_1 = e1) & ~
% 197.49/31.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_16 = e3) & ~ (all_57_18 = e2) & ~
% 197.49/31.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_22 = e0) & op(e3,
% 197.49/31.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_1 & op(e3, e1) = e3 & op(e1,
% 197.49/31.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17) = all_57_16 & op(e1, all_57_19) =
% 197.49/31.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_18 & op(e1, all_57_21) = all_57_20 &
% 197.49/31.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_23) = all_57_22 & op(e1, e3) =
% 197.49/31.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e1, e2) = all_57_19 & op(e1, e1)
% 197.49/31.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_21 & op(e1, e0) = all_57_23 &
% 197.49/31.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_16) & $i(all_57_17) &
% 197.49/31.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_19) & $i(all_57_20) &
% 197.49/31.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_22) & $i(all_57_23)) |
% 197.49/31.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_7 = e3 & ~ (all_57_1 = e0) & ~
% 197.49/31.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 197.49/31.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) & op(e3,
% 197.49/31.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_1 & op(e3, e0) = e3 & op(e0,
% 197.49/31.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25) = all_57_24 & op(e0, all_57_27) =
% 197.49/31.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e0, all_57_29) = all_57_28 &
% 197.49/31.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_31) = all_57_30 & op(e0, e3) =
% 197.49/31.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_27 & op(e0, e1)
% 197.49/31.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_29 & op(e0, e0) = all_57_31 &
% 197.49/31.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_24) & $i(all_57_25) &
% 197.49/31.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_27) & $i(all_57_28) &
% 197.49/31.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29) & $i(all_57_30) & $i(all_57_31)) |
% 197.49/31.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e2 & ~ (all_57_0 = e3) & ~ (all_57_2
% 197.49/31.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2) & ~ (all_57_4 = e1) & ~ (all_57_6 =
% 197.49/31.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_11 = e3) & op(e3, all_57_1) =
% 197.49/31.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_0 & op(e3, all_57_3) = all_57_2 & op(e3,
% 197.49/31.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_5) = all_57_4 & op(e3, all_57_7) =
% 197.49/31.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_6 & op(e3, e3) = all_57_1 & op(e3, e2) =
% 197.49/31.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 & op(e3, e1) = all_57_5 & op(e3, e0) =
% 197.49/31.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7 & op(e2, e3) = e2 & op(e2, e2) =
% 197.49/31.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_11 & $i(all_57_0) & $i(all_57_1) &
% 197.49/31.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_2) & $i(all_57_3) & $i(all_57_4) &
% 197.49/31.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 197.49/31.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11))
% 197.49/31.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7030) gives:
% 197.49/31.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.49/31.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7031) (all_57_3 = e3 & ~ (all_57_1 = e2) & ~ (all_57_8
% 197.49/31.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_10 = e2) & ~ (all_57_12 =
% 197.49/31.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_14 = e0) & op(e3, e3) =
% 197.49/31.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e2) = e3 & op(e2, all_57_9) =
% 197.49/31.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_8 & op(e2, all_57_11) = all_57_10 &
% 197.49/31.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_13) = all_57_12 & op(e2,
% 197.49/31.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15) = all_57_14 & op(e2, e3) = all_57_9
% 197.49/31.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = all_57_11 & op(e2, e1) =
% 197.49/31.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_13 & op(e2, e0) = all_57_15 &
% 197.49/31.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_8) & $i(all_57_9) &
% 197.49/31.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & $i(all_57_11) & $i(all_57_12) &
% 197.49/31.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13) & $i(all_57_14) & $i(all_57_15)) |
% 197.49/31.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_5 = e3 & ~ (all_57_1 = e1) & ~
% 197.49/31.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_16 = e3) & ~ (all_57_18 = e2) & ~
% 197.49/31.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_22 = e0) & op(e3,
% 197.49/31.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_1 & op(e3, e1) = e3 & op(e1,
% 197.49/31.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17) = all_57_16 & op(e1, all_57_19) =
% 197.49/31.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_18 & op(e1, all_57_21) = all_57_20 &
% 197.49/31.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_23) = all_57_22 & op(e1, e3) =
% 197.49/31.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e1, e2) = all_57_19 & op(e1, e1)
% 197.49/31.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_21 & op(e1, e0) = all_57_23 &
% 197.49/31.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_16) & $i(all_57_17) &
% 197.49/31.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_19) & $i(all_57_20) &
% 197.49/31.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_22) & $i(all_57_23))
% 197.49/31.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (170), (6471), (7018), (7031), (function-axioms)
% 197.49/31.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1428.
% 197.49/31.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.49/31.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7032) (all_57_7 = e3 & ~ (all_57_1 = e0) & ~
% 197.49/31.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 197.49/31.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) & op(e3,
% 197.49/31.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_1 & op(e3, e0) = e3 & op(e0,
% 197.49/31.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25) = all_57_24 & op(e0, all_57_27) =
% 197.49/31.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e0, all_57_29) = all_57_28 &
% 197.49/31.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_31) = all_57_30 & op(e0, e3) =
% 197.49/31.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_27 & op(e0, e1)
% 197.49/31.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_29 & op(e0, e0) = all_57_31 &
% 197.49/31.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_24) & $i(all_57_25) &
% 197.49/31.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_27) & $i(all_57_28) &
% 197.49/31.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29) & $i(all_57_30) & $i(all_57_31)) |
% 197.49/31.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e2 & ~ (all_57_0 = e3) & ~ (all_57_2
% 197.49/31.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2) & ~ (all_57_4 = e1) & ~ (all_57_6 =
% 197.49/31.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_11 = e3) & op(e3, all_57_1) =
% 197.49/31.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_0 & op(e3, all_57_3) = all_57_2 & op(e3,
% 197.49/31.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_5) = all_57_4 & op(e3, all_57_7) =
% 197.49/31.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_6 & op(e3, e3) = all_57_1 & op(e3, e2) =
% 197.49/31.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 & op(e3, e1) = all_57_5 & op(e3, e0) =
% 197.49/31.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7 & op(e2, e3) = e2 & op(e2, e2) =
% 197.49/31.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_11 & $i(all_57_0) & $i(all_57_1) &
% 197.49/31.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_2) & $i(all_57_3) & $i(all_57_4) &
% 197.49/31.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 197.49/31.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11))
% 197.49/31.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (167), (5131), (6585), (7032), (function-axioms)
% 197.49/31.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1628.
% 197.49/31.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.49/31.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.49/31.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7033) (all_57_13 = e2 & ~ (all_57_11 = e1) & ~
% 197.49/31.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_16 = e3) & ~ (all_57_18 = e2) & ~
% 197.49/31.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_22 = e0) & op(e2,
% 197.49/31.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_11 & op(e2, e1) = e2 & op(e1,
% 197.49/31.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17) = all_57_16 & op(e1, all_57_19) =
% 197.49/31.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_18 & op(e1, all_57_21) = all_57_20 &
% 197.49/31.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_23) = all_57_22 & op(e1, e3) =
% 197.49/31.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e1, e2) = all_57_19 & op(e1, e1)
% 197.49/31.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_21 & op(e1, e0) = all_57_23 &
% 197.49/31.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_16) & $i(all_57_17) &
% 197.49/31.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_19) & $i(all_57_20) &
% 197.49/31.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_22) & $i(all_57_23)) |
% 197.49/31.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e2 & ~ (all_57_11 = e0) & ~
% 197.49/31.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 197.49/31.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) & op(e2,
% 197.49/31.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_11 & op(e2, e0) = e2 & op(e0,
% 197.49/31.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25) = all_57_24 & op(e0, all_57_27) =
% 197.49/31.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e0, all_57_29) = all_57_28 &
% 197.49/31.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_31) = all_57_30 & op(e0, e3) =
% 197.49/31.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_27 & op(e0, e1)
% 197.49/31.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_29 & op(e0, e0) = all_57_31 &
% 197.49/31.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_24) & $i(all_57_25) &
% 197.49/31.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_27) & $i(all_57_28) &
% 197.49/31.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29) & $i(all_57_30) & $i(all_57_31)) |
% 197.49/31.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_17 = e1 & ~ (all_57_0 = e3) & ~
% 197.49/31.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e2) & ~ (all_57_4 = e1) & ~
% 197.49/31.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_6 = e0) & ~ (all_57_21 = e3) & op(e3,
% 197.49/31.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1) = all_57_0 & op(e3, all_57_3) =
% 197.49/31.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_2 & op(e3, all_57_5) = all_57_4 & op(e3,
% 197.49/31.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7) = all_57_6 & op(e3, e3) = all_57_1 &
% 197.49/31.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_3 & op(e3, e1) = all_57_5 &
% 197.49/31.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_7 & op(e1, e3) = e1 & op(e1,
% 197.49/31.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_21 & $i(all_57_0) & $i(all_57_1)
% 197.49/31.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_2) & $i(all_57_3) & $i(all_57_4) &
% 197.49/31.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 197.49/31.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21)) | (all_57_19 = e1 & ~ (all_57_8
% 197.49/31.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_10 = e2) & ~ (all_57_12 =
% 197.49/31.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_14 = e0) & ~ (all_57_21 =
% 197.49/31.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & op(e2, all_57_9) = all_57_8 & op(e2,
% 197.49/31.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_11) = all_57_10 & op(e2, all_57_13) =
% 197.49/31.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & op(e2, all_57_15) = all_57_14 &
% 197.49/31.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_9 & op(e2, e2) = all_57_11 &
% 197.49/31.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_57_13 & op(e2, e0) = all_57_15
% 197.49/31.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e1 & op(e1, e1) = all_57_21 &
% 197.49/31.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8) & $i(all_57_9) & $i(all_57_10) &
% 197.49/31.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_12) & $i(all_57_13) &
% 197.49/31.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & $i(all_57_15) & $i(all_57_21)) |
% 197.49/31.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (op(e0, e0) = all_57_31 & $i(all_57_31) &
% 197.49/31.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_23 = e1 & ~ (all_57_21 = e0) & ~
% 197.49/31.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 197.49/31.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) &
% 197.49/31.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_21 & op(e1, e0) = e1 &
% 197.49/31.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_25) = all_57_24 & op(e0,
% 197.49/31.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27) = all_57_26 & op(e0, all_57_29)
% 197.49/31.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_28 & op(e0, all_57_31) = all_57_30
% 197.49/31.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e3) = all_57_25 & op(e0, e2) =
% 197.49/31.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27 & op(e0, e1) = all_57_29 &
% 197.49/31.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_24) &
% 197.49/31.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_25) & $i(all_57_26) &
% 197.49/31.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27) & $i(all_57_28) &
% 197.49/31.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29) & $i(all_57_30)) | (all_57_25
% 197.49/31.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & ~ (all_57_0 = e3) & ~ (all_57_2 =
% 197.49/31.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_4 = e1) & ~ (all_57_6 =
% 197.49/31.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_31 = e3) & op(e3,
% 197.49/31.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1) = all_57_0 & op(e3, all_57_3) =
% 197.49/31.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_2 & op(e3, all_57_5) = all_57_4 &
% 197.49/31.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, all_57_7) = all_57_6 & op(e3, e3) =
% 197.49/31.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e2) = all_57_3 & op(e3,
% 197.49/31.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_5 & op(e3, e0) = all_57_7 &
% 197.49/31.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_0) &
% 197.49/31.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_2) & $i(all_57_3) &
% 197.49/31.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4) & $i(all_57_5) & $i(all_57_6) &
% 197.49/31.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7)) | (all_57_27 = e0 & ~
% 197.49/31.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e3) & ~ (all_57_10 = e2) & ~
% 197.49/31.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e1) & ~ (all_57_14 = e0) & ~
% 197.49/31.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e2) & op(e2, all_57_9) =
% 197.49/31.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_8 & op(e2, all_57_11) = all_57_10 &
% 197.49/31.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_13) = all_57_12 & op(e2,
% 197.49/31.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15) = all_57_14 & op(e2, e3) =
% 197.49/31.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_9 & op(e2, e2) = all_57_11 & op(e2,
% 197.49/31.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_13 & op(e2, e0) = all_57_15 &
% 197.49/31.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_8) &
% 197.49/31.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9) & $i(all_57_10) & $i(all_57_11)
% 197.49/31.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_12) & $i(all_57_13) &
% 197.49/31.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & $i(all_57_15)) | (all_57_29
% 197.49/31.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & ~ (all_57_16 = e3) & ~ (all_57_18 =
% 197.49/31.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_20 = e1) & ~ (all_57_22
% 197.49/31.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_31 = e1) & op(e1,
% 197.49/31.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17) = all_57_16 & op(e1, all_57_19)
% 197.49/31.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_18 & op(e1, all_57_21) = all_57_20
% 197.49/31.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, all_57_23) = all_57_22 & op(e1, e3)
% 197.49/31.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_17 & op(e1, e2) = all_57_19 &
% 197.49/31.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_21 & op(e1, e0) =
% 197.49/31.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23 & op(e0, e1) = e0 & $i(all_57_16)
% 197.49/31.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_17) & $i(all_57_18) &
% 197.49/31.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_20) &
% 197.49/31.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_22) &
% 197.49/31.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23))))
% 197.49/31.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7033) gives:
% 197.49/31.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.49/31.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7034) (all_57_13 = e2 & ~ (all_57_11 = e1) & ~
% 197.49/31.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_16 = e3) & ~ (all_57_18 = e2) & ~
% 197.49/31.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_22 = e0) & op(e2,
% 197.49/31.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_11 & op(e2, e1) = e2 & op(e1,
% 197.49/31.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17) = all_57_16 & op(e1, all_57_19) =
% 197.49/31.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_18 & op(e1, all_57_21) = all_57_20 &
% 197.49/31.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_23) = all_57_22 & op(e1, e3) =
% 197.49/31.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e1, e2) = all_57_19 & op(e1, e1)
% 197.49/31.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_21 & op(e1, e0) = all_57_23 &
% 197.49/31.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_16) & $i(all_57_17) &
% 197.49/31.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_19) & $i(all_57_20) &
% 197.49/31.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_22) & $i(all_57_23)) |
% 197.49/31.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e2 & ~ (all_57_11 = e0) & ~
% 197.49/31.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 197.49/31.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) & op(e2,
% 197.49/31.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_11 & op(e2, e0) = e2 & op(e0,
% 197.49/31.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25) = all_57_24 & op(e0, all_57_27) =
% 197.49/31.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e0, all_57_29) = all_57_28 &
% 197.49/31.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_31) = all_57_30 & op(e0, e3) =
% 197.49/31.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_27 & op(e0, e1)
% 197.49/31.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_29 & op(e0, e0) = all_57_31 &
% 197.49/31.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_24) & $i(all_57_25) &
% 197.49/31.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_27) & $i(all_57_28) &
% 197.49/31.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29) & $i(all_57_30) & $i(all_57_31))
% 197.49/31.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7034) gives:
% 197.49/31.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.49/31.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7035) all_57_13 = e2 & ~ (all_57_11 = e1) & ~
% 197.49/31.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_16 = e3) & ~ (all_57_18 = e2) & ~
% 197.49/31.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_22 = e0) & op(e2,
% 197.49/31.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_11 & op(e2, e1) = e2 & op(e1,
% 197.49/31.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17) = all_57_16 & op(e1, all_57_19) =
% 197.49/31.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_18 & op(e1, all_57_21) = all_57_20 & op(e1,
% 197.49/31.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23) = all_57_22 & op(e1, e3) = all_57_17
% 197.49/31.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = all_57_19 & op(e1, e1) = all_57_21
% 197.49/31.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e0) = all_57_23 & $i(all_57_11) &
% 197.49/31.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_16) & $i(all_57_17) & $i(all_57_18) &
% 197.49/31.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_20) & $i(all_57_21) &
% 197.49/31.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_23)
% 197.49/31.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7035) implies:
% 197.49/31.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7036) ~ (all_57_22 = e0)
% 197.49/31.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7037) op(e1, e0) = all_57_23
% 197.49/31.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7038) op(e1, all_57_23) = all_57_22
% 197.49/31.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7018), (7036), (7037), (7038), (function-axioms)
% 197.49/31.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1767.
% 197.49/31.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.49/31.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7039) all_57_15 = e2 & ~ (all_57_11 = e0) & ~
% 197.49/31.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 197.49/31.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) & op(e2,
% 197.49/31.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_11 & op(e2, e0) = e2 & op(e0,
% 197.49/31.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25) = all_57_24 & op(e0, all_57_27) =
% 197.49/31.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e0, all_57_29) = all_57_28 & op(e0,
% 197.49/31.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_31) = all_57_30 & op(e0, e3) = all_57_25
% 197.49/31.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e2) = all_57_27 & op(e0, e1) = all_57_29
% 197.49/31.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = all_57_31 & $i(all_57_11) &
% 197.49/31.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_24) & $i(all_57_25) & $i(all_57_26) &
% 197.49/31.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27) & $i(all_57_28) & $i(all_57_29) &
% 197.49/31.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30) & $i(all_57_31)
% 197.49/31.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7039) implies:
% 197.49/31.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7040) ~ (all_57_24 = e3)
% 197.49/31.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7041) op(e0, e3) = all_57_25
% 197.49/31.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7042) op(e0, all_57_25) = all_57_24
% 197.49/31.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6585), (7040), (7041), (7042), (function-axioms)
% 197.49/31.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1630.
% 197.49/31.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.49/31.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.49/31.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7043) (all_57_17 = e1 & ~ (all_57_0 = e3) & ~
% 197.49/31.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e2) & ~ (all_57_4 = e1) & ~
% 197.49/31.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_6 = e0) & ~ (all_57_21 = e3) & op(e3,
% 197.49/31.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1) = all_57_0 & op(e3, all_57_3) =
% 197.49/31.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_2 & op(e3, all_57_5) = all_57_4 & op(e3,
% 197.49/31.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7) = all_57_6 & op(e3, e3) = all_57_1 &
% 197.49/31.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_3 & op(e3, e1) = all_57_5 &
% 197.49/31.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_7 & op(e1, e3) = e1 & op(e1,
% 197.49/31.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_21 & $i(all_57_0) & $i(all_57_1)
% 197.49/31.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_2) & $i(all_57_3) & $i(all_57_4) &
% 197.49/31.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 197.49/31.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21)) | (all_57_19 = e1 & ~ (all_57_8
% 197.49/31.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_10 = e2) & ~ (all_57_12 =
% 197.49/31.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_14 = e0) & ~ (all_57_21 =
% 197.49/31.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & op(e2, all_57_9) = all_57_8 & op(e2,
% 197.49/31.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_11) = all_57_10 & op(e2, all_57_13) =
% 197.49/31.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & op(e2, all_57_15) = all_57_14 &
% 197.49/31.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_9 & op(e2, e2) = all_57_11 &
% 197.49/31.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_57_13 & op(e2, e0) = all_57_15
% 197.49/31.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e1 & op(e1, e1) = all_57_21 &
% 197.49/31.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8) & $i(all_57_9) & $i(all_57_10) &
% 197.49/31.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_12) & $i(all_57_13) &
% 197.49/31.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & $i(all_57_15) & $i(all_57_21)) |
% 197.49/31.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (op(e0, e0) = all_57_31 & $i(all_57_31) &
% 197.49/31.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_23 = e1 & ~ (all_57_21 = e0) & ~
% 197.49/31.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 197.49/31.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) &
% 197.49/31.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_21 & op(e1, e0) = e1 &
% 197.49/31.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_25) = all_57_24 & op(e0,
% 197.49/31.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27) = all_57_26 & op(e0, all_57_29)
% 197.49/31.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_28 & op(e0, all_57_31) = all_57_30
% 197.49/31.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e3) = all_57_25 & op(e0, e2) =
% 197.49/31.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27 & op(e0, e1) = all_57_29 &
% 197.49/31.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_24) &
% 197.49/31.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_25) & $i(all_57_26) &
% 197.49/31.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27) & $i(all_57_28) &
% 197.49/31.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29) & $i(all_57_30)) | (all_57_25
% 197.49/31.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & ~ (all_57_0 = e3) & ~ (all_57_2 =
% 197.49/31.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_4 = e1) & ~ (all_57_6 =
% 197.49/31.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_31 = e3) & op(e3,
% 197.49/31.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1) = all_57_0 & op(e3, all_57_3) =
% 197.49/31.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_2 & op(e3, all_57_5) = all_57_4 &
% 197.49/31.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, all_57_7) = all_57_6 & op(e3, e3) =
% 197.49/31.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e2) = all_57_3 & op(e3,
% 197.49/31.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_5 & op(e3, e0) = all_57_7 &
% 197.49/31.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_0) &
% 197.49/31.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_2) & $i(all_57_3) &
% 197.49/31.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4) & $i(all_57_5) & $i(all_57_6) &
% 197.49/31.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7)) | (all_57_27 = e0 & ~
% 197.49/31.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e3) & ~ (all_57_10 = e2) & ~
% 197.49/31.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e1) & ~ (all_57_14 = e0) & ~
% 197.49/31.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e2) & op(e2, all_57_9) =
% 197.49/31.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_8 & op(e2, all_57_11) = all_57_10 &
% 197.49/31.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_13) = all_57_12 & op(e2,
% 197.49/31.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15) = all_57_14 & op(e2, e3) =
% 197.49/31.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_9 & op(e2, e2) = all_57_11 & op(e2,
% 197.49/31.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_13 & op(e2, e0) = all_57_15 &
% 197.49/31.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_8) &
% 197.49/31.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9) & $i(all_57_10) & $i(all_57_11)
% 197.49/31.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_12) & $i(all_57_13) &
% 197.49/31.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & $i(all_57_15)) | (all_57_29
% 197.49/31.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & ~ (all_57_16 = e3) & ~ (all_57_18 =
% 197.49/31.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_20 = e1) & ~ (all_57_22
% 197.49/31.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_31 = e1) & op(e1,
% 197.49/31.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17) = all_57_16 & op(e1, all_57_19)
% 197.49/31.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_18 & op(e1, all_57_21) = all_57_20
% 197.49/31.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, all_57_23) = all_57_22 & op(e1, e3)
% 197.49/31.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_17 & op(e1, e2) = all_57_19 &
% 197.49/31.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_21 & op(e1, e0) =
% 197.49/31.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23 & op(e0, e1) = e0 & $i(all_57_16)
% 197.49/31.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_17) & $i(all_57_18) &
% 197.49/31.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_20) &
% 197.49/31.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_22) &
% 197.49/31.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23))))
% 197.49/31.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7043) gives:
% 197.49/31.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.49/31.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7044) all_57_17 = e1 & ~ (all_57_0 = e3) & ~ (all_57_2
% 197.49/31.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2) & ~ (all_57_4 = e1) & ~ (all_57_6 = e0)
% 197.49/31.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_21 = e3) & op(e3, all_57_1) =
% 197.49/31.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_0 & op(e3, all_57_3) = all_57_2 & op(e3,
% 197.49/31.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_5) = all_57_4 & op(e3, all_57_7) =
% 197.49/31.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_6 & op(e3, e3) = all_57_1 & op(e3, e2) =
% 197.49/31.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 & op(e3, e1) = all_57_5 & op(e3, e0) =
% 197.49/31.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7 & op(e1, e3) = e1 & op(e1, e1) =
% 197.49/31.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_21 & $i(all_57_0) & $i(all_57_1) &
% 197.49/31.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_2) & $i(all_57_3) & $i(all_57_4) &
% 197.49/31.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 197.49/31.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21)
% 197.49/31.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6573), (7044), (function-axioms) are inconsistent
% 197.49/31.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1926.
% 197.49/31.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.49/31.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7045) (all_57_19 = e1 & ~ (all_57_8 = e3) & ~
% 197.49/31.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e2) & ~ (all_57_12 = e1) & ~
% 197.49/31.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e0) & ~ (all_57_21 = e2) & op(e2,
% 197.49/31.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_9) = all_57_8 & op(e2, all_57_11) =
% 197.49/31.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e2, all_57_13) = all_57_12 &
% 197.49/31.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_15) = all_57_14 & op(e2, e3) =
% 197.49/31.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_9 & op(e2, e2) = all_57_11 & op(e2, e1) =
% 197.49/31.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_13 & op(e2, e0) = all_57_15 & op(e1, e2)
% 197.49/31.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & op(e1, e1) = all_57_21 & $i(all_57_8) &
% 197.49/31.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9) & $i(all_57_10) & $i(all_57_11) &
% 197.49/31.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & $i(all_57_13) & $i(all_57_14) &
% 197.49/31.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & $i(all_57_21)) | (op(e0, e0) =
% 197.49/31.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_31 & $i(all_57_31) & ((all_57_23 = e1 &
% 197.49/31.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_21 = e0) & ~ (all_57_24 = e3) &
% 197.49/31.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_26 = e2) & ~ (all_57_28 = e1) &
% 197.49/31.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_30 = e0) & op(e1, e1) = all_57_21
% 197.49/31.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e0) = e1 & op(e0, all_57_25) =
% 197.49/31.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_24 & op(e0, all_57_27) = all_57_26 &
% 197.49/31.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_29) = all_57_28 & op(e0,
% 197.49/31.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_31) = all_57_30 & op(e0, e3) =
% 197.49/31.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_27 & op(e0,
% 197.49/31.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_29 & $i(all_57_21) &
% 197.49/31.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_24) & $i(all_57_25) &
% 197.49/31.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_27) &
% 197.49/31.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28) & $i(all_57_29) &
% 197.49/31.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_25 = e0 & ~
% 197.49/31.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_0 = e3) & ~ (all_57_2 = e2) & ~
% 197.49/31.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1) & ~ (all_57_6 = e0) & ~
% 197.49/31.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e3) & op(e3, all_57_1) =
% 197.49/31.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_0 & op(e3, all_57_3) = all_57_2 &
% 197.49/31.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, all_57_5) = all_57_4 & op(e3,
% 197.49/31.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7) = all_57_6 & op(e3, e3) =
% 197.49/31.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e2) = all_57_3 & op(e3,
% 197.49/31.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_5 & op(e3, e0) = all_57_7 &
% 197.49/31.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_0) &
% 197.49/31.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_2) & $i(all_57_3) &
% 197.49/31.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4) & $i(all_57_5) & $i(all_57_6) &
% 197.49/31.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7)) | (all_57_27 = e0 & ~
% 197.49/31.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e3) & ~ (all_57_10 = e2) & ~
% 197.49/31.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e1) & ~ (all_57_14 = e0) & ~
% 197.49/31.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e2) & op(e2, all_57_9) =
% 197.49/31.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_8 & op(e2, all_57_11) = all_57_10 &
% 197.49/31.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_13) = all_57_12 & op(e2,
% 197.49/31.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15) = all_57_14 & op(e2, e3) =
% 197.49/31.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_9 & op(e2, e2) = all_57_11 & op(e2,
% 197.49/31.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_13 & op(e2, e0) = all_57_15 &
% 197.49/31.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_8) &
% 197.49/31.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9) & $i(all_57_10) & $i(all_57_11)
% 197.49/31.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_12) & $i(all_57_13) &
% 197.49/31.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & $i(all_57_15)) | (all_57_29
% 197.49/31.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & ~ (all_57_16 = e3) & ~ (all_57_18 =
% 197.49/31.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_20 = e1) & ~ (all_57_22
% 197.49/31.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_31 = e1) & op(e1,
% 197.49/31.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17) = all_57_16 & op(e1, all_57_19)
% 197.49/31.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_18 & op(e1, all_57_21) = all_57_20
% 197.49/31.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, all_57_23) = all_57_22 & op(e1, e3)
% 197.49/31.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_17 & op(e1, e2) = all_57_19 &
% 197.49/31.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_21 & op(e1, e0) =
% 197.49/31.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23 & op(e0, e1) = e0 & $i(all_57_16)
% 197.49/31.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_17) & $i(all_57_18) &
% 197.49/31.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_20) &
% 197.49/31.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_22) &
% 197.49/31.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23))))
% 197.49/31.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7045) gives:
% 197.49/31.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.49/31.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7046) all_57_19 = e1 & ~ (all_57_8 = e3) & ~
% 197.49/31.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e2) & ~ (all_57_12 = e1) & ~
% 197.49/31.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e0) & ~ (all_57_21 = e2) & op(e2,
% 197.49/31.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_9) = all_57_8 & op(e2, all_57_11) =
% 197.49/31.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e2, all_57_13) = all_57_12 & op(e2,
% 197.49/31.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15) = all_57_14 & op(e2, e3) = all_57_9 &
% 197.49/31.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_11 & op(e2, e1) = all_57_13 &
% 197.49/31.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_15 & op(e1, e2) = e1 & op(e1,
% 197.49/31.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_21 & $i(all_57_8) & $i(all_57_9) &
% 197.49/31.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & $i(all_57_11) & $i(all_57_12) &
% 197.49/31.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13) & $i(all_57_14) & $i(all_57_15) &
% 197.49/31.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21)
% 197.49/31.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7046) implies:
% 197.49/31.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7047) op(e1, e2) = e1
% 197.49/31.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6467) gives:
% 197.49/31.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.49/31.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7048) ~ (all_16_1 = e1)
% 197.49/31.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7025), (7048) imply:
% 197.49/31.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7049) $false
% 197.49/31.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (7049) is inconsistent.
% 197.49/31.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.49/31.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e2, e1, e2,
% 197.49/31.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1, simplifying with (6975), (7047) gives:
% 197.49/31.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7050) e2 = e1
% 197.49/31.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (6959), (7050) imply:
% 197.49/31.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7051) all_56_10 = e1
% 197.49/31.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (45), (206), (211),
% 197.49/31.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (212), (376), (6588), (6869), (6964), (7051),
% 197.49/31.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 197.49/31.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1560.
% 197.49/31.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.49/31.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.49/31.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7052) op(e0, e0) = all_57_31 & $i(all_57_31) &
% 197.49/31.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_23 = e1 & ~ (all_57_21 = e0) & ~
% 197.49/31.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 197.49/31.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) &
% 197.49/31.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_21 & op(e1, e0) = e1 &
% 197.49/31.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_25) = all_57_24 & op(e0,
% 197.49/31.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27) = all_57_26 & op(e0, all_57_29) =
% 197.49/31.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_28 & op(e0, all_57_31) = all_57_30 &
% 197.49/31.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_25 & op(e0, e2) =
% 197.49/31.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27 & op(e0, e1) = all_57_29 &
% 197.49/31.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_24) & $i(all_57_25)
% 197.49/31.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_26) & $i(all_57_27) &
% 197.49/31.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28) & $i(all_57_29) & $i(all_57_30))
% 197.49/31.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_25 = e0 & ~ (all_57_0 = e3) & ~
% 197.49/31.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e2) & ~ (all_57_4 = e1) & ~
% 197.49/31.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_6 = e0) & ~ (all_57_31 = e3) & op(e3,
% 197.49/31.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1) = all_57_0 & op(e3, all_57_3) =
% 197.49/31.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_2 & op(e3, all_57_5) = all_57_4 &
% 197.49/31.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, all_57_7) = all_57_6 & op(e3, e3) =
% 197.49/31.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e2) = all_57_3 & op(e3, e1)
% 197.49/31.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_5 & op(e3, e0) = all_57_7 & op(e0,
% 197.49/31.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e0 & $i(all_57_0) & $i(all_57_1) &
% 197.49/31.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_2) & $i(all_57_3) & $i(all_57_4) &
% 197.49/31.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_6) & $i(all_57_7)) |
% 197.49/31.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_27 = e0 & ~ (all_57_8 = e3) & ~
% 197.49/31.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e2) & ~ (all_57_12 = e1) & ~
% 197.49/31.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e0) & ~ (all_57_31 = e2) &
% 197.49/31.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_9) = all_57_8 & op(e2,
% 197.49/31.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_11) = all_57_10 & op(e2, all_57_13) =
% 197.49/31.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & op(e2, all_57_15) = all_57_14 &
% 197.49/31.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_9 & op(e2, e2) = all_57_11
% 197.49/31.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = all_57_13 & op(e2, e0) =
% 197.49/31.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15 & op(e0, e2) = e0 & $i(all_57_8) &
% 197.49/31.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9) & $i(all_57_10) & $i(all_57_11) &
% 197.49/31.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & $i(all_57_13) & $i(all_57_14)
% 197.49/31.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_15)) | (all_57_29 = e0 & ~
% 197.49/31.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_16 = e3) & ~ (all_57_18 = e2) & ~
% 197.49/31.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_22 = e0) & ~
% 197.49/31.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e1) & op(e1, all_57_17) =
% 197.49/31.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_16 & op(e1, all_57_19) = all_57_18 &
% 197.49/31.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_21) = all_57_20 & op(e1,
% 197.49/31.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23) = all_57_22 & op(e1, e3) =
% 197.49/31.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e1, e2) = all_57_19 & op(e1,
% 197.49/31.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_21 & op(e1, e0) = all_57_23 &
% 197.49/31.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_16) &
% 197.49/31.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_17) & $i(all_57_18) & $i(all_57_19)
% 197.49/31.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_20) & $i(all_57_21) &
% 197.49/31.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_23)))
% 197.49/31.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7052) implies:
% 197.49/31.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7053) (all_57_23 = e1 & ~ (all_57_21 = e0) & ~
% 197.49/31.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 197.49/31.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) & op(e1,
% 197.49/31.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_21 & op(e1, e0) = e1 & op(e0,
% 197.49/31.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25) = all_57_24 & op(e0, all_57_27) =
% 197.49/31.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e0, all_57_29) = all_57_28 &
% 197.49/31.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_31) = all_57_30 & op(e0, e3) =
% 197.49/31.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_27 & op(e0, e1)
% 197.49/31.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_29 & $i(all_57_21) & $i(all_57_24) &
% 197.49/31.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_25) & $i(all_57_26) & $i(all_57_27) &
% 197.49/31.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28) & $i(all_57_29) & $i(all_57_30)) |
% 197.49/31.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_25 = e0 & ~ (all_57_0 = e3) & ~
% 197.49/31.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e2) & ~ (all_57_4 = e1) & ~
% 197.49/31.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_6 = e0) & ~ (all_57_31 = e3) & op(e3,
% 197.49/31.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1) = all_57_0 & op(e3, all_57_3) =
% 197.49/31.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_2 & op(e3, all_57_5) = all_57_4 & op(e3,
% 197.49/31.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7) = all_57_6 & op(e3, e3) = all_57_1 &
% 197.49/31.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_3 & op(e3, e1) = all_57_5 &
% 197.49/31.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_7 & op(e0, e3) = e0 &
% 197.49/31.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_0) & $i(all_57_1) & $i(all_57_2) &
% 197.49/31.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_3) & $i(all_57_4) & $i(all_57_5) &
% 197.49/31.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_6) & $i(all_57_7)) | (all_57_27 = e0 &
% 197.49/31.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_8 = e3) & ~ (all_57_10 = e2) & ~
% 197.49/31.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e1) & ~ (all_57_14 = e0) & ~
% 197.49/31.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e2) & op(e2, all_57_9) = all_57_8 &
% 197.49/31.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_11) = all_57_10 & op(e2,
% 197.49/31.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_13) = all_57_12 & op(e2, all_57_15) =
% 197.49/31.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_14 & op(e2, e3) = all_57_9 & op(e2, e2) =
% 197.49/31.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_11 & op(e2, e1) = all_57_13 & op(e2, e0)
% 197.49/31.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_15 & op(e0, e2) = e0 & $i(all_57_8) &
% 197.49/31.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9) & $i(all_57_10) & $i(all_57_11) &
% 197.49/31.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & $i(all_57_13) & $i(all_57_14) &
% 197.49/31.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15)) | (all_57_29 = e0 & ~ (all_57_16
% 197.49/31.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_18 = e2) & ~ (all_57_20 =
% 197.49/31.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_22 = e0) & ~ (all_57_31 =
% 197.49/31.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & op(e1, all_57_17) = all_57_16 & op(e1,
% 197.49/31.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_19) = all_57_18 & op(e1, all_57_21) =
% 197.49/31.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20 & op(e1, all_57_23) = all_57_22 &
% 197.49/31.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_17 & op(e1, e2) = all_57_19
% 197.49/31.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = all_57_21 & op(e1, e0) =
% 197.49/31.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23 & op(e0, e1) = e0 & $i(all_57_16) &
% 197.49/31.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_17) & $i(all_57_18) & $i(all_57_19) &
% 197.49/31.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_20) & $i(all_57_21) & $i(all_57_22) &
% 197.49/31.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23))
% 197.49/31.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6567) gives:
% 197.49/31.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.49/31.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7054) ~ (all_32_1 = e0)
% 197.49/31.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7024), (7054) imply:
% 197.49/31.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7055) $false
% 197.49/31.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (7055) is inconsistent.
% 197.49/31.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.49/31.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7056) ~ (all_32_0 = e2) & op(e0, e3) = all_32_0 &
% 197.49/31.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_32_0)
% 197.49/31.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7056) implies:
% 197.49/31.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7057) op(e0, e3) = all_32_0
% 197.49/31.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7053) gives:
% 197.49/31.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.49/31.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7058) (all_57_23 = e1 & ~ (all_57_21 = e0) & ~
% 197.49/31.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 197.49/31.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) & op(e1,
% 197.49/31.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_21 & op(e1, e0) = e1 & op(e0,
% 197.49/31.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25) = all_57_24 & op(e0, all_57_27) =
% 197.49/31.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e0, all_57_29) = all_57_28 &
% 197.49/31.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_31) = all_57_30 & op(e0, e3) =
% 197.49/31.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_27 & op(e0, e1)
% 197.49/31.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_29 & $i(all_57_21) & $i(all_57_24) &
% 197.49/31.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_25) & $i(all_57_26) & $i(all_57_27) &
% 197.49/31.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28) & $i(all_57_29) & $i(all_57_30)) |
% 197.49/31.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_25 = e0 & ~ (all_57_0 = e3) & ~
% 197.49/31.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e2) & ~ (all_57_4 = e1) & ~
% 197.49/31.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_6 = e0) & ~ (all_57_31 = e3) & op(e3,
% 197.49/31.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1) = all_57_0 & op(e3, all_57_3) =
% 197.49/31.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_2 & op(e3, all_57_5) = all_57_4 & op(e3,
% 197.49/31.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7) = all_57_6 & op(e3, e3) = all_57_1 &
% 197.49/31.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_3 & op(e3, e1) = all_57_5 &
% 197.49/31.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_7 & op(e0, e3) = e0 &
% 197.49/31.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_0) & $i(all_57_1) & $i(all_57_2) &
% 197.49/31.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_3) & $i(all_57_4) & $i(all_57_5) &
% 197.49/31.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_6) & $i(all_57_7))
% 197.49/31.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7058) gives:
% 197.49/31.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.49/31.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7059) all_57_23 = e1 & ~ (all_57_21 = e0) & ~
% 197.49/31.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 197.49/31.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) & op(e1,
% 197.49/31.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_21 & op(e1, e0) = e1 & op(e0,
% 197.49/31.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25) = all_57_24 & op(e0, all_57_27) =
% 197.49/31.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e0, all_57_29) = all_57_28 & op(e0,
% 197.49/31.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_31) = all_57_30 & op(e0, e3) = all_57_25
% 197.49/31.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e2) = all_57_27 & op(e0, e1) = all_57_29
% 197.49/31.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_21) & $i(all_57_24) & $i(all_57_25) &
% 197.49/31.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_27) & $i(all_57_28) &
% 197.49/31.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29) & $i(all_57_30)
% 197.49/31.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7059) implies:
% 197.49/31.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7060) op(e1, e0) = e1
% 197.49/31.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (7018), (7060), (function-axioms) are
% 197.49/31.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1577.
% 197.49/31.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.49/31.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7061) all_57_25 = e0 & ~ (all_57_0 = e3) & ~ (all_57_2
% 197.49/31.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2) & ~ (all_57_4 = e1) & ~ (all_57_6 = e0)
% 197.49/31.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_31 = e3) & op(e3, all_57_1) =
% 197.49/31.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_0 & op(e3, all_57_3) = all_57_2 & op(e3,
% 197.49/31.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_5) = all_57_4 & op(e3, all_57_7) =
% 197.49/31.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_6 & op(e3, e3) = all_57_1 & op(e3, e2) =
% 197.49/31.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 & op(e3, e1) = all_57_5 & op(e3, e0) =
% 197.49/31.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7 & op(e0, e3) = e0 & $i(all_57_0) &
% 197.49/31.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_2) & $i(all_57_3) &
% 197.49/31.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4) & $i(all_57_5) & $i(all_57_6) &
% 197.49/31.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7)
% 197.49/31.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7061) implies:
% 197.49/31.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7062) op(e0, e3) = e0
% 197.49/31.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e3, all_32_0,
% 197.49/31.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3, e0, simplifying with (6585), (7057) gives:
% 197.49/31.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7063) all_32_0 = e3
% 197.49/31.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e0, all_32_0,
% 197.49/31.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3, e0, simplifying with (7057), (7062) gives:
% 197.49/31.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7064) all_32_0 = e0
% 197.49/31.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (7063), (7064) imply:
% 197.49/31.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7065) e3 = e0
% 197.49/31.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (6482), (7065) imply:
% 197.49/31.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7066) all_56_3 = e0
% 197.49/31.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (7), (8), (9), (222), (224), (6959),
% 197.49/31.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7004), (7066) are inconsistent by sub-proof
% 197.49/31.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1490.
% 197.49/31.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.49/31.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.49/31.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7067) (all_57_27 = e0 & ~ (all_57_8 = e3) & ~
% 197.49/31.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e2) & ~ (all_57_12 = e1) & ~
% 197.49/31.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e0) & ~ (all_57_31 = e2) & op(e2,
% 197.49/31.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_9) = all_57_8 & op(e2, all_57_11) =
% 197.49/31.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e2, all_57_13) = all_57_12 &
% 197.49/31.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_15) = all_57_14 & op(e2, e3) =
% 197.49/31.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_9 & op(e2, e2) = all_57_11 & op(e2, e1) =
% 197.49/31.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_13 & op(e2, e0) = all_57_15 & op(e0, e2)
% 197.49/31.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & $i(all_57_8) & $i(all_57_9) &
% 197.49/31.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & $i(all_57_11) & $i(all_57_12) &
% 197.49/31.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13) & $i(all_57_14) & $i(all_57_15)) |
% 197.49/31.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_29 = e0 & ~ (all_57_16 = e3) & ~
% 197.49/31.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_18 = e2) & ~ (all_57_20 = e1) & ~
% 197.49/31.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_22 = e0) & ~ (all_57_31 = e1) & op(e1,
% 197.49/31.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17) = all_57_16 & op(e1, all_57_19) =
% 197.49/31.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_18 & op(e1, all_57_21) = all_57_20 &
% 197.49/31.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_23) = all_57_22 & op(e1, e3) =
% 197.49/31.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e1, e2) = all_57_19 & op(e1, e1)
% 197.49/31.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_21 & op(e1, e0) = all_57_23 & op(e0,
% 197.49/31.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0 & $i(all_57_16) & $i(all_57_17) &
% 197.49/31.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_19) & $i(all_57_20) &
% 197.49/31.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_22) & $i(all_57_23))
% 197.49/31.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7067) gives:
% 197.49/31.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.49/31.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7068) all_57_27 = e0 & ~ (all_57_8 = e3) & ~
% 197.49/31.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e2) & ~ (all_57_12 = e1) & ~
% 197.49/31.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e0) & ~ (all_57_31 = e2) & op(e2,
% 197.49/31.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_9) = all_57_8 & op(e2, all_57_11) =
% 197.49/31.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e2, all_57_13) = all_57_12 & op(e2,
% 197.49/31.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15) = all_57_14 & op(e2, e3) = all_57_9 &
% 197.49/31.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_11 & op(e2, e1) = all_57_13 &
% 197.49/31.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_15 & op(e0, e2) = e0 &
% 197.49/31.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8) & $i(all_57_9) & $i(all_57_10) &
% 197.49/31.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_12) & $i(all_57_13) &
% 197.49/31.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & $i(all_57_15)
% 197.49/31.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7068) implies:
% 197.49/31.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7069) ~ (all_57_12 = e1)
% 197.49/31.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7070) op(e2, e1) = all_57_13
% 197.49/31.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7071) op(e2, all_57_13) = all_57_12
% 197.49/31.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7001), (7069), (7070), (7071), (function-axioms)
% 197.49/31.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1523.
% 197.49/31.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.49/31.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7072) all_57_29 = e0 & ~ (all_57_16 = e3) & ~
% 197.49/31.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_18 = e2) & ~ (all_57_20 = e1) & ~
% 197.49/31.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_22 = e0) & ~ (all_57_31 = e1) & op(e1,
% 197.49/31.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17) = all_57_16 & op(e1, all_57_19) =
% 197.49/31.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_18 & op(e1, all_57_21) = all_57_20 & op(e1,
% 197.49/31.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23) = all_57_22 & op(e1, e3) = all_57_17
% 197.49/31.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = all_57_19 & op(e1, e1) = all_57_21
% 197.49/31.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e0) = all_57_23 & op(e0, e1) = e0 &
% 197.49/31.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_16) & $i(all_57_17) & $i(all_57_18) &
% 197.49/31.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_20) & $i(all_57_21) &
% 197.49/31.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_23)
% 197.49/31.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7072) implies:
% 197.49/31.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7073) ~ (all_57_22 = e0)
% 197.49/31.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7074) op(e1, e0) = all_57_23
% 197.49/31.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7075) op(e1, all_57_23) = all_57_22
% 197.49/31.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7018), (7073), (7074), (7075), (function-axioms)
% 197.49/31.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1767.
% 197.49/31.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.49/31.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.49/31.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.49/31.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.49/31.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.49/31.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.49/31.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.49/31.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.49/31.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.49/31.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7076) (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 =
% 197.49/31.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e3) = e0)
% 197.49/31.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7076) gives:
% 197.49/31.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.49/31.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7077) all_56_6 = e0 & op(e1, e3) = e0
% 197.49/31.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (7012), (7077) are inconsistent by sub-proof
% 197.49/31.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #896.
% 197.49/31.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.49/31.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7078) all_56_12 = e0 & op(e0, e3) = e0
% 197.49/31.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7078) implies:
% 197.49/31.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7079) all_56_12 = e0
% 197.49/31.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (6584), (7079) imply:
% 197.49/31.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7080) e3 = e0
% 197.49/31.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (6482), (7080) imply:
% 197.49/31.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7081) all_56_3 = e0
% 197.49/31.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (7), (8), (9), (222), (224), (6959),
% 197.49/31.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7004), (7081) are inconsistent by sub-proof
% 197.49/31.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1490.
% 197.49/31.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.49/31.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.49/31.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.49/31.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7082) all_56_12 = e1 & op(e0, e3) = e1
% 197.49/31.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7082) implies:
% 197.49/31.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7083) all_56_12 = e1
% 197.49/31.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (45), (209), (225),
% 197.49/31.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (226), (227), (376), (6477), (6995), (7083),
% 197.49/31.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 197.49/31.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #970.
% 197.49/31.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.49/31.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.49/31.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.49/31.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7084) all_56_3 = e0 & op(e2, e2) = e0
% 197.49/31.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7084) implies:
% 197.49/31.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7085) op(e2, e2) = e0
% 197.49/31.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (6477), (7085), (function-axioms) are
% 197.49/31.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1661.
% 197.49/31.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.49/31.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.49/31.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7086) (all_56_5 = e0 & op(e2, e1) = e0) | (all_56_10 =
% 197.49/31.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0)
% 197.49/31.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7086) gives:
% 197.49/31.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.49/31.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7087) all_56_5 = e0 & op(e2, e1) = e0
% 197.49/31.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (7000), (7087) are inconsistent by sub-proof
% 197.49/31.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1822.
% 197.49/31.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.49/31.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7088) all_56_10 = e0 & op(e2, e0) = e0
% 197.49/31.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7088) implies:
% 197.49/31.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7089) op(e2, e0) = e0
% 197.49/31.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6960), (7089), (function-axioms) are
% 197.49/31.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1601.
% 197.49/31.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.49/31.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.49/31.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.49/31.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.49/31.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7090) (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_14 =
% 197.49/31.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e1) = e1)
% 197.49/31.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7090) gives:
% 197.49/31.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.49/31.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7091) all_56_8 = e1 & op(e1, e1) = e1
% 197.49/31.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7091) implies:
% 197.49/31.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7092) op(e1, e1) = e1
% 197.49/31.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (6573), (7092), (function-axioms) are
% 197.49/31.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1958.
% 197.49/31.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.49/31.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7093) all_56_14 = e1 & op(e0, e1) = e1
% 197.49/31.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7093) implies:
% 197.49/31.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7094) all_56_14 = e1
% 197.49/31.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (6995), (7094) imply:
% 197.49/31.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7095) e2 = e1
% 197.49/31.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (6959), (7095) imply:
% 197.49/31.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7096) all_56_10 = e1
% 197.49/31.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (45), (206), (211),
% 197.49/31.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (212), (376), (6588), (6869), (6964), (7096),
% 197.49/31.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 197.49/31.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1560.
% 197.49/31.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.49/31.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.49/31.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.49/31.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7097) all_56_15 = e2 & op(e0, e0) = e2
% 197.49/31.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7097) implies:
% 197.49/31.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7098) op(e0, e0) = e2
% 197.49/31.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (6869), (7098), (function-axioms) are
% 197.49/31.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1843.
% 197.49/31.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.49/31.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.49/31.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.49/31.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.49/31.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.49/31.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7099) all_56_9 = e0 & op(e3, e0) = e0
% 197.49/31.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (6588), (7099) are inconsistent by sub-proof
% 197.49/31.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1672.
% 197.49/31.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.49/31.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.49/31.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.49/31.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7100) all_56_3 = e1 & op(e2, e2) = e1
% 197.49/31.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7100) implies:
% 197.49/31.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7101) op(e2, e2) = e1
% 197.49/31.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (6477), (7101), (function-axioms) are
% 197.49/31.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1684.
% 197.49/31.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.49/31.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.49/31.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7102) (all_56_7 = e1 & op(e1, e2) = e1) | (all_56_13 =
% 197.49/31.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e2) = e1)
% 197.49/31.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7102) gives:
% 197.49/31.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.49/31.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7103) all_56_7 = e1 & op(e1, e2) = e1
% 197.49/31.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7103) implies:
% 197.49/31.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7104) all_56_7 = e1
% 197.49/31.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (6974), (7104) imply:
% 197.49/31.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7105) e2 = e1
% 197.49/31.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (45), (206), (211),
% 197.49/31.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (212), (376), (6588), (6869), (6959), (6964),
% 197.49/31.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7105), (function-axioms) are inconsistent by
% 197.49/31.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1264.
% 197.49/31.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.49/31.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7106) all_56_13 = e1 & op(e0, e2) = e1
% 197.49/31.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7106) implies:
% 197.49/31.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7107) all_56_13 = e1
% 197.49/31.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7108) op(e0, e2) = e1
% 197.49/31.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (159), (206), (208),
% 197.49/31.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (209), (225), (226), (227), (5133), (6477),
% 197.49/31.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6869), (7107), (7108), (function-axioms) are
% 197.49/31.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1056.
% 197.49/31.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.49/31.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.49/31.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.49/31.44 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.44 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.49/31.44 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | (7109) (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_11 =
% 197.49/31.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e1, e0) = e2)
% 197.49/31.44 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7109) gives:
% 197.49/31.44 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.49/31.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7110) all_56_8 = e2 & op(e1, e1) = e2
% 197.49/31.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7110) implies:
% 197.49/31.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7111) op(e1, e1) = e2
% 197.49/31.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (6573), (7111), (function-axioms) are
% 197.49/31.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1919.
% 197.49/31.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.49/31.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7112) all_56_11 = e2 & op(e1, e0) = e2
% 197.49/31.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6970), (7112) are inconsistent by sub-proof
% 197.49/31.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1384.
% 197.49/31.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.49/31.44 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.44 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.49/31.44 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.44 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.49/31.44 | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.44 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.49/31.44 | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.44 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.49/31.44 | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.44 | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.49/31.44 | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.44 | | | | | | | | | | | | | | | | | | | | | End of split
% 197.49/31.44 | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.44 | | | | | | | | | | | | | | | | | | | | End of split
% 197.49/31.44 | | | | | | | | | | | | | | | | | | | |
% 197.49/31.44 | | | | | | | | | | | | | | | | | | | Case 2:
% 197.49/31.44 | | | | | | | | | | | | | | | | | | | |
% 197.49/31.44 | | | | | | | | | | | | | | | | | | | | (7113) all_56_10 = e3 & op(e2, e0) = e3
% 197.49/31.44 | | | | | | | | | | | | | | | | | | | |
% 197.49/31.44 | | | | | | | | | | | | | | | | | | | | ALPHA: (7113) implies:
% 197.49/31.44 | | | | | | | | | | | | | | | | | | | | (7114) op(e2, e0) = e3
% 197.49/31.44 | | | | | | | | | | | | | | | | | | | |
% 197.49/31.44 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (6475), (7114), (function-axioms) are
% 197.49/31.44 | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1659.
% 197.49/31.44 | | | | | | | | | | | | | | | | | | | |
% 197.49/31.44 | | | | | | | | | | | | | | | | | | | End of split
% 197.49/31.44 | | | | | | | | | | | | | | | | | | |
% 197.49/31.44 | | | | | | | | | | | | | | | | | | Case 2:
% 197.49/31.44 | | | | | | | | | | | | | | | | | | |
% 197.49/31.44 | | | | | | | | | | | | | | | | | | | (7115) (all_56_11 = e3 & op(e1, e0) = e3) | (all_56_15 =
% 197.49/31.44 | | | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = e3)
% 197.49/31.44 | | | | | | | | | | | | | | | | | | |
% 197.49/31.44 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (160), (206), (207),
% 197.49/31.44 | | | | | | | | | | | | | | | | | | | (208), (6572), (6584), (7115), (function-axioms)
% 197.49/31.44 | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1441.
% 197.49/31.44 | | | | | | | | | | | | | | | | | | |
% 197.49/31.44 | | | | | | | | | | | | | | | | | | End of split
% 197.49/31.44 | | | | | | | | | | | | | | | | | |
% 197.49/31.44 | | | | | | | | | | | | | | | | | End of split
% 197.49/31.44 | | | | | | | | | | | | | | | | |
% 197.49/31.44 | | | | | | | | | | | | | | | | End of split
% 197.49/31.44 | | | | | | | | | | | | | | | |
% 197.49/31.44 | | | | | | | | | | | | | | | End of split
% 197.49/31.44 | | | | | | | | | | | | | | |
% 197.49/31.44 | | | | | | | | | | | | | | End of split
% 197.49/31.44 | | | | | | | | | | | | | |
% 197.49/31.44 | | | | | | | | | | | | | Case 2:
% 197.49/31.44 | | | | | | | | | | | | | |
% 197.49/31.44 | | | | | | | | | | | | | | (7116) all_30_2 = e2
% 197.49/31.44 | | | | | | | | | | | | | | (7117) op(e2, e0) = all_30_1 & $i(all_30_1) & ( ~
% 197.49/31.44 | | | | | | | | | | | | | | (all_30_1 = e3) | ( ~ (all_30_0 = e1) & op(e3,
% 197.49/31.44 | | | | | | | | | | | | | | e2) = all_30_0 & $i(all_30_0)))
% 197.49/31.44 | | | | | | | | | | | | | |
% 197.49/31.44 | | | | | | | | | | | | | | ALPHA: (7117) implies:
% 197.49/31.44 | | | | | | | | | | | | | | (7118) op(e2, e0) = all_30_1
% 197.49/31.44 | | | | | | | | | | | | | |
% 197.49/31.44 | | | | | | | | | | | | | | COMBINE_EQS: (309), (7116) imply:
% 197.49/31.44 | | | | | | | | | | | | | | (7119) all_10_2 = e2
% 197.49/31.44 | | | | | | | | | | | | | |
% 197.49/31.44 | | | | | | | | | | | | | | SIMP: (7119) implies:
% 197.49/31.44 | | | | | | | | | | | | | | (7120) all_10_2 = e2
% 197.49/31.44 | | | | | | | | | | | | | |
% 197.49/31.44 | | | | | | | | | | | | | | COMBINE_EQS: (303), (7120) imply:
% 197.49/31.44 | | | | | | | | | | | | | | (7121) all_42_2 = e2
% 197.49/31.44 | | | | | | | | | | | | | |
% 197.49/31.44 | | | | | | | | | | | | | | REDUCE: (361), (7120) imply:
% 197.49/31.44 | | | | | | | | | | | | | | (7122) ~ (all_52_7 = e2)
% 197.49/31.44 | | | | | | | | | | | | | |
% 197.49/31.44 | | | | | | | | | | | | | | REDUCE: (368), (7120) imply:
% 197.49/31.44 | | | | | | | | | | | | | | (7123) ~ (all_52_11 = e2)
% 197.49/31.44 | | | | | | | | | | | | | |
% 197.49/31.44 | | | | | | | | | | | | | | REDUCE: (370), (7120) imply:
% 197.49/31.44 | | | | | | | | | | | | | | (7124) ~ (all_52_13 = e2)
% 197.49/31.44 | | | | | | | | | | | | | |
% 197.49/31.44 | | | | | | | | | | | | | | REDUCE: (376), (7120) imply:
% 197.49/31.44 | | | | | | | | | | | | | | (7125) ~ (e3 = e2)
% 197.49/31.44 | | | | | | | | | | | | | |
% 197.49/31.44 | | | | | | | | | | | | | | REDUCE: (45), (7120) imply:
% 197.49/31.44 | | | | | | | | | | | | | | (7126) op(e0, e0) = e2
% 197.49/31.44 | | | | | | | | | | | | | |
% 197.49/31.44 | | | | | | | | | | | | | | BETA: splitting (94) gives:
% 197.49/31.44 | | | | | | | | | | | | | |
% 197.49/31.44 | | | | | | | | | | | | | | Case 1:
% 197.49/31.44 | | | | | | | | | | | | | | |
% 197.49/31.44 | | | | | | | | | | | | | | | (7127) ~ (all_42_2 = e2)
% 197.49/31.44 | | | | | | | | | | | | | | |
% 197.49/31.44 | | | | | | | | | | | | | | | REDUCE: (7121), (7127) imply:
% 197.49/31.44 | | | | | | | | | | | | | | | (7128) $false
% 197.49/31.44 | | | | | | | | | | | | | | |
% 197.49/31.44 | | | | | | | | | | | | | | | CLOSE: (7128) is inconsistent.
% 197.49/31.44 | | | | | | | | | | | | | | |
% 197.49/31.44 | | | | | | | | | | | | | | Case 2:
% 197.49/31.44 | | | | | | | | | | | | | | |
% 197.49/31.44 | | | | | | | | | | | | | | | (7129) op(e2, e0) = all_42_1 & $i(all_42_1) & ( ~
% 197.49/31.44 | | | | | | | | | | | | | | | (all_42_1 = e1) | ( ~ (all_42_0 = e3) & op(e1,
% 197.49/31.44 | | | | | | | | | | | | | | | e2) = all_42_0 & $i(all_42_0)))
% 197.49/31.44 | | | | | | | | | | | | | | |
% 197.49/31.44 | | | | | | | | | | | | | | | ALPHA: (7129) implies:
% 197.49/31.44 | | | | | | | | | | | | | | | (7130) op(e2, e0) = all_42_1
% 197.49/31.44 | | | | | | | | | | | | | | | (7131) ~ (all_42_1 = e1) | ( ~ (all_42_0 = e3) & op(e1,
% 197.49/31.44 | | | | | | | | | | | | | | | e2) = all_42_0 & $i(all_42_0))
% 197.49/31.44 | | | | | | | | | | | | | | |
% 197.49/31.44 | | | | | | | | | | | | | | | BETA: splitting (219) gives:
% 197.49/31.44 | | | | | | | | | | | | | | |
% 197.49/31.44 | | | | | | | | | | | | | | | Case 1:
% 197.49/31.45 | | | | | | | | | | | | | | | |
% 197.49/31.45 | | | | | | | | | | | | | | | | (7132) (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2
% 197.49/31.45 | | | | | | | | | | | | | | | | & op(e2, e1) = e2)
% 197.49/31.45 | | | | | | | | | | | | | | | |
% 197.49/31.45 | | | | | | | | | | | | | | | | BETA: splitting (7132) gives:
% 197.49/31.45 | | | | | | | | | | | | | | | |
% 197.49/31.45 | | | | | | | | | | | | | | | | Case 1:
% 197.49/31.45 | | | | | | | | | | | | | | | | |
% 197.49/31.45 | | | | | | | | | | | | | | | | | (7133) all_56_4 = e2 & op(e3, e1) = e2
% 197.49/31.45 | | | | | | | | | | | | | | | | |
% 197.49/31.45 | | | | | | | | | | | | | | | | | ALPHA: (7133) implies:
% 197.49/31.45 | | | | | | | | | | | | | | | | | (7134) op(e3, e1) = e2
% 197.49/31.45 | | | | | | | | | | | | | | | | |
% 197.49/31.45 | | | | | | | | | | | | | | | | | REF_CLOSE: (169), (5135), (7134), (function-axioms) are
% 197.49/31.45 | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1071.
% 197.49/31.45 | | | | | | | | | | | | | | | | |
% 197.49/31.45 | | | | | | | | | | | | | | | | Case 2:
% 197.49/31.45 | | | | | | | | | | | | | | | | |
% 197.49/31.45 | | | | | | | | | | | | | | | | | (7135) all_56_5 = e2 & op(e2, e1) = e2
% 197.49/31.45 | | | | | | | | | | | | | | | | |
% 197.49/31.45 | | | | | | | | | | | | | | | | | ALPHA: (7135) implies:
% 197.49/31.45 | | | | | | | | | | | | | | | | | (7136) all_56_5 = e2
% 197.49/31.45 | | | | | | | | | | | | | | | | | (7137) op(e2, e1) = e2
% 197.49/31.45 | | | | | | | | | | | | | | | | |
% 197.49/31.45 | | | | | | | | | | | | | | | | | BETA: splitting (227) gives:
% 197.49/31.45 | | | | | | | | | | | | | | | | |
% 197.49/31.45 | | | | | | | | | | | | | | | | | Case 1:
% 197.49/31.45 | | | | | | | | | | | | | | | | | |
% 197.49/31.45 | | | | | | | | | | | | | | | | | | (7138) (all_56_1 = e2 & op(e3, e2) = e2) | (all_56_3 = e2
% 197.49/31.45 | | | | | | | | | | | | | | | | | | & op(e2, e2) = e2)
% 197.49/31.45 | | | | | | | | | | | | | | | | | |
% 197.49/31.45 | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (170), (5134), (6477), (7138),
% 197.49/31.45 | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 197.49/31.45 | | | | | | | | | | | | | | | | | | #895.
% 197.49/31.45 | | | | | | | | | | | | | | | | | |
% 197.49/31.45 | | | | | | | | | | | | | | | | | Case 2:
% 197.49/31.45 | | | | | | | | | | | | | | | | | |
% 197.49/31.45 | | | | | | | | | | | | | | | | | | (7139) (all_56_7 = e2 & op(e1, e2) = e2) | (all_56_13 =
% 197.49/31.45 | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e2)
% 197.49/31.45 | | | | | | | | | | | | | | | | | |
% 197.49/31.45 | | | | | | | | | | | | | | | | | | BETA: splitting (7139) gives:
% 197.49/31.45 | | | | | | | | | | | | | | | | | |
% 197.49/31.45 | | | | | | | | | | | | | | | | | | Case 1:
% 197.49/31.45 | | | | | | | | | | | | | | | | | | |
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | (7140) all_56_7 = e2 & op(e1, e2) = e2
% 197.49/31.45 | | | | | | | | | | | | | | | | | | |
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | ALPHA: (7140) implies:
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | (7141) all_56_7 = e2
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | (7142) op(e1, e2) = e2
% 197.49/31.45 | | | | | | | | | | | | | | | | | | |
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_6, e2,
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | e2, e1, simplifying with (162), (7142) gives:
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | (7143) all_52_6 = e2
% 197.49/31.45 | | | | | | | | | | | | | | | | | | |
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_13,
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | all_30_1, e0, e2, simplifying with (164), (7118)
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | gives:
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | (7144) all_52_13 = all_30_1
% 197.49/31.45 | | | | | | | | | | | | | | | | | | |
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_13,
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | all_42_1, e0, e2, simplifying with (164), (7130)
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | gives:
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | (7145) all_52_13 = all_42_1
% 197.49/31.45 | | | | | | | | | | | | | | | | | | |
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_9, e2,
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | e1, e2, simplifying with (165), (7137) gives:
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | (7146) all_52_9 = e2
% 197.49/31.45 | | | | | | | | | | | | | | | | | | |
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (7144), (7145) imply:
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | (7147) all_42_1 = all_30_1
% 197.49/31.45 | | | | | | | | | | | | | | | | | | |
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (260), (7144) imply:
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | (7148) all_54_7 = all_30_1
% 197.49/31.45 | | | | | | | | | | | | | | | | | | |
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | REDUCE: (126), (7143) imply:
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | (7149) ~ (all_52_14 = e2)
% 197.49/31.45 | | | | | | | | | | | | | | | | | | |
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | SIMP: (7149) implies:
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | (7150) ~ (all_52_14 = e2)
% 197.49/31.45 | | | | | | | | | | | | | | | | | | |
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | REDUCE: (6493), (7143) imply:
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | (7151) ~ (all_16_1 = e2)
% 197.49/31.45 | | | | | | | | | | | | | | | | | | |
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | REDUCE: (118), (7146) imply:
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | (7152) ~ (all_52_11 = e2)
% 197.49/31.45 | | | | | | | | | | | | | | | | | | |
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | REDUCE: (5156), (7146) imply:
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | (7153) ~ (all_14_1 = e2)
% 197.49/31.45 | | | | | | | | | | | | | | | | | | |
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | REDUCE: (363), (7146) imply:
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | (7154) ~ (all_4_2 = e2)
% 197.49/31.45 | | | | | | | | | | | | | | | | | | |
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | REDUCE: (110), (7144) imply:
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | (7155) ~ (all_52_14 = all_30_1)
% 197.49/31.45 | | | | | | | | | | | | | | | | | | |
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | SIMP: (7155) implies:
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | (7156) ~ (all_52_14 = all_30_1)
% 197.49/31.45 | | | | | | | | | | | | | | | | | | |
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | REDUCE: (5158), (7144) imply:
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | (7157) ~ (all_30_1 = all_14_1)
% 197.49/31.45 | | | | | | | | | | | | | | | | | | |
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | REDUCE: (6475), (7144) imply:
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | (7158) ~ (all_30_1 = e3)
% 197.49/31.45 | | | | | | | | | | | | | | | | | | |
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | REDUCE: (7124), (7144) imply:
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | (7159) ~ (all_30_1 = e2)
% 197.49/31.45 | | | | | | | | | | | | | | | | | | |
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | BETA: splitting (79) gives:
% 197.49/31.45 | | | | | | | | | | | | | | | | | | |
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | Case 1:
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | |
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | (7160) ~ (all_32_2 = e3)
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | |
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | REDUCE: (301), (7160) imply:
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | (7161) ~ (all_4_2 = e3)
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | |
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | BETA: splitting (194) gives:
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | |
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | (7162) all_54_10 = e3
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (335), (7161), (7162) are inconsistent by
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | sub-proof #1974.
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | (7163) ~ (all_54_10 = e3)
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | (7164) all_54_10 = e2 | all_54_10 = e1 | all_54_10 = e0
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7164) gives:
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | | (7165) all_54_10 = e2
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (335), (375), (7165) are inconsistent by sub-proof
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | | #1973.
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | | (7166) ~ (all_54_10 = e2)
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | | (7167) all_54_10 = e1 | all_54_10 = e0
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7167) gives:
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | | | (7168) all_54_10 = e1
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (335), (7168) imply:
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | | | (7169) all_4_2 = e1
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | | | SIMP: (7169) implies:
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | | | (7170) all_4_2 = e1
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (349), (7170) imply:
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | | | (7171) ~ (all_52_2 = e1)
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (362), (7170) imply:
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | | | (7172) ~ (all_52_8 = e1)
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (365), (7170) imply:
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | | | (7173) ~ (all_52_11 = e1)
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (367), (7170) imply:
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | | | (7174) ~ (all_52_14 = e1)
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7161), (7170) imply:
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | | | (7175) ~ (e3 = e1)
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (375), (7170) imply:
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | | | (7176) ~ (e2 = e1)
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (36), (7170) imply:
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | | | (7177) op(e1, e1) = e1
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (197) gives:
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | | | | (7178) all_54_7 = e3
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7148), (7158), (7178) are inconsistent by
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1228.
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | | | | (7179) all_54_7 = e2 | all_54_7 = e1 | all_54_7 = e0
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (190) gives:
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | | | | | (7180) all_54_14 = e3
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (247), (7180) imply:
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | | | | | (7181) all_52_11 = e3
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (139), (7181) imply:
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | | | | | (7182) ~ (all_52_3 = e3)
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (121), (7181) imply:
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | | | | | (7183) ~ (all_52_8 = e3)
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (235) gives:
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | | | | | | (7184) (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_2 = e3
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e3)
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7184) gives:
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | (7185) all_56_0 = e3 & op(e3, e3) = e3
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (5144), (7185) are inconsistent by sub-proof
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | #1645.
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | (7186) all_56_2 = e3 & op(e2, e3) = e3
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5128), (6476), (7186), (function-axioms) are
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #934.
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | | | | | | (7187) (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_12 =
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e3) = e3)
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7187) gives:
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | (7188) all_56_6 = e3 & op(e1, e3) = e3
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7188) implies:
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | (7189) all_56_6 = e3
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | (7190) op(e1, e3) = e3
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (202) gives:
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7191) all_54_2 = e3
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (271), (7191) imply:
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7192) all_52_8 = e3
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7183), (7192) imply:
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7193) $false
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (7193) is inconsistent.
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7194) ~ (all_54_2 = e3)
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7195) all_54_2 = e2 | all_54_2 = e1 | all_54_2 = e0
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (236) gives:
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7196) (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_1 = e3
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e3)
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (170), (5144), (6471), (7196),
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1460.
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7197) (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_9 = e3
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e3)
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7197) gives:
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7198) all_56_4 = e3 & op(e3, e1) = e3
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7198) implies:
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7199) op(e3, e1) = e3
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (169), (7183), (7199), (function-axioms) are
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1930.
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7200) all_56_9 = e3 & op(e3, e0) = e3
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7200) implies:
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7201) all_56_9 = e3
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (210) gives:
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7202) (all_56_9 = e1 & op(e3, e0) = e1) | (all_56_10 =
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e2, e0) = e1)
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7202) gives:
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7203) all_56_9 = e1 & op(e3, e0) = e1
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7203) implies:
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7204) all_56_9 = e1
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (7201), (7204) are inconsistent by sub-proof
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1707.
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7205) all_56_10 = e1 & op(e2, e0) = e1
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7205) implies:
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7206) all_56_10 = e1
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7195) gives:
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7207) all_54_2 = e2
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (271), (5135), (7207) are inconsistent by
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1020.
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7208) ~ (all_54_2 = e2)
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7209) all_54_2 = e1 | all_54_2 = e0
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (213) gives:
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7210) (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_7 = e0
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e0)
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7210) gives:
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7211) all_56_6 = e0 & op(e1, e3) = e0
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (7189), (7211) are inconsistent by sub-proof
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1723.
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7212) all_56_7 = e0 & op(e1, e2) = e0
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (7141), (7212) are inconsistent by sub-proof
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1076.
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7213) (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_11 =
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e1, e0) = e0)
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7213) gives:
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7214) all_56_8 = e0 & op(e1, e1) = e0
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7214) implies:
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7215) op(e1, e1) = e0
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (7177), (7215), (function-axioms) are
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1956.
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7216) all_56_11 = e0 & op(e1, e0) = e0
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7216) implies:
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7217) all_56_11 = e0
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7209) gives:
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7218) all_54_2 = e1
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (271), (7172), (7218) are inconsistent by
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1019.
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7219) all_54_2 = e0
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (271), (7219) imply:
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7220) all_52_8 = e0
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (7220) implies:
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7221) all_52_8 = e0
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6497), (7221) imply:
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7222) ~ (all_16_1 = e0)
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (7222) implies:
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7223) ~ (all_16_1 = e0)
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7183), (7221) imply:
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7224) ~ (e3 = e0)
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5135), (7221) imply:
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7225) ~ (e2 = e0)
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7172), (7221) imply:
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7226) ~ (e1 = e0)
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (232) gives:
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7227) (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_1 = e1
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e1)
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7227) gives:
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7228) all_56_0 = e1 & op(e3, e3) = e1
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7228) implies:
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7229) op(e3, e3) = e1
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (5145), (7229), (function-axioms) are
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1966.
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7230) all_56_1 = e1 & op(e3, e2) = e1
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7230) implies:
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7231) all_56_1 = e1
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (203) gives:
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7232) all_54_1 = e3
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (6491), (7232) imply:
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7233) all_16_1 = e3
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6500), (7233) imply:
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7234) $false
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (7234) is inconsistent.
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7235) ~ (all_54_1 = e3)
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7236) all_54_1 = e2 | all_54_1 = e1 | all_54_1 = e0
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (225) gives:
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7237) (all_56_1 = e0 & op(e3, e2) = e0) | (all_56_3 = e0
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e0)
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (7), (6477), (7231), (7237),
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #906.
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7238) (all_56_7 = e0 & op(e1, e2) = e0) | (all_56_13 =
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0)
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7238) gives:
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7239) all_56_7 = e0 & op(e1, e2) = e0
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (7141), (7239) are inconsistent by sub-proof
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1076.
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7240) all_56_13 = e0 & op(e0, e2) = e0
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7240) implies:
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7241) op(e0, e2) = e0
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (201) gives:
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7242) all_54_3 = e3
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (270), (7242) imply:
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7243) all_52_12 = e3
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (7243) implies:
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7244) all_52_12 = e3
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (112), (7244) imply:
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7245) ~ (all_52_14 = e3)
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (7245) implies:
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7246) ~ (all_52_14 = e3)
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (193) gives:
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7247) all_54_11 = e3
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (250), (7246), (7247) are inconsistent by
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1835.
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7248) all_54_11 = e2 | all_54_11 = e1 | all_54_11 = e0
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7248) gives:
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7249) all_54_11 = e2
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (250), (7150), (7249) are inconsistent by
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1768.
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7250) all_54_11 = e1 | all_54_11 = e0
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7250) gives:
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7251) all_54_11 = e1
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (250), (7174), (7251) are inconsistent by
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #979.
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7252) all_54_11 = e0
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (250), (7252) imply:
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7253) all_52_14 = e0
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (7253) implies:
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7254) all_52_14 = e0
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7156), (7254) imply:
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7255) ~ (all_30_1 = e0)
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (7255) implies:
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7256) ~ (all_30_1 = e0)
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (160), (7254) imply:
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7257) op(e1, e0) = e0
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7179) gives:
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7258) all_54_7 = e2
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7148), (7159), (7258) are inconsistent by
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1359.
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7259) all_54_7 = e1 | all_54_7 = e0
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7259) gives:
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7260) all_54_7 = e1
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (7148), (7260) imply:
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7261) all_30_1 = e1
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (7261) implies:
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7262) all_30_1 = e1
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (7147), (7262) imply:
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7263) all_42_1 = e1
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7157), (7262) imply:
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7264) ~ (all_14_1 = e1)
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (7264) implies:
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7265) ~ (all_14_1 = e1)
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (200) gives:
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7266) all_54_4 = e3
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5150), (6476), (7266) are inconsistent by
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #984.
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7267) ~ (all_54_4 = e3)
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7268) all_54_4 = e2 | all_54_4 = e1 | all_54_4 = e0
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7268) gives:
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7269) all_54_4 = e2
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5150), (5160), (7269) are inconsistent by
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #983.
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7270) ~ (all_54_4 = e2)
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7271) all_54_4 = e1 | all_54_4 = e0
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7271) gives:
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7272) all_54_4 = e1
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5150), (7265), (7272) are inconsistent by
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #982.
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7273) all_54_4 = e0
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5150), (7273) imply:
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7274) all_14_1 = e0
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (7274) implies:
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7275) all_14_1 = e0
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5149), (7275) imply:
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7276) all_22_1 = e0
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5154), (7275) imply:
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7277) ~ (all_52_3 = e0)
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (192) gives:
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7278) all_54_12 = e3
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (249), (7182), (7278) are inconsistent by
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1227.
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7279) ~ (all_54_12 = e3)
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7280) all_54_12 = e2 | all_54_12 = e1 | all_54_12 = e0
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (238) gives:
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7281) (all_57_3 = e3 & ~ (all_57_1 = e2) & ~ (all_57_8
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_10 = e2) & ~ (all_57_12 =
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_14 = e0) & op(e3, e3) =
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e2) = e3 & op(e2, all_57_9) =
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_8 & op(e2, all_57_11) = all_57_10 &
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_13) = all_57_12 & op(e2,
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15) = all_57_14 & op(e2, e3) = all_57_9
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = all_57_11 & op(e2, e1) =
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_13 & op(e2, e0) = all_57_15 &
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_8) & $i(all_57_9) &
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & $i(all_57_11) & $i(all_57_12) &
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13) & $i(all_57_14) & $i(all_57_15)) |
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_5 = e3 & ~ (all_57_1 = e1) & ~
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_16 = e3) & ~ (all_57_18 = e2) & ~
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_22 = e0) & op(e3,
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_1 & op(e3, e1) = e3 & op(e1,
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17) = all_57_16 & op(e1, all_57_19) =
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_18 & op(e1, all_57_21) = all_57_20 &
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_23) = all_57_22 & op(e1, e3) =
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e1, e2) = all_57_19 & op(e1, e1)
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_21 & op(e1, e0) = all_57_23 &
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_16) & $i(all_57_17) &
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_19) & $i(all_57_20) &
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_22) & $i(all_57_23)) |
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_7 = e3 & ~ (all_57_1 = e0) & ~
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) & op(e3,
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_1 & op(e3, e0) = e3 & op(e0,
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25) = all_57_24 & op(e0, all_57_27) =
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e0, all_57_29) = all_57_28 &
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_31) = all_57_30 & op(e0, e3) =
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_27 & op(e0, e1)
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_29 & op(e0, e0) = all_57_31 &
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_24) & $i(all_57_25) &
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_27) & $i(all_57_28) &
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29) & $i(all_57_30) & $i(all_57_31)) |
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e2 & ~ (all_57_0 = e3) & ~ (all_57_2
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2) & ~ (all_57_4 = e1) & ~ (all_57_6 =
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_11 = e3) & op(e3, all_57_1) =
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_0 & op(e3, all_57_3) = all_57_2 & op(e3,
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_5) = all_57_4 & op(e3, all_57_7) =
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_6 & op(e3, e3) = all_57_1 & op(e3, e2) =
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 & op(e3, e1) = all_57_5 & op(e3, e0) =
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7 & op(e2, e3) = e2 & op(e2, e2) =
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_11 & $i(all_57_0) & $i(all_57_1) &
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_2) & $i(all_57_3) & $i(all_57_4) &
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11))
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7281) gives:
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.49/31.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7282) (all_57_3 = e3 & ~ (all_57_1 = e2) & ~ (all_57_8
% 197.49/31.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_10 = e2) & ~ (all_57_12 =
% 197.49/31.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_14 = e0) & op(e3, e3) =
% 197.49/31.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e2) = e3 & op(e2, all_57_9) =
% 197.49/31.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_8 & op(e2, all_57_11) = all_57_10 &
% 197.49/31.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_13) = all_57_12 & op(e2,
% 197.49/31.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15) = all_57_14 & op(e2, e3) = all_57_9
% 197.49/31.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = all_57_11 & op(e2, e1) =
% 197.49/31.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_13 & op(e2, e0) = all_57_15 &
% 197.49/31.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_8) & $i(all_57_9) &
% 197.49/31.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & $i(all_57_11) & $i(all_57_12) &
% 197.49/31.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13) & $i(all_57_14) & $i(all_57_15)) |
% 197.49/31.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_5 = e3 & ~ (all_57_1 = e1) & ~
% 197.49/31.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_16 = e3) & ~ (all_57_18 = e2) & ~
% 197.49/31.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_22 = e0) & op(e3,
% 197.49/31.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_1 & op(e3, e1) = e3 & op(e1,
% 197.49/31.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17) = all_57_16 & op(e1, all_57_19) =
% 197.49/31.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_18 & op(e1, all_57_21) = all_57_20 &
% 197.49/31.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_23) = all_57_22 & op(e1, e3) =
% 197.49/31.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e1, e2) = all_57_19 & op(e1, e1)
% 197.49/31.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_21 & op(e1, e0) = all_57_23 &
% 197.49/31.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_16) & $i(all_57_17) &
% 197.49/31.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_19) & $i(all_57_20) &
% 197.49/31.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_22) & $i(all_57_23))
% 197.49/31.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (170), (6471), (7177), (7282), (function-axioms)
% 197.49/31.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1484.
% 197.49/31.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.49/31.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7283) (all_57_7 = e3 & ~ (all_57_1 = e0) & ~
% 197.49/31.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 197.49/31.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) & op(e3,
% 197.49/31.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_1 & op(e3, e0) = e3 & op(e0,
% 197.49/31.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25) = all_57_24 & op(e0, all_57_27) =
% 197.49/31.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e0, all_57_29) = all_57_28 &
% 197.49/31.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_31) = all_57_30 & op(e0, e3) =
% 197.49/31.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_27 & op(e0, e1)
% 197.49/31.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_29 & op(e0, e0) = all_57_31 &
% 197.49/31.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_24) & $i(all_57_25) &
% 197.49/31.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_27) & $i(all_57_28) &
% 197.49/31.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29) & $i(all_57_30) & $i(all_57_31)) |
% 197.49/31.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e2 & ~ (all_57_0 = e3) & ~ (all_57_2
% 197.49/31.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2) & ~ (all_57_4 = e1) & ~ (all_57_6 =
% 197.49/31.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_11 = e3) & op(e3, all_57_1) =
% 197.49/31.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_0 & op(e3, all_57_3) = all_57_2 & op(e3,
% 197.49/31.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_5) = all_57_4 & op(e3, all_57_7) =
% 197.49/31.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_6 & op(e3, e3) = all_57_1 & op(e3, e2) =
% 197.49/31.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 & op(e3, e1) = all_57_5 & op(e3, e0) =
% 197.49/31.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7 & op(e2, e3) = e2 & op(e2, e2) =
% 197.49/31.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_11 & $i(all_57_0) & $i(all_57_1) &
% 197.49/31.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_2) & $i(all_57_3) & $i(all_57_4) &
% 197.49/31.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 197.49/31.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11))
% 197.49/31.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7283) gives:
% 197.49/31.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.49/31.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7284) all_57_7 = e3 & ~ (all_57_1 = e0) & ~ (all_57_24
% 197.49/31.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_26 = e2) & ~ (all_57_28 =
% 197.49/31.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_30 = e0) & op(e3, e3) =
% 197.49/31.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e0) = e3 & op(e0, all_57_25) =
% 197.49/31.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_24 & op(e0, all_57_27) = all_57_26 & op(e0,
% 197.49/31.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_29) = all_57_28 & op(e0, all_57_31) =
% 197.49/31.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30 & op(e0, e3) = all_57_25 & op(e0, e2) =
% 197.49/31.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27 & op(e0, e1) = all_57_29 & op(e0, e0) =
% 197.49/31.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_31 & $i(all_57_1) & $i(all_57_24) &
% 197.49/31.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_25) & $i(all_57_26) & $i(all_57_27) &
% 197.49/31.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28) & $i(all_57_29) & $i(all_57_30) &
% 197.49/31.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_31)
% 197.49/31.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7284) implies:
% 197.49/31.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7285) ~ (all_57_30 = e0)
% 197.49/31.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7286) op(e0, e0) = all_57_31
% 197.49/31.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7287) op(e0, e2) = all_57_27
% 197.49/31.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7288) op(e0, all_57_31) = all_57_30
% 197.49/31.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5141) gives:
% 197.49/31.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.49/31.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7289) ~ (all_22_1 = e0)
% 197.49/31.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7276), (7289) imply:
% 197.49/31.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7290) $false
% 197.49/31.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (7290) is inconsistent.
% 197.49/31.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.49/31.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7291) ~ (all_22_0 = e1) & op(e0, e2) = all_22_0 &
% 197.49/31.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_22_0)
% 197.49/31.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7291) implies:
% 197.49/31.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7292) op(e0, e2) = all_22_0
% 197.49/31.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e2,
% 197.49/31.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_31, e0, e0, simplifying with (7126), (7286)
% 197.49/31.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 197.49/31.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7293) all_57_31 = e2
% 197.49/31.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_22_0,
% 197.49/31.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27, e2, e0, simplifying with (7287), (7292)
% 197.49/31.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 197.49/31.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7294) all_57_27 = all_22_0
% 197.49/31.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e0,
% 197.49/31.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27, e2, e0, simplifying with (7241), (7287)
% 197.49/31.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 197.49/31.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7295) all_57_27 = e0
% 197.49/31.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (7294), (7295) imply:
% 197.49/31.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7296) all_22_0 = e0
% 197.49/31.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7288), (7293) imply:
% 197.49/31.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7297) op(e0, e2) = all_57_30
% 197.49/31.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e0,
% 197.49/31.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30, e2, e0, simplifying with (7241), (7297)
% 197.49/31.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 197.49/31.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7298) all_57_30 = e0
% 197.49/31.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7285), (7298) imply:
% 197.49/31.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7299) $false
% 197.49/31.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (7299) is inconsistent.
% 197.49/31.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.49/31.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.49/31.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7300) all_57_9 = e2 & ~ (all_57_0 = e3) & ~ (all_57_2
% 197.49/31.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2) & ~ (all_57_4 = e1) & ~ (all_57_6 = e0)
% 197.49/31.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_11 = e3) & op(e3, all_57_1) =
% 197.49/31.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_0 & op(e3, all_57_3) = all_57_2 & op(e3,
% 197.49/31.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_5) = all_57_4 & op(e3, all_57_7) =
% 197.49/31.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_6 & op(e3, e3) = all_57_1 & op(e3, e2) =
% 197.49/31.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 & op(e3, e1) = all_57_5 & op(e3, e0) =
% 197.49/31.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7 & op(e2, e3) = e2 & op(e2, e2) =
% 197.49/31.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_11 & $i(all_57_0) & $i(all_57_1) &
% 197.49/31.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_2) & $i(all_57_3) & $i(all_57_4) &
% 197.49/31.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 197.49/31.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11)
% 197.49/31.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7300) implies:
% 197.49/31.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7301) op(e2, e3) = e2
% 197.49/31.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (167), (5131), (7301), (function-axioms) are
% 197.49/31.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1944.
% 197.49/31.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.49/31.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.49/31.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.49/31.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7302) (all_57_13 = e2 & ~ (all_57_11 = e1) & ~
% 197.49/31.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_16 = e3) & ~ (all_57_18 = e2) & ~
% 197.49/31.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_22 = e0) & op(e2,
% 197.49/31.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_11 & op(e2, e1) = e2 & op(e1,
% 197.49/31.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17) = all_57_16 & op(e1, all_57_19) =
% 197.49/31.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_18 & op(e1, all_57_21) = all_57_20 &
% 197.49/31.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_23) = all_57_22 & op(e1, e3) =
% 197.49/31.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e1, e2) = all_57_19 & op(e1, e1)
% 197.49/31.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_21 & op(e1, e0) = all_57_23 &
% 197.49/31.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_16) & $i(all_57_17) &
% 197.49/31.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_19) & $i(all_57_20) &
% 197.49/31.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_22) & $i(all_57_23)) |
% 197.49/31.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e2 & ~ (all_57_11 = e0) & ~
% 197.49/31.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 197.49/31.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) & op(e2,
% 197.49/31.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_11 & op(e2, e0) = e2 & op(e0,
% 197.49/31.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25) = all_57_24 & op(e0, all_57_27) =
% 197.49/31.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e0, all_57_29) = all_57_28 &
% 197.49/31.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_31) = all_57_30 & op(e0, e3) =
% 197.49/31.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_27 & op(e0, e1)
% 197.49/31.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_29 & op(e0, e0) = all_57_31 &
% 197.49/31.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_24) & $i(all_57_25) &
% 197.49/31.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_27) & $i(all_57_28) &
% 197.49/31.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29) & $i(all_57_30) & $i(all_57_31)) |
% 197.49/31.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_17 = e1 & ~ (all_57_0 = e3) & ~
% 197.49/31.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e2) & ~ (all_57_4 = e1) & ~
% 197.49/31.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_6 = e0) & ~ (all_57_21 = e3) & op(e3,
% 197.49/31.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1) = all_57_0 & op(e3, all_57_3) =
% 197.49/31.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_2 & op(e3, all_57_5) = all_57_4 & op(e3,
% 197.49/31.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7) = all_57_6 & op(e3, e3) = all_57_1 &
% 197.49/31.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_3 & op(e3, e1) = all_57_5 &
% 197.49/31.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_7 & op(e1, e3) = e1 & op(e1,
% 197.49/31.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_21 & $i(all_57_0) & $i(all_57_1)
% 197.49/31.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_2) & $i(all_57_3) & $i(all_57_4) &
% 197.49/31.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 197.49/31.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21)) | (all_57_19 = e1 & ~ (all_57_8
% 197.49/31.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_10 = e2) & ~ (all_57_12 =
% 197.49/31.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_14 = e0) & ~ (all_57_21 =
% 197.49/31.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & op(e2, all_57_9) = all_57_8 & op(e2,
% 197.49/31.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_11) = all_57_10 & op(e2, all_57_13) =
% 197.49/31.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & op(e2, all_57_15) = all_57_14 &
% 197.49/31.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_9 & op(e2, e2) = all_57_11 &
% 197.49/31.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_57_13 & op(e2, e0) = all_57_15
% 197.49/31.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e1 & op(e1, e1) = all_57_21 &
% 197.49/31.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8) & $i(all_57_9) & $i(all_57_10) &
% 197.49/31.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_12) & $i(all_57_13) &
% 197.49/31.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & $i(all_57_15) & $i(all_57_21)) |
% 197.49/31.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (op(e0, e0) = all_57_31 & $i(all_57_31) &
% 197.49/31.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_23 = e1 & ~ (all_57_21 = e0) & ~
% 197.49/31.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 197.49/31.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) &
% 197.49/31.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_21 & op(e1, e0) = e1 &
% 197.49/31.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_25) = all_57_24 & op(e0,
% 197.49/31.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27) = all_57_26 & op(e0, all_57_29)
% 197.49/31.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_28 & op(e0, all_57_31) = all_57_30
% 197.49/31.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e3) = all_57_25 & op(e0, e2) =
% 197.49/31.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27 & op(e0, e1) = all_57_29 &
% 197.49/31.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_24) &
% 197.49/31.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_25) & $i(all_57_26) &
% 197.49/31.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27) & $i(all_57_28) &
% 197.49/31.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29) & $i(all_57_30)) | (all_57_25
% 197.49/31.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & ~ (all_57_0 = e3) & ~ (all_57_2 =
% 197.49/31.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_4 = e1) & ~ (all_57_6 =
% 197.49/31.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_31 = e3) & op(e3,
% 197.49/31.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1) = all_57_0 & op(e3, all_57_3) =
% 197.49/31.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_2 & op(e3, all_57_5) = all_57_4 &
% 197.49/31.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, all_57_7) = all_57_6 & op(e3, e3) =
% 197.49/31.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e2) = all_57_3 & op(e3,
% 197.49/31.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_5 & op(e3, e0) = all_57_7 &
% 197.49/31.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_0) &
% 197.49/31.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_2) & $i(all_57_3) &
% 197.49/31.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4) & $i(all_57_5) & $i(all_57_6) &
% 197.49/31.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7)) | (all_57_27 = e0 & ~
% 197.49/31.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e3) & ~ (all_57_10 = e2) & ~
% 197.49/31.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e1) & ~ (all_57_14 = e0) & ~
% 197.49/31.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e2) & op(e2, all_57_9) =
% 197.49/31.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_8 & op(e2, all_57_11) = all_57_10 &
% 197.49/31.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_13) = all_57_12 & op(e2,
% 197.49/31.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15) = all_57_14 & op(e2, e3) =
% 197.49/31.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_9 & op(e2, e2) = all_57_11 & op(e2,
% 197.49/31.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_13 & op(e2, e0) = all_57_15 &
% 197.49/31.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_8) &
% 197.49/31.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9) & $i(all_57_10) & $i(all_57_11)
% 197.49/31.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_12) & $i(all_57_13) &
% 197.49/31.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & $i(all_57_15)) | (all_57_29
% 197.49/31.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & ~ (all_57_16 = e3) & ~ (all_57_18 =
% 197.49/31.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_20 = e1) & ~ (all_57_22
% 197.49/31.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_31 = e1) & op(e1,
% 197.49/31.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17) = all_57_16 & op(e1, all_57_19)
% 197.49/31.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_18 & op(e1, all_57_21) = all_57_20
% 197.49/31.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, all_57_23) = all_57_22 & op(e1, e3)
% 197.49/31.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_17 & op(e1, e2) = all_57_19 &
% 197.49/31.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_21 & op(e1, e0) =
% 197.49/31.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23 & op(e0, e1) = e0 & $i(all_57_16)
% 197.49/31.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_17) & $i(all_57_18) &
% 197.49/31.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_20) &
% 197.49/31.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_22) &
% 197.49/31.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23))))
% 197.49/31.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7302) gives:
% 197.49/31.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.49/31.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7303) (all_57_13 = e2 & ~ (all_57_11 = e1) & ~
% 197.49/31.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_16 = e3) & ~ (all_57_18 = e2) & ~
% 197.49/31.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_22 = e0) & op(e2,
% 197.49/31.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_11 & op(e2, e1) = e2 & op(e1,
% 197.49/31.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17) = all_57_16 & op(e1, all_57_19) =
% 197.49/31.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_18 & op(e1, all_57_21) = all_57_20 &
% 197.49/31.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_23) = all_57_22 & op(e1, e3) =
% 197.49/31.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e1, e2) = all_57_19 & op(e1, e1)
% 197.49/31.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_21 & op(e1, e0) = all_57_23 &
% 197.49/31.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_16) & $i(all_57_17) &
% 197.49/31.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_19) & $i(all_57_20) &
% 197.49/31.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_22) & $i(all_57_23)) |
% 197.49/31.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e2 & ~ (all_57_11 = e0) & ~
% 197.49/31.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 197.49/31.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) & op(e2,
% 197.49/31.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_11 & op(e2, e0) = e2 & op(e0,
% 197.49/31.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25) = all_57_24 & op(e0, all_57_27) =
% 197.49/31.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e0, all_57_29) = all_57_28 &
% 197.49/31.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_31) = all_57_30 & op(e0, e3) =
% 197.49/31.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_27 & op(e0, e1)
% 197.49/31.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_29 & op(e0, e0) = all_57_31 &
% 197.49/31.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_24) & $i(all_57_25) &
% 197.49/31.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_27) & $i(all_57_28) &
% 197.49/31.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29) & $i(all_57_30) & $i(all_57_31))
% 197.49/31.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7303) gives:
% 197.49/31.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.49/31.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7304) all_57_13 = e2 & ~ (all_57_11 = e1) & ~
% 197.49/31.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_16 = e3) & ~ (all_57_18 = e2) & ~
% 197.49/31.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_22 = e0) & op(e2,
% 197.49/31.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_11 & op(e2, e1) = e2 & op(e1,
% 197.49/31.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17) = all_57_16 & op(e1, all_57_19) =
% 197.49/31.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_18 & op(e1, all_57_21) = all_57_20 & op(e1,
% 197.49/31.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23) = all_57_22 & op(e1, e3) = all_57_17
% 197.49/31.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = all_57_19 & op(e1, e1) = all_57_21
% 197.49/31.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e0) = all_57_23 & $i(all_57_11) &
% 197.49/31.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_16) & $i(all_57_17) & $i(all_57_18) &
% 197.49/31.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_20) & $i(all_57_21) &
% 197.49/31.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_23)
% 197.49/31.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7304) implies:
% 197.49/31.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7305) ~ (all_57_20 = e1)
% 197.49/31.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7306) op(e1, e1) = all_57_21
% 197.49/31.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7307) op(e1, all_57_21) = all_57_20
% 197.49/31.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7177), (7305), (7306), (7307), (function-axioms)
% 197.49/31.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1953.
% 197.49/31.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.49/31.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7308) all_57_15 = e2 & ~ (all_57_11 = e0) & ~
% 197.49/31.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 197.49/31.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) & op(e2,
% 197.49/31.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_11 & op(e2, e0) = e2 & op(e0,
% 197.49/31.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25) = all_57_24 & op(e0, all_57_27) =
% 197.49/31.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e0, all_57_29) = all_57_28 & op(e0,
% 197.49/31.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_31) = all_57_30 & op(e0, e3) = all_57_25
% 197.49/31.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e2) = all_57_27 & op(e0, e1) = all_57_29
% 197.49/31.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = all_57_31 & $i(all_57_11) &
% 197.49/31.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_24) & $i(all_57_25) & $i(all_57_26) &
% 197.49/31.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27) & $i(all_57_28) & $i(all_57_29) &
% 197.49/31.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30) & $i(all_57_31)
% 197.49/31.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7308) implies:
% 197.49/31.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7309) op(e2, e0) = e2
% 197.49/31.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (7124), (7309), (function-axioms) are
% 197.49/31.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1941.
% 197.49/31.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.49/31.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.49/31.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7310) (all_57_17 = e1 & ~ (all_57_0 = e3) & ~
% 197.49/31.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e2) & ~ (all_57_4 = e1) & ~
% 197.49/31.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_6 = e0) & ~ (all_57_21 = e3) & op(e3,
% 197.49/31.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1) = all_57_0 & op(e3, all_57_3) =
% 197.49/31.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_2 & op(e3, all_57_5) = all_57_4 & op(e3,
% 197.49/31.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7) = all_57_6 & op(e3, e3) = all_57_1 &
% 197.49/31.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_3 & op(e3, e1) = all_57_5 &
% 197.49/31.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_7 & op(e1, e3) = e1 & op(e1,
% 197.49/31.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_21 & $i(all_57_0) & $i(all_57_1)
% 197.49/31.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_2) & $i(all_57_3) & $i(all_57_4) &
% 197.49/31.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 197.49/31.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21)) | (all_57_19 = e1 & ~ (all_57_8
% 197.49/31.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_10 = e2) & ~ (all_57_12 =
% 197.49/31.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_14 = e0) & ~ (all_57_21 =
% 197.49/31.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & op(e2, all_57_9) = all_57_8 & op(e2,
% 197.49/31.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_11) = all_57_10 & op(e2, all_57_13) =
% 197.49/31.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & op(e2, all_57_15) = all_57_14 &
% 197.49/31.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_9 & op(e2, e2) = all_57_11 &
% 197.49/31.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_57_13 & op(e2, e0) = all_57_15
% 197.49/31.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e1 & op(e1, e1) = all_57_21 &
% 197.49/31.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8) & $i(all_57_9) & $i(all_57_10) &
% 197.49/31.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_12) & $i(all_57_13) &
% 197.49/31.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & $i(all_57_15) & $i(all_57_21)) |
% 197.49/31.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (op(e0, e0) = all_57_31 & $i(all_57_31) &
% 197.49/31.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_23 = e1 & ~ (all_57_21 = e0) & ~
% 197.49/31.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 197.49/31.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) &
% 197.49/31.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_21 & op(e1, e0) = e1 &
% 197.49/31.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_25) = all_57_24 & op(e0,
% 197.49/31.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27) = all_57_26 & op(e0, all_57_29)
% 197.49/31.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_28 & op(e0, all_57_31) = all_57_30
% 197.49/31.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e3) = all_57_25 & op(e0, e2) =
% 197.49/31.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27 & op(e0, e1) = all_57_29 &
% 197.49/31.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_24) &
% 197.49/31.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_25) & $i(all_57_26) &
% 197.49/31.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27) & $i(all_57_28) &
% 197.49/31.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29) & $i(all_57_30)) | (all_57_25
% 197.49/31.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & ~ (all_57_0 = e3) & ~ (all_57_2 =
% 197.49/31.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_4 = e1) & ~ (all_57_6 =
% 197.49/31.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_31 = e3) & op(e3,
% 197.49/31.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1) = all_57_0 & op(e3, all_57_3) =
% 197.49/31.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_2 & op(e3, all_57_5) = all_57_4 &
% 197.49/31.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, all_57_7) = all_57_6 & op(e3, e3) =
% 197.49/31.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e2) = all_57_3 & op(e3,
% 197.49/31.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_5 & op(e3, e0) = all_57_7 &
% 197.49/31.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_0) &
% 197.49/31.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_2) & $i(all_57_3) &
% 197.49/31.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4) & $i(all_57_5) & $i(all_57_6) &
% 197.49/31.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7)) | (all_57_27 = e0 & ~
% 197.49/31.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e3) & ~ (all_57_10 = e2) & ~
% 197.49/31.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e1) & ~ (all_57_14 = e0) & ~
% 197.49/31.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e2) & op(e2, all_57_9) =
% 197.49/31.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_8 & op(e2, all_57_11) = all_57_10 &
% 197.49/31.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_13) = all_57_12 & op(e2,
% 197.49/31.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15) = all_57_14 & op(e2, e3) =
% 197.49/31.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_9 & op(e2, e2) = all_57_11 & op(e2,
% 197.49/31.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_13 & op(e2, e0) = all_57_15 &
% 197.49/31.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_8) &
% 197.49/31.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9) & $i(all_57_10) & $i(all_57_11)
% 197.49/31.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_12) & $i(all_57_13) &
% 197.49/31.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & $i(all_57_15)) | (all_57_29
% 197.49/31.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & ~ (all_57_16 = e3) & ~ (all_57_18 =
% 197.49/31.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_20 = e1) & ~ (all_57_22
% 197.49/31.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_31 = e1) & op(e1,
% 197.49/31.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17) = all_57_16 & op(e1, all_57_19)
% 197.49/31.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_18 & op(e1, all_57_21) = all_57_20
% 197.49/31.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, all_57_23) = all_57_22 & op(e1, e3)
% 197.49/31.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_17 & op(e1, e2) = all_57_19 &
% 197.49/31.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_21 & op(e1, e0) =
% 197.49/31.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23 & op(e0, e1) = e0 & $i(all_57_16)
% 197.49/31.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_17) & $i(all_57_18) &
% 197.49/31.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_20) &
% 197.49/31.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_22) &
% 197.49/31.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23))))
% 197.49/31.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7310) gives:
% 197.49/31.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.49/31.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7311) all_57_17 = e1 & ~ (all_57_0 = e3) & ~ (all_57_2
% 197.49/31.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2) & ~ (all_57_4 = e1) & ~ (all_57_6 = e0)
% 197.49/31.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_21 = e3) & op(e3, all_57_1) =
% 197.49/31.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_0 & op(e3, all_57_3) = all_57_2 & op(e3,
% 197.49/31.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_5) = all_57_4 & op(e3, all_57_7) =
% 197.49/31.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_6 & op(e3, e3) = all_57_1 & op(e3, e2) =
% 197.49/31.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 & op(e3, e1) = all_57_5 & op(e3, e0) =
% 197.49/31.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7 & op(e1, e3) = e1 & op(e1, e1) =
% 197.49/31.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_21 & $i(all_57_0) & $i(all_57_1) &
% 197.49/31.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_2) & $i(all_57_3) & $i(all_57_4) &
% 197.49/31.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 197.49/31.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21)
% 197.49/31.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7311) implies:
% 197.49/31.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7312) op(e1, e3) = e1
% 197.49/31.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6467), (6491), (6500), (6501), (7190), (7223),
% 197.49/31.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7236), (7312), (function-axioms) are inconsistent
% 197.49/31.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #891.
% 197.49/31.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.49/31.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.49/31.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7313) (all_57_19 = e1 & ~ (all_57_8 = e3) & ~
% 197.49/31.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e2) & ~ (all_57_12 = e1) & ~
% 197.49/31.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e0) & ~ (all_57_21 = e2) & op(e2,
% 197.49/31.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_9) = all_57_8 & op(e2, all_57_11) =
% 197.49/31.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e2, all_57_13) = all_57_12 &
% 197.49/31.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_15) = all_57_14 & op(e2, e3) =
% 197.49/31.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_9 & op(e2, e2) = all_57_11 & op(e2, e1) =
% 197.49/31.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_13 & op(e2, e0) = all_57_15 & op(e1, e2)
% 197.49/31.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & op(e1, e1) = all_57_21 & $i(all_57_8) &
% 197.49/31.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9) & $i(all_57_10) & $i(all_57_11) &
% 197.49/31.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & $i(all_57_13) & $i(all_57_14) &
% 197.49/31.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & $i(all_57_21)) | (op(e0, e0) =
% 197.49/31.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_31 & $i(all_57_31) & ((all_57_23 = e1 &
% 197.49/31.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_21 = e0) & ~ (all_57_24 = e3) &
% 197.49/31.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_26 = e2) & ~ (all_57_28 = e1) &
% 197.49/31.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_30 = e0) & op(e1, e1) = all_57_21
% 197.49/31.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e0) = e1 & op(e0, all_57_25) =
% 197.49/31.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_24 & op(e0, all_57_27) = all_57_26 &
% 197.49/31.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_29) = all_57_28 & op(e0,
% 197.49/31.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_31) = all_57_30 & op(e0, e3) =
% 197.49/31.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_27 & op(e0,
% 197.49/31.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_29 & $i(all_57_21) &
% 197.49/31.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_24) & $i(all_57_25) &
% 197.49/31.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_27) &
% 197.49/31.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28) & $i(all_57_29) &
% 197.49/31.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_25 = e0 & ~
% 197.49/31.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_0 = e3) & ~ (all_57_2 = e2) & ~
% 197.49/31.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1) & ~ (all_57_6 = e0) & ~
% 197.49/31.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e3) & op(e3, all_57_1) =
% 197.49/31.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_0 & op(e3, all_57_3) = all_57_2 &
% 197.49/31.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, all_57_5) = all_57_4 & op(e3,
% 197.49/31.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7) = all_57_6 & op(e3, e3) =
% 197.49/31.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e2) = all_57_3 & op(e3,
% 197.49/31.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_5 & op(e3, e0) = all_57_7 &
% 197.49/31.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_0) &
% 197.49/31.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_2) & $i(all_57_3) &
% 197.49/31.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4) & $i(all_57_5) & $i(all_57_6) &
% 197.49/31.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7)) | (all_57_27 = e0 & ~
% 197.49/31.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e3) & ~ (all_57_10 = e2) & ~
% 197.49/31.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e1) & ~ (all_57_14 = e0) & ~
% 197.49/31.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e2) & op(e2, all_57_9) =
% 197.83/31.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_8 & op(e2, all_57_11) = all_57_10 &
% 197.83/31.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_13) = all_57_12 & op(e2,
% 197.83/31.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15) = all_57_14 & op(e2, e3) =
% 197.83/31.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_9 & op(e2, e2) = all_57_11 & op(e2,
% 197.83/31.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_13 & op(e2, e0) = all_57_15 &
% 197.83/31.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_8) &
% 197.83/31.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9) & $i(all_57_10) & $i(all_57_11)
% 197.83/31.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_12) & $i(all_57_13) &
% 197.83/31.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & $i(all_57_15)) | (all_57_29
% 197.83/31.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & ~ (all_57_16 = e3) & ~ (all_57_18 =
% 197.83/31.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_20 = e1) & ~ (all_57_22
% 197.83/31.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_31 = e1) & op(e1,
% 197.83/31.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17) = all_57_16 & op(e1, all_57_19)
% 197.83/31.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_18 & op(e1, all_57_21) = all_57_20
% 197.83/31.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, all_57_23) = all_57_22 & op(e1, e3)
% 197.83/31.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_17 & op(e1, e2) = all_57_19 &
% 197.83/31.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_21 & op(e1, e0) =
% 197.83/31.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23 & op(e0, e1) = e0 & $i(all_57_16)
% 197.83/31.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_17) & $i(all_57_18) &
% 197.83/31.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_20) &
% 197.83/31.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_22) &
% 197.83/31.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23))))
% 197.83/31.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7313) gives:
% 197.83/31.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.83/31.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7314) all_57_19 = e1 & ~ (all_57_8 = e3) & ~
% 197.83/31.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e2) & ~ (all_57_12 = e1) & ~
% 197.83/31.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e0) & ~ (all_57_21 = e2) & op(e2,
% 197.83/31.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_9) = all_57_8 & op(e2, all_57_11) =
% 197.83/31.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e2, all_57_13) = all_57_12 & op(e2,
% 197.83/31.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15) = all_57_14 & op(e2, e3) = all_57_9 &
% 197.83/31.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_11 & op(e2, e1) = all_57_13 &
% 197.83/31.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_15 & op(e1, e2) = e1 & op(e1,
% 197.83/31.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_21 & $i(all_57_8) & $i(all_57_9) &
% 197.83/31.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & $i(all_57_11) & $i(all_57_12) &
% 197.83/31.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13) & $i(all_57_14) & $i(all_57_15) &
% 197.83/31.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21)
% 197.83/31.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7314) implies:
% 197.83/31.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7315) op(e1, e2) = e1
% 197.83/31.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7131) gives:
% 197.83/31.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.83/31.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7316) ~ (all_42_1 = e1)
% 197.83/31.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7263), (7316) imply:
% 197.83/31.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7317) $false
% 197.83/31.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (7317) is inconsistent.
% 197.83/31.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.83/31.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7318) ~ (all_42_0 = e3) & op(e1, e2) = all_42_0 &
% 197.83/31.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_42_0)
% 197.83/31.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7318) implies:
% 197.83/31.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7319) op(e1, e2) = all_42_0
% 197.83/31.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7280) gives:
% 197.83/31.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.83/31.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7320) all_54_12 = e2
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (249), (5133), (7320) are inconsistent by
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1226.
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7321) ~ (all_54_12 = e2)
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7322) all_54_12 = e1 | all_54_12 = e0
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7322) gives:
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7323) all_54_12 = e1
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (249), (7323) imply:
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7324) all_52_3 = e1
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (7324) implies:
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7325) all_52_3 = e1
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e2, all_42_0,
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2, e1, simplifying with (7142), (7319) gives:
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7326) all_42_0 = e2
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e1, all_42_0,
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2, e1, simplifying with (7315), (7319) gives:
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7327) all_42_0 = e1
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (7326), (7327) imply:
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7328) e2 = e1
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (7328) implies:
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7329) e2 = e1
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (7136), (7329) imply:
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7330) all_56_5 = e1
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (169), (217),
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (219), (220), (335), (372), (375), (5135), (7167),
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7177), (7330), (function-axioms) are inconsistent
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #910.
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7331) all_54_12 = e0
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (249), (7277), (7331) are inconsistent by
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1277.
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7332) op(e0, e0) = all_57_31 & $i(all_57_31) &
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_23 = e1 & ~ (all_57_21 = e0) & ~
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) &
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_21 & op(e1, e0) = e1 &
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_25) = all_57_24 & op(e0,
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27) = all_57_26 & op(e0, all_57_29) =
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_28 & op(e0, all_57_31) = all_57_30 &
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_25 & op(e0, e2) =
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27 & op(e0, e1) = all_57_29 &
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_24) & $i(all_57_25)
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_26) & $i(all_57_27) &
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28) & $i(all_57_29) & $i(all_57_30))
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_25 = e0 & ~ (all_57_0 = e3) & ~
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e2) & ~ (all_57_4 = e1) & ~
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_6 = e0) & ~ (all_57_31 = e3) & op(e3,
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1) = all_57_0 & op(e3, all_57_3) =
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_2 & op(e3, all_57_5) = all_57_4 &
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, all_57_7) = all_57_6 & op(e3, e3) =
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e2) = all_57_3 & op(e3, e1)
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_5 & op(e3, e0) = all_57_7 & op(e0,
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e0 & $i(all_57_0) & $i(all_57_1) &
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_2) & $i(all_57_3) & $i(all_57_4) &
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_6) & $i(all_57_7)) |
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_27 = e0 & ~ (all_57_8 = e3) & ~
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e2) & ~ (all_57_12 = e1) & ~
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e0) & ~ (all_57_31 = e2) &
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_9) = all_57_8 & op(e2,
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_11) = all_57_10 & op(e2, all_57_13) =
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & op(e2, all_57_15) = all_57_14 &
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_9 & op(e2, e2) = all_57_11
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = all_57_13 & op(e2, e0) =
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15 & op(e0, e2) = e0 & $i(all_57_8) &
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9) & $i(all_57_10) & $i(all_57_11) &
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & $i(all_57_13) & $i(all_57_14)
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_15)) | (all_57_29 = e0 & ~
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_16 = e3) & ~ (all_57_18 = e2) & ~
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_22 = e0) & ~
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e1) & op(e1, all_57_17) =
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_16 & op(e1, all_57_19) = all_57_18 &
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_21) = all_57_20 & op(e1,
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23) = all_57_22 & op(e1, e3) =
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e1, e2) = all_57_19 & op(e1,
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_21 & op(e1, e0) = all_57_23 &
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_16) &
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_17) & $i(all_57_18) & $i(all_57_19)
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_20) & $i(all_57_21) &
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_23)))
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7332) implies:
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7333) op(e0, e0) = all_57_31
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7334) (all_57_23 = e1 & ~ (all_57_21 = e0) & ~
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) & op(e1,
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_21 & op(e1, e0) = e1 & op(e0,
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25) = all_57_24 & op(e0, all_57_27) =
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e0, all_57_29) = all_57_28 &
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_31) = all_57_30 & op(e0, e3) =
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_27 & op(e0, e1)
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_29 & $i(all_57_21) & $i(all_57_24) &
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_25) & $i(all_57_26) & $i(all_57_27) &
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28) & $i(all_57_29) & $i(all_57_30)) |
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_25 = e0 & ~ (all_57_0 = e3) & ~
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e2) & ~ (all_57_4 = e1) & ~
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_6 = e0) & ~ (all_57_31 = e3) & op(e3,
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1) = all_57_0 & op(e3, all_57_3) =
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_2 & op(e3, all_57_5) = all_57_4 & op(e3,
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7) = all_57_6 & op(e3, e3) = all_57_1 &
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_3 & op(e3, e1) = all_57_5 &
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_7 & op(e0, e3) = e0 &
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_0) & $i(all_57_1) & $i(all_57_2) &
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_3) & $i(all_57_4) & $i(all_57_5) &
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_6) & $i(all_57_7)) | (all_57_27 = e0 &
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_8 = e3) & ~ (all_57_10 = e2) & ~
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e1) & ~ (all_57_14 = e0) & ~
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e2) & op(e2, all_57_9) = all_57_8 &
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_11) = all_57_10 & op(e2,
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_13) = all_57_12 & op(e2, all_57_15) =
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_14 & op(e2, e3) = all_57_9 & op(e2, e2) =
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_11 & op(e2, e1) = all_57_13 & op(e2, e0)
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_15 & op(e0, e2) = e0 & $i(all_57_8) &
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9) & $i(all_57_10) & $i(all_57_11) &
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & $i(all_57_13) & $i(all_57_14) &
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15)) | (all_57_29 = e0 & ~ (all_57_16
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_18 = e2) & ~ (all_57_20 =
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_22 = e0) & ~ (all_57_31 =
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & op(e1, all_57_17) = all_57_16 & op(e1,
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_19) = all_57_18 & op(e1, all_57_21) =
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20 & op(e1, all_57_23) = all_57_22 &
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_17 & op(e1, e2) = all_57_19
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = all_57_21 & op(e1, e0) =
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23 & op(e0, e1) = e0 & $i(all_57_16) &
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_17) & $i(all_57_18) & $i(all_57_19) &
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_20) & $i(all_57_21) & $i(all_57_22) &
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23))
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7334) gives:
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7335) (all_57_23 = e1 & ~ (all_57_21 = e0) & ~
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) & op(e1,
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_21 & op(e1, e0) = e1 & op(e0,
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25) = all_57_24 & op(e0, all_57_27) =
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e0, all_57_29) = all_57_28 &
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_31) = all_57_30 & op(e0, e3) =
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_27 & op(e0, e1)
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_29 & $i(all_57_21) & $i(all_57_24) &
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_25) & $i(all_57_26) & $i(all_57_27) &
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28) & $i(all_57_29) & $i(all_57_30)) |
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_25 = e0 & ~ (all_57_0 = e3) & ~
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e2) & ~ (all_57_4 = e1) & ~
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_6 = e0) & ~ (all_57_31 = e3) & op(e3,
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1) = all_57_0 & op(e3, all_57_3) =
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_2 & op(e3, all_57_5) = all_57_4 & op(e3,
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7) = all_57_6 & op(e3, e3) = all_57_1 &
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_3 & op(e3, e1) = all_57_5 &
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_7 & op(e0, e3) = e0 &
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_0) & $i(all_57_1) & $i(all_57_2) &
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_3) & $i(all_57_4) & $i(all_57_5) &
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_6) & $i(all_57_7))
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (159), (7257), (7277), (7335),
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #890.
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7336) (all_57_27 = e0 & ~ (all_57_8 = e3) & ~
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e2) & ~ (all_57_12 = e1) & ~
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e0) & ~ (all_57_31 = e2) & op(e2,
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_9) = all_57_8 & op(e2, all_57_11) =
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e2, all_57_13) = all_57_12 &
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_15) = all_57_14 & op(e2, e3) =
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_9 & op(e2, e2) = all_57_11 & op(e2, e1) =
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_13 & op(e2, e0) = all_57_15 & op(e0, e2)
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & $i(all_57_8) & $i(all_57_9) &
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & $i(all_57_11) & $i(all_57_12) &
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13) & $i(all_57_14) & $i(all_57_15)) |
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_29 = e0 & ~ (all_57_16 = e3) & ~
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_18 = e2) & ~ (all_57_20 = e1) & ~
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_22 = e0) & ~ (all_57_31 = e1) & op(e1,
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17) = all_57_16 & op(e1, all_57_19) =
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_18 & op(e1, all_57_21) = all_57_20 &
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_23) = all_57_22 & op(e1, e3) =
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e1, e2) = all_57_19 & op(e1, e1)
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_21 & op(e1, e0) = all_57_23 & op(e0,
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0 & $i(all_57_16) & $i(all_57_17) &
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_19) & $i(all_57_20) &
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_22) & $i(all_57_23))
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7336) gives:
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7337) all_57_27 = e0 & ~ (all_57_8 = e3) & ~
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e2) & ~ (all_57_12 = e1) & ~
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e0) & ~ (all_57_31 = e2) & op(e2,
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_9) = all_57_8 & op(e2, all_57_11) =
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e2, all_57_13) = all_57_12 & op(e2,
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15) = all_57_14 & op(e2, e3) = all_57_9 &
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_11 & op(e2, e1) = all_57_13 &
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_15 & op(e0, e2) = e0 &
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8) & $i(all_57_9) & $i(all_57_10) &
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_12) & $i(all_57_13) &
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & $i(all_57_15)
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7126), (7333), (7337), (function-axioms) are
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1129.
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7338) all_57_29 = e0 & ~ (all_57_16 = e3) & ~
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_18 = e2) & ~ (all_57_20 = e1) & ~
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_22 = e0) & ~ (all_57_31 = e1) & op(e1,
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17) = all_57_16 & op(e1, all_57_19) =
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_18 & op(e1, all_57_21) = all_57_20 & op(e1,
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23) = all_57_22 & op(e1, e3) = all_57_17
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = all_57_19 & op(e1, e1) = all_57_21
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e0) = all_57_23 & op(e0, e1) = e0 &
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_16) & $i(all_57_17) & $i(all_57_18) &
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_20) & $i(all_57_21) &
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_23)
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7338) implies:
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7339) ~ (all_57_20 = e1)
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7340) op(e1, e1) = all_57_21
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7341) op(e1, all_57_21) = all_57_20
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7177), (7339), (7340), (7341), (function-axioms)
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1953.
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7342) all_54_7 = e0
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7148), (7256), (7342) are inconsistent by
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1357.
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7343) ~ (all_54_3 = e3)
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (270), (7343) imply:
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7344) ~ (all_52_12 = e3)
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (9), (168), (169), (236), (5144), (7183),
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7231), (7344), (function-axioms) are inconsistent
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #994.
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7345) (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_9 = e1
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e1)
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7345) gives:
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7346) all_56_4 = e1 & op(e3, e1) = e1
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7346) implies:
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7347) all_56_4 = e1
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (203) gives:
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7348) all_54_1 = e3
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (6491), (7348) imply:
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7349) all_16_1 = e3
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6500), (7349) imply:
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7350) $false
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (7350) is inconsistent.
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7351) ~ (all_54_1 = e3)
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7352) all_54_1 = e2 | all_54_1 = e1 | all_54_1 = e0
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (230) gives:
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7353) (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_1 = e0
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e0)
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7353) gives:
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7354) all_56_0 = e0 & op(e3, e3) = e0
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7354) implies:
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7355) op(e3, e3) = e0
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (5145), (7355), (function-axioms) are
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1964.
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7356) all_56_1 = e0 & op(e3, e2) = e0
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7356) implies:
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7357) all_56_1 = e0
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (221) gives:
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7358) (all_56_2 = e0 & op(e2, e3) = e0) | (all_56_3 = e0
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e0)
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7358) gives:
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7359) all_56_2 = e0 & op(e2, e3) = e0
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7359) implies:
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7360) all_56_2 = e0
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (231) gives:
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7361) (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_2 = e1
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e1)
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7361) gives:
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7362) all_56_0 = e1 & op(e3, e3) = e1
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7362) implies:
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7363) op(e3, e3) = e1
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (5145), (7363), (function-axioms) are
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1966.
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7364) all_56_2 = e1 & op(e2, e3) = e1
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (7360), (7364) are inconsistent by sub-proof
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1860.
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7365) (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_12 =
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e3) = e1)
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7365) gives:
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7366) all_56_6 = e1 & op(e1, e3) = e1
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7366) implies:
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7367) op(e1, e3) = e1
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6467), (6491), (6500), (6501), (7190), (7223),
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7352), (7367), (function-axioms) are inconsistent
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #891.
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7368) all_56_12 = e1 & op(e0, e3) = e1
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7368) implies:
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7369) all_56_12 = e1
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (226) gives:
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7370) (all_56_1 = e1 & op(e3, e2) = e1) | (all_56_3 = e1
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1)
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (8), (6477), (7357), (7370),
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1667.
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7371) (all_56_7 = e1 & op(e1, e2) = e1) | (all_56_13 =
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e2) = e1)
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7371) gives:
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7372) all_56_7 = e1 & op(e1, e2) = e1
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7372) implies:
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7373) all_56_7 = e1
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (9), (215), (7177), (7189), (7217),
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7373), (function-axioms) are inconsistent by
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #888.
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7374) all_56_13 = e1 & op(e0, e2) = e1
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7374) implies:
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7375) all_56_13 = e1
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (217) gives:
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7376) (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_5 = e0
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e0)
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7376) gives:
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7377) all_56_4 = e0 & op(e3, e1) = e0
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7377) implies:
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7378) all_56_4 = e0
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (7347), (7378) are inconsistent by sub-proof
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1678.
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7379) all_56_5 = e0 & op(e2, e1) = e0
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7379) implies:
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7380) op(e2, e1) = e0
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (7137), (7380), (function-axioms) are
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1852.
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7381) (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_14 =
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0)
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7381) gives:
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7382) all_56_8 = e0 & op(e1, e1) = e0
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7382) implies:
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7383) op(e1, e1) = e0
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (7177), (7383), (function-axioms) are
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1956.
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7384) all_56_14 = e0 & op(e0, e1) = e0
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7384) implies:
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7385) all_56_14 = e0
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8), (45), (209), (376), (7369), (7375),
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7385), (function-axioms) are inconsistent by
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1541.
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7386) all_56_3 = e0 & op(e2, e2) = e0
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7386) implies:
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7387) op(e2, e2) = e0
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (226), (227), (228),
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7357), (7387), (function-axioms) are inconsistent
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1496.
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7388) (all_56_5 = e0 & op(e2, e1) = e0) | (all_56_10 =
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0)
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7388) gives:
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7389) all_56_5 = e0 & op(e2, e1) = e0
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7389) implies:
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7390) op(e2, e1) = e0
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (7137), (7390), (function-axioms) are
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1852.
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7391) all_56_10 = e0 & op(e2, e0) = e0
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (7206), (7391) are inconsistent by sub-proof
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1671.
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7392) (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_9 = e0
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e0)
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7392) gives:
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7393) all_56_4 = e0 & op(e3, e1) = e0
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (7347), (7393) are inconsistent by sub-proof
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1643.
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7394) all_56_9 = e0 & op(e3, e0) = e0
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (7201), (7394) are inconsistent by sub-proof
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1672.
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7395) all_56_9 = e1 & op(e3, e0) = e1
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7395) implies:
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7396) all_56_9 = e1
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (7201), (7396) are inconsistent by sub-proof
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1707.
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7397) (all_56_11 = e1 & op(e1, e0) = e1) | (all_56_15 =
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = e1)
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7397) gives:
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7398) all_56_11 = e1 & op(e1, e0) = e1
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7398) implies:
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7399) op(e1, e0) = e1
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (160), (7174), (7399), (function-axioms) are
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1938.
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7400) all_56_15 = e1 & op(e0, e0) = e1
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7400) implies:
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7401) op(e0, e0) = e1
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (7126), (7401), (function-axioms) are
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1843.
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.83/31.47 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | (7402) all_56_12 = e3 & op(e0, e3) = e3
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (165), (169), (206),
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | (207), (220), (6474), (7126), (7177), (7183),
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | (7402), (function-axioms) are inconsistent by
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #886.
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | | (7403) ~ (all_54_14 = e3)
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | | (7404) all_54_14 = e2 | all_54_14 = e1 | all_54_14 = e0
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (247), (7403) imply:
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | | (7405) ~ (all_52_11 = e3)
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7404) gives:
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | | | (7406) all_54_14 = e2
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (247), (7406) imply:
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | | | (7407) all_52_11 = e2
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7123), (7407) imply:
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | | | (7408) $false
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (7408) is inconsistent.
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | | | (7409) ~ (all_54_14 = e2)
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | | | (7410) all_54_14 = e1 | all_54_14 = e0
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (220) gives:
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | (7411) (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e3)
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7411) gives:
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7412) all_56_4 = e3 & op(e3, e1) = e3
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7412) implies:
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7413) all_56_4 = e3
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (209) gives:
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7414) (all_56_12 = e3 & op(e0, e3) = e3) | (all_56_13 =
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e2) = e3)
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7414) gives:
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7415) all_56_12 = e3 & op(e0, e3) = e3
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7415) implies:
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7416) all_56_12 = e3
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7417) op(e0, e3) = e3
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7410) gives:
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7418) all_54_14 = e1
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (247), (7418) imply:
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7419) all_52_11 = e1
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7173), (7419) imply:
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7420) $false
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (7420) is inconsistent.
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7421) all_54_14 = e0
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (247), (7421) imply:
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7422) all_52_11 = e0
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (139), (7422) imply:
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7423) ~ (all_52_3 = e0)
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (125), (7422) imply:
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7424) ~ (all_52_7 = e0)
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7405), (7422) imply:
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7425) ~ (e3 = e0)
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7123), (7422) imply:
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7426) ~ (e2 = e0)
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7173), (7422) imply:
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7427) ~ (e1 = e0)
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (231) gives:
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7428) (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_2 = e1
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e1)
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7428) gives:
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7429) all_56_0 = e1 & op(e3, e3) = e1
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7429) implies:
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7430) op(e3, e3) = e1
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (5145), (7430), (function-axioms) are
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1966.
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7431) all_56_2 = e1 & op(e2, e3) = e1
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7431) implies:
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7432) all_56_2 = e1
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7433) op(e2, e3) = e1
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (226) gives:
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7434) (all_56_1 = e1 & op(e3, e2) = e1) | (all_56_3 = e1
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1)
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (128), (140), (143), (144), (162), (163),
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (191), (192), (195), (196), (248), (249), (258),
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (259), (5128), (5129), (5133), (5152), (5154),
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6466), (6467), (6472), (6473), (6477), (6493),
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6495), (7433), (7434), (function-axioms) are
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #911.
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7435) (all_56_7 = e1 & op(e1, e2) = e1) | (all_56_13 =
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e2) = e1)
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7435) gives:
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7436) all_56_7 = e1 & op(e1, e2) = e1
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7436) implies:
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7437) all_56_7 = e1
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (7141), (7437) imply:
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7438) e2 = e1
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (7438) implies:
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7439) e2 = e1
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (7136), (7439) imply:
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7440) all_56_5 = e1
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (9), (217), (219), (7177),
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7413), (7440), (function-axioms) are inconsistent
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1159.
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7441) all_56_13 = e1 & op(e0, e2) = e1
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7441) implies:
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7442) all_56_13 = e1
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (238) gives:
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7443) (all_57_3 = e3 & ~ (all_57_1 = e2) & ~ (all_57_8
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_10 = e2) & ~ (all_57_12 =
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_14 = e0) & op(e3, e3) =
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e2) = e3 & op(e2, all_57_9) =
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_8 & op(e2, all_57_11) = all_57_10 &
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_13) = all_57_12 & op(e2,
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15) = all_57_14 & op(e2, e3) = all_57_9
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = all_57_11 & op(e2, e1) =
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_13 & op(e2, e0) = all_57_15 &
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_8) & $i(all_57_9) &
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & $i(all_57_11) & $i(all_57_12) &
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13) & $i(all_57_14) & $i(all_57_15)) |
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_5 = e3 & ~ (all_57_1 = e1) & ~
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_16 = e3) & ~ (all_57_18 = e2) & ~
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_22 = e0) & op(e3,
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_1 & op(e3, e1) = e3 & op(e1,
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17) = all_57_16 & op(e1, all_57_19) =
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_18 & op(e1, all_57_21) = all_57_20 &
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_23) = all_57_22 & op(e1, e3) =
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e1, e2) = all_57_19 & op(e1, e1)
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_21 & op(e1, e0) = all_57_23 &
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_16) & $i(all_57_17) &
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_19) & $i(all_57_20) &
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_22) & $i(all_57_23)) |
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_7 = e3 & ~ (all_57_1 = e0) & ~
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) & op(e3,
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_1 & op(e3, e0) = e3 & op(e0,
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25) = all_57_24 & op(e0, all_57_27) =
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e0, all_57_29) = all_57_28 &
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_31) = all_57_30 & op(e0, e3) =
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_27 & op(e0, e1)
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_29 & op(e0, e0) = all_57_31 &
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_24) & $i(all_57_25) &
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_27) & $i(all_57_28) &
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29) & $i(all_57_30) & $i(all_57_31)) |
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e2 & ~ (all_57_0 = e3) & ~ (all_57_2
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2) & ~ (all_57_4 = e1) & ~ (all_57_6 =
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_11 = e3) & op(e3, all_57_1) =
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_0 & op(e3, all_57_3) = all_57_2 & op(e3,
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_5) = all_57_4 & op(e3, all_57_7) =
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_6 & op(e3, e3) = all_57_1 & op(e3, e2) =
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 & op(e3, e1) = all_57_5 & op(e3, e0) =
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7 & op(e2, e3) = e2 & op(e2, e2) =
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_11 & $i(all_57_0) & $i(all_57_1) &
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_2) & $i(all_57_3) & $i(all_57_4) &
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11))
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7443) gives:
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7444) (all_57_3 = e3 & ~ (all_57_1 = e2) & ~ (all_57_8
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_10 = e2) & ~ (all_57_12 =
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_14 = e0) & op(e3, e3) =
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e2) = e3 & op(e2, all_57_9) =
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_8 & op(e2, all_57_11) = all_57_10 &
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_13) = all_57_12 & op(e2,
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15) = all_57_14 & op(e2, e3) = all_57_9
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = all_57_11 & op(e2, e1) =
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_13 & op(e2, e0) = all_57_15 &
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_8) & $i(all_57_9) &
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & $i(all_57_11) & $i(all_57_12) &
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13) & $i(all_57_14) & $i(all_57_15)) |
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_5 = e3 & ~ (all_57_1 = e1) & ~
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_16 = e3) & ~ (all_57_18 = e2) & ~
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_22 = e0) & op(e3,
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_1 & op(e3, e1) = e3 & op(e1,
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17) = all_57_16 & op(e1, all_57_19) =
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_18 & op(e1, all_57_21) = all_57_20 &
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_23) = all_57_22 & op(e1, e3) =
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e1, e2) = all_57_19 & op(e1, e1)
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_21 & op(e1, e0) = all_57_23 &
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_16) & $i(all_57_17) &
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_19) & $i(all_57_20) &
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_22) & $i(all_57_23))
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (170), (6471), (7177), (7444), (function-axioms)
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1484.
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7445) (all_57_7 = e3 & ~ (all_57_1 = e0) & ~
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) & op(e3,
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_1 & op(e3, e0) = e3 & op(e0,
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25) = all_57_24 & op(e0, all_57_27) =
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e0, all_57_29) = all_57_28 &
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_31) = all_57_30 & op(e0, e3) =
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_27 & op(e0, e1)
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_29 & op(e0, e0) = all_57_31 &
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_24) & $i(all_57_25) &
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_27) & $i(all_57_28) &
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29) & $i(all_57_30) & $i(all_57_31)) |
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e2 & ~ (all_57_0 = e3) & ~ (all_57_2
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2) & ~ (all_57_4 = e1) & ~ (all_57_6 =
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_11 = e3) & op(e3, all_57_1) =
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_0 & op(e3, all_57_3) = all_57_2 & op(e3,
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_5) = all_57_4 & op(e3, all_57_7) =
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_6 & op(e3, e3) = all_57_1 & op(e3, e2) =
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 & op(e3, e1) = all_57_5 & op(e3, e0) =
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7 & op(e2, e3) = e2 & op(e2, e2) =
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_11 & $i(all_57_0) & $i(all_57_1) &
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_2) & $i(all_57_3) & $i(all_57_4) &
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11))
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (167), (5131), (7417), (7445), (function-axioms)
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1628.
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7446) (all_57_13 = e2 & ~ (all_57_11 = e1) & ~
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_16 = e3) & ~ (all_57_18 = e2) & ~
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_22 = e0) & op(e2,
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_11 & op(e2, e1) = e2 & op(e1,
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17) = all_57_16 & op(e1, all_57_19) =
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_18 & op(e1, all_57_21) = all_57_20 &
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_23) = all_57_22 & op(e1, e3) =
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e1, e2) = all_57_19 & op(e1, e1)
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_21 & op(e1, e0) = all_57_23 &
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_16) & $i(all_57_17) &
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_19) & $i(all_57_20) &
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_22) & $i(all_57_23)) |
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e2 & ~ (all_57_11 = e0) & ~
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) & op(e2,
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_11 & op(e2, e0) = e2 & op(e0,
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25) = all_57_24 & op(e0, all_57_27) =
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e0, all_57_29) = all_57_28 &
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_31) = all_57_30 & op(e0, e3) =
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_27 & op(e0, e1)
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_29 & op(e0, e0) = all_57_31 &
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_24) & $i(all_57_25) &
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_27) & $i(all_57_28) &
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29) & $i(all_57_30) & $i(all_57_31)) |
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_17 = e1 & ~ (all_57_0 = e3) & ~
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e2) & ~ (all_57_4 = e1) & ~
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_6 = e0) & ~ (all_57_21 = e3) & op(e3,
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1) = all_57_0 & op(e3, all_57_3) =
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_2 & op(e3, all_57_5) = all_57_4 & op(e3,
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7) = all_57_6 & op(e3, e3) = all_57_1 &
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_3 & op(e3, e1) = all_57_5 &
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_7 & op(e1, e3) = e1 & op(e1,
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_21 & $i(all_57_0) & $i(all_57_1)
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_2) & $i(all_57_3) & $i(all_57_4) &
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21)) | (all_57_19 = e1 & ~ (all_57_8
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_10 = e2) & ~ (all_57_12 =
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_14 = e0) & ~ (all_57_21 =
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & op(e2, all_57_9) = all_57_8 & op(e2,
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_11) = all_57_10 & op(e2, all_57_13) =
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & op(e2, all_57_15) = all_57_14 &
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_9 & op(e2, e2) = all_57_11 &
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_57_13 & op(e2, e0) = all_57_15
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e1 & op(e1, e1) = all_57_21 &
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8) & $i(all_57_9) & $i(all_57_10) &
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_12) & $i(all_57_13) &
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & $i(all_57_15) & $i(all_57_21)) |
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (op(e0, e0) = all_57_31 & $i(all_57_31) &
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_23 = e1 & ~ (all_57_21 = e0) & ~
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) &
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_21 & op(e1, e0) = e1 &
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_25) = all_57_24 & op(e0,
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27) = all_57_26 & op(e0, all_57_29)
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_28 & op(e0, all_57_31) = all_57_30
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e3) = all_57_25 & op(e0, e2) =
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27 & op(e0, e1) = all_57_29 &
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_24) &
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_25) & $i(all_57_26) &
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27) & $i(all_57_28) &
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29) & $i(all_57_30)) | (all_57_25
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & ~ (all_57_0 = e3) & ~ (all_57_2 =
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_4 = e1) & ~ (all_57_6 =
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_31 = e3) & op(e3,
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1) = all_57_0 & op(e3, all_57_3) =
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_2 & op(e3, all_57_5) = all_57_4 &
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, all_57_7) = all_57_6 & op(e3, e3) =
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e2) = all_57_3 & op(e3,
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_5 & op(e3, e0) = all_57_7 &
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_0) &
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_2) & $i(all_57_3) &
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4) & $i(all_57_5) & $i(all_57_6) &
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7)) | (all_57_27 = e0 & ~
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e3) & ~ (all_57_10 = e2) & ~
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e1) & ~ (all_57_14 = e0) & ~
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e2) & op(e2, all_57_9) =
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_8 & op(e2, all_57_11) = all_57_10 &
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_13) = all_57_12 & op(e2,
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15) = all_57_14 & op(e2, e3) =
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_9 & op(e2, e2) = all_57_11 & op(e2,
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_13 & op(e2, e0) = all_57_15 &
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_8) &
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9) & $i(all_57_10) & $i(all_57_11)
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_12) & $i(all_57_13) &
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & $i(all_57_15)) | (all_57_29
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & ~ (all_57_16 = e3) & ~ (all_57_18 =
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_20 = e1) & ~ (all_57_22
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_31 = e1) & op(e1,
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17) = all_57_16 & op(e1, all_57_19)
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_18 & op(e1, all_57_21) = all_57_20
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, all_57_23) = all_57_22 & op(e1, e3)
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_17 & op(e1, e2) = all_57_19 &
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_21 & op(e1, e0) =
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23 & op(e0, e1) = e0 & $i(all_57_16)
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_17) & $i(all_57_18) &
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_20) &
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_22) &
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23))))
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7446) gives:
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7447) (all_57_13 = e2 & ~ (all_57_11 = e1) & ~
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_16 = e3) & ~ (all_57_18 = e2) & ~
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_22 = e0) & op(e2,
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_11 & op(e2, e1) = e2 & op(e1,
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17) = all_57_16 & op(e1, all_57_19) =
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_18 & op(e1, all_57_21) = all_57_20 &
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_23) = all_57_22 & op(e1, e3) =
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e1, e2) = all_57_19 & op(e1, e1)
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_21 & op(e1, e0) = all_57_23 &
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_16) & $i(all_57_17) &
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_19) & $i(all_57_20) &
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_22) & $i(all_57_23)) |
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e2 & ~ (all_57_11 = e0) & ~
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) & op(e2,
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_11 & op(e2, e0) = e2 & op(e0,
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25) = all_57_24 & op(e0, all_57_27) =
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e0, all_57_29) = all_57_28 &
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_31) = all_57_30 & op(e0, e3) =
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_27 & op(e0, e1)
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_29 & op(e0, e0) = all_57_31 &
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_24) & $i(all_57_25) &
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_27) & $i(all_57_28) &
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29) & $i(all_57_30) & $i(all_57_31))
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7177), (7417), (7447), (function-axioms) are
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1157.
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7448) (all_57_17 = e1 & ~ (all_57_0 = e3) & ~
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e2) & ~ (all_57_4 = e1) & ~
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_6 = e0) & ~ (all_57_21 = e3) & op(e3,
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1) = all_57_0 & op(e3, all_57_3) =
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_2 & op(e3, all_57_5) = all_57_4 & op(e3,
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7) = all_57_6 & op(e3, e3) = all_57_1 &
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_3 & op(e3, e1) = all_57_5 &
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_7 & op(e1, e3) = e1 & op(e1,
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_21 & $i(all_57_0) & $i(all_57_1)
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_2) & $i(all_57_3) & $i(all_57_4) &
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21)) | (all_57_19 = e1 & ~ (all_57_8
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_10 = e2) & ~ (all_57_12 =
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_14 = e0) & ~ (all_57_21 =
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & op(e2, all_57_9) = all_57_8 & op(e2,
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_11) = all_57_10 & op(e2, all_57_13) =
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & op(e2, all_57_15) = all_57_14 &
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_9 & op(e2, e2) = all_57_11 &
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_57_13 & op(e2, e0) = all_57_15
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e1 & op(e1, e1) = all_57_21 &
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8) & $i(all_57_9) & $i(all_57_10) &
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_12) & $i(all_57_13) &
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & $i(all_57_15) & $i(all_57_21)) |
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (op(e0, e0) = all_57_31 & $i(all_57_31) &
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_23 = e1 & ~ (all_57_21 = e0) & ~
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) &
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_21 & op(e1, e0) = e1 &
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_25) = all_57_24 & op(e0,
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27) = all_57_26 & op(e0, all_57_29)
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_28 & op(e0, all_57_31) = all_57_30
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e3) = all_57_25 & op(e0, e2) =
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27 & op(e0, e1) = all_57_29 &
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_24) &
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_25) & $i(all_57_26) &
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27) & $i(all_57_28) &
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29) & $i(all_57_30)) | (all_57_25
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & ~ (all_57_0 = e3) & ~ (all_57_2 =
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_4 = e1) & ~ (all_57_6 =
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_31 = e3) & op(e3,
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1) = all_57_0 & op(e3, all_57_3) =
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_2 & op(e3, all_57_5) = all_57_4 &
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, all_57_7) = all_57_6 & op(e3, e3) =
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e2) = all_57_3 & op(e3,
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_5 & op(e3, e0) = all_57_7 &
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_0) &
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_2) & $i(all_57_3) &
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4) & $i(all_57_5) & $i(all_57_6) &
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7)) | (all_57_27 = e0 & ~
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e3) & ~ (all_57_10 = e2) & ~
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e1) & ~ (all_57_14 = e0) & ~
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e2) & op(e2, all_57_9) =
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_8 & op(e2, all_57_11) = all_57_10 &
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_13) = all_57_12 & op(e2,
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15) = all_57_14 & op(e2, e3) =
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_9 & op(e2, e2) = all_57_11 & op(e2,
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_13 & op(e2, e0) = all_57_15 &
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_8) &
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9) & $i(all_57_10) & $i(all_57_11)
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_12) & $i(all_57_13) &
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & $i(all_57_15)) | (all_57_29
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & ~ (all_57_16 = e3) & ~ (all_57_18 =
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_20 = e1) & ~ (all_57_22
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_31 = e1) & op(e1,
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17) = all_57_16 & op(e1, all_57_19)
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_18 & op(e1, all_57_21) = all_57_20
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, all_57_23) = all_57_22 & op(e1, e3)
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_17 & op(e1, e2) = all_57_19 &
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_21 & op(e1, e0) =
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23 & op(e0, e1) = e0 & $i(all_57_16)
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_17) & $i(all_57_18) &
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_20) &
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_22) &
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23))))
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7448) gives:
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7449) all_57_17 = e1 & ~ (all_57_0 = e3) & ~ (all_57_2
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2) & ~ (all_57_4 = e1) & ~ (all_57_6 = e0)
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_21 = e3) & op(e3, all_57_1) =
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_0 & op(e3, all_57_3) = all_57_2 & op(e3,
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_5) = all_57_4 & op(e3, all_57_7) =
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_6 & op(e3, e3) = all_57_1 & op(e3, e2) =
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 & op(e3, e1) = all_57_5 & op(e3, e0) =
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7 & op(e1, e3) = e1 & op(e1, e1) =
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_21 & $i(all_57_0) & $i(all_57_1) &
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_2) & $i(all_57_3) & $i(all_57_4) &
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21)
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7449) implies:
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7450) op(e1, e3) = e1
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (163), (7171), (7450), (function-axioms) are
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1939.
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7451) (all_57_19 = e1 & ~ (all_57_8 = e3) & ~
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e2) & ~ (all_57_12 = e1) & ~
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e0) & ~ (all_57_21 = e2) & op(e2,
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_9) = all_57_8 & op(e2, all_57_11) =
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e2, all_57_13) = all_57_12 &
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_15) = all_57_14 & op(e2, e3) =
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_9 & op(e2, e2) = all_57_11 & op(e2, e1) =
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_13 & op(e2, e0) = all_57_15 & op(e1, e2)
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & op(e1, e1) = all_57_21 & $i(all_57_8) &
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9) & $i(all_57_10) & $i(all_57_11) &
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & $i(all_57_13) & $i(all_57_14) &
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & $i(all_57_21)) | (op(e0, e0) =
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_31 & $i(all_57_31) & ((all_57_23 = e1 &
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_21 = e0) & ~ (all_57_24 = e3) &
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_26 = e2) & ~ (all_57_28 = e1) &
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_30 = e0) & op(e1, e1) = all_57_21
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e0) = e1 & op(e0, all_57_25) =
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_24 & op(e0, all_57_27) = all_57_26 &
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_29) = all_57_28 & op(e0,
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_31) = all_57_30 & op(e0, e3) =
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_27 & op(e0,
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_29 & $i(all_57_21) &
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_24) & $i(all_57_25) &
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_27) &
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28) & $i(all_57_29) &
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_25 = e0 & ~
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_0 = e3) & ~ (all_57_2 = e2) & ~
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1) & ~ (all_57_6 = e0) & ~
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e3) & op(e3, all_57_1) =
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_0 & op(e3, all_57_3) = all_57_2 &
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, all_57_5) = all_57_4 & op(e3,
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7) = all_57_6 & op(e3, e3) =
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e2) = all_57_3 & op(e3,
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_5 & op(e3, e0) = all_57_7 &
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_0) &
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_2) & $i(all_57_3) &
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4) & $i(all_57_5) & $i(all_57_6) &
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7)) | (all_57_27 = e0 & ~
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e3) & ~ (all_57_10 = e2) & ~
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e1) & ~ (all_57_14 = e0) & ~
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e2) & op(e2, all_57_9) =
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_8 & op(e2, all_57_11) = all_57_10 &
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_13) = all_57_12 & op(e2,
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15) = all_57_14 & op(e2, e3) =
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_9 & op(e2, e2) = all_57_11 & op(e2,
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_13 & op(e2, e0) = all_57_15 &
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_8) &
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9) & $i(all_57_10) & $i(all_57_11)
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_12) & $i(all_57_13) &
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & $i(all_57_15)) | (all_57_29
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & ~ (all_57_16 = e3) & ~ (all_57_18 =
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_20 = e1) & ~ (all_57_22
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_31 = e1) & op(e1,
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17) = all_57_16 & op(e1, all_57_19)
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_18 & op(e1, all_57_21) = all_57_20
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, all_57_23) = all_57_22 & op(e1, e3)
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_17 & op(e1, e2) = all_57_19 &
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_21 & op(e1, e0) =
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23 & op(e0, e1) = e0 & $i(all_57_16)
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_17) & $i(all_57_18) &
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_20) &
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_22) &
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23))))
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7451) gives:
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.83/31.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7452) all_57_19 = e1 & ~ (all_57_8 = e3) & ~
% 197.83/31.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e2) & ~ (all_57_12 = e1) & ~
% 197.83/31.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e0) & ~ (all_57_21 = e2) & op(e2,
% 197.83/31.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_9) = all_57_8 & op(e2, all_57_11) =
% 197.83/31.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e2, all_57_13) = all_57_12 & op(e2,
% 197.83/31.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15) = all_57_14 & op(e2, e3) = all_57_9 &
% 197.83/31.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_11 & op(e2, e1) = all_57_13 &
% 197.83/31.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_15 & op(e1, e2) = e1 & op(e1,
% 197.83/31.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_21 & $i(all_57_8) & $i(all_57_9) &
% 197.83/31.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & $i(all_57_11) & $i(all_57_12) &
% 197.83/31.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13) & $i(all_57_14) & $i(all_57_15) &
% 197.83/31.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21)
% 197.83/31.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7452) implies:
% 197.83/31.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7453) ~ (all_57_14 = e0)
% 197.83/31.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7454) op(e2, e0) = all_57_15
% 197.83/31.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7455) op(e2, all_57_15) = all_57_14
% 197.83/31.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (221) gives:
% 197.83/31.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.83/31.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7456) (all_56_2 = e0 & op(e2, e3) = e0) | (all_56_3 = e0
% 197.83/31.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e0)
% 197.83/31.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7456) gives:
% 197.83/31.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.83/31.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7457) all_56_2 = e0 & op(e2, e3) = e0
% 197.83/31.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (7432), (7457) are inconsistent by sub-proof
% 197.83/31.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1879.
% 197.83/31.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.83/31.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7458) all_56_3 = e0 & op(e2, e2) = e0
% 197.83/31.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7458) implies:
% 197.83/31.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7459) op(e2, e2) = e0
% 197.83/31.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (8), (9), (45), (158), (170),
% 197.83/31.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (206), (209), (228), (376), (6471), (7126),
% 197.83/31.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7141), (7416), (7424), (7442), (7459),
% 197.83/31.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 197.83/31.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #922.
% 197.83/31.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.83/31.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.83/31.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7460) (all_56_5 = e0 & op(e2, e1) = e0) | (all_56_10 =
% 197.83/31.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0)
% 197.83/31.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7460) gives:
% 197.83/31.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.83/31.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7461) all_56_5 = e0 & op(e2, e1) = e0
% 197.83/31.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7461) implies:
% 197.83/31.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7462) op(e2, e1) = e0
% 197.83/31.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (7137), (7462), (function-axioms) are
% 197.83/31.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1852.
% 197.83/31.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.83/31.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7463) all_56_10 = e0 & op(e2, e0) = e0
% 197.83/31.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7463) implies:
% 197.83/31.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7464) op(e2, e0) = e0
% 197.83/31.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7453), (7454), (7455), (7464), (function-axioms)
% 197.83/31.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1156.
% 197.83/31.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.83/31.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.83/31.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.83/31.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7465) op(e0, e0) = all_57_31 & $i(all_57_31) &
% 197.83/31.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_23 = e1 & ~ (all_57_21 = e0) & ~
% 197.83/31.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 197.83/31.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) &
% 197.83/31.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_21 & op(e1, e0) = e1 &
% 197.83/31.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_25) = all_57_24 & op(e0,
% 197.83/31.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27) = all_57_26 & op(e0, all_57_29) =
% 197.83/31.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_28 & op(e0, all_57_31) = all_57_30 &
% 197.83/31.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_25 & op(e0, e2) =
% 197.83/31.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27 & op(e0, e1) = all_57_29 &
% 197.83/31.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_24) & $i(all_57_25)
% 197.83/31.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_26) & $i(all_57_27) &
% 197.83/31.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28) & $i(all_57_29) & $i(all_57_30))
% 197.83/31.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_25 = e0 & ~ (all_57_0 = e3) & ~
% 197.83/31.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e2) & ~ (all_57_4 = e1) & ~
% 197.83/31.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_6 = e0) & ~ (all_57_31 = e3) & op(e3,
% 197.83/31.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1) = all_57_0 & op(e3, all_57_3) =
% 197.83/31.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_2 & op(e3, all_57_5) = all_57_4 &
% 197.83/31.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, all_57_7) = all_57_6 & op(e3, e3) =
% 197.83/31.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e2) = all_57_3 & op(e3, e1)
% 197.83/31.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_5 & op(e3, e0) = all_57_7 & op(e0,
% 197.83/31.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e0 & $i(all_57_0) & $i(all_57_1) &
% 197.83/31.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_2) & $i(all_57_3) & $i(all_57_4) &
% 197.83/31.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_6) & $i(all_57_7)) |
% 197.83/31.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_27 = e0 & ~ (all_57_8 = e3) & ~
% 197.83/31.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e2) & ~ (all_57_12 = e1) & ~
% 197.83/31.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e0) & ~ (all_57_31 = e2) &
% 197.83/31.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_9) = all_57_8 & op(e2,
% 197.83/31.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_11) = all_57_10 & op(e2, all_57_13) =
% 197.83/31.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & op(e2, all_57_15) = all_57_14 &
% 197.83/31.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_9 & op(e2, e2) = all_57_11
% 197.83/31.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = all_57_13 & op(e2, e0) =
% 197.83/31.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15 & op(e0, e2) = e0 & $i(all_57_8) &
% 197.83/31.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9) & $i(all_57_10) & $i(all_57_11) &
% 197.83/31.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & $i(all_57_13) & $i(all_57_14)
% 197.83/31.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_15)) | (all_57_29 = e0 & ~
% 197.83/31.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_16 = e3) & ~ (all_57_18 = e2) & ~
% 197.83/31.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_22 = e0) & ~
% 197.83/31.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e1) & op(e1, all_57_17) =
% 197.83/31.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_16 & op(e1, all_57_19) = all_57_18 &
% 197.83/31.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_21) = all_57_20 & op(e1,
% 197.83/31.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23) = all_57_22 & op(e1, e3) =
% 197.83/31.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e1, e2) = all_57_19 & op(e1,
% 197.83/31.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_21 & op(e1, e0) = all_57_23 &
% 197.83/31.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_16) &
% 197.83/31.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_17) & $i(all_57_18) & $i(all_57_19)
% 197.83/31.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_20) & $i(all_57_21) &
% 197.83/31.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_23)))
% 197.83/31.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (158), (159), (160), (7174), (7177), (7423),
% 197.83/31.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7424), (7465), (function-axioms) are inconsistent
% 197.83/31.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1369.
% 197.83/31.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.83/31.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.83/31.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.83/31.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.83/31.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.83/31.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.83/31.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.83/31.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.83/31.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7466) (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_12 =
% 197.83/31.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e3) = e1)
% 197.83/31.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (163), (7171), (7416), (7466),
% 197.83/31.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 197.83/31.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1375.
% 197.83/31.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.83/31.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.83/31.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.83/31.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7467) all_56_13 = e3 & op(e0, e2) = e3
% 197.83/31.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7467) implies:
% 197.83/31.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7468) all_56_13 = e3
% 197.83/31.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (225), (226), (227),
% 197.83/31.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6477), (7468), (function-axioms) are inconsistent
% 197.83/31.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1660.
% 197.83/31.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.83/31.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.83/31.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7469) (all_56_14 = e3 & op(e0, e1) = e3) | (all_56_15 =
% 197.83/31.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = e3)
% 197.83/31.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (157), (7126), (7405), (7469),
% 197.83/31.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 197.83/31.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1837.
% 197.83/31.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.83/31.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.83/31.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7470) all_56_5 = e3 & op(e2, e1) = e3
% 197.83/31.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7470) implies:
% 197.83/31.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7471) op(e2, e1) = e3
% 197.83/31.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (6474), (7471), (function-axioms) are
% 197.83/31.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1861.
% 197.83/31.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.83/31.49 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.49 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.83/31.49 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | (7472) (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 =
% 197.83/31.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e1) = e3)
% 197.83/31.49 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (157), (7177), (7405), (7472),
% 197.83/31.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 197.83/31.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | #1330.
% 197.83/31.49 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.49 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.83/31.49 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.49 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.83/31.49 | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.49 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.83/31.49 | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.49 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.83/31.49 | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.49 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.83/31.49 | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.49 | | | | | | | | | | | | | | | | | | | | | | | (7473) all_54_10 = e0
% 197.83/31.49 | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.49 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (335), (372), (7473) are inconsistent by sub-proof
% 197.83/31.49 | | | | | | | | | | | | | | | | | | | | | | | #1950.
% 197.83/31.49 | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.49 | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.83/31.49 | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.49 | | | | | | | | | | | | | | | | | | | | | End of split
% 197.83/31.49 | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.49 | | | | | | | | | | | | | | | | | | | | End of split
% 197.83/31.49 | | | | | | | | | | | | | | | | | | | |
% 197.83/31.49 | | | | | | | | | | | | | | | | | | | Case 2:
% 197.83/31.49 | | | | | | | | | | | | | | | | | | | |
% 197.83/31.49 | | | | | | | | | | | | | | | | | | | | (7474) all_32_2 = e3
% 197.83/31.49 | | | | | | | | | | | | | | | | | | | |
% 197.83/31.49 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (301), (7474) imply:
% 197.83/31.49 | | | | | | | | | | | | | | | | | | | | (7475) all_4_2 = e3
% 197.83/31.49 | | | | | | | | | | | | | | | | | | | |
% 197.83/31.49 | | | | | | | | | | | | | | | | | | | | REDUCE: (349), (7475) imply:
% 197.83/31.49 | | | | | | | | | | | | | | | | | | | | (7476) ~ (all_52_2 = e3)
% 197.83/31.49 | | | | | | | | | | | | | | | | | | | |
% 197.83/31.49 | | | | | | | | | | | | | | | | | | | | REDUCE: (362), (7475) imply:
% 197.83/31.49 | | | | | | | | | | | | | | | | | | | | (7477) ~ (all_52_8 = e3)
% 197.83/31.49 | | | | | | | | | | | | | | | | | | | |
% 197.83/31.49 | | | | | | | | | | | | | | | | | | | | REDUCE: (36), (7475) imply:
% 197.83/31.49 | | | | | | | | | | | | | | | | | | | | (7478) op(e1, e1) = e3
% 197.83/31.49 | | | | | | | | | | | | | | | | | | | |
% 197.83/31.49 | | | | | | | | | | | | | | | | | | | | BETA: splitting (235) gives:
% 197.83/31.49 | | | | | | | | | | | | | | | | | | | |
% 197.83/31.49 | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.83/31.49 | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.49 | | | | | | | | | | | | | | | | | | | | | (7479) (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_2 = e3
% 197.83/31.49 | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e3)
% 197.83/31.49 | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.49 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7479) gives:
% 197.83/31.49 | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.49 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.83/31.49 | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.49 | | | | | | | | | | | | | | | | | | | | | | (7480) all_56_0 = e3 & op(e3, e3) = e3
% 197.83/31.49 | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.49 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (5144), (7480) are inconsistent by sub-proof
% 197.83/31.49 | | | | | | | | | | | | | | | | | | | | | | #1645.
% 197.83/31.49 | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.49 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.83/31.49 | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.49 | | | | | | | | | | | | | | | | | | | | | | (7481) all_56_2 = e3 & op(e2, e3) = e3
% 197.83/31.49 | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.49 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5128), (6476), (7481), (function-axioms) are
% 197.83/31.49 | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #934.
% 197.83/31.49 | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.49 | | | | | | | | | | | | | | | | | | | | | End of split
% 197.83/31.49 | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.49 | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.83/31.49 | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.49 | | | | | | | | | | | | | | | | | | | | | (7482) (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_12 =
% 197.83/31.49 | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e3) = e3)
% 197.83/31.49 | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.49 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7482) gives:
% 197.83/31.49 | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.49 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.83/31.49 | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.49 | | | | | | | | | | | | | | | | | | | | | | (7483) all_56_6 = e3 & op(e1, e3) = e3
% 197.83/31.49 | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.49 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (163), (7476), (7483), (function-axioms) are
% 197.83/31.49 | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1396.
% 197.83/31.49 | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.49 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.83/31.49 | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.49 | | | | | | | | | | | | | | | | | | | | | | (7484) all_56_12 = e3 & op(e0, e3) = e3
% 197.83/31.49 | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.49 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7484) implies:
% 197.83/31.49 | | | | | | | | | | | | | | | | | | | | | | (7485) op(e0, e3) = e3
% 197.83/31.49 | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.49 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_3, e3,
% 197.83/31.49 | | | | | | | | | | | | | | | | | | | | | | e3, e0, simplifying with (159), (7485) gives:
% 197.83/31.49 | | | | | | | | | | | | | | | | | | | | | | (7486) all_52_3 = e3
% 197.83/31.49 | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.49 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (238) gives:
% 197.83/31.49 | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.49 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.83/31.49 | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.49 | | | | | | | | | | | | | | | | | | | | | | | (7487) (all_57_3 = e3 & ~ (all_57_1 = e2) & ~ (all_57_8
% 197.83/31.49 | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_10 = e2) & ~ (all_57_12 =
% 197.83/31.49 | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_14 = e0) & op(e3, e3) =
% 197.83/31.49 | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e2) = e3 & op(e2, all_57_9) =
% 197.83/31.49 | | | | | | | | | | | | | | | | | | | | | | | all_57_8 & op(e2, all_57_11) = all_57_10 &
% 197.83/31.49 | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_13) = all_57_12 & op(e2,
% 197.83/31.49 | | | | | | | | | | | | | | | | | | | | | | | all_57_15) = all_57_14 & op(e2, e3) = all_57_9
% 197.83/31.49 | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = all_57_11 & op(e2, e1) =
% 197.83/31.49 | | | | | | | | | | | | | | | | | | | | | | | all_57_13 & op(e2, e0) = all_57_15 &
% 197.83/31.49 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_8) & $i(all_57_9) &
% 197.83/31.49 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & $i(all_57_11) & $i(all_57_12) &
% 197.83/31.49 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13) & $i(all_57_14) & $i(all_57_15)) |
% 197.83/31.49 | | | | | | | | | | | | | | | | | | | | | | | (all_57_5 = e3 & ~ (all_57_1 = e1) & ~
% 197.83/31.49 | | | | | | | | | | | | | | | | | | | | | | | (all_57_16 = e3) & ~ (all_57_18 = e2) & ~
% 197.83/31.49 | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_22 = e0) & op(e3,
% 197.83/31.49 | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_1 & op(e3, e1) = e3 & op(e1,
% 197.83/31.49 | | | | | | | | | | | | | | | | | | | | | | | all_57_17) = all_57_16 & op(e1, all_57_19) =
% 197.83/31.49 | | | | | | | | | | | | | | | | | | | | | | | all_57_18 & op(e1, all_57_21) = all_57_20 &
% 197.83/31.49 | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_23) = all_57_22 & op(e1, e3) =
% 197.83/31.49 | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e1, e2) = all_57_19 & op(e1, e1)
% 197.83/31.49 | | | | | | | | | | | | | | | | | | | | | | | = all_57_21 & op(e1, e0) = all_57_23 &
% 197.83/31.49 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_16) & $i(all_57_17) &
% 197.83/31.49 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_19) & $i(all_57_20) &
% 197.83/31.49 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_22) & $i(all_57_23)) |
% 197.83/31.49 | | | | | | | | | | | | | | | | | | | | | | | (all_57_7 = e3 & ~ (all_57_1 = e0) & ~
% 197.83/31.49 | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 197.83/31.49 | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) & op(e3,
% 197.83/31.49 | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_1 & op(e3, e0) = e3 & op(e0,
% 197.83/31.49 | | | | | | | | | | | | | | | | | | | | | | | all_57_25) = all_57_24 & op(e0, all_57_27) =
% 197.83/31.49 | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e0, all_57_29) = all_57_28 &
% 197.83/31.49 | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_31) = all_57_30 & op(e0, e3) =
% 197.83/31.49 | | | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_27 & op(e0, e1)
% 197.83/31.49 | | | | | | | | | | | | | | | | | | | | | | | = all_57_29 & op(e0, e0) = all_57_31 &
% 197.83/31.49 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_24) & $i(all_57_25) &
% 197.83/31.49 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_27) & $i(all_57_28) &
% 197.83/31.49 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29) & $i(all_57_30) & $i(all_57_31)) |
% 197.83/31.49 | | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e2 & ~ (all_57_0 = e3) & ~ (all_57_2
% 197.83/31.49 | | | | | | | | | | | | | | | | | | | | | | | = e2) & ~ (all_57_4 = e1) & ~ (all_57_6 =
% 197.83/31.49 | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_11 = e3) & op(e3, all_57_1) =
% 197.83/31.49 | | | | | | | | | | | | | | | | | | | | | | | all_57_0 & op(e3, all_57_3) = all_57_2 & op(e3,
% 197.83/31.49 | | | | | | | | | | | | | | | | | | | | | | | all_57_5) = all_57_4 & op(e3, all_57_7) =
% 197.83/31.49 | | | | | | | | | | | | | | | | | | | | | | | all_57_6 & op(e3, e3) = all_57_1 & op(e3, e2) =
% 197.83/31.49 | | | | | | | | | | | | | | | | | | | | | | | all_57_3 & op(e3, e1) = all_57_5 & op(e3, e0) =
% 197.83/31.49 | | | | | | | | | | | | | | | | | | | | | | | all_57_7 & op(e2, e3) = e2 & op(e2, e2) =
% 197.83/31.49 | | | | | | | | | | | | | | | | | | | | | | | all_57_11 & $i(all_57_0) & $i(all_57_1) &
% 197.83/31.49 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_2) & $i(all_57_3) & $i(all_57_4) &
% 197.83/31.49 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 197.83/31.49 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11))
% 197.83/31.49 | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.49 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7487) gives:
% 197.83/31.49 | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.49 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.83/31.49 | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.49 | | | | | | | | | | | | | | | | | | | | | | | | (7488) (all_57_3 = e3 & ~ (all_57_1 = e2) & ~ (all_57_8
% 197.83/31.49 | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_10 = e2) & ~ (all_57_12 =
% 197.83/31.49 | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_14 = e0) & op(e3, e3) =
% 197.83/31.49 | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e2) = e3 & op(e2, all_57_9) =
% 197.83/31.49 | | | | | | | | | | | | | | | | | | | | | | | | all_57_8 & op(e2, all_57_11) = all_57_10 &
% 197.83/31.49 | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_13) = all_57_12 & op(e2,
% 197.83/31.49 | | | | | | | | | | | | | | | | | | | | | | | | all_57_15) = all_57_14 & op(e2, e3) = all_57_9
% 197.83/31.49 | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = all_57_11 & op(e2, e1) =
% 197.83/31.49 | | | | | | | | | | | | | | | | | | | | | | | | all_57_13 & op(e2, e0) = all_57_15 &
% 197.83/31.49 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_8) & $i(all_57_9) &
% 197.83/31.49 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & $i(all_57_11) & $i(all_57_12) &
% 197.83/31.49 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13) & $i(all_57_14) & $i(all_57_15)) |
% 197.83/31.49 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_5 = e3 & ~ (all_57_1 = e1) & ~
% 197.83/31.49 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_16 = e3) & ~ (all_57_18 = e2) & ~
% 197.83/31.49 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_22 = e0) & op(e3,
% 197.83/31.49 | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_1 & op(e3, e1) = e3 & op(e1,
% 197.83/31.49 | | | | | | | | | | | | | | | | | | | | | | | | all_57_17) = all_57_16 & op(e1, all_57_19) =
% 197.83/31.49 | | | | | | | | | | | | | | | | | | | | | | | | all_57_18 & op(e1, all_57_21) = all_57_20 &
% 197.83/31.49 | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_23) = all_57_22 & op(e1, e3) =
% 197.83/31.49 | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e1, e2) = all_57_19 & op(e1, e1)
% 197.83/31.49 | | | | | | | | | | | | | | | | | | | | | | | | = all_57_21 & op(e1, e0) = all_57_23 &
% 197.83/31.49 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_16) & $i(all_57_17) &
% 197.83/31.49 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_19) & $i(all_57_20) &
% 197.83/31.49 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_22) & $i(all_57_23))
% 197.83/31.49 | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.49 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (169), (170), (6471), (7477), (7488),
% 197.83/31.49 | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 197.83/31.49 | | | | | | | | | | | | | | | | | | | | | | | | #1929.
% 197.83/31.49 | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.49 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.83/31.49 | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.49 | | | | | | | | | | | | | | | | | | | | | | | | (7489) (all_57_7 = e3 & ~ (all_57_1 = e0) & ~
% 197.83/31.49 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 197.83/31.49 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) & op(e3,
% 197.83/31.49 | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_1 & op(e3, e0) = e3 & op(e0,
% 197.83/31.49 | | | | | | | | | | | | | | | | | | | | | | | | all_57_25) = all_57_24 & op(e0, all_57_27) =
% 197.83/31.49 | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e0, all_57_29) = all_57_28 &
% 197.83/31.49 | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_31) = all_57_30 & op(e0, e3) =
% 197.83/31.49 | | | | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_27 & op(e0, e1)
% 197.83/31.49 | | | | | | | | | | | | | | | | | | | | | | | | = all_57_29 & op(e0, e0) = all_57_31 &
% 197.83/31.49 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_24) & $i(all_57_25) &
% 197.83/31.49 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_27) & $i(all_57_28) &
% 197.83/31.49 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29) & $i(all_57_30) & $i(all_57_31)) |
% 197.83/31.49 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e2 & ~ (all_57_0 = e3) & ~ (all_57_2
% 197.83/31.49 | | | | | | | | | | | | | | | | | | | | | | | | = e2) & ~ (all_57_4 = e1) & ~ (all_57_6 =
% 197.83/31.49 | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_11 = e3) & op(e3, all_57_1) =
% 197.83/31.49 | | | | | | | | | | | | | | | | | | | | | | | | all_57_0 & op(e3, all_57_3) = all_57_2 & op(e3,
% 197.83/31.49 | | | | | | | | | | | | | | | | | | | | | | | | all_57_5) = all_57_4 & op(e3, all_57_7) =
% 197.83/31.49 | | | | | | | | | | | | | | | | | | | | | | | | all_57_6 & op(e3, e3) = all_57_1 & op(e3, e2) =
% 197.83/31.49 | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 & op(e3, e1) = all_57_5 & op(e3, e0) =
% 197.83/31.49 | | | | | | | | | | | | | | | | | | | | | | | | all_57_7 & op(e2, e3) = e2 & op(e2, e2) =
% 197.83/31.49 | | | | | | | | | | | | | | | | | | | | | | | | all_57_11 & $i(all_57_0) & $i(all_57_1) &
% 197.83/31.49 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_2) & $i(all_57_3) & $i(all_57_4) &
% 197.83/31.49 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 197.83/31.49 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11))
% 197.83/31.49 | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.49 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (167), (5131), (7485), (7489), (function-axioms)
% 197.83/31.49 | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1628.
% 197.83/31.49 | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.49 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.83/31.49 | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.49 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.83/31.49 | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.49 | | | | | | | | | | | | | | | | | | | | | | | (7490) (all_57_13 = e2 & ~ (all_57_11 = e1) & ~
% 197.83/31.49 | | | | | | | | | | | | | | | | | | | | | | | (all_57_16 = e3) & ~ (all_57_18 = e2) & ~
% 197.83/31.49 | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_22 = e0) & op(e2,
% 197.83/31.49 | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_11 & op(e2, e1) = e2 & op(e1,
% 197.83/31.49 | | | | | | | | | | | | | | | | | | | | | | | all_57_17) = all_57_16 & op(e1, all_57_19) =
% 197.83/31.49 | | | | | | | | | | | | | | | | | | | | | | | all_57_18 & op(e1, all_57_21) = all_57_20 &
% 197.83/31.49 | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_23) = all_57_22 & op(e1, e3) =
% 197.83/31.49 | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e1, e2) = all_57_19 & op(e1, e1)
% 197.83/31.49 | | | | | | | | | | | | | | | | | | | | | | | = all_57_21 & op(e1, e0) = all_57_23 &
% 197.83/31.49 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_16) & $i(all_57_17) &
% 197.83/31.49 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_19) & $i(all_57_20) &
% 197.83/31.49 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_22) & $i(all_57_23)) |
% 197.83/31.49 | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e2 & ~ (all_57_11 = e0) & ~
% 197.83/31.49 | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 197.83/31.49 | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) & op(e2,
% 197.83/31.49 | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_11 & op(e2, e0) = e2 & op(e0,
% 197.83/31.49 | | | | | | | | | | | | | | | | | | | | | | | all_57_25) = all_57_24 & op(e0, all_57_27) =
% 197.83/31.49 | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e0, all_57_29) = all_57_28 &
% 197.83/31.49 | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_31) = all_57_30 & op(e0, e3) =
% 197.83/31.49 | | | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_27 & op(e0, e1)
% 197.83/31.49 | | | | | | | | | | | | | | | | | | | | | | | = all_57_29 & op(e0, e0) = all_57_31 &
% 197.83/31.49 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_24) & $i(all_57_25) &
% 197.83/31.49 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_27) & $i(all_57_28) &
% 197.83/31.49 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29) & $i(all_57_30) & $i(all_57_31)) |
% 197.83/31.49 | | | | | | | | | | | | | | | | | | | | | | | (all_57_17 = e1 & ~ (all_57_0 = e3) & ~
% 197.83/31.49 | | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e2) & ~ (all_57_4 = e1) & ~
% 197.83/31.49 | | | | | | | | | | | | | | | | | | | | | | | (all_57_6 = e0) & ~ (all_57_21 = e3) & op(e3,
% 197.83/31.49 | | | | | | | | | | | | | | | | | | | | | | | all_57_1) = all_57_0 & op(e3, all_57_3) =
% 197.83/31.49 | | | | | | | | | | | | | | | | | | | | | | | all_57_2 & op(e3, all_57_5) = all_57_4 & op(e3,
% 197.83/31.49 | | | | | | | | | | | | | | | | | | | | | | | all_57_7) = all_57_6 & op(e3, e3) = all_57_1 &
% 197.83/31.49 | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_3 & op(e3, e1) = all_57_5 &
% 197.83/31.49 | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_7 & op(e1, e3) = e1 & op(e1,
% 197.83/31.49 | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_21 & $i(all_57_0) & $i(all_57_1)
% 197.83/31.49 | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_2) & $i(all_57_3) & $i(all_57_4) &
% 197.83/31.49 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 197.83/31.49 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21)) | (all_57_19 = e1 & ~ (all_57_8
% 197.83/31.49 | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_10 = e2) & ~ (all_57_12 =
% 197.83/31.49 | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_14 = e0) & ~ (all_57_21 =
% 197.83/31.49 | | | | | | | | | | | | | | | | | | | | | | | e2) & op(e2, all_57_9) = all_57_8 & op(e2,
% 197.83/31.49 | | | | | | | | | | | | | | | | | | | | | | | all_57_11) = all_57_10 & op(e2, all_57_13) =
% 197.83/31.49 | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & op(e2, all_57_15) = all_57_14 &
% 197.83/31.49 | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_9 & op(e2, e2) = all_57_11 &
% 197.83/31.49 | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_57_13 & op(e2, e0) = all_57_15
% 197.83/31.49 | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e1 & op(e1, e1) = all_57_21 &
% 197.83/31.49 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8) & $i(all_57_9) & $i(all_57_10) &
% 197.83/31.49 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_12) & $i(all_57_13) &
% 197.83/31.49 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & $i(all_57_15) & $i(all_57_21)) |
% 197.83/31.49 | | | | | | | | | | | | | | | | | | | | | | | (op(e0, e0) = all_57_31 & $i(all_57_31) &
% 197.83/31.49 | | | | | | | | | | | | | | | | | | | | | | | ((all_57_23 = e1 & ~ (all_57_21 = e0) & ~
% 197.83/31.49 | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 197.83/31.49 | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) &
% 197.83/31.49 | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_21 & op(e1, e0) = e1 &
% 197.83/31.49 | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_25) = all_57_24 & op(e0,
% 197.83/31.49 | | | | | | | | | | | | | | | | | | | | | | | all_57_27) = all_57_26 & op(e0, all_57_29)
% 197.83/31.49 | | | | | | | | | | | | | | | | | | | | | | | = all_57_28 & op(e0, all_57_31) = all_57_30
% 197.83/31.49 | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e3) = all_57_25 & op(e0, e2) =
% 197.83/31.49 | | | | | | | | | | | | | | | | | | | | | | | all_57_27 & op(e0, e1) = all_57_29 &
% 197.83/31.49 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_24) &
% 197.83/31.49 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_25) & $i(all_57_26) &
% 197.83/31.49 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27) & $i(all_57_28) &
% 197.83/31.49 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29) & $i(all_57_30)) | (all_57_25
% 197.83/31.49 | | | | | | | | | | | | | | | | | | | | | | | = e0 & ~ (all_57_0 = e3) & ~ (all_57_2 =
% 197.83/31.49 | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_4 = e1) & ~ (all_57_6 =
% 197.83/31.49 | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_31 = e3) & op(e3,
% 197.83/31.49 | | | | | | | | | | | | | | | | | | | | | | | all_57_1) = all_57_0 & op(e3, all_57_3) =
% 197.83/31.49 | | | | | | | | | | | | | | | | | | | | | | | all_57_2 & op(e3, all_57_5) = all_57_4 &
% 197.83/31.49 | | | | | | | | | | | | | | | | | | | | | | | op(e3, all_57_7) = all_57_6 & op(e3, e3) =
% 197.83/31.49 | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e2) = all_57_3 & op(e3,
% 197.83/31.49 | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_5 & op(e3, e0) = all_57_7 &
% 197.83/31.49 | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_0) &
% 197.83/31.49 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_2) & $i(all_57_3) &
% 197.83/31.49 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4) & $i(all_57_5) & $i(all_57_6) &
% 197.83/31.49 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7)) | (all_57_27 = e0 & ~
% 197.83/31.49 | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e3) & ~ (all_57_10 = e2) & ~
% 197.83/31.49 | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e1) & ~ (all_57_14 = e0) & ~
% 197.83/31.49 | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e2) & op(e2, all_57_9) =
% 197.83/31.49 | | | | | | | | | | | | | | | | | | | | | | | all_57_8 & op(e2, all_57_11) = all_57_10 &
% 197.83/31.49 | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_13) = all_57_12 & op(e2,
% 197.83/31.49 | | | | | | | | | | | | | | | | | | | | | | | all_57_15) = all_57_14 & op(e2, e3) =
% 197.83/31.49 | | | | | | | | | | | | | | | | | | | | | | | all_57_9 & op(e2, e2) = all_57_11 & op(e2,
% 197.83/31.49 | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_13 & op(e2, e0) = all_57_15 &
% 197.83/31.49 | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_8) &
% 197.83/31.49 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9) & $i(all_57_10) & $i(all_57_11)
% 197.83/31.49 | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_12) & $i(all_57_13) &
% 197.83/31.49 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & $i(all_57_15)) | (all_57_29
% 197.83/31.49 | | | | | | | | | | | | | | | | | | | | | | | = e0 & ~ (all_57_16 = e3) & ~ (all_57_18 =
% 197.83/31.49 | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_20 = e1) & ~ (all_57_22
% 197.83/31.49 | | | | | | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_31 = e1) & op(e1,
% 197.83/31.49 | | | | | | | | | | | | | | | | | | | | | | | all_57_17) = all_57_16 & op(e1, all_57_19)
% 197.83/31.49 | | | | | | | | | | | | | | | | | | | | | | | = all_57_18 & op(e1, all_57_21) = all_57_20
% 197.83/31.49 | | | | | | | | | | | | | | | | | | | | | | | & op(e1, all_57_23) = all_57_22 & op(e1, e3)
% 197.83/31.49 | | | | | | | | | | | | | | | | | | | | | | | = all_57_17 & op(e1, e2) = all_57_19 &
% 197.83/31.49 | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_21 & op(e1, e0) =
% 197.83/31.49 | | | | | | | | | | | | | | | | | | | | | | | all_57_23 & op(e0, e1) = e0 & $i(all_57_16)
% 197.83/31.49 | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_17) & $i(all_57_18) &
% 197.83/31.49 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_20) &
% 197.83/31.49 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_22) &
% 197.83/31.49 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23))))
% 197.83/31.49 | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.49 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7490) gives:
% 197.83/31.49 | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.49 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.83/31.49 | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.49 | | | | | | | | | | | | | | | | | | | | | | | | (7491) (all_57_13 = e2 & ~ (all_57_11 = e1) & ~
% 197.83/31.49 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_16 = e3) & ~ (all_57_18 = e2) & ~
% 197.83/31.49 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_22 = e0) & op(e2,
% 197.83/31.49 | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_11 & op(e2, e1) = e2 & op(e1,
% 197.83/31.49 | | | | | | | | | | | | | | | | | | | | | | | | all_57_17) = all_57_16 & op(e1, all_57_19) =
% 197.83/31.49 | | | | | | | | | | | | | | | | | | | | | | | | all_57_18 & op(e1, all_57_21) = all_57_20 &
% 197.83/31.49 | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_23) = all_57_22 & op(e1, e3) =
% 197.83/31.49 | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e1, e2) = all_57_19 & op(e1, e1)
% 197.83/31.49 | | | | | | | | | | | | | | | | | | | | | | | | = all_57_21 & op(e1, e0) = all_57_23 &
% 197.83/31.49 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_16) & $i(all_57_17) &
% 197.83/31.49 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_19) & $i(all_57_20) &
% 197.83/31.49 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_22) & $i(all_57_23)) |
% 197.83/31.49 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e2 & ~ (all_57_11 = e0) & ~
% 197.83/31.49 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 197.83/31.49 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) & op(e2,
% 197.83/31.49 | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_11 & op(e2, e0) = e2 & op(e0,
% 197.83/31.49 | | | | | | | | | | | | | | | | | | | | | | | | all_57_25) = all_57_24 & op(e0, all_57_27) =
% 197.83/31.49 | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e0, all_57_29) = all_57_28 &
% 197.83/31.49 | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_31) = all_57_30 & op(e0, e3) =
% 197.83/31.49 | | | | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_27 & op(e0, e1)
% 197.83/31.49 | | | | | | | | | | | | | | | | | | | | | | | | = all_57_29 & op(e0, e0) = all_57_31 &
% 197.83/31.49 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_24) & $i(all_57_25) &
% 197.83/31.49 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_27) & $i(all_57_28) &
% 197.83/31.49 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29) & $i(all_57_30) & $i(all_57_31))
% 197.83/31.49 | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.49 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7491) gives:
% 197.83/31.49 | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.49 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.83/31.49 | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.49 | | | | | | | | | | | | | | | | | | | | | | | | | (7492) all_57_13 = e2 & ~ (all_57_11 = e1) & ~
% 197.83/31.49 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_16 = e3) & ~ (all_57_18 = e2) & ~
% 197.83/31.49 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_22 = e0) & op(e2,
% 197.83/31.49 | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_11 & op(e2, e1) = e2 & op(e1,
% 197.83/31.49 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17) = all_57_16 & op(e1, all_57_19) =
% 197.83/31.49 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_18 & op(e1, all_57_21) = all_57_20 & op(e1,
% 197.83/31.49 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23) = all_57_22 & op(e1, e3) = all_57_17
% 197.83/31.49 | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = all_57_19 & op(e1, e1) = all_57_21
% 197.83/31.49 | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e0) = all_57_23 & $i(all_57_11) &
% 197.83/31.49 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_16) & $i(all_57_17) & $i(all_57_18) &
% 197.83/31.49 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_20) & $i(all_57_21) &
% 197.83/31.49 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_23)
% 197.83/31.49 | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.49 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7492) implies:
% 197.83/31.49 | | | | | | | | | | | | | | | | | | | | | | | | | (7493) ~ (all_57_18 = e2)
% 197.83/31.49 | | | | | | | | | | | | | | | | | | | | | | | | | (7494) op(e1, e2) = all_57_19
% 197.83/31.49 | | | | | | | | | | | | | | | | | | | | | | | | | (7495) op(e1, all_57_19) = all_57_18
% 197.83/31.49 | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.49 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7142), (7493), (7494), (7495), (function-axioms)
% 197.83/31.49 | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1437.
% 197.83/31.49 | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.49 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.83/31.49 | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.49 | | | | | | | | | | | | | | | | | | | | | | | | | (7496) all_57_15 = e2 & ~ (all_57_11 = e0) & ~
% 197.83/31.49 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 197.83/31.49 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) & op(e2,
% 197.83/31.49 | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_11 & op(e2, e0) = e2 & op(e0,
% 197.83/31.49 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25) = all_57_24 & op(e0, all_57_27) =
% 197.83/31.49 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e0, all_57_29) = all_57_28 & op(e0,
% 197.83/31.49 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_31) = all_57_30 & op(e0, e3) = all_57_25
% 197.83/31.49 | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e2) = all_57_27 & op(e0, e1) = all_57_29
% 197.83/31.49 | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = all_57_31 & $i(all_57_11) &
% 197.83/31.49 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_24) & $i(all_57_25) & $i(all_57_26) &
% 197.83/31.49 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27) & $i(all_57_28) & $i(all_57_29) &
% 197.83/31.49 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30) & $i(all_57_31)
% 197.83/31.49 | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.49 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7496) implies:
% 197.83/31.49 | | | | | | | | | | | | | | | | | | | | | | | | | (7497) ~ (all_57_24 = e3)
% 197.83/31.49 | | | | | | | | | | | | | | | | | | | | | | | | | (7498) op(e0, e3) = all_57_25
% 197.83/31.49 | | | | | | | | | | | | | | | | | | | | | | | | | (7499) op(e0, all_57_25) = all_57_24
% 197.83/31.49 | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.49 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7485), (7497), (7498), (7499), (function-axioms)
% 197.83/31.49 | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1630.
% 197.83/31.49 | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.49 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.83/31.49 | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.49 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.83/31.49 | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.50 | | | | | | | | | | | | | | | | | | | | | | | | (7500) (all_57_17 = e1 & ~ (all_57_0 = e3) & ~
% 197.83/31.50 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e2) & ~ (all_57_4 = e1) & ~
% 197.83/31.50 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_6 = e0) & ~ (all_57_21 = e3) & op(e3,
% 197.83/31.50 | | | | | | | | | | | | | | | | | | | | | | | | all_57_1) = all_57_0 & op(e3, all_57_3) =
% 197.83/31.50 | | | | | | | | | | | | | | | | | | | | | | | | all_57_2 & op(e3, all_57_5) = all_57_4 & op(e3,
% 197.83/31.50 | | | | | | | | | | | | | | | | | | | | | | | | all_57_7) = all_57_6 & op(e3, e3) = all_57_1 &
% 197.83/31.50 | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_3 & op(e3, e1) = all_57_5 &
% 197.83/31.50 | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_7 & op(e1, e3) = e1 & op(e1,
% 197.83/31.50 | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_21 & $i(all_57_0) & $i(all_57_1)
% 197.83/31.50 | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_2) & $i(all_57_3) & $i(all_57_4) &
% 197.83/31.50 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 197.83/31.50 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21)) | (all_57_19 = e1 & ~ (all_57_8
% 197.83/31.50 | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_10 = e2) & ~ (all_57_12 =
% 197.83/31.50 | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_14 = e0) & ~ (all_57_21 =
% 197.83/31.50 | | | | | | | | | | | | | | | | | | | | | | | | e2) & op(e2, all_57_9) = all_57_8 & op(e2,
% 197.83/31.50 | | | | | | | | | | | | | | | | | | | | | | | | all_57_11) = all_57_10 & op(e2, all_57_13) =
% 197.83/31.50 | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & op(e2, all_57_15) = all_57_14 &
% 197.83/31.50 | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_9 & op(e2, e2) = all_57_11 &
% 197.83/31.50 | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_57_13 & op(e2, e0) = all_57_15
% 197.83/31.50 | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e1 & op(e1, e1) = all_57_21 &
% 197.83/31.50 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8) & $i(all_57_9) & $i(all_57_10) &
% 197.83/31.50 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_12) & $i(all_57_13) &
% 197.83/31.50 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & $i(all_57_15) & $i(all_57_21)) |
% 197.83/31.50 | | | | | | | | | | | | | | | | | | | | | | | | (op(e0, e0) = all_57_31 & $i(all_57_31) &
% 197.83/31.50 | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_23 = e1 & ~ (all_57_21 = e0) & ~
% 197.83/31.50 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 197.83/31.50 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) &
% 197.83/31.50 | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_21 & op(e1, e0) = e1 &
% 197.83/31.50 | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_25) = all_57_24 & op(e0,
% 197.83/31.50 | | | | | | | | | | | | | | | | | | | | | | | | all_57_27) = all_57_26 & op(e0, all_57_29)
% 197.83/31.50 | | | | | | | | | | | | | | | | | | | | | | | | = all_57_28 & op(e0, all_57_31) = all_57_30
% 197.83/31.50 | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e3) = all_57_25 & op(e0, e2) =
% 197.83/31.50 | | | | | | | | | | | | | | | | | | | | | | | | all_57_27 & op(e0, e1) = all_57_29 &
% 197.83/31.50 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_24) &
% 197.83/31.50 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_25) & $i(all_57_26) &
% 197.83/31.50 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27) & $i(all_57_28) &
% 197.83/31.50 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29) & $i(all_57_30)) | (all_57_25
% 197.83/31.50 | | | | | | | | | | | | | | | | | | | | | | | | = e0 & ~ (all_57_0 = e3) & ~ (all_57_2 =
% 197.83/31.50 | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_4 = e1) & ~ (all_57_6 =
% 197.83/31.50 | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_31 = e3) & op(e3,
% 197.83/31.50 | | | | | | | | | | | | | | | | | | | | | | | | all_57_1) = all_57_0 & op(e3, all_57_3) =
% 197.83/31.50 | | | | | | | | | | | | | | | | | | | | | | | | all_57_2 & op(e3, all_57_5) = all_57_4 &
% 197.83/31.50 | | | | | | | | | | | | | | | | | | | | | | | | op(e3, all_57_7) = all_57_6 & op(e3, e3) =
% 197.83/31.50 | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e2) = all_57_3 & op(e3,
% 197.83/31.50 | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_5 & op(e3, e0) = all_57_7 &
% 197.83/31.50 | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_0) &
% 197.83/31.50 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_2) & $i(all_57_3) &
% 197.83/31.50 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4) & $i(all_57_5) & $i(all_57_6) &
% 197.83/31.50 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7)) | (all_57_27 = e0 & ~
% 197.83/31.50 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e3) & ~ (all_57_10 = e2) & ~
% 197.83/31.50 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e1) & ~ (all_57_14 = e0) & ~
% 197.83/31.50 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e2) & op(e2, all_57_9) =
% 197.83/31.50 | | | | | | | | | | | | | | | | | | | | | | | | all_57_8 & op(e2, all_57_11) = all_57_10 &
% 197.83/31.50 | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_13) = all_57_12 & op(e2,
% 197.83/31.50 | | | | | | | | | | | | | | | | | | | | | | | | all_57_15) = all_57_14 & op(e2, e3) =
% 197.83/31.50 | | | | | | | | | | | | | | | | | | | | | | | | all_57_9 & op(e2, e2) = all_57_11 & op(e2,
% 197.83/31.50 | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_13 & op(e2, e0) = all_57_15 &
% 197.83/31.50 | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_8) &
% 197.83/31.50 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9) & $i(all_57_10) & $i(all_57_11)
% 197.83/31.50 | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_12) & $i(all_57_13) &
% 197.83/31.50 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & $i(all_57_15)) | (all_57_29
% 197.83/31.50 | | | | | | | | | | | | | | | | | | | | | | | | = e0 & ~ (all_57_16 = e3) & ~ (all_57_18 =
% 197.83/31.50 | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_20 = e1) & ~ (all_57_22
% 197.83/31.50 | | | | | | | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_31 = e1) & op(e1,
% 197.83/31.50 | | | | | | | | | | | | | | | | | | | | | | | | all_57_17) = all_57_16 & op(e1, all_57_19)
% 197.83/31.50 | | | | | | | | | | | | | | | | | | | | | | | | = all_57_18 & op(e1, all_57_21) = all_57_20
% 197.83/31.50 | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, all_57_23) = all_57_22 & op(e1, e3)
% 197.83/31.50 | | | | | | | | | | | | | | | | | | | | | | | | = all_57_17 & op(e1, e2) = all_57_19 &
% 197.83/31.50 | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_21 & op(e1, e0) =
% 197.83/31.50 | | | | | | | | | | | | | | | | | | | | | | | | all_57_23 & op(e0, e1) = e0 & $i(all_57_16)
% 197.83/31.50 | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_17) & $i(all_57_18) &
% 197.83/31.50 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_20) &
% 197.83/31.50 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_22) &
% 197.83/31.50 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23))))
% 197.83/31.50 | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.50 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7500) gives:
% 197.83/31.50 | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.50 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.83/31.50 | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.50 | | | | | | | | | | | | | | | | | | | | | | | | | (7501) all_57_17 = e1 & ~ (all_57_0 = e3) & ~ (all_57_2
% 197.83/31.50 | | | | | | | | | | | | | | | | | | | | | | | | | = e2) & ~ (all_57_4 = e1) & ~ (all_57_6 = e0)
% 197.83/31.50 | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_21 = e3) & op(e3, all_57_1) =
% 197.83/31.50 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_0 & op(e3, all_57_3) = all_57_2 & op(e3,
% 197.83/31.50 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_5) = all_57_4 & op(e3, all_57_7) =
% 197.83/31.50 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_6 & op(e3, e3) = all_57_1 & op(e3, e2) =
% 197.83/31.50 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 & op(e3, e1) = all_57_5 & op(e3, e0) =
% 197.83/31.50 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7 & op(e1, e3) = e1 & op(e1, e1) =
% 197.83/31.50 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_21 & $i(all_57_0) & $i(all_57_1) &
% 197.83/31.50 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_2) & $i(all_57_3) & $i(all_57_4) &
% 197.83/31.50 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 197.83/31.50 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21)
% 197.83/31.50 | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.50 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7478), (7501), (function-axioms) are inconsistent
% 197.83/31.50 | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1926.
% 197.83/31.50 | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.50 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.83/31.50 | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.50 | | | | | | | | | | | | | | | | | | | | | | | | | (7502) (all_57_19 = e1 & ~ (all_57_8 = e3) & ~
% 197.83/31.50 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e2) & ~ (all_57_12 = e1) & ~
% 197.83/31.50 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e0) & ~ (all_57_21 = e2) & op(e2,
% 197.83/31.50 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_9) = all_57_8 & op(e2, all_57_11) =
% 197.83/31.50 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e2, all_57_13) = all_57_12 &
% 197.83/31.50 | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_15) = all_57_14 & op(e2, e3) =
% 197.83/31.50 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_9 & op(e2, e2) = all_57_11 & op(e2, e1) =
% 197.83/31.50 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_13 & op(e2, e0) = all_57_15 & op(e1, e2)
% 197.83/31.50 | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & op(e1, e1) = all_57_21 & $i(all_57_8) &
% 197.83/31.50 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9) & $i(all_57_10) & $i(all_57_11) &
% 197.83/31.50 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & $i(all_57_13) & $i(all_57_14) &
% 197.83/31.50 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & $i(all_57_21)) | (op(e0, e0) =
% 197.83/31.50 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_31 & $i(all_57_31) & ((all_57_23 = e1 &
% 197.83/31.50 | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_21 = e0) & ~ (all_57_24 = e3) &
% 197.83/31.50 | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_26 = e2) & ~ (all_57_28 = e1) &
% 197.83/31.50 | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_30 = e0) & op(e1, e1) = all_57_21
% 197.83/31.50 | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e0) = e1 & op(e0, all_57_25) =
% 197.83/31.50 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_24 & op(e0, all_57_27) = all_57_26 &
% 197.83/31.50 | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_29) = all_57_28 & op(e0,
% 197.83/31.50 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_31) = all_57_30 & op(e0, e3) =
% 197.83/31.50 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_27 & op(e0,
% 197.83/31.50 | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_29 & $i(all_57_21) &
% 197.83/31.50 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_24) & $i(all_57_25) &
% 197.83/31.50 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_27) &
% 197.83/31.50 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28) & $i(all_57_29) &
% 197.83/31.50 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_25 = e0 & ~
% 197.83/31.50 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_0 = e3) & ~ (all_57_2 = e2) & ~
% 197.83/31.50 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1) & ~ (all_57_6 = e0) & ~
% 197.83/31.50 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e3) & op(e3, all_57_1) =
% 197.83/31.50 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_0 & op(e3, all_57_3) = all_57_2 &
% 197.83/31.50 | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, all_57_5) = all_57_4 & op(e3,
% 197.83/31.50 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7) = all_57_6 & op(e3, e3) =
% 197.83/31.50 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e2) = all_57_3 & op(e3,
% 197.83/31.50 | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_5 & op(e3, e0) = all_57_7 &
% 197.83/31.50 | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_0) &
% 197.83/31.50 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_2) & $i(all_57_3) &
% 197.83/31.50 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4) & $i(all_57_5) & $i(all_57_6) &
% 197.83/31.50 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7)) | (all_57_27 = e0 & ~
% 197.83/31.50 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e3) & ~ (all_57_10 = e2) & ~
% 197.83/31.50 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e1) & ~ (all_57_14 = e0) & ~
% 197.83/31.50 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e2) & op(e2, all_57_9) =
% 197.83/31.50 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_8 & op(e2, all_57_11) = all_57_10 &
% 197.83/31.50 | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_13) = all_57_12 & op(e2,
% 197.83/31.50 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15) = all_57_14 & op(e2, e3) =
% 197.83/31.50 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_9 & op(e2, e2) = all_57_11 & op(e2,
% 197.83/31.50 | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_13 & op(e2, e0) = all_57_15 &
% 197.83/31.50 | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_8) &
% 197.83/31.50 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9) & $i(all_57_10) & $i(all_57_11)
% 197.83/31.50 | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_12) & $i(all_57_13) &
% 197.83/31.50 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & $i(all_57_15)) | (all_57_29
% 197.83/31.50 | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & ~ (all_57_16 = e3) & ~ (all_57_18 =
% 197.83/31.50 | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_20 = e1) & ~ (all_57_22
% 197.83/31.50 | | | | | | | | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_31 = e1) & op(e1,
% 197.83/31.50 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17) = all_57_16 & op(e1, all_57_19)
% 197.83/31.50 | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_18 & op(e1, all_57_21) = all_57_20
% 197.83/31.50 | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, all_57_23) = all_57_22 & op(e1, e3)
% 197.83/31.50 | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_17 & op(e1, e2) = all_57_19 &
% 197.83/31.50 | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_21 & op(e1, e0) =
% 197.83/31.50 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23 & op(e0, e1) = e0 & $i(all_57_16)
% 197.83/31.50 | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_17) & $i(all_57_18) &
% 197.83/31.50 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_20) &
% 197.83/31.50 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_22) &
% 197.83/31.50 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23))))
% 197.83/31.50 | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.50 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7502) gives:
% 197.83/31.50 | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.50 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.83/31.50 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.50 | | | | | | | | | | | | | | | | | | | | | | | | | | (7503) all_57_19 = e1 & ~ (all_57_8 = e3) & ~
% 197.83/31.50 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e2) & ~ (all_57_12 = e1) & ~
% 197.83/31.50 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e0) & ~ (all_57_21 = e2) & op(e2,
% 197.83/31.50 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_9) = all_57_8 & op(e2, all_57_11) =
% 197.83/31.50 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e2, all_57_13) = all_57_12 & op(e2,
% 197.83/31.50 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15) = all_57_14 & op(e2, e3) = all_57_9 &
% 197.83/31.50 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_11 & op(e2, e1) = all_57_13 &
% 197.83/31.50 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_15 & op(e1, e2) = e1 & op(e1,
% 197.83/31.50 | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_21 & $i(all_57_8) & $i(all_57_9) &
% 197.83/31.50 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & $i(all_57_11) & $i(all_57_12) &
% 197.83/31.50 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13) & $i(all_57_14) & $i(all_57_15) &
% 197.83/31.50 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21)
% 197.83/31.50 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.50 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7503) implies:
% 197.83/31.50 | | | | | | | | | | | | | | | | | | | | | | | | | | (7504) op(e1, e2) = e1
% 197.83/31.50 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.50 | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e2, e1, e2,
% 197.83/31.50 | | | | | | | | | | | | | | | | | | | | | | | | | | e1, simplifying with (7142), (7504) gives:
% 197.83/31.50 | | | | | | | | | | | | | | | | | | | | | | | | | | (7505) e2 = e1
% 197.83/31.50 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.50 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6), (7505) imply:
% 197.83/31.50 | | | | | | | | | | | | | | | | | | | | | | | | | | (7506) $false
% 197.83/31.50 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.50 | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (7506) is inconsistent.
% 197.83/31.50 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.50 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.83/31.50 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.50 | | | | | | | | | | | | | | | | | | | | | | | | | | (7507) op(e0, e0) = all_57_31 & $i(all_57_31) &
% 197.83/31.50 | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_23 = e1 & ~ (all_57_21 = e0) & ~
% 197.83/31.50 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 197.83/31.50 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) &
% 197.83/31.50 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_21 & op(e1, e0) = e1 &
% 197.83/31.50 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_25) = all_57_24 & op(e0,
% 197.83/31.50 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27) = all_57_26 & op(e0, all_57_29) =
% 197.83/31.50 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_28 & op(e0, all_57_31) = all_57_30 &
% 197.83/31.50 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_25 & op(e0, e2) =
% 197.83/31.50 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27 & op(e0, e1) = all_57_29 &
% 197.83/31.50 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_24) & $i(all_57_25)
% 197.83/31.50 | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_26) & $i(all_57_27) &
% 197.83/31.50 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28) & $i(all_57_29) & $i(all_57_30))
% 197.83/31.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_25 = e0 & ~ (all_57_0 = e3) & ~
% 197.83/31.50 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e2) & ~ (all_57_4 = e1) & ~
% 197.83/31.50 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_6 = e0) & ~ (all_57_31 = e3) & op(e3,
% 197.83/31.50 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1) = all_57_0 & op(e3, all_57_3) =
% 197.83/31.50 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_2 & op(e3, all_57_5) = all_57_4 &
% 197.83/31.50 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, all_57_7) = all_57_6 & op(e3, e3) =
% 197.83/31.50 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e2) = all_57_3 & op(e3, e1)
% 197.83/31.50 | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_5 & op(e3, e0) = all_57_7 & op(e0,
% 197.83/31.50 | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e0 & $i(all_57_0) & $i(all_57_1) &
% 197.83/31.50 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_2) & $i(all_57_3) & $i(all_57_4) &
% 197.83/31.50 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_6) & $i(all_57_7)) |
% 197.83/31.50 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_27 = e0 & ~ (all_57_8 = e3) & ~
% 197.83/31.50 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e2) & ~ (all_57_12 = e1) & ~
% 197.83/31.50 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e0) & ~ (all_57_31 = e2) &
% 197.83/31.50 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_9) = all_57_8 & op(e2,
% 197.83/31.50 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_11) = all_57_10 & op(e2, all_57_13) =
% 197.83/31.50 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & op(e2, all_57_15) = all_57_14 &
% 197.83/31.50 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_9 & op(e2, e2) = all_57_11
% 197.83/31.50 | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = all_57_13 & op(e2, e0) =
% 197.83/31.50 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15 & op(e0, e2) = e0 & $i(all_57_8) &
% 197.83/31.50 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9) & $i(all_57_10) & $i(all_57_11) &
% 197.83/31.50 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & $i(all_57_13) & $i(all_57_14)
% 197.83/31.50 | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_15)) | (all_57_29 = e0 & ~
% 197.83/31.50 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_16 = e3) & ~ (all_57_18 = e2) & ~
% 197.83/31.50 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_22 = e0) & ~
% 197.83/31.50 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e1) & op(e1, all_57_17) =
% 197.83/31.50 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_16 & op(e1, all_57_19) = all_57_18 &
% 197.83/31.50 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_21) = all_57_20 & op(e1,
% 197.83/31.50 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23) = all_57_22 & op(e1, e3) =
% 197.83/31.50 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e1, e2) = all_57_19 & op(e1,
% 197.83/31.50 | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_21 & op(e1, e0) = all_57_23 &
% 197.83/31.50 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_16) &
% 197.83/31.50 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_17) & $i(all_57_18) & $i(all_57_19)
% 197.83/31.50 | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_20) & $i(all_57_21) &
% 197.83/31.50 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_23)))
% 197.83/31.50 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.50 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7507) implies:
% 197.83/31.50 | | | | | | | | | | | | | | | | | | | | | | | | | | (7508) op(e0, e0) = all_57_31
% 197.83/31.50 | | | | | | | | | | | | | | | | | | | | | | | | | | (7509) (all_57_23 = e1 & ~ (all_57_21 = e0) & ~
% 197.83/31.50 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 197.83/31.50 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) & op(e1,
% 197.83/31.50 | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_21 & op(e1, e0) = e1 & op(e0,
% 197.83/31.50 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25) = all_57_24 & op(e0, all_57_27) =
% 197.83/31.50 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e0, all_57_29) = all_57_28 &
% 197.83/31.50 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_31) = all_57_30 & op(e0, e3) =
% 197.83/31.50 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_27 & op(e0, e1)
% 197.83/31.50 | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_29 & $i(all_57_21) & $i(all_57_24) &
% 197.83/31.50 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_25) & $i(all_57_26) & $i(all_57_27) &
% 197.83/31.50 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28) & $i(all_57_29) & $i(all_57_30)) |
% 197.83/31.50 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_25 = e0 & ~ (all_57_0 = e3) & ~
% 197.83/31.50 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e2) & ~ (all_57_4 = e1) & ~
% 197.83/31.50 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_6 = e0) & ~ (all_57_31 = e3) & op(e3,
% 197.83/31.50 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1) = all_57_0 & op(e3, all_57_3) =
% 197.83/31.50 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_2 & op(e3, all_57_5) = all_57_4 & op(e3,
% 197.83/31.50 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7) = all_57_6 & op(e3, e3) = all_57_1 &
% 197.83/31.50 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_3 & op(e3, e1) = all_57_5 &
% 197.83/31.50 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_7 & op(e0, e3) = e0 &
% 197.83/31.50 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_0) & $i(all_57_1) & $i(all_57_2) &
% 197.83/31.50 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_3) & $i(all_57_4) & $i(all_57_5) &
% 197.83/31.50 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_6) & $i(all_57_7)) | (all_57_27 = e0 &
% 197.83/31.50 | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_8 = e3) & ~ (all_57_10 = e2) & ~
% 197.83/31.50 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e1) & ~ (all_57_14 = e0) & ~
% 197.83/31.50 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e2) & op(e2, all_57_9) = all_57_8 &
% 197.83/31.50 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_11) = all_57_10 & op(e2,
% 197.83/31.50 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_13) = all_57_12 & op(e2, all_57_15) =
% 197.83/31.50 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_14 & op(e2, e3) = all_57_9 & op(e2, e2) =
% 197.83/31.50 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_11 & op(e2, e1) = all_57_13 & op(e2, e0)
% 197.83/31.50 | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_15 & op(e0, e2) = e0 & $i(all_57_8) &
% 197.83/31.50 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9) & $i(all_57_10) & $i(all_57_11) &
% 197.83/31.50 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & $i(all_57_13) & $i(all_57_14) &
% 197.83/31.50 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15)) | (all_57_29 = e0 & ~ (all_57_16
% 197.83/31.50 | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_18 = e2) & ~ (all_57_20 =
% 197.83/31.50 | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_22 = e0) & ~ (all_57_31 =
% 197.83/31.50 | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & op(e1, all_57_17) = all_57_16 & op(e1,
% 197.83/31.50 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_19) = all_57_18 & op(e1, all_57_21) =
% 197.83/31.50 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20 & op(e1, all_57_23) = all_57_22 &
% 197.83/31.50 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_17 & op(e1, e2) = all_57_19
% 197.83/31.50 | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = all_57_21 & op(e1, e0) =
% 197.83/31.50 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23 & op(e0, e1) = e0 & $i(all_57_16) &
% 197.83/31.50 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_17) & $i(all_57_18) & $i(all_57_19) &
% 197.83/31.50 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_20) & $i(all_57_21) & $i(all_57_22) &
% 197.83/31.50 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23))
% 197.83/31.50 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.50 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (7126), (7142), (7485), (7508), (7509),
% 197.83/31.50 | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 197.83/31.50 | | | | | | | | | | | | | | | | | | | | | | | | | | #1047.
% 197.83/31.50 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.50 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.83/31.50 | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.50 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.83/31.50 | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.50 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.83/31.50 | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.50 | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.83/31.50 | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.50 | | | | | | | | | | | | | | | | | | | | | End of split
% 197.83/31.50 | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.50 | | | | | | | | | | | | | | | | | | | | End of split
% 197.83/31.50 | | | | | | | | | | | | | | | | | | | |
% 197.83/31.50 | | | | | | | | | | | | | | | | | | | End of split
% 197.83/31.50 | | | | | | | | | | | | | | | | | | |
% 197.83/31.50 | | | | | | | | | | | | | | | | | | Case 2:
% 197.83/31.50 | | | | | | | | | | | | | | | | | | |
% 197.83/31.50 | | | | | | | | | | | | | | | | | | | (7510) all_56_13 = e2 & op(e0, e2) = e2
% 197.83/31.50 | | | | | | | | | | | | | | | | | | |
% 197.83/31.50 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (158), (7122), (7510), (function-axioms) are
% 197.83/31.50 | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1969.
% 197.83/31.50 | | | | | | | | | | | | | | | | | | |
% 197.83/31.50 | | | | | | | | | | | | | | | | | | End of split
% 197.83/31.50 | | | | | | | | | | | | | | | | | |
% 197.83/31.50 | | | | | | | | | | | | | | | | | End of split
% 197.83/31.50 | | | | | | | | | | | | | | | | |
% 197.83/31.50 | | | | | | | | | | | | | | | | End of split
% 197.83/31.50 | | | | | | | | | | | | | | | |
% 197.83/31.50 | | | | | | | | | | | | | | | Case 2:
% 197.83/31.50 | | | | | | | | | | | | | | | |
% 197.83/31.50 | | | | | | | | | | | | | | | | (7511) (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 =
% 197.83/31.50 | | | | | | | | | | | | | | | | e2 & op(e0, e1) = e2)
% 197.83/31.50 | | | | | | | | | | | | | | | |
% 197.83/31.50 | | | | | | | | | | | | | | | | BETA: splitting (7511) gives:
% 197.83/31.50 | | | | | | | | | | | | | | | |
% 197.83/31.50 | | | | | | | | | | | | | | | | Case 1:
% 197.83/31.50 | | | | | | | | | | | | | | | | |
% 197.83/31.50 | | | | | | | | | | | | | | | | | (7512) all_56_8 = e2 & op(e1, e1) = e2
% 197.83/31.50 | | | | | | | | | | | | | | | | |
% 197.83/31.50 | | | | | | | | | | | | | | | | | ALPHA: (7512) implies:
% 197.83/31.50 | | | | | | | | | | | | | | | | | (7513) op(e1, e1) = e2
% 197.83/31.50 | | | | | | | | | | | | | | | | |
% 197.83/31.50 | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (375), (7513), (function-axioms) are
% 197.83/31.50 | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1759.
% 197.83/31.50 | | | | | | | | | | | | | | | | |
% 197.83/31.50 | | | | | | | | | | | | | | | | Case 2:
% 197.83/31.50 | | | | | | | | | | | | | | | | |
% 197.83/31.50 | | | | | | | | | | | | | | | | | (7514) all_56_14 = e2 & op(e0, e1) = e2
% 197.83/31.50 | | | | | | | | | | | | | | | | |
% 197.83/31.50 | | | | | | | | | | | | | | | | | REF_CLOSE: (157), (7123), (7514), (function-axioms) are
% 197.83/31.50 | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1844.
% 197.83/31.50 | | | | | | | | | | | | | | | | |
% 197.83/31.50 | | | | | | | | | | | | | | | | End of split
% 197.83/31.50 | | | | | | | | | | | | | | | |
% 197.83/31.50 | | | | | | | | | | | | | | | End of split
% 197.83/31.50 | | | | | | | | | | | | | | |
% 197.83/31.50 | | | | | | | | | | | | | | End of split
% 197.83/31.50 | | | | | | | | | | | | | |
% 197.83/31.50 | | | | | | | | | | | | | End of split
% 197.83/31.50 | | | | | | | | | | | | |
% 197.83/31.50 | | | | | | | | | | | | End of split
% 197.83/31.50 | | | | | | | | | | | |
% 197.83/31.50 | | | | | | | | | | | End of split
% 197.83/31.50 | | | | | | | | | | |
% 197.83/31.50 | | | | | | | | | | Case 2:
% 197.83/31.50 | | | | | | | | | | |
% 197.83/31.50 | | | | | | | | | | | (7515) (all_56_7 = e3 & op(e1, e2) = e3) | (all_56_13 =
% 197.83/31.50 | | | | | | | | | | | e3 & op(e0, e2) = e3)
% 197.83/31.50 | | | | | | | | | | |
% 197.83/31.50 | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (162), (225), (226),
% 197.83/31.50 | | | | | | | | | | | (227), (6472), (6477), (7515), (function-axioms)
% 197.83/31.50 | | | | | | | | | | | are inconsistent by sub-proof #885.
% 197.83/31.50 | | | | | | | | | | |
% 197.83/31.50 | | | | | | | | | | End of split
% 197.83/31.50 | | | | | | | | | |
% 197.83/31.50 | | | | | | | | | End of split
% 197.83/31.50 | | | | | | | | |
% 197.83/31.50 | | | | | | | | Case 2:
% 197.83/31.50 | | | | | | | | |
% 197.83/31.50 | | | | | | | | | (7516) all_56_2 = e2 & op(e2, e3) = e2
% 197.83/31.50 | | | | | | | | |
% 197.83/31.50 | | | | | | | | | ALPHA: (7516) implies:
% 197.83/31.50 | | | | | | | | | (7517) op(e2, e3) = e2
% 197.83/31.50 | | | | | | | | |
% 197.83/31.50 | | | | | | | | | REF_CLOSE: (167), (5131), (7517), (function-axioms) are
% 197.83/31.50 | | | | | | | | | inconsistent by sub-proof #1944.
% 197.83/31.50 | | | | | | | | |
% 197.83/31.50 | | | | | | | | End of split
% 197.83/31.50 | | | | | | | |
% 197.83/31.50 | | | | | | | Case 2:
% 197.83/31.50 | | | | | | | |
% 197.83/31.50 | | | | | | | | (7518) (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_12 = e2 &
% 197.83/31.50 | | | | | | | | op(e0, e3) = e2)
% 197.83/31.50 | | | | | | | |
% 197.83/31.50 | | | | | | | | BETA: splitting (7518) gives:
% 197.83/31.50 | | | | | | | |
% 197.83/31.50 | | | | | | | | Case 1:
% 197.83/31.50 | | | | | | | | |
% 197.83/31.50 | | | | | | | | | (7519) all_56_6 = e2 & op(e1, e3) = e2
% 197.83/31.50 | | | | | | | | |
% 197.83/31.50 | | | | | | | | | REF_CLOSE: (163), (5132), (7519), (function-axioms) are
% 197.83/31.50 | | | | | | | | | inconsistent by sub-proof #1306.
% 197.83/31.50 | | | | | | | | |
% 197.83/31.50 | | | | | | | | Case 2:
% 197.83/31.50 | | | | | | | | |
% 197.83/31.50 | | | | | | | | | (7520) all_56_12 = e2 & op(e0, e3) = e2
% 197.83/31.50 | | | | | | | | |
% 197.83/31.50 | | | | | | | | | REF_CLOSE: (159), (5133), (7520), (function-axioms) are
% 197.83/31.50 | | | | | | | | | inconsistent by sub-proof #1847.
% 197.83/31.50 | | | | | | | | |
% 197.83/31.50 | | | | | | | | End of split
% 197.83/31.50 | | | | | | | |
% 197.83/31.50 | | | | | | | End of split
% 197.83/31.50 | | | | | | |
% 197.83/31.50 | | | | | | End of split
% 197.83/31.50 | | | | | |
% 197.83/31.50 | | | | | End of split
% 197.83/31.50 | | | | |
% 197.83/31.50 | | | | Case 2:
% 197.83/31.50 | | | | |
% 197.83/31.50 | | | | | (7521) all_10_2 = e3
% 197.83/31.50 | | | | | (7522) op(e3, e0) = all_10_1 & $i(all_10_1) & ( ~ (all_10_1 = e2) |
% 197.83/31.50 | | | | | ( ~ (all_10_0 = e1) & op(e2, e3) = all_10_0 &
% 197.83/31.50 | | | | | $i(all_10_0)))
% 197.83/31.50 | | | | |
% 197.83/31.50 | | | | | ALPHA: (7522) implies:
% 197.83/31.50 | | | | | (7523) op(e3, e0) = all_10_1
% 197.83/31.50 | | | | | (7524) ~ (all_10_1 = e2) | ( ~ (all_10_0 = e1) & op(e2, e3) =
% 197.83/31.50 | | | | | all_10_0 & $i(all_10_0))
% 197.83/31.50 | | | | |
% 197.83/31.50 | | | | | COMBINE_EQS: (319), (7521) imply:
% 197.83/31.50 | | | | | (7525) all_24_2 = e3
% 197.83/31.50 | | | | |
% 197.83/31.50 | | | | | REDUCE: (350), (7521) imply:
% 197.83/31.50 | | | | | (7526) ~ (all_52_3 = e3)
% 197.83/31.50 | | | | |
% 197.83/31.50 | | | | | REDUCE: (361), (7521) imply:
% 197.83/31.50 | | | | | (7527) ~ (all_52_7 = e3)
% 197.83/31.50 | | | | |
% 197.83/31.50 | | | | | REDUCE: (368), (7521) imply:
% 197.83/31.50 | | | | | (7528) ~ (all_52_11 = e3)
% 197.83/31.50 | | | | |
% 197.83/31.50 | | | | | REDUCE: (369), (7521) imply:
% 197.83/31.50 | | | | | (7529) ~ (all_52_12 = e3)
% 197.83/31.50 | | | | |
% 197.83/31.50 | | | | | REDUCE: (370), (7521) imply:
% 197.83/31.50 | | | | | (7530) ~ (all_52_13 = e3)
% 197.83/31.50 | | | | |
% 197.83/31.50 | | | | | REDUCE: (371), (7521) imply:
% 197.83/31.50 | | | | | (7531) ~ (all_52_14 = e3)
% 197.83/31.50 | | | | |
% 197.83/31.50 | | | | | REDUCE: (45), (7521) imply:
% 197.83/31.50 | | | | | (7532) op(e0, e0) = e3
% 197.83/31.50 | | | | |
% 197.83/31.50 | | | | | BETA: splitting (209) gives:
% 197.83/31.50 | | | | |
% 197.83/31.50 | | | | | Case 1:
% 197.83/31.50 | | | | | |
% 197.83/31.50 | | | | | | (7533) (all_56_12 = e3 & op(e0, e3) = e3) | (all_56_13 = e3 &
% 197.83/31.50 | | | | | | op(e0, e2) = e3)
% 197.83/31.50 | | | | | |
% 197.83/31.50 | | | | | | BETA: splitting (7533) gives:
% 197.83/31.50 | | | | | |
% 197.83/31.50 | | | | | | Case 1:
% 197.83/31.50 | | | | | | |
% 197.83/31.50 | | | | | | | (7534) all_56_12 = e3 & op(e0, e3) = e3
% 197.83/31.50 | | | | | | |
% 197.83/31.50 | | | | | | | ALPHA: (7534) implies:
% 197.83/31.50 | | | | | | | (7535) all_56_12 = e3
% 197.83/31.50 | | | | | | |
% 197.83/31.50 | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (206), (207), (208),
% 197.83/31.50 | | | | | | | (7532), (7535), (function-axioms) are inconsistent by
% 197.83/31.50 | | | | | | | sub-proof #1442.
% 197.83/31.50 | | | | | | |
% 197.83/31.50 | | | | | | Case 2:
% 197.83/31.50 | | | | | | |
% 197.83/31.50 | | | | | | | (7536) all_56_13 = e3 & op(e0, e2) = e3
% 197.83/31.50 | | | | | | |
% 197.83/31.50 | | | | | | | ALPHA: (7536) implies:
% 197.83/31.50 | | | | | | | (7537) all_56_13 = e3
% 197.83/31.50 | | | | | | |
% 197.83/31.50 | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (206), (207), (208),
% 197.83/31.50 | | | | | | | (7532), (7537), (function-axioms) are inconsistent by
% 197.83/31.50 | | | | | | | sub-proof #1646.
% 197.83/31.50 | | | | | | |
% 197.83/31.50 | | | | | | End of split
% 197.83/31.50 | | | | | |
% 197.83/31.50 | | | | | Case 2:
% 197.83/31.50 | | | | | |
% 197.83/31.50 | | | | | | (7538) (all_56_14 = e3 & op(e0, e1) = e3) | (all_56_15 = e3 &
% 197.83/31.50 | | | | | | op(e0, e0) = e3)
% 197.83/31.50 | | | | | |
% 197.83/31.50 | | | | | | BETA: splitting (7538) gives:
% 197.83/31.50 | | | | | |
% 197.83/31.50 | | | | | | Case 1:
% 197.83/31.50 | | | | | | |
% 197.83/31.50 | | | | | | | (7539) all_56_14 = e3 & op(e0, e1) = e3
% 197.83/31.50 | | | | | | |
% 197.83/31.50 | | | | | | | REF_CLOSE: (157), (7528), (7539), (function-axioms) are
% 197.83/31.50 | | | | | | | inconsistent by sub-proof #1839.
% 197.83/31.50 | | | | | | |
% 197.83/31.50 | | | | | | Case 2:
% 197.83/31.50 | | | | | | |
% 197.83/31.50 | | | | | | | (7540) all_56_15 = e3 & op(e0, e0) = e3
% 197.83/31.50 | | | | | | |
% 197.83/31.50 | | | | | | | ALPHA: (7540) implies:
% 197.83/31.50 | | | | | | | (7541) all_56_15 = e3
% 197.83/31.50 | | | | | | |
% 197.83/31.50 | | | | | | | BETA: splitting (67) gives:
% 197.83/31.50 | | | | | | |
% 197.83/31.50 | | | | | | | Case 1:
% 197.83/31.50 | | | | | | | |
% 197.83/31.50 | | | | | | | | (7542) ~ (all_24_2 = e3)
% 197.83/31.50 | | | | | | | |
% 197.83/31.50 | | | | | | | | REDUCE: (7525), (7542) imply:
% 197.83/31.50 | | | | | | | | (7543) $false
% 197.83/31.50 | | | | | | | |
% 197.83/31.50 | | | | | | | | CLOSE: (7543) is inconsistent.
% 197.83/31.50 | | | | | | | |
% 197.83/31.50 | | | | | | | Case 2:
% 197.83/31.50 | | | | | | | |
% 197.83/31.50 | | | | | | | | (7544) op(e3, e0) = all_24_1 & $i(all_24_1) & ( ~ (all_24_1 =
% 197.83/31.50 | | | | | | | | e1) | ( ~ (all_24_0 = e2) & op(e1, e3) = all_24_0
% 197.83/31.50 | | | | | | | | & $i(all_24_0)))
% 197.83/31.50 | | | | | | | |
% 197.83/31.50 | | | | | | | | ALPHA: (7544) implies:
% 197.83/31.50 | | | | | | | | (7545) op(e3, e0) = all_24_1
% 197.83/31.50 | | | | | | | | (7546) ~ (all_24_1 = e1) | ( ~ (all_24_0 = e2) & op(e1, e3)
% 197.83/31.50 | | | | | | | | = all_24_0 & $i(all_24_0))
% 197.83/31.50 | | | | | | | |
% 197.83/31.50 | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_12,
% 197.83/31.50 | | | | | | | | all_10_1, e0, e3, simplifying with (168), (7523)
% 197.83/31.50 | | | | | | | | gives:
% 197.83/31.50 | | | | | | | | (7547) all_52_12 = all_10_1
% 197.83/31.50 | | | | | | | |
% 197.83/31.50 | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_12,
% 197.83/31.50 | | | | | | | | all_24_1, e0, e3, simplifying with (168), (7545)
% 197.83/31.50 | | | | | | | | gives:
% 197.83/31.50 | | | | | | | | (7548) all_52_12 = all_24_1
% 197.83/31.50 | | | | | | | |
% 197.83/31.50 | | | | | | | | COMBINE_EQS: (7547), (7548) imply:
% 197.83/31.50 | | | | | | | | (7549) all_24_1 = all_10_1
% 197.83/31.50 | | | | | | | |
% 197.83/31.50 | | | | | | | | SIMP: (7549) implies:
% 197.83/31.50 | | | | | | | | (7550) all_24_1 = all_10_1
% 197.83/31.50 | | | | | | | |
% 197.83/31.50 | | | | | | | | COMBINE_EQS: (270), (7547) imply:
% 197.83/31.50 | | | | | | | | (7551) all_54_3 = all_10_1
% 197.83/31.50 | | | | | | | |
% 197.83/31.50 | | | | | | | | REDUCE: (133), (7547) imply:
% 197.83/31.50 | | | | | | | | (7552) ~ (all_52_4 = all_10_1)
% 197.83/31.50 | | | | | | | |
% 197.83/31.50 | | | | | | | | REDUCE: (120), (7547) imply:
% 197.83/31.50 | | | | | | | | (7553) ~ (all_52_8 = all_10_1)
% 197.83/31.50 | | | | | | | |
% 197.83/31.50 | | | | | | | | REDUCE: (113), (7547) imply:
% 197.83/31.50 | | | | | | | | (7554) ~ (all_52_13 = all_10_1)
% 197.83/31.50 | | | | | | | |
% 197.83/31.50 | | | | | | | | SIMP: (7554) implies:
% 197.83/31.50 | | | | | | | | (7555) ~ (all_52_13 = all_10_1)
% 197.83/31.50 | | | | | | | |
% 197.83/31.50 | | | | | | | | REDUCE: (112), (7547) imply:
% 197.83/31.50 | | | | | | | | (7556) ~ (all_52_14 = all_10_1)
% 197.83/31.50 | | | | | | | |
% 197.83/31.50 | | | | | | | | SIMP: (7556) implies:
% 197.83/31.50 | | | | | | | | (7557) ~ (all_52_14 = all_10_1)
% 197.83/31.50 | | | | | | | |
% 197.83/31.50 | | | | | | | | REDUCE: (347), (7547) imply:
% 197.83/31.50 | | | | | | | | (7558) ~ (all_14_2 = all_10_1)
% 197.83/31.50 | | | | | | | |
% 197.83/31.50 | | | | | | | | SIMP: (7558) implies:
% 197.83/31.50 | | | | | | | | (7559) ~ (all_14_2 = all_10_1)
% 197.83/31.50 | | | | | | | |
% 197.83/31.50 | | | | | | | | REDUCE: (7529), (7547) imply:
% 197.83/31.50 | | | | | | | | (7560) ~ (all_10_1 = e3)
% 197.83/31.50 | | | | | | | |
% 197.83/31.50 | | | | | | | | BETA: splitting (52) gives:
% 197.83/31.50 | | | | | | | |
% 197.83/31.50 | | | | | | | | Case 1:
% 197.83/31.50 | | | | | | | | |
% 197.83/31.50 | | | | | | | | | (7561) ~ (all_14_2 = e2)
% 197.83/31.50 | | | | | | | | |
% 197.83/31.50 | | | | | | | | | BETA: splitting (55) gives:
% 197.83/31.50 | | | | | | | | |
% 197.83/31.50 | | | | | | | | | Case 1:
% 197.83/31.50 | | | | | | | | | |
% 197.83/31.50 | | | | | | | | | | (7562) ~ (all_16_2 = e3)
% 197.83/31.50 | | | | | | | | | |
% 197.83/31.50 | | | | | | | | | | REDUCE: (328), (7562) imply:
% 197.83/31.50 | | | | | | | | | | (7563) ~ (all_6_2 = e3)
% 197.83/31.50 | | | | | | | | | |
% 197.83/31.50 | | | | | | | | | | BETA: splitting (61) gives:
% 197.83/31.50 | | | | | | | | | |
% 197.83/31.50 | | | | | | | | | | Case 1:
% 197.83/31.50 | | | | | | | | | | |
% 197.83/31.50 | | | | | | | | | | | (7564) ~ (all_20_2 = e0)
% 197.83/31.50 | | | | | | | | | | |
% 197.83/31.50 | | | | | | | | | | | REDUCE: (283), (7564) imply:
% 197.83/31.50 | | | | | | | | | | | (7565) ~ (all_6_2 = e0)
% 197.83/31.50 | | | | | | | | | | |
% 197.83/31.50 | | | | | | | | | | | BETA: splitting (199) gives:
% 197.83/31.50 | | | | | | | | | | |
% 197.83/31.50 | | | | | | | | | | | Case 1:
% 197.83/31.50 | | | | | | | | | | | |
% 197.83/31.50 | | | | | | | | | | | | (7566) all_54_5 = e3
% 197.83/31.50 | | | | | | | | | | | |
% 197.83/31.50 | | | | | | | | | | | | REF_CLOSE: (268), (7563), (7566) are inconsistent by
% 197.83/31.50 | | | | | | | | | | | | sub-proof #884.
% 197.83/31.50 | | | | | | | | | | | |
% 197.83/31.50 | | | | | | | | | | | Case 2:
% 197.83/31.50 | | | | | | | | | | | |
% 197.83/31.50 | | | | | | | | | | | | (7567) all_54_5 = e2 | all_54_5 = e1 | all_54_5 = e0
% 197.83/31.50 | | | | | | | | | | | |
% 197.83/31.50 | | | | | | | | | | | | BETA: splitting (7567) gives:
% 197.83/31.50 | | | | | | | | | | | |
% 197.83/31.50 | | | | | | | | | | | | Case 1:
% 197.83/31.50 | | | | | | | | | | | | |
% 197.83/31.50 | | | | | | | | | | | | | (7568) all_54_5 = e2
% 197.83/31.50 | | | | | | | | | | | | |
% 197.83/31.50 | | | | | | | | | | | | | COMBINE_EQS: (268), (7568) imply:
% 197.83/31.50 | | | | | | | | | | | | | (7569) all_6_2 = e2
% 197.83/31.50 | | | | | | | | | | | | |
% 197.83/31.50 | | | | | | | | | | | | | SIMP: (7569) implies:
% 197.83/31.50 | | | | | | | | | | | | | (7570) all_6_2 = e2
% 197.83/31.50 | | | | | | | | | | | | |
% 197.83/31.50 | | | | | | | | | | | | | REDUCE: (348), (7570) imply:
% 197.83/31.50 | | | | | | | | | | | | | (7571) ~ (all_52_1 = e2)
% 197.83/31.50 | | | | | | | | | | | | |
% 197.83/31.50 | | | | | | | | | | | | | REDUCE: (351), (7570) imply:
% 197.83/31.50 | | | | | | | | | | | | | (7572) ~ (all_52_4 = e2)
% 197.83/31.50 | | | | | | | | | | | | |
% 197.83/31.50 | | | | | | | | | | | | | REDUCE: (353), (7570) imply:
% 197.83/31.50 | | | | | | | | | | | | | (7573) ~ (all_52_6 = e2)
% 197.83/31.50 | | | | | | | | | | | | |
% 197.83/31.50 | | | | | | | | | | | | | REDUCE: (355), (7570) imply:
% 197.83/31.51 | | | | | | | | | | | | | (7574) ~ (all_52_7 = e2)
% 197.83/31.51 | | | | | | | | | | | | |
% 197.83/31.51 | | | | | | | | | | | | | REDUCE: (357), (7570) imply:
% 197.83/31.51 | | | | | | | | | | | | | (7575) ~ (all_52_9 = e2)
% 197.83/31.51 | | | | | | | | | | | | |
% 197.83/31.51 | | | | | | | | | | | | | REDUCE: (359), (7570) imply:
% 197.83/31.51 | | | | | | | | | | | | | (7576) ~ (all_52_13 = e2)
% 197.83/31.51 | | | | | | | | | | | | |
% 197.83/31.51 | | | | | | | | | | | | | REDUCE: (39), (7570) imply:
% 197.83/31.51 | | | | | | | | | | | | | (7577) op(e2, e2) = e2
% 197.83/31.51 | | | | | | | | | | | | |
% 197.83/31.51 | | | | | | | | | | | | | BETA: splitting (73) gives:
% 197.83/31.51 | | | | | | | | | | | | |
% 197.83/31.51 | | | | | | | | | | | | | Case 1:
% 197.83/31.51 | | | | | | | | | | | | | |
% 197.83/31.51 | | | | | | | | | | | | | | (7578) ~ (all_28_2 = e1)
% 197.83/31.51 | | | | | | | | | | | | | |
% 197.83/31.51 | | | | | | | | | | | | | | REDUCE: (315), (7578) imply:
% 197.83/31.51 | | | | | | | | | | | | | | (7579) ~ (all_14_2 = e1)
% 197.83/31.51 | | | | | | | | | | | | | |
% 197.83/31.51 | | | | | | | | | | | | | | BETA: splitting (79) gives:
% 197.83/31.51 | | | | | | | | | | | | | |
% 197.83/31.51 | | | | | | | | | | | | | | Case 1:
% 197.83/31.51 | | | | | | | | | | | | | | |
% 197.83/31.51 | | | | | | | | | | | | | | | (7580) ~ (all_32_2 = e3)
% 197.83/31.51 | | | | | | | | | | | | | | |
% 197.83/31.51 | | | | | | | | | | | | | | | REDUCE: (301), (7580) imply:
% 197.83/31.51 | | | | | | | | | | | | | | | (7581) ~ (all_4_2 = e3)
% 197.83/31.51 | | | | | | | | | | | | | | |
% 197.83/31.51 | | | | | | | | | | | | | | | REF_CLOSE: (36), (158), (160), (162), (163), (164), (165),
% 197.83/31.51 | | | | | | | | | | | | | | | (167), (168), (170), (194), (227), (238), (335),
% 197.83/31.51 | | | | | | | | | | | | | | | (349), (367), (372), (375), (7529), (7532),
% 197.83/31.51 | | | | | | | | | | | | | | | (7571), (7572), (7573), (7574), (7575), (7576),
% 197.83/31.51 | | | | | | | | | | | | | | | (7581), (function-axioms) are inconsistent by
% 197.83/31.51 | | | | | | | | | | | | | | | sub-proof #881.
% 197.83/31.51 | | | | | | | | | | | | | | |
% 197.83/31.51 | | | | | | | | | | | | | | Case 2:
% 197.83/31.51 | | | | | | | | | | | | | | |
% 197.83/31.51 | | | | | | | | | | | | | | | (7582) all_32_2 = e3
% 197.83/31.51 | | | | | | | | | | | | | | |
% 197.83/31.51 | | | | | | | | | | | | | | | COMBINE_EQS: (301), (7582) imply:
% 197.83/31.51 | | | | | | | | | | | | | | | (7583) all_4_2 = e3
% 197.83/31.51 | | | | | | | | | | | | | | |
% 197.83/31.51 | | | | | | | | | | | | | | | REDUCE: (360), (7583) imply:
% 197.83/31.51 | | | | | | | | | | | | | | | (7584) ~ (all_52_6 = e3)
% 197.83/31.51 | | | | | | | | | | | | | | |
% 197.83/31.51 | | | | | | | | | | | | | | | REDUCE: (362), (7583) imply:
% 197.83/31.51 | | | | | | | | | | | | | | | (7585) ~ (all_52_8 = e3)
% 197.83/31.51 | | | | | | | | | | | | | | |
% 197.83/31.51 | | | | | | | | | | | | | | | REDUCE: (363), (7583) imply:
% 197.83/31.51 | | | | | | | | | | | | | | | (7586) ~ (all_52_9 = e3)
% 197.83/31.51 | | | | | | | | | | | | | | |
% 197.83/31.51 | | | | | | | | | | | | | | | BETA: splitting (216) gives:
% 197.83/31.51 | | | | | | | | | | | | | | |
% 197.83/31.51 | | | | | | | | | | | | | | | Case 1:
% 197.83/31.51 | | | | | | | | | | | | | | | |
% 197.83/31.51 | | | | | | | | | | | | | | | | (7587) (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_7 = e3
% 197.83/31.51 | | | | | | | | | | | | | | | | & op(e1, e2) = e3)
% 197.83/31.51 | | | | | | | | | | | | | | | |
% 197.83/31.51 | | | | | | | | | | | | | | | | BETA: splitting (7587) gives:
% 197.83/31.51 | | | | | | | | | | | | | | | |
% 197.83/31.51 | | | | | | | | | | | | | | | | Case 1:
% 197.83/31.51 | | | | | | | | | | | | | | | | |
% 197.83/31.51 | | | | | | | | | | | | | | | | | (7588) all_56_6 = e3 & op(e1, e3) = e3
% 197.83/31.51 | | | | | | | | | | | | | | | | |
% 197.83/31.51 | | | | | | | | | | | | | | | | | ALPHA: (7588) implies:
% 197.83/31.51 | | | | | | | | | | | | | | | | | (7589) all_56_6 = e3
% 197.83/31.51 | | | | | | | | | | | | | | | | | (7590) op(e1, e3) = e3
% 197.83/31.51 | | | | | | | | | | | | | | | | |
% 197.83/31.51 | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (51), (164), (165),
% 197.83/31.51 | | | | | | | | | | | | | | | | | (167), (224), (229), (231), (233), (7530), (7561),
% 197.83/31.51 | | | | | | | | | | | | | | | | | (7571), (7577), (7586), (7589), (7590),
% 197.83/31.51 | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 197.83/31.51 | | | | | | | | | | | | | | | | | #1584.
% 197.83/31.51 | | | | | | | | | | | | | | | | |
% 197.83/31.51 | | | | | | | | | | | | | | | | Case 2:
% 197.83/31.51 | | | | | | | | | | | | | | | | |
% 197.83/31.51 | | | | | | | | | | | | | | | | | (7591) all_56_7 = e3 & op(e1, e2) = e3
% 197.83/31.51 | | | | | | | | | | | | | | | | |
% 197.83/31.51 | | | | | | | | | | | | | | | | | REF_CLOSE: (162), (7584), (7591), (function-axioms) are
% 197.83/31.51 | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1827.
% 197.83/31.51 | | | | | | | | | | | | | | | | |
% 197.83/31.51 | | | | | | | | | | | | | | | | End of split
% 197.83/31.51 | | | | | | | | | | | | | | | |
% 197.83/31.51 | | | | | | | | | | | | | | | Case 2:
% 197.83/31.51 | | | | | | | | | | | | | | | |
% 197.83/31.51 | | | | | | | | | | | | | | | | (7592) (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_11 =
% 197.83/31.51 | | | | | | | | | | | | | | | | e3 & op(e1, e0) = e3)
% 197.83/31.51 | | | | | | | | | | | | | | | |
% 197.83/31.51 | | | | | | | | | | | | | | | | BETA: splitting (7592) gives:
% 197.83/31.51 | | | | | | | | | | | | | | | |
% 197.83/31.51 | | | | | | | | | | | | | | | | Case 1:
% 197.83/31.51 | | | | | | | | | | | | | | | | |
% 197.83/31.51 | | | | | | | | | | | | | | | | | (7593) all_56_8 = e3 & op(e1, e1) = e3
% 197.83/31.51 | | | | | | | | | | | | | | | | |
% 197.83/31.51 | | | | | | | | | | | | | | | | | ALPHA: (7593) implies:
% 197.83/31.51 | | | | | | | | | | | | | | | | | (7594) all_56_8 = e3
% 197.83/31.51 | | | | | | | | | | | | | | | | | (7595) op(e1, e1) = e3
% 197.83/31.51 | | | | | | | | | | | | | | | | |
% 197.83/31.51 | | | | | | | | | | | | | | | | | BETA: splitting (224) gives:
% 197.83/31.51 | | | | | | | | | | | | | | | | |
% 197.83/31.51 | | | | | | | | | | | | | | | | | Case 1:
% 197.83/31.51 | | | | | | | | | | | | | | | | | |
% 197.83/31.51 | | | | | | | | | | | | | | | | | | (7596) (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3
% 197.83/31.51 | | | | | | | | | | | | | | | | | | & op(e2, e2) = e3)
% 197.83/31.51 | | | | | | | | | | | | | | | | | |
% 197.83/31.51 | | | | | | | | | | | | | | | | | | BETA: splitting (7596) gives:
% 197.83/31.51 | | | | | | | | | | | | | | | | | |
% 197.83/31.51 | | | | | | | | | | | | | | | | | | Case 1:
% 197.83/31.51 | | | | | | | | | | | | | | | | | | |
% 197.83/31.51 | | | | | | | | | | | | | | | | | | | (7597) all_56_2 = e3 & op(e2, e3) = e3
% 197.83/31.51 | | | | | | | | | | | | | | | | | | |
% 197.83/31.51 | | | | | | | | | | | | | | | | | | | ALPHA: (7597) implies:
% 197.83/31.51 | | | | | | | | | | | | | | | | | | | (7598) all_56_2 = e3
% 197.83/31.51 | | | | | | | | | | | | | | | | | | | (7599) op(e2, e3) = e3
% 197.83/31.51 | | | | | | | | | | | | | | | | | | |
% 197.83/31.51 | | | | | | | | | | | | | | | | | | | BETA: splitting (228) gives:
% 197.83/31.51 | | | | | | | | | | | | | | | | | | |
% 197.83/31.51 | | | | | | | | | | | | | | | | | | | Case 1:
% 197.83/31.51 | | | | | | | | | | | | | | | | | | | |
% 197.83/31.51 | | | | | | | | | | | | | | | | | | | | (7600) (all_56_1 = e3 & op(e3, e2) = e3) | (all_56_3 = e3
% 197.83/31.51 | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e3)
% 197.83/31.51 | | | | | | | | | | | | | | | | | | | |
% 197.83/31.51 | | | | | | | | | | | | | | | | | | | | BETA: splitting (7600) gives:
% 197.83/31.51 | | | | | | | | | | | | | | | | | | | |
% 197.83/31.51 | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.83/31.51 | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.51 | | | | | | | | | | | | | | | | | | | | | (7601) all_56_1 = e3 & op(e3, e2) = e3
% 197.83/31.51 | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.51 | | | | | | | | | | | | | | | | | | | | | ALPHA: (7601) implies:
% 197.83/31.51 | | | | | | | | | | | | | | | | | | | | | (7602) all_56_1 = e3
% 197.83/31.51 | | | | | | | | | | | | | | | | | | | | | (7603) op(e3, e2) = e3
% 197.83/31.51 | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.51 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (238) gives:
% 197.83/31.51 | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.51 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.83/31.51 | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.51 | | | | | | | | | | | | | | | | | | | | | | (7604) (all_57_3 = e3 & ~ (all_57_1 = e2) & ~ (all_57_8
% 197.83/31.51 | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_10 = e2) & ~ (all_57_12 =
% 197.83/31.51 | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_14 = e0) & op(e3, e3) =
% 197.83/31.51 | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e2) = e3 & op(e2, all_57_9) =
% 197.83/31.51 | | | | | | | | | | | | | | | | | | | | | | all_57_8 & op(e2, all_57_11) = all_57_10 &
% 197.83/31.51 | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_13) = all_57_12 & op(e2,
% 197.83/31.51 | | | | | | | | | | | | | | | | | | | | | | all_57_15) = all_57_14 & op(e2, e3) = all_57_9
% 197.83/31.51 | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = all_57_11 & op(e2, e1) =
% 197.83/31.51 | | | | | | | | | | | | | | | | | | | | | | all_57_13 & op(e2, e0) = all_57_15 &
% 197.83/31.51 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_8) & $i(all_57_9) &
% 197.83/31.51 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & $i(all_57_11) & $i(all_57_12) &
% 197.83/31.51 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13) & $i(all_57_14) & $i(all_57_15)) |
% 197.83/31.51 | | | | | | | | | | | | | | | | | | | | | | (all_57_5 = e3 & ~ (all_57_1 = e1) & ~
% 197.83/31.51 | | | | | | | | | | | | | | | | | | | | | | (all_57_16 = e3) & ~ (all_57_18 = e2) & ~
% 197.83/31.51 | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_22 = e0) & op(e3,
% 197.83/31.51 | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_1 & op(e3, e1) = e3 & op(e1,
% 197.83/31.51 | | | | | | | | | | | | | | | | | | | | | | all_57_17) = all_57_16 & op(e1, all_57_19) =
% 197.83/31.51 | | | | | | | | | | | | | | | | | | | | | | all_57_18 & op(e1, all_57_21) = all_57_20 &
% 197.83/31.51 | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_23) = all_57_22 & op(e1, e3) =
% 197.83/31.51 | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e1, e2) = all_57_19 & op(e1, e1)
% 197.83/31.51 | | | | | | | | | | | | | | | | | | | | | | = all_57_21 & op(e1, e0) = all_57_23 &
% 197.83/31.51 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_16) & $i(all_57_17) &
% 197.83/31.51 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_19) & $i(all_57_20) &
% 197.83/31.51 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_22) & $i(all_57_23)) |
% 197.83/31.51 | | | | | | | | | | | | | | | | | | | | | | (all_57_7 = e3 & ~ (all_57_1 = e0) & ~
% 197.83/31.51 | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 197.83/31.51 | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) & op(e3,
% 197.83/31.51 | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_1 & op(e3, e0) = e3 & op(e0,
% 197.83/31.51 | | | | | | | | | | | | | | | | | | | | | | all_57_25) = all_57_24 & op(e0, all_57_27) =
% 197.83/31.51 | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e0, all_57_29) = all_57_28 &
% 197.83/31.51 | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_31) = all_57_30 & op(e0, e3) =
% 197.83/31.51 | | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_27 & op(e0, e1)
% 197.83/31.51 | | | | | | | | | | | | | | | | | | | | | | = all_57_29 & op(e0, e0) = all_57_31 &
% 197.83/31.51 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_24) & $i(all_57_25) &
% 197.83/31.51 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_27) & $i(all_57_28) &
% 197.83/31.51 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29) & $i(all_57_30) & $i(all_57_31)) |
% 197.83/31.51 | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e2 & ~ (all_57_0 = e3) & ~ (all_57_2
% 197.83/31.51 | | | | | | | | | | | | | | | | | | | | | | = e2) & ~ (all_57_4 = e1) & ~ (all_57_6 =
% 197.83/31.51 | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_11 = e3) & op(e3, all_57_1) =
% 197.83/31.51 | | | | | | | | | | | | | | | | | | | | | | all_57_0 & op(e3, all_57_3) = all_57_2 & op(e3,
% 197.83/31.51 | | | | | | | | | | | | | | | | | | | | | | all_57_5) = all_57_4 & op(e3, all_57_7) =
% 197.83/31.51 | | | | | | | | | | | | | | | | | | | | | | all_57_6 & op(e3, e3) = all_57_1 & op(e3, e2) =
% 197.83/31.51 | | | | | | | | | | | | | | | | | | | | | | all_57_3 & op(e3, e1) = all_57_5 & op(e3, e0) =
% 197.83/31.51 | | | | | | | | | | | | | | | | | | | | | | all_57_7 & op(e2, e3) = e2 & op(e2, e2) =
% 197.83/31.51 | | | | | | | | | | | | | | | | | | | | | | all_57_11 & $i(all_57_0) & $i(all_57_1) &
% 197.83/31.51 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_2) & $i(all_57_3) & $i(all_57_4) &
% 197.83/31.51 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 197.83/31.51 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11))
% 197.83/31.51 | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.51 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7604) gives:
% 197.83/31.51 | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.51 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.83/31.51 | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.51 | | | | | | | | | | | | | | | | | | | | | | | (7605) (all_57_3 = e3 & ~ (all_57_1 = e2) & ~ (all_57_8
% 197.83/31.51 | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_10 = e2) & ~ (all_57_12 =
% 197.83/31.51 | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_14 = e0) & op(e3, e3) =
% 197.83/31.51 | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e2) = e3 & op(e2, all_57_9) =
% 197.83/31.51 | | | | | | | | | | | | | | | | | | | | | | | all_57_8 & op(e2, all_57_11) = all_57_10 &
% 197.83/31.51 | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_13) = all_57_12 & op(e2,
% 197.83/31.51 | | | | | | | | | | | | | | | | | | | | | | | all_57_15) = all_57_14 & op(e2, e3) = all_57_9
% 197.83/31.51 | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = all_57_11 & op(e2, e1) =
% 197.83/31.51 | | | | | | | | | | | | | | | | | | | | | | | all_57_13 & op(e2, e0) = all_57_15 &
% 197.83/31.51 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_8) & $i(all_57_9) &
% 197.83/31.51 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & $i(all_57_11) & $i(all_57_12) &
% 197.83/31.51 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13) & $i(all_57_14) & $i(all_57_15)) |
% 197.83/31.51 | | | | | | | | | | | | | | | | | | | | | | | (all_57_5 = e3 & ~ (all_57_1 = e1) & ~
% 197.83/31.51 | | | | | | | | | | | | | | | | | | | | | | | (all_57_16 = e3) & ~ (all_57_18 = e2) & ~
% 197.83/31.51 | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_22 = e0) & op(e3,
% 197.83/31.51 | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_1 & op(e3, e1) = e3 & op(e1,
% 197.83/31.51 | | | | | | | | | | | | | | | | | | | | | | | all_57_17) = all_57_16 & op(e1, all_57_19) =
% 197.83/31.51 | | | | | | | | | | | | | | | | | | | | | | | all_57_18 & op(e1, all_57_21) = all_57_20 &
% 197.83/31.51 | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_23) = all_57_22 & op(e1, e3) =
% 197.83/31.51 | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e1, e2) = all_57_19 & op(e1, e1)
% 197.83/31.51 | | | | | | | | | | | | | | | | | | | | | | | = all_57_21 & op(e1, e0) = all_57_23 &
% 197.83/31.51 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_16) & $i(all_57_17) &
% 197.83/31.51 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_19) & $i(all_57_20) &
% 197.83/31.51 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_22) & $i(all_57_23))
% 197.83/31.51 | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.51 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (158), (162), (169), (170), (227), (7572), (7573),
% 197.83/31.51 | | | | | | | | | | | | | | | | | | | | | | | (7574), (7585), (7605), (function-axioms) are
% 197.83/31.51 | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1903.
% 197.83/31.51 | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.51 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.83/31.51 | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.51 | | | | | | | | | | | | | | | | | | | | | | | (7606) (all_57_7 = e3 & ~ (all_57_1 = e0) & ~
% 197.83/31.51 | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 197.83/31.51 | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) & op(e3,
% 197.83/31.51 | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_1 & op(e3, e0) = e3 & op(e0,
% 197.83/31.51 | | | | | | | | | | | | | | | | | | | | | | | all_57_25) = all_57_24 & op(e0, all_57_27) =
% 197.83/31.51 | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e0, all_57_29) = all_57_28 &
% 197.83/31.51 | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_31) = all_57_30 & op(e0, e3) =
% 197.83/31.51 | | | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_27 & op(e0, e1)
% 197.83/31.51 | | | | | | | | | | | | | | | | | | | | | | | = all_57_29 & op(e0, e0) = all_57_31 &
% 197.83/31.51 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_24) & $i(all_57_25) &
% 197.83/31.51 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_27) & $i(all_57_28) &
% 197.83/31.51 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29) & $i(all_57_30) & $i(all_57_31)) |
% 197.83/31.51 | | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e2 & ~ (all_57_0 = e3) & ~ (all_57_2
% 197.83/31.51 | | | | | | | | | | | | | | | | | | | | | | | = e2) & ~ (all_57_4 = e1) & ~ (all_57_6 =
% 197.83/31.51 | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_11 = e3) & op(e3, all_57_1) =
% 197.83/31.51 | | | | | | | | | | | | | | | | | | | | | | | all_57_0 & op(e3, all_57_3) = all_57_2 & op(e3,
% 197.83/31.51 | | | | | | | | | | | | | | | | | | | | | | | all_57_5) = all_57_4 & op(e3, all_57_7) =
% 197.83/31.51 | | | | | | | | | | | | | | | | | | | | | | | all_57_6 & op(e3, e3) = all_57_1 & op(e3, e2) =
% 197.83/31.51 | | | | | | | | | | | | | | | | | | | | | | | all_57_3 & op(e3, e1) = all_57_5 & op(e3, e0) =
% 197.83/31.51 | | | | | | | | | | | | | | | | | | | | | | | all_57_7 & op(e2, e3) = e2 & op(e2, e2) =
% 197.83/31.51 | | | | | | | | | | | | | | | | | | | | | | | all_57_11 & $i(all_57_0) & $i(all_57_1) &
% 197.83/31.51 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_2) & $i(all_57_3) & $i(all_57_4) &
% 197.83/31.51 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 197.83/31.51 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11))
% 197.83/31.51 | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.51 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (167), (168), (7529), (7571), (7606),
% 197.83/31.51 | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 197.83/31.51 | | | | | | | | | | | | | | | | | | | | | | | #1927.
% 197.83/31.51 | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.51 | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.83/31.51 | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.51 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.83/31.51 | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.51 | | | | | | | | | | | | | | | | | | | | | | (7607) (all_57_13 = e2 & ~ (all_57_11 = e1) & ~
% 197.83/31.51 | | | | | | | | | | | | | | | | | | | | | | (all_57_16 = e3) & ~ (all_57_18 = e2) & ~
% 197.83/31.51 | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_22 = e0) & op(e2,
% 197.83/31.51 | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_11 & op(e2, e1) = e2 & op(e1,
% 197.83/31.51 | | | | | | | | | | | | | | | | | | | | | | all_57_17) = all_57_16 & op(e1, all_57_19) =
% 197.83/31.51 | | | | | | | | | | | | | | | | | | | | | | all_57_18 & op(e1, all_57_21) = all_57_20 &
% 197.83/31.51 | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_23) = all_57_22 & op(e1, e3) =
% 197.83/31.51 | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e1, e2) = all_57_19 & op(e1, e1)
% 197.83/31.51 | | | | | | | | | | | | | | | | | | | | | | = all_57_21 & op(e1, e0) = all_57_23 &
% 197.83/31.51 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_16) & $i(all_57_17) &
% 197.83/31.51 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_19) & $i(all_57_20) &
% 197.83/31.51 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_22) & $i(all_57_23)) |
% 197.83/31.51 | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e2 & ~ (all_57_11 = e0) & ~
% 197.83/31.51 | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 197.83/31.51 | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) & op(e2,
% 197.83/31.51 | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_11 & op(e2, e0) = e2 & op(e0,
% 197.83/31.51 | | | | | | | | | | | | | | | | | | | | | | all_57_25) = all_57_24 & op(e0, all_57_27) =
% 197.83/31.51 | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e0, all_57_29) = all_57_28 &
% 197.83/31.51 | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_31) = all_57_30 & op(e0, e3) =
% 197.83/31.51 | | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_27 & op(e0, e1)
% 197.83/31.51 | | | | | | | | | | | | | | | | | | | | | | = all_57_29 & op(e0, e0) = all_57_31 &
% 197.83/31.51 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_24) & $i(all_57_25) &
% 197.83/31.51 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_27) & $i(all_57_28) &
% 197.83/31.51 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29) & $i(all_57_30) & $i(all_57_31)) |
% 197.83/31.51 | | | | | | | | | | | | | | | | | | | | | | (all_57_17 = e1 & ~ (all_57_0 = e3) & ~
% 197.83/31.51 | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e2) & ~ (all_57_4 = e1) & ~
% 197.83/31.51 | | | | | | | | | | | | | | | | | | | | | | (all_57_6 = e0) & ~ (all_57_21 = e3) & op(e3,
% 197.83/31.51 | | | | | | | | | | | | | | | | | | | | | | all_57_1) = all_57_0 & op(e3, all_57_3) =
% 197.83/31.51 | | | | | | | | | | | | | | | | | | | | | | all_57_2 & op(e3, all_57_5) = all_57_4 & op(e3,
% 197.83/31.51 | | | | | | | | | | | | | | | | | | | | | | all_57_7) = all_57_6 & op(e3, e3) = all_57_1 &
% 197.83/31.51 | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_3 & op(e3, e1) = all_57_5 &
% 197.83/31.51 | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_7 & op(e1, e3) = e1 & op(e1,
% 197.83/31.51 | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_21 & $i(all_57_0) & $i(all_57_1)
% 197.83/31.51 | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_2) & $i(all_57_3) & $i(all_57_4) &
% 197.83/31.51 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 197.83/31.51 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21)) | (all_57_19 = e1 & ~ (all_57_8
% 197.83/31.51 | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_10 = e2) & ~ (all_57_12 =
% 197.83/31.51 | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_14 = e0) & ~ (all_57_21 =
% 197.83/31.51 | | | | | | | | | | | | | | | | | | | | | | e2) & op(e2, all_57_9) = all_57_8 & op(e2,
% 197.83/31.51 | | | | | | | | | | | | | | | | | | | | | | all_57_11) = all_57_10 & op(e2, all_57_13) =
% 197.83/31.51 | | | | | | | | | | | | | | | | | | | | | | all_57_12 & op(e2, all_57_15) = all_57_14 &
% 197.83/31.51 | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_9 & op(e2, e2) = all_57_11 &
% 197.83/31.51 | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_57_13 & op(e2, e0) = all_57_15
% 197.83/31.51 | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e1 & op(e1, e1) = all_57_21 &
% 197.83/31.51 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8) & $i(all_57_9) & $i(all_57_10) &
% 197.83/31.51 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_12) & $i(all_57_13) &
% 197.83/31.51 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & $i(all_57_15) & $i(all_57_21)) |
% 197.83/31.51 | | | | | | | | | | | | | | | | | | | | | | (op(e0, e0) = all_57_31 & $i(all_57_31) &
% 197.83/31.51 | | | | | | | | | | | | | | | | | | | | | | ((all_57_23 = e1 & ~ (all_57_21 = e0) & ~
% 197.83/31.51 | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 197.83/31.51 | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) &
% 197.83/31.51 | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_21 & op(e1, e0) = e1 &
% 197.83/31.51 | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_25) = all_57_24 & op(e0,
% 197.83/31.51 | | | | | | | | | | | | | | | | | | | | | | all_57_27) = all_57_26 & op(e0, all_57_29)
% 197.83/31.51 | | | | | | | | | | | | | | | | | | | | | | = all_57_28 & op(e0, all_57_31) = all_57_30
% 197.83/31.51 | | | | | | | | | | | | | | | | | | | | | | & op(e0, e3) = all_57_25 & op(e0, e2) =
% 197.83/31.51 | | | | | | | | | | | | | | | | | | | | | | all_57_27 & op(e0, e1) = all_57_29 &
% 197.83/31.51 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_24) &
% 197.83/31.51 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_25) & $i(all_57_26) &
% 197.83/31.51 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27) & $i(all_57_28) &
% 197.83/31.51 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29) & $i(all_57_30)) | (all_57_25
% 197.83/31.51 | | | | | | | | | | | | | | | | | | | | | | = e0 & ~ (all_57_0 = e3) & ~ (all_57_2 =
% 197.83/31.51 | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_4 = e1) & ~ (all_57_6 =
% 197.83/31.51 | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_31 = e3) & op(e3,
% 197.83/31.51 | | | | | | | | | | | | | | | | | | | | | | all_57_1) = all_57_0 & op(e3, all_57_3) =
% 197.83/31.51 | | | | | | | | | | | | | | | | | | | | | | all_57_2 & op(e3, all_57_5) = all_57_4 &
% 197.83/31.51 | | | | | | | | | | | | | | | | | | | | | | op(e3, all_57_7) = all_57_6 & op(e3, e3) =
% 197.83/31.51 | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e2) = all_57_3 & op(e3,
% 197.83/31.51 | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_5 & op(e3, e0) = all_57_7 &
% 197.83/31.51 | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_0) &
% 197.83/31.51 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_2) & $i(all_57_3) &
% 197.83/31.51 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4) & $i(all_57_5) & $i(all_57_6) &
% 197.83/31.51 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7)) | (all_57_27 = e0 & ~
% 197.83/31.51 | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e3) & ~ (all_57_10 = e2) & ~
% 197.83/31.51 | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e1) & ~ (all_57_14 = e0) & ~
% 197.83/31.51 | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e2) & op(e2, all_57_9) =
% 197.83/31.51 | | | | | | | | | | | | | | | | | | | | | | all_57_8 & op(e2, all_57_11) = all_57_10 &
% 197.83/31.51 | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_13) = all_57_12 & op(e2,
% 197.83/31.51 | | | | | | | | | | | | | | | | | | | | | | all_57_15) = all_57_14 & op(e2, e3) =
% 197.83/31.51 | | | | | | | | | | | | | | | | | | | | | | all_57_9 & op(e2, e2) = all_57_11 & op(e2,
% 197.83/31.51 | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_13 & op(e2, e0) = all_57_15 &
% 197.83/31.51 | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_8) &
% 197.83/31.51 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9) & $i(all_57_10) & $i(all_57_11)
% 197.83/31.51 | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_12) & $i(all_57_13) &
% 197.83/31.51 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & $i(all_57_15)) | (all_57_29
% 197.83/31.51 | | | | | | | | | | | | | | | | | | | | | | = e0 & ~ (all_57_16 = e3) & ~ (all_57_18 =
% 197.83/31.51 | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_20 = e1) & ~ (all_57_22
% 197.83/31.51 | | | | | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_31 = e1) & op(e1,
% 197.83/31.51 | | | | | | | | | | | | | | | | | | | | | | all_57_17) = all_57_16 & op(e1, all_57_19)
% 197.83/31.51 | | | | | | | | | | | | | | | | | | | | | | = all_57_18 & op(e1, all_57_21) = all_57_20
% 197.83/31.51 | | | | | | | | | | | | | | | | | | | | | | & op(e1, all_57_23) = all_57_22 & op(e1, e3)
% 197.83/31.51 | | | | | | | | | | | | | | | | | | | | | | = all_57_17 & op(e1, e2) = all_57_19 &
% 197.83/31.51 | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_21 & op(e1, e0) =
% 197.83/31.51 | | | | | | | | | | | | | | | | | | | | | | all_57_23 & op(e0, e1) = e0 & $i(all_57_16)
% 197.83/31.51 | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_17) & $i(all_57_18) &
% 197.83/31.51 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_20) &
% 197.83/31.51 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_22) &
% 197.83/31.51 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23))))
% 197.83/31.51 | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.51 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7607) gives:
% 197.83/31.51 | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.51 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.83/31.51 | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.51 | | | | | | | | | | | | | | | | | | | | | | | (7608) (all_57_13 = e2 & ~ (all_57_11 = e1) & ~
% 197.83/31.51 | | | | | | | | | | | | | | | | | | | | | | | (all_57_16 = e3) & ~ (all_57_18 = e2) & ~
% 197.83/31.51 | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_22 = e0) & op(e2,
% 197.83/31.51 | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_11 & op(e2, e1) = e2 & op(e1,
% 197.83/31.51 | | | | | | | | | | | | | | | | | | | | | | | all_57_17) = all_57_16 & op(e1, all_57_19) =
% 197.83/31.51 | | | | | | | | | | | | | | | | | | | | | | | all_57_18 & op(e1, all_57_21) = all_57_20 &
% 197.83/31.51 | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_23) = all_57_22 & op(e1, e3) =
% 197.83/31.51 | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e1, e2) = all_57_19 & op(e1, e1)
% 197.83/31.51 | | | | | | | | | | | | | | | | | | | | | | | = all_57_21 & op(e1, e0) = all_57_23 &
% 197.83/31.51 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_16) & $i(all_57_17) &
% 197.83/31.51 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_19) & $i(all_57_20) &
% 197.83/31.51 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_22) & $i(all_57_23)) |
% 197.83/31.51 | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e2 & ~ (all_57_11 = e0) & ~
% 197.83/31.51 | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 197.83/31.51 | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) & op(e2,
% 197.83/31.51 | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_11 & op(e2, e0) = e2 & op(e0,
% 197.83/31.51 | | | | | | | | | | | | | | | | | | | | | | | all_57_25) = all_57_24 & op(e0, all_57_27) =
% 197.83/31.51 | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e0, all_57_29) = all_57_28 &
% 197.83/31.51 | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_31) = all_57_30 & op(e0, e3) =
% 197.83/31.51 | | | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_27 & op(e0, e1)
% 197.83/31.51 | | | | | | | | | | | | | | | | | | | | | | | = all_57_29 & op(e0, e0) = all_57_31 &
% 197.83/31.51 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_24) & $i(all_57_25) &
% 197.83/31.51 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_27) & $i(all_57_28) &
% 197.83/31.51 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29) & $i(all_57_30) & $i(all_57_31))
% 197.83/31.51 | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.51 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7608) gives:
% 197.83/31.51 | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.51 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.83/31.51 | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.51 | | | | | | | | | | | | | | | | | | | | | | | | (7609) all_57_13 = e2 & ~ (all_57_11 = e1) & ~
% 197.83/31.51 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_16 = e3) & ~ (all_57_18 = e2) & ~
% 197.83/31.51 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_22 = e0) & op(e2,
% 197.83/31.51 | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_11 & op(e2, e1) = e2 & op(e1,
% 197.83/31.51 | | | | | | | | | | | | | | | | | | | | | | | | all_57_17) = all_57_16 & op(e1, all_57_19) =
% 197.83/31.51 | | | | | | | | | | | | | | | | | | | | | | | | all_57_18 & op(e1, all_57_21) = all_57_20 & op(e1,
% 197.83/31.51 | | | | | | | | | | | | | | | | | | | | | | | | all_57_23) = all_57_22 & op(e1, e3) = all_57_17
% 197.83/31.51 | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = all_57_19 & op(e1, e1) = all_57_21
% 197.83/31.51 | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e0) = all_57_23 & $i(all_57_11) &
% 197.83/31.51 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_16) & $i(all_57_17) & $i(all_57_18) &
% 197.83/31.51 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_20) & $i(all_57_21) &
% 197.83/31.51 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_23)
% 197.83/31.51 | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.51 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7609) implies:
% 197.83/31.51 | | | | | | | | | | | | | | | | | | | | | | | | (7610) op(e2, e1) = e2
% 197.83/31.51 | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.51 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_9, e2,
% 197.83/31.51 | | | | | | | | | | | | | | | | | | | | | | | | e1, e2, simplifying with (165), (7610) gives:
% 197.83/31.51 | | | | | | | | | | | | | | | | | | | | | | | | (7611) all_52_9 = e2
% 197.83/31.51 | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.51 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7575), (7611) imply:
% 197.83/31.51 | | | | | | | | | | | | | | | | | | | | | | | | (7612) $false
% 197.83/31.51 | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.51 | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (7612) is inconsistent.
% 197.83/31.51 | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.51 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.83/31.51 | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.51 | | | | | | | | | | | | | | | | | | | | | | | | (7613) all_57_15 = e2 & ~ (all_57_11 = e0) & ~
% 197.83/31.51 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 197.83/31.51 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) & op(e2,
% 197.83/31.51 | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_11 & op(e2, e0) = e2 & op(e0,
% 197.83/31.51 | | | | | | | | | | | | | | | | | | | | | | | | all_57_25) = all_57_24 & op(e0, all_57_27) =
% 197.83/31.51 | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e0, all_57_29) = all_57_28 & op(e0,
% 197.83/31.51 | | | | | | | | | | | | | | | | | | | | | | | | all_57_31) = all_57_30 & op(e0, e3) = all_57_25
% 197.83/31.51 | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e2) = all_57_27 & op(e0, e1) = all_57_29
% 197.83/31.51 | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = all_57_31 & $i(all_57_11) &
% 197.83/31.51 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_24) & $i(all_57_25) & $i(all_57_26) &
% 197.83/31.51 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27) & $i(all_57_28) & $i(all_57_29) &
% 197.83/31.51 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30) & $i(all_57_31)
% 197.83/31.51 | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.51 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7613) implies:
% 197.83/31.51 | | | | | | | | | | | | | | | | | | | | | | | | (7614) op(e2, e0) = e2
% 197.83/31.51 | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.51 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (7576), (7614), (function-axioms) are
% 197.83/31.51 | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1941.
% 197.83/31.51 | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.51 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.83/31.51 | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.51 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.83/31.51 | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.51 | | | | | | | | | | | | | | | | | | | | | | | (7615) (all_57_17 = e1 & ~ (all_57_0 = e3) & ~
% 197.83/31.51 | | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e2) & ~ (all_57_4 = e1) & ~
% 197.83/31.51 | | | | | | | | | | | | | | | | | | | | | | | (all_57_6 = e0) & ~ (all_57_21 = e3) & op(e3,
% 197.83/31.51 | | | | | | | | | | | | | | | | | | | | | | | all_57_1) = all_57_0 & op(e3, all_57_3) =
% 197.83/31.51 | | | | | | | | | | | | | | | | | | | | | | | all_57_2 & op(e3, all_57_5) = all_57_4 & op(e3,
% 197.83/31.51 | | | | | | | | | | | | | | | | | | | | | | | all_57_7) = all_57_6 & op(e3, e3) = all_57_1 &
% 197.83/31.51 | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_3 & op(e3, e1) = all_57_5 &
% 197.83/31.51 | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_7 & op(e1, e3) = e1 & op(e1,
% 197.83/31.51 | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_21 & $i(all_57_0) & $i(all_57_1)
% 197.83/31.51 | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_2) & $i(all_57_3) & $i(all_57_4) &
% 197.83/31.51 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 197.83/31.51 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21)) | (all_57_19 = e1 & ~ (all_57_8
% 197.83/31.51 | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_10 = e2) & ~ (all_57_12 =
% 197.83/31.51 | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_14 = e0) & ~ (all_57_21 =
% 197.83/31.51 | | | | | | | | | | | | | | | | | | | | | | | e2) & op(e2, all_57_9) = all_57_8 & op(e2,
% 197.83/31.51 | | | | | | | | | | | | | | | | | | | | | | | all_57_11) = all_57_10 & op(e2, all_57_13) =
% 197.83/31.51 | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & op(e2, all_57_15) = all_57_14 &
% 197.83/31.51 | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_9 & op(e2, e2) = all_57_11 &
% 197.83/31.51 | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_57_13 & op(e2, e0) = all_57_15
% 197.83/31.51 | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e1 & op(e1, e1) = all_57_21 &
% 197.83/31.51 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8) & $i(all_57_9) & $i(all_57_10) &
% 197.83/31.51 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_12) & $i(all_57_13) &
% 197.83/31.51 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & $i(all_57_15) & $i(all_57_21)) |
% 197.83/31.51 | | | | | | | | | | | | | | | | | | | | | | | (op(e0, e0) = all_57_31 & $i(all_57_31) &
% 197.83/31.51 | | | | | | | | | | | | | | | | | | | | | | | ((all_57_23 = e1 & ~ (all_57_21 = e0) & ~
% 197.83/31.51 | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 197.83/31.51 | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) &
% 197.83/31.51 | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_21 & op(e1, e0) = e1 &
% 197.83/31.51 | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_25) = all_57_24 & op(e0,
% 197.83/31.51 | | | | | | | | | | | | | | | | | | | | | | | all_57_27) = all_57_26 & op(e0, all_57_29)
% 197.83/31.51 | | | | | | | | | | | | | | | | | | | | | | | = all_57_28 & op(e0, all_57_31) = all_57_30
% 197.83/31.51 | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e3) = all_57_25 & op(e0, e2) =
% 197.83/31.51 | | | | | | | | | | | | | | | | | | | | | | | all_57_27 & op(e0, e1) = all_57_29 &
% 197.83/31.51 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_24) &
% 197.83/31.51 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_25) & $i(all_57_26) &
% 197.83/31.51 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27) & $i(all_57_28) &
% 197.83/31.51 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29) & $i(all_57_30)) | (all_57_25
% 197.83/31.51 | | | | | | | | | | | | | | | | | | | | | | | = e0 & ~ (all_57_0 = e3) & ~ (all_57_2 =
% 197.83/31.51 | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_4 = e1) & ~ (all_57_6 =
% 197.83/31.51 | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_31 = e3) & op(e3,
% 197.83/31.51 | | | | | | | | | | | | | | | | | | | | | | | all_57_1) = all_57_0 & op(e3, all_57_3) =
% 197.83/31.51 | | | | | | | | | | | | | | | | | | | | | | | all_57_2 & op(e3, all_57_5) = all_57_4 &
% 197.83/31.51 | | | | | | | | | | | | | | | | | | | | | | | op(e3, all_57_7) = all_57_6 & op(e3, e3) =
% 197.83/31.51 | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e2) = all_57_3 & op(e3,
% 197.83/31.51 | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_5 & op(e3, e0) = all_57_7 &
% 197.83/31.51 | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_0) &
% 197.83/31.51 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_2) & $i(all_57_3) &
% 197.83/31.51 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4) & $i(all_57_5) & $i(all_57_6) &
% 197.83/31.51 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7)) | (all_57_27 = e0 & ~
% 197.83/31.51 | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e3) & ~ (all_57_10 = e2) & ~
% 197.83/31.51 | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e1) & ~ (all_57_14 = e0) & ~
% 197.83/31.51 | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e2) & op(e2, all_57_9) =
% 197.83/31.51 | | | | | | | | | | | | | | | | | | | | | | | all_57_8 & op(e2, all_57_11) = all_57_10 &
% 197.83/31.51 | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_13) = all_57_12 & op(e2,
% 197.83/31.51 | | | | | | | | | | | | | | | | | | | | | | | all_57_15) = all_57_14 & op(e2, e3) =
% 197.83/31.51 | | | | | | | | | | | | | | | | | | | | | | | all_57_9 & op(e2, e2) = all_57_11 & op(e2,
% 197.83/31.51 | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_13 & op(e2, e0) = all_57_15 &
% 197.83/31.51 | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_8) &
% 197.83/31.51 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9) & $i(all_57_10) & $i(all_57_11)
% 197.83/31.51 | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_12) & $i(all_57_13) &
% 197.83/31.51 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & $i(all_57_15)) | (all_57_29
% 197.83/31.51 | | | | | | | | | | | | | | | | | | | | | | | = e0 & ~ (all_57_16 = e3) & ~ (all_57_18 =
% 197.83/31.51 | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_20 = e1) & ~ (all_57_22
% 197.83/31.51 | | | | | | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_31 = e1) & op(e1,
% 197.83/31.51 | | | | | | | | | | | | | | | | | | | | | | | all_57_17) = all_57_16 & op(e1, all_57_19)
% 197.83/31.51 | | | | | | | | | | | | | | | | | | | | | | | = all_57_18 & op(e1, all_57_21) = all_57_20
% 197.83/31.51 | | | | | | | | | | | | | | | | | | | | | | | & op(e1, all_57_23) = all_57_22 & op(e1, e3)
% 197.83/31.51 | | | | | | | | | | | | | | | | | | | | | | | = all_57_17 & op(e1, e2) = all_57_19 &
% 197.83/31.51 | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_21 & op(e1, e0) =
% 197.83/31.51 | | | | | | | | | | | | | | | | | | | | | | | all_57_23 & op(e0, e1) = e0 & $i(all_57_16)
% 197.83/31.51 | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_17) & $i(all_57_18) &
% 197.83/31.51 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_20) &
% 197.83/31.51 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_22) &
% 197.83/31.51 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23))))
% 197.83/31.51 | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.51 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7615) gives:
% 197.83/31.51 | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.51 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.83/31.51 | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.51 | | | | | | | | | | | | | | | | | | | | | | | | (7616) all_57_17 = e1 & ~ (all_57_0 = e3) & ~ (all_57_2
% 197.83/31.51 | | | | | | | | | | | | | | | | | | | | | | | | = e2) & ~ (all_57_4 = e1) & ~ (all_57_6 = e0)
% 197.83/31.51 | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_21 = e3) & op(e3, all_57_1) =
% 197.83/31.51 | | | | | | | | | | | | | | | | | | | | | | | | all_57_0 & op(e3, all_57_3) = all_57_2 & op(e3,
% 197.83/31.51 | | | | | | | | | | | | | | | | | | | | | | | | all_57_5) = all_57_4 & op(e3, all_57_7) =
% 197.83/31.51 | | | | | | | | | | | | | | | | | | | | | | | | all_57_6 & op(e3, e3) = all_57_1 & op(e3, e2) =
% 197.83/31.51 | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 & op(e3, e1) = all_57_5 & op(e3, e0) =
% 197.83/31.51 | | | | | | | | | | | | | | | | | | | | | | | | all_57_7 & op(e1, e3) = e1 & op(e1, e1) =
% 197.83/31.51 | | | | | | | | | | | | | | | | | | | | | | | | all_57_21 & $i(all_57_0) & $i(all_57_1) &
% 197.83/31.51 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_2) & $i(all_57_3) & $i(all_57_4) &
% 197.83/31.51 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 197.83/31.51 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21)
% 197.83/31.51 | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.51 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7595), (7616), (function-axioms) are inconsistent
% 197.83/31.51 | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1926.
% 197.83/31.51 | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.51 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.83/31.51 | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.52 | | | | | | | | | | | | | | | | | | | | | | | | (7617) (all_57_19 = e1 & ~ (all_57_8 = e3) & ~
% 197.83/31.52 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e2) & ~ (all_57_12 = e1) & ~
% 197.83/31.52 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e0) & ~ (all_57_21 = e2) & op(e2,
% 197.83/31.52 | | | | | | | | | | | | | | | | | | | | | | | | all_57_9) = all_57_8 & op(e2, all_57_11) =
% 197.83/31.52 | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e2, all_57_13) = all_57_12 &
% 197.83/31.52 | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_15) = all_57_14 & op(e2, e3) =
% 197.83/31.52 | | | | | | | | | | | | | | | | | | | | | | | | all_57_9 & op(e2, e2) = all_57_11 & op(e2, e1) =
% 197.83/31.52 | | | | | | | | | | | | | | | | | | | | | | | | all_57_13 & op(e2, e0) = all_57_15 & op(e1, e2)
% 197.83/31.52 | | | | | | | | | | | | | | | | | | | | | | | | = e1 & op(e1, e1) = all_57_21 & $i(all_57_8) &
% 197.83/31.52 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9) & $i(all_57_10) & $i(all_57_11) &
% 197.83/31.52 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & $i(all_57_13) & $i(all_57_14) &
% 197.83/31.52 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & $i(all_57_21)) | (op(e0, e0) =
% 197.83/31.52 | | | | | | | | | | | | | | | | | | | | | | | | all_57_31 & $i(all_57_31) & ((all_57_23 = e1 &
% 197.83/31.52 | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_21 = e0) & ~ (all_57_24 = e3) &
% 197.83/31.52 | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_26 = e2) & ~ (all_57_28 = e1) &
% 197.83/31.52 | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_30 = e0) & op(e1, e1) = all_57_21
% 197.83/31.52 | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e0) = e1 & op(e0, all_57_25) =
% 197.83/31.52 | | | | | | | | | | | | | | | | | | | | | | | | all_57_24 & op(e0, all_57_27) = all_57_26 &
% 197.83/31.52 | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_29) = all_57_28 & op(e0,
% 197.83/31.52 | | | | | | | | | | | | | | | | | | | | | | | | all_57_31) = all_57_30 & op(e0, e3) =
% 197.83/31.52 | | | | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_27 & op(e0,
% 197.83/31.52 | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_29 & $i(all_57_21) &
% 197.83/31.52 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_24) & $i(all_57_25) &
% 197.83/31.52 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_27) &
% 197.83/31.52 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28) & $i(all_57_29) &
% 197.83/31.52 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_25 = e0 & ~
% 197.83/31.52 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_0 = e3) & ~ (all_57_2 = e2) & ~
% 197.83/31.52 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1) & ~ (all_57_6 = e0) & ~
% 197.83/31.52 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e3) & op(e3, all_57_1) =
% 197.83/31.52 | | | | | | | | | | | | | | | | | | | | | | | | all_57_0 & op(e3, all_57_3) = all_57_2 &
% 197.83/31.52 | | | | | | | | | | | | | | | | | | | | | | | | op(e3, all_57_5) = all_57_4 & op(e3,
% 197.83/31.52 | | | | | | | | | | | | | | | | | | | | | | | | all_57_7) = all_57_6 & op(e3, e3) =
% 197.83/31.52 | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e2) = all_57_3 & op(e3,
% 197.83/31.52 | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_5 & op(e3, e0) = all_57_7 &
% 197.83/31.52 | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_0) &
% 197.83/31.52 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_2) & $i(all_57_3) &
% 197.83/31.52 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4) & $i(all_57_5) & $i(all_57_6) &
% 197.83/31.52 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7)) | (all_57_27 = e0 & ~
% 197.83/31.52 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e3) & ~ (all_57_10 = e2) & ~
% 197.83/31.52 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e1) & ~ (all_57_14 = e0) & ~
% 197.83/31.52 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e2) & op(e2, all_57_9) =
% 197.83/31.52 | | | | | | | | | | | | | | | | | | | | | | | | all_57_8 & op(e2, all_57_11) = all_57_10 &
% 197.83/31.52 | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_13) = all_57_12 & op(e2,
% 197.83/31.52 | | | | | | | | | | | | | | | | | | | | | | | | all_57_15) = all_57_14 & op(e2, e3) =
% 197.83/31.52 | | | | | | | | | | | | | | | | | | | | | | | | all_57_9 & op(e2, e2) = all_57_11 & op(e2,
% 197.83/31.52 | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_13 & op(e2, e0) = all_57_15 &
% 197.83/31.52 | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_8) &
% 197.83/31.52 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9) & $i(all_57_10) & $i(all_57_11)
% 197.83/31.52 | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_12) & $i(all_57_13) &
% 197.83/31.52 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & $i(all_57_15)) | (all_57_29
% 197.83/31.52 | | | | | | | | | | | | | | | | | | | | | | | | = e0 & ~ (all_57_16 = e3) & ~ (all_57_18 =
% 197.83/31.52 | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_20 = e1) & ~ (all_57_22
% 197.83/31.52 | | | | | | | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_31 = e1) & op(e1,
% 197.83/31.52 | | | | | | | | | | | | | | | | | | | | | | | | all_57_17) = all_57_16 & op(e1, all_57_19)
% 197.83/31.52 | | | | | | | | | | | | | | | | | | | | | | | | = all_57_18 & op(e1, all_57_21) = all_57_20
% 197.83/31.52 | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, all_57_23) = all_57_22 & op(e1, e3)
% 197.83/31.52 | | | | | | | | | | | | | | | | | | | | | | | | = all_57_17 & op(e1, e2) = all_57_19 &
% 197.83/31.52 | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_21 & op(e1, e0) =
% 197.83/31.52 | | | | | | | | | | | | | | | | | | | | | | | | all_57_23 & op(e0, e1) = e0 & $i(all_57_16)
% 197.83/31.52 | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_17) & $i(all_57_18) &
% 197.83/31.52 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_20) &
% 197.83/31.52 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_22) &
% 197.83/31.52 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23))))
% 197.83/31.52 | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.52 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7617) gives:
% 197.83/31.52 | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.52 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.83/31.52 | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.52 | | | | | | | | | | | | | | | | | | | | | | | | | (7618) all_57_19 = e1 & ~ (all_57_8 = e3) & ~
% 197.83/31.52 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e2) & ~ (all_57_12 = e1) & ~
% 197.83/31.52 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e0) & ~ (all_57_21 = e2) & op(e2,
% 197.83/31.52 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_9) = all_57_8 & op(e2, all_57_11) =
% 197.83/31.52 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e2, all_57_13) = all_57_12 & op(e2,
% 197.83/31.52 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15) = all_57_14 & op(e2, e3) = all_57_9 &
% 197.83/31.52 | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_11 & op(e2, e1) = all_57_13 &
% 197.83/31.52 | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_15 & op(e1, e2) = e1 & op(e1,
% 197.83/31.52 | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_21 & $i(all_57_8) & $i(all_57_9) &
% 197.83/31.52 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & $i(all_57_11) & $i(all_57_12) &
% 197.83/31.52 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13) & $i(all_57_14) & $i(all_57_15) &
% 197.83/31.52 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21)
% 197.83/31.52 | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.52 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7618) implies:
% 197.83/31.52 | | | | | | | | | | | | | | | | | | | | | | | | | (7619) ~ (all_57_10 = e2)
% 197.83/31.52 | | | | | | | | | | | | | | | | | | | | | | | | | (7620) op(e2, e2) = all_57_11
% 197.83/31.52 | | | | | | | | | | | | | | | | | | | | | | | | | (7621) op(e2, all_57_11) = all_57_10
% 197.83/31.52 | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.52 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (158), (162), (170), (227), (7572), (7573),
% 197.83/31.52 | | | | | | | | | | | | | | | | | | | | | | | | | (7574), (7619), (7620), (7621), (function-axioms)
% 197.83/31.52 | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1967.
% 197.83/31.52 | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.52 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.83/31.52 | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.52 | | | | | | | | | | | | | | | | | | | | | | | | | (7622) op(e0, e0) = all_57_31 & $i(all_57_31) &
% 197.83/31.52 | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_23 = e1 & ~ (all_57_21 = e0) & ~
% 197.83/31.52 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 197.83/31.52 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) &
% 197.83/31.52 | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_21 & op(e1, e0) = e1 &
% 197.83/31.52 | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_25) = all_57_24 & op(e0,
% 197.83/31.52 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27) = all_57_26 & op(e0, all_57_29) =
% 197.83/31.52 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_28 & op(e0, all_57_31) = all_57_30 &
% 197.83/31.52 | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_25 & op(e0, e2) =
% 197.83/31.52 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27 & op(e0, e1) = all_57_29 &
% 197.83/31.52 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_24) & $i(all_57_25)
% 197.83/31.52 | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_26) & $i(all_57_27) &
% 197.83/31.52 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28) & $i(all_57_29) & $i(all_57_30))
% 197.83/31.52 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_25 = e0 & ~ (all_57_0 = e3) & ~
% 197.83/31.52 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e2) & ~ (all_57_4 = e1) & ~
% 197.83/31.52 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_6 = e0) & ~ (all_57_31 = e3) & op(e3,
% 197.83/31.52 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1) = all_57_0 & op(e3, all_57_3) =
% 197.83/31.52 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_2 & op(e3, all_57_5) = all_57_4 &
% 197.83/31.52 | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, all_57_7) = all_57_6 & op(e3, e3) =
% 197.83/31.52 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e2) = all_57_3 & op(e3, e1)
% 197.83/31.52 | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_5 & op(e3, e0) = all_57_7 & op(e0,
% 197.83/31.52 | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e0 & $i(all_57_0) & $i(all_57_1) &
% 197.83/31.52 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_2) & $i(all_57_3) & $i(all_57_4) &
% 197.83/31.52 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_6) & $i(all_57_7)) |
% 197.83/31.52 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_27 = e0 & ~ (all_57_8 = e3) & ~
% 197.83/31.52 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e2) & ~ (all_57_12 = e1) & ~
% 197.83/31.52 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e0) & ~ (all_57_31 = e2) &
% 197.83/31.52 | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_9) = all_57_8 & op(e2,
% 197.83/31.52 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_11) = all_57_10 & op(e2, all_57_13) =
% 197.83/31.52 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & op(e2, all_57_15) = all_57_14 &
% 197.83/31.52 | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_9 & op(e2, e2) = all_57_11
% 197.83/31.52 | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = all_57_13 & op(e2, e0) =
% 197.83/31.52 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15 & op(e0, e2) = e0 & $i(all_57_8) &
% 197.83/31.52 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9) & $i(all_57_10) & $i(all_57_11) &
% 197.83/31.52 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & $i(all_57_13) & $i(all_57_14)
% 197.83/31.52 | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_15)) | (all_57_29 = e0 & ~
% 197.83/31.52 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_16 = e3) & ~ (all_57_18 = e2) & ~
% 197.83/31.52 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_22 = e0) & ~
% 197.83/31.52 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e1) & op(e1, all_57_17) =
% 197.83/31.52 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_16 & op(e1, all_57_19) = all_57_18 &
% 197.83/31.52 | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_21) = all_57_20 & op(e1,
% 197.83/31.52 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23) = all_57_22 & op(e1, e3) =
% 197.83/31.52 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e1, e2) = all_57_19 & op(e1,
% 197.83/31.52 | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_21 & op(e1, e0) = all_57_23 &
% 197.83/31.52 | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_16) &
% 197.83/31.52 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_17) & $i(all_57_18) & $i(all_57_19)
% 197.83/31.52 | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_20) & $i(all_57_21) &
% 197.83/31.52 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_23)))
% 197.83/31.52 | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.52 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7622) implies:
% 197.83/31.52 | | | | | | | | | | | | | | | | | | | | | | | | | (7623) op(e0, e0) = all_57_31
% 197.83/31.52 | | | | | | | | | | | | | | | | | | | | | | | | | (7624) (all_57_23 = e1 & ~ (all_57_21 = e0) & ~
% 197.83/31.52 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 197.83/31.52 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) & op(e1,
% 197.83/31.52 | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_21 & op(e1, e0) = e1 & op(e0,
% 197.83/31.52 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25) = all_57_24 & op(e0, all_57_27) =
% 197.83/31.52 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e0, all_57_29) = all_57_28 &
% 197.83/31.52 | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_31) = all_57_30 & op(e0, e3) =
% 197.83/31.52 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_27 & op(e0, e1)
% 197.83/31.52 | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_29 & $i(all_57_21) & $i(all_57_24) &
% 197.83/31.52 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_25) & $i(all_57_26) & $i(all_57_27) &
% 197.83/31.52 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28) & $i(all_57_29) & $i(all_57_30)) |
% 197.83/31.52 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_25 = e0 & ~ (all_57_0 = e3) & ~
% 197.83/31.52 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e2) & ~ (all_57_4 = e1) & ~
% 197.83/31.52 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_6 = e0) & ~ (all_57_31 = e3) & op(e3,
% 197.83/31.52 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1) = all_57_0 & op(e3, all_57_3) =
% 197.83/31.52 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_2 & op(e3, all_57_5) = all_57_4 & op(e3,
% 197.83/31.52 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7) = all_57_6 & op(e3, e3) = all_57_1 &
% 197.83/31.52 | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_3 & op(e3, e1) = all_57_5 &
% 197.83/31.52 | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_7 & op(e0, e3) = e0 &
% 197.83/31.52 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_0) & $i(all_57_1) & $i(all_57_2) &
% 197.83/31.52 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_3) & $i(all_57_4) & $i(all_57_5) &
% 197.83/31.52 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_6) & $i(all_57_7)) | (all_57_27 = e0 &
% 197.83/31.52 | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_8 = e3) & ~ (all_57_10 = e2) & ~
% 197.83/31.52 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e1) & ~ (all_57_14 = e0) & ~
% 197.83/31.52 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e2) & op(e2, all_57_9) = all_57_8 &
% 197.83/31.52 | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_11) = all_57_10 & op(e2,
% 197.83/31.52 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_13) = all_57_12 & op(e2, all_57_15) =
% 197.83/31.52 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_14 & op(e2, e3) = all_57_9 & op(e2, e2) =
% 197.83/31.52 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_11 & op(e2, e1) = all_57_13 & op(e2, e0)
% 197.83/31.52 | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_15 & op(e0, e2) = e0 & $i(all_57_8) &
% 197.83/31.52 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9) & $i(all_57_10) & $i(all_57_11) &
% 197.83/31.52 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & $i(all_57_13) & $i(all_57_14) &
% 197.83/31.52 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15)) | (all_57_29 = e0 & ~ (all_57_16
% 197.83/31.52 | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_18 = e2) & ~ (all_57_20 =
% 197.83/31.52 | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_22 = e0) & ~ (all_57_31 =
% 197.83/31.52 | | | | | | | | | | | | | | | | | | | | | | | | | e1) & op(e1, all_57_17) = all_57_16 & op(e1,
% 197.83/31.52 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_19) = all_57_18 & op(e1, all_57_21) =
% 197.83/31.52 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20 & op(e1, all_57_23) = all_57_22 &
% 197.83/31.52 | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_17 & op(e1, e2) = all_57_19
% 197.83/31.52 | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = all_57_21 & op(e1, e0) =
% 197.83/31.52 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23 & op(e0, e1) = e0 & $i(all_57_16) &
% 197.83/31.52 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_17) & $i(all_57_18) & $i(all_57_19) &
% 197.83/31.52 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_20) & $i(all_57_21) & $i(all_57_22) &
% 197.83/31.52 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23))
% 197.83/31.52 | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.52 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e3,
% 197.83/31.52 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_31, e0, e0, simplifying with (7532), (7623)
% 197.83/31.52 | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 197.83/31.52 | | | | | | | | | | | | | | | | | | | | | | | | | (7625) all_57_31 = e3
% 197.83/31.52 | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.52 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_1, e3,
% 197.83/31.52 | | | | | | | | | | | | | | | | | | | | | | | | | e3, e2, simplifying with (167), (7599) gives:
% 197.83/31.52 | | | | | | | | | | | | | | | | | | | | | | | | | (7626) all_52_1 = e3
% 197.83/31.52 | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.52 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_4, e3,
% 197.83/31.52 | | | | | | | | | | | | | | | | | | | | | | | | | e2, e3, simplifying with (170), (7603) gives:
% 197.83/31.52 | | | | | | | | | | | | | | | | | | | | | | | | | (7627) all_52_4 = e3
% 197.83/31.52 | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.52 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (343), (7627) imply:
% 197.83/31.52 | | | | | | | | | | | | | | | | | | | | | | | | | (7628) ~ (all_14_2 = e3)
% 197.83/31.52 | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.52 | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (7628) implies:
% 197.83/31.52 | | | | | | | | | | | | | | | | | | | | | | | | | (7629) ~ (all_14_2 = e3)
% 197.83/31.52 | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.52 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (204) gives:
% 197.83/31.52 | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.52 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.83/31.52 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.52 | | | | | | | | | | | | | | | | | | | | | | | | | | (7630) all_54_0 = e3
% 197.83/31.52 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.52 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (279), (7630) imply:
% 197.83/31.52 | | | | | | | | | | | | | | | | | | | | | | | | | | (7631) all_14_2 = e3
% 197.83/31.52 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.52 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7629), (7631) imply:
% 197.83/31.52 | | | | | | | | | | | | | | | | | | | | | | | | | | (7632) $false
% 197.83/31.52 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.52 | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (7632) is inconsistent.
% 197.83/31.52 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.52 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.83/31.52 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.52 | | | | | | | | | | | | | | | | | | | | | | | | | | (7633) ~ (all_54_0 = e3)
% 197.83/31.52 | | | | | | | | | | | | | | | | | | | | | | | | | | (7634) all_54_0 = e2 | all_54_0 = e1 | all_54_0 = e0
% 197.83/31.52 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.52 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7634) gives:
% 197.83/31.52 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.52 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.83/31.52 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | (7635) all_54_0 = e2
% 197.83/31.52 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (279), (7635) imply:
% 197.83/31.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | (7636) all_14_2 = e2
% 197.83/31.52 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7561), (7636) imply:
% 197.83/31.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | (7637) $false
% 197.83/31.52 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (7637) is inconsistent.
% 197.83/31.52 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.52 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.83/31.52 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | (7638) ~ (all_54_0 = e2)
% 197.83/31.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | (7639) all_54_0 = e1 | all_54_0 = e0
% 197.83/31.52 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7639) gives:
% 197.83/31.52 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.83/31.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7640) all_54_0 = e1
% 197.83/31.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (279), (7640) imply:
% 197.83/31.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7641) all_14_2 = e1
% 197.83/31.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7579), (7641) imply:
% 197.83/31.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7642) $false
% 197.83/31.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (7642) is inconsistent.
% 197.83/31.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.83/31.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7643) all_54_0 = e0
% 197.83/31.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (279), (7643) imply:
% 197.83/31.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7644) all_14_2 = e0
% 197.83/31.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (339), (7644) imply:
% 197.83/31.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7645) ~ (all_52_2 = e0)
% 197.83/31.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7629), (7644) imply:
% 197.83/31.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7646) ~ (e3 = e0)
% 197.83/31.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7561), (7644) imply:
% 197.83/31.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7647) ~ (e2 = e0)
% 197.83/31.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7579), (7644) imply:
% 197.83/31.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7648) ~ (e1 = e0)
% 197.83/31.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (51), (7644) imply:
% 197.83/31.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7649) op(e3, e3) = e0
% 197.83/31.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (219) gives:
% 197.83/31.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.83/31.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7650) (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2
% 197.83/31.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e2)
% 197.83/31.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7650) gives:
% 197.83/31.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.83/31.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7651) all_56_4 = e2 & op(e3, e1) = e2
% 197.83/31.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7651) implies:
% 197.83/31.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7652) all_56_4 = e2
% 197.83/31.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (232) gives:
% 197.83/31.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.83/31.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7653) (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_1 = e1
% 197.83/31.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e1)
% 197.83/31.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (8), (7602), (7649), (7653),
% 197.83/31.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 197.83/31.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1769.
% 197.83/31.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.83/31.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7654) (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_9 = e1
% 197.83/31.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e1)
% 197.83/31.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7654) gives:
% 197.83/31.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.83/31.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7655) all_56_4 = e1 & op(e3, e1) = e1
% 197.83/31.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7655) implies:
% 197.83/31.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7656) all_56_4 = e1
% 197.83/31.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (7652), (7656) are inconsistent by sub-proof
% 197.83/31.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1724.
% 197.83/31.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.83/31.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7657) all_56_9 = e1 & op(e3, e0) = e1
% 197.83/31.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7657) implies:
% 197.83/31.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7658) all_56_9 = e1
% 197.83/31.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (211) gives:
% 197.83/31.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.83/31.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7659) (all_56_9 = e2 & op(e3, e0) = e2) | (all_56_10 =
% 197.83/31.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2)
% 197.83/31.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7659) gives:
% 197.83/31.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.83/31.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7660) all_56_9 = e2 & op(e3, e0) = e2
% 197.83/31.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7660) implies:
% 197.83/31.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7661) all_56_9 = e2
% 197.83/31.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (7658), (7661) are inconsistent by sub-proof
% 197.83/31.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1789.
% 197.83/31.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.83/31.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7662) all_56_10 = e2 & op(e2, e0) = e2
% 197.83/31.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7662) implies:
% 197.83/31.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7663) op(e2, e0) = e2
% 197.83/31.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (7576), (7663), (function-axioms) are
% 197.83/31.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1941.
% 197.83/31.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.83/31.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.83/31.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7664) (all_56_11 = e2 & op(e1, e0) = e2) | (all_56_15 =
% 197.83/31.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = e2)
% 197.83/31.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7664) gives:
% 197.83/31.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.83/31.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7665) all_56_11 = e2 & op(e1, e0) = e2
% 197.83/31.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7665) implies:
% 197.83/31.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7666) all_56_11 = e2
% 197.83/31.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7667) op(e1, e0) = e2
% 197.83/31.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (213) gives:
% 197.83/31.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.83/31.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7668) (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_7 = e0
% 197.83/31.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e0)
% 197.83/31.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7668) gives:
% 197.83/31.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.83/31.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7669) all_56_6 = e0 & op(e1, e3) = e0
% 197.83/31.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (163), (7645), (7669), (function-axioms) are
% 197.83/31.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1473.
% 197.83/31.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.83/31.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7670) all_56_7 = e0 & op(e1, e2) = e0
% 197.83/31.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (158), (162), (170), (227), (7532), (7572),
% 197.83/31.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7573), (7574), (7623), (7624), (7667), (7670),
% 197.83/31.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 197.83/31.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #879.
% 197.83/31.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.83/31.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.83/31.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7671) (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_11 =
% 197.83/31.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e1, e0) = e0)
% 197.83/31.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7671) gives:
% 197.83/31.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.83/31.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7672) all_56_8 = e0 & op(e1, e1) = e0
% 197.83/31.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (7594), (7672) are inconsistent by sub-proof
% 197.83/31.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #878.
% 197.83/31.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.83/31.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7673) all_56_11 = e0 & op(e1, e0) = e0
% 197.83/31.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7673) implies:
% 197.83/31.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7674) all_56_11 = e0
% 197.83/31.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (7666), (7674) imply:
% 197.83/31.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7675) e2 = e0
% 197.83/31.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (7652), (7675) imply:
% 197.83/31.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7676) all_56_4 = e0
% 197.83/31.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (232), (234), (236),
% 197.83/31.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7603), (7649), (7676), (function-axioms) are
% 197.83/31.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #877.
% 197.83/31.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.83/31.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.83/31.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.83/31.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7677) all_56_15 = e2 & op(e0, e0) = e2
% 197.83/31.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7677) implies:
% 197.83/31.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7678) op(e0, e0) = e2
% 197.83/31.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (7532), (7678), (function-axioms) are
% 197.83/31.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1838.
% 197.83/31.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.83/31.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.83/31.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.83/31.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.83/31.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.83/31.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7679) all_56_5 = e2 & op(e2, e1) = e2
% 197.83/31.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7679) implies:
% 197.83/31.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7680) op(e2, e1) = e2
% 197.83/31.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (7575), (7680), (function-axioms) are
% 197.83/31.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1942.
% 197.83/31.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.83/31.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.83/31.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7681) (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 =
% 197.83/31.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e1) = e2)
% 197.83/31.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7681) gives:
% 197.83/31.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.83/31.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7682) all_56_8 = e2 & op(e1, e1) = e2
% 197.83/31.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7682) implies:
% 197.83/31.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7683) op(e1, e1) = e2
% 197.83/31.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (7595), (7683), (function-axioms) are
% 197.83/31.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1919.
% 197.83/31.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.83/31.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7684) all_56_14 = e2 & op(e0, e1) = e2
% 197.83/31.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7684) implies:
% 197.83/31.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7685) all_56_14 = e2
% 197.83/31.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (169), (170), (206),
% 197.83/31.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (217), (218), (222), (232), (234), (236), (7523),
% 197.83/31.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7524), (7532), (7572), (7577), (7585), (7594),
% 197.83/31.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7595), (7598), (7599), (7602), (7603), (7623),
% 197.83/31.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7624), (7649), (7685), (function-axioms) are
% 197.83/31.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #870.
% 197.83/31.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.83/31.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.83/31.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.83/31.52 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.52 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.83/31.52 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.52 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.83/31.52 | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.52 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.83/31.52 | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.52 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.83/31.52 | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.52 | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.83/31.52 | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.52 | | | | | | | | | | | | | | | | | | | | | End of split
% 197.83/31.52 | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.52 | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.83/31.52 | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.52 | | | | | | | | | | | | | | | | | | | | | (7686) all_56_3 = e3 & op(e2, e2) = e3
% 197.83/31.52 | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.52 | | | | | | | | | | | | | | | | | | | | | ALPHA: (7686) implies:
% 197.83/31.52 | | | | | | | | | | | | | | | | | | | | | (7687) op(e2, e2) = e3
% 197.83/31.52 | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.52 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (7577), (7687), (function-axioms) are
% 197.83/31.52 | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1963.
% 197.83/31.52 | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.52 | | | | | | | | | | | | | | | | | | | | End of split
% 197.83/31.52 | | | | | | | | | | | | | | | | | | | |
% 197.83/31.52 | | | | | | | | | | | | | | | | | | | Case 2:
% 197.83/31.52 | | | | | | | | | | | | | | | | | | | |
% 197.83/31.52 | | | | | | | | | | | | | | | | | | | | (7688) (all_56_7 = e3 & op(e1, e2) = e3) | (all_56_13 =
% 197.83/31.52 | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e2) = e3)
% 197.83/31.52 | | | | | | | | | | | | | | | | | | | |
% 197.83/31.52 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (162), (206), (207),
% 197.83/31.52 | | | | | | | | | | | | | | | | | | | | (208), (7532), (7584), (7688), (function-axioms)
% 197.83/31.52 | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #869.
% 197.83/31.52 | | | | | | | | | | | | | | | | | | | |
% 197.83/31.52 | | | | | | | | | | | | | | | | | | | End of split
% 197.83/31.52 | | | | | | | | | | | | | | | | | | |
% 197.83/31.52 | | | | | | | | | | | | | | | | | | Case 2:
% 197.83/31.52 | | | | | | | | | | | | | | | | | | |
% 197.83/31.52 | | | | | | | | | | | | | | | | | | | (7689) all_56_3 = e3 & op(e2, e2) = e3
% 197.83/31.52 | | | | | | | | | | | | | | | | | | |
% 197.83/31.52 | | | | | | | | | | | | | | | | | | | ALPHA: (7689) implies:
% 197.83/31.52 | | | | | | | | | | | | | | | | | | | (7690) op(e2, e2) = e3
% 197.83/31.52 | | | | | | | | | | | | | | | | | | |
% 197.83/31.52 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (7577), (7690), (function-axioms) are
% 197.83/31.52 | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1963.
% 197.83/31.52 | | | | | | | | | | | | | | | | | | |
% 197.83/31.52 | | | | | | | | | | | | | | | | | | End of split
% 197.83/31.52 | | | | | | | | | | | | | | | | | |
% 197.83/31.52 | | | | | | | | | | | | | | | | | Case 2:
% 197.83/31.52 | | | | | | | | | | | | | | | | | |
% 197.83/31.52 | | | | | | | | | | | | | | | | | | (7691) (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 =
% 197.83/31.52 | | | | | | | | | | | | | | | | | | e3 & op(e2, e0) = e3)
% 197.83/31.52 | | | | | | | | | | | | | | | | | |
% 197.83/31.52 | | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (165), (7530), (7586), (7691),
% 197.83/31.52 | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 197.83/31.52 | | | | | | | | | | | | | | | | | | #1658.
% 197.83/31.52 | | | | | | | | | | | | | | | | | |
% 197.83/31.52 | | | | | | | | | | | | | | | | | End of split
% 197.83/31.52 | | | | | | | | | | | | | | | | |
% 197.83/31.52 | | | | | | | | | | | | | | | | Case 2:
% 197.83/31.52 | | | | | | | | | | | | | | | | |
% 197.83/31.52 | | | | | | | | | | | | | | | | | (7692) all_56_11 = e3 & op(e1, e0) = e3
% 197.83/31.52 | | | | | | | | | | | | | | | | |
% 197.83/31.52 | | | | | | | | | | | | | | | | | REF_CLOSE: (160), (7531), (7692), (function-axioms) are
% 197.83/31.52 | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1762.
% 197.83/31.52 | | | | | | | | | | | | | | | | |
% 197.83/31.52 | | | | | | | | | | | | | | | | End of split
% 197.83/31.52 | | | | | | | | | | | | | | | |
% 197.83/31.52 | | | | | | | | | | | | | | | End of split
% 197.83/31.52 | | | | | | | | | | | | | | |
% 197.83/31.52 | | | | | | | | | | | | | | End of split
% 197.83/31.52 | | | | | | | | | | | | | |
% 197.83/31.52 | | | | | | | | | | | | | Case 2:
% 197.83/31.52 | | | | | | | | | | | | | |
% 197.83/31.52 | | | | | | | | | | | | | | (7693) all_28_2 = e1
% 197.83/31.52 | | | | | | | | | | | | | | (7694) op(e1, e3) = all_28_1 & $i(all_28_1) & ( ~
% 197.83/31.52 | | | | | | | | | | | | | | (all_28_1 = e2) | ( ~ (all_28_0 = e0) & op(e2,
% 197.83/31.52 | | | | | | | | | | | | | | e1) = all_28_0 & $i(all_28_0)))
% 197.83/31.52 | | | | | | | | | | | | | |
% 197.83/31.52 | | | | | | | | | | | | | | ALPHA: (7694) implies:
% 197.83/31.52 | | | | | | | | | | | | | | (7695) op(e1, e3) = all_28_1
% 197.83/31.52 | | | | | | | | | | | | | |
% 197.83/31.52 | | | | | | | | | | | | | | COMBINE_EQS: (315), (7693) imply:
% 197.83/31.52 | | | | | | | | | | | | | | (7696) all_14_2 = e1
% 197.83/31.52 | | | | | | | | | | | | | |
% 197.83/31.52 | | | | | | | | | | | | | | SIMP: (7696) implies:
% 197.83/31.52 | | | | | | | | | | | | | | (7697) all_14_2 = e1
% 197.83/31.52 | | | | | | | | | | | | | |
% 197.83/31.52 | | | | | | | | | | | | | | COMBINE_EQS: (305), (7697) imply:
% 197.83/31.52 | | | | | | | | | | | | | | (7698) all_36_2 = e1
% 197.83/31.52 | | | | | | | | | | | | | |
% 197.83/31.52 | | | | | | | | | | | | | | REDUCE: (339), (7697) imply:
% 197.83/31.52 | | | | | | | | | | | | | | (7699) ~ (all_52_2 = e1)
% 197.83/31.52 | | | | | | | | | | | | | |
% 197.83/31.52 | | | | | | | | | | | | | | REDUCE: (343), (7697) imply:
% 197.83/31.52 | | | | | | | | | | | | | | (7700) ~ (all_52_4 = e1)
% 197.83/31.52 | | | | | | | | | | | | | |
% 197.83/31.52 | | | | | | | | | | | | | | REDUCE: (345), (7697) imply:
% 197.83/31.52 | | | | | | | | | | | | | | (7701) ~ (all_52_8 = e1)
% 197.83/31.52 | | | | | | | | | | | | | |
% 197.83/31.52 | | | | | | | | | | | | | | REDUCE: (7559), (7697) imply:
% 197.83/31.52 | | | | | | | | | | | | | | (7702) ~ (all_10_1 = e1)
% 197.83/31.52 | | | | | | | | | | | | | |
% 197.83/31.52 | | | | | | | | | | | | | | SIMP: (7702) implies:
% 197.83/31.52 | | | | | | | | | | | | | | (7703) ~ (all_10_1 = e1)
% 197.83/31.52 | | | | | | | | | | | | | |
% 197.83/31.52 | | | | | | | | | | | | | | REDUCE: (7561), (7697) imply:
% 197.83/31.52 | | | | | | | | | | | | | | (7704) ~ (e2 = e1)
% 197.83/31.52 | | | | | | | | | | | | | |
% 197.83/31.52 | | | | | | | | | | | | | | REDUCE: (51), (7697) imply:
% 197.83/31.52 | | | | | | | | | | | | | | (7705) op(e3, e3) = e1
% 197.83/31.52 | | | | | | | | | | | | | |
% 197.83/31.52 | | | | | | | | | | | | | | BETA: splitting (85) gives:
% 197.83/31.52 | | | | | | | | | | | | | |
% 197.83/31.52 | | | | | | | | | | | | | | Case 1:
% 197.83/31.52 | | | | | | | | | | | | | | |
% 197.83/31.52 | | | | | | | | | | | | | | | (7706) ~ (all_36_2 = e1)
% 197.83/31.52 | | | | | | | | | | | | | | |
% 197.83/31.52 | | | | | | | | | | | | | | | REDUCE: (7698), (7706) imply:
% 197.83/31.52 | | | | | | | | | | | | | | | (7707) $false
% 197.83/31.52 | | | | | | | | | | | | | | |
% 197.83/31.52 | | | | | | | | | | | | | | | CLOSE: (7707) is inconsistent.
% 197.83/31.52 | | | | | | | | | | | | | | |
% 197.83/31.52 | | | | | | | | | | | | | | Case 2:
% 197.83/31.52 | | | | | | | | | | | | | | |
% 197.83/31.52 | | | | | | | | | | | | | | | (7708) op(e1, e3) = all_36_1 & $i(all_36_1) & ( ~
% 197.83/31.52 | | | | | | | | | | | | | | | (all_36_1 = e0) | ( ~ (all_36_0 = e2) & op(e0,
% 197.83/31.52 | | | | | | | | | | | | | | | e1) = all_36_0 & $i(all_36_0)))
% 197.83/31.52 | | | | | | | | | | | | | | |
% 197.83/31.52 | | | | | | | | | | | | | | | ALPHA: (7708) implies:
% 197.83/31.52 | | | | | | | | | | | | | | | (7709) op(e1, e3) = all_36_1
% 197.83/31.52 | | | | | | | | | | | | | | | (7710) ~ (all_36_1 = e0) | ( ~ (all_36_0 = e2) & op(e0,
% 197.83/31.52 | | | | | | | | | | | | | | | e1) = all_36_0 & $i(all_36_0))
% 197.83/31.52 | | | | | | | | | | | | | | |
% 197.83/31.52 | | | | | | | | | | | | | | | BETA: splitting (238) gives:
% 197.83/31.52 | | | | | | | | | | | | | | |
% 197.83/31.52 | | | | | | | | | | | | | | | Case 1:
% 197.83/31.52 | | | | | | | | | | | | | | | |
% 197.83/31.52 | | | | | | | | | | | | | | | | (7711) (all_57_3 = e3 & ~ (all_57_1 = e2) & ~ (all_57_8
% 197.83/31.52 | | | | | | | | | | | | | | | | = e3) & ~ (all_57_10 = e2) & ~ (all_57_12 =
% 197.83/31.52 | | | | | | | | | | | | | | | | e1) & ~ (all_57_14 = e0) & op(e3, e3) =
% 197.83/31.52 | | | | | | | | | | | | | | | | all_57_1 & op(e3, e2) = e3 & op(e2, all_57_9) =
% 197.83/31.52 | | | | | | | | | | | | | | | | all_57_8 & op(e2, all_57_11) = all_57_10 &
% 197.83/31.52 | | | | | | | | | | | | | | | | op(e2, all_57_13) = all_57_12 & op(e2,
% 197.83/31.52 | | | | | | | | | | | | | | | | all_57_15) = all_57_14 & op(e2, e3) = all_57_9
% 197.83/31.52 | | | | | | | | | | | | | | | | & op(e2, e2) = all_57_11 & op(e2, e1) =
% 197.83/31.52 | | | | | | | | | | | | | | | | all_57_13 & op(e2, e0) = all_57_15 &
% 197.83/31.52 | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_8) & $i(all_57_9) &
% 197.83/31.52 | | | | | | | | | | | | | | | | $i(all_57_10) & $i(all_57_11) & $i(all_57_12) &
% 197.83/31.52 | | | | | | | | | | | | | | | | $i(all_57_13) & $i(all_57_14) & $i(all_57_15)) |
% 197.83/31.52 | | | | | | | | | | | | | | | | (all_57_5 = e3 & ~ (all_57_1 = e1) & ~
% 197.83/31.52 | | | | | | | | | | | | | | | | (all_57_16 = e3) & ~ (all_57_18 = e2) & ~
% 197.83/31.52 | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_22 = e0) & op(e3,
% 197.83/31.52 | | | | | | | | | | | | | | | | e3) = all_57_1 & op(e3, e1) = e3 & op(e1,
% 197.83/31.52 | | | | | | | | | | | | | | | | all_57_17) = all_57_16 & op(e1, all_57_19) =
% 197.83/31.52 | | | | | | | | | | | | | | | | all_57_18 & op(e1, all_57_21) = all_57_20 &
% 197.83/31.52 | | | | | | | | | | | | | | | | op(e1, all_57_23) = all_57_22 & op(e1, e3) =
% 197.83/31.52 | | | | | | | | | | | | | | | | all_57_17 & op(e1, e2) = all_57_19 & op(e1, e1)
% 197.83/31.52 | | | | | | | | | | | | | | | | = all_57_21 & op(e1, e0) = all_57_23 &
% 197.83/31.52 | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_16) & $i(all_57_17) &
% 197.83/31.52 | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_19) & $i(all_57_20) &
% 197.83/31.52 | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_22) & $i(all_57_23)) |
% 197.83/31.52 | | | | | | | | | | | | | | | | (all_57_7 = e3 & ~ (all_57_1 = e0) & ~
% 197.83/31.52 | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 197.83/31.52 | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) & op(e3,
% 197.83/31.52 | | | | | | | | | | | | | | | | e3) = all_57_1 & op(e3, e0) = e3 & op(e0,
% 197.83/31.52 | | | | | | | | | | | | | | | | all_57_25) = all_57_24 & op(e0, all_57_27) =
% 197.83/31.52 | | | | | | | | | | | | | | | | all_57_26 & op(e0, all_57_29) = all_57_28 &
% 197.83/31.52 | | | | | | | | | | | | | | | | op(e0, all_57_31) = all_57_30 & op(e0, e3) =
% 197.83/31.52 | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_27 & op(e0, e1)
% 197.83/31.52 | | | | | | | | | | | | | | | | = all_57_29 & op(e0, e0) = all_57_31 &
% 197.83/31.52 | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_24) & $i(all_57_25) &
% 197.83/31.52 | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_27) & $i(all_57_28) &
% 197.83/31.52 | | | | | | | | | | | | | | | | $i(all_57_29) & $i(all_57_30) & $i(all_57_31)) |
% 197.83/31.52 | | | | | | | | | | | | | | | | (all_57_9 = e2 & ~ (all_57_0 = e3) & ~ (all_57_2
% 197.83/31.52 | | | | | | | | | | | | | | | | = e2) & ~ (all_57_4 = e1) & ~ (all_57_6 =
% 197.83/31.52 | | | | | | | | | | | | | | | | e0) & ~ (all_57_11 = e3) & op(e3, all_57_1) =
% 197.83/31.52 | | | | | | | | | | | | | | | | all_57_0 & op(e3, all_57_3) = all_57_2 & op(e3,
% 197.83/31.52 | | | | | | | | | | | | | | | | all_57_5) = all_57_4 & op(e3, all_57_7) =
% 197.83/31.52 | | | | | | | | | | | | | | | | all_57_6 & op(e3, e3) = all_57_1 & op(e3, e2) =
% 197.83/31.52 | | | | | | | | | | | | | | | | all_57_3 & op(e3, e1) = all_57_5 & op(e3, e0) =
% 197.83/31.52 | | | | | | | | | | | | | | | | all_57_7 & op(e2, e3) = e2 & op(e2, e2) =
% 197.83/31.52 | | | | | | | | | | | | | | | | all_57_11 & $i(all_57_0) & $i(all_57_1) &
% 197.83/31.53 | | | | | | | | | | | | | | | | $i(all_57_2) & $i(all_57_3) & $i(all_57_4) &
% 197.83/31.53 | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 197.83/31.53 | | | | | | | | | | | | | | | | $i(all_57_11))
% 197.83/31.53 | | | | | | | | | | | | | | | |
% 197.83/31.53 | | | | | | | | | | | | | | | | BETA: splitting (7711) gives:
% 197.83/31.53 | | | | | | | | | | | | | | | |
% 197.83/31.53 | | | | | | | | | | | | | | | | Case 1:
% 197.83/31.53 | | | | | | | | | | | | | | | | |
% 197.83/31.53 | | | | | | | | | | | | | | | | | (7712) (all_57_3 = e3 & ~ (all_57_1 = e2) & ~ (all_57_8
% 197.83/31.53 | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_10 = e2) & ~ (all_57_12 =
% 197.83/31.53 | | | | | | | | | | | | | | | | | e1) & ~ (all_57_14 = e0) & op(e3, e3) =
% 197.83/31.53 | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e2) = e3 & op(e2, all_57_9) =
% 197.83/31.53 | | | | | | | | | | | | | | | | | all_57_8 & op(e2, all_57_11) = all_57_10 &
% 197.83/31.53 | | | | | | | | | | | | | | | | | op(e2, all_57_13) = all_57_12 & op(e2,
% 197.83/31.53 | | | | | | | | | | | | | | | | | all_57_15) = all_57_14 & op(e2, e3) = all_57_9
% 197.83/31.53 | | | | | | | | | | | | | | | | | & op(e2, e2) = all_57_11 & op(e2, e1) =
% 197.83/31.53 | | | | | | | | | | | | | | | | | all_57_13 & op(e2, e0) = all_57_15 &
% 197.83/31.53 | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_8) & $i(all_57_9) &
% 197.83/31.53 | | | | | | | | | | | | | | | | | $i(all_57_10) & $i(all_57_11) & $i(all_57_12) &
% 197.83/31.53 | | | | | | | | | | | | | | | | | $i(all_57_13) & $i(all_57_14) & $i(all_57_15)) |
% 197.83/31.53 | | | | | | | | | | | | | | | | | (all_57_5 = e3 & ~ (all_57_1 = e1) & ~
% 197.83/31.53 | | | | | | | | | | | | | | | | | (all_57_16 = e3) & ~ (all_57_18 = e2) & ~
% 197.83/31.53 | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_22 = e0) & op(e3,
% 197.83/31.53 | | | | | | | | | | | | | | | | | e3) = all_57_1 & op(e3, e1) = e3 & op(e1,
% 197.83/31.53 | | | | | | | | | | | | | | | | | all_57_17) = all_57_16 & op(e1, all_57_19) =
% 197.83/31.53 | | | | | | | | | | | | | | | | | all_57_18 & op(e1, all_57_21) = all_57_20 &
% 197.83/31.53 | | | | | | | | | | | | | | | | | op(e1, all_57_23) = all_57_22 & op(e1, e3) =
% 197.83/31.53 | | | | | | | | | | | | | | | | | all_57_17 & op(e1, e2) = all_57_19 & op(e1, e1)
% 197.83/31.53 | | | | | | | | | | | | | | | | | = all_57_21 & op(e1, e0) = all_57_23 &
% 197.83/31.53 | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_16) & $i(all_57_17) &
% 197.83/31.53 | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_19) & $i(all_57_20) &
% 197.83/31.53 | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_22) & $i(all_57_23))
% 197.83/31.53 | | | | | | | | | | | | | | | | |
% 197.83/31.53 | | | | | | | | | | | | | | | | | REF_CLOSE: (158), (162), (170), (227), (7572), (7573),
% 197.83/31.53 | | | | | | | | | | | | | | | | | (7574), (7705), (7712), (function-axioms) are
% 197.83/31.53 | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1753.
% 197.83/31.53 | | | | | | | | | | | | | | | | |
% 197.83/31.53 | | | | | | | | | | | | | | | | Case 2:
% 197.83/31.53 | | | | | | | | | | | | | | | | |
% 197.83/31.53 | | | | | | | | | | | | | | | | | (7713) (all_57_7 = e3 & ~ (all_57_1 = e0) & ~
% 197.83/31.53 | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 197.83/31.53 | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) & op(e3,
% 197.83/31.53 | | | | | | | | | | | | | | | | | e3) = all_57_1 & op(e3, e0) = e3 & op(e0,
% 197.83/31.53 | | | | | | | | | | | | | | | | | all_57_25) = all_57_24 & op(e0, all_57_27) =
% 197.83/31.53 | | | | | | | | | | | | | | | | | all_57_26 & op(e0, all_57_29) = all_57_28 &
% 197.83/31.53 | | | | | | | | | | | | | | | | | op(e0, all_57_31) = all_57_30 & op(e0, e3) =
% 197.83/31.53 | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_27 & op(e0, e1)
% 197.83/31.53 | | | | | | | | | | | | | | | | | = all_57_29 & op(e0, e0) = all_57_31 &
% 197.83/31.53 | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_24) & $i(all_57_25) &
% 197.83/31.53 | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_27) & $i(all_57_28) &
% 197.83/31.53 | | | | | | | | | | | | | | | | | $i(all_57_29) & $i(all_57_30) & $i(all_57_31)) |
% 197.83/31.53 | | | | | | | | | | | | | | | | | (all_57_9 = e2 & ~ (all_57_0 = e3) & ~ (all_57_2
% 197.83/31.53 | | | | | | | | | | | | | | | | | = e2) & ~ (all_57_4 = e1) & ~ (all_57_6 =
% 197.83/31.53 | | | | | | | | | | | | | | | | | e0) & ~ (all_57_11 = e3) & op(e3, all_57_1) =
% 197.83/31.53 | | | | | | | | | | | | | | | | | all_57_0 & op(e3, all_57_3) = all_57_2 & op(e3,
% 197.83/31.53 | | | | | | | | | | | | | | | | | all_57_5) = all_57_4 & op(e3, all_57_7) =
% 197.83/31.53 | | | | | | | | | | | | | | | | | all_57_6 & op(e3, e3) = all_57_1 & op(e3, e2) =
% 197.83/31.53 | | | | | | | | | | | | | | | | | all_57_3 & op(e3, e1) = all_57_5 & op(e3, e0) =
% 197.83/31.53 | | | | | | | | | | | | | | | | | all_57_7 & op(e2, e3) = e2 & op(e2, e2) =
% 197.83/31.53 | | | | | | | | | | | | | | | | | all_57_11 & $i(all_57_0) & $i(all_57_1) &
% 197.83/31.53 | | | | | | | | | | | | | | | | | $i(all_57_2) & $i(all_57_3) & $i(all_57_4) &
% 197.83/31.53 | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 197.83/31.53 | | | | | | | | | | | | | | | | | $i(all_57_11))
% 197.83/31.53 | | | | | | | | | | | | | | | | |
% 197.83/31.53 | | | | | | | | | | | | | | | | | REF_CLOSE: (167), (168), (7529), (7571), (7713),
% 197.83/31.53 | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 197.83/31.53 | | | | | | | | | | | | | | | | | #1927.
% 197.83/31.53 | | | | | | | | | | | | | | | | |
% 197.83/31.53 | | | | | | | | | | | | | | | | End of split
% 197.83/31.53 | | | | | | | | | | | | | | | |
% 197.83/31.53 | | | | | | | | | | | | | | | Case 2:
% 197.83/31.53 | | | | | | | | | | | | | | | |
% 197.83/31.53 | | | | | | | | | | | | | | | | (7714) (all_57_13 = e2 & ~ (all_57_11 = e1) & ~
% 197.83/31.53 | | | | | | | | | | | | | | | | (all_57_16 = e3) & ~ (all_57_18 = e2) & ~
% 197.83/31.53 | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_22 = e0) & op(e2,
% 197.83/31.53 | | | | | | | | | | | | | | | | e2) = all_57_11 & op(e2, e1) = e2 & op(e1,
% 197.83/31.53 | | | | | | | | | | | | | | | | all_57_17) = all_57_16 & op(e1, all_57_19) =
% 197.83/31.53 | | | | | | | | | | | | | | | | all_57_18 & op(e1, all_57_21) = all_57_20 &
% 197.83/31.53 | | | | | | | | | | | | | | | | op(e1, all_57_23) = all_57_22 & op(e1, e3) =
% 197.83/31.53 | | | | | | | | | | | | | | | | all_57_17 & op(e1, e2) = all_57_19 & op(e1, e1)
% 197.83/31.53 | | | | | | | | | | | | | | | | = all_57_21 & op(e1, e0) = all_57_23 &
% 197.83/31.53 | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_16) & $i(all_57_17) &
% 197.83/31.53 | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_19) & $i(all_57_20) &
% 197.83/31.53 | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_22) & $i(all_57_23)) |
% 197.83/31.53 | | | | | | | | | | | | | | | | (all_57_15 = e2 & ~ (all_57_11 = e0) & ~
% 197.83/31.53 | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 197.83/31.53 | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) & op(e2,
% 197.83/31.53 | | | | | | | | | | | | | | | | e2) = all_57_11 & op(e2, e0) = e2 & op(e0,
% 197.83/31.53 | | | | | | | | | | | | | | | | all_57_25) = all_57_24 & op(e0, all_57_27) =
% 197.83/31.53 | | | | | | | | | | | | | | | | all_57_26 & op(e0, all_57_29) = all_57_28 &
% 197.83/31.53 | | | | | | | | | | | | | | | | op(e0, all_57_31) = all_57_30 & op(e0, e3) =
% 197.83/31.53 | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_27 & op(e0, e1)
% 197.83/31.53 | | | | | | | | | | | | | | | | = all_57_29 & op(e0, e0) = all_57_31 &
% 197.83/31.53 | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_24) & $i(all_57_25) &
% 197.83/31.53 | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_27) & $i(all_57_28) &
% 197.83/31.53 | | | | | | | | | | | | | | | | $i(all_57_29) & $i(all_57_30) & $i(all_57_31)) |
% 197.83/31.53 | | | | | | | | | | | | | | | | (all_57_17 = e1 & ~ (all_57_0 = e3) & ~
% 197.83/31.53 | | | | | | | | | | | | | | | | (all_57_2 = e2) & ~ (all_57_4 = e1) & ~
% 197.83/31.53 | | | | | | | | | | | | | | | | (all_57_6 = e0) & ~ (all_57_21 = e3) & op(e3,
% 197.83/31.53 | | | | | | | | | | | | | | | | all_57_1) = all_57_0 & op(e3, all_57_3) =
% 197.83/31.53 | | | | | | | | | | | | | | | | all_57_2 & op(e3, all_57_5) = all_57_4 & op(e3,
% 197.83/31.53 | | | | | | | | | | | | | | | | all_57_7) = all_57_6 & op(e3, e3) = all_57_1 &
% 197.83/31.53 | | | | | | | | | | | | | | | | op(e3, e2) = all_57_3 & op(e3, e1) = all_57_5 &
% 197.83/31.53 | | | | | | | | | | | | | | | | op(e3, e0) = all_57_7 & op(e1, e3) = e1 & op(e1,
% 197.83/31.53 | | | | | | | | | | | | | | | | e1) = all_57_21 & $i(all_57_0) & $i(all_57_1)
% 197.83/31.53 | | | | | | | | | | | | | | | | & $i(all_57_2) & $i(all_57_3) & $i(all_57_4) &
% 197.83/31.53 | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 197.83/31.53 | | | | | | | | | | | | | | | | $i(all_57_21)) | (all_57_19 = e1 & ~ (all_57_8
% 197.83/31.53 | | | | | | | | | | | | | | | | = e3) & ~ (all_57_10 = e2) & ~ (all_57_12 =
% 197.83/31.53 | | | | | | | | | | | | | | | | e1) & ~ (all_57_14 = e0) & ~ (all_57_21 =
% 197.83/31.53 | | | | | | | | | | | | | | | | e2) & op(e2, all_57_9) = all_57_8 & op(e2,
% 197.83/31.53 | | | | | | | | | | | | | | | | all_57_11) = all_57_10 & op(e2, all_57_13) =
% 197.83/31.53 | | | | | | | | | | | | | | | | all_57_12 & op(e2, all_57_15) = all_57_14 &
% 197.83/31.53 | | | | | | | | | | | | | | | | op(e2, e3) = all_57_9 & op(e2, e2) = all_57_11 &
% 197.83/31.53 | | | | | | | | | | | | | | | | op(e2, e1) = all_57_13 & op(e2, e0) = all_57_15
% 197.83/31.53 | | | | | | | | | | | | | | | | & op(e1, e2) = e1 & op(e1, e1) = all_57_21 &
% 197.83/31.53 | | | | | | | | | | | | | | | | $i(all_57_8) & $i(all_57_9) & $i(all_57_10) &
% 197.83/31.53 | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_12) & $i(all_57_13) &
% 197.83/31.53 | | | | | | | | | | | | | | | | $i(all_57_14) & $i(all_57_15) & $i(all_57_21)) |
% 197.83/31.53 | | | | | | | | | | | | | | | | (op(e0, e0) = all_57_31 & $i(all_57_31) &
% 197.83/31.53 | | | | | | | | | | | | | | | | ((all_57_23 = e1 & ~ (all_57_21 = e0) & ~
% 197.83/31.53 | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 197.83/31.53 | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) &
% 197.83/31.53 | | | | | | | | | | | | | | | | op(e1, e1) = all_57_21 & op(e1, e0) = e1 &
% 197.83/31.53 | | | | | | | | | | | | | | | | op(e0, all_57_25) = all_57_24 & op(e0,
% 197.83/31.53 | | | | | | | | | | | | | | | | all_57_27) = all_57_26 & op(e0, all_57_29)
% 197.83/31.53 | | | | | | | | | | | | | | | | = all_57_28 & op(e0, all_57_31) = all_57_30
% 197.83/31.53 | | | | | | | | | | | | | | | | & op(e0, e3) = all_57_25 & op(e0, e2) =
% 197.83/31.53 | | | | | | | | | | | | | | | | all_57_27 & op(e0, e1) = all_57_29 &
% 197.83/31.53 | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_24) &
% 197.83/31.53 | | | | | | | | | | | | | | | | $i(all_57_25) & $i(all_57_26) &
% 197.83/31.53 | | | | | | | | | | | | | | | | $i(all_57_27) & $i(all_57_28) &
% 197.83/31.53 | | | | | | | | | | | | | | | | $i(all_57_29) & $i(all_57_30)) | (all_57_25
% 197.83/31.53 | | | | | | | | | | | | | | | | = e0 & ~ (all_57_0 = e3) & ~ (all_57_2 =
% 197.83/31.53 | | | | | | | | | | | | | | | | e2) & ~ (all_57_4 = e1) & ~ (all_57_6 =
% 197.83/31.53 | | | | | | | | | | | | | | | | e0) & ~ (all_57_31 = e3) & op(e3,
% 197.83/31.53 | | | | | | | | | | | | | | | | all_57_1) = all_57_0 & op(e3, all_57_3) =
% 197.83/31.53 | | | | | | | | | | | | | | | | all_57_2 & op(e3, all_57_5) = all_57_4 &
% 197.83/31.53 | | | | | | | | | | | | | | | | op(e3, all_57_7) = all_57_6 & op(e3, e3) =
% 197.83/31.53 | | | | | | | | | | | | | | | | all_57_1 & op(e3, e2) = all_57_3 & op(e3,
% 197.83/31.53 | | | | | | | | | | | | | | | | e1) = all_57_5 & op(e3, e0) = all_57_7 &
% 197.83/31.53 | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_0) &
% 197.83/31.53 | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_2) & $i(all_57_3) &
% 197.83/31.53 | | | | | | | | | | | | | | | | $i(all_57_4) & $i(all_57_5) & $i(all_57_6) &
% 197.83/31.53 | | | | | | | | | | | | | | | | $i(all_57_7)) | (all_57_27 = e0 & ~
% 197.83/31.53 | | | | | | | | | | | | | | | | (all_57_8 = e3) & ~ (all_57_10 = e2) & ~
% 197.83/31.53 | | | | | | | | | | | | | | | | (all_57_12 = e1) & ~ (all_57_14 = e0) & ~
% 197.83/31.53 | | | | | | | | | | | | | | | | (all_57_31 = e2) & op(e2, all_57_9) =
% 197.83/31.53 | | | | | | | | | | | | | | | | all_57_8 & op(e2, all_57_11) = all_57_10 &
% 197.83/31.53 | | | | | | | | | | | | | | | | op(e2, all_57_13) = all_57_12 & op(e2,
% 197.83/31.53 | | | | | | | | | | | | | | | | all_57_15) = all_57_14 & op(e2, e3) =
% 197.83/31.53 | | | | | | | | | | | | | | | | all_57_9 & op(e2, e2) = all_57_11 & op(e2,
% 197.83/31.53 | | | | | | | | | | | | | | | | e1) = all_57_13 & op(e2, e0) = all_57_15 &
% 197.83/31.53 | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_8) &
% 197.83/31.53 | | | | | | | | | | | | | | | | $i(all_57_9) & $i(all_57_10) & $i(all_57_11)
% 197.83/31.53 | | | | | | | | | | | | | | | | & $i(all_57_12) & $i(all_57_13) &
% 197.83/31.53 | | | | | | | | | | | | | | | | $i(all_57_14) & $i(all_57_15)) | (all_57_29
% 197.83/31.53 | | | | | | | | | | | | | | | | = e0 & ~ (all_57_16 = e3) & ~ (all_57_18 =
% 197.83/31.53 | | | | | | | | | | | | | | | | e2) & ~ (all_57_20 = e1) & ~ (all_57_22
% 197.83/31.53 | | | | | | | | | | | | | | | | = e0) & ~ (all_57_31 = e1) & op(e1,
% 197.83/31.53 | | | | | | | | | | | | | | | | all_57_17) = all_57_16 & op(e1, all_57_19)
% 197.83/31.53 | | | | | | | | | | | | | | | | = all_57_18 & op(e1, all_57_21) = all_57_20
% 197.83/31.53 | | | | | | | | | | | | | | | | & op(e1, all_57_23) = all_57_22 & op(e1, e3)
% 197.83/31.53 | | | | | | | | | | | | | | | | = all_57_17 & op(e1, e2) = all_57_19 &
% 197.83/31.53 | | | | | | | | | | | | | | | | op(e1, e1) = all_57_21 & op(e1, e0) =
% 197.83/31.53 | | | | | | | | | | | | | | | | all_57_23 & op(e0, e1) = e0 & $i(all_57_16)
% 197.83/31.53 | | | | | | | | | | | | | | | | & $i(all_57_17) & $i(all_57_18) &
% 197.83/31.53 | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_20) &
% 197.83/31.53 | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_22) &
% 197.83/31.53 | | | | | | | | | | | | | | | | $i(all_57_23))))
% 197.83/31.53 | | | | | | | | | | | | | | | |
% 197.83/31.53 | | | | | | | | | | | | | | | | BETA: splitting (7714) gives:
% 197.83/31.53 | | | | | | | | | | | | | | | |
% 197.83/31.53 | | | | | | | | | | | | | | | | Case 1:
% 197.83/31.53 | | | | | | | | | | | | | | | | |
% 197.83/31.53 | | | | | | | | | | | | | | | | | (7715) (all_57_13 = e2 & ~ (all_57_11 = e1) & ~
% 197.83/31.53 | | | | | | | | | | | | | | | | | (all_57_16 = e3) & ~ (all_57_18 = e2) & ~
% 197.83/31.53 | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_22 = e0) & op(e2,
% 197.83/31.53 | | | | | | | | | | | | | | | | | e2) = all_57_11 & op(e2, e1) = e2 & op(e1,
% 197.83/31.53 | | | | | | | | | | | | | | | | | all_57_17) = all_57_16 & op(e1, all_57_19) =
% 197.83/31.53 | | | | | | | | | | | | | | | | | all_57_18 & op(e1, all_57_21) = all_57_20 &
% 197.83/31.53 | | | | | | | | | | | | | | | | | op(e1, all_57_23) = all_57_22 & op(e1, e3) =
% 197.83/31.53 | | | | | | | | | | | | | | | | | all_57_17 & op(e1, e2) = all_57_19 & op(e1, e1)
% 197.83/31.53 | | | | | | | | | | | | | | | | | = all_57_21 & op(e1, e0) = all_57_23 &
% 197.83/31.53 | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_16) & $i(all_57_17) &
% 197.83/31.53 | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_19) & $i(all_57_20) &
% 197.83/31.53 | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_22) & $i(all_57_23)) |
% 197.83/31.53 | | | | | | | | | | | | | | | | | (all_57_15 = e2 & ~ (all_57_11 = e0) & ~
% 197.83/31.53 | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 197.83/31.53 | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) & op(e2,
% 197.83/31.53 | | | | | | | | | | | | | | | | | e2) = all_57_11 & op(e2, e0) = e2 & op(e0,
% 197.83/31.53 | | | | | | | | | | | | | | | | | all_57_25) = all_57_24 & op(e0, all_57_27) =
% 197.83/31.53 | | | | | | | | | | | | | | | | | all_57_26 & op(e0, all_57_29) = all_57_28 &
% 197.83/31.53 | | | | | | | | | | | | | | | | | op(e0, all_57_31) = all_57_30 & op(e0, e3) =
% 197.83/31.53 | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_27 & op(e0, e1)
% 197.83/31.53 | | | | | | | | | | | | | | | | | = all_57_29 & op(e0, e0) = all_57_31 &
% 197.83/31.53 | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_24) & $i(all_57_25) &
% 197.83/31.53 | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_27) & $i(all_57_28) &
% 197.83/31.53 | | | | | | | | | | | | | | | | | $i(all_57_29) & $i(all_57_30) & $i(all_57_31))
% 197.83/31.53 | | | | | | | | | | | | | | | | |
% 197.83/31.53 | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (165), (7575), (7576), (7715),
% 197.83/31.53 | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 197.83/31.53 | | | | | | | | | | | | | | | | | #1940.
% 197.83/31.53 | | | | | | | | | | | | | | | | |
% 197.83/31.53 | | | | | | | | | | | | | | | | Case 2:
% 197.83/31.53 | | | | | | | | | | | | | | | | |
% 197.83/31.53 | | | | | | | | | | | | | | | | | (7716) (all_57_17 = e1 & ~ (all_57_0 = e3) & ~
% 197.83/31.53 | | | | | | | | | | | | | | | | | (all_57_2 = e2) & ~ (all_57_4 = e1) & ~
% 197.83/31.53 | | | | | | | | | | | | | | | | | (all_57_6 = e0) & ~ (all_57_21 = e3) & op(e3,
% 197.83/31.53 | | | | | | | | | | | | | | | | | all_57_1) = all_57_0 & op(e3, all_57_3) =
% 197.83/31.53 | | | | | | | | | | | | | | | | | all_57_2 & op(e3, all_57_5) = all_57_4 & op(e3,
% 197.83/31.53 | | | | | | | | | | | | | | | | | all_57_7) = all_57_6 & op(e3, e3) = all_57_1 &
% 197.83/31.53 | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_3 & op(e3, e1) = all_57_5 &
% 197.83/31.53 | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_7 & op(e1, e3) = e1 & op(e1,
% 197.83/31.53 | | | | | | | | | | | | | | | | | e1) = all_57_21 & $i(all_57_0) & $i(all_57_1)
% 197.83/31.53 | | | | | | | | | | | | | | | | | & $i(all_57_2) & $i(all_57_3) & $i(all_57_4) &
% 197.83/31.53 | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 197.83/31.53 | | | | | | | | | | | | | | | | | $i(all_57_21)) | (all_57_19 = e1 & ~ (all_57_8
% 197.83/31.53 | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_10 = e2) & ~ (all_57_12 =
% 197.83/31.53 | | | | | | | | | | | | | | | | | e1) & ~ (all_57_14 = e0) & ~ (all_57_21 =
% 197.83/31.53 | | | | | | | | | | | | | | | | | e2) & op(e2, all_57_9) = all_57_8 & op(e2,
% 197.83/31.53 | | | | | | | | | | | | | | | | | all_57_11) = all_57_10 & op(e2, all_57_13) =
% 197.83/31.53 | | | | | | | | | | | | | | | | | all_57_12 & op(e2, all_57_15) = all_57_14 &
% 197.83/31.53 | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_9 & op(e2, e2) = all_57_11 &
% 197.83/31.53 | | | | | | | | | | | | | | | | | op(e2, e1) = all_57_13 & op(e2, e0) = all_57_15
% 197.83/31.53 | | | | | | | | | | | | | | | | | & op(e1, e2) = e1 & op(e1, e1) = all_57_21 &
% 197.83/31.53 | | | | | | | | | | | | | | | | | $i(all_57_8) & $i(all_57_9) & $i(all_57_10) &
% 197.83/31.53 | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_12) & $i(all_57_13) &
% 197.83/31.53 | | | | | | | | | | | | | | | | | $i(all_57_14) & $i(all_57_15) & $i(all_57_21)) |
% 197.83/31.53 | | | | | | | | | | | | | | | | | (op(e0, e0) = all_57_31 & $i(all_57_31) &
% 197.83/31.53 | | | | | | | | | | | | | | | | | ((all_57_23 = e1 & ~ (all_57_21 = e0) & ~
% 197.83/31.53 | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 197.83/31.53 | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) &
% 197.83/31.53 | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_21 & op(e1, e0) = e1 &
% 197.83/31.53 | | | | | | | | | | | | | | | | | op(e0, all_57_25) = all_57_24 & op(e0,
% 197.83/31.53 | | | | | | | | | | | | | | | | | all_57_27) = all_57_26 & op(e0, all_57_29)
% 197.83/31.53 | | | | | | | | | | | | | | | | | = all_57_28 & op(e0, all_57_31) = all_57_30
% 197.83/31.53 | | | | | | | | | | | | | | | | | & op(e0, e3) = all_57_25 & op(e0, e2) =
% 197.83/31.53 | | | | | | | | | | | | | | | | | all_57_27 & op(e0, e1) = all_57_29 &
% 197.83/31.53 | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_24) &
% 197.83/31.53 | | | | | | | | | | | | | | | | | $i(all_57_25) & $i(all_57_26) &
% 197.83/31.53 | | | | | | | | | | | | | | | | | $i(all_57_27) & $i(all_57_28) &
% 197.83/31.53 | | | | | | | | | | | | | | | | | $i(all_57_29) & $i(all_57_30)) | (all_57_25
% 197.83/31.53 | | | | | | | | | | | | | | | | | = e0 & ~ (all_57_0 = e3) & ~ (all_57_2 =
% 197.83/31.53 | | | | | | | | | | | | | | | | | e2) & ~ (all_57_4 = e1) & ~ (all_57_6 =
% 197.83/31.53 | | | | | | | | | | | | | | | | | e0) & ~ (all_57_31 = e3) & op(e3,
% 197.83/31.53 | | | | | | | | | | | | | | | | | all_57_1) = all_57_0 & op(e3, all_57_3) =
% 197.83/31.53 | | | | | | | | | | | | | | | | | all_57_2 & op(e3, all_57_5) = all_57_4 &
% 197.83/31.53 | | | | | | | | | | | | | | | | | op(e3, all_57_7) = all_57_6 & op(e3, e3) =
% 197.83/31.53 | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e2) = all_57_3 & op(e3,
% 197.83/31.53 | | | | | | | | | | | | | | | | | e1) = all_57_5 & op(e3, e0) = all_57_7 &
% 197.83/31.53 | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_0) &
% 197.83/31.53 | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_2) & $i(all_57_3) &
% 197.83/31.53 | | | | | | | | | | | | | | | | | $i(all_57_4) & $i(all_57_5) & $i(all_57_6) &
% 197.83/31.53 | | | | | | | | | | | | | | | | | $i(all_57_7)) | (all_57_27 = e0 & ~
% 197.83/31.53 | | | | | | | | | | | | | | | | | (all_57_8 = e3) & ~ (all_57_10 = e2) & ~
% 197.83/31.53 | | | | | | | | | | | | | | | | | (all_57_12 = e1) & ~ (all_57_14 = e0) & ~
% 197.83/31.53 | | | | | | | | | | | | | | | | | (all_57_31 = e2) & op(e2, all_57_9) =
% 197.83/31.53 | | | | | | | | | | | | | | | | | all_57_8 & op(e2, all_57_11) = all_57_10 &
% 197.83/31.53 | | | | | | | | | | | | | | | | | op(e2, all_57_13) = all_57_12 & op(e2,
% 197.83/31.53 | | | | | | | | | | | | | | | | | all_57_15) = all_57_14 & op(e2, e3) =
% 197.83/31.53 | | | | | | | | | | | | | | | | | all_57_9 & op(e2, e2) = all_57_11 & op(e2,
% 197.83/31.53 | | | | | | | | | | | | | | | | | e1) = all_57_13 & op(e2, e0) = all_57_15 &
% 197.83/31.53 | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_8) &
% 197.83/31.53 | | | | | | | | | | | | | | | | | $i(all_57_9) & $i(all_57_10) & $i(all_57_11)
% 197.83/31.53 | | | | | | | | | | | | | | | | | & $i(all_57_12) & $i(all_57_13) &
% 197.83/31.53 | | | | | | | | | | | | | | | | | $i(all_57_14) & $i(all_57_15)) | (all_57_29
% 197.83/31.53 | | | | | | | | | | | | | | | | | = e0 & ~ (all_57_16 = e3) & ~ (all_57_18 =
% 197.83/31.53 | | | | | | | | | | | | | | | | | e2) & ~ (all_57_20 = e1) & ~ (all_57_22
% 197.83/31.53 | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_31 = e1) & op(e1,
% 197.83/31.53 | | | | | | | | | | | | | | | | | all_57_17) = all_57_16 & op(e1, all_57_19)
% 197.83/31.53 | | | | | | | | | | | | | | | | | = all_57_18 & op(e1, all_57_21) = all_57_20
% 197.83/31.53 | | | | | | | | | | | | | | | | | & op(e1, all_57_23) = all_57_22 & op(e1, e3)
% 197.83/31.53 | | | | | | | | | | | | | | | | | = all_57_17 & op(e1, e2) = all_57_19 &
% 197.83/31.53 | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_21 & op(e1, e0) =
% 197.83/31.53 | | | | | | | | | | | | | | | | | all_57_23 & op(e0, e1) = e0 & $i(all_57_16)
% 197.83/31.53 | | | | | | | | | | | | | | | | | & $i(all_57_17) & $i(all_57_18) &
% 197.83/31.53 | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_20) &
% 197.83/31.53 | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_22) &
% 197.83/31.53 | | | | | | | | | | | | | | | | | $i(all_57_23))))
% 197.83/31.53 | | | | | | | | | | | | | | | | |
% 197.83/31.53 | | | | | | | | | | | | | | | | | BETA: splitting (7716) gives:
% 197.83/31.53 | | | | | | | | | | | | | | | | |
% 197.83/31.53 | | | | | | | | | | | | | | | | | Case 1:
% 197.83/31.53 | | | | | | | | | | | | | | | | | |
% 197.83/31.53 | | | | | | | | | | | | | | | | | | (7717) all_57_17 = e1 & ~ (all_57_0 = e3) & ~ (all_57_2
% 197.83/31.53 | | | | | | | | | | | | | | | | | | = e2) & ~ (all_57_4 = e1) & ~ (all_57_6 = e0)
% 197.83/31.53 | | | | | | | | | | | | | | | | | | & ~ (all_57_21 = e3) & op(e3, all_57_1) =
% 197.83/31.53 | | | | | | | | | | | | | | | | | | all_57_0 & op(e3, all_57_3) = all_57_2 & op(e3,
% 197.83/31.53 | | | | | | | | | | | | | | | | | | all_57_5) = all_57_4 & op(e3, all_57_7) =
% 197.83/31.53 | | | | | | | | | | | | | | | | | | all_57_6 & op(e3, e3) = all_57_1 & op(e3, e2) =
% 197.83/31.53 | | | | | | | | | | | | | | | | | | all_57_3 & op(e3, e1) = all_57_5 & op(e3, e0) =
% 197.83/31.53 | | | | | | | | | | | | | | | | | | all_57_7 & op(e1, e3) = e1 & op(e1, e1) =
% 197.83/31.53 | | | | | | | | | | | | | | | | | | all_57_21 & $i(all_57_0) & $i(all_57_1) &
% 197.83/31.53 | | | | | | | | | | | | | | | | | | $i(all_57_2) & $i(all_57_3) & $i(all_57_4) &
% 197.83/31.53 | | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 197.83/31.53 | | | | | | | | | | | | | | | | | | $i(all_57_21)
% 197.83/31.53 | | | | | | | | | | | | | | | | | |
% 197.83/31.53 | | | | | | | | | | | | | | | | | | ALPHA: (7717) implies:
% 197.83/31.53 | | | | | | | | | | | | | | | | | | (7718) op(e1, e3) = e1
% 197.83/31.53 | | | | | | | | | | | | | | | | | |
% 197.83/31.53 | | | | | | | | | | | | | | | | | | REF_CLOSE: (163), (7699), (7709), (7718), (function-axioms)
% 197.83/31.53 | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1750.
% 197.83/31.53 | | | | | | | | | | | | | | | | | |
% 197.83/31.53 | | | | | | | | | | | | | | | | | Case 2:
% 197.83/31.53 | | | | | | | | | | | | | | | | | |
% 197.83/31.53 | | | | | | | | | | | | | | | | | | (7719) (all_57_19 = e1 & ~ (all_57_8 = e3) & ~
% 197.83/31.53 | | | | | | | | | | | | | | | | | | (all_57_10 = e2) & ~ (all_57_12 = e1) & ~
% 197.83/31.53 | | | | | | | | | | | | | | | | | | (all_57_14 = e0) & ~ (all_57_21 = e2) & op(e2,
% 197.83/31.53 | | | | | | | | | | | | | | | | | | all_57_9) = all_57_8 & op(e2, all_57_11) =
% 197.83/31.53 | | | | | | | | | | | | | | | | | | all_57_10 & op(e2, all_57_13) = all_57_12 &
% 197.83/31.53 | | | | | | | | | | | | | | | | | | op(e2, all_57_15) = all_57_14 & op(e2, e3) =
% 197.83/31.53 | | | | | | | | | | | | | | | | | | all_57_9 & op(e2, e2) = all_57_11 & op(e2, e1) =
% 197.83/31.53 | | | | | | | | | | | | | | | | | | all_57_13 & op(e2, e0) = all_57_15 & op(e1, e2)
% 197.83/31.53 | | | | | | | | | | | | | | | | | | = e1 & op(e1, e1) = all_57_21 & $i(all_57_8) &
% 197.83/31.53 | | | | | | | | | | | | | | | | | | $i(all_57_9) & $i(all_57_10) & $i(all_57_11) &
% 197.83/31.53 | | | | | | | | | | | | | | | | | | $i(all_57_12) & $i(all_57_13) & $i(all_57_14) &
% 197.83/31.53 | | | | | | | | | | | | | | | | | | $i(all_57_15) & $i(all_57_21)) | (op(e0, e0) =
% 197.83/31.53 | | | | | | | | | | | | | | | | | | all_57_31 & $i(all_57_31) & ((all_57_23 = e1 &
% 197.83/31.53 | | | | | | | | | | | | | | | | | | ~ (all_57_21 = e0) & ~ (all_57_24 = e3) &
% 197.83/31.53 | | | | | | | | | | | | | | | | | | ~ (all_57_26 = e2) & ~ (all_57_28 = e1) &
% 197.83/31.53 | | | | | | | | | | | | | | | | | | ~ (all_57_30 = e0) & op(e1, e1) = all_57_21
% 197.83/31.53 | | | | | | | | | | | | | | | | | | & op(e1, e0) = e1 & op(e0, all_57_25) =
% 197.83/31.53 | | | | | | | | | | | | | | | | | | all_57_24 & op(e0, all_57_27) = all_57_26 &
% 197.83/31.53 | | | | | | | | | | | | | | | | | | op(e0, all_57_29) = all_57_28 & op(e0,
% 197.83/31.53 | | | | | | | | | | | | | | | | | | all_57_31) = all_57_30 & op(e0, e3) =
% 197.83/31.53 | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_27 & op(e0,
% 197.83/31.53 | | | | | | | | | | | | | | | | | | e1) = all_57_29 & $i(all_57_21) &
% 197.83/31.53 | | | | | | | | | | | | | | | | | | $i(all_57_24) & $i(all_57_25) &
% 197.83/31.53 | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_27) &
% 197.83/31.53 | | | | | | | | | | | | | | | | | | $i(all_57_28) & $i(all_57_29) &
% 197.83/31.53 | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_25 = e0 & ~
% 197.83/31.53 | | | | | | | | | | | | | | | | | | (all_57_0 = e3) & ~ (all_57_2 = e2) & ~
% 197.83/31.53 | | | | | | | | | | | | | | | | | | (all_57_4 = e1) & ~ (all_57_6 = e0) & ~
% 197.83/31.53 | | | | | | | | | | | | | | | | | | (all_57_31 = e3) & op(e3, all_57_1) =
% 197.83/31.53 | | | | | | | | | | | | | | | | | | all_57_0 & op(e3, all_57_3) = all_57_2 &
% 197.83/31.53 | | | | | | | | | | | | | | | | | | op(e3, all_57_5) = all_57_4 & op(e3,
% 197.83/31.53 | | | | | | | | | | | | | | | | | | all_57_7) = all_57_6 & op(e3, e3) =
% 197.83/31.53 | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e2) = all_57_3 & op(e3,
% 197.83/31.53 | | | | | | | | | | | | | | | | | | e1) = all_57_5 & op(e3, e0) = all_57_7 &
% 197.83/31.53 | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_0) &
% 197.83/31.53 | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_2) & $i(all_57_3) &
% 197.83/31.53 | | | | | | | | | | | | | | | | | | $i(all_57_4) & $i(all_57_5) & $i(all_57_6) &
% 197.83/31.53 | | | | | | | | | | | | | | | | | | $i(all_57_7)) | (all_57_27 = e0 & ~
% 197.83/31.53 | | | | | | | | | | | | | | | | | | (all_57_8 = e3) & ~ (all_57_10 = e2) & ~
% 197.83/31.53 | | | | | | | | | | | | | | | | | | (all_57_12 = e1) & ~ (all_57_14 = e0) & ~
% 197.83/31.53 | | | | | | | | | | | | | | | | | | (all_57_31 = e2) & op(e2, all_57_9) =
% 197.83/31.53 | | | | | | | | | | | | | | | | | | all_57_8 & op(e2, all_57_11) = all_57_10 &
% 197.83/31.53 | | | | | | | | | | | | | | | | | | op(e2, all_57_13) = all_57_12 & op(e2,
% 197.83/31.53 | | | | | | | | | | | | | | | | | | all_57_15) = all_57_14 & op(e2, e3) =
% 197.83/31.53 | | | | | | | | | | | | | | | | | | all_57_9 & op(e2, e2) = all_57_11 & op(e2,
% 197.83/31.53 | | | | | | | | | | | | | | | | | | e1) = all_57_13 & op(e2, e0) = all_57_15 &
% 197.83/31.53 | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_8) &
% 197.83/31.53 | | | | | | | | | | | | | | | | | | $i(all_57_9) & $i(all_57_10) & $i(all_57_11)
% 197.83/31.53 | | | | | | | | | | | | | | | | | | & $i(all_57_12) & $i(all_57_13) &
% 197.83/31.53 | | | | | | | | | | | | | | | | | | $i(all_57_14) & $i(all_57_15)) | (all_57_29
% 197.83/31.53 | | | | | | | | | | | | | | | | | | = e0 & ~ (all_57_16 = e3) & ~ (all_57_18 =
% 197.83/31.53 | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_20 = e1) & ~ (all_57_22
% 197.83/31.53 | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_31 = e1) & op(e1,
% 197.83/31.53 | | | | | | | | | | | | | | | | | | all_57_17) = all_57_16 & op(e1, all_57_19)
% 197.83/31.53 | | | | | | | | | | | | | | | | | | = all_57_18 & op(e1, all_57_21) = all_57_20
% 197.83/31.53 | | | | | | | | | | | | | | | | | | & op(e1, all_57_23) = all_57_22 & op(e1, e3)
% 197.83/31.53 | | | | | | | | | | | | | | | | | | = all_57_17 & op(e1, e2) = all_57_19 &
% 197.83/31.53 | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_21 & op(e1, e0) =
% 197.83/31.53 | | | | | | | | | | | | | | | | | | all_57_23 & op(e0, e1) = e0 & $i(all_57_16)
% 197.83/31.53 | | | | | | | | | | | | | | | | | | & $i(all_57_17) & $i(all_57_18) &
% 197.83/31.53 | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_20) &
% 197.83/31.53 | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_22) &
% 197.83/31.53 | | | | | | | | | | | | | | | | | | $i(all_57_23))))
% 197.83/31.53 | | | | | | | | | | | | | | | | | |
% 197.83/31.53 | | | | | | | | | | | | | | | | | | BETA: splitting (7719) gives:
% 197.83/31.53 | | | | | | | | | | | | | | | | | |
% 197.83/31.53 | | | | | | | | | | | | | | | | | | Case 1:
% 197.83/31.53 | | | | | | | | | | | | | | | | | | |
% 197.83/31.53 | | | | | | | | | | | | | | | | | | | (7720) all_57_19 = e1 & ~ (all_57_8 = e3) & ~
% 197.83/31.53 | | | | | | | | | | | | | | | | | | | (all_57_10 = e2) & ~ (all_57_12 = e1) & ~
% 197.83/31.53 | | | | | | | | | | | | | | | | | | | (all_57_14 = e0) & ~ (all_57_21 = e2) & op(e2,
% 197.83/31.53 | | | | | | | | | | | | | | | | | | | all_57_9) = all_57_8 & op(e2, all_57_11) =
% 197.83/31.53 | | | | | | | | | | | | | | | | | | | all_57_10 & op(e2, all_57_13) = all_57_12 & op(e2,
% 197.83/31.53 | | | | | | | | | | | | | | | | | | | all_57_15) = all_57_14 & op(e2, e3) = all_57_9 &
% 197.83/31.53 | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_11 & op(e2, e1) = all_57_13 &
% 197.83/31.53 | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_15 & op(e1, e2) = e1 & op(e1,
% 197.83/31.53 | | | | | | | | | | | | | | | | | | | e1) = all_57_21 & $i(all_57_8) & $i(all_57_9) &
% 197.83/31.53 | | | | | | | | | | | | | | | | | | | $i(all_57_10) & $i(all_57_11) & $i(all_57_12) &
% 197.83/31.53 | | | | | | | | | | | | | | | | | | | $i(all_57_13) & $i(all_57_14) & $i(all_57_15) &
% 197.83/31.53 | | | | | | | | | | | | | | | | | | | $i(all_57_21)
% 197.83/31.53 | | | | | | | | | | | | | | | | | | |
% 197.83/31.53 | | | | | | | | | | | | | | | | | | | ALPHA: (7720) implies:
% 197.83/31.53 | | | | | | | | | | | | | | | | | | | (7721) ~ (all_57_10 = e2)
% 197.83/31.53 | | | | | | | | | | | | | | | | | | | (7722) op(e2, e2) = all_57_11
% 197.83/31.53 | | | | | | | | | | | | | | | | | | | (7723) op(e2, all_57_11) = all_57_10
% 197.83/31.53 | | | | | | | | | | | | | | | | | | |
% 197.83/31.53 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (158), (162), (170), (227), (7572), (7573),
% 197.83/31.53 | | | | | | | | | | | | | | | | | | | (7574), (7721), (7722), (7723), (function-axioms)
% 197.83/31.53 | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1967.
% 197.83/31.53 | | | | | | | | | | | | | | | | | | |
% 197.83/31.53 | | | | | | | | | | | | | | | | | | Case 2:
% 197.83/31.53 | | | | | | | | | | | | | | | | | | |
% 197.83/31.53 | | | | | | | | | | | | | | | | | | | (7724) op(e0, e0) = all_57_31 & $i(all_57_31) &
% 197.83/31.53 | | | | | | | | | | | | | | | | | | | ((all_57_23 = e1 & ~ (all_57_21 = e0) & ~
% 197.83/31.53 | | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 197.83/31.53 | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) &
% 197.83/31.53 | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_21 & op(e1, e0) = e1 &
% 197.83/31.53 | | | | | | | | | | | | | | | | | | | op(e0, all_57_25) = all_57_24 & op(e0,
% 197.83/31.53 | | | | | | | | | | | | | | | | | | | all_57_27) = all_57_26 & op(e0, all_57_29) =
% 197.83/31.53 | | | | | | | | | | | | | | | | | | | all_57_28 & op(e0, all_57_31) = all_57_30 &
% 197.83/31.53 | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_25 & op(e0, e2) =
% 197.83/31.53 | | | | | | | | | | | | | | | | | | | all_57_27 & op(e0, e1) = all_57_29 &
% 197.83/31.53 | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_24) & $i(all_57_25)
% 197.83/31.53 | | | | | | | | | | | | | | | | | | | & $i(all_57_26) & $i(all_57_27) &
% 197.83/31.53 | | | | | | | | | | | | | | | | | | | $i(all_57_28) & $i(all_57_29) & $i(all_57_30))
% 197.83/31.53 | | | | | | | | | | | | | | | | | | | | (all_57_25 = e0 & ~ (all_57_0 = e3) & ~
% 197.83/31.53 | | | | | | | | | | | | | | | | | | | (all_57_2 = e2) & ~ (all_57_4 = e1) & ~
% 197.83/31.53 | | | | | | | | | | | | | | | | | | | (all_57_6 = e0) & ~ (all_57_31 = e3) & op(e3,
% 197.83/31.53 | | | | | | | | | | | | | | | | | | | all_57_1) = all_57_0 & op(e3, all_57_3) =
% 197.83/31.53 | | | | | | | | | | | | | | | | | | | all_57_2 & op(e3, all_57_5) = all_57_4 &
% 197.83/31.53 | | | | | | | | | | | | | | | | | | | op(e3, all_57_7) = all_57_6 & op(e3, e3) =
% 197.83/31.53 | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e2) = all_57_3 & op(e3, e1)
% 197.83/31.53 | | | | | | | | | | | | | | | | | | | = all_57_5 & op(e3, e0) = all_57_7 & op(e0,
% 197.83/31.53 | | | | | | | | | | | | | | | | | | | e3) = e0 & $i(all_57_0) & $i(all_57_1) &
% 197.83/31.53 | | | | | | | | | | | | | | | | | | | $i(all_57_2) & $i(all_57_3) & $i(all_57_4) &
% 197.83/31.53 | | | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_6) & $i(all_57_7)) |
% 197.83/31.53 | | | | | | | | | | | | | | | | | | | (all_57_27 = e0 & ~ (all_57_8 = e3) & ~
% 197.83/31.53 | | | | | | | | | | | | | | | | | | | (all_57_10 = e2) & ~ (all_57_12 = e1) & ~
% 197.83/31.53 | | | | | | | | | | | | | | | | | | | (all_57_14 = e0) & ~ (all_57_31 = e2) &
% 197.83/31.53 | | | | | | | | | | | | | | | | | | | op(e2, all_57_9) = all_57_8 & op(e2,
% 197.83/31.53 | | | | | | | | | | | | | | | | | | | all_57_11) = all_57_10 & op(e2, all_57_13) =
% 197.83/31.53 | | | | | | | | | | | | | | | | | | | all_57_12 & op(e2, all_57_15) = all_57_14 &
% 197.83/31.53 | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_9 & op(e2, e2) = all_57_11
% 197.83/31.53 | | | | | | | | | | | | | | | | | | | & op(e2, e1) = all_57_13 & op(e2, e0) =
% 197.83/31.53 | | | | | | | | | | | | | | | | | | | all_57_15 & op(e0, e2) = e0 & $i(all_57_8) &
% 197.83/31.53 | | | | | | | | | | | | | | | | | | | $i(all_57_9) & $i(all_57_10) & $i(all_57_11) &
% 197.83/31.53 | | | | | | | | | | | | | | | | | | | $i(all_57_12) & $i(all_57_13) & $i(all_57_14)
% 197.83/31.53 | | | | | | | | | | | | | | | | | | | & $i(all_57_15)) | (all_57_29 = e0 & ~
% 197.83/31.53 | | | | | | | | | | | | | | | | | | | (all_57_16 = e3) & ~ (all_57_18 = e2) & ~
% 197.83/31.53 | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_22 = e0) & ~
% 197.83/31.53 | | | | | | | | | | | | | | | | | | | (all_57_31 = e1) & op(e1, all_57_17) =
% 197.83/31.53 | | | | | | | | | | | | | | | | | | | all_57_16 & op(e1, all_57_19) = all_57_18 &
% 197.83/31.53 | | | | | | | | | | | | | | | | | | | op(e1, all_57_21) = all_57_20 & op(e1,
% 197.83/31.53 | | | | | | | | | | | | | | | | | | | all_57_23) = all_57_22 & op(e1, e3) =
% 197.83/31.53 | | | | | | | | | | | | | | | | | | | all_57_17 & op(e1, e2) = all_57_19 & op(e1,
% 197.83/31.53 | | | | | | | | | | | | | | | | | | | e1) = all_57_21 & op(e1, e0) = all_57_23 &
% 197.83/31.53 | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_16) &
% 197.83/31.53 | | | | | | | | | | | | | | | | | | | $i(all_57_17) & $i(all_57_18) & $i(all_57_19)
% 197.83/31.53 | | | | | | | | | | | | | | | | | | | & $i(all_57_20) & $i(all_57_21) &
% 197.83/31.53 | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_23)))
% 197.83/31.53 | | | | | | | | | | | | | | | | | | |
% 197.83/31.53 | | | | | | | | | | | | | | | | | | | ALPHA: (7724) implies:
% 197.83/31.53 | | | | | | | | | | | | | | | | | | | (7725) op(e0, e0) = all_57_31
% 197.83/31.53 | | | | | | | | | | | | | | | | | | | (7726) (all_57_23 = e1 & ~ (all_57_21 = e0) & ~
% 197.83/31.53 | | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 197.83/31.53 | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) & op(e1,
% 197.83/31.53 | | | | | | | | | | | | | | | | | | | e1) = all_57_21 & op(e1, e0) = e1 & op(e0,
% 197.83/31.53 | | | | | | | | | | | | | | | | | | | all_57_25) = all_57_24 & op(e0, all_57_27) =
% 197.83/31.53 | | | | | | | | | | | | | | | | | | | all_57_26 & op(e0, all_57_29) = all_57_28 &
% 197.83/31.53 | | | | | | | | | | | | | | | | | | | op(e0, all_57_31) = all_57_30 & op(e0, e3) =
% 197.83/31.53 | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_27 & op(e0, e1)
% 197.83/31.53 | | | | | | | | | | | | | | | | | | | = all_57_29 & $i(all_57_21) & $i(all_57_24) &
% 197.83/31.53 | | | | | | | | | | | | | | | | | | | $i(all_57_25) & $i(all_57_26) & $i(all_57_27) &
% 197.83/31.53 | | | | | | | | | | | | | | | | | | | $i(all_57_28) & $i(all_57_29) & $i(all_57_30)) |
% 197.83/31.53 | | | | | | | | | | | | | | | | | | | (all_57_25 = e0 & ~ (all_57_0 = e3) & ~
% 197.83/31.53 | | | | | | | | | | | | | | | | | | | (all_57_2 = e2) & ~ (all_57_4 = e1) & ~
% 197.83/31.53 | | | | | | | | | | | | | | | | | | | (all_57_6 = e0) & ~ (all_57_31 = e3) & op(e3,
% 197.83/31.53 | | | | | | | | | | | | | | | | | | | all_57_1) = all_57_0 & op(e3, all_57_3) =
% 197.83/31.53 | | | | | | | | | | | | | | | | | | | all_57_2 & op(e3, all_57_5) = all_57_4 & op(e3,
% 197.83/31.53 | | | | | | | | | | | | | | | | | | | all_57_7) = all_57_6 & op(e3, e3) = all_57_1 &
% 197.83/31.53 | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_3 & op(e3, e1) = all_57_5 &
% 197.83/31.53 | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_7 & op(e0, e3) = e0 &
% 197.83/31.53 | | | | | | | | | | | | | | | | | | | $i(all_57_0) & $i(all_57_1) & $i(all_57_2) &
% 197.83/31.53 | | | | | | | | | | | | | | | | | | | $i(all_57_3) & $i(all_57_4) & $i(all_57_5) &
% 197.83/31.53 | | | | | | | | | | | | | | | | | | | $i(all_57_6) & $i(all_57_7)) | (all_57_27 = e0 &
% 197.83/31.53 | | | | | | | | | | | | | | | | | | | ~ (all_57_8 = e3) & ~ (all_57_10 = e2) & ~
% 197.83/31.53 | | | | | | | | | | | | | | | | | | | (all_57_12 = e1) & ~ (all_57_14 = e0) & ~
% 197.83/31.53 | | | | | | | | | | | | | | | | | | | (all_57_31 = e2) & op(e2, all_57_9) = all_57_8 &
% 197.83/31.53 | | | | | | | | | | | | | | | | | | | op(e2, all_57_11) = all_57_10 & op(e2,
% 197.83/31.53 | | | | | | | | | | | | | | | | | | | all_57_13) = all_57_12 & op(e2, all_57_15) =
% 197.83/31.53 | | | | | | | | | | | | | | | | | | | all_57_14 & op(e2, e3) = all_57_9 & op(e2, e2) =
% 197.83/31.53 | | | | | | | | | | | | | | | | | | | all_57_11 & op(e2, e1) = all_57_13 & op(e2, e0)
% 197.83/31.53 | | | | | | | | | | | | | | | | | | | = all_57_15 & op(e0, e2) = e0 & $i(all_57_8) &
% 197.83/31.53 | | | | | | | | | | | | | | | | | | | $i(all_57_9) & $i(all_57_10) & $i(all_57_11) &
% 197.83/31.53 | | | | | | | | | | | | | | | | | | | $i(all_57_12) & $i(all_57_13) & $i(all_57_14) &
% 197.83/31.53 | | | | | | | | | | | | | | | | | | | $i(all_57_15)) | (all_57_29 = e0 & ~ (all_57_16
% 197.83/31.53 | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_18 = e2) & ~ (all_57_20 =
% 197.83/31.53 | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_22 = e0) & ~ (all_57_31 =
% 197.83/31.53 | | | | | | | | | | | | | | | | | | | e1) & op(e1, all_57_17) = all_57_16 & op(e1,
% 197.83/31.53 | | | | | | | | | | | | | | | | | | | all_57_19) = all_57_18 & op(e1, all_57_21) =
% 197.83/31.53 | | | | | | | | | | | | | | | | | | | all_57_20 & op(e1, all_57_23) = all_57_22 &
% 197.83/31.53 | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_17 & op(e1, e2) = all_57_19
% 197.83/31.53 | | | | | | | | | | | | | | | | | | | & op(e1, e1) = all_57_21 & op(e1, e0) =
% 197.83/31.53 | | | | | | | | | | | | | | | | | | | all_57_23 & op(e0, e1) = e0 & $i(all_57_16) &
% 197.83/31.53 | | | | | | | | | | | | | | | | | | | $i(all_57_17) & $i(all_57_18) & $i(all_57_19) &
% 197.83/31.53 | | | | | | | | | | | | | | | | | | | $i(all_57_20) & $i(all_57_21) & $i(all_57_22) &
% 197.83/31.53 | | | | | | | | | | | | | | | | | | | $i(all_57_23))
% 197.83/31.53 | | | | | | | | | | | | | | | | | | |
% 197.83/31.53 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e3,
% 197.83/31.53 | | | | | | | | | | | | | | | | | | | all_57_31, e0, e0, simplifying with (7532), (7725)
% 197.83/31.53 | | | | | | | | | | | | | | | | | | | gives:
% 197.83/31.53 | | | | | | | | | | | | | | | | | | | (7727) all_57_31 = e3
% 197.83/31.53 | | | | | | | | | | | | | | | | | | |
% 197.83/31.53 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_2,
% 197.83/31.53 | | | | | | | | | | | | | | | | | | | all_28_1, e3, e1, simplifying with (163), (7695)
% 197.83/31.53 | | | | | | | | | | | | | | | | | | | gives:
% 197.83/31.53 | | | | | | | | | | | | | | | | | | | (7728) all_52_2 = all_28_1
% 197.83/31.53 | | | | | | | | | | | | | | | | | | |
% 197.83/31.53 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_2,
% 197.83/31.53 | | | | | | | | | | | | | | | | | | | all_36_1, e3, e1, simplifying with (163), (7709)
% 197.83/31.53 | | | | | | | | | | | | | | | | | | | gives:
% 197.83/31.53 | | | | | | | | | | | | | | | | | | | (7729) all_52_2 = all_36_1
% 197.83/31.53 | | | | | | | | | | | | | | | | | | |
% 197.83/31.53 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (7728), (7729) imply:
% 197.83/31.53 | | | | | | | | | | | | | | | | | | | (7730) all_36_1 = all_28_1
% 197.83/31.53 | | | | | | | | | | | | | | | | | | |
% 197.83/31.53 | | | | | | | | | | | | | | | | | | | SIMP: (7730) implies:
% 197.83/31.53 | | | | | | | | | | | | | | | | | | | (7731) all_36_1 = all_28_1
% 197.83/31.53 | | | | | | | | | | | | | | | | | | |
% 197.83/31.53 | | | | | | | | | | | | | | | | | | | BETA: splitting (79) gives:
% 197.83/31.53 | | | | | | | | | | | | | | | | | | |
% 197.83/31.53 | | | | | | | | | | | | | | | | | | | Case 1:
% 197.83/31.53 | | | | | | | | | | | | | | | | | | | |
% 197.83/31.53 | | | | | | | | | | | | | | | | | | | | (7732) ~ (all_32_2 = e3)
% 197.83/31.53 | | | | | | | | | | | | | | | | | | | |
% 197.83/31.53 | | | | | | | | | | | | | | | | | | | | REDUCE: (301), (7732) imply:
% 197.83/31.53 | | | | | | | | | | | | | | | | | | | | (7733) ~ (all_4_2 = e3)
% 197.83/31.53 | | | | | | | | | | | | | | | | | | | |
% 197.83/31.53 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (158), (160), (162), (163), (164), (165),
% 197.83/31.53 | | | | | | | | | | | | | | | | | | | | (167), (168), (170), (194), (227), (238), (335),
% 197.83/31.53 | | | | | | | | | | | | | | | | | | | | (349), (367), (372), (375), (7529), (7532),
% 197.83/31.53 | | | | | | | | | | | | | | | | | | | | (7571), (7572), (7573), (7574), (7575), (7576),
% 197.83/31.53 | | | | | | | | | | | | | | | | | | | | (7733), (function-axioms) are inconsistent by
% 197.83/31.53 | | | | | | | | | | | | | | | | | | | | sub-proof #881.
% 197.83/31.53 | | | | | | | | | | | | | | | | | | | |
% 197.83/31.53 | | | | | | | | | | | | | | | | | | | Case 2:
% 197.83/31.53 | | | | | | | | | | | | | | | | | | | |
% 197.83/31.53 | | | | | | | | | | | | | | | | | | | | (7734) all_32_2 = e3
% 197.83/31.53 | | | | | | | | | | | | | | | | | | | | (7735) op(e3, e1) = all_32_1 & $i(all_32_1) & ( ~
% 197.83/31.53 | | | | | | | | | | | | | | | | | | | | (all_32_1 = e0) | ( ~ (all_32_0 = e2) & op(e0,
% 197.83/31.53 | | | | | | | | | | | | | | | | | | | | e3) = all_32_0 & $i(all_32_0)))
% 197.83/31.53 | | | | | | | | | | | | | | | | | | | |
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | ALPHA: (7735) implies:
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | (7736) op(e3, e1) = all_32_1
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | |
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (301), (7734) imply:
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | (7737) all_4_2 = e3
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | |
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | SIMP: (7737) implies:
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | (7738) all_4_2 = e3
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | |
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (295), (7738) imply:
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | (7739) all_50_2 = e3
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | |
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | REDUCE: (360), (7738) imply:
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | (7740) ~ (all_52_6 = e3)
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | |
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | REDUCE: (362), (7738) imply:
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | (7741) ~ (all_52_8 = e3)
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | |
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | REDUCE: (363), (7738) imply:
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | (7742) ~ (all_52_9 = e3)
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | |
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | BETA: splitting (106) gives:
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | |
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | | (7743) ~ (all_50_2 = e3)
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | | REDUCE: (7739), (7743) imply:
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | | (7744) $false
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | | CLOSE: (7744) is inconsistent.
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | | (7745) op(e3, e1) = all_50_1 & $i(all_50_1) & ( ~
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | | (all_50_1 = e2) | ( ~ (all_50_0 = e0) & op(e2,
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | | e3) = all_50_0 & $i(all_50_0)))
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | | ALPHA: (7745) implies:
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | | (7746) op(e3, e1) = all_50_1
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (224) gives:
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | | | (7747) (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e3)
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7747) gives:
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | | | | (7748) all_56_2 = e3 & op(e2, e3) = e3
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (236) gives:
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | | | | | (7749) (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_1 = e3
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e3)
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7749) gives:
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | | | | | | (7750) all_56_0 = e3 & op(e3, e3) = e3
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7750) implies:
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | | | | | | (7751) op(e3, e3) = e3
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (7705), (7751), (function-axioms) are
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1924.
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | | | | | | (7752) all_56_1 = e3 & op(e3, e2) = e3
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7752) implies:
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | | | | | | (7753) all_56_1 = e3
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | | | | | | (7754) op(e3, e2) = e3
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (216) gives:
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | | | | | | | (7755) (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_7 = e3
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e3)
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7755) gives:
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | (7756) all_56_6 = e3 & op(e1, e3) = e3
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7756) implies:
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | (7757) all_56_6 = e3
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | (7758) op(e1, e3) = e3
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (51), (164), (165),
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | (167), (224), (229), (231), (233), (7530), (7561),
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | (7571), (7577), (7742), (7757), (7758),
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | #1584.
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | (7759) all_56_7 = e3 & op(e1, e2) = e3
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (162), (7740), (7759), (function-axioms) are
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1827.
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | | | | | | | (7760) (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_11 =
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e1, e0) = e3)
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7760) gives:
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | (7761) all_56_8 = e3 & op(e1, e1) = e3
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7761) implies:
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | (7762) all_56_8 = e3
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | (7763) op(e1, e1) = e3
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7748) implies:
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | (7764) all_56_2 = e3
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | (7765) op(e2, e3) = e3
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_1, e3,
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | e3, e2, simplifying with (167), (7765) gives:
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | (7766) all_52_1 = e3
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_8,
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_32_1, e1, e3, simplifying with (169), (7736)
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | (7767) all_52_8 = all_32_1
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_8,
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_50_1, e1, e3, simplifying with (169), (7746)
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | (7768) all_52_8 = all_50_1
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_4, e3,
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | e2, e3, simplifying with (170), (7754) gives:
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | (7769) all_52_4 = e3
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (7767), (7768) imply:
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | (7770) all_50_1 = all_32_1
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7553), (7767) imply:
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | (7771) ~ (all_32_1 = all_10_1)
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7701), (7767) imply:
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | (7772) ~ (all_32_1 = e1)
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (219) gives:
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7773) (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e2)
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7773) gives:
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7774) all_56_4 = e2 & op(e3, e1) = e2
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7774) implies:
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7775) all_56_4 = e2
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7776) op(e3, e1) = e2
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (157), (158), (160),
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (162), (164), (170), (207), (211), (213), (225),
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (227), (230), (233), (235), (7523), (7532),
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7572), (7573), (7574), (7576), (7577), (7695),
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7703), (7705), (7710), (7725), (7726), (7731),
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7736), (7753), (7762), (7772), (7775), (7776),
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #866.
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7777) all_56_5 = e2 & op(e2, e1) = e2
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7777) implies:
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7778) op(e2, e1) = e2
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (7575), (7778), (function-axioms) are
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1942.
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7779) (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 =
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e1) = e2)
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7779) gives:
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7780) all_56_8 = e2 & op(e1, e1) = e2
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7780) implies:
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7781) op(e1, e1) = e2
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (7763), (7781), (function-axioms) are
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1919.
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7782) all_56_14 = e2 & op(e0, e1) = e2
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7782) implies:
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7783) all_56_14 = e2
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7784) op(e0, e1) = e2
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (207) gives:
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7785) (all_56_12 = e1 & op(e0, e3) = e1) | (all_56_13 =
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e2) = e1)
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7785) gives:
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7786) all_56_12 = e1 & op(e0, e3) = e1
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7786) implies:
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7787) all_56_12 = e1
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (229) gives:
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7788) (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e0)
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7788) gives:
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7789) all_56_0 = e0 & op(e3, e3) = e0
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7789) implies:
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7790) op(e3, e3) = e0
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (169), (170), (206),
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (217), (218), (222), (232), (234), (236), (7523),
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7524), (7532), (7572), (7577), (7725), (7726),
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7741), (7753), (7754), (7762), (7763), (7764),
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7765), (7783), (7790), (function-axioms) are
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #870.
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7791) all_56_2 = e0 & op(e2, e3) = e0
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (7764), (7791) are inconsistent by sub-proof
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1694.
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7792) (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 =
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e3) = e0)
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7792) gives:
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7793) all_56_6 = e0 & op(e1, e3) = e0
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7793) implies:
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7794) all_56_6 = e0
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (7), (8), (9), (233), (235), (7705),
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7787), (7794), (function-axioms) are inconsistent
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1551.
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7795) all_56_12 = e0 & op(e0, e3) = e0
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (7787), (7795) are inconsistent by sub-proof
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1868.
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7796) all_56_13 = e1 & op(e0, e2) = e1
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7796) implies:
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7797) all_56_13 = e1
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (218) gives:
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7798) (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_5 = e1
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e1)
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7798) gives:
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7799) all_56_4 = e1 & op(e3, e1) = e1
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7799) implies:
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7800) all_56_4 = e1
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (230), (234), (236),
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7705), (7754), (7800), (function-axioms) are
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1633.
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7801) all_56_5 = e1 & op(e2, e1) = e1
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7801) implies:
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7802) all_56_5 = e1
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (217) gives:
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7803) (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_5 = e0
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e0)
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7803) gives:
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7804) all_56_4 = e0 & op(e3, e1) = e0
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7804) implies:
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7805) all_56_4 = e0
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7806) op(e3, e1) = e0
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (234) gives:
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7807) (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_1 = e2
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e2)
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (170), (7572), (7705), (7807),
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1557.
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7808) (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_9 = e2
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e2)
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7808) gives:
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7809) all_56_4 = e2 & op(e3, e1) = e2
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7809) implies:
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7810) all_56_4 = e2
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7811) op(e3, e1) = e2
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (157), (158), (160),
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (162), (164), (170), (207), (211), (213), (225),
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (227), (230), (233), (235), (7523), (7532),
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7572), (7573), (7574), (7576), (7577), (7695),
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7703), (7705), (7710), (7725), (7726), (7731),
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7736), (7753), (7762), (7772), (7810), (7811),
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #866.
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7812) all_56_9 = e2 & op(e3, e0) = e2
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7812) implies:
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7813) all_56_9 = e2
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7814) op(e3, e0) = e2
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (225) gives:
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7815) (all_56_1 = e0 & op(e3, e2) = e0) | (all_56_3 = e0
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e0)
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (7), (7577), (7753), (7815),
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1731.
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7816) (all_56_7 = e0 & op(e1, e2) = e0) | (all_56_13 =
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0)
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7816) gives:
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7817) all_56_7 = e0 & op(e1, e2) = e0
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7817) implies:
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7818) all_56_7 = e0
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (214) gives:
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7819) (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_7 = e1
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e1)
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (163), (7699), (7709), (7818), (7819),
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1109.
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7820) (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_11 =
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e1, e0) = e1)
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7820) gives:
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7821) all_56_8 = e1 & op(e1, e1) = e1
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7821) implies:
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7822) op(e1, e1) = e1
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (7763), (7822), (function-axioms) are
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1958.
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7823) all_56_11 = e1 & op(e1, e0) = e1
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7823) implies:
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7824) op(e1, e0) = e1
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (215) gives:
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7825) (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_7 = e2
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e2)
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7825) gives:
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7826) all_56_6 = e2 & op(e1, e3) = e2
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7826) implies:
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7827) all_56_6 = e2
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (229) gives:
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7828) (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e0)
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7828) gives:
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7829) all_56_0 = e0 & op(e3, e3) = e0
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7829) implies:
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7830) op(e3, e3) = e0
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (7), (8), (9), (232), (236), (7805),
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7813), (7814), (7830), (function-axioms) are
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1252.
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7831) all_56_2 = e0 & op(e2, e3) = e0
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (7764), (7831) are inconsistent by sub-proof
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1694.
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7832) (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 =
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e3) = e0)
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7832) gives:
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7833) all_56_6 = e0 & op(e1, e3) = e0
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (7827), (7833) are inconsistent by sub-proof
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1878.
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7834) all_56_12 = e0 & op(e0, e3) = e0
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7834) implies:
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7835) op(e0, e3) = e0
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_11,
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2, e1, e0, simplifying with (157), (7784) gives:
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7836) all_52_11 = e2
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_3, e0,
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3, e0, simplifying with (159), (7835) gives:
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7837) all_52_3 = e0
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_10_1, e2,
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0, e3, simplifying with (7523), (7814) gives:
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7838) all_10_1 = e2
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_32_1, e0,
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1, e3, simplifying with (7736), (7806) gives:
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7839) all_32_1 = e0
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7771), (7838), (7839) imply:
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7840) ~ (e2 = e0)
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7524) gives:
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7841) ~ (all_10_1 = e2)
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7523), (7814), (7841), (function-axioms) are
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #874.
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7842) ~ (all_10_0 = e1) & op(e2, e3) = all_10_0 &
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_10_0)
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7842) implies:
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7843) op(e2, e3) = all_10_0
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7726) gives:
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7844) (all_57_23 = e1 & ~ (all_57_21 = e0) & ~
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) & op(e1,
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_21 & op(e1, e0) = e1 & op(e0,
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25) = all_57_24 & op(e0, all_57_27) =
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e0, all_57_29) = all_57_28 &
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_31) = all_57_30 & op(e0, e3) =
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_27 & op(e0, e1)
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_29 & $i(all_57_21) & $i(all_57_24) &
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_25) & $i(all_57_26) & $i(all_57_27) &
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28) & $i(all_57_29) & $i(all_57_30)) |
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_25 = e0 & ~ (all_57_0 = e3) & ~
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e2) & ~ (all_57_4 = e1) & ~
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_6 = e0) & ~ (all_57_31 = e3) & op(e3,
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1) = all_57_0 & op(e3, all_57_3) =
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_2 & op(e3, all_57_5) = all_57_4 & op(e3,
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7) = all_57_6 & op(e3, e3) = all_57_1 &
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_3 & op(e3, e1) = all_57_5 &
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_7 & op(e0, e3) = e0 &
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_0) & $i(all_57_1) & $i(all_57_2) &
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_3) & $i(all_57_4) & $i(all_57_5) &
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_6) & $i(all_57_7))
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7844) gives:
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7845) all_57_23 = e1 & ~ (all_57_21 = e0) & ~
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) & op(e1,
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_21 & op(e1, e0) = e1 & op(e0,
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25) = all_57_24 & op(e0, all_57_27) =
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e0, all_57_29) = all_57_28 & op(e0,
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_31) = all_57_30 & op(e0, e3) = all_57_25
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e2) = all_57_27 & op(e0, e1) = all_57_29
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_21) & $i(all_57_24) & $i(all_57_25) &
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_27) & $i(all_57_28) &
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29) & $i(all_57_30)
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7845) implies:
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7846) ~ (all_57_30 = e0)
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7847) op(e0, e3) = all_57_25
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7848) op(e0, all_57_31) = all_57_30
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7532), (7725), (7835), (7846), (7847), (7848),
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #865.
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7849) all_57_25 = e0 & ~ (all_57_0 = e3) & ~ (all_57_2
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2) & ~ (all_57_4 = e1) & ~ (all_57_6 = e0)
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_31 = e3) & op(e3, all_57_1) =
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_0 & op(e3, all_57_3) = all_57_2 & op(e3,
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_5) = all_57_4 & op(e3, all_57_7) =
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_6 & op(e3, e3) = all_57_1 & op(e3, e2) =
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 & op(e3, e1) = all_57_5 & op(e3, e0) =
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7 & op(e0, e3) = e0 & $i(all_57_0) &
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_2) & $i(all_57_3) &
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4) & $i(all_57_5) & $i(all_57_6) &
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7)
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7849) implies:
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7850) ~ (all_57_31 = e3)
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7532), (7725), (7850), (function-axioms) are
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #883.
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.83/31.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7851) (all_57_27 = e0 & ~ (all_57_8 = e3) & ~
% 197.83/31.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e2) & ~ (all_57_12 = e1) & ~
% 197.83/31.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e0) & ~ (all_57_31 = e2) & op(e2,
% 197.83/31.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_9) = all_57_8 & op(e2, all_57_11) =
% 197.83/31.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e2, all_57_13) = all_57_12 &
% 197.83/31.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_15) = all_57_14 & op(e2, e3) =
% 197.83/31.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_9 & op(e2, e2) = all_57_11 & op(e2, e1) =
% 197.83/31.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_13 & op(e2, e0) = all_57_15 & op(e0, e2)
% 197.83/31.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & $i(all_57_8) & $i(all_57_9) &
% 197.83/31.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & $i(all_57_11) & $i(all_57_12) &
% 197.83/31.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13) & $i(all_57_14) & $i(all_57_15)) |
% 197.83/31.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_29 = e0 & ~ (all_57_16 = e3) & ~
% 197.83/31.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_18 = e2) & ~ (all_57_20 = e1) & ~
% 197.83/31.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_22 = e0) & ~ (all_57_31 = e1) & op(e1,
% 197.83/31.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17) = all_57_16 & op(e1, all_57_19) =
% 197.83/31.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_18 & op(e1, all_57_21) = all_57_20 &
% 197.83/31.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_23) = all_57_22 & op(e1, e3) =
% 197.83/31.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e1, e2) = all_57_19 & op(e1, e1)
% 197.83/31.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_21 & op(e1, e0) = all_57_23 & op(e0,
% 197.83/31.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0 & $i(all_57_16) & $i(all_57_17) &
% 197.83/31.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_19) & $i(all_57_20) &
% 197.83/31.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_22) & $i(all_57_23))
% 197.83/31.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7851) gives:
% 197.83/31.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.83/31.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7852) all_57_27 = e0 & ~ (all_57_8 = e3) & ~
% 197.83/31.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e2) & ~ (all_57_12 = e1) & ~
% 197.83/31.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e0) & ~ (all_57_31 = e2) & op(e2,
% 197.83/31.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_9) = all_57_8 & op(e2, all_57_11) =
% 197.83/31.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e2, all_57_13) = all_57_12 & op(e2,
% 197.83/31.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15) = all_57_14 & op(e2, e3) = all_57_9 &
% 197.83/31.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_11 & op(e2, e1) = all_57_13 &
% 197.83/31.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_15 & op(e0, e2) = e0 &
% 197.83/31.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8) & $i(all_57_9) & $i(all_57_10) &
% 197.83/31.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_12) & $i(all_57_13) &
% 197.83/31.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & $i(all_57_15)
% 197.83/31.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7852) implies:
% 197.83/31.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7853) ~ (all_57_8 = e3)
% 197.83/31.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7854) op(e2, e3) = all_57_9
% 197.83/31.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7855) op(e2, all_57_9) = all_57_8
% 197.83/31.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7765), (7843), (7853), (7854), (7855),
% 197.83/31.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 197.83/31.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #873.
% 197.83/31.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.83/31.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7856) all_57_29 = e0 & ~ (all_57_16 = e3) & ~
% 197.83/31.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_18 = e2) & ~ (all_57_20 = e1) & ~
% 197.83/31.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_22 = e0) & ~ (all_57_31 = e1) & op(e1,
% 197.83/31.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17) = all_57_16 & op(e1, all_57_19) =
% 197.83/31.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_18 & op(e1, all_57_21) = all_57_20 & op(e1,
% 197.83/31.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23) = all_57_22 & op(e1, e3) = all_57_17
% 197.83/31.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = all_57_19 & op(e1, e1) = all_57_21
% 197.83/31.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e0) = all_57_23 & op(e0, e1) = e0 &
% 197.83/31.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_16) & $i(all_57_17) & $i(all_57_18) &
% 197.83/31.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_20) & $i(all_57_21) &
% 197.83/31.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_23)
% 197.83/31.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7856) implies:
% 197.83/31.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7857) op(e0, e1) = e0
% 197.83/31.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e2, e0, e1,
% 197.83/31.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0, simplifying with (7784), (7857) gives:
% 197.83/31.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7858) e2 = e0
% 197.83/31.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5), (7858) imply:
% 197.83/31.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7859) $false
% 197.83/31.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (7859) is inconsistent.
% 197.83/31.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.83/31.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.83/31.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.83/31.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.83/31.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.83/31.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.83/31.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7860) all_56_7 = e2 & op(e1, e2) = e2
% 197.83/31.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7860) implies:
% 197.83/31.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7861) op(e1, e2) = e2
% 197.83/31.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (162), (7573), (7861), (function-axioms) are
% 197.83/31.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1970.
% 197.83/31.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.83/31.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.83/31.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7862) (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_11 =
% 197.83/31.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e1, e0) = e2)
% 197.83/31.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (9), (7763), (7824), (7862),
% 197.83/31.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 197.83/31.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #864.
% 197.83/31.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.83/31.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.83/31.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.83/31.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.83/31.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7863) all_56_13 = e0 & op(e0, e2) = e0
% 197.83/31.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (7797), (7863) are inconsistent by sub-proof
% 197.83/31.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1075.
% 197.83/31.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.83/31.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.83/31.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.83/31.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.83/31.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.83/31.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7864) all_56_5 = e0 & op(e2, e1) = e0
% 197.83/31.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7864) implies:
% 197.83/31.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7865) all_56_5 = e0
% 197.83/31.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (7802), (7865) are inconsistent by sub-proof
% 197.83/31.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1805.
% 197.83/31.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.83/31.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.83/31.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7866) (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_14 =
% 197.83/31.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0)
% 197.83/31.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7866) gives:
% 197.83/31.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.83/31.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7867) all_56_8 = e0 & op(e1, e1) = e0
% 197.83/31.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (7762), (7867) are inconsistent by sub-proof
% 197.83/31.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #878.
% 197.83/31.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.83/31.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7868) all_56_14 = e0 & op(e0, e1) = e0
% 197.83/31.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7868) implies:
% 197.83/31.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7869) op(e0, e1) = e0
% 197.83/31.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (7784), (7869), (function-axioms) are
% 197.83/31.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1712.
% 197.83/31.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.83/31.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.83/31.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.83/31.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.83/31.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7870) (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_14 =
% 197.83/31.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e1) = e1)
% 197.83/31.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (8), (7763), (7783), (7870),
% 197.83/31.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 197.83/31.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #975.
% 197.83/31.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.83/31.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.83/31.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.83/31.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7871) (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 =
% 197.83/31.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = e1)
% 197.83/31.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (8), (7532), (7783), (7871),
% 197.83/31.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 197.83/31.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1650.
% 197.83/31.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.83/31.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.83/31.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.83/31.55 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.55 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.83/31.55 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | (7872) all_56_11 = e3 & op(e1, e0) = e3
% 197.83/31.55 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (160), (7531), (7872), (function-axioms) are
% 197.83/31.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1762.
% 197.83/31.55 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.55 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.83/31.55 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.55 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.83/31.55 | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.55 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.83/31.55 | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.55 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.83/31.55 | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.55 | | | | | | | | | | | | | | | | | | | | | | | | (7873) (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_9 = e3
% 197.83/31.55 | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e3)
% 197.83/31.55 | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.55 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (168), (169), (7529), (7741), (7873),
% 197.83/31.55 | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 197.83/31.55 | | | | | | | | | | | | | | | | | | | | | | | | #1616.
% 197.83/31.55 | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.55 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.83/31.55 | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.55 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.83/31.55 | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.55 | | | | | | | | | | | | | | | | | | | | | | | (7874) all_56_3 = e3 & op(e2, e2) = e3
% 197.83/31.55 | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.55 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7874) implies:
% 197.83/31.55 | | | | | | | | | | | | | | | | | | | | | | | (7875) op(e2, e2) = e3
% 197.83/31.55 | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.55 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (7577), (7875), (function-axioms) are
% 197.83/31.55 | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1963.
% 197.83/31.55 | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.55 | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.83/31.55 | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.55 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.83/31.55 | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.55 | | | | | | | | | | | | | | | | | | | | | | (7876) (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 =
% 197.83/31.55 | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e0) = e3)
% 197.83/31.55 | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.55 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (165), (7530), (7742), (7876),
% 197.83/31.55 | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 197.83/31.55 | | | | | | | | | | | | | | | | | | | | | | #1658.
% 197.83/31.55 | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.55 | | | | | | | | | | | | | | | | | | | | | End of split
% 197.83/31.55 | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.55 | | | | | | | | | | | | | | | | | | | | End of split
% 197.83/31.55 | | | | | | | | | | | | | | | | | | | |
% 197.83/31.55 | | | | | | | | | | | | | | | | | | | End of split
% 197.83/31.55 | | | | | | | | | | | | | | | | | | |
% 197.83/31.55 | | | | | | | | | | | | | | | | | | End of split
% 197.83/31.55 | | | | | | | | | | | | | | | | | |
% 197.83/31.55 | | | | | | | | | | | | | | | | | End of split
% 197.83/31.55 | | | | | | | | | | | | | | | | |
% 197.83/31.55 | | | | | | | | | | | | | | | | End of split
% 197.83/31.55 | | | | | | | | | | | | | | | |
% 197.83/31.55 | | | | | | | | | | | | | | | End of split
% 197.83/31.55 | | | | | | | | | | | | | | |
% 197.83/31.55 | | | | | | | | | | | | | | End of split
% 197.83/31.55 | | | | | | | | | | | | | |
% 197.83/31.55 | | | | | | | | | | | | | End of split
% 197.83/31.55 | | | | | | | | | | | | |
% 197.83/31.55 | | | | | | | | | | | | Case 2:
% 197.83/31.55 | | | | | | | | | | | | |
% 197.83/31.55 | | | | | | | | | | | | | (7877) all_54_5 = e1 | all_54_5 = e0
% 197.83/31.55 | | | | | | | | | | | | |
% 197.83/31.55 | | | | | | | | | | | | | REF_CLOSE: (268), (373), (7565), (7877) are inconsistent by
% 197.83/31.55 | | | | | | | | | | | | | sub-proof #1517.
% 197.83/31.55 | | | | | | | | | | | | |
% 197.83/31.55 | | | | | | | | | | | | End of split
% 197.83/31.55 | | | | | | | | | | | |
% 197.83/31.55 | | | | | | | | | | | End of split
% 197.83/31.55 | | | | | | | | | | |
% 197.83/31.55 | | | | | | | | | | Case 2:
% 197.83/31.55 | | | | | | | | | | |
% 197.83/31.55 | | | | | | | | | | | (7878) all_20_2 = e0
% 197.83/31.55 | | | | | | | | | | | (7879) op(e0, e2) = all_20_1 & $i(all_20_1) & ( ~
% 197.83/31.55 | | | | | | | | | | | (all_20_1 = e3) | ( ~ (all_20_0 = e1) & op(e3,
% 197.83/31.55 | | | | | | | | | | | e0) = all_20_0 & $i(all_20_0)))
% 197.83/31.55 | | | | | | | | | | |
% 197.83/31.55 | | | | | | | | | | | ALPHA: (7879) implies:
% 197.83/31.55 | | | | | | | | | | | (7880) op(e0, e2) = all_20_1
% 197.83/31.55 | | | | | | | | | | |
% 197.83/31.55 | | | | | | | | | | | COMBINE_EQS: (283), (7878) imply:
% 197.83/31.55 | | | | | | | | | | | (7881) all_6_2 = e0
% 197.83/31.55 | | | | | | | | | | |
% 197.83/31.55 | | | | | | | | | | | COMBINE_EQS: (331), (7881) imply:
% 197.83/31.55 | | | | | | | | | | | (7882) all_26_2 = e0
% 197.83/31.55 | | | | | | | | | | |
% 197.83/31.55 | | | | | | | | | | | REDUCE: (348), (7881) imply:
% 197.83/31.55 | | | | | | | | | | | (7883) ~ (all_52_1 = e0)
% 197.83/31.55 | | | | | | | | | | |
% 197.83/31.55 | | | | | | | | | | | REDUCE: (351), (7881) imply:
% 197.83/31.55 | | | | | | | | | | | (7884) ~ (all_52_4 = e0)
% 197.83/31.55 | | | | | | | | | | |
% 197.83/31.55 | | | | | | | | | | | REDUCE: (353), (7881) imply:
% 197.83/31.55 | | | | | | | | | | | (7885) ~ (all_52_6 = e0)
% 197.83/31.55 | | | | | | | | | | |
% 197.83/31.55 | | | | | | | | | | | REDUCE: (355), (7881) imply:
% 197.83/31.55 | | | | | | | | | | | (7886) ~ (all_52_7 = e0)
% 197.83/31.55 | | | | | | | | | | |
% 197.83/31.55 | | | | | | | | | | | REDUCE: (357), (7881) imply:
% 197.83/31.55 | | | | | | | | | | | (7887) ~ (all_52_9 = e0)
% 197.83/31.55 | | | | | | | | | | |
% 197.83/31.55 | | | | | | | | | | | REDUCE: (359), (7881) imply:
% 197.83/31.55 | | | | | | | | | | | (7888) ~ (all_52_13 = e0)
% 197.83/31.55 | | | | | | | | | | |
% 197.83/31.55 | | | | | | | | | | | REDUCE: (7563), (7881) imply:
% 197.83/31.55 | | | | | | | | | | | (7889) ~ (e3 = e0)
% 197.83/31.55 | | | | | | | | | | |
% 197.83/31.55 | | | | | | | | | | | REDUCE: (373), (7881) imply:
% 197.83/31.55 | | | | | | | | | | | (7890) ~ (e1 = e0)
% 197.83/31.55 | | | | | | | | | | |
% 197.83/31.55 | | | | | | | | | | | REDUCE: (39), (7881) imply:
% 197.83/31.55 | | | | | | | | | | | (7891) op(e2, e2) = e0
% 197.83/31.55 | | | | | | | | | | |
% 197.83/31.55 | | | | | | | | | | | BETA: splitting (70) gives:
% 197.83/31.55 | | | | | | | | | | |
% 197.83/31.55 | | | | | | | | | | | Case 1:
% 197.83/31.55 | | | | | | | | | | | |
% 197.83/31.55 | | | | | | | | | | | | (7892) ~ (all_26_2 = e0)
% 197.83/31.55 | | | | | | | | | | | |
% 197.83/31.55 | | | | | | | | | | | | REDUCE: (7882), (7892) imply:
% 197.83/31.55 | | | | | | | | | | | | (7893) $false
% 197.83/31.55 | | | | | | | | | | | |
% 197.83/31.55 | | | | | | | | | | | | CLOSE: (7893) is inconsistent.
% 197.83/31.55 | | | | | | | | | | | |
% 197.83/31.55 | | | | | | | | | | | Case 2:
% 197.83/31.55 | | | | | | | | | | | |
% 197.83/31.55 | | | | | | | | | | | | (7894) op(e0, e2) = all_26_1 & $i(all_26_1) & ( ~
% 197.83/31.55 | | | | | | | | | | | | (all_26_1 = e1) | ( ~ (all_26_0 = e3) & op(e1,
% 197.83/31.55 | | | | | | | | | | | | e0) = all_26_0 & $i(all_26_0)))
% 197.83/31.55 | | | | | | | | | | | |
% 197.83/31.55 | | | | | | | | | | | | ALPHA: (7894) implies:
% 197.83/31.55 | | | | | | | | | | | | (7895) op(e0, e2) = all_26_1
% 197.83/31.55 | | | | | | | | | | | | (7896) ~ (all_26_1 = e1) | ( ~ (all_26_0 = e3) & op(e1,
% 197.83/31.55 | | | | | | | | | | | | e0) = all_26_0 & $i(all_26_0))
% 197.83/31.55 | | | | | | | | | | | |
% 197.83/31.55 | | | | | | | | | | | | BETA: splitting (221) gives:
% 197.83/31.55 | | | | | | | | | | | |
% 197.83/31.55 | | | | | | | | | | | | Case 1:
% 197.83/31.55 | | | | | | | | | | | | |
% 197.83/31.55 | | | | | | | | | | | | | (7897) (all_56_2 = e0 & op(e2, e3) = e0) | (all_56_3 = e0
% 197.83/31.55 | | | | | | | | | | | | | & op(e2, e2) = e0)
% 197.83/31.55 | | | | | | | | | | | | |
% 197.83/31.55 | | | | | | | | | | | | | BETA: splitting (7897) gives:
% 197.83/31.55 | | | | | | | | | | | | |
% 197.83/31.55 | | | | | | | | | | | | | Case 1:
% 197.83/31.55 | | | | | | | | | | | | | |
% 197.83/31.55 | | | | | | | | | | | | | | (7898) all_56_2 = e0 & op(e2, e3) = e0
% 197.83/31.55 | | | | | | | | | | | | | |
% 197.83/31.55 | | | | | | | | | | | | | | ALPHA: (7898) implies:
% 197.83/31.55 | | | | | | | | | | | | | | (7899) all_56_2 = e0
% 197.83/31.55 | | | | | | | | | | | | | |
% 197.83/31.55 | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (158), (162), (222),
% 197.83/31.55 | | | | | | | | | | | | | | (223), (224), (225), (226), (227), (228), (7885),
% 197.83/31.55 | | | | | | | | | | | | | | (7886), (7891), (7899), (function-axioms) are
% 197.83/31.55 | | | | | | | | | | | | | | inconsistent by sub-proof #1485.
% 197.83/31.55 | | | | | | | | | | | | | |
% 197.83/31.55 | | | | | | | | | | | | | Case 2:
% 197.83/31.55 | | | | | | | | | | | | | |
% 197.83/31.55 | | | | | | | | | | | | | | (7900) all_56_3 = e0 & op(e2, e2) = e0
% 197.83/31.55 | | | | | | | | | | | | | |
% 197.83/31.55 | | | | | | | | | | | | | | ALPHA: (7900) implies:
% 197.83/31.55 | | | | | | | | | | | | | | (7901) all_56_3 = e0
% 197.83/31.55 | | | | | | | | | | | | | |
% 197.83/31.55 | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_7,
% 197.83/31.55 | | | | | | | | | | | | | | all_20_1, e2, e0, simplifying with (158), (7880)
% 197.83/31.55 | | | | | | | | | | | | | | gives:
% 197.83/31.55 | | | | | | | | | | | | | | (7902) all_52_7 = all_20_1
% 197.83/31.55 | | | | | | | | | | | | | |
% 197.83/31.55 | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_7,
% 197.83/31.55 | | | | | | | | | | | | | | all_26_1, e2, e0, simplifying with (158), (7895)
% 197.83/31.55 | | | | | | | | | | | | | | gives:
% 197.83/31.55 | | | | | | | | | | | | | | (7903) all_52_7 = all_26_1
% 197.83/31.55 | | | | | | | | | | | | | |
% 197.83/31.55 | | | | | | | | | | | | | | COMBINE_EQS: (7902), (7903) imply:
% 197.83/31.55 | | | | | | | | | | | | | | (7904) all_26_1 = all_20_1
% 197.83/31.55 | | | | | | | | | | | | | |
% 197.83/31.55 | | | | | | | | | | | | | | SIMP: (7904) implies:
% 197.83/31.55 | | | | | | | | | | | | | | (7905) all_26_1 = all_20_1
% 197.83/31.55 | | | | | | | | | | | | | |
% 197.83/31.55 | | | | | | | | | | | | | | COMBINE_EQS: (248), (7902) imply:
% 197.83/31.55 | | | | | | | | | | | | | | (7906) all_54_13 = all_20_1
% 197.83/31.55 | | | | | | | | | | | | | |
% 197.83/31.55 | | | | | | | | | | | | | | REDUCE: (140), (7902) imply:
% 197.83/31.55 | | | | | | | | | | | | | | (7907) ~ (all_52_3 = all_20_1)
% 197.83/31.55 | | | | | | | | | | | | | |
% 197.83/31.55 | | | | | | | | | | | | | | REDUCE: (135), (7902) imply:
% 197.83/31.55 | | | | | | | | | | | | | | (7908) ~ (all_52_4 = all_20_1)
% 197.83/31.55 | | | | | | | | | | | | | |
% 197.83/31.55 | | | | | | | | | | | | | | REDUCE: (128), (7902) imply:
% 197.83/31.55 | | | | | | | | | | | | | | (7909) ~ (all_52_6 = all_20_1)
% 197.83/31.55 | | | | | | | | | | | | | |
% 197.83/31.55 | | | | | | | | | | | | | | REDUCE: (125), (7902) imply:
% 197.83/31.55 | | | | | | | | | | | | | | (7910) ~ (all_52_11 = all_20_1)
% 197.83/31.55 | | | | | | | | | | | | | |
% 197.83/31.55 | | | | | | | | | | | | | | SIMP: (7910) implies:
% 197.83/31.55 | | | | | | | | | | | | | | (7911) ~ (all_52_11 = all_20_1)
% 197.83/31.55 | | | | | | | | | | | | | |
% 197.83/31.55 | | | | | | | | | | | | | | REDUCE: (7527), (7902) imply:
% 197.83/31.55 | | | | | | | | | | | | | | (7912) ~ (all_20_1 = e3)
% 197.83/31.55 | | | | | | | | | | | | | |
% 197.83/31.55 | | | | | | | | | | | | | | REDUCE: (7886), (7902) imply:
% 197.83/31.55 | | | | | | | | | | | | | | (7913) ~ (all_20_1 = e0)
% 197.83/31.55 | | | | | | | | | | | | | |
% 197.83/31.55 | | | | | | | | | | | | | | BETA: splitting (73) gives:
% 197.83/31.55 | | | | | | | | | | | | | |
% 197.83/31.55 | | | | | | | | | | | | | | Case 1:
% 197.83/31.55 | | | | | | | | | | | | | | |
% 197.83/31.55 | | | | | | | | | | | | | | | (7914) ~ (all_28_2 = e1)
% 197.83/31.55 | | | | | | | | | | | | | | |
% 197.83/31.55 | | | | | | | | | | | | | | | REDUCE: (315), (7914) imply:
% 197.83/31.55 | | | | | | | | | | | | | | | (7915) ~ (all_14_2 = e1)
% 197.83/31.55 | | | | | | | | | | | | | | |
% 197.83/31.55 | | | | | | | | | | | | | | | BETA: splitting (79) gives:
% 197.83/31.55 | | | | | | | | | | | | | | |
% 197.83/31.55 | | | | | | | | | | | | | | | Case 1:
% 197.83/31.55 | | | | | | | | | | | | | | | |
% 197.83/31.55 | | | | | | | | | | | | | | | | (7916) ~ (all_32_2 = e3)
% 197.83/31.55 | | | | | | | | | | | | | | | |
% 197.83/31.55 | | | | | | | | | | | | | | | | REDUCE: (301), (7916) imply:
% 197.83/31.55 | | | | | | | | | | | | | | | | (7917) ~ (all_4_2 = e3)
% 197.83/31.55 | | | | | | | | | | | | | | | |
% 197.83/31.55 | | | | | | | | | | | | | | | | BETA: splitting (194) gives:
% 197.83/31.55 | | | | | | | | | | | | | | | |
% 197.83/31.55 | | | | | | | | | | | | | | | | Case 1:
% 197.83/31.55 | | | | | | | | | | | | | | | | |
% 197.83/31.55 | | | | | | | | | | | | | | | | | (7918) all_54_10 = e3
% 197.83/31.55 | | | | | | | | | | | | | | | | |
% 197.83/31.55 | | | | | | | | | | | | | | | | | REF_CLOSE: (335), (7917), (7918) are inconsistent by
% 197.83/31.55 | | | | | | | | | | | | | | | | | sub-proof #1974.
% 197.83/31.55 | | | | | | | | | | | | | | | | |
% 197.83/31.55 | | | | | | | | | | | | | | | | Case 2:
% 197.83/31.55 | | | | | | | | | | | | | | | | |
% 197.83/31.55 | | | | | | | | | | | | | | | | | (7919) ~ (all_54_10 = e3)
% 197.83/31.55 | | | | | | | | | | | | | | | | | (7920) all_54_10 = e2 | all_54_10 = e1 | all_54_10 = e0
% 197.83/31.55 | | | | | | | | | | | | | | | | |
% 197.83/31.55 | | | | | | | | | | | | | | | | | BETA: splitting (7920) gives:
% 197.83/31.55 | | | | | | | | | | | | | | | | |
% 197.83/31.55 | | | | | | | | | | | | | | | | | Case 1:
% 197.83/31.55 | | | | | | | | | | | | | | | | | |
% 197.83/31.55 | | | | | | | | | | | | | | | | | | (7921) all_54_10 = e2
% 197.83/31.55 | | | | | | | | | | | | | | | | | |
% 197.83/31.55 | | | | | | | | | | | | | | | | | | REF_CLOSE: (335), (375), (7921) are inconsistent by sub-proof
% 197.83/31.55 | | | | | | | | | | | | | | | | | | #1973.
% 197.83/31.55 | | | | | | | | | | | | | | | | | |
% 197.83/31.55 | | | | | | | | | | | | | | | | | Case 2:
% 197.83/31.55 | | | | | | | | | | | | | | | | | |
% 197.83/31.55 | | | | | | | | | | | | | | | | | | (7922) ~ (all_54_10 = e2)
% 197.83/31.55 | | | | | | | | | | | | | | | | | | (7923) all_54_10 = e1 | all_54_10 = e0
% 197.83/31.55 | | | | | | | | | | | | | | | | | |
% 197.83/31.55 | | | | | | | | | | | | | | | | | | BETA: splitting (7923) gives:
% 197.83/31.55 | | | | | | | | | | | | | | | | | |
% 197.83/31.55 | | | | | | | | | | | | | | | | | | Case 1:
% 197.83/31.55 | | | | | | | | | | | | | | | | | | |
% 197.83/31.55 | | | | | | | | | | | | | | | | | | | (7924) all_54_10 = e1
% 197.83/31.55 | | | | | | | | | | | | | | | | | | |
% 197.83/31.55 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (335), (7924) imply:
% 197.83/31.55 | | | | | | | | | | | | | | | | | | | (7925) all_4_2 = e1
% 197.83/31.55 | | | | | | | | | | | | | | | | | | |
% 197.83/31.55 | | | | | | | | | | | | | | | | | | | SIMP: (7925) implies:
% 197.83/31.55 | | | | | | | | | | | | | | | | | | | (7926) all_4_2 = e1
% 197.83/31.55 | | | | | | | | | | | | | | | | | | |
% 197.83/31.55 | | | | | | | | | | | | | | | | | | | REDUCE: (349), (7926) imply:
% 197.83/31.55 | | | | | | | | | | | | | | | | | | | (7927) ~ (all_52_2 = e1)
% 197.83/31.55 | | | | | | | | | | | | | | | | | | |
% 197.83/31.55 | | | | | | | | | | | | | | | | | | | REDUCE: (360), (7926) imply:
% 197.83/31.55 | | | | | | | | | | | | | | | | | | | (7928) ~ (all_52_6 = e1)
% 197.83/31.55 | | | | | | | | | | | | | | | | | | |
% 197.83/31.55 | | | | | | | | | | | | | | | | | | | REDUCE: (362), (7926) imply:
% 197.83/31.55 | | | | | | | | | | | | | | | | | | | (7929) ~ (all_52_8 = e1)
% 197.83/31.55 | | | | | | | | | | | | | | | | | | |
% 197.83/31.55 | | | | | | | | | | | | | | | | | | | REDUCE: (363), (7926) imply:
% 197.83/31.55 | | | | | | | | | | | | | | | | | | | (7930) ~ (all_52_9 = e1)
% 197.83/31.55 | | | | | | | | | | | | | | | | | | |
% 197.83/31.55 | | | | | | | | | | | | | | | | | | | REDUCE: (367), (7926) imply:
% 197.83/31.55 | | | | | | | | | | | | | | | | | | | (7931) ~ (all_52_14 = e1)
% 197.83/31.55 | | | | | | | | | | | | | | | | | | |
% 197.83/31.55 | | | | | | | | | | | | | | | | | | | REDUCE: (7917), (7926) imply:
% 197.83/31.55 | | | | | | | | | | | | | | | | | | | (7932) ~ (e3 = e1)
% 197.83/31.55 | | | | | | | | | | | | | | | | | | |
% 197.83/31.55 | | | | | | | | | | | | | | | | | | | REDUCE: (375), (7926) imply:
% 197.83/31.55 | | | | | | | | | | | | | | | | | | | (7933) ~ (e2 = e1)
% 197.83/31.55 | | | | | | | | | | | | | | | | | | |
% 197.83/31.55 | | | | | | | | | | | | | | | | | | | REDUCE: (36), (7926) imply:
% 197.83/31.55 | | | | | | | | | | | | | | | | | | | (7934) op(e1, e1) = e1
% 197.83/31.55 | | | | | | | | | | | | | | | | | | |
% 197.83/31.55 | | | | | | | | | | | | | | | | | | | BETA: splitting (218) gives:
% 197.83/31.55 | | | | | | | | | | | | | | | | | | |
% 197.83/31.55 | | | | | | | | | | | | | | | | | | | Case 1:
% 197.83/31.55 | | | | | | | | | | | | | | | | | | | |
% 197.83/31.55 | | | | | | | | | | | | | | | | | | | | (7935) (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_5 = e1
% 197.83/31.55 | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e1)
% 197.83/31.55 | | | | | | | | | | | | | | | | | | | |
% 197.83/31.55 | | | | | | | | | | | | | | | | | | | | BETA: splitting (7935) gives:
% 197.83/31.55 | | | | | | | | | | | | | | | | | | | |
% 197.83/31.55 | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.83/31.55 | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.55 | | | | | | | | | | | | | | | | | | | | | (7936) all_56_4 = e1 & op(e3, e1) = e1
% 197.83/31.55 | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.55 | | | | | | | | | | | | | | | | | | | | | ALPHA: (7936) implies:
% 197.83/31.55 | | | | | | | | | | | | | | | | | | | | | (7937) all_56_4 = e1
% 197.83/31.55 | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.55 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (157), (158), (162),
% 197.83/31.55 | | | | | | | | | | | | | | | | | | | | | (217), (219), (220), (222), (223), (224), (225),
% 197.83/31.55 | | | | | | | | | | | | | | | | | | | | | (226), (227), (228), (7528), (7885), (7886),
% 197.83/31.55 | | | | | | | | | | | | | | | | | | | | | (7891), (7934), (7937), (function-axioms) are
% 197.83/31.55 | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1008.
% 197.83/31.55 | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.55 | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.83/31.55 | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.55 | | | | | | | | | | | | | | | | | | | | | (7938) all_56_5 = e1 & op(e2, e1) = e1
% 197.83/31.55 | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.55 | | | | | | | | | | | | | | | | | | | | | ALPHA: (7938) implies:
% 197.83/31.55 | | | | | | | | | | | | | | | | | | | | | (7939) all_56_5 = e1
% 197.83/31.55 | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.55 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (157), (158), (162),
% 197.83/31.55 | | | | | | | | | | | | | | | | | | | | | (164), (217), (219), (220), (222), (223), (224),
% 197.83/31.55 | | | | | | | | | | | | | | | | | | | | | (225), (226), (227), (228), (7528), (7530),
% 197.83/31.55 | | | | | | | | | | | | | | | | | | | | | (7885), (7886), (7891), (7934), (7939),
% 197.83/31.55 | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 197.83/31.55 | | | | | | | | | | | | | | | | | | | | | #1023.
% 197.83/31.55 | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.55 | | | | | | | | | | | | | | | | | | | | End of split
% 197.83/31.55 | | | | | | | | | | | | | | | | | | | |
% 197.83/31.55 | | | | | | | | | | | | | | | | | | | Case 2:
% 197.83/31.55 | | | | | | | | | | | | | | | | | | | |
% 197.83/31.55 | | | | | | | | | | | | | | | | | | | | (7940) (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_14 =
% 197.83/31.55 | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e1) = e1)
% 197.83/31.55 | | | | | | | | | | | | | | | | | | | |
% 197.83/31.55 | | | | | | | | | | | | | | | | | | | | BETA: splitting (7940) gives:
% 197.83/31.55 | | | | | | | | | | | | | | | | | | | |
% 197.83/31.55 | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.83/31.55 | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.55 | | | | | | | | | | | | | | | | | | | | | (7941) all_56_8 = e1 & op(e1, e1) = e1
% 197.83/31.55 | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.55 | | | | | | | | | | | | | | | | | | | | | ALPHA: (7941) implies:
% 197.83/31.55 | | | | | | | | | | | | | | | | | | | | | (7942) all_56_8 = e1
% 197.83/31.55 | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.55 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (51), (82), (97),
% 197.83/31.55 | | | | | | | | | | | | | | | | | | | | | (110), (117), (118), (121), (123), (126), (134),
% 197.83/31.55 | | | | | | | | | | | | | | | | | | | | | (136), (141), (145), (146), (157), (158), (159),
% 197.83/31.55 | | | | | | | | | | | | | | | | | | | | | (160), (162), (163), (164), (165), (167), (168),
% 197.83/31.55 | | | | | | | | | | | | | | | | | | | | | (169), (170), (191), (192), (195), (197), (198),
% 197.83/31.55 | | | | | | | | | | | | | | | | | | | | | (201), (202), (203), (204), (206), (207), (208),
% 197.83/31.55 | | | | | | | | | | | | | | | | | | | | | (210), (211), (213), (214), (215), (216), (217),
% 197.83/31.55 | | | | | | | | | | | | | | | | | | | | | (219), (220), (222), (223), (224), (225), (226),
% 197.83/31.55 | | | | | | | | | | | | | | | | | | | | | (227), (228), (230), (231), (232), (234), (235),
% 197.83/31.55 | | | | | | | | | | | | | | | | | | | | | (236), (238), (249), (258), (260), (261), (271),
% 197.83/31.55 | | | | | | | | | | | | | | | | | | | | | (272), (279), (281), (313), (339), (341), (343),
% 197.83/31.55 | | | | | | | | | | | | | | | | | | | | | (345), (7523), (7524), (7526), (7528), (7529),
% 197.83/31.55 | | | | | | | | | | | | | | | | | | | | | (7530), (7531), (7532), (7541), (7546), (7550),
% 197.83/31.55 | | | | | | | | | | | | | | | | | | | | | (7551), (7552), (7553), (7555), (7557), (7560),
% 197.83/31.55 | | | | | | | | | | | | | | | | | | | | | (7561), (7885), (7886), (7888), (7891), (7896),
% 197.83/31.55 | | | | | | | | | | | | | | | | | | | | | (7905), (7906), (7909), (7911), (7912), (7915),
% 197.83/31.55 | | | | | | | | | | | | | | | | | | | | | (7927), (7928), (7929), (7930), (7931), (7934),
% 197.83/31.55 | | | | | | | | | | | | | | | | | | | | | (7942), (function-axioms) are inconsistent by
% 197.83/31.55 | | | | | | | | | | | | | | | | | | | | | sub-proof #836.
% 197.83/31.55 | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.55 | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.83/31.55 | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.55 | | | | | | | | | | | | | | | | | | | | | (7943) all_56_14 = e1 & op(e0, e1) = e1
% 197.83/31.55 | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.55 | | | | | | | | | | | | | | | | | | | | | ALPHA: (7943) implies:
% 197.83/31.55 | | | | | | | | | | | | | | | | | | | | | (7944) all_56_14 = e1
% 197.83/31.55 | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.55 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (214) gives:
% 197.83/31.55 | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.55 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.83/31.55 | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.55 | | | | | | | | | | | | | | | | | | | | | | (7945) (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_7 = e1
% 197.83/31.55 | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e1)
% 197.83/31.55 | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.55 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7945) gives:
% 197.83/31.55 | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.55 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.83/31.55 | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.55 | | | | | | | | | | | | | | | | | | | | | | | (7946) all_56_6 = e1 & op(e1, e3) = e1
% 197.83/31.55 | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.55 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7946) implies:
% 197.83/31.55 | | | | | | | | | | | | | | | | | | | | | | | (7947) op(e1, e3) = e1
% 197.83/31.55 | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.55 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (163), (7927), (7947), (function-axioms) are
% 197.83/31.55 | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1939.
% 197.83/31.55 | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.55 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.83/31.55 | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.55 | | | | | | | | | | | | | | | | | | | | | | | (7948) all_56_7 = e1 & op(e1, e2) = e1
% 197.83/31.55 | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.55 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7948) implies:
% 197.83/31.55 | | | | | | | | | | | | | | | | | | | | | | | (7949) op(e1, e2) = e1
% 197.83/31.55 | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.55 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (228) gives:
% 197.83/31.55 | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.55 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.83/31.55 | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.55 | | | | | | | | | | | | | | | | | | | | | | | | (7950) (all_56_1 = e3 & op(e3, e2) = e3) | (all_56_3 = e3
% 197.83/31.55 | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e3)
% 197.83/31.55 | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.55 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7950) gives:
% 197.83/31.55 | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.55 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.83/31.55 | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.55 | | | | | | | | | | | | | | | | | | | | | | | | | (7951) all_56_1 = e3 & op(e3, e2) = e3
% 197.83/31.55 | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.55 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7951) implies:
% 197.83/31.55 | | | | | | | | | | | | | | | | | | | | | | | | | (7952) all_56_1 = e3
% 197.83/31.55 | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.55 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (216) gives:
% 197.83/31.55 | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.55 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.83/31.55 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.55 | | | | | | | | | | | | | | | | | | | | | | | | | | (7953) (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_7 = e3
% 197.83/31.55 | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e3)
% 197.83/31.55 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.55 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7953) gives:
% 197.83/31.55 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.55 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.83/31.55 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | (7954) all_56_6 = e3 & op(e1, e3) = e3
% 197.83/31.55 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7954) implies:
% 197.83/31.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | (7955) all_56_6 = e3
% 197.83/31.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | (7956) op(e1, e3) = e3
% 197.83/31.55 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (217) gives:
% 197.83/31.55 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.83/31.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7957) (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_5 = e0
% 197.83/31.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e0)
% 197.83/31.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7957) gives:
% 197.83/31.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.83/31.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7958) all_56_4 = e0 & op(e3, e1) = e0
% 197.83/31.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7958) implies:
% 197.83/31.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7959) all_56_4 = e0
% 197.83/31.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (220) gives:
% 197.83/31.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.83/31.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7960) (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3
% 197.83/31.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e3)
% 197.83/31.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7960) gives:
% 197.83/31.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.83/31.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7961) all_56_4 = e3 & op(e3, e1) = e3
% 197.83/31.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7961) implies:
% 197.83/31.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7962) all_56_4 = e3
% 197.83/31.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (7959), (7962) imply:
% 197.83/31.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7963) e3 = e0
% 197.83/31.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (7963) implies:
% 197.83/31.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7964) e3 = e0
% 197.83/31.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (7952), (7964) imply:
% 197.83/31.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7965) all_56_1 = e0
% 197.83/31.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (226), (227), (228),
% 197.83/31.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7891), (7965), (function-axioms) are inconsistent
% 197.83/31.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1496.
% 197.83/31.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.83/31.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7966) all_56_5 = e3 & op(e2, e1) = e3
% 197.83/31.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7966) implies:
% 197.83/31.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7967) all_56_5 = e3
% 197.83/31.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (9), (219), (7934), (7944), (7959),
% 197.83/31.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7967), (function-axioms) are inconsistent by
% 197.83/31.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1032.
% 197.83/31.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.83/31.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.83/31.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7968) (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 =
% 197.83/31.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e1) = e3)
% 197.83/31.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7968) gives:
% 197.83/31.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.83/31.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7969) all_56_8 = e3 & op(e1, e1) = e3
% 197.83/31.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7969) implies:
% 197.83/31.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7970) all_56_8 = e3
% 197.83/31.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7971) op(e1, e1) = e3
% 197.83/31.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (162), (213), (214),
% 197.83/31.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (215), (226), (227), (228), (7885), (7891),
% 197.83/31.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7952), (7955), (7956), (7970), (7971),
% 197.83/31.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 197.83/31.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1312.
% 197.83/31.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.83/31.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7972) all_56_14 = e3 & op(e0, e1) = e3
% 197.83/31.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (157), (7528), (7972), (function-axioms) are
% 197.83/31.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1839.
% 197.83/31.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.83/31.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.83/31.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.83/31.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7973) all_56_5 = e0 & op(e2, e1) = e0
% 197.83/31.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7973) implies:
% 197.83/31.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7974) all_56_5 = e0
% 197.83/31.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (158), (162), (222),
% 197.83/31.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (223), (224), (225), (226), (227), (228), (7885),
% 197.83/31.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7886), (7891), (7974), (function-axioms) are
% 197.83/31.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1465.
% 197.83/31.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.83/31.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.83/31.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7975) (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_14 =
% 197.83/31.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0)
% 197.83/31.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7975) gives:
% 197.83/31.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.83/31.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7976) all_56_8 = e0 & op(e1, e1) = e0
% 197.83/31.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7976) implies:
% 197.83/31.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7977) op(e1, e1) = e0
% 197.83/31.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (7934), (7977), (function-axioms) are
% 197.83/31.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1956.
% 197.83/31.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.83/31.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7978) all_56_14 = e0 & op(e0, e1) = e0
% 197.83/31.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (7944), (7978) are inconsistent by sub-proof
% 197.83/31.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1866.
% 197.83/31.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.83/31.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.83/31.56 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.56 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.83/31.56 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | (7979) all_56_7 = e3 & op(e1, e2) = e3
% 197.83/31.56 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7979) implies:
% 197.83/31.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | (7980) op(e1, e2) = e3
% 197.83/31.56 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (162), (7949), (7980), (function-axioms) are
% 197.83/31.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1733.
% 197.83/31.56 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.56 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.83/31.56 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.56 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.83/31.56 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.56 | | | | | | | | | | | | | | | | | | | | | | | | | | (7981) (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_11 =
% 197.83/31.56 | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e1, e0) = e3)
% 197.83/31.56 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.56 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (160), (7531), (7934), (7981),
% 197.83/31.56 | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 197.83/31.56 | | | | | | | | | | | | | | | | | | | | | | | | | | #1081.
% 197.83/31.56 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.56 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.83/31.56 | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.56 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.83/31.56 | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.56 | | | | | | | | | | | | | | | | | | | | | | | | | (7982) all_56_3 = e3 & op(e2, e2) = e3
% 197.83/31.56 | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.56 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7982) implies:
% 197.83/31.56 | | | | | | | | | | | | | | | | | | | | | | | | | (7983) op(e2, e2) = e3
% 197.83/31.56 | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.56 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (7891), (7983), (function-axioms) are
% 197.83/31.56 | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1661.
% 197.83/31.56 | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.56 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.83/31.56 | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.56 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.83/31.56 | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.56 | | | | | | | | | | | | | | | | | | | | | | | | (7984) (all_56_7 = e3 & op(e1, e2) = e3) | (all_56_13 =
% 197.83/31.56 | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e2) = e3)
% 197.83/31.56 | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.56 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7984) gives:
% 197.83/31.56 | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.56 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.83/31.56 | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.56 | | | | | | | | | | | | | | | | | | | | | | | | | (7985) all_56_7 = e3 & op(e1, e2) = e3
% 197.83/31.56 | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.56 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7985) implies:
% 197.83/31.56 | | | | | | | | | | | | | | | | | | | | | | | | | (7986) op(e1, e2) = e3
% 197.83/31.56 | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.56 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (162), (7949), (7986), (function-axioms) are
% 197.83/31.56 | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1733.
% 197.83/31.56 | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.56 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.83/31.56 | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.56 | | | | | | | | | | | | | | | | | | | | | | | | | (7987) all_56_13 = e3 & op(e0, e2) = e3
% 197.83/31.56 | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.56 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7987) implies:
% 197.83/31.56 | | | | | | | | | | | | | | | | | | | | | | | | | (7988) all_56_13 = e3
% 197.83/31.56 | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.56 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (206), (207), (208),
% 197.83/31.56 | | | | | | | | | | | | | | | | | | | | | | | | | (7532), (7988), (function-axioms) are inconsistent
% 197.83/31.56 | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1646.
% 197.83/31.56 | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.56 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.83/31.56 | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.56 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.83/31.56 | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.56 | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.83/31.56 | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.56 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.83/31.56 | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.56 | | | | | | | | | | | | | | | | | | | | | | (7989) (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_11 =
% 197.83/31.56 | | | | | | | | | | | | | | | | | | | | | | e1 & op(e1, e0) = e1)
% 197.83/31.56 | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.56 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7989) gives:
% 197.83/31.56 | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.56 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.83/31.56 | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.56 | | | | | | | | | | | | | | | | | | | | | | | (7990) all_56_8 = e1 & op(e1, e1) = e1
% 197.83/31.56 | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.56 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7990) implies:
% 197.83/31.56 | | | | | | | | | | | | | | | | | | | | | | | (7991) all_56_8 = e1
% 197.83/31.56 | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.56 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (51), (82), (97),
% 197.83/31.56 | | | | | | | | | | | | | | | | | | | | | | | (110), (117), (118), (121), (123), (126), (134),
% 197.83/31.56 | | | | | | | | | | | | | | | | | | | | | | | (136), (141), (145), (146), (157), (158), (159),
% 197.83/31.56 | | | | | | | | | | | | | | | | | | | | | | | (160), (162), (163), (164), (165), (167), (168),
% 197.83/31.56 | | | | | | | | | | | | | | | | | | | | | | | (169), (170), (191), (192), (195), (197), (198),
% 197.83/31.56 | | | | | | | | | | | | | | | | | | | | | | | (201), (202), (203), (204), (206), (207), (208),
% 197.83/31.56 | | | | | | | | | | | | | | | | | | | | | | | (210), (211), (213), (214), (215), (216), (217),
% 197.83/31.56 | | | | | | | | | | | | | | | | | | | | | | | (219), (220), (222), (223), (224), (225), (226),
% 197.83/31.56 | | | | | | | | | | | | | | | | | | | | | | | (227), (228), (230), (231), (232), (234), (235),
% 197.83/31.56 | | | | | | | | | | | | | | | | | | | | | | | (236), (238), (249), (258), (260), (261), (271),
% 197.83/31.56 | | | | | | | | | | | | | | | | | | | | | | | (272), (279), (281), (313), (339), (341), (343),
% 197.83/31.56 | | | | | | | | | | | | | | | | | | | | | | | (345), (7523), (7524), (7526), (7528), (7529),
% 197.83/31.56 | | | | | | | | | | | | | | | | | | | | | | | (7530), (7531), (7532), (7541), (7546), (7550),
% 197.83/31.56 | | | | | | | | | | | | | | | | | | | | | | | (7551), (7552), (7553), (7555), (7557), (7560),
% 197.83/31.56 | | | | | | | | | | | | | | | | | | | | | | | (7561), (7885), (7886), (7888), (7891), (7896),
% 197.83/31.56 | | | | | | | | | | | | | | | | | | | | | | | (7905), (7906), (7909), (7911), (7912), (7915),
% 197.83/31.56 | | | | | | | | | | | | | | | | | | | | | | | (7927), (7928), (7929), (7930), (7931), (7934),
% 197.83/31.56 | | | | | | | | | | | | | | | | | | | | | | | (7991), (function-axioms) are inconsistent by
% 197.83/31.56 | | | | | | | | | | | | | | | | | | | | | | | sub-proof #836.
% 197.83/31.56 | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.56 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.83/31.56 | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.56 | | | | | | | | | | | | | | | | | | | | | | | (7992) all_56_11 = e1 & op(e1, e0) = e1
% 197.83/31.56 | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.56 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7992) implies:
% 197.83/31.56 | | | | | | | | | | | | | | | | | | | | | | | (7993) op(e1, e0) = e1
% 197.83/31.56 | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.56 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (160), (7931), (7993), (function-axioms) are
% 197.83/31.56 | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1938.
% 197.83/31.56 | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.56 | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.83/31.56 | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.56 | | | | | | | | | | | | | | | | | | | | | End of split
% 197.83/31.56 | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.56 | | | | | | | | | | | | | | | | | | | | End of split
% 197.83/31.56 | | | | | | | | | | | | | | | | | | | |
% 197.83/31.56 | | | | | | | | | | | | | | | | | | | End of split
% 197.83/31.56 | | | | | | | | | | | | | | | | | | |
% 197.83/31.56 | | | | | | | | | | | | | | | | | | Case 2:
% 197.83/31.56 | | | | | | | | | | | | | | | | | | |
% 197.83/31.56 | | | | | | | | | | | | | | | | | | | (7994) all_54_10 = e0
% 197.83/31.56 | | | | | | | | | | | | | | | | | | |
% 197.83/31.56 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (335), (372), (7994) are inconsistent by sub-proof
% 197.83/31.56 | | | | | | | | | | | | | | | | | | | #1950.
% 197.83/31.56 | | | | | | | | | | | | | | | | | | |
% 197.83/31.56 | | | | | | | | | | | | | | | | | | End of split
% 197.83/31.56 | | | | | | | | | | | | | | | | | |
% 197.83/31.56 | | | | | | | | | | | | | | | | | End of split
% 197.83/31.56 | | | | | | | | | | | | | | | | |
% 197.83/31.56 | | | | | | | | | | | | | | | | End of split
% 197.83/31.56 | | | | | | | | | | | | | | | |
% 197.83/31.56 | | | | | | | | | | | | | | | Case 2:
% 197.83/31.56 | | | | | | | | | | | | | | | |
% 197.83/31.56 | | | | | | | | | | | | | | | | (7995) all_32_2 = e3
% 197.83/31.56 | | | | | | | | | | | | | | | |
% 197.83/31.56 | | | | | | | | | | | | | | | | COMBINE_EQS: (301), (7995) imply:
% 197.83/31.56 | | | | | | | | | | | | | | | | (7996) all_4_2 = e3
% 197.83/31.56 | | | | | | | | | | | | | | | |
% 197.83/31.56 | | | | | | | | | | | | | | | | REDUCE: (360), (7996) imply:
% 197.83/31.56 | | | | | | | | | | | | | | | | (7997) ~ (all_52_6 = e3)
% 197.83/31.56 | | | | | | | | | | | | | | | |
% 197.83/31.56 | | | | | | | | | | | | | | | | REDUCE: (363), (7996) imply:
% 197.83/31.56 | | | | | | | | | | | | | | | | (7998) ~ (all_52_9 = e3)
% 197.83/31.56 | | | | | | | | | | | | | | | |
% 197.83/31.56 | | | | | | | | | | | | | | | | REDUCE: (36), (7996) imply:
% 197.83/31.56 | | | | | | | | | | | | | | | | (7999) op(e1, e1) = e3
% 197.83/31.56 | | | | | | | | | | | | | | | |
% 197.83/31.56 | | | | | | | | | | | | | | | | BETA: splitting (228) gives:
% 197.83/31.56 | | | | | | | | | | | | | | | |
% 197.83/31.56 | | | | | | | | | | | | | | | | Case 1:
% 197.83/31.56 | | | | | | | | | | | | | | | | |
% 197.83/31.56 | | | | | | | | | | | | | | | | | (8000) (all_56_1 = e3 & op(e3, e2) = e3) | (all_56_3 = e3
% 197.83/31.56 | | | | | | | | | | | | | | | | | & op(e2, e2) = e3)
% 197.83/31.56 | | | | | | | | | | | | | | | | |
% 197.83/31.56 | | | | | | | | | | | | | | | | | BETA: splitting (8000) gives:
% 197.83/31.56 | | | | | | | | | | | | | | | | |
% 197.83/31.56 | | | | | | | | | | | | | | | | | Case 1:
% 197.83/31.56 | | | | | | | | | | | | | | | | | |
% 197.83/31.56 | | | | | | | | | | | | | | | | | | (8001) all_56_1 = e3 & op(e3, e2) = e3
% 197.83/31.56 | | | | | | | | | | | | | | | | | |
% 197.83/31.56 | | | | | | | | | | | | | | | | | | ALPHA: (8001) implies:
% 197.83/31.56 | | | | | | | | | | | | | | | | | | (8002) all_56_1 = e3
% 197.83/31.56 | | | | | | | | | | | | | | | | | | (8003) op(e3, e2) = e3
% 197.83/31.56 | | | | | | | | | | | | | | | | | |
% 197.83/31.56 | | | | | | | | | | | | | | | | | | BETA: splitting (216) gives:
% 197.83/31.56 | | | | | | | | | | | | | | | | | |
% 197.83/31.56 | | | | | | | | | | | | | | | | | | Case 1:
% 197.83/31.56 | | | | | | | | | | | | | | | | | | |
% 197.83/31.56 | | | | | | | | | | | | | | | | | | | (8004) (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_7 = e3
% 197.83/31.56 | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e3)
% 197.83/31.56 | | | | | | | | | | | | | | | | | | |
% 197.83/31.56 | | | | | | | | | | | | | | | | | | | BETA: splitting (8004) gives:
% 197.83/31.56 | | | | | | | | | | | | | | | | | | |
% 197.83/31.56 | | | | | | | | | | | | | | | | | | | Case 1:
% 197.83/31.56 | | | | | | | | | | | | | | | | | | | |
% 197.83/31.56 | | | | | | | | | | | | | | | | | | | | (8005) all_56_6 = e3 & op(e1, e3) = e3
% 197.83/31.56 | | | | | | | | | | | | | | | | | | | |
% 197.83/31.56 | | | | | | | | | | | | | | | | | | | | ALPHA: (8005) implies:
% 197.83/31.56 | | | | | | | | | | | | | | | | | | | | (8006) all_56_6 = e3
% 197.83/31.56 | | | | | | | | | | | | | | | | | | | | (8007) op(e1, e3) = e3
% 197.83/31.56 | | | | | | | | | | | | | | | | | | | |
% 197.83/31.56 | | | | | | | | | | | | | | | | | | | | BETA: splitting (213) gives:
% 197.83/31.56 | | | | | | | | | | | | | | | | | | | |
% 197.83/31.56 | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.83/31.56 | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.56 | | | | | | | | | | | | | | | | | | | | | (8008) (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_7 = e0
% 197.83/31.56 | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e0)
% 197.83/31.56 | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.56 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (162), (226), (227),
% 197.83/31.56 | | | | | | | | | | | | | | | | | | | | | (228), (7885), (7891), (8002), (8006), (8008),
% 197.83/31.56 | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 197.83/31.56 | | | | | | | | | | | | | | | | | | | | | #1315.
% 197.83/31.56 | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.56 | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.83/31.56 | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.56 | | | | | | | | | | | | | | | | | | | | | (8009) (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_11 =
% 197.83/31.56 | | | | | | | | | | | | | | | | | | | | | e0 & op(e1, e0) = e0)
% 197.83/31.56 | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.56 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8009) gives:
% 197.83/31.56 | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.56 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.83/31.56 | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.56 | | | | | | | | | | | | | | | | | | | | | | (8010) all_56_8 = e0 & op(e1, e1) = e0
% 197.83/31.56 | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.56 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8010) implies:
% 197.83/31.56 | | | | | | | | | | | | | | | | | | | | | | (8011) op(e1, e1) = e0
% 197.83/31.56 | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.56 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e0, e3, e1,
% 197.83/31.56 | | | | | | | | | | | | | | | | | | | | | | e1, simplifying with (7999), (8011) gives:
% 197.83/31.56 | | | | | | | | | | | | | | | | | | | | | | (8012) e3 = e0
% 197.83/31.56 | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.56 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (8002), (8012) imply:
% 197.83/31.56 | | | | | | | | | | | | | | | | | | | | | | (8013) all_56_1 = e0
% 197.83/31.56 | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.56 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (226), (227), (228),
% 197.83/31.56 | | | | | | | | | | | | | | | | | | | | | | (7891), (8013), (function-axioms) are inconsistent
% 197.83/31.56 | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1496.
% 197.83/31.56 | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.56 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.83/31.56 | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.56 | | | | | | | | | | | | | | | | | | | | | | (8014) all_56_11 = e0 & op(e1, e0) = e0
% 197.83/31.56 | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.56 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8014) implies:
% 197.83/31.56 | | | | | | | | | | | | | | | | | | | | | | (8015) all_56_11 = e0
% 197.83/31.56 | | | | | | | | | | | | | | | | | | | | | | (8016) op(e1, e0) = e0
% 197.83/31.56 | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.56 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (8), (9), (214), (215), (7999),
% 197.83/31.56 | | | | | | | | | | | | | | | | | | | | | | (8006), (8007), (8015), (8016), (function-axioms)
% 197.83/31.56 | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1574.
% 197.83/31.56 | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.56 | | | | | | | | | | | | | | | | | | | | | End of split
% 197.83/31.56 | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.56 | | | | | | | | | | | | | | | | | | | | End of split
% 197.83/31.56 | | | | | | | | | | | | | | | | | | | |
% 197.83/31.56 | | | | | | | | | | | | | | | | | | | Case 2:
% 197.83/31.56 | | | | | | | | | | | | | | | | | | | |
% 197.83/31.56 | | | | | | | | | | | | | | | | | | | | (8017) all_56_7 = e3 & op(e1, e2) = e3
% 197.83/31.56 | | | | | | | | | | | | | | | | | | | |
% 197.83/31.56 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (162), (7997), (8017), (function-axioms) are
% 197.83/31.56 | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1827.
% 197.83/31.56 | | | | | | | | | | | | | | | | | | | |
% 197.83/31.56 | | | | | | | | | | | | | | | | | | | End of split
% 197.83/31.56 | | | | | | | | | | | | | | | | | | |
% 197.83/31.56 | | | | | | | | | | | | | | | | | | Case 2:
% 197.83/31.56 | | | | | | | | | | | | | | | | | | |
% 197.83/31.56 | | | | | | | | | | | | | | | | | | | (8018) (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_11 =
% 197.83/31.56 | | | | | | | | | | | | | | | | | | | e3 & op(e1, e0) = e3)
% 197.83/31.56 | | | | | | | | | | | | | | | | | | |
% 197.83/31.56 | | | | | | | | | | | | | | | | | | | BETA: splitting (8018) gives:
% 197.83/31.56 | | | | | | | | | | | | | | | | | | |
% 197.83/31.56 | | | | | | | | | | | | | | | | | | | Case 1:
% 197.83/31.56 | | | | | | | | | | | | | | | | | | | |
% 197.83/31.56 | | | | | | | | | | | | | | | | | | | | (8019) all_56_8 = e3 & op(e1, e1) = e3
% 197.83/31.56 | | | | | | | | | | | | | | | | | | | |
% 197.83/31.56 | | | | | | | | | | | | | | | | | | | | ALPHA: (8019) implies:
% 197.83/31.56 | | | | | | | | | | | | | | | | | | | | (8020) all_56_8 = e3
% 197.83/31.56 | | | | | | | | | | | | | | | | | | | |
% 197.83/31.56 | | | | | | | | | | | | | | | | | | | | BETA: splitting (224) gives:
% 197.83/31.56 | | | | | | | | | | | | | | | | | | | |
% 197.83/31.56 | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.83/31.56 | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.56 | | | | | | | | | | | | | | | | | | | | | (8021) (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3
% 197.83/31.56 | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e3)
% 197.83/31.56 | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.56 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8021) gives:
% 197.83/31.56 | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.56 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.83/31.56 | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.56 | | | | | | | | | | | | | | | | | | | | | | (8022) all_56_2 = e3 & op(e2, e3) = e3
% 197.83/31.56 | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.56 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8022) implies:
% 197.83/31.56 | | | | | | | | | | | | | | | | | | | | | | (8023) op(e2, e3) = e3
% 197.83/31.56 | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.56 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_1, e3,
% 197.83/31.56 | | | | | | | | | | | | | | | | | | | | | | e3, e2, simplifying with (167), (8023) gives:
% 197.83/31.56 | | | | | | | | | | | | | | | | | | | | | | (8024) all_52_1 = e3
% 197.83/31.56 | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.56 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_4, e3,
% 197.83/31.56 | | | | | | | | | | | | | | | | | | | | | | e2, e3, simplifying with (170), (8003) gives:
% 197.83/31.56 | | | | | | | | | | | | | | | | | | | | | | (8025) all_52_4 = e3
% 197.83/31.56 | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.56 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (145), (8024) imply:
% 197.83/31.56 | | | | | | | | | | | | | | | | | | | | | | (8026) ~ (all_52_13 = e3)
% 197.83/31.56 | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.56 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (343), (8025) imply:
% 197.83/31.56 | | | | | | | | | | | | | | | | | | | | | | (8027) ~ (all_14_2 = e3)
% 197.83/31.56 | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.56 | | | | | | | | | | | | | | | | | | | | | | SIMP: (8027) implies:
% 197.83/31.56 | | | | | | | | | | | | | | | | | | | | | | (8028) ~ (all_14_2 = e3)
% 197.83/31.56 | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.56 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7552), (8025) imply:
% 197.83/31.56 | | | | | | | | | | | | | | | | | | | | | | (8029) ~ (all_10_1 = e3)
% 197.83/31.56 | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.56 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (204) gives:
% 197.83/31.56 | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.56 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.83/31.56 | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.56 | | | | | | | | | | | | | | | | | | | | | | | (8030) all_54_0 = e3
% 197.83/31.56 | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.56 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (279), (8030) imply:
% 197.83/31.56 | | | | | | | | | | | | | | | | | | | | | | | (8031) all_14_2 = e3
% 197.83/31.56 | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.56 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8028), (8031) imply:
% 197.83/31.56 | | | | | | | | | | | | | | | | | | | | | | | (8032) $false
% 197.83/31.56 | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.56 | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (8032) is inconsistent.
% 197.83/31.56 | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.56 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.83/31.56 | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.56 | | | | | | | | | | | | | | | | | | | | | | | (8033) ~ (all_54_0 = e3)
% 197.83/31.56 | | | | | | | | | | | | | | | | | | | | | | | (8034) all_54_0 = e2 | all_54_0 = e1 | all_54_0 = e0
% 197.83/31.56 | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.56 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8034) gives:
% 197.83/31.56 | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.56 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.83/31.56 | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.56 | | | | | | | | | | | | | | | | | | | | | | | | (8035) all_54_0 = e2
% 197.83/31.56 | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.56 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (279), (8035) imply:
% 197.83/31.56 | | | | | | | | | | | | | | | | | | | | | | | | (8036) all_14_2 = e2
% 197.83/31.56 | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.56 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7561), (8036) imply:
% 197.83/31.56 | | | | | | | | | | | | | | | | | | | | | | | | (8037) $false
% 197.83/31.56 | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.56 | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (8037) is inconsistent.
% 197.83/31.56 | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.56 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.83/31.56 | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.56 | | | | | | | | | | | | | | | | | | | | | | | | (8038) ~ (all_54_0 = e2)
% 197.83/31.56 | | | | | | | | | | | | | | | | | | | | | | | | (8039) all_54_0 = e1 | all_54_0 = e0
% 197.83/31.56 | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.56 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8039) gives:
% 197.83/31.56 | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.56 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.83/31.56 | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.56 | | | | | | | | | | | | | | | | | | | | | | | | | (8040) all_54_0 = e1
% 197.83/31.56 | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.56 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (279), (8040) imply:
% 197.83/31.56 | | | | | | | | | | | | | | | | | | | | | | | | | (8041) all_14_2 = e1
% 197.83/31.56 | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.56 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7915), (8041) imply:
% 197.83/31.56 | | | | | | | | | | | | | | | | | | | | | | | | | (8042) $false
% 197.83/31.56 | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.56 | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (8042) is inconsistent.
% 197.83/31.56 | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.56 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.83/31.56 | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.56 | | | | | | | | | | | | | | | | | | | | | | | | | (8043) all_54_0 = e0
% 197.83/31.56 | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.56 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (279), (8043) imply:
% 197.83/31.56 | | | | | | | | | | | | | | | | | | | | | | | | | (8044) all_14_2 = e0
% 197.83/31.56 | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.56 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (339), (8044) imply:
% 197.83/31.56 | | | | | | | | | | | | | | | | | | | | | | | | | (8045) ~ (all_52_2 = e0)
% 197.83/31.56 | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.56 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (341), (8044) imply:
% 197.83/31.56 | | | | | | | | | | | | | | | | | | | | | | | | | (8046) ~ (all_52_3 = e0)
% 197.83/31.56 | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.56 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7561), (8044) imply:
% 197.83/31.56 | | | | | | | | | | | | | | | | | | | | | | | | | (8047) ~ (e2 = e0)
% 197.83/31.56 | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.56 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (110), (158), (159),
% 197.83/31.56 | | | | | | | | | | | | | | | | | | | | | | | | | (160), (162), (163), (164), (168), (197), (201),
% 197.83/31.56 | | | | | | | | | | | | | | | | | | | | | | | | | (213), (226), (227), (228), (238), (260), (7523),
% 197.83/31.56 | | | | | | | | | | | | | | | | | | | | | | | | | (7524), (7529), (7530), (7546), (7550), (7551),
% 197.83/31.56 | | | | | | | | | | | | | | | | | | | | | | | | | (7555), (7557), (7560), (7885), (7886), (7891),
% 197.83/31.56 | | | | | | | | | | | | | | | | | | | | | | | | | (7999), (8002), (8020), (8023), (8045), (8046),
% 197.83/31.56 | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 197.83/31.56 | | | | | | | | | | | | | | | | | | | | | | | | | #847.
% 197.83/31.56 | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.56 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.83/31.56 | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.56 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.83/31.56 | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.56 | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.83/31.56 | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.56 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.83/31.56 | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.56 | | | | | | | | | | | | | | | | | | | | | | (8048) all_56_3 = e3 & op(e2, e2) = e3
% 197.83/31.56 | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.56 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8048) implies:
% 197.83/31.56 | | | | | | | | | | | | | | | | | | | | | | (8049) op(e2, e2) = e3
% 197.83/31.56 | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.56 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (7891), (8049), (function-axioms) are
% 197.83/31.56 | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1661.
% 197.83/31.56 | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.56 | | | | | | | | | | | | | | | | | | | | | End of split
% 197.83/31.56 | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.56 | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.83/31.56 | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.56 | | | | | | | | | | | | | | | | | | | | | (8050) (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 =
% 197.83/31.56 | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e0) = e3)
% 197.83/31.56 | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.56 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8050) gives:
% 197.83/31.56 | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.56 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.83/31.56 | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.56 | | | | | | | | | | | | | | | | | | | | | | (8051) all_56_5 = e3 & op(e2, e1) = e3
% 197.83/31.56 | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.56 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8051) implies:
% 197.83/31.56 | | | | | | | | | | | | | | | | | | | | | | (8052) op(e2, e1) = e3
% 197.83/31.56 | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.56 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_9, e3,
% 197.83/31.56 | | | | | | | | | | | | | | | | | | | | | | e1, e2, simplifying with (165), (8052) gives:
% 197.83/31.56 | | | | | | | | | | | | | | | | | | | | | | (8053) all_52_9 = e3
% 197.83/31.56 | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.56 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7998), (8053) imply:
% 197.83/31.56 | | | | | | | | | | | | | | | | | | | | | | (8054) $false
% 197.83/31.56 | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.56 | | | | | | | | | | | | | | | | | | | | | | CLOSE: (8054) is inconsistent.
% 197.83/31.56 | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.56 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.83/31.56 | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.56 | | | | | | | | | | | | | | | | | | | | | | (8055) all_56_10 = e3 & op(e2, e0) = e3
% 197.83/31.56 | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.56 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8055) implies:
% 197.83/31.56 | | | | | | | | | | | | | | | | | | | | | | (8056) op(e2, e0) = e3
% 197.83/31.56 | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.56 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_13,
% 197.83/31.56 | | | | | | | | | | | | | | | | | | | | | | e3, e0, e2, simplifying with (164), (8056) gives:
% 197.83/31.56 | | | | | | | | | | | | | | | | | | | | | | (8057) all_52_13 = e3
% 197.83/31.56 | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.56 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7530), (8057) imply:
% 197.83/31.56 | | | | | | | | | | | | | | | | | | | | | | (8058) $false
% 197.83/31.56 | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.56 | | | | | | | | | | | | | | | | | | | | | | CLOSE: (8058) is inconsistent.
% 197.83/31.56 | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.56 | | | | | | | | | | | | | | | | | | | | | End of split
% 197.83/31.56 | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.56 | | | | | | | | | | | | | | | | | | | | End of split
% 197.83/31.56 | | | | | | | | | | | | | | | | | | | |
% 197.83/31.56 | | | | | | | | | | | | | | | | | | | Case 2:
% 197.83/31.56 | | | | | | | | | | | | | | | | | | | |
% 197.83/31.56 | | | | | | | | | | | | | | | | | | | | (8059) all_56_11 = e3 & op(e1, e0) = e3
% 197.83/31.56 | | | | | | | | | | | | | | | | | | | |
% 197.83/31.56 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (160), (7531), (8059), (function-axioms) are
% 197.83/31.56 | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1762.
% 197.83/31.56 | | | | | | | | | | | | | | | | | | | |
% 197.83/31.56 | | | | | | | | | | | | | | | | | | | End of split
% 197.83/31.56 | | | | | | | | | | | | | | | | | | |
% 197.83/31.56 | | | | | | | | | | | | | | | | | | End of split
% 197.83/31.56 | | | | | | | | | | | | | | | | | |
% 197.83/31.56 | | | | | | | | | | | | | | | | | Case 2:
% 197.83/31.56 | | | | | | | | | | | | | | | | | |
% 197.83/31.56 | | | | | | | | | | | | | | | | | | (8060) all_56_3 = e3 & op(e2, e2) = e3
% 197.83/31.56 | | | | | | | | | | | | | | | | | |
% 197.83/31.56 | | | | | | | | | | | | | | | | | | ALPHA: (8060) implies:
% 197.83/31.56 | | | | | | | | | | | | | | | | | | (8061) op(e2, e2) = e3
% 197.83/31.56 | | | | | | | | | | | | | | | | | |
% 197.83/31.56 | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (7891), (8061), (function-axioms) are
% 197.83/31.56 | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1661.
% 197.83/31.56 | | | | | | | | | | | | | | | | | |
% 197.83/31.56 | | | | | | | | | | | | | | | | | End of split
% 197.83/31.56 | | | | | | | | | | | | | | | | |
% 197.83/31.56 | | | | | | | | | | | | | | | | Case 2:
% 197.83/31.56 | | | | | | | | | | | | | | | | |
% 197.83/31.56 | | | | | | | | | | | | | | | | | (8062) (all_56_7 = e3 & op(e1, e2) = e3) | (all_56_13 =
% 197.83/31.56 | | | | | | | | | | | | | | | | | e3 & op(e0, e2) = e3)
% 197.83/31.56 | | | | | | | | | | | | | | | | |
% 197.83/31.56 | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (162), (206), (207),
% 197.83/31.56 | | | | | | | | | | | | | | | | | (208), (7532), (7997), (8062), (function-axioms)
% 197.83/31.56 | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #869.
% 197.83/31.56 | | | | | | | | | | | | | | | | |
% 197.83/31.56 | | | | | | | | | | | | | | | | End of split
% 197.83/31.56 | | | | | | | | | | | | | | | |
% 197.83/31.56 | | | | | | | | | | | | | | | End of split
% 197.83/31.56 | | | | | | | | | | | | | | |
% 197.83/31.56 | | | | | | | | | | | | | | Case 2:
% 197.83/31.56 | | | | | | | | | | | | | | |
% 197.83/31.56 | | | | | | | | | | | | | | | (8063) all_28_2 = e1
% 197.83/31.56 | | | | | | | | | | | | | | |
% 197.83/31.56 | | | | | | | | | | | | | | | COMBINE_EQS: (315), (8063) imply:
% 197.83/31.56 | | | | | | | | | | | | | | | (8064) all_14_2 = e1
% 197.83/31.56 | | | | | | | | | | | | | | |
% 197.83/31.56 | | | | | | | | | | | | | | | COMBINE_EQS: (305), (8064) imply:
% 197.83/31.56 | | | | | | | | | | | | | | | (8065) all_36_2 = e1
% 197.83/31.56 | | | | | | | | | | | | | | |
% 197.83/31.56 | | | | | | | | | | | | | | | REDUCE: (337), (8064) imply:
% 197.83/31.56 | | | | | | | | | | | | | | | (8066) ~ (all_52_1 = e1)
% 197.83/31.56 | | | | | | | | | | | | | | |
% 197.83/31.56 | | | | | | | | | | | | | | | REDUCE: (339), (8064) imply:
% 197.83/31.56 | | | | | | | | | | | | | | | (8067) ~ (all_52_2 = e1)
% 197.83/31.56 | | | | | | | | | | | | | | |
% 197.83/31.56 | | | | | | | | | | | | | | | REDUCE: (341), (8064) imply:
% 197.83/31.56 | | | | | | | | | | | | | | | (8068) ~ (all_52_3 = e1)
% 197.83/31.56 | | | | | | | | | | | | | | |
% 197.83/31.56 | | | | | | | | | | | | | | | REDUCE: (343), (8064) imply:
% 197.83/31.56 | | | | | | | | | | | | | | | (8069) ~ (all_52_4 = e1)
% 197.83/31.56 | | | | | | | | | | | | | | |
% 197.83/31.56 | | | | | | | | | | | | | | | REDUCE: (345), (8064) imply:
% 197.83/31.56 | | | | | | | | | | | | | | | (8070) ~ (all_52_8 = e1)
% 197.83/31.56 | | | | | | | | | | | | | | |
% 197.83/31.56 | | | | | | | | | | | | | | | REDUCE: (7559), (8064) imply:
% 197.83/31.56 | | | | | | | | | | | | | | | (8071) ~ (all_10_1 = e1)
% 197.83/31.56 | | | | | | | | | | | | | | |
% 197.83/31.56 | | | | | | | | | | | | | | | SIMP: (8071) implies:
% 197.83/31.56 | | | | | | | | | | | | | | | (8072) ~ (all_10_1 = e1)
% 197.83/31.56 | | | | | | | | | | | | | | |
% 197.83/31.56 | | | | | | | | | | | | | | | REDUCE: (7561), (8064) imply:
% 197.83/31.56 | | | | | | | | | | | | | | | (8073) ~ (e2 = e1)
% 197.83/31.56 | | | | | | | | | | | | | | |
% 197.83/31.56 | | | | | | | | | | | | | | | REDUCE: (51), (8064) imply:
% 197.83/31.56 | | | | | | | | | | | | | | | (8074) op(e3, e3) = e1
% 197.83/31.56 | | | | | | | | | | | | | | |
% 197.83/31.56 | | | | | | | | | | | | | | | BETA: splitting (85) gives:
% 197.83/31.56 | | | | | | | | | | | | | | |
% 197.83/31.56 | | | | | | | | | | | | | | | Case 1:
% 197.83/31.56 | | | | | | | | | | | | | | | |
% 197.83/31.56 | | | | | | | | | | | | | | | | (8075) ~ (all_36_2 = e1)
% 197.83/31.56 | | | | | | | | | | | | | | | |
% 197.83/31.56 | | | | | | | | | | | | | | | | REDUCE: (8065), (8075) imply:
% 197.83/31.56 | | | | | | | | | | | | | | | | (8076) $false
% 197.83/31.56 | | | | | | | | | | | | | | | |
% 197.83/31.56 | | | | | | | | | | | | | | | | CLOSE: (8076) is inconsistent.
% 197.83/31.56 | | | | | | | | | | | | | | | |
% 197.83/31.56 | | | | | | | | | | | | | | | Case 2:
% 197.83/31.56 | | | | | | | | | | | | | | | |
% 197.83/31.56 | | | | | | | | | | | | | | | | (8077) op(e1, e3) = all_36_1 & $i(all_36_1) & ( ~
% 197.83/31.56 | | | | | | | | | | | | | | | | (all_36_1 = e0) | ( ~ (all_36_0 = e2) & op(e0,
% 197.83/31.56 | | | | | | | | | | | | | | | | e1) = all_36_0 & $i(all_36_0)))
% 197.83/31.56 | | | | | | | | | | | | | | | |
% 197.83/31.56 | | | | | | | | | | | | | | | | ALPHA: (8077) implies:
% 197.83/31.56 | | | | | | | | | | | | | | | | (8078) op(e1, e3) = all_36_1
% 197.83/31.56 | | | | | | | | | | | | | | | |
% 197.83/31.56 | | | | | | | | | | | | | | | | BETA: splitting (79) gives:
% 197.83/31.56 | | | | | | | | | | | | | | | |
% 197.83/31.56 | | | | | | | | | | | | | | | | Case 1:
% 197.83/31.56 | | | | | | | | | | | | | | | | |
% 197.83/31.56 | | | | | | | | | | | | | | | | | (8079) ~ (all_32_2 = e3)
% 197.83/31.56 | | | | | | | | | | | | | | | | |
% 197.83/31.56 | | | | | | | | | | | | | | | | | REDUCE: (301), (8079) imply:
% 197.83/31.56 | | | | | | | | | | | | | | | | | (8080) ~ (all_4_2 = e3)
% 197.83/31.56 | | | | | | | | | | | | | | | | |
% 197.83/31.56 | | | | | | | | | | | | | | | | | BETA: splitting (194) gives:
% 197.83/31.56 | | | | | | | | | | | | | | | | |
% 197.83/31.56 | | | | | | | | | | | | | | | | | Case 1:
% 197.83/31.56 | | | | | | | | | | | | | | | | | |
% 197.83/31.56 | | | | | | | | | | | | | | | | | | (8081) all_54_10 = e3
% 197.83/31.56 | | | | | | | | | | | | | | | | | |
% 197.83/31.56 | | | | | | | | | | | | | | | | | | REF_CLOSE: (335), (8080), (8081) are inconsistent by
% 197.83/31.56 | | | | | | | | | | | | | | | | | | sub-proof #1974.
% 197.83/31.56 | | | | | | | | | | | | | | | | | |
% 197.83/31.56 | | | | | | | | | | | | | | | | | Case 2:
% 197.83/31.56 | | | | | | | | | | | | | | | | | |
% 197.83/31.56 | | | | | | | | | | | | | | | | | | (8082) ~ (all_54_10 = e3)
% 197.83/31.56 | | | | | | | | | | | | | | | | | | (8083) all_54_10 = e2 | all_54_10 = e1 | all_54_10 = e0
% 197.83/31.56 | | | | | | | | | | | | | | | | | |
% 197.83/31.56 | | | | | | | | | | | | | | | | | | BETA: splitting (8083) gives:
% 197.83/31.56 | | | | | | | | | | | | | | | | | |
% 197.83/31.56 | | | | | | | | | | | | | | | | | | Case 1:
% 197.83/31.56 | | | | | | | | | | | | | | | | | | |
% 197.83/31.56 | | | | | | | | | | | | | | | | | | | (8084) all_54_10 = e2
% 197.83/31.56 | | | | | | | | | | | | | | | | | | |
% 197.83/31.56 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (335), (375), (8084) are inconsistent by sub-proof
% 197.83/31.56 | | | | | | | | | | | | | | | | | | | #1973.
% 197.83/31.56 | | | | | | | | | | | | | | | | | | |
% 197.83/31.56 | | | | | | | | | | | | | | | | | | Case 2:
% 197.83/31.56 | | | | | | | | | | | | | | | | | | |
% 197.83/31.56 | | | | | | | | | | | | | | | | | | | (8085) ~ (all_54_10 = e2)
% 197.83/31.56 | | | | | | | | | | | | | | | | | | | (8086) all_54_10 = e1 | all_54_10 = e0
% 197.83/31.56 | | | | | | | | | | | | | | | | | | |
% 197.83/31.56 | | | | | | | | | | | | | | | | | | | BETA: splitting (8086) gives:
% 197.83/31.56 | | | | | | | | | | | | | | | | | | |
% 197.83/31.56 | | | | | | | | | | | | | | | | | | | Case 1:
% 197.83/31.56 | | | | | | | | | | | | | | | | | | | |
% 197.83/31.56 | | | | | | | | | | | | | | | | | | | | (8087) all_54_10 = e1
% 197.83/31.56 | | | | | | | | | | | | | | | | | | | |
% 197.83/31.56 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (335), (8087) imply:
% 197.83/31.56 | | | | | | | | | | | | | | | | | | | | (8088) all_4_2 = e1
% 197.83/31.56 | | | | | | | | | | | | | | | | | | | |
% 197.83/31.56 | | | | | | | | | | | | | | | | | | | | SIMP: (8088) implies:
% 197.83/31.56 | | | | | | | | | | | | | | | | | | | | (8089) all_4_2 = e1
% 197.83/31.56 | | | | | | | | | | | | | | | | | | | |
% 197.83/31.56 | | | | | | | | | | | | | | | | | | | | REDUCE: (363), (8089) imply:
% 197.83/31.56 | | | | | | | | | | | | | | | | | | | | (8090) ~ (all_52_9 = e1)
% 197.83/31.56 | | | | | | | | | | | | | | | | | | | |
% 197.83/31.56 | | | | | | | | | | | | | | | | | | | | REDUCE: (365), (8089) imply:
% 197.83/31.56 | | | | | | | | | | | | | | | | | | | | (8091) ~ (all_52_11 = e1)
% 197.83/31.56 | | | | | | | | | | | | | | | | | | | |
% 197.83/31.56 | | | | | | | | | | | | | | | | | | | | REDUCE: (367), (8089) imply:
% 197.83/31.56 | | | | | | | | | | | | | | | | | | | | (8092) ~ (all_52_14 = e1)
% 197.83/31.56 | | | | | | | | | | | | | | | | | | | |
% 197.83/31.56 | | | | | | | | | | | | | | | | | | | | REDUCE: (8080), (8089) imply:
% 197.83/31.56 | | | | | | | | | | | | | | | | | | | | (8093) ~ (e3 = e1)
% 197.83/31.56 | | | | | | | | | | | | | | | | | | | |
% 197.83/31.56 | | | | | | | | | | | | | | | | | | | | REDUCE: (36), (8089) imply:
% 197.83/31.56 | | | | | | | | | | | | | | | | | | | | (8094) op(e1, e1) = e1
% 197.83/31.56 | | | | | | | | | | | | | | | | | | | |
% 197.83/31.56 | | | | | | | | | | | | | | | | | | | | BETA: splitting (207) gives:
% 197.83/31.56 | | | | | | | | | | | | | | | | | | | |
% 197.83/31.56 | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.83/31.56 | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.56 | | | | | | | | | | | | | | | | | | | | | (8095) (all_56_12 = e1 & op(e0, e3) = e1) | (all_56_13 =
% 197.83/31.56 | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e2) = e1)
% 197.83/31.56 | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.56 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8095) gives:
% 197.83/31.56 | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.56 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.83/31.56 | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.56 | | | | | | | | | | | | | | | | | | | | | | (8096) all_56_12 = e1 & op(e0, e3) = e1
% 197.83/31.56 | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.56 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8096) implies:
% 197.83/31.56 | | | | | | | | | | | | | | | | | | | | | | (8097) all_56_12 = e1
% 197.83/31.56 | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.57 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (158), (162), (222),
% 197.83/31.57 | | | | | | | | | | | | | | | | | | | | | | (223), (224), (225), (226), (227), (228), (229),
% 197.83/31.57 | | | | | | | | | | | | | | | | | | | | | | (233), (235), (7885), (7886), (7891), (8074),
% 197.83/31.57 | | | | | | | | | | | | | | | | | | | | | | (8097), (function-axioms) are inconsistent by
% 197.83/31.57 | | | | | | | | | | | | | | | | | | | | | | sub-proof #1217.
% 197.83/31.57 | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.57 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.83/31.57 | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.57 | | | | | | | | | | | | | | | | | | | | | | (8098) all_56_13 = e1 & op(e0, e2) = e1
% 197.83/31.57 | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.57 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8098) implies:
% 197.83/31.57 | | | | | | | | | | | | | | | | | | | | | | (8099) all_56_13 = e1
% 197.83/31.57 | | | | | | | | | | | | | | | | | | | | | | (8100) op(e0, e2) = e1
% 197.83/31.57 | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.57 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (210) gives:
% 197.83/31.57 | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.57 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.83/31.57 | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.57 | | | | | | | | | | | | | | | | | | | | | | | (8101) (all_56_9 = e1 & op(e3, e0) = e1) | (all_56_10 =
% 197.83/31.57 | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e2, e0) = e1)
% 197.83/31.57 | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.57 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8101) gives:
% 197.83/31.57 | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.57 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.83/31.57 | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.57 | | | | | | | | | | | | | | | | | | | | | | | | (8102) all_56_9 = e1 & op(e3, e0) = e1
% 197.83/31.57 | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.57 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8102) implies:
% 197.83/31.57 | | | | | | | | | | | | | | | | | | | | | | | | (8103) all_56_9 = e1
% 197.83/31.57 | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.57 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (222) gives:
% 197.83/31.57 | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.57 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.83/31.57 | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.57 | | | | | | | | | | | | | | | | | | | | | | | | | (8104) (all_56_2 = e1 & op(e2, e3) = e1) | (all_56_3 = e1
% 197.83/31.57 | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1)
% 197.83/31.57 | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.57 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (206), (207), (208),
% 197.83/31.57 | | | | | | | | | | | | | | | | | | | | | | | | | (229), (233), (235), (7532), (7891), (8074),
% 197.83/31.57 | | | | | | | | | | | | | | | | | | | | | | | | | (8104), (function-axioms) are inconsistent by
% 197.83/31.57 | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #835.
% 197.83/31.57 | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.57 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.83/31.57 | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.57 | | | | | | | | | | | | | | | | | | | | | | | | | (8105) (all_56_5 = e1 & op(e2, e1) = e1) | (all_56_10 =
% 197.83/31.57 | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e2, e0) = e1)
% 197.83/31.57 | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.57 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8105) gives:
% 197.83/31.57 | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.57 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.83/31.57 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.57 | | | | | | | | | | | | | | | | | | | | | | | | | | (8106) all_56_5 = e1 & op(e2, e1) = e1
% 197.83/31.57 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.57 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8106) implies:
% 197.83/31.57 | | | | | | | | | | | | | | | | | | | | | | | | | | (8107) all_56_5 = e1
% 197.83/31.57 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.57 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (224) gives:
% 197.83/31.57 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.57 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.83/31.57 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | (8108) (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3
% 197.83/31.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e3)
% 197.83/31.57 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8108) gives:
% 197.83/31.57 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.83/31.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8109) all_56_2 = e3 & op(e2, e3) = e3
% 197.83/31.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8109) implies:
% 197.83/31.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8110) all_56_2 = e3
% 197.83/31.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (223) gives:
% 197.83/31.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.83/31.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8111) (all_56_2 = e2 & op(e2, e3) = e2) | (all_56_3 = e2
% 197.83/31.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e2)
% 197.83/31.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (9), (7891), (8110), (8111),
% 197.83/31.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 197.83/31.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1455.
% 197.83/31.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.83/31.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8112) (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_10 =
% 197.83/31.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2)
% 197.83/31.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (206), (210), (222),
% 197.83/31.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (226), (227), (228), (230), (234), (236), (7541),
% 197.83/31.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7891), (8074), (8103), (8107), (8110), (8112),
% 197.83/31.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 197.83/31.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #833.
% 197.83/31.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.83/31.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.83/31.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8113) all_56_3 = e3 & op(e2, e2) = e3
% 197.83/31.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8113) implies:
% 197.83/31.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8114) op(e2, e2) = e3
% 197.83/31.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (7891), (8114), (function-axioms) are
% 197.83/31.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1661.
% 197.83/31.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.83/31.57 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.57 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.83/31.57 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | (8115) (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 =
% 197.83/31.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e0) = e3)
% 197.83/31.57 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8115) gives:
% 197.83/31.57 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.83/31.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8116) all_56_5 = e3 & op(e2, e1) = e3
% 197.83/31.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8116) implies:
% 197.83/31.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8117) all_56_5 = e3
% 197.83/31.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (8107), (8117) are inconsistent by sub-proof
% 197.83/31.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1493.
% 197.83/31.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.83/31.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8118) all_56_10 = e3 & op(e2, e0) = e3
% 197.83/31.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8118) implies:
% 197.83/31.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8119) all_56_10 = e3
% 197.83/31.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (223) gives:
% 197.83/31.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.83/31.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8120) (all_56_2 = e2 & op(e2, e3) = e2) | (all_56_3 = e2
% 197.83/31.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e2)
% 197.83/31.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8120) gives:
% 197.83/31.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.83/31.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8121) all_56_2 = e2 & op(e2, e3) = e2
% 197.83/31.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8121) implies:
% 197.83/31.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8122) all_56_2 = e2
% 197.83/31.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (158), (162), (206),
% 197.83/31.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (210), (222), (223), (224), (225), (226), (227),
% 197.83/31.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (228), (230), (234), (236), (7532), (7885),
% 197.83/31.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7886), (7891), (8074), (8103), (8107), (8119),
% 197.83/31.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8122), (function-axioms) are inconsistent by
% 197.83/31.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #832.
% 197.83/31.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.83/31.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8123) all_56_3 = e2 & op(e2, e2) = e2
% 197.83/31.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8123) implies:
% 197.83/31.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8124) op(e2, e2) = e2
% 197.83/31.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (7891), (8124), (function-axioms) are
% 197.83/31.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1960.
% 197.83/31.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.83/31.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.83/31.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8125) (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_10 =
% 197.83/31.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2)
% 197.83/31.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (9), (8107), (8119), (8125) are inconsistent
% 197.83/31.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #831.
% 197.83/31.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.83/31.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.83/31.57 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.57 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.83/31.57 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.57 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.83/31.57 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.57 | | | | | | | | | | | | | | | | | | | | | | | | | | (8126) all_56_10 = e1 & op(e2, e0) = e1
% 197.83/31.57 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.57 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (110), (117), (118),
% 197.83/31.57 | | | | | | | | | | | | | | | | | | | | | | | | | | (121), (123), (134), (139), (145), (146), (148),
% 197.83/31.57 | | | | | | | | | | | | | | | | | | | | | | | | | | (157), (158), (159), (160), (162), (163), (164),
% 197.83/31.57 | | | | | | | | | | | | | | | | | | | | | | | | | | (168), (169), (190), (192), (198), (200), (201),
% 197.83/31.57 | | | | | | | | | | | | | | | | | | | | | | | | | | (202), (203), (206), (207), (208), (210), (211),
% 197.83/31.57 | | | | | | | | | | | | | | | | | | | | | | | | | | (213), (214), (215), (216), (217), (218), (219),
% 197.83/31.57 | | | | | | | | | | | | | | | | | | | | | | | | | | (220), (222), (223), (224), (225), (226), (227),
% 197.83/31.57 | | | | | | | | | | | | | | | | | | | | | | | | | | (228), (229), (230), (232), (233), (234), (235),
% 197.83/31.57 | | | | | | | | | | | | | | | | | | | | | | | | | | (236), (238), (239), (247), (249), (261), (269),
% 197.83/31.57 | | | | | | | | | | | | | | | | | | | | | | | | | | (271), (272), (7526), (7528), (7529), (7531),
% 197.83/31.57 | | | | | | | | | | | | | | | | | | | | | | | | | | (7532), (7551), (7552), (7553), (7555), (7560),
% 197.83/31.57 | | | | | | | | | | | | | | | | | | | | | | | | | | (7880), (7883), (7884), (7885), (7886), (7887),
% 197.83/31.57 | | | | | | | | | | | | | | | | | | | | | | | | | | (7888), (7891), (7901), (7907), (7908), (7911),
% 197.83/31.57 | | | | | | | | | | | | | | | | | | | | | | | | | | (7912), (7913), (8066), (8067), (8068), (8069),
% 197.83/31.57 | | | | | | | | | | | | | | | | | | | | | | | | | | (8070), (8072), (8074), (8078), (8090), (8091),
% 197.83/31.57 | | | | | | | | | | | | | | | | | | | | | | | | | | (8092), (8094), (8099), (8100), (8126),
% 197.83/31.57 | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 197.83/31.57 | | | | | | | | | | | | | | | | | | | | | | | | | | #768.
% 197.83/31.57 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.57 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.83/31.57 | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.57 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.83/31.57 | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.57 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.83/31.57 | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.57 | | | | | | | | | | | | | | | | | | | | | | | | (8127) all_56_10 = e1 & op(e2, e0) = e1
% 197.83/31.57 | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.57 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (110), (117), (118),
% 197.83/31.57 | | | | | | | | | | | | | | | | | | | | | | | | (121), (123), (134), (139), (145), (146), (148),
% 197.83/31.57 | | | | | | | | | | | | | | | | | | | | | | | | (157), (158), (159), (160), (162), (163), (164),
% 197.83/31.57 | | | | | | | | | | | | | | | | | | | | | | | | (168), (169), (190), (192), (198), (200), (201),
% 197.83/31.57 | | | | | | | | | | | | | | | | | | | | | | | | (202), (203), (206), (207), (208), (210), (211),
% 197.83/31.57 | | | | | | | | | | | | | | | | | | | | | | | | (213), (214), (215), (216), (217), (218), (219),
% 197.83/31.57 | | | | | | | | | | | | | | | | | | | | | | | | (220), (222), (223), (224), (225), (226), (227),
% 197.83/31.57 | | | | | | | | | | | | | | | | | | | | | | | | (228), (229), (230), (232), (233), (234), (235),
% 197.83/31.57 | | | | | | | | | | | | | | | | | | | | | | | | (236), (238), (239), (247), (249), (261), (269),
% 197.83/31.57 | | | | | | | | | | | | | | | | | | | | | | | | (271), (272), (7526), (7528), (7529), (7531),
% 197.83/31.57 | | | | | | | | | | | | | | | | | | | | | | | | (7532), (7551), (7552), (7553), (7555), (7560),
% 197.83/31.57 | | | | | | | | | | | | | | | | | | | | | | | | (7880), (7883), (7884), (7885), (7886), (7887),
% 197.83/31.57 | | | | | | | | | | | | | | | | | | | | | | | | (7888), (7891), (7901), (7907), (7908), (7911),
% 197.83/31.57 | | | | | | | | | | | | | | | | | | | | | | | | (7912), (7913), (8066), (8067), (8068), (8069),
% 197.83/31.57 | | | | | | | | | | | | | | | | | | | | | | | | (8070), (8072), (8074), (8078), (8090), (8091),
% 197.83/31.57 | | | | | | | | | | | | | | | | | | | | | | | | (8092), (8094), (8099), (8100), (8127),
% 197.83/31.57 | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 197.83/31.57 | | | | | | | | | | | | | | | | | | | | | | | | #768.
% 197.83/31.57 | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.57 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.83/31.57 | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.57 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.83/31.57 | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.57 | | | | | | | | | | | | | | | | | | | | | | | (8128) (all_56_11 = e1 & op(e1, e0) = e1) | (all_56_15 =
% 197.83/31.57 | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = e1)
% 197.83/31.57 | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.57 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (160), (7532), (8092), (8128),
% 197.83/31.57 | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 197.83/31.57 | | | | | | | | | | | | | | | | | | | | | | | #767.
% 197.83/31.57 | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.57 | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.83/31.57 | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.57 | | | | | | | | | | | | | | | | | | | | | End of split
% 197.83/31.57 | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.57 | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.83/31.57 | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.57 | | | | | | | | | | | | | | | | | | | | | (8129) (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 =
% 197.83/31.57 | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = e1)
% 197.83/31.57 | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.57 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8129) gives:
% 197.83/31.57 | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.57 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.83/31.57 | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.57 | | | | | | | | | | | | | | | | | | | | | | (8130) all_56_14 = e1 & op(e0, e1) = e1
% 197.83/31.57 | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.57 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8130) implies:
% 197.83/31.57 | | | | | | | | | | | | | | | | | | | | | | (8131) all_56_14 = e1
% 197.83/31.57 | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.57 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (210) gives:
% 197.83/31.57 | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.57 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.83/31.57 | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.57 | | | | | | | | | | | | | | | | | | | | | | | (8132) (all_56_9 = e1 & op(e3, e0) = e1) | (all_56_10 =
% 197.83/31.57 | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e2, e0) = e1)
% 197.83/31.57 | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.57 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8132) gives:
% 197.83/31.57 | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.57 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.83/31.57 | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.57 | | | | | | | | | | | | | | | | | | | | | | | | (8133) all_56_9 = e1 & op(e3, e0) = e1
% 197.83/31.57 | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.57 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8133) implies:
% 197.83/31.57 | | | | | | | | | | | | | | | | | | | | | | | | (8134) all_56_9 = e1
% 197.83/31.57 | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.57 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (222) gives:
% 197.83/31.57 | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.57 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.83/31.57 | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.57 | | | | | | | | | | | | | | | | | | | | | | | | | (8135) (all_56_2 = e1 & op(e2, e3) = e1) | (all_56_3 = e1
% 197.83/31.57 | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1)
% 197.83/31.57 | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.57 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (206), (207), (208),
% 197.83/31.57 | | | | | | | | | | | | | | | | | | | | | | | | | (229), (233), (235), (7532), (7891), (8074),
% 197.83/31.57 | | | | | | | | | | | | | | | | | | | | | | | | | (8135), (function-axioms) are inconsistent by
% 197.83/31.57 | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #835.
% 197.83/31.57 | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.57 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.83/31.57 | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.57 | | | | | | | | | | | | | | | | | | | | | | | | | (8136) (all_56_5 = e1 & op(e2, e1) = e1) | (all_56_10 =
% 197.83/31.57 | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e2, e0) = e1)
% 197.83/31.57 | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.57 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8136) gives:
% 197.83/31.57 | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.57 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.83/31.57 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.57 | | | | | | | | | | | | | | | | | | | | | | | | | | (8137) all_56_5 = e1 & op(e2, e1) = e1
% 197.83/31.57 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.57 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8137) implies:
% 197.83/31.57 | | | | | | | | | | | | | | | | | | | | | | | | | | (8138) all_56_5 = e1
% 197.83/31.57 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.57 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (226) gives:
% 197.83/31.57 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.57 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.83/31.57 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | (8139) (all_56_1 = e1 & op(e3, e2) = e1) | (all_56_3 = e1
% 197.83/31.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1)
% 197.83/31.57 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (168), (230), (234),
% 197.83/31.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | (236), (7529), (7891), (8074), (8139),
% 197.83/31.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 197.83/31.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | #795.
% 197.83/31.57 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.57 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.83/31.57 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | (8140) (all_56_7 = e1 & op(e1, e2) = e1) | (all_56_13 =
% 197.83/31.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e2) = e1)
% 197.83/31.57 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8140) gives:
% 197.83/31.57 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.83/31.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8141) all_56_7 = e1 & op(e1, e2) = e1
% 197.83/31.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8141) implies:
% 197.83/31.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8142) all_56_7 = e1
% 197.83/31.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (224) gives:
% 197.83/31.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.83/31.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8143) (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3
% 197.83/31.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e3)
% 197.83/31.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8143) gives:
% 197.83/31.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.83/31.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8144) all_56_2 = e3 & op(e2, e3) = e3
% 197.83/31.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8144) implies:
% 197.83/31.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8145) all_56_2 = e3
% 197.83/31.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (228) gives:
% 197.83/31.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.83/31.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8146) (all_56_1 = e3 & op(e3, e2) = e3) | (all_56_3 = e3
% 197.83/31.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e3)
% 197.83/31.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8146) gives:
% 197.83/31.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.83/31.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8147) all_56_1 = e3 & op(e3, e2) = e3
% 197.83/31.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8147) implies:
% 197.83/31.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8148) all_56_1 = e3
% 197.83/31.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (223) gives:
% 197.83/31.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.83/31.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8149) (all_56_2 = e2 & op(e2, e3) = e2) | (all_56_3 = e2
% 197.83/31.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e2)
% 197.83/31.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8149) gives:
% 197.83/31.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.83/31.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8150) all_56_2 = e2 & op(e2, e3) = e2
% 197.83/31.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (8145), (8150) are inconsistent by sub-proof
% 197.83/31.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1456.
% 197.83/31.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.83/31.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8151) all_56_3 = e2 & op(e2, e2) = e2
% 197.83/31.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8151) implies:
% 197.83/31.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8152) op(e2, e2) = e2
% 197.83/31.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (158), (225), (7886), (8142),
% 197.83/31.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8148), (8152), (function-axioms) are inconsistent
% 197.83/31.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1728.
% 197.83/31.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.83/31.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.83/31.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8153) (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_10 =
% 197.83/31.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2)
% 197.83/31.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (206), (210), (222),
% 197.83/31.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (226), (227), (228), (230), (234), (236), (7541),
% 197.83/31.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7891), (8074), (8134), (8138), (8145), (8153),
% 197.83/31.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 197.83/31.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #833.
% 197.83/31.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.83/31.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.83/31.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8154) all_56_3 = e3 & op(e2, e2) = e3
% 197.83/31.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8154) implies:
% 197.83/31.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8155) op(e2, e2) = e3
% 197.83/31.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (7891), (8155), (function-axioms) are
% 197.83/31.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1661.
% 197.83/31.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.83/31.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.83/31.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8156) (all_56_7 = e3 & op(e1, e2) = e3) | (all_56_13 =
% 197.83/31.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e2) = e3)
% 197.83/31.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8156) gives:
% 197.83/31.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.83/31.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8157) all_56_7 = e3 & op(e1, e2) = e3
% 197.83/31.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8157) implies:
% 197.83/31.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8158) all_56_7 = e3
% 197.83/31.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (8142), (8158) imply:
% 197.83/31.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8159) e3 = e1
% 197.83/31.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (8159) implies:
% 197.83/31.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8160) e3 = e1
% 197.83/31.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (8145), (8160) imply:
% 197.83/31.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8161) all_56_2 = e1
% 197.83/31.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (206), (207), (208),
% 197.83/31.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (229), (233), (235), (7532), (8074), (8161),
% 197.83/31.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 197.83/31.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1216.
% 197.83/31.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.83/31.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8162) all_56_13 = e3 & op(e0, e2) = e3
% 197.83/31.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8162) implies:
% 197.83/31.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8163) all_56_13 = e3
% 197.83/31.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (206), (207), (208),
% 197.83/31.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7532), (8163), (function-axioms) are inconsistent
% 197.83/31.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1646.
% 197.83/31.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.83/31.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.83/31.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.83/31.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8164) all_56_3 = e3 & op(e2, e2) = e3
% 197.83/31.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8164) implies:
% 197.83/31.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8165) op(e2, e2) = e3
% 197.83/31.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (7891), (8165), (function-axioms) are
% 197.83/31.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1661.
% 197.83/31.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.83/31.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.83/31.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8166) (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 =
% 197.83/31.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e0) = e3)
% 197.83/31.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8166) gives:
% 197.83/31.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.83/31.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8167) all_56_5 = e3 & op(e2, e1) = e3
% 197.83/31.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8167) implies:
% 197.83/31.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8168) all_56_5 = e3
% 197.83/31.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (8138), (8168) are inconsistent by sub-proof
% 197.83/31.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1493.
% 197.83/31.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.83/31.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8169) all_56_10 = e3 & op(e2, e0) = e3
% 197.83/31.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8169) implies:
% 197.83/31.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8170) all_56_10 = e3
% 197.83/31.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (228) gives:
% 197.83/31.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.83/31.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8171) (all_56_1 = e3 & op(e3, e2) = e3) | (all_56_3 = e3
% 197.83/31.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e3)
% 197.83/31.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8171) gives:
% 197.83/31.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.83/31.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8172) all_56_1 = e3 & op(e3, e2) = e3
% 197.83/31.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8172) implies:
% 197.83/31.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8173) all_56_1 = e3
% 197.83/31.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (223) gives:
% 197.83/31.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.83/31.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8174) (all_56_2 = e2 & op(e2, e3) = e2) | (all_56_3 = e2
% 197.83/31.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e2)
% 197.83/31.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8174) gives:
% 197.83/31.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.83/31.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8175) all_56_2 = e2 & op(e2, e3) = e2
% 197.83/31.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8175) implies:
% 197.83/31.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8176) all_56_2 = e2
% 197.83/31.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (158), (162), (206),
% 197.83/31.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (210), (222), (223), (224), (225), (226), (227),
% 197.83/31.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (228), (230), (234), (236), (7532), (7885),
% 197.83/31.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7886), (7891), (8074), (8134), (8138), (8170),
% 197.83/31.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8176), (function-axioms) are inconsistent by
% 197.83/31.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #832.
% 197.83/31.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.83/31.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8177) all_56_3 = e2 & op(e2, e2) = e2
% 197.83/31.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8177) implies:
% 197.83/31.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8178) op(e2, e2) = e2
% 197.83/31.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (158), (225), (7886), (8142),
% 197.83/31.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8173), (8178), (function-axioms) are inconsistent
% 197.83/31.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1728.
% 197.83/31.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.83/31.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.83/31.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8179) (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_10 =
% 197.83/31.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2)
% 197.83/31.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (9), (8138), (8170), (8179) are inconsistent
% 197.83/31.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #831.
% 197.83/31.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.83/31.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.83/31.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8180) all_56_3 = e3 & op(e2, e2) = e3
% 197.83/31.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8180) implies:
% 197.83/31.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8181) op(e2, e2) = e3
% 197.83/31.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (7891), (8181), (function-axioms) are
% 197.83/31.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1661.
% 197.83/31.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.83/31.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.83/31.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8182) (all_56_7 = e3 & op(e1, e2) = e3) | (all_56_13 =
% 197.83/31.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e2) = e3)
% 197.83/31.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8182) gives:
% 197.83/31.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.83/31.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8183) all_56_7 = e3 & op(e1, e2) = e3
% 197.83/31.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8183) implies:
% 197.83/31.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8184) all_56_7 = e3
% 197.83/31.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (8142), (8184) imply:
% 197.83/31.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8185) e3 = e1
% 197.83/31.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (8185) implies:
% 197.83/31.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8186) e3 = e1
% 197.83/31.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (8170), (8186) imply:
% 197.83/31.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8187) all_56_10 = e1
% 197.83/31.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (157), (158), (160),
% 197.83/31.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (162), (163), (164), (168), (206), (207), (208),
% 197.83/31.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (210), (214), (215), (216), (217), (218), (219),
% 197.83/31.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (220), (222), (223), (224), (225), (226), (227),
% 197.83/31.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (228), (229), (230), (233), (234), (235), (236),
% 197.83/31.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7528), (7529), (7531), (7532), (7885), (7886),
% 197.83/31.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7888), (7891), (8067), (8074), (8078), (8094),
% 197.83/31.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8131), (8142), (8187), (function-axioms) are
% 197.83/31.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #774.
% 197.83/31.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.83/31.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8188) all_56_13 = e3 & op(e0, e2) = e3
% 197.83/31.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8188) implies:
% 197.83/31.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8189) all_56_13 = e3
% 197.83/31.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (206), (207), (208),
% 197.83/31.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7532), (8189), (function-axioms) are inconsistent
% 197.83/31.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1646.
% 197.83/31.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.83/31.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.83/31.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.83/31.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.83/31.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.83/31.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8190) all_56_13 = e1 & op(e0, e2) = e1
% 197.83/31.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8190) implies:
% 197.83/31.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8191) all_56_13 = e1
% 197.83/31.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (9), (158), (206), (208),
% 197.83/31.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7532), (7886), (8131), (8191), (function-axioms)
% 197.83/31.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #770.
% 197.83/31.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.83/31.58 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.58 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.83/31.58 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.58 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.83/31.58 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.58 | | | | | | | | | | | | | | | | | | | | | | | | | | (8192) all_56_10 = e1 & op(e2, e0) = e1
% 197.83/31.58 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.58 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8192) implies:
% 197.83/31.58 | | | | | | | | | | | | | | | | | | | | | | | | | | (8193) all_56_10 = e1
% 197.83/31.58 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.58 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (157), (158), (160),
% 197.83/31.58 | | | | | | | | | | | | | | | | | | | | | | | | | | (162), (163), (164), (168), (206), (207), (208),
% 197.83/31.58 | | | | | | | | | | | | | | | | | | | | | | | | | | (210), (214), (215), (216), (217), (218), (219),
% 197.83/31.58 | | | | | | | | | | | | | | | | | | | | | | | | | | (220), (222), (223), (224), (225), (226), (227),
% 197.83/31.58 | | | | | | | | | | | | | | | | | | | | | | | | | | (228), (229), (230), (233), (234), (235), (236),
% 197.83/31.58 | | | | | | | | | | | | | | | | | | | | | | | | | | (7528), (7529), (7531), (7532), (7885), (7886),
% 197.83/31.58 | | | | | | | | | | | | | | | | | | | | | | | | | | (7888), (7891), (8067), (8074), (8078), (8094),
% 197.83/31.58 | | | | | | | | | | | | | | | | | | | | | | | | | | (8131), (8193), (function-axioms) are inconsistent
% 197.83/31.58 | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #769.
% 197.83/31.58 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.58 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.83/31.58 | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.58 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.83/31.58 | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.58 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.83/31.58 | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.58 | | | | | | | | | | | | | | | | | | | | | | | | (8194) all_56_10 = e1 & op(e2, e0) = e1
% 197.83/31.58 | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.58 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8194) implies:
% 197.83/31.58 | | | | | | | | | | | | | | | | | | | | | | | | (8195) all_56_10 = e1
% 197.83/31.58 | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.58 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (157), (158), (160),
% 197.83/31.58 | | | | | | | | | | | | | | | | | | | | | | | | (162), (163), (164), (168), (206), (207), (208),
% 197.83/31.58 | | | | | | | | | | | | | | | | | | | | | | | | (210), (214), (215), (216), (217), (218), (219),
% 197.83/31.58 | | | | | | | | | | | | | | | | | | | | | | | | (220), (222), (223), (224), (225), (226), (227),
% 197.83/31.58 | | | | | | | | | | | | | | | | | | | | | | | | (228), (229), (230), (233), (234), (235), (236),
% 197.83/31.58 | | | | | | | | | | | | | | | | | | | | | | | | (7528), (7529), (7531), (7532), (7885), (7886),
% 197.83/31.58 | | | | | | | | | | | | | | | | | | | | | | | | (7888), (7891), (8067), (8074), (8078), (8094),
% 197.83/31.58 | | | | | | | | | | | | | | | | | | | | | | | | (8131), (8195), (function-axioms) are inconsistent
% 197.83/31.58 | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #769.
% 197.83/31.58 | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.58 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.83/31.58 | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.58 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.83/31.58 | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.58 | | | | | | | | | | | | | | | | | | | | | | | (8196) (all_56_11 = e1 & op(e1, e0) = e1) | (all_56_15 =
% 197.83/31.58 | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = e1)
% 197.83/31.58 | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.58 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (160), (7532), (8092), (8196),
% 197.83/31.58 | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 197.83/31.58 | | | | | | | | | | | | | | | | | | | | | | | #767.
% 197.83/31.58 | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.58 | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.83/31.58 | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.58 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.83/31.58 | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.58 | | | | | | | | | | | | | | | | | | | | | | (8197) all_56_15 = e1 & op(e0, e0) = e1
% 197.83/31.58 | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.58 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8197) implies:
% 197.83/31.58 | | | | | | | | | | | | | | | | | | | | | | (8198) op(e0, e0) = e1
% 197.83/31.58 | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.58 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (7532), (8198), (function-axioms) are
% 197.83/31.58 | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1699.
% 197.83/31.58 | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.58 | | | | | | | | | | | | | | | | | | | | | End of split
% 197.83/31.58 | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.58 | | | | | | | | | | | | | | | | | | | | End of split
% 197.83/31.58 | | | | | | | | | | | | | | | | | | | |
% 197.83/31.58 | | | | | | | | | | | | | | | | | | | Case 2:
% 197.83/31.58 | | | | | | | | | | | | | | | | | | | |
% 197.83/31.58 | | | | | | | | | | | | | | | | | | | | (8199) all_54_10 = e0
% 197.83/31.58 | | | | | | | | | | | | | | | | | | | |
% 197.83/31.58 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (335), (372), (8199) are inconsistent by sub-proof
% 197.83/31.58 | | | | | | | | | | | | | | | | | | | | #1950.
% 197.83/31.58 | | | | | | | | | | | | | | | | | | | |
% 197.83/31.58 | | | | | | | | | | | | | | | | | | | End of split
% 197.83/31.58 | | | | | | | | | | | | | | | | | | |
% 197.83/31.58 | | | | | | | | | | | | | | | | | | End of split
% 197.83/31.58 | | | | | | | | | | | | | | | | | |
% 197.83/31.58 | | | | | | | | | | | | | | | | | End of split
% 197.83/31.58 | | | | | | | | | | | | | | | | |
% 197.83/31.58 | | | | | | | | | | | | | | | | Case 2:
% 197.83/31.58 | | | | | | | | | | | | | | | | |
% 197.83/31.58 | | | | | | | | | | | | | | | | | (8200) all_32_2 = e3
% 197.83/31.58 | | | | | | | | | | | | | | | | | (8201) op(e3, e1) = all_32_1 & $i(all_32_1) & ( ~
% 197.83/31.58 | | | | | | | | | | | | | | | | | (all_32_1 = e0) | ( ~ (all_32_0 = e2) & op(e0,
% 197.83/31.58 | | | | | | | | | | | | | | | | | e3) = all_32_0 & $i(all_32_0)))
% 197.83/31.58 | | | | | | | | | | | | | | | | |
% 197.83/31.58 | | | | | | | | | | | | | | | | | ALPHA: (8201) implies:
% 197.83/31.58 | | | | | | | | | | | | | | | | | (8202) op(e3, e1) = all_32_1
% 197.83/31.58 | | | | | | | | | | | | | | | | | (8203) ~ (all_32_1 = e0) | ( ~ (all_32_0 = e2) & op(e0,
% 197.83/31.58 | | | | | | | | | | | | | | | | | e3) = all_32_0 & $i(all_32_0))
% 197.83/31.58 | | | | | | | | | | | | | | | | |
% 197.83/31.58 | | | | | | | | | | | | | | | | | COMBINE_EQS: (301), (8200) imply:
% 197.83/31.58 | | | | | | | | | | | | | | | | | (8204) all_4_2 = e3
% 197.83/31.58 | | | | | | | | | | | | | | | | |
% 197.83/31.58 | | | | | | | | | | | | | | | | | SIMP: (8204) implies:
% 197.83/31.58 | | | | | | | | | | | | | | | | | (8205) all_4_2 = e3
% 197.83/31.58 | | | | | | | | | | | | | | | | |
% 197.83/31.58 | | | | | | | | | | | | | | | | | COMBINE_EQS: (295), (8205) imply:
% 197.83/31.58 | | | | | | | | | | | | | | | | | (8206) all_50_2 = e3
% 197.83/31.58 | | | | | | | | | | | | | | | | |
% 197.83/31.58 | | | | | | | | | | | | | | | | | REDUCE: (360), (8205) imply:
% 197.83/31.58 | | | | | | | | | | | | | | | | | (8207) ~ (all_52_6 = e3)
% 197.83/31.58 | | | | | | | | | | | | | | | | |
% 197.83/31.58 | | | | | | | | | | | | | | | | | REDUCE: (362), (8205) imply:
% 197.83/31.58 | | | | | | | | | | | | | | | | | (8208) ~ (all_52_8 = e3)
% 197.83/31.58 | | | | | | | | | | | | | | | | |
% 197.83/31.58 | | | | | | | | | | | | | | | | | REDUCE: (36), (8205) imply:
% 197.83/31.58 | | | | | | | | | | | | | | | | | (8209) op(e1, e1) = e3
% 197.83/31.58 | | | | | | | | | | | | | | | | |
% 197.83/31.58 | | | | | | | | | | | | | | | | | BETA: splitting (106) gives:
% 197.83/31.58 | | | | | | | | | | | | | | | | |
% 197.83/31.58 | | | | | | | | | | | | | | | | | Case 1:
% 197.83/31.58 | | | | | | | | | | | | | | | | | |
% 197.83/31.58 | | | | | | | | | | | | | | | | | | (8210) ~ (all_50_2 = e3)
% 197.83/31.58 | | | | | | | | | | | | | | | | | |
% 197.83/31.58 | | | | | | | | | | | | | | | | | | REDUCE: (8206), (8210) imply:
% 197.83/31.58 | | | | | | | | | | | | | | | | | | (8211) $false
% 197.83/31.58 | | | | | | | | | | | | | | | | | |
% 197.83/31.58 | | | | | | | | | | | | | | | | | | CLOSE: (8211) is inconsistent.
% 197.83/31.58 | | | | | | | | | | | | | | | | | |
% 197.83/31.58 | | | | | | | | | | | | | | | | | Case 2:
% 197.83/31.58 | | | | | | | | | | | | | | | | | |
% 197.83/31.58 | | | | | | | | | | | | | | | | | | (8212) op(e3, e1) = all_50_1 & $i(all_50_1) & ( ~
% 197.83/31.58 | | | | | | | | | | | | | | | | | | (all_50_1 = e2) | ( ~ (all_50_0 = e0) & op(e2,
% 197.83/31.58 | | | | | | | | | | | | | | | | | | e3) = all_50_0 & $i(all_50_0)))
% 197.83/31.58 | | | | | | | | | | | | | | | | | |
% 197.83/31.58 | | | | | | | | | | | | | | | | | | ALPHA: (8212) implies:
% 197.83/31.58 | | | | | | | | | | | | | | | | | | (8213) op(e3, e1) = all_50_1
% 197.83/31.58 | | | | | | | | | | | | | | | | | | (8214) ~ (all_50_1 = e2) | ( ~ (all_50_0 = e0) & op(e2,
% 197.83/31.58 | | | | | | | | | | | | | | | | | | e3) = all_50_0 & $i(all_50_0))
% 197.83/31.58 | | | | | | | | | | | | | | | | | |
% 197.83/31.58 | | | | | | | | | | | | | | | | | | BETA: splitting (216) gives:
% 197.83/31.58 | | | | | | | | | | | | | | | | | |
% 197.83/31.58 | | | | | | | | | | | | | | | | | | Case 1:
% 197.83/31.58 | | | | | | | | | | | | | | | | | | |
% 197.83/31.58 | | | | | | | | | | | | | | | | | | | (8215) (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_7 = e3
% 197.83/31.58 | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e3)
% 197.83/31.58 | | | | | | | | | | | | | | | | | | |
% 197.83/31.58 | | | | | | | | | | | | | | | | | | | BETA: splitting (8215) gives:
% 197.83/31.58 | | | | | | | | | | | | | | | | | | |
% 197.83/31.58 | | | | | | | | | | | | | | | | | | | Case 1:
% 197.83/31.58 | | | | | | | | | | | | | | | | | | | |
% 197.83/31.58 | | | | | | | | | | | | | | | | | | | | (8216) all_56_6 = e3 & op(e1, e3) = e3
% 197.83/31.58 | | | | | | | | | | | | | | | | | | | |
% 197.83/31.58 | | | | | | | | | | | | | | | | | | | | ALPHA: (8216) implies:
% 197.83/31.58 | | | | | | | | | | | | | | | | | | | | (8217) all_56_6 = e3
% 197.83/31.58 | | | | | | | | | | | | | | | | | | | |
% 197.83/31.58 | | | | | | | | | | | | | | | | | | | | BETA: splitting (220) gives:
% 197.83/31.58 | | | | | | | | | | | | | | | | | | | |
% 197.83/31.58 | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.83/31.58 | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.58 | | | | | | | | | | | | | | | | | | | | | (8218) (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3
% 197.83/31.58 | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e3)
% 197.83/31.58 | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.58 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8218) gives:
% 197.83/31.58 | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.58 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.83/31.58 | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.58 | | | | | | | | | | | | | | | | | | | | | | (8219) all_56_4 = e3 & op(e3, e1) = e3
% 197.83/31.58 | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.58 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8219) implies:
% 197.83/31.58 | | | | | | | | | | | | | | | | | | | | | | (8220) op(e3, e1) = e3
% 197.83/31.58 | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.58 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (169), (8208), (8220), (function-axioms) are
% 197.83/31.58 | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1930.
% 197.83/31.58 | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.58 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.83/31.58 | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.58 | | | | | | | | | | | | | | | | | | | | | | (8221) all_56_5 = e3 & op(e2, e1) = e3
% 197.83/31.58 | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.58 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8221) implies:
% 197.83/31.58 | | | | | | | | | | | | | | | | | | | | | | (8222) all_56_5 = e3
% 197.83/31.58 | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.58 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (228) gives:
% 197.83/31.58 | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.58 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.83/31.58 | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.58 | | | | | | | | | | | | | | | | | | | | | | | (8223) (all_56_1 = e3 & op(e3, e2) = e3) | (all_56_3 = e3
% 197.83/31.58 | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e3)
% 197.83/31.58 | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.58 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8223) gives:
% 197.83/31.58 | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.58 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.83/31.58 | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.58 | | | | | | | | | | | | | | | | | | | | | | | | (8224) all_56_1 = e3 & op(e3, e2) = e3
% 197.83/31.58 | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.58 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8224) implies:
% 197.83/31.58 | | | | | | | | | | | | | | | | | | | | | | | | (8225) all_56_1 = e3
% 197.83/31.58 | | | | | | | | | | | | | | | | | | | | | | | | (8226) op(e3, e2) = e3
% 197.83/31.58 | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.58 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (222) gives:
% 197.83/31.58 | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.58 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.83/31.58 | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.58 | | | | | | | | | | | | | | | | | | | | | | | | | (8227) (all_56_2 = e1 & op(e2, e3) = e1) | (all_56_3 = e1
% 197.83/31.58 | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1)
% 197.83/31.58 | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.58 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (229), (233), (235),
% 197.83/31.58 | | | | | | | | | | | | | | | | | | | | | | | | | (7891), (8074), (8217), (8227), (function-axioms)
% 197.83/31.58 | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #766.
% 197.83/31.58 | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.58 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.83/31.58 | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.58 | | | | | | | | | | | | | | | | | | | | | | | | | (8228) (all_56_5 = e1 & op(e2, e1) = e1) | (all_56_10 =
% 197.83/31.58 | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e2, e0) = e1)
% 197.83/31.58 | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.58 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8228) gives:
% 197.83/31.58 | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.58 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.83/31.58 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.58 | | | | | | | | | | | | | | | | | | | | | | | | | | (8229) all_56_5 = e1 & op(e2, e1) = e1
% 197.83/31.58 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.58 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (8222), (8229) are inconsistent by sub-proof
% 197.83/31.58 | | | | | | | | | | | | | | | | | | | | | | | | | | #1510.
% 197.83/31.58 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.58 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.83/31.58 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.58 | | | | | | | | | | | | | | | | | | | | | | | | | | (8230) all_56_10 = e1 & op(e2, e0) = e1
% 197.83/31.58 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.58 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8230) implies:
% 197.83/31.58 | | | | | | | | | | | | | | | | | | | | | | | | | | (8231) all_56_10 = e1
% 197.83/31.58 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.58 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (218) gives:
% 197.83/31.58 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.58 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.83/31.58 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | (8232) (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_5 = e1
% 197.83/31.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e1)
% 197.83/31.58 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8232) gives:
% 197.83/31.58 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.83/31.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8233) all_56_4 = e1 & op(e3, e1) = e1
% 197.83/31.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8233) implies:
% 197.83/31.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8234) all_56_4 = e1
% 197.83/31.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (230), (234), (236),
% 197.83/31.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8074), (8226), (8234), (function-axioms) are
% 197.83/31.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1633.
% 197.83/31.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.83/31.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8235) all_56_5 = e1 & op(e2, e1) = e1
% 197.83/31.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (8222), (8235) are inconsistent by sub-proof
% 197.83/31.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1510.
% 197.83/31.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.83/31.58 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.58 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.83/31.58 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | (8236) (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_14 =
% 197.83/31.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e1) = e1)
% 197.83/31.58 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8236) gives:
% 197.83/31.58 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.83/31.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8237) all_56_8 = e1 & op(e1, e1) = e1
% 197.83/31.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8237) implies:
% 197.83/31.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8238) all_56_8 = e1
% 197.83/31.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8239) op(e1, e1) = e1
% 197.83/31.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (158), (162), (207),
% 197.83/31.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (208), (211), (213), (215), (217), (219), (222),
% 197.83/31.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (223), (224), (225), (226), (227), (228), (229),
% 197.83/31.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (230), (233), (235), (236), (7532), (7885),
% 197.83/31.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7886), (7891), (7901), (8074), (8209), (8217),
% 197.83/31.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8222), (8225), (8226), (8231), (8238), (8239),
% 197.83/31.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 197.83/31.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | #765.
% 197.83/31.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.83/31.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8240) all_56_14 = e1 & op(e0, e1) = e1
% 197.83/31.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8240) implies:
% 197.83/31.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8241) all_56_14 = e1
% 197.83/31.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (223) gives:
% 197.83/31.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.83/31.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8242) (all_56_2 = e2 & op(e2, e3) = e2) | (all_56_3 = e2
% 197.83/31.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e2)
% 197.83/31.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8242) gives:
% 197.83/31.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.83/31.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8243) all_56_2 = e2 & op(e2, e3) = e2
% 197.83/31.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8243) implies:
% 197.83/31.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8244) all_56_2 = e2
% 197.83/31.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (217) gives:
% 197.83/31.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.83/31.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8245) (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_5 = e0
% 197.83/31.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e0)
% 197.83/31.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8245) gives:
% 197.83/31.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.83/31.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8246) all_56_4 = e0 & op(e3, e1) = e0
% 197.83/31.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8246) implies:
% 197.83/31.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8247) all_56_4 = e0
% 197.83/31.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (219), (222), (223),
% 197.83/31.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (229), (233), (235), (7891), (8074), (8209),
% 197.83/31.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8217), (8222), (8241), (8244), (8247),
% 197.83/31.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 197.83/31.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #764.
% 197.83/31.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.83/31.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8248) all_56_5 = e0 & op(e2, e1) = e0
% 197.83/31.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8248) implies:
% 197.83/31.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8249) all_56_5 = e0
% 197.83/31.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (7), (8), (9), (222), (224), (7901),
% 197.83/31.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8244), (8249) are inconsistent by sub-proof
% 197.83/31.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1799.
% 197.83/31.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.83/31.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.83/31.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8250) (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_14 =
% 197.83/31.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0)
% 197.83/31.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8250) gives:
% 197.83/31.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.83/31.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8251) all_56_8 = e0 & op(e1, e1) = e0
% 197.83/31.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8251) implies:
% 197.83/31.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8252) op(e1, e1) = e0
% 197.83/31.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (230) gives:
% 197.83/31.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.83/31.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8253) (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_1 = e0
% 197.83/31.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e0)
% 197.83/31.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (226), (227), (228),
% 197.83/31.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7891), (8074), (8253), (function-axioms) are
% 197.83/31.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1311.
% 197.83/31.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.83/31.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8254) (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_9 = e0
% 197.83/31.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e0)
% 197.83/31.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8254) gives:
% 197.83/31.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.83/31.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8255) all_56_4 = e0 & op(e3, e1) = e0
% 197.83/31.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8255) implies:
% 197.83/31.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8256) all_56_4 = e0
% 197.83/31.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (219), (222), (223),
% 197.83/31.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (229), (233), (235), (7891), (8074), (8209),
% 197.83/31.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8217), (8222), (8241), (8244), (8256),
% 197.83/31.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 197.83/31.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #764.
% 197.83/31.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.83/31.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8257) all_56_9 = e0 & op(e3, e0) = e0
% 197.83/31.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8257) implies:
% 197.83/31.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8258) all_56_9 = e0
% 197.83/31.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (229) gives:
% 197.83/31.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.83/31.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8259) (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0
% 197.83/31.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e0)
% 197.83/31.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (8), (9), (222), (223), (7891),
% 197.83/31.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8074), (8222), (8259), (function-axioms) are
% 197.83/31.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #817.
% 197.83/31.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.83/31.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8260) (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 =
% 197.83/31.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e3) = e0)
% 197.83/31.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8260) gives:
% 197.83/31.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.83/31.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8261) all_56_6 = e0 & op(e1, e3) = e0
% 197.83/31.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (226), (227), (228),
% 197.83/31.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7891), (8217), (8225), (8261), (function-axioms)
% 197.83/31.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1316.
% 197.83/31.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.83/31.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8262) all_56_12 = e0 & op(e0, e3) = e0
% 197.83/31.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8262) implies:
% 197.83/31.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8263) op(e0, e3) = e0
% 197.83/31.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (208) gives:
% 197.83/31.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.83/31.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8264) (all_56_12 = e2 & op(e0, e3) = e2) | (all_56_13 =
% 197.83/31.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e2)
% 197.83/31.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8264) gives:
% 197.83/31.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.83/31.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8265) all_56_12 = e2 & op(e0, e3) = e2
% 197.83/31.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8265) implies:
% 197.83/31.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8266) op(e0, e3) = e2
% 197.83/31.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (8263), (8266), (function-axioms) are
% 197.83/31.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1655.
% 197.83/31.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.83/31.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8267) all_56_13 = e2 & op(e0, e2) = e2
% 197.83/31.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (211) gives:
% 197.83/31.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.83/31.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8268) (all_56_9 = e2 & op(e3, e0) = e2) | (all_56_10 =
% 197.83/31.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2)
% 197.83/31.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8268) gives:
% 197.83/31.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.83/31.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8269) all_56_9 = e2 & op(e3, e0) = e2
% 197.83/31.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (8), (9), (222), (223), (7891),
% 197.83/31.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8222), (8244), (8258), (8269), (function-axioms)
% 197.83/31.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #775.
% 197.83/31.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.83/31.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8270) all_56_10 = e2 & op(e2, e0) = e2
% 197.83/31.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8270) implies:
% 197.83/31.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8271) all_56_10 = e2
% 197.83/31.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (8231), (8271) imply:
% 197.83/31.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8272) e2 = e1
% 197.83/31.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (8244), (8272) imply:
% 197.83/31.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8273) all_56_2 = e1
% 197.83/31.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (229), (233), (235),
% 197.83/31.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8074), (8217), (8273), (function-axioms) are
% 197.83/31.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1738.
% 197.83/31.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.83/31.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.83/31.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8274) (all_56_11 = e2 & op(e1, e0) = e2) | (all_56_15 =
% 197.83/31.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = e2)
% 197.83/31.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8274) gives:
% 197.83/31.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.83/31.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8275) all_56_11 = e2 & op(e1, e0) = e2
% 197.83/31.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8275) implies:
% 197.83/31.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8276) all_56_11 = e2
% 197.83/31.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (214) gives:
% 197.83/31.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.83/31.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8277) (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_7 = e1
% 197.83/31.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e1)
% 197.83/31.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8277) gives:
% 197.83/31.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.83/31.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8278) all_56_6 = e1 & op(e1, e3) = e1
% 197.83/31.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8278) implies:
% 197.83/31.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8279) op(e1, e3) = e1
% 197.83/31.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (163), (8067), (8078), (8279), (function-axioms)
% 197.83/31.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1750.
% 197.83/31.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.83/31.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8280) all_56_7 = e1 & op(e1, e2) = e1
% 197.83/31.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8267) implies:
% 197.83/31.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8281) all_56_13 = e2
% 197.83/31.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8280) implies:
% 197.83/31.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8282) all_56_7 = e1
% 197.83/31.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e0, e3, e1,
% 197.83/31.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1, simplifying with (8209), (8252) gives:
% 197.83/31.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8283) e3 = e0
% 197.83/31.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (8225), (8283) imply:
% 197.83/31.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8284) all_56_1 = e0
% 197.83/31.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8), (9), (228), (7891), (8281), (8282),
% 197.83/31.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8284), (function-axioms) are inconsistent by
% 197.83/31.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #793.
% 197.83/31.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.83/31.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.83/31.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8285) (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_11 =
% 197.83/31.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e1, e0) = e1)
% 197.83/31.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8285) gives:
% 197.83/31.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.83/31.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8286) all_56_8 = e1 & op(e1, e1) = e1
% 197.83/31.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8286) implies:
% 197.83/31.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8287) all_56_8 = e1
% 197.83/31.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8288) op(e1, e1) = e1
% 197.83/31.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (158), (162), (207),
% 197.83/31.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (208), (211), (213), (215), (217), (219), (222),
% 197.83/31.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (223), (224), (225), (226), (227), (228), (229),
% 197.83/31.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (230), (233), (235), (236), (7532), (7885),
% 197.83/31.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7886), (7891), (7901), (8074), (8209), (8217),
% 197.83/31.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8222), (8225), (8226), (8231), (8287), (8288),
% 197.83/31.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 197.83/31.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #765.
% 197.83/31.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.83/31.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8289) all_56_11 = e1 & op(e1, e0) = e1
% 197.83/31.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8289) implies:
% 197.83/31.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8290) all_56_11 = e1
% 197.83/31.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (8276), (8290) imply:
% 197.83/31.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8291) e2 = e1
% 197.83/31.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (8291) implies:
% 197.83/31.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8292) e2 = e1
% 197.83/31.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (8244), (8292) imply:
% 197.83/31.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8293) all_56_2 = e1
% 197.83/31.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (229), (233), (235),
% 197.83/31.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8074), (8217), (8293), (function-axioms) are
% 197.83/31.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1738.
% 197.83/31.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.83/31.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.83/31.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.83/31.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8294) all_56_15 = e2 & op(e0, e0) = e2
% 197.83/31.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8294) implies:
% 197.83/31.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8295) op(e0, e0) = e2
% 197.83/31.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (7532), (8295), (function-axioms) are
% 197.83/31.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1838.
% 197.83/31.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.83/31.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.83/31.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.83/31.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.83/31.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8296) (all_56_14 = e2 & op(e0, e1) = e2) | (all_56_15 =
% 197.83/31.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = e2)
% 197.83/31.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (229), (233), (235),
% 197.83/31.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7532), (8074), (8217), (8241), (8244), (8296),
% 197.83/31.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 197.83/31.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #779.
% 197.83/31.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.83/31.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.83/31.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.83/31.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.83/31.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.83/31.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.83/31.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8297) all_56_14 = e0 & op(e0, e1) = e0
% 197.83/31.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8297) implies:
% 197.83/31.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8298) all_56_14 = e0
% 197.83/31.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (8241), (8298) imply:
% 197.83/31.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8299) e1 = e0
% 197.83/31.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (8231), (8299) imply:
% 197.83/31.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8300) all_56_10 = e0
% 197.83/31.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (8), (222), (7891), (8222), (8244),
% 197.83/31.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8300), (function-axioms) are inconsistent by
% 197.83/31.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #805.
% 197.83/31.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.83/31.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.83/31.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.83/31.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8301) all_56_3 = e2 & op(e2, e2) = e2
% 197.83/31.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8301) implies:
% 197.83/31.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8302) op(e2, e2) = e2
% 197.83/31.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (7891), (8302), (function-axioms) are
% 197.83/31.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1960.
% 197.83/31.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.83/31.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.83/31.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8303) (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_10 =
% 197.83/31.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2)
% 197.83/31.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (9), (8222), (8231), (8303) are inconsistent
% 197.83/31.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #784.
% 197.83/31.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.83/31.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.83/31.61 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.61 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.83/31.61 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.61 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.83/31.61 | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.61 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.83/31.61 | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.61 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.83/31.61 | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.61 | | | | | | | | | | | | | | | | | | | | | | | | (8304) all_56_3 = e3 & op(e2, e2) = e3
% 197.83/31.61 | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.61 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8304) implies:
% 197.83/31.61 | | | | | | | | | | | | | | | | | | | | | | | | (8305) op(e2, e2) = e3
% 197.83/31.61 | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.61 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (7891), (8305), (function-axioms) are
% 197.83/31.61 | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1661.
% 197.83/31.61 | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.61 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.83/31.61 | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.61 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.83/31.61 | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.61 | | | | | | | | | | | | | | | | | | | | | | | (8306) (all_56_7 = e3 & op(e1, e2) = e3) | (all_56_13 =
% 197.83/31.61 | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e2) = e3)
% 197.83/31.61 | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.61 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (162), (206), (207),
% 197.83/31.61 | | | | | | | | | | | | | | | | | | | | | | | (208), (7532), (8207), (8306), (function-axioms)
% 197.83/31.61 | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #869.
% 197.83/31.61 | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.61 | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.83/31.61 | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.61 | | | | | | | | | | | | | | | | | | | | | End of split
% 197.83/31.61 | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.61 | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.83/31.61 | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.61 | | | | | | | | | | | | | | | | | | | | | (8307) (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 =
% 197.83/31.61 | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e1) = e3)
% 197.83/31.61 | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.61 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8307) gives:
% 197.83/31.61 | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.61 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.83/31.61 | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.62 | | | | | | | | | | | | | | | | | | | | | | (8308) all_56_8 = e3 & op(e1, e1) = e3
% 197.83/31.62 | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.62 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8308) implies:
% 197.83/31.62 | | | | | | | | | | | | | | | | | | | | | | (8309) all_56_8 = e3
% 197.83/31.62 | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.62 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (45), (136), (145),
% 197.83/31.62 | | | | | | | | | | | | | | | | | | | | | | (157), (158), (159), (160), (162), (163), (164),
% 197.83/31.62 | | | | | | | | | | | | | | | | | | | | | | (165), (167), (168), (169), (170), (206), (207),
% 197.83/31.62 | | | | | | | | | | | | | | | | | | | | | | (208), (210), (213), (214), (215), (216), (217),
% 197.83/31.62 | | | | | | | | | | | | | | | | | | | | | | (218), (219), (222), (223), (224), (225), (226),
% 197.83/31.62 | | | | | | | | | | | | | | | | | | | | | | (227), (228), (229), (230), (233), (234), (235),
% 197.83/31.62 | | | | | | | | | | | | | | | | | | | | | | (236), (238), (239), (371), (7523), (7524),
% 197.83/31.62 | | | | | | | | | | | | | | | | | | | | | | (7529), (7532), (7541), (7552), (7553), (7880),
% 197.83/31.62 | | | | | | | | | | | | | | | | | | | | | | (7884), (7885), (7886), (7888), (7891), (7896),
% 197.83/31.62 | | | | | | | | | | | | | | | | | | | | | | (7905), (7908), (7913), (8067), (8069), (8070),
% 197.83/31.62 | | | | | | | | | | | | | | | | | | | | | | (8072), (8074), (8078), (8202), (8203), (8208),
% 197.83/31.62 | | | | | | | | | | | | | | | | | | | | | | (8209), (8213), (8214), (8217), (8309),
% 197.83/31.62 | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 197.83/31.62 | | | | | | | | | | | | | | | | | | | | | | #746.
% 197.83/31.62 | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.62 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.83/31.62 | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.62 | | | | | | | | | | | | | | | | | | | | | | (8310) all_56_14 = e3 & op(e0, e1) = e3
% 197.83/31.62 | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.62 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (157), (7528), (8310), (function-axioms) are
% 197.83/31.62 | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1839.
% 197.83/31.62 | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.62 | | | | | | | | | | | | | | | | | | | | | End of split
% 197.83/31.62 | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.62 | | | | | | | | | | | | | | | | | | | | End of split
% 197.83/31.62 | | | | | | | | | | | | | | | | | | | |
% 197.83/31.62 | | | | | | | | | | | | | | | | | | | Case 2:
% 197.83/31.62 | | | | | | | | | | | | | | | | | | | |
% 197.83/31.62 | | | | | | | | | | | | | | | | | | | | (8311) all_56_7 = e3 & op(e1, e2) = e3
% 197.83/31.62 | | | | | | | | | | | | | | | | | | | |
% 197.83/31.62 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (162), (8207), (8311), (function-axioms) are
% 197.83/31.62 | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1827.
% 197.83/31.62 | | | | | | | | | | | | | | | | | | | |
% 197.83/31.62 | | | | | | | | | | | | | | | | | | | End of split
% 197.83/31.62 | | | | | | | | | | | | | | | | | | |
% 197.83/31.62 | | | | | | | | | | | | | | | | | | Case 2:
% 197.83/31.62 | | | | | | | | | | | | | | | | | | |
% 197.83/31.62 | | | | | | | | | | | | | | | | | | | (8312) (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_11 =
% 197.83/31.62 | | | | | | | | | | | | | | | | | | | e3 & op(e1, e0) = e3)
% 197.83/31.62 | | | | | | | | | | | | | | | | | | |
% 197.83/31.62 | | | | | | | | | | | | | | | | | | | BETA: splitting (8312) gives:
% 197.83/31.62 | | | | | | | | | | | | | | | | | | |
% 197.83/31.62 | | | | | | | | | | | | | | | | | | | Case 1:
% 197.83/31.62 | | | | | | | | | | | | | | | | | | | |
% 197.83/31.62 | | | | | | | | | | | | | | | | | | | | (8313) all_56_8 = e3 & op(e1, e1) = e3
% 197.83/31.62 | | | | | | | | | | | | | | | | | | | |
% 197.83/31.62 | | | | | | | | | | | | | | | | | | | | ALPHA: (8313) implies:
% 197.83/31.62 | | | | | | | | | | | | | | | | | | | | (8314) all_56_8 = e3
% 197.83/31.62 | | | | | | | | | | | | | | | | | | | |
% 197.83/31.62 | | | | | | | | | | | | | | | | | | | | BETA: splitting (235) gives:
% 197.83/31.62 | | | | | | | | | | | | | | | | | | | |
% 197.83/31.62 | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.83/31.62 | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.62 | | | | | | | | | | | | | | | | | | | | | (8315) (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_2 = e3
% 197.83/31.62 | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e3)
% 197.83/31.62 | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.62 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8315) gives:
% 197.83/31.62 | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.62 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.83/31.62 | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.62 | | | | | | | | | | | | | | | | | | | | | | (8316) all_56_0 = e3 & op(e3, e3) = e3
% 197.83/31.62 | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.62 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8316) implies:
% 197.83/31.62 | | | | | | | | | | | | | | | | | | | | | | (8317) op(e3, e3) = e3
% 197.83/31.62 | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.62 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (8074), (8317), (function-axioms) are
% 197.83/31.62 | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1924.
% 197.83/31.62 | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.62 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.83/31.62 | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.62 | | | | | | | | | | | | | | | | | | | | | | (8318) all_56_2 = e3 & op(e2, e3) = e3
% 197.83/31.62 | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.62 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (8), (9), (45), (136), (145),
% 197.83/31.62 | | | | | | | | | | | | | | | | | | | | | | (157), (158), (159), (160), (162), (163), (164),
% 197.83/31.62 | | | | | | | | | | | | | | | | | | | | | | (165), (167), (168), (169), (170), (206), (207),
% 197.83/31.62 | | | | | | | | | | | | | | | | | | | | | | (208), (210), (213), (214), (216), (217), (218),
% 197.83/31.62 | | | | | | | | | | | | | | | | | | | | | | (219), (222), (223), (224), (225), (226), (227),
% 197.83/31.62 | | | | | | | | | | | | | | | | | | | | | | (228), (229), (230), (233), (234), (235), (236),
% 197.83/31.62 | | | | | | | | | | | | | | | | | | | | | | (238), (239), (371), (7523), (7524), (7529),
% 197.83/31.62 | | | | | | | | | | | | | | | | | | | | | | (7532), (7541), (7552), (7553), (7880), (7884),
% 197.83/31.62 | | | | | | | | | | | | | | | | | | | | | | (7885), (7886), (7888), (7891), (7896), (7905),
% 197.83/31.62 | | | | | | | | | | | | | | | | | | | | | | (7908), (7913), (8067), (8069), (8070), (8072),
% 197.83/31.62 | | | | | | | | | | | | | | | | | | | | | | (8074), (8078), (8202), (8203), (8208), (8209),
% 197.83/31.62 | | | | | | | | | | | | | | | | | | | | | | (8213), (8214), (8314), (8318), (function-axioms)
% 197.83/31.62 | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #747.
% 197.83/31.62 | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.62 | | | | | | | | | | | | | | | | | | | | | End of split
% 197.83/31.62 | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.62 | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.83/31.62 | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.62 | | | | | | | | | | | | | | | | | | | | | (8319) (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_12 =
% 197.83/31.62 | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e3) = e3)
% 197.83/31.62 | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.62 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8319) gives:
% 197.83/31.62 | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.62 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.83/31.62 | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.62 | | | | | | | | | | | | | | | | | | | | | | (8320) all_56_6 = e3 & op(e1, e3) = e3
% 197.83/31.62 | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.62 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8320) implies:
% 197.83/31.62 | | | | | | | | | | | | | | | | | | | | | | (8321) all_56_6 = e3
% 197.83/31.62 | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.62 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (45), (136), (145),
% 197.83/31.62 | | | | | | | | | | | | | | | | | | | | | | (157), (158), (159), (160), (162), (163), (164),
% 197.83/31.62 | | | | | | | | | | | | | | | | | | | | | | (165), (167), (168), (169), (170), (206), (207),
% 197.83/31.62 | | | | | | | | | | | | | | | | | | | | | | (208), (210), (213), (214), (215), (216), (217),
% 197.83/31.62 | | | | | | | | | | | | | | | | | | | | | | (218), (219), (222), (223), (224), (225), (226),
% 197.83/31.62 | | | | | | | | | | | | | | | | | | | | | | (227), (228), (229), (230), (233), (234), (235),
% 197.83/31.62 | | | | | | | | | | | | | | | | | | | | | | (236), (238), (239), (371), (7523), (7524),
% 197.83/31.62 | | | | | | | | | | | | | | | | | | | | | | (7529), (7532), (7541), (7552), (7553), (7880),
% 197.83/31.62 | | | | | | | | | | | | | | | | | | | | | | (7884), (7885), (7886), (7888), (7891), (7896),
% 197.83/31.62 | | | | | | | | | | | | | | | | | | | | | | (7905), (7908), (7913), (8067), (8069), (8070),
% 197.83/31.62 | | | | | | | | | | | | | | | | | | | | | | (8072), (8074), (8078), (8202), (8203), (8208),
% 197.83/31.62 | | | | | | | | | | | | | | | | | | | | | | (8209), (8213), (8214), (8314), (8321),
% 197.83/31.62 | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 197.83/31.62 | | | | | | | | | | | | | | | | | | | | | | #746.
% 197.83/31.62 | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.62 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.83/31.62 | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.62 | | | | | | | | | | | | | | | | | | | | | | (8322) all_56_12 = e3 & op(e0, e3) = e3
% 197.83/31.62 | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.62 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8322) implies:
% 197.83/31.62 | | | | | | | | | | | | | | | | | | | | | | (8323) all_56_12 = e3
% 197.83/31.62 | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.62 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (206), (207), (208),
% 197.83/31.62 | | | | | | | | | | | | | | | | | | | | | | (7532), (8323), (function-axioms) are inconsistent
% 197.83/31.62 | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1442.
% 197.83/31.62 | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.62 | | | | | | | | | | | | | | | | | | | | | End of split
% 197.83/31.62 | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.62 | | | | | | | | | | | | | | | | | | | | End of split
% 197.83/31.62 | | | | | | | | | | | | | | | | | | | |
% 197.83/31.62 | | | | | | | | | | | | | | | | | | | Case 2:
% 197.83/31.62 | | | | | | | | | | | | | | | | | | | |
% 197.83/31.62 | | | | | | | | | | | | | | | | | | | | (8324) all_56_11 = e3 & op(e1, e0) = e3
% 197.83/31.62 | | | | | | | | | | | | | | | | | | | |
% 197.83/31.62 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (160), (7531), (8324), (function-axioms) are
% 197.83/31.62 | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1762.
% 197.83/31.62 | | | | | | | | | | | | | | | | | | | |
% 197.83/31.62 | | | | | | | | | | | | | | | | | | | End of split
% 197.83/31.62 | | | | | | | | | | | | | | | | | | |
% 197.83/31.62 | | | | | | | | | | | | | | | | | | End of split
% 197.83/31.62 | | | | | | | | | | | | | | | | | |
% 197.83/31.62 | | | | | | | | | | | | | | | | | End of split
% 197.83/31.62 | | | | | | | | | | | | | | | | |
% 197.83/31.62 | | | | | | | | | | | | | | | | End of split
% 197.83/31.62 | | | | | | | | | | | | | | | |
% 197.83/31.62 | | | | | | | | | | | | | | | End of split
% 197.83/31.62 | | | | | | | | | | | | | | |
% 197.83/31.62 | | | | | | | | | | | | | | End of split
% 197.83/31.62 | | | | | | | | | | | | | |
% 197.83/31.62 | | | | | | | | | | | | | End of split
% 197.83/31.62 | | | | | | | | | | | | |
% 197.83/31.62 | | | | | | | | | | | | Case 2:
% 197.83/31.62 | | | | | | | | | | | | |
% 197.83/31.62 | | | | | | | | | | | | | (8325) (all_56_5 = e0 & op(e2, e1) = e0) | (all_56_10 =
% 197.83/31.62 | | | | | | | | | | | | | e0 & op(e2, e0) = e0)
% 197.83/31.62 | | | | | | | | | | | | |
% 197.83/31.62 | | | | | | | | | | | | | BETA: splitting (8325) gives:
% 197.83/31.62 | | | | | | | | | | | | |
% 197.83/31.62 | | | | | | | | | | | | | Case 1:
% 197.83/31.62 | | | | | | | | | | | | | |
% 197.83/31.62 | | | | | | | | | | | | | | (8326) all_56_5 = e0 & op(e2, e1) = e0
% 197.83/31.62 | | | | | | | | | | | | | |
% 197.83/31.62 | | | | | | | | | | | | | | ALPHA: (8326) implies:
% 197.83/31.62 | | | | | | | | | | | | | | (8327) all_56_5 = e0
% 197.83/31.62 | | | | | | | | | | | | | |
% 197.83/31.62 | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (158), (162), (222),
% 197.83/31.62 | | | | | | | | | | | | | | (223), (224), (225), (226), (227), (228), (7885),
% 197.83/31.62 | | | | | | | | | | | | | | (7886), (7891), (8327), (function-axioms) are
% 197.83/31.62 | | | | | | | | | | | | | | inconsistent by sub-proof #1465.
% 197.83/31.62 | | | | | | | | | | | | | |
% 197.83/31.62 | | | | | | | | | | | | | Case 2:
% 197.83/31.62 | | | | | | | | | | | | | |
% 197.83/31.62 | | | | | | | | | | | | | | (8328) all_56_10 = e0 & op(e2, e0) = e0
% 197.83/31.62 | | | | | | | | | | | | | |
% 197.83/31.62 | | | | | | | | | | | | | | REF_CLOSE: (164), (7888), (8328), (function-axioms) are
% 197.83/31.62 | | | | | | | | | | | | | | inconsistent by sub-proof #1263.
% 197.83/31.62 | | | | | | | | | | | | | |
% 197.83/31.62 | | | | | | | | | | | | | End of split
% 197.83/31.62 | | | | | | | | | | | | |
% 197.83/31.62 | | | | | | | | | | | | End of split
% 197.83/31.62 | | | | | | | | | | | |
% 197.83/31.62 | | | | | | | | | | | End of split
% 197.83/31.62 | | | | | | | | | | |
% 197.83/31.62 | | | | | | | | | | End of split
% 197.83/31.62 | | | | | | | | | |
% 197.83/31.62 | | | | | | | | | Case 2:
% 197.83/31.62 | | | | | | | | | |
% 197.83/31.62 | | | | | | | | | | (8329) all_16_2 = e3
% 197.83/31.62 | | | | | | | | | | (8330) op(e3, e2) = all_16_1 & $i(all_16_1) & ( ~
% 197.83/31.62 | | | | | | | | | | (all_16_1 = e1) | ( ~ (all_16_0 = e0) & op(e1,
% 197.83/31.62 | | | | | | | | | | e3) = all_16_0 & $i(all_16_0)))
% 197.83/31.62 | | | | | | | | | |
% 197.83/31.62 | | | | | | | | | | ALPHA: (8330) implies:
% 197.83/31.62 | | | | | | | | | | (8331) op(e3, e2) = all_16_1
% 197.83/31.62 | | | | | | | | | | (8332) ~ (all_16_1 = e1) | ( ~ (all_16_0 = e0) & op(e1,
% 197.83/31.62 | | | | | | | | | | e3) = all_16_0 & $i(all_16_0))
% 197.83/31.62 | | | | | | | | | |
% 197.83/31.62 | | | | | | | | | | COMBINE_EQS: (328), (8329) imply:
% 197.83/31.62 | | | | | | | | | | (8333) all_6_2 = e3
% 197.83/31.62 | | | | | | | | | |
% 197.83/31.62 | | | | | | | | | | SIMP: (8333) implies:
% 197.83/31.62 | | | | | | | | | | (8334) all_6_2 = e3
% 197.83/31.62 | | | | | | | | | |
% 197.83/31.62 | | | | | | | | | | COMBINE_EQS: (332), (8334) imply:
% 197.83/31.62 | | | | | | | | | | (8335) all_38_2 = e3
% 197.83/31.62 | | | | | | | | | |
% 197.83/31.62 | | | | | | | | | | REDUCE: (348), (8334) imply:
% 197.83/31.62 | | | | | | | | | | (8336) ~ (all_52_1 = e3)
% 197.83/31.62 | | | | | | | | | |
% 197.83/31.62 | | | | | | | | | | REDUCE: (351), (8334) imply:
% 197.83/31.62 | | | | | | | | | | (8337) ~ (all_52_4 = e3)
% 197.83/31.62 | | | | | | | | | |
% 197.83/31.62 | | | | | | | | | | REDUCE: (353), (8334) imply:
% 197.83/31.62 | | | | | | | | | | (8338) ~ (all_52_6 = e3)
% 197.83/31.62 | | | | | | | | | |
% 197.83/31.62 | | | | | | | | | | REDUCE: (357), (8334) imply:
% 197.83/31.62 | | | | | | | | | | (8339) ~ (all_52_9 = e3)
% 197.83/31.62 | | | | | | | | | |
% 197.83/31.62 | | | | | | | | | | REDUCE: (39), (8334) imply:
% 197.83/31.62 | | | | | | | | | | (8340) op(e2, e2) = e3
% 197.83/31.62 | | | | | | | | | |
% 197.83/31.62 | | | | | | | | | | BETA: splitting (88) gives:
% 197.83/31.62 | | | | | | | | | |
% 197.83/31.62 | | | | | | | | | | Case 1:
% 197.83/31.62 | | | | | | | | | | |
% 197.83/31.62 | | | | | | | | | | | (8341) ~ (all_38_2 = e3)
% 197.83/31.62 | | | | | | | | | | |
% 197.83/31.62 | | | | | | | | | | | REDUCE: (8335), (8341) imply:
% 197.83/31.62 | | | | | | | | | | | (8342) $false
% 197.83/31.62 | | | | | | | | | | |
% 197.83/31.62 | | | | | | | | | | | CLOSE: (8342) is inconsistent.
% 197.83/31.62 | | | | | | | | | | |
% 197.83/31.62 | | | | | | | | | | Case 2:
% 197.83/31.62 | | | | | | | | | | |
% 197.83/31.62 | | | | | | | | | | | (8343) op(e3, e2) = all_38_1 & $i(all_38_1) & ( ~
% 197.83/31.62 | | | | | | | | | | | (all_38_1 = e0) | ( ~ (all_38_0 = e1) & op(e0,
% 197.83/31.62 | | | | | | | | | | | e3) = all_38_0 & $i(all_38_0)))
% 197.83/31.62 | | | | | | | | | | |
% 197.83/31.62 | | | | | | | | | | | ALPHA: (8343) implies:
% 197.83/31.62 | | | | | | | | | | | (8344) op(e3, e2) = all_38_1
% 197.83/31.62 | | | | | | | | | | |
% 197.83/31.62 | | | | | | | | | | | BETA: splitting (228) gives:
% 197.83/31.62 | | | | | | | | | | |
% 197.83/31.62 | | | | | | | | | | | Case 1:
% 197.83/31.62 | | | | | | | | | | | |
% 197.83/31.62 | | | | | | | | | | | | (8345) (all_56_1 = e3 & op(e3, e2) = e3) | (all_56_3 = e3
% 197.83/31.62 | | | | | | | | | | | | & op(e2, e2) = e3)
% 197.83/31.62 | | | | | | | | | | | |
% 197.83/31.62 | | | | | | | | | | | | BETA: splitting (8345) gives:
% 197.83/31.62 | | | | | | | | | | | |
% 197.83/31.62 | | | | | | | | | | | | Case 1:
% 197.83/31.62 | | | | | | | | | | | | |
% 197.83/31.62 | | | | | | | | | | | | | (8346) all_56_1 = e3 & op(e3, e2) = e3
% 197.83/31.62 | | | | | | | | | | | | |
% 197.83/31.62 | | | | | | | | | | | | | ALPHA: (8346) implies:
% 197.83/31.62 | | | | | | | | | | | | | (8347) op(e3, e2) = e3
% 197.83/31.62 | | | | | | | | | | | | |
% 197.83/31.62 | | | | | | | | | | | | | REF_CLOSE: (170), (8337), (8347), (function-axioms) are
% 197.83/31.62 | | | | | | | | | | | | | inconsistent by sub-proof #1931.
% 197.83/31.62 | | | | | | | | | | | | |
% 197.83/31.62 | | | | | | | | | | | | Case 2:
% 197.83/31.62 | | | | | | | | | | | | |
% 197.83/31.62 | | | | | | | | | | | | | (8348) all_56_3 = e3 & op(e2, e2) = e3
% 197.83/31.62 | | | | | | | | | | | | |
% 197.83/31.62 | | | | | | | | | | | | | ALPHA: (8348) implies:
% 197.83/31.62 | | | | | | | | | | | | | (8349) all_56_3 = e3
% 197.83/31.62 | | | | | | | | | | | | |
% 197.83/31.62 | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_4,
% 197.83/31.62 | | | | | | | | | | | | | all_16_1, e2, e3, simplifying with (170), (8331)
% 197.83/31.62 | | | | | | | | | | | | | gives:
% 197.83/31.62 | | | | | | | | | | | | | (8350) all_52_4 = all_16_1
% 197.83/31.62 | | | | | | | | | | | | |
% 197.83/31.62 | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_4,
% 197.83/31.62 | | | | | | | | | | | | | all_38_1, e2, e3, simplifying with (170), (8344)
% 197.83/31.62 | | | | | | | | | | | | | gives:
% 197.83/31.62 | | | | | | | | | | | | | (8351) all_52_4 = all_38_1
% 197.83/31.62 | | | | | | | | | | | | |
% 197.83/31.62 | | | | | | | | | | | | | COMBINE_EQS: (8350), (8351) imply:
% 197.83/31.62 | | | | | | | | | | | | | (8352) all_38_1 = all_16_1
% 197.83/31.62 | | | | | | | | | | | | |
% 197.83/31.62 | | | | | | | | | | | | | SIMP: (8352) implies:
% 197.83/31.62 | | | | | | | | | | | | | (8353) all_38_1 = all_16_1
% 197.83/31.62 | | | | | | | | | | | | |
% 197.83/31.62 | | | | | | | | | | | | | REDUCE: (134), (8350) imply:
% 197.83/31.62 | | | | | | | | | | | | | (8354) ~ (all_52_8 = all_16_1)
% 197.83/31.62 | | | | | | | | | | | | |
% 197.83/31.62 | | | | | | | | | | | | | SIMP: (8354) implies:
% 197.83/31.62 | | | | | | | | | | | | | (8355) ~ (all_52_8 = all_16_1)
% 197.83/31.62 | | | | | | | | | | | | |
% 197.83/31.62 | | | | | | | | | | | | | REDUCE: (343), (8350) imply:
% 197.83/31.62 | | | | | | | | | | | | | (8356) ~ (all_16_1 = all_14_2)
% 197.83/31.62 | | | | | | | | | | | | |
% 197.83/31.62 | | | | | | | | | | | | | REDUCE: (7552), (8350) imply:
% 197.83/31.62 | | | | | | | | | | | | | (8357) ~ (all_16_1 = all_10_1)
% 197.83/31.62 | | | | | | | | | | | | |
% 197.83/31.62 | | | | | | | | | | | | | BETA: splitting (73) gives:
% 197.83/31.62 | | | | | | | | | | | | |
% 197.83/31.62 | | | | | | | | | | | | | Case 1:
% 197.83/31.62 | | | | | | | | | | | | | |
% 197.83/31.62 | | | | | | | | | | | | | | (8358) ~ (all_28_2 = e1)
% 197.83/31.62 | | | | | | | | | | | | | |
% 197.83/31.62 | | | | | | | | | | | | | | REDUCE: (315), (8358) imply:
% 197.83/31.62 | | | | | | | | | | | | | | (8359) ~ (all_14_2 = e1)
% 197.83/31.62 | | | | | | | | | | | | | |
% 197.83/31.62 | | | | | | | | | | | | | | BETA: splitting (79) gives:
% 197.83/31.62 | | | | | | | | | | | | | |
% 197.83/31.62 | | | | | | | | | | | | | | Case 1:
% 197.83/31.62 | | | | | | | | | | | | | | |
% 197.83/31.62 | | | | | | | | | | | | | | | (8360) ~ (all_32_2 = e3)
% 197.83/31.62 | | | | | | | | | | | | | | |
% 197.83/31.62 | | | | | | | | | | | | | | | REDUCE: (301), (8360) imply:
% 197.83/31.62 | | | | | | | | | | | | | | | (8361) ~ (all_4_2 = e3)
% 197.83/31.62 | | | | | | | | | | | | | | |
% 197.83/31.62 | | | | | | | | | | | | | | | BETA: splitting (216) gives:
% 197.83/31.62 | | | | | | | | | | | | | | |
% 197.83/31.62 | | | | | | | | | | | | | | | Case 1:
% 197.83/31.62 | | | | | | | | | | | | | | | |
% 197.83/31.62 | | | | | | | | | | | | | | | | (8362) (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_7 = e3
% 197.83/31.62 | | | | | | | | | | | | | | | | & op(e1, e2) = e3)
% 197.83/31.62 | | | | | | | | | | | | | | | |
% 197.83/31.62 | | | | | | | | | | | | | | | | BETA: splitting (8362) gives:
% 197.83/31.62 | | | | | | | | | | | | | | | |
% 197.83/31.62 | | | | | | | | | | | | | | | | Case 1:
% 197.83/31.62 | | | | | | | | | | | | | | | | |
% 197.83/31.62 | | | | | | | | | | | | | | | | | (8363) all_56_6 = e3 & op(e1, e3) = e3
% 197.83/31.62 | | | | | | | | | | | | | | | | |
% 197.83/31.62 | | | | | | | | | | | | | | | | | ALPHA: (8363) implies:
% 197.83/31.62 | | | | | | | | | | | | | | | | | (8364) all_56_6 = e3
% 197.83/31.62 | | | | | | | | | | | | | | | | | (8365) op(e1, e3) = e3
% 197.83/31.62 | | | | | | | | | | | | | | | | |
% 197.83/31.62 | | | | | | | | | | | | | | | | | BETA: splitting (194) gives:
% 197.83/31.62 | | | | | | | | | | | | | | | | |
% 197.83/31.62 | | | | | | | | | | | | | | | | | Case 1:
% 197.83/31.62 | | | | | | | | | | | | | | | | | |
% 197.83/31.62 | | | | | | | | | | | | | | | | | | (8366) all_54_10 = e3
% 197.83/31.62 | | | | | | | | | | | | | | | | | |
% 197.83/31.62 | | | | | | | | | | | | | | | | | | REF_CLOSE: (335), (8361), (8366) are inconsistent by
% 197.83/31.62 | | | | | | | | | | | | | | | | | | sub-proof #1974.
% 197.83/31.62 | | | | | | | | | | | | | | | | | |
% 197.83/31.62 | | | | | | | | | | | | | | | | | Case 2:
% 197.83/31.62 | | | | | | | | | | | | | | | | | |
% 197.83/31.62 | | | | | | | | | | | | | | | | | | (8367) ~ (all_54_10 = e3)
% 197.83/31.62 | | | | | | | | | | | | | | | | | | (8368) all_54_10 = e2 | all_54_10 = e1 | all_54_10 = e0
% 197.83/31.62 | | | | | | | | | | | | | | | | | |
% 197.83/31.62 | | | | | | | | | | | | | | | | | | BETA: splitting (8368) gives:
% 197.83/31.62 | | | | | | | | | | | | | | | | | |
% 197.83/31.62 | | | | | | | | | | | | | | | | | | Case 1:
% 197.83/31.62 | | | | | | | | | | | | | | | | | | |
% 197.83/31.62 | | | | | | | | | | | | | | | | | | | (8369) all_54_10 = e2
% 197.83/31.62 | | | | | | | | | | | | | | | | | | |
% 197.83/31.62 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (335), (375), (8369) are inconsistent by sub-proof
% 197.83/31.62 | | | | | | | | | | | | | | | | | | | #1973.
% 197.83/31.62 | | | | | | | | | | | | | | | | | | |
% 197.83/31.62 | | | | | | | | | | | | | | | | | | Case 2:
% 197.83/31.62 | | | | | | | | | | | | | | | | | | |
% 197.83/31.62 | | | | | | | | | | | | | | | | | | | (8370) ~ (all_54_10 = e2)
% 197.83/31.62 | | | | | | | | | | | | | | | | | | | (8371) all_54_10 = e1 | all_54_10 = e0
% 197.83/31.62 | | | | | | | | | | | | | | | | | | |
% 197.83/31.62 | | | | | | | | | | | | | | | | | | | BETA: splitting (8371) gives:
% 197.83/31.62 | | | | | | | | | | | | | | | | | | |
% 197.83/31.62 | | | | | | | | | | | | | | | | | | | Case 1:
% 197.83/31.62 | | | | | | | | | | | | | | | | | | | |
% 197.83/31.62 | | | | | | | | | | | | | | | | | | | | (8372) all_54_10 = e1
% 197.83/31.62 | | | | | | | | | | | | | | | | | | | |
% 197.83/31.62 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (335), (8372) imply:
% 197.83/31.62 | | | | | | | | | | | | | | | | | | | | (8373) all_4_2 = e1
% 197.83/31.62 | | | | | | | | | | | | | | | | | | | |
% 197.83/31.62 | | | | | | | | | | | | | | | | | | | | SIMP: (8373) implies:
% 197.83/31.62 | | | | | | | | | | | | | | | | | | | | (8374) all_4_2 = e1
% 197.83/31.62 | | | | | | | | | | | | | | | | | | | |
% 197.83/31.62 | | | | | | | | | | | | | | | | | | | | REDUCE: (349), (8374) imply:
% 197.83/31.62 | | | | | | | | | | | | | | | | | | | | (8375) ~ (all_52_2 = e1)
% 197.83/31.62 | | | | | | | | | | | | | | | | | | | |
% 197.83/31.62 | | | | | | | | | | | | | | | | | | | | REDUCE: (362), (8374) imply:
% 197.83/31.62 | | | | | | | | | | | | | | | | | | | | (8376) ~ (all_52_8 = e1)
% 197.83/31.62 | | | | | | | | | | | | | | | | | | | |
% 197.83/31.62 | | | | | | | | | | | | | | | | | | | | REDUCE: (367), (8374) imply:
% 197.83/31.62 | | | | | | | | | | | | | | | | | | | | (8377) ~ (all_52_14 = e1)
% 197.83/31.62 | | | | | | | | | | | | | | | | | | | |
% 197.83/31.62 | | | | | | | | | | | | | | | | | | | | REDUCE: (8361), (8374) imply:
% 197.83/31.62 | | | | | | | | | | | | | | | | | | | | (8378) ~ (e3 = e1)
% 197.83/31.62 | | | | | | | | | | | | | | | | | | | |
% 197.83/31.62 | | | | | | | | | | | | | | | | | | | | REDUCE: (375), (8374) imply:
% 197.83/31.62 | | | | | | | | | | | | | | | | | | | | (8379) ~ (e2 = e1)
% 197.83/31.62 | | | | | | | | | | | | | | | | | | | |
% 197.83/31.62 | | | | | | | | | | | | | | | | | | | | REDUCE: (36), (8374) imply:
% 197.83/31.62 | | | | | | | | | | | | | | | | | | | | (8380) op(e1, e1) = e1
% 197.83/31.62 | | | | | | | | | | | | | | | | | | | |
% 197.83/31.62 | | | | | | | | | | | | | | | | | | | | BETA: splitting (220) gives:
% 197.83/31.62 | | | | | | | | | | | | | | | | | | | |
% 197.83/31.62 | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.83/31.62 | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.62 | | | | | | | | | | | | | | | | | | | | | (8381) (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3
% 197.83/31.62 | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e3)
% 197.83/31.62 | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.62 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8381) gives:
% 197.83/31.62 | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.62 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.83/31.62 | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.62 | | | | | | | | | | | | | | | | | | | | | | (8382) all_56_4 = e3 & op(e3, e1) = e3
% 197.83/31.62 | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.62 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8382) implies:
% 197.83/31.62 | | | | | | | | | | | | | | | | | | | | | | (8383) all_56_4 = e3
% 197.83/31.62 | | | | | | | | | | | | | | | | | | | | | | (8384) op(e3, e1) = e3
% 197.83/31.62 | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.62 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_2, e3,
% 197.83/31.62 | | | | | | | | | | | | | | | | | | | | | | e3, e1, simplifying with (163), (8365) gives:
% 197.83/31.62 | | | | | | | | | | | | | | | | | | | | | | (8385) all_52_2 = e3
% 197.83/31.62 | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.62 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_8, e3,
% 197.83/31.62 | | | | | | | | | | | | | | | | | | | | | | e1, e3, simplifying with (169), (8384) gives:
% 197.83/31.62 | | | | | | | | | | | | | | | | | | | | | | (8386) all_52_8 = e3
% 197.83/31.62 | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.62 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8355), (8386) imply:
% 197.83/31.62 | | | | | | | | | | | | | | | | | | | | | | (8387) ~ (all_16_1 = e3)
% 197.83/31.62 | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.62 | | | | | | | | | | | | | | | | | | | | | | SIMP: (8387) implies:
% 197.83/31.62 | | | | | | | | | | | | | | | | | | | | | | (8388) ~ (all_16_1 = e3)
% 197.83/31.62 | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.62 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (345), (8386) imply:
% 197.83/31.62 | | | | | | | | | | | | | | | | | | | | | | (8389) ~ (all_14_2 = e3)
% 197.83/31.62 | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.62 | | | | | | | | | | | | | | | | | | | | | | SIMP: (8389) implies:
% 197.83/31.62 | | | | | | | | | | | | | | | | | | | | | | (8390) ~ (all_14_2 = e3)
% 197.83/31.62 | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.62 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7553), (8386) imply:
% 197.83/31.62 | | | | | | | | | | | | | | | | | | | | | | (8391) ~ (all_10_1 = e3)
% 197.83/31.62 | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.62 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (204) gives:
% 197.83/31.62 | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.62 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.83/31.62 | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.62 | | | | | | | | | | | | | | | | | | | | | | | (8392) all_54_0 = e3
% 197.83/31.62 | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.62 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (279), (8392) imply:
% 197.83/31.62 | | | | | | | | | | | | | | | | | | | | | | | (8393) all_14_2 = e3
% 197.83/31.62 | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.62 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8390), (8393) imply:
% 197.83/31.62 | | | | | | | | | | | | | | | | | | | | | | | (8394) $false
% 197.83/31.62 | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.62 | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (8394) is inconsistent.
% 197.83/31.62 | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.62 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.83/31.62 | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.62 | | | | | | | | | | | | | | | | | | | | | | | (8395) ~ (all_54_0 = e3)
% 197.83/31.62 | | | | | | | | | | | | | | | | | | | | | | | (8396) all_54_0 = e2 | all_54_0 = e1 | all_54_0 = e0
% 197.83/31.62 | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.62 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8396) gives:
% 197.83/31.62 | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.62 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.83/31.62 | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.62 | | | | | | | | | | | | | | | | | | | | | | | | (8397) all_54_0 = e2
% 197.83/31.62 | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.62 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (279), (8397) imply:
% 197.83/31.62 | | | | | | | | | | | | | | | | | | | | | | | | (8398) all_14_2 = e2
% 197.83/31.62 | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.62 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7561), (8398) imply:
% 197.83/31.62 | | | | | | | | | | | | | | | | | | | | | | | | (8399) $false
% 197.83/31.62 | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.62 | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (8399) is inconsistent.
% 197.83/31.62 | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.62 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.83/31.62 | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.62 | | | | | | | | | | | | | | | | | | | | | | | | (8400) ~ (all_54_0 = e2)
% 197.83/31.62 | | | | | | | | | | | | | | | | | | | | | | | | (8401) all_54_0 = e1 | all_54_0 = e0
% 197.83/31.62 | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.62 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8401) gives:
% 197.83/31.62 | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.62 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.83/31.62 | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.62 | | | | | | | | | | | | | | | | | | | | | | | | | (8402) all_54_0 = e1
% 197.83/31.62 | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.62 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (279), (8402) imply:
% 197.83/31.62 | | | | | | | | | | | | | | | | | | | | | | | | | (8403) all_14_2 = e1
% 197.83/31.62 | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.62 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8359), (8403) imply:
% 197.83/31.62 | | | | | | | | | | | | | | | | | | | | | | | | | (8404) $false
% 197.83/31.62 | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.62 | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (8404) is inconsistent.
% 197.83/31.62 | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.62 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.83/31.62 | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.62 | | | | | | | | | | | | | | | | | | | | | | | | | (8405) all_54_0 = e0
% 197.83/31.62 | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.62 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (279), (8405) imply:
% 197.83/31.62 | | | | | | | | | | | | | | | | | | | | | | | | | (8406) all_14_2 = e0
% 197.83/31.62 | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.62 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (341), (8406) imply:
% 197.83/31.62 | | | | | | | | | | | | | | | | | | | | | | | | | (8407) ~ (all_52_3 = e0)
% 197.83/31.62 | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.62 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8356), (8406) imply:
% 197.83/31.62 | | | | | | | | | | | | | | | | | | | | | | | | | (8408) ~ (all_16_1 = e0)
% 197.83/31.62 | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.62 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7559), (8406) imply:
% 197.83/31.62 | | | | | | | | | | | | | | | | | | | | | | | | | (8409) ~ (all_10_1 = e0)
% 197.83/31.62 | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.62 | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (8409) implies:
% 197.83/31.62 | | | | | | | | | | | | | | | | | | | | | | | | | (8410) ~ (all_10_1 = e0)
% 197.83/31.62 | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.62 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8390), (8406) imply:
% 197.83/31.62 | | | | | | | | | | | | | | | | | | | | | | | | | (8411) ~ (e3 = e0)
% 197.83/31.62 | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.62 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7561), (8406) imply:
% 197.83/31.62 | | | | | | | | | | | | | | | | | | | | | | | | | (8412) ~ (e2 = e0)
% 197.83/31.62 | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.62 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8359), (8406) imply:
% 197.83/31.62 | | | | | | | | | | | | | | | | | | | | | | | | | (8413) ~ (e1 = e0)
% 197.83/31.62 | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.62 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (51), (8406) imply:
% 197.83/31.62 | | | | | | | | | | | | | | | | | | | | | | | | | (8414) op(e3, e3) = e0
% 197.83/31.62 | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.62 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (219) gives:
% 197.83/31.62 | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.62 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.83/31.62 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.62 | | | | | | | | | | | | | | | | | | | | | | | | | | (8415) (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2
% 197.83/31.62 | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e2)
% 197.83/31.62 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.62 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8415) gives:
% 197.83/31.62 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.62 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.83/31.62 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | (8416) all_56_4 = e2 & op(e3, e1) = e2
% 197.83/31.62 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8416) implies:
% 197.83/31.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | (8417) all_56_4 = e2
% 197.83/31.62 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (8383), (8417) imply:
% 197.83/31.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | (8418) e3 = e2
% 197.83/31.62 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (8418) implies:
% 197.83/31.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | (8419) e3 = e2
% 197.83/31.62 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9), (8419) imply:
% 197.83/31.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | (8420) $false
% 197.83/31.62 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (8420) is inconsistent.
% 197.83/31.62 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.62 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.83/31.62 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | (8421) all_56_5 = e2 & op(e2, e1) = e2
% 197.83/31.62 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8421) implies:
% 197.83/31.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | (8422) all_56_5 = e2
% 197.83/31.62 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (221) gives:
% 197.83/31.62 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.83/31.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8423) (all_56_2 = e0 & op(e2, e3) = e0) | (all_56_3 = e0
% 197.83/31.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e0)
% 197.83/31.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8423) gives:
% 197.83/31.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.83/31.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8424) all_56_2 = e0 & op(e2, e3) = e0
% 197.83/31.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8424) implies:
% 197.83/31.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8425) all_56_2 = e0
% 197.83/31.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (9), (163), (231), (233), (8364),
% 197.83/31.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8375), (8414), (8425), (function-axioms) are
% 197.83/31.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1178.
% 197.83/31.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.83/31.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8426) all_56_3 = e0 & op(e2, e2) = e0
% 197.83/31.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8426) implies:
% 197.83/31.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8427) op(e2, e2) = e0
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8340), (8427), (function-axioms) are
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1661.
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8428) (all_56_5 = e0 & op(e2, e1) = e0) | (all_56_10 =
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0)
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8428) gives:
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8429) all_56_5 = e0 & op(e2, e1) = e0
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (8422), (8429) are inconsistent by sub-proof
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #901.
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8430) all_56_10 = e0 & op(e2, e0) = e0
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8430) implies:
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8431) all_56_10 = e0
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8432) op(e2, e0) = e0
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (222) gives:
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8433) (all_56_2 = e1 & op(e2, e3) = e1) | (all_56_3 = e1
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1)
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8433) gives:
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8434) all_56_2 = e1 & op(e2, e3) = e1
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8434) implies:
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8435) all_56_2 = e1
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (210) gives:
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8436) (all_56_9 = e1 & op(e3, e0) = e1) | (all_56_10 =
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e2, e0) = e1)
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8436) gives:
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8437) all_56_9 = e1 & op(e3, e0) = e1
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8437) implies:
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8438) all_56_9 = e1
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (234) gives:
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8439) (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_1 = e2
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e2)
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8439) gives:
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8440) all_56_0 = e2 & op(e3, e3) = e2
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8440) implies:
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8441) op(e3, e3) = e2
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (8414), (8441), (function-axioms) are
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1964.
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8442) all_56_1 = e2 & op(e3, e2) = e2
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8442) implies:
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8443) all_56_1 = e2
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8444) op(e3, e2) = e2
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (233) gives:
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8445) (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e2)
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (8414), (8435), (8445),
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #745.
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8446) (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_12 =
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e3) = e2)
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8446) gives:
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8447) all_56_6 = e2 & op(e1, e3) = e2
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8447) implies:
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8448) all_56_6 = e2
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (8364), (8448) are inconsistent by sub-proof
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1820.
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8449) all_56_12 = e2 & op(e0, e3) = e2
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8449) implies:
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8450) all_56_12 = e2
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (207) gives:
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8451) (all_56_12 = e1 & op(e0, e3) = e1) | (all_56_13 =
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e2) = e1)
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8451) gives:
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8452) all_56_12 = e1 & op(e0, e3) = e1
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8452) implies:
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8453) all_56_12 = e1
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (8450), (8453) are inconsistent by sub-proof
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1656.
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8454) all_56_13 = e1 & op(e0, e2) = e1
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8454) implies:
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8455) all_56_13 = e1
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8456) op(e0, e2) = e1
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (225) gives:
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8457) (all_56_1 = e0 & op(e3, e2) = e0) | (all_56_3 = e0
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e0)
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (7), (8340), (8443), (8457),
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1110.
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8458) (all_56_7 = e0 & op(e1, e2) = e0) | (all_56_13 =
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0)
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8458) gives:
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8459) all_56_7 = e0 & op(e1, e2) = e0
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8459) implies:
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8460) op(e1, e2) = e0
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (215) gives:
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8461) (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_7 = e2
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e2)
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8461) gives:
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8462) all_56_6 = e2 & op(e1, e3) = e2
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8462) implies:
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8463) all_56_6 = e2
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (8364), (8463) are inconsistent by sub-proof
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1820.
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8464) all_56_7 = e2 & op(e1, e2) = e2
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8464) implies:
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8465) all_56_7 = e2
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (225), (8340), (8443), (8455),
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8465), (function-axioms) are inconsistent by
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1074.
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8466) (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_11 =
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e1, e0) = e2)
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8466) gives:
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8467) all_56_8 = e2 & op(e1, e1) = e2
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8467) implies:
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8468) op(e1, e1) = e2
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (8380), (8468), (function-axioms) are
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1957.
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8469) all_56_11 = e2 & op(e1, e0) = e2
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8469) implies:
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8470) op(e1, e0) = e2
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (238) gives:
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8471) (all_57_3 = e3 & ~ (all_57_1 = e2) & ~ (all_57_8
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_10 = e2) & ~ (all_57_12 =
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_14 = e0) & op(e3, e3) =
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e2) = e3 & op(e2, all_57_9) =
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_8 & op(e2, all_57_11) = all_57_10 &
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_13) = all_57_12 & op(e2,
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15) = all_57_14 & op(e2, e3) = all_57_9
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = all_57_11 & op(e2, e1) =
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_13 & op(e2, e0) = all_57_15 &
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_8) & $i(all_57_9) &
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & $i(all_57_11) & $i(all_57_12) &
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13) & $i(all_57_14) & $i(all_57_15)) |
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_5 = e3 & ~ (all_57_1 = e1) & ~
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_16 = e3) & ~ (all_57_18 = e2) & ~
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_22 = e0) & op(e3,
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_1 & op(e3, e1) = e3 & op(e1,
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17) = all_57_16 & op(e1, all_57_19) =
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_18 & op(e1, all_57_21) = all_57_20 &
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_23) = all_57_22 & op(e1, e3) =
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e1, e2) = all_57_19 & op(e1, e1)
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_21 & op(e1, e0) = all_57_23 &
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_16) & $i(all_57_17) &
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_19) & $i(all_57_20) &
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_22) & $i(all_57_23)) |
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_7 = e3 & ~ (all_57_1 = e0) & ~
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) & op(e3,
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_1 & op(e3, e0) = e3 & op(e0,
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25) = all_57_24 & op(e0, all_57_27) =
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e0, all_57_29) = all_57_28 &
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_31) = all_57_30 & op(e0, e3) =
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_27 & op(e0, e1)
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_29 & op(e0, e0) = all_57_31 &
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_24) & $i(all_57_25) &
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_27) & $i(all_57_28) &
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29) & $i(all_57_30) & $i(all_57_31)) |
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e2 & ~ (all_57_0 = e3) & ~ (all_57_2
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2) & ~ (all_57_4 = e1) & ~ (all_57_6 =
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_11 = e3) & op(e3, all_57_1) =
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_0 & op(e3, all_57_3) = all_57_2 & op(e3,
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_5) = all_57_4 & op(e3, all_57_7) =
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_6 & op(e3, e3) = all_57_1 & op(e3, e2) =
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 & op(e3, e1) = all_57_5 & op(e3, e0) =
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7 & op(e2, e3) = e2 & op(e2, e2) =
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_11 & $i(all_57_0) & $i(all_57_1) &
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_2) & $i(all_57_3) & $i(all_57_4) &
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11))
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8471) gives:
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8472) (all_57_3 = e3 & ~ (all_57_1 = e2) & ~ (all_57_8
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_10 = e2) & ~ (all_57_12 =
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_14 = e0) & op(e3, e3) =
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e2) = e3 & op(e2, all_57_9) =
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_8 & op(e2, all_57_11) = all_57_10 &
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_13) = all_57_12 & op(e2,
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15) = all_57_14 & op(e2, e3) = all_57_9
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = all_57_11 & op(e2, e1) =
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_13 & op(e2, e0) = all_57_15 &
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_8) & $i(all_57_9) &
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & $i(all_57_11) & $i(all_57_12) &
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13) & $i(all_57_14) & $i(all_57_15)) |
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_5 = e3 & ~ (all_57_1 = e1) & ~
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_16 = e3) & ~ (all_57_18 = e2) & ~
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_22 = e0) & op(e3,
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_1 & op(e3, e1) = e3 & op(e1,
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17) = all_57_16 & op(e1, all_57_19) =
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_18 & op(e1, all_57_21) = all_57_20 &
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_23) = all_57_22 & op(e1, e3) =
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e1, e2) = all_57_19 & op(e1, e1)
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_21 & op(e1, e0) = all_57_23 &
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_16) & $i(all_57_17) &
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_19) & $i(all_57_20) &
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_22) & $i(all_57_23))
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (8380), (8444), (8472), (function-axioms) are
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1370.
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8473) (all_57_7 = e3 & ~ (all_57_1 = e0) & ~
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) & op(e3,
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_1 & op(e3, e0) = e3 & op(e0,
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25) = all_57_24 & op(e0, all_57_27) =
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e0, all_57_29) = all_57_28 &
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_31) = all_57_30 & op(e0, e3) =
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_27 & op(e0, e1)
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_29 & op(e0, e0) = all_57_31 &
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_24) & $i(all_57_25) &
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_27) & $i(all_57_28) &
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29) & $i(all_57_30) & $i(all_57_31)) |
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e2 & ~ (all_57_0 = e3) & ~ (all_57_2
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2) & ~ (all_57_4 = e1) & ~ (all_57_6 =
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_11 = e3) & op(e3, all_57_1) =
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_0 & op(e3, all_57_3) = all_57_2 & op(e3,
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_5) = all_57_4 & op(e3, all_57_7) =
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_6 & op(e3, e3) = all_57_1 & op(e3, e2) =
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 & op(e3, e1) = all_57_5 & op(e3, e0) =
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7 & op(e2, e3) = e2 & op(e2, e2) =
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_11 & $i(all_57_0) & $i(all_57_1) &
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_2) & $i(all_57_3) & $i(all_57_4) &
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11))
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (168), (7529), (8444), (8473), (function-axioms)
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #744.
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8474) (all_57_13 = e2 & ~ (all_57_11 = e1) & ~
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_16 = e3) & ~ (all_57_18 = e2) & ~
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_22 = e0) & op(e2,
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_11 & op(e2, e1) = e2 & op(e1,
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17) = all_57_16 & op(e1, all_57_19) =
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_18 & op(e1, all_57_21) = all_57_20 &
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_23) = all_57_22 & op(e1, e3) =
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e1, e2) = all_57_19 & op(e1, e1)
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_21 & op(e1, e0) = all_57_23 &
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_16) & $i(all_57_17) &
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_19) & $i(all_57_20) &
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_22) & $i(all_57_23)) |
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e2 & ~ (all_57_11 = e0) & ~
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) & op(e2,
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_11 & op(e2, e0) = e2 & op(e0,
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25) = all_57_24 & op(e0, all_57_27) =
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e0, all_57_29) = all_57_28 &
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_31) = all_57_30 & op(e0, e3) =
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_27 & op(e0, e1)
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_29 & op(e0, e0) = all_57_31 &
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_24) & $i(all_57_25) &
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_27) & $i(all_57_28) &
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29) & $i(all_57_30) & $i(all_57_31)) |
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_17 = e1 & ~ (all_57_0 = e3) & ~
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e2) & ~ (all_57_4 = e1) & ~
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_6 = e0) & ~ (all_57_21 = e3) & op(e3,
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1) = all_57_0 & op(e3, all_57_3) =
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_2 & op(e3, all_57_5) = all_57_4 & op(e3,
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7) = all_57_6 & op(e3, e3) = all_57_1 &
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_3 & op(e3, e1) = all_57_5 &
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_7 & op(e1, e3) = e1 & op(e1,
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_21 & $i(all_57_0) & $i(all_57_1)
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_2) & $i(all_57_3) & $i(all_57_4) &
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21)) | (all_57_19 = e1 & ~ (all_57_8
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_10 = e2) & ~ (all_57_12 =
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_14 = e0) & ~ (all_57_21 =
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & op(e2, all_57_9) = all_57_8 & op(e2,
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_11) = all_57_10 & op(e2, all_57_13) =
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & op(e2, all_57_15) = all_57_14 &
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_9 & op(e2, e2) = all_57_11 &
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_57_13 & op(e2, e0) = all_57_15
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e1 & op(e1, e1) = all_57_21 &
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8) & $i(all_57_9) & $i(all_57_10) &
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_12) & $i(all_57_13) &
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & $i(all_57_15) & $i(all_57_21)) |
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (op(e0, e0) = all_57_31 & $i(all_57_31) &
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_23 = e1 & ~ (all_57_21 = e0) & ~
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) &
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_21 & op(e1, e0) = e1 &
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_25) = all_57_24 & op(e0,
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27) = all_57_26 & op(e0, all_57_29)
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_28 & op(e0, all_57_31) = all_57_30
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e3) = all_57_25 & op(e0, e2) =
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27 & op(e0, e1) = all_57_29 &
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_24) &
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_25) & $i(all_57_26) &
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27) & $i(all_57_28) &
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29) & $i(all_57_30)) | (all_57_25
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & ~ (all_57_0 = e3) & ~ (all_57_2 =
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_4 = e1) & ~ (all_57_6 =
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_31 = e3) & op(e3,
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1) = all_57_0 & op(e3, all_57_3) =
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_2 & op(e3, all_57_5) = all_57_4 &
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, all_57_7) = all_57_6 & op(e3, e3) =
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e2) = all_57_3 & op(e3,
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_5 & op(e3, e0) = all_57_7 &
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_0) &
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_2) & $i(all_57_3) &
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4) & $i(all_57_5) & $i(all_57_6) &
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7)) | (all_57_27 = e0 & ~
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e3) & ~ (all_57_10 = e2) & ~
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e1) & ~ (all_57_14 = e0) & ~
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e2) & op(e2, all_57_9) =
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_8 & op(e2, all_57_11) = all_57_10 &
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_13) = all_57_12 & op(e2,
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15) = all_57_14 & op(e2, e3) =
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_9 & op(e2, e2) = all_57_11 & op(e2,
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_13 & op(e2, e0) = all_57_15 &
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_8) &
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9) & $i(all_57_10) & $i(all_57_11)
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_12) & $i(all_57_13) &
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & $i(all_57_15)) | (all_57_29
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & ~ (all_57_16 = e3) & ~ (all_57_18 =
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_20 = e1) & ~ (all_57_22
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_31 = e1) & op(e1,
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17) = all_57_16 & op(e1, all_57_19)
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_18 & op(e1, all_57_21) = all_57_20
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, all_57_23) = all_57_22 & op(e1, e3)
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_17 & op(e1, e2) = all_57_19 &
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_21 & op(e1, e0) =
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23 & op(e0, e1) = e0 & $i(all_57_16)
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_17) & $i(all_57_18) &
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_20) &
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_22) &
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23))))
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8474) gives:
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8475) (all_57_13 = e2 & ~ (all_57_11 = e1) & ~
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_16 = e3) & ~ (all_57_18 = e2) & ~
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_22 = e0) & op(e2,
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_11 & op(e2, e1) = e2 & op(e1,
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17) = all_57_16 & op(e1, all_57_19) =
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_18 & op(e1, all_57_21) = all_57_20 &
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_23) = all_57_22 & op(e1, e3) =
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e1, e2) = all_57_19 & op(e1, e1)
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_21 & op(e1, e0) = all_57_23 &
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_16) & $i(all_57_17) &
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_19) & $i(all_57_20) &
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_22) & $i(all_57_23)) |
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e2 & ~ (all_57_11 = e0) & ~
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) & op(e2,
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_11 & op(e2, e0) = e2 & op(e0,
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25) = all_57_24 & op(e0, all_57_27) =
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e0, all_57_29) = all_57_28 &
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_31) = all_57_30 & op(e0, e3) =
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_27 & op(e0, e1)
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_29 & op(e0, e0) = all_57_31 &
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_24) & $i(all_57_25) &
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_27) & $i(all_57_28) &
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29) & $i(all_57_30) & $i(all_57_31))
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8475) gives:
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8476) all_57_13 = e2 & ~ (all_57_11 = e1) & ~
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_16 = e3) & ~ (all_57_18 = e2) & ~
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_22 = e0) & op(e2,
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_11 & op(e2, e1) = e2 & op(e1,
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17) = all_57_16 & op(e1, all_57_19) =
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_18 & op(e1, all_57_21) = all_57_20 & op(e1,
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23) = all_57_22 & op(e1, e3) = all_57_17
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = all_57_19 & op(e1, e1) = all_57_21
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e0) = all_57_23 & $i(all_57_11) &
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_16) & $i(all_57_17) & $i(all_57_18) &
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_20) & $i(all_57_21) &
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_23)
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8476) implies:
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8477) ~ (all_57_20 = e1)
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8478) op(e1, e1) = all_57_21
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8479) op(e1, all_57_21) = all_57_20
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8380), (8477), (8478), (8479), (function-axioms)
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1953.
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8480) all_57_15 = e2 & ~ (all_57_11 = e0) & ~
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) & op(e2,
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_11 & op(e2, e0) = e2 & op(e0,
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25) = all_57_24 & op(e0, all_57_27) =
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e0, all_57_29) = all_57_28 & op(e0,
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_31) = all_57_30 & op(e0, e3) = all_57_25
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e2) = all_57_27 & op(e0, e1) = all_57_29
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = all_57_31 & $i(all_57_11) &
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_24) & $i(all_57_25) & $i(all_57_26) &
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27) & $i(all_57_28) & $i(all_57_29) &
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30) & $i(all_57_31)
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8480) implies:
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8481) op(e2, e0) = e2
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (8432), (8481), (function-axioms) are
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1601.
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8482) (all_57_17 = e1 & ~ (all_57_0 = e3) & ~
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e2) & ~ (all_57_4 = e1) & ~
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_6 = e0) & ~ (all_57_21 = e3) & op(e3,
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1) = all_57_0 & op(e3, all_57_3) =
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_2 & op(e3, all_57_5) = all_57_4 & op(e3,
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7) = all_57_6 & op(e3, e3) = all_57_1 &
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_3 & op(e3, e1) = all_57_5 &
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_7 & op(e1, e3) = e1 & op(e1,
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_21 & $i(all_57_0) & $i(all_57_1)
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_2) & $i(all_57_3) & $i(all_57_4) &
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21)) | (all_57_19 = e1 & ~ (all_57_8
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_10 = e2) & ~ (all_57_12 =
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_14 = e0) & ~ (all_57_21 =
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & op(e2, all_57_9) = all_57_8 & op(e2,
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_11) = all_57_10 & op(e2, all_57_13) =
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & op(e2, all_57_15) = all_57_14 &
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_9 & op(e2, e2) = all_57_11 &
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_57_13 & op(e2, e0) = all_57_15
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e1 & op(e1, e1) = all_57_21 &
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8) & $i(all_57_9) & $i(all_57_10) &
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_12) & $i(all_57_13) &
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & $i(all_57_15) & $i(all_57_21)) |
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (op(e0, e0) = all_57_31 & $i(all_57_31) &
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_23 = e1 & ~ (all_57_21 = e0) & ~
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) &
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_21 & op(e1, e0) = e1 &
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_25) = all_57_24 & op(e0,
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27) = all_57_26 & op(e0, all_57_29)
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_28 & op(e0, all_57_31) = all_57_30
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e3) = all_57_25 & op(e0, e2) =
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27 & op(e0, e1) = all_57_29 &
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_24) &
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_25) & $i(all_57_26) &
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27) & $i(all_57_28) &
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29) & $i(all_57_30)) | (all_57_25
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & ~ (all_57_0 = e3) & ~ (all_57_2 =
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_4 = e1) & ~ (all_57_6 =
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_31 = e3) & op(e3,
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1) = all_57_0 & op(e3, all_57_3) =
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_2 & op(e3, all_57_5) = all_57_4 &
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, all_57_7) = all_57_6 & op(e3, e3) =
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e2) = all_57_3 & op(e3,
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_5 & op(e3, e0) = all_57_7 &
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_0) &
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_2) & $i(all_57_3) &
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4) & $i(all_57_5) & $i(all_57_6) &
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7)) | (all_57_27 = e0 & ~
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e3) & ~ (all_57_10 = e2) & ~
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e1) & ~ (all_57_14 = e0) & ~
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e2) & op(e2, all_57_9) =
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_8 & op(e2, all_57_11) = all_57_10 &
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_13) = all_57_12 & op(e2,
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15) = all_57_14 & op(e2, e3) =
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_9 & op(e2, e2) = all_57_11 & op(e2,
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_13 & op(e2, e0) = all_57_15 &
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_8) &
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9) & $i(all_57_10) & $i(all_57_11)
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_12) & $i(all_57_13) &
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & $i(all_57_15)) | (all_57_29
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & ~ (all_57_16 = e3) & ~ (all_57_18 =
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_20 = e1) & ~ (all_57_22
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_31 = e1) & op(e1,
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17) = all_57_16 & op(e1, all_57_19)
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_18 & op(e1, all_57_21) = all_57_20
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, all_57_23) = all_57_22 & op(e1, e3)
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_17 & op(e1, e2) = all_57_19 &
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_21 & op(e1, e0) =
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23 & op(e0, e1) = e0 & $i(all_57_16)
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_17) & $i(all_57_18) &
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_20) &
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_22) &
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23))))
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8482) gives:
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8483) all_57_17 = e1 & ~ (all_57_0 = e3) & ~ (all_57_2
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2) & ~ (all_57_4 = e1) & ~ (all_57_6 = e0)
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_21 = e3) & op(e3, all_57_1) =
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_0 & op(e3, all_57_3) = all_57_2 & op(e3,
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_5) = all_57_4 & op(e3, all_57_7) =
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_6 & op(e3, e3) = all_57_1 & op(e3, e2) =
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 & op(e3, e1) = all_57_5 & op(e3, e0) =
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7 & op(e1, e3) = e1 & op(e1, e1) =
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_21 & $i(all_57_0) & $i(all_57_1) &
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_2) & $i(all_57_3) & $i(all_57_4) &
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21)
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8483) implies:
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8484) op(e1, e3) = e1
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (163), (8375), (8484), (function-axioms) are
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1939.
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.83/31.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8485) (all_57_19 = e1 & ~ (all_57_8 = e3) & ~
% 197.83/31.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e2) & ~ (all_57_12 = e1) & ~
% 197.83/31.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e0) & ~ (all_57_21 = e2) & op(e2,
% 197.83/31.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_9) = all_57_8 & op(e2, all_57_11) =
% 197.83/31.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e2, all_57_13) = all_57_12 &
% 197.83/31.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_15) = all_57_14 & op(e2, e3) =
% 197.83/31.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_9 & op(e2, e2) = all_57_11 & op(e2, e1) =
% 197.83/31.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_13 & op(e2, e0) = all_57_15 & op(e1, e2)
% 197.83/31.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & op(e1, e1) = all_57_21 & $i(all_57_8) &
% 197.83/31.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9) & $i(all_57_10) & $i(all_57_11) &
% 197.83/31.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & $i(all_57_13) & $i(all_57_14) &
% 197.83/31.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & $i(all_57_21)) | (op(e0, e0) =
% 197.83/31.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_31 & $i(all_57_31) & ((all_57_23 = e1 &
% 197.83/31.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_21 = e0) & ~ (all_57_24 = e3) &
% 197.83/31.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_26 = e2) & ~ (all_57_28 = e1) &
% 197.83/31.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_30 = e0) & op(e1, e1) = all_57_21
% 197.83/31.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e0) = e1 & op(e0, all_57_25) =
% 197.83/31.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_24 & op(e0, all_57_27) = all_57_26 &
% 197.83/31.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_29) = all_57_28 & op(e0,
% 197.83/31.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_31) = all_57_30 & op(e0, e3) =
% 197.83/31.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_27 & op(e0,
% 197.83/31.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_29 & $i(all_57_21) &
% 197.83/31.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_24) & $i(all_57_25) &
% 197.83/31.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_27) &
% 197.83/31.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28) & $i(all_57_29) &
% 197.83/31.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_25 = e0 & ~
% 197.83/31.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_0 = e3) & ~ (all_57_2 = e2) & ~
% 197.83/31.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1) & ~ (all_57_6 = e0) & ~
% 197.83/31.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e3) & op(e3, all_57_1) =
% 197.83/31.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_0 & op(e3, all_57_3) = all_57_2 &
% 197.83/31.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, all_57_5) = all_57_4 & op(e3,
% 197.83/31.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7) = all_57_6 & op(e3, e3) =
% 197.83/31.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e2) = all_57_3 & op(e3,
% 197.83/31.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_5 & op(e3, e0) = all_57_7 &
% 197.83/31.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_0) &
% 197.83/31.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_2) & $i(all_57_3) &
% 197.83/31.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4) & $i(all_57_5) & $i(all_57_6) &
% 197.83/31.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7)) | (all_57_27 = e0 & ~
% 197.83/31.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e3) & ~ (all_57_10 = e2) & ~
% 197.83/31.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e1) & ~ (all_57_14 = e0) & ~
% 197.83/31.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e2) & op(e2, all_57_9) =
% 197.83/31.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_8 & op(e2, all_57_11) = all_57_10 &
% 197.83/31.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_13) = all_57_12 & op(e2,
% 197.83/31.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15) = all_57_14 & op(e2, e3) =
% 197.83/31.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_9 & op(e2, e2) = all_57_11 & op(e2,
% 197.83/31.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_13 & op(e2, e0) = all_57_15 &
% 197.83/31.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_8) &
% 197.83/31.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9) & $i(all_57_10) & $i(all_57_11)
% 197.83/31.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_12) & $i(all_57_13) &
% 197.83/31.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & $i(all_57_15)) | (all_57_29
% 197.83/31.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & ~ (all_57_16 = e3) & ~ (all_57_18 =
% 197.83/31.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_20 = e1) & ~ (all_57_22
% 197.83/31.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_31 = e1) & op(e1,
% 197.83/31.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17) = all_57_16 & op(e1, all_57_19)
% 197.83/31.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_18 & op(e1, all_57_21) = all_57_20
% 197.83/31.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, all_57_23) = all_57_22 & op(e1, e3)
% 197.83/31.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_17 & op(e1, e2) = all_57_19 &
% 197.83/31.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_21 & op(e1, e0) =
% 197.83/31.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23 & op(e0, e1) = e0 & $i(all_57_16)
% 197.83/31.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_17) & $i(all_57_18) &
% 197.83/31.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_20) &
% 197.83/31.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_22) &
% 197.83/31.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23))))
% 197.83/31.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8485) gives:
% 197.83/31.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.83/31.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8486) all_57_19 = e1 & ~ (all_57_8 = e3) & ~
% 197.83/31.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e2) & ~ (all_57_12 = e1) & ~
% 197.83/31.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e0) & ~ (all_57_21 = e2) & op(e2,
% 197.83/31.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_9) = all_57_8 & op(e2, all_57_11) =
% 197.83/31.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e2, all_57_13) = all_57_12 & op(e2,
% 197.83/31.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15) = all_57_14 & op(e2, e3) = all_57_9 &
% 197.83/31.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_11 & op(e2, e1) = all_57_13 &
% 197.83/31.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_15 & op(e1, e2) = e1 & op(e1,
% 197.83/31.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_21 & $i(all_57_8) & $i(all_57_9) &
% 197.83/31.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & $i(all_57_11) & $i(all_57_12) &
% 197.83/31.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13) & $i(all_57_14) & $i(all_57_15) &
% 197.83/31.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21)
% 197.83/31.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8486) implies:
% 197.83/31.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8487) ~ (all_57_21 = e2)
% 197.83/31.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8488) op(e1, e1) = all_57_21
% 197.83/31.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8489) op(e1, e2) = e1
% 197.83/31.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (239) gives:
% 197.83/31.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.83/31.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8490) (all_57_1 = e2 & ~ (all_57_3 = e3) & ~ (all_57_8
% 197.83/31.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_10 = e2) & ~ (all_57_12 =
% 197.83/31.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_14 = e0) & op(e3, e3) = e2 &
% 197.83/31.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_3 & op(e2, all_57_9) =
% 197.83/31.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_8 & op(e2, all_57_11) = all_57_10 &
% 197.83/31.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_13) = all_57_12 & op(e2,
% 197.83/31.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15) = all_57_14 & op(e2, e3) = all_57_9
% 197.83/31.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = all_57_11 & op(e2, e1) =
% 197.83/31.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_13 & op(e2, e0) = all_57_15 &
% 197.83/31.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_3) & $i(all_57_8) & $i(all_57_9) &
% 197.83/31.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & $i(all_57_11) & $i(all_57_12) &
% 197.83/31.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13) & $i(all_57_14) & $i(all_57_15)) |
% 197.83/31.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e1 & ~ (all_57_5 = e3) & ~
% 197.83/31.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_16 = e3) & ~ (all_57_18 = e2) & ~
% 197.83/31.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_22 = e0) & op(e3,
% 197.83/31.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e1 & op(e3, e1) = all_57_5 & op(e1,
% 197.83/31.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17) = all_57_16 & op(e1, all_57_19) =
% 197.83/31.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_18 & op(e1, all_57_21) = all_57_20 &
% 197.83/31.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_23) = all_57_22 & op(e1, e3) =
% 197.83/31.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e1, e2) = all_57_19 & op(e1, e1)
% 197.83/31.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_21 & op(e1, e0) = all_57_23 &
% 197.83/31.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_16) & $i(all_57_17) &
% 197.83/31.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_19) & $i(all_57_20) &
% 197.83/31.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_22) & $i(all_57_23)) |
% 197.83/31.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e0 & ~ (all_57_7 = e3) & ~
% 197.83/31.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 197.83/31.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) & op(e3,
% 197.83/31.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e0 & op(e3, e0) = all_57_7 & op(e0,
% 197.83/31.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25) = all_57_24 & op(e0, all_57_27) =
% 197.83/31.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e0, all_57_29) = all_57_28 &
% 197.83/31.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_31) = all_57_30 & op(e0, e3) =
% 197.83/31.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_27 & op(e0, e1)
% 197.83/31.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_29 & op(e0, e0) = all_57_31 &
% 197.83/31.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7) & $i(all_57_24) & $i(all_57_25) &
% 197.83/31.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_27) & $i(all_57_28) &
% 197.83/31.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29) & $i(all_57_30) & $i(all_57_31)) |
% 197.83/31.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e3 & ~ (all_57_0 = e3) & ~
% 197.83/31.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e2) & ~ (all_57_4 = e1) & ~
% 197.83/31.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_6 = e0) & ~ (all_57_9 = e2) & op(e3,
% 197.83/31.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1) = all_57_0 & op(e3, all_57_3) =
% 197.83/31.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_2 & op(e3, all_57_5) = all_57_4 & op(e3,
% 197.83/31.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7) = all_57_6 & op(e3, e3) = all_57_1 &
% 197.83/31.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_3 & op(e3, e1) = all_57_5 &
% 197.83/31.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_7 & op(e2, e3) = all_57_9 &
% 197.83/31.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e3 & $i(all_57_0) & $i(all_57_1) &
% 197.83/31.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_2) & $i(all_57_3) & $i(all_57_4) &
% 197.83/31.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 197.83/31.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9))
% 197.83/31.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8490) gives:
% 197.83/31.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.83/31.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8491) (all_57_1 = e2 & ~ (all_57_3 = e3) & ~ (all_57_8
% 197.83/31.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_10 = e2) & ~ (all_57_12 =
% 197.83/31.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_14 = e0) & op(e3, e3) = e2 &
% 197.83/31.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_3 & op(e2, all_57_9) =
% 197.83/31.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_8 & op(e2, all_57_11) = all_57_10 &
% 197.83/31.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_13) = all_57_12 & op(e2,
% 197.83/31.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15) = all_57_14 & op(e2, e3) = all_57_9
% 197.83/31.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = all_57_11 & op(e2, e1) =
% 197.83/31.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_13 & op(e2, e0) = all_57_15 &
% 197.83/31.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_3) & $i(all_57_8) & $i(all_57_9) &
% 197.83/31.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & $i(all_57_11) & $i(all_57_12) &
% 197.83/31.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13) & $i(all_57_14) & $i(all_57_15)) |
% 197.83/31.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e1 & ~ (all_57_5 = e3) & ~
% 197.83/31.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_16 = e3) & ~ (all_57_18 = e2) & ~
% 197.83/31.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_22 = e0) & op(e3,
% 197.83/31.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e1 & op(e3, e1) = all_57_5 & op(e1,
% 197.83/31.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17) = all_57_16 & op(e1, all_57_19) =
% 197.83/31.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_18 & op(e1, all_57_21) = all_57_20 &
% 197.83/31.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_23) = all_57_22 & op(e1, e3) =
% 197.83/31.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e1, e2) = all_57_19 & op(e1, e1)
% 197.83/31.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_21 & op(e1, e0) = all_57_23 &
% 197.83/31.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_16) & $i(all_57_17) &
% 197.83/31.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_19) & $i(all_57_20) &
% 197.83/31.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_22) & $i(all_57_23))
% 197.83/31.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (8), (9), (230), (236), (8414),
% 197.83/31.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8438), (8443), (8444), (8491), (function-axioms)
% 197.83/31.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #743.
% 197.83/31.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.83/31.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8492) (all_57_1 = e0 & ~ (all_57_7 = e3) & ~
% 197.83/31.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 197.83/31.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) & op(e3,
% 197.83/31.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e0 & op(e3, e0) = all_57_7 & op(e0,
% 197.83/31.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25) = all_57_24 & op(e0, all_57_27) =
% 197.83/31.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e0, all_57_29) = all_57_28 &
% 197.83/31.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_31) = all_57_30 & op(e0, e3) =
% 197.83/31.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_27 & op(e0, e1)
% 197.83/31.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_29 & op(e0, e0) = all_57_31 &
% 197.83/31.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7) & $i(all_57_24) & $i(all_57_25) &
% 197.83/31.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_27) & $i(all_57_28) &
% 197.83/31.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29) & $i(all_57_30) & $i(all_57_31)) |
% 197.83/31.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e3 & ~ (all_57_0 = e3) & ~
% 197.83/31.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e2) & ~ (all_57_4 = e1) & ~
% 197.83/31.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_6 = e0) & ~ (all_57_9 = e2) & op(e3,
% 197.83/31.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1) = all_57_0 & op(e3, all_57_3) =
% 197.83/31.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_2 & op(e3, all_57_5) = all_57_4 & op(e3,
% 197.83/31.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7) = all_57_6 & op(e3, e3) = all_57_1 &
% 197.83/31.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_3 & op(e3, e1) = all_57_5 &
% 197.83/31.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_7 & op(e2, e3) = all_57_9 &
% 197.83/31.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e3 & $i(all_57_0) & $i(all_57_1) &
% 197.83/31.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_2) & $i(all_57_3) & $i(all_57_4) &
% 197.83/31.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 197.83/31.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9))
% 197.83/31.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8492) gives:
% 197.83/31.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.83/31.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8493) all_57_1 = e0 & ~ (all_57_7 = e3) & ~ (all_57_24
% 197.83/31.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_26 = e2) & ~ (all_57_28 =
% 197.83/31.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_30 = e0) & op(e3, e3) = e0 &
% 197.83/31.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_7 & op(e0, all_57_25) =
% 197.83/31.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_24 & op(e0, all_57_27) = all_57_26 & op(e0,
% 197.83/31.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_29) = all_57_28 & op(e0, all_57_31) =
% 197.83/31.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30 & op(e0, e3) = all_57_25 & op(e0, e2) =
% 197.83/31.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27 & op(e0, e1) = all_57_29 & op(e0, e0) =
% 197.83/31.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_31 & $i(all_57_7) & $i(all_57_24) &
% 197.83/31.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_25) & $i(all_57_26) & $i(all_57_27) &
% 197.83/31.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28) & $i(all_57_29) & $i(all_57_30) &
% 197.83/31.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_31)
% 197.83/31.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e0, e1, e2,
% 197.83/31.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1, simplifying with (8460), (8489) gives:
% 197.83/31.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8494) e1 = e0
% 197.83/31.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (8435), (8494) imply:
% 197.83/31.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8495) all_56_2 = e0
% 197.83/31.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (163), (231), (8375), (8414), (8450),
% 197.83/31.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8495), (function-axioms) are inconsistent by
% 197.83/31.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1179.
% 197.83/31.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.83/31.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8496) all_57_11 = e3 & ~ (all_57_0 = e3) & ~ (all_57_2
% 197.83/31.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2) & ~ (all_57_4 = e1) & ~ (all_57_6 = e0)
% 197.83/31.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_9 = e2) & op(e3, all_57_1) = all_57_0
% 197.83/31.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, all_57_3) = all_57_2 & op(e3, all_57_5) =
% 197.83/31.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_4 & op(e3, all_57_7) = all_57_6 & op(e3,
% 197.83/31.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_1 & op(e3, e2) = all_57_3 & op(e3,
% 197.83/31.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_5 & op(e3, e0) = all_57_7 & op(e2,
% 197.83/31.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_9 & op(e2, e2) = e3 & $i(all_57_0)
% 197.83/31.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_1) & $i(all_57_2) & $i(all_57_3) &
% 197.83/31.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4) & $i(all_57_5) & $i(all_57_6) &
% 197.83/31.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7) & $i(all_57_9)
% 197.83/31.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8496) implies:
% 197.83/31.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8497) ~ (all_57_2 = e2)
% 197.83/31.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8498) op(e3, e2) = all_57_3
% 197.83/31.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8499) op(e3, all_57_3) = all_57_2
% 197.83/31.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8444), (8497), (8498), (8499), (function-axioms)
% 197.83/31.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1383.
% 197.83/31.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.83/31.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.83/31.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.83/31.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8500) (all_57_11 = e1 & ~ (all_57_13 = e2) & ~
% 197.83/31.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_16 = e3) & ~ (all_57_18 = e2) & ~
% 197.83/31.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_22 = e0) & op(e2,
% 197.83/31.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e1 & op(e2, e1) = all_57_13 & op(e1,
% 197.83/31.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17) = all_57_16 & op(e1, all_57_19) =
% 197.83/31.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_18 & op(e1, all_57_21) = all_57_20 &
% 197.83/31.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_23) = all_57_22 & op(e1, e3) =
% 197.83/31.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e1, e2) = all_57_19 & op(e1, e1)
% 197.83/31.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_21 & op(e1, e0) = all_57_23 &
% 197.83/31.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13) & $i(all_57_16) & $i(all_57_17) &
% 197.83/31.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_19) & $i(all_57_20) &
% 197.83/31.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_22) & $i(all_57_23)) |
% 197.83/31.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e0 & ~ (all_57_15 = e2) & ~
% 197.83/31.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 197.83/31.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) & op(e2,
% 197.83/31.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e0 & op(e2, e0) = all_57_15 & op(e0,
% 197.83/31.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25) = all_57_24 & op(e0, all_57_27) =
% 197.83/31.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e0, all_57_29) = all_57_28 &
% 197.83/31.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_31) = all_57_30 & op(e0, e3) =
% 197.83/31.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_27 & op(e0, e1)
% 197.83/31.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_29 & op(e0, e0) = all_57_31 &
% 197.83/31.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & $i(all_57_24) & $i(all_57_25) &
% 197.83/31.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_27) & $i(all_57_28) &
% 197.83/31.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29) & $i(all_57_30) & $i(all_57_31)) |
% 197.83/31.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e3 & ~ (all_57_0 = e3) & ~
% 197.83/31.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e2) & ~ (all_57_4 = e1) & ~
% 197.83/31.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_6 = e0) & ~ (all_57_17 = e1) & op(e3,
% 197.83/31.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1) = all_57_0 & op(e3, all_57_3) =
% 197.83/31.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_2 & op(e3, all_57_5) = all_57_4 & op(e3,
% 197.83/31.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7) = all_57_6 & op(e3, e3) = all_57_1 &
% 197.83/31.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_3 & op(e3, e1) = all_57_5 &
% 197.83/31.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_7 & op(e1, e3) = all_57_17 &
% 197.83/31.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e3 & $i(all_57_0) & $i(all_57_1) &
% 197.83/31.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_2) & $i(all_57_3) & $i(all_57_4) &
% 197.83/31.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 197.83/31.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_17)) | (all_57_21 = e2 & ~ (all_57_8
% 197.83/31.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_10 = e2) & ~ (all_57_12 =
% 197.83/31.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_14 = e0) & ~ (all_57_19 =
% 197.83/31.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & op(e2, all_57_9) = all_57_8 & op(e2,
% 197.83/31.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_11) = all_57_10 & op(e2, all_57_13) =
% 197.83/31.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & op(e2, all_57_15) = all_57_14 &
% 197.83/31.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_9 & op(e2, e2) = all_57_11 &
% 197.83/31.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_57_13 & op(e2, e0) = all_57_15
% 197.83/31.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = all_57_19 & op(e1, e1) = e2 &
% 197.83/31.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8) & $i(all_57_9) & $i(all_57_10) &
% 197.83/31.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_12) & $i(all_57_13) &
% 197.83/31.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & $i(all_57_15) & $i(all_57_19)) |
% 197.83/31.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (op(e0, e0) = all_57_31 & $i(all_57_31) &
% 197.83/31.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_21 = e0 & ~ (all_57_23 = e1) & ~
% 197.83/31.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 197.83/31.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) &
% 197.83/31.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = all_57_23 &
% 197.83/31.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_25) = all_57_24 & op(e0,
% 197.83/31.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27) = all_57_26 & op(e0, all_57_29)
% 197.83/31.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_28 & op(e0, all_57_31) = all_57_30
% 197.83/31.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e3) = all_57_25 & op(e0, e2) =
% 197.83/31.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27 & op(e0, e1) = all_57_29 &
% 197.83/31.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23) & $i(all_57_24) &
% 197.83/31.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_25) & $i(all_57_26) &
% 197.83/31.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27) & $i(all_57_28) &
% 197.83/31.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29) & $i(all_57_30)) | (all_57_31
% 197.83/31.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & ~ (all_57_0 = e3) & ~ (all_57_2 =
% 197.83/31.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_4 = e1) & ~ (all_57_6 =
% 197.83/31.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_25 = e0) & op(e3,
% 197.83/31.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1) = all_57_0 & op(e3, all_57_3) =
% 197.83/31.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_2 & op(e3, all_57_5) = all_57_4 &
% 197.83/31.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, all_57_7) = all_57_6 & op(e3, e3) =
% 197.83/31.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e2) = all_57_3 & op(e3,
% 197.83/31.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_5 & op(e3, e0) = all_57_7 &
% 197.83/31.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_25 & $i(all_57_0) &
% 197.83/31.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_2) & $i(all_57_3) &
% 197.83/31.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4) & $i(all_57_5) & $i(all_57_6) &
% 197.83/31.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7) & $i(all_57_25)) | (all_57_31 =
% 197.83/31.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_8 = e3) & ~ (all_57_10 =
% 197.83/31.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_12 = e1) & ~ (all_57_14
% 197.83/31.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_27 = e0) & op(e2,
% 197.83/31.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_9) = all_57_8 & op(e2, all_57_11) =
% 197.83/31.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e2, all_57_13) = all_57_12 &
% 197.83/31.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_15) = all_57_14 & op(e2, e3) =
% 197.83/31.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_9 & op(e2, e2) = all_57_11 & op(e2,
% 197.83/31.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_13 & op(e2, e0) = all_57_15 &
% 197.83/31.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_27 & $i(all_57_8) &
% 197.83/31.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9) & $i(all_57_10) & $i(all_57_11)
% 197.83/31.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_12) & $i(all_57_13) &
% 197.83/31.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & $i(all_57_15) &
% 197.83/31.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27)) | (all_57_31 = e1 & ~
% 197.83/31.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_16 = e3) & ~ (all_57_18 = e2) & ~
% 197.83/31.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_22 = e0) & ~
% 197.83/31.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_29 = e0) & op(e1, all_57_17) =
% 197.83/31.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_16 & op(e1, all_57_19) = all_57_18 &
% 197.83/31.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_21) = all_57_20 & op(e1,
% 197.83/31.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23) = all_57_22 & op(e1, e3) =
% 197.83/31.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e1, e2) = all_57_19 & op(e1,
% 197.83/31.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_21 & op(e1, e0) = all_57_23 &
% 197.83/31.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = all_57_29 & $i(all_57_16) &
% 197.83/31.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_17) & $i(all_57_18) &
% 197.83/31.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_20) &
% 197.83/31.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_22) &
% 197.83/31.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23) & $i(all_57_29))))
% 197.83/31.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8500) gives:
% 197.83/31.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.83/31.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8501) (all_57_11 = e1 & ~ (all_57_13 = e2) & ~
% 197.83/31.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_16 = e3) & ~ (all_57_18 = e2) & ~
% 197.83/31.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_22 = e0) & op(e2,
% 197.83/31.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e1 & op(e2, e1) = all_57_13 & op(e1,
% 197.83/31.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17) = all_57_16 & op(e1, all_57_19) =
% 197.83/31.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_18 & op(e1, all_57_21) = all_57_20 &
% 197.83/31.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_23) = all_57_22 & op(e1, e3) =
% 197.83/31.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e1, e2) = all_57_19 & op(e1, e1)
% 197.83/31.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_21 & op(e1, e0) = all_57_23 &
% 197.83/31.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13) & $i(all_57_16) & $i(all_57_17) &
% 197.83/31.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_19) & $i(all_57_20) &
% 197.83/31.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_22) & $i(all_57_23)) |
% 197.83/31.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e0 & ~ (all_57_15 = e2) & ~
% 197.83/31.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 197.83/31.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) & op(e2,
% 197.83/31.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e0 & op(e2, e0) = all_57_15 & op(e0,
% 197.83/31.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25) = all_57_24 & op(e0, all_57_27) =
% 197.83/31.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e0, all_57_29) = all_57_28 &
% 197.83/31.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_31) = all_57_30 & op(e0, e3) =
% 197.83/31.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_27 & op(e0, e1)
% 197.83/31.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_29 & op(e0, e0) = all_57_31 &
% 197.83/31.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & $i(all_57_24) & $i(all_57_25) &
% 197.83/31.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_27) & $i(all_57_28) &
% 197.83/31.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29) & $i(all_57_30) & $i(all_57_31))
% 197.83/31.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8), (8340), (8501), (function-axioms) are
% 197.83/31.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1200.
% 197.83/31.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.83/31.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8502) (all_57_21 = e3 & ~ (all_57_0 = e3) & ~
% 197.83/31.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e2) & ~ (all_57_4 = e1) & ~
% 197.83/31.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_6 = e0) & ~ (all_57_17 = e1) & op(e3,
% 197.83/31.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1) = all_57_0 & op(e3, all_57_3) =
% 197.83/31.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_2 & op(e3, all_57_5) = all_57_4 & op(e3,
% 197.83/31.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7) = all_57_6 & op(e3, e3) = all_57_1 &
% 197.83/31.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_3 & op(e3, e1) = all_57_5 &
% 197.83/31.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_7 & op(e1, e3) = all_57_17 &
% 197.83/31.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e3 & $i(all_57_0) & $i(all_57_1) &
% 197.83/31.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_2) & $i(all_57_3) & $i(all_57_4) &
% 197.83/31.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 197.83/31.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_17)) | (all_57_21 = e2 & ~ (all_57_8
% 197.83/31.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_10 = e2) & ~ (all_57_12 =
% 197.83/31.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_14 = e0) & ~ (all_57_19 =
% 197.83/31.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & op(e2, all_57_9) = all_57_8 & op(e2,
% 197.83/31.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_11) = all_57_10 & op(e2, all_57_13) =
% 197.83/31.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & op(e2, all_57_15) = all_57_14 &
% 197.83/31.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_9 & op(e2, e2) = all_57_11 &
% 197.83/31.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_57_13 & op(e2, e0) = all_57_15
% 197.83/31.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = all_57_19 & op(e1, e1) = e2 &
% 197.83/31.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8) & $i(all_57_9) & $i(all_57_10) &
% 197.83/31.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_12) & $i(all_57_13) &
% 197.83/31.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & $i(all_57_15) & $i(all_57_19)) |
% 197.83/31.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (op(e0, e0) = all_57_31 & $i(all_57_31) &
% 197.83/31.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_21 = e0 & ~ (all_57_23 = e1) & ~
% 197.83/31.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 197.83/31.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) &
% 197.83/31.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = all_57_23 &
% 197.83/31.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_25) = all_57_24 & op(e0,
% 197.83/31.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27) = all_57_26 & op(e0, all_57_29)
% 197.83/31.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_28 & op(e0, all_57_31) = all_57_30
% 197.83/31.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e3) = all_57_25 & op(e0, e2) =
% 197.83/31.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27 & op(e0, e1) = all_57_29 &
% 197.83/31.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23) & $i(all_57_24) &
% 197.83/31.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_25) & $i(all_57_26) &
% 197.83/31.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27) & $i(all_57_28) &
% 197.83/31.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29) & $i(all_57_30)) | (all_57_31
% 197.83/31.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & ~ (all_57_0 = e3) & ~ (all_57_2 =
% 197.83/31.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_4 = e1) & ~ (all_57_6 =
% 197.83/31.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_25 = e0) & op(e3,
% 197.83/31.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1) = all_57_0 & op(e3, all_57_3) =
% 197.83/31.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_2 & op(e3, all_57_5) = all_57_4 &
% 197.83/31.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, all_57_7) = all_57_6 & op(e3, e3) =
% 197.83/31.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e2) = all_57_3 & op(e3,
% 197.83/31.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_5 & op(e3, e0) = all_57_7 &
% 197.83/31.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_25 & $i(all_57_0) &
% 197.83/31.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_2) & $i(all_57_3) &
% 197.83/31.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4) & $i(all_57_5) & $i(all_57_6) &
% 197.83/31.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7) & $i(all_57_25)) | (all_57_31 =
% 197.83/31.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_8 = e3) & ~ (all_57_10 =
% 197.83/31.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_12 = e1) & ~ (all_57_14
% 197.83/31.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_27 = e0) & op(e2,
% 197.83/31.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_9) = all_57_8 & op(e2, all_57_11) =
% 197.83/31.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e2, all_57_13) = all_57_12 &
% 197.83/31.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_15) = all_57_14 & op(e2, e3) =
% 197.83/31.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_9 & op(e2, e2) = all_57_11 & op(e2,
% 197.83/31.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_13 & op(e2, e0) = all_57_15 &
% 197.83/31.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_27 & $i(all_57_8) &
% 197.83/31.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9) & $i(all_57_10) & $i(all_57_11)
% 197.83/31.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_12) & $i(all_57_13) &
% 197.83/31.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & $i(all_57_15) &
% 197.83/31.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27)) | (all_57_31 = e1 & ~
% 197.83/31.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_16 = e3) & ~ (all_57_18 = e2) & ~
% 197.83/31.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_22 = e0) & ~
% 197.83/31.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_29 = e0) & op(e1, all_57_17) =
% 197.83/31.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_16 & op(e1, all_57_19) = all_57_18 &
% 197.83/31.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_21) = all_57_20 & op(e1,
% 197.83/31.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23) = all_57_22 & op(e1, e3) =
% 197.83/31.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e1, e2) = all_57_19 & op(e1,
% 197.83/31.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_21 & op(e1, e0) = all_57_23 &
% 197.83/31.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = all_57_29 & $i(all_57_16) &
% 197.83/31.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_17) & $i(all_57_18) &
% 197.83/31.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_20) &
% 197.83/31.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_22) &
% 197.83/31.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23) & $i(all_57_29))))
% 197.83/31.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8502) gives:
% 197.83/31.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.83/31.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8503) all_57_21 = e3 & ~ (all_57_0 = e3) & ~ (all_57_2
% 197.83/31.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2) & ~ (all_57_4 = e1) & ~ (all_57_6 = e0)
% 197.83/31.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_17 = e1) & op(e3, all_57_1) =
% 197.83/31.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_0 & op(e3, all_57_3) = all_57_2 & op(e3,
% 197.83/31.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_5) = all_57_4 & op(e3, all_57_7) =
% 197.83/31.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_6 & op(e3, e3) = all_57_1 & op(e3, e2) =
% 197.83/31.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 & op(e3, e1) = all_57_5 & op(e3, e0) =
% 197.83/31.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7 & op(e1, e3) = all_57_17 & op(e1, e1) =
% 197.83/31.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & $i(all_57_0) & $i(all_57_1) & $i(all_57_2) &
% 197.83/31.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_3) & $i(all_57_4) & $i(all_57_5) &
% 197.83/31.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_6) & $i(all_57_7) & $i(all_57_17)
% 197.83/31.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8503) implies:
% 197.83/31.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8504) op(e1, e1) = e3
% 197.83/31.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (8380), (8504), (function-axioms) are
% 197.83/31.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1958.
% 197.83/31.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.83/31.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8505) (all_57_21 = e2 & ~ (all_57_8 = e3) & ~
% 197.83/31.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e2) & ~ (all_57_12 = e1) & ~
% 197.83/31.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e0) & ~ (all_57_19 = e1) & op(e2,
% 197.83/31.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_9) = all_57_8 & op(e2, all_57_11) =
% 197.83/31.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e2, all_57_13) = all_57_12 &
% 197.83/31.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_15) = all_57_14 & op(e2, e3) =
% 197.83/31.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_9 & op(e2, e2) = all_57_11 & op(e2, e1) =
% 197.83/31.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_13 & op(e2, e0) = all_57_15 & op(e1, e2)
% 197.83/31.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_19 & op(e1, e1) = e2 & $i(all_57_8) &
% 197.83/31.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9) & $i(all_57_10) & $i(all_57_11) &
% 197.83/31.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & $i(all_57_13) & $i(all_57_14) &
% 197.83/31.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & $i(all_57_19)) | (op(e0, e0) =
% 197.83/31.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_31 & $i(all_57_31) & ((all_57_21 = e0 &
% 197.83/31.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_23 = e1) & ~ (all_57_24 = e3) &
% 197.83/31.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_26 = e2) & ~ (all_57_28 = e1) &
% 197.83/31.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_30 = e0) & op(e1, e1) = e0 &
% 197.83/31.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_23 & op(e0, all_57_25) =
% 197.83/31.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_24 & op(e0, all_57_27) = all_57_26 &
% 197.83/31.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_29) = all_57_28 & op(e0,
% 197.83/31.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_31) = all_57_30 & op(e0, e3) =
% 197.83/31.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_27 & op(e0,
% 197.83/31.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_29 & $i(all_57_23) &
% 197.83/31.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_24) & $i(all_57_25) &
% 197.83/31.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_27) &
% 197.83/31.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28) & $i(all_57_29) &
% 197.83/31.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_31 = e3 & ~
% 197.83/31.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_0 = e3) & ~ (all_57_2 = e2) & ~
% 197.83/31.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1) & ~ (all_57_6 = e0) & ~
% 197.83/31.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_25 = e0) & op(e3, all_57_1) =
% 197.83/31.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_0 & op(e3, all_57_3) = all_57_2 &
% 197.83/31.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, all_57_5) = all_57_4 & op(e3,
% 197.83/31.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7) = all_57_6 & op(e3, e3) =
% 197.83/31.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e2) = all_57_3 & op(e3,
% 197.83/31.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_5 & op(e3, e0) = all_57_7 &
% 197.83/31.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_25 & $i(all_57_0) &
% 197.83/31.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_2) & $i(all_57_3) &
% 197.83/31.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4) & $i(all_57_5) & $i(all_57_6) &
% 197.83/31.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7) & $i(all_57_25)) | (all_57_31 =
% 197.83/31.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_8 = e3) & ~ (all_57_10 =
% 197.83/31.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_12 = e1) & ~ (all_57_14
% 197.83/31.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_27 = e0) & op(e2,
% 197.83/31.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_9) = all_57_8 & op(e2, all_57_11) =
% 197.83/31.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e2, all_57_13) = all_57_12 &
% 197.83/31.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_15) = all_57_14 & op(e2, e3) =
% 197.83/31.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_9 & op(e2, e2) = all_57_11 & op(e2,
% 197.83/31.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_13 & op(e2, e0) = all_57_15 &
% 197.83/31.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_27 & $i(all_57_8) &
% 197.83/31.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9) & $i(all_57_10) & $i(all_57_11)
% 197.83/31.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_12) & $i(all_57_13) &
% 197.83/31.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & $i(all_57_15) &
% 197.83/31.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27)) | (all_57_31 = e1 & ~
% 197.83/31.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_16 = e3) & ~ (all_57_18 = e2) & ~
% 197.83/31.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_22 = e0) & ~
% 197.83/31.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_29 = e0) & op(e1, all_57_17) =
% 197.83/31.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_16 & op(e1, all_57_19) = all_57_18 &
% 197.83/31.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_21) = all_57_20 & op(e1,
% 197.83/31.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23) = all_57_22 & op(e1, e3) =
% 197.83/31.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e1, e2) = all_57_19 & op(e1,
% 197.83/31.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_21 & op(e1, e0) = all_57_23 &
% 197.83/31.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = all_57_29 & $i(all_57_16) &
% 197.83/31.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_17) & $i(all_57_18) &
% 197.83/31.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_20) &
% 197.83/31.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_22) &
% 197.83/31.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23) & $i(all_57_29))))
% 197.83/31.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8505) gives:
% 197.83/31.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.83/31.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8506) all_57_21 = e2 & ~ (all_57_8 = e3) & ~
% 197.83/31.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e2) & ~ (all_57_12 = e1) & ~
% 197.83/31.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e0) & ~ (all_57_19 = e1) & op(e2,
% 197.83/31.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_9) = all_57_8 & op(e2, all_57_11) =
% 197.83/31.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e2, all_57_13) = all_57_12 & op(e2,
% 197.83/31.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15) = all_57_14 & op(e2, e3) = all_57_9 &
% 197.83/31.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_11 & op(e2, e1) = all_57_13 &
% 197.83/31.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_15 & op(e1, e2) = all_57_19 &
% 197.83/31.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e2 & $i(all_57_8) & $i(all_57_9) &
% 197.83/31.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & $i(all_57_11) & $i(all_57_12) &
% 197.83/31.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13) & $i(all_57_14) & $i(all_57_15) &
% 197.83/31.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19)
% 197.83/31.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8506) implies:
% 197.83/31.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8507) op(e1, e1) = e2
% 197.83/31.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8487), (8488), (8507), (function-axioms) are
% 197.83/31.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #837.
% 197.83/31.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.83/31.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8508) op(e0, e0) = all_57_31 & $i(all_57_31) &
% 197.83/31.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_21 = e0 & ~ (all_57_23 = e1) & ~
% 197.83/31.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 197.83/31.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) &
% 197.83/31.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = all_57_23 &
% 197.83/31.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_25) = all_57_24 & op(e0,
% 197.83/31.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27) = all_57_26 & op(e0, all_57_29) =
% 197.83/31.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_28 & op(e0, all_57_31) = all_57_30 &
% 197.83/31.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_25 & op(e0, e2) =
% 197.83/31.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27 & op(e0, e1) = all_57_29 &
% 197.83/31.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23) & $i(all_57_24) & $i(all_57_25)
% 197.83/31.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_26) & $i(all_57_27) &
% 197.83/31.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28) & $i(all_57_29) & $i(all_57_30))
% 197.83/31.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e3 & ~ (all_57_0 = e3) & ~
% 197.83/31.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e2) & ~ (all_57_4 = e1) & ~
% 197.83/31.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_6 = e0) & ~ (all_57_25 = e0) & op(e3,
% 197.83/31.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1) = all_57_0 & op(e3, all_57_3) =
% 197.83/31.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_2 & op(e3, all_57_5) = all_57_4 &
% 197.83/31.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, all_57_7) = all_57_6 & op(e3, e3) =
% 197.83/31.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e2) = all_57_3 & op(e3, e1)
% 197.83/31.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_5 & op(e3, e0) = all_57_7 & op(e0,
% 197.83/31.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_25 & $i(all_57_0) &
% 197.83/31.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_2) & $i(all_57_3) &
% 197.83/31.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4) & $i(all_57_5) & $i(all_57_6) &
% 197.83/31.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7) & $i(all_57_25)) | (all_57_31 =
% 197.83/31.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_8 = e3) & ~ (all_57_10 = e2)
% 197.83/31.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_12 = e1) & ~ (all_57_14 = e0) &
% 197.83/31.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_27 = e0) & op(e2, all_57_9) =
% 197.83/31.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_8 & op(e2, all_57_11) = all_57_10 &
% 197.83/31.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_13) = all_57_12 & op(e2,
% 197.83/31.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15) = all_57_14 & op(e2, e3) =
% 197.83/31.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_9 & op(e2, e2) = all_57_11 & op(e2, e1)
% 197.83/31.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_13 & op(e2, e0) = all_57_15 & op(e0,
% 197.83/31.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_27 & $i(all_57_8) &
% 197.83/31.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9) & $i(all_57_10) & $i(all_57_11) &
% 197.83/31.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & $i(all_57_13) & $i(all_57_14)
% 197.83/31.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_15) & $i(all_57_27)) | (all_57_31
% 197.83/31.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_16 = e3) & ~ (all_57_18 =
% 197.83/31.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_20 = e1) & ~ (all_57_22 =
% 197.83/31.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_29 = e0) & op(e1,
% 197.83/31.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17) = all_57_16 & op(e1, all_57_19) =
% 197.83/31.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_18 & op(e1, all_57_21) = all_57_20 &
% 197.83/31.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_23) = all_57_22 & op(e1, e3) =
% 197.83/31.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e1, e2) = all_57_19 & op(e1,
% 197.83/31.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_21 & op(e1, e0) = all_57_23 &
% 197.83/31.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = all_57_29 & $i(all_57_16) &
% 197.83/31.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_17) & $i(all_57_18) & $i(all_57_19)
% 197.83/31.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_20) & $i(all_57_21) &
% 197.83/31.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_23) &
% 197.83/31.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29)))
% 197.83/31.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (9), (7532), (8380), (8444), (8508),
% 197.83/31.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 197.83/31.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #742.
% 197.83/31.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.83/31.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.83/31.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.83/31.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.83/31.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.83/31.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 197.83/31.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8509) op(e0, e0) = all_57_31 & $i(all_57_31) &
% 197.83/31.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_23 = e1 & ~ (all_57_21 = e0) & ~
% 197.83/31.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 197.83/31.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) &
% 197.83/31.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_21 & op(e1, e0) = e1 &
% 197.83/31.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_25) = all_57_24 & op(e0,
% 197.83/31.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27) = all_57_26 & op(e0, all_57_29) =
% 197.83/31.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_28 & op(e0, all_57_31) = all_57_30 &
% 197.83/31.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_25 & op(e0, e2) =
% 197.83/31.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27 & op(e0, e1) = all_57_29 &
% 197.83/31.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_24) & $i(all_57_25)
% 197.83/31.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_26) & $i(all_57_27) &
% 197.83/31.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28) & $i(all_57_29) & $i(all_57_30))
% 197.83/31.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_25 = e0 & ~ (all_57_0 = e3) & ~
% 197.83/31.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e2) & ~ (all_57_4 = e1) & ~
% 197.83/31.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_6 = e0) & ~ (all_57_31 = e3) & op(e3,
% 197.83/31.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1) = all_57_0 & op(e3, all_57_3) =
% 197.83/31.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_2 & op(e3, all_57_5) = all_57_4 &
% 197.83/31.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, all_57_7) = all_57_6 & op(e3, e3) =
% 197.83/31.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e2) = all_57_3 & op(e3, e1)
% 197.83/31.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_5 & op(e3, e0) = all_57_7 & op(e0,
% 197.83/31.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e0 & $i(all_57_0) & $i(all_57_1) &
% 197.83/31.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_2) & $i(all_57_3) & $i(all_57_4) &
% 197.83/31.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_6) & $i(all_57_7)) |
% 197.83/31.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_27 = e0 & ~ (all_57_8 = e3) & ~
% 197.83/31.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e2) & ~ (all_57_12 = e1) & ~
% 197.83/31.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e0) & ~ (all_57_31 = e2) &
% 197.83/31.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_9) = all_57_8 & op(e2,
% 197.83/31.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_11) = all_57_10 & op(e2, all_57_13) =
% 197.83/31.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & op(e2, all_57_15) = all_57_14 &
% 197.83/31.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_9 & op(e2, e2) = all_57_11
% 197.83/31.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = all_57_13 & op(e2, e0) =
% 197.83/31.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15 & op(e0, e2) = e0 & $i(all_57_8) &
% 198.06/31.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9) & $i(all_57_10) & $i(all_57_11) &
% 198.06/31.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & $i(all_57_13) & $i(all_57_14)
% 198.06/31.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_15)) | (all_57_29 = e0 & ~
% 198.06/31.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_16 = e3) & ~ (all_57_18 = e2) & ~
% 198.06/31.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_22 = e0) & ~
% 198.06/31.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e1) & op(e1, all_57_17) =
% 198.06/31.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_16 & op(e1, all_57_19) = all_57_18 &
% 198.06/31.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_21) = all_57_20 & op(e1,
% 198.06/31.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23) = all_57_22 & op(e1, e3) =
% 198.06/31.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e1, e2) = all_57_19 & op(e1,
% 198.06/31.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_21 & op(e1, e0) = all_57_23 &
% 198.06/31.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_16) &
% 198.06/31.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_17) & $i(all_57_18) & $i(all_57_19)
% 198.06/31.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_20) & $i(all_57_21) &
% 198.06/31.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_23)))
% 198.06/31.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.06/31.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8509) implies:
% 198.06/31.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8510) (all_57_23 = e1 & ~ (all_57_21 = e0) & ~
% 198.06/31.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 198.06/31.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) & op(e1,
% 198.06/31.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_21 & op(e1, e0) = e1 & op(e0,
% 198.06/31.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25) = all_57_24 & op(e0, all_57_27) =
% 198.06/31.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e0, all_57_29) = all_57_28 &
% 198.06/31.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_31) = all_57_30 & op(e0, e3) =
% 198.06/31.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_27 & op(e0, e1)
% 198.06/31.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_29 & $i(all_57_21) & $i(all_57_24) &
% 198.06/31.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_25) & $i(all_57_26) & $i(all_57_27) &
% 198.06/31.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28) & $i(all_57_29) & $i(all_57_30)) |
% 198.06/31.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_25 = e0 & ~ (all_57_0 = e3) & ~
% 198.06/31.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e2) & ~ (all_57_4 = e1) & ~
% 198.06/31.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_6 = e0) & ~ (all_57_31 = e3) & op(e3,
% 198.06/31.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1) = all_57_0 & op(e3, all_57_3) =
% 198.06/31.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_2 & op(e3, all_57_5) = all_57_4 & op(e3,
% 198.06/31.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7) = all_57_6 & op(e3, e3) = all_57_1 &
% 198.06/31.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_3 & op(e3, e1) = all_57_5 &
% 198.06/31.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_7 & op(e0, e3) = e0 &
% 198.06/31.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_0) & $i(all_57_1) & $i(all_57_2) &
% 198.06/31.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_3) & $i(all_57_4) & $i(all_57_5) &
% 198.06/31.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_6) & $i(all_57_7)) | (all_57_27 = e0 &
% 198.06/31.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_8 = e3) & ~ (all_57_10 = e2) & ~
% 198.06/31.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e1) & ~ (all_57_14 = e0) & ~
% 198.06/31.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e2) & op(e2, all_57_9) = all_57_8 &
% 198.06/31.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_11) = all_57_10 & op(e2,
% 198.06/31.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_13) = all_57_12 & op(e2, all_57_15) =
% 198.06/31.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_14 & op(e2, e3) = all_57_9 & op(e2, e2) =
% 198.06/31.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_11 & op(e2, e1) = all_57_13 & op(e2, e0)
% 198.06/31.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_15 & op(e0, e2) = e0 & $i(all_57_8) &
% 198.06/31.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9) & $i(all_57_10) & $i(all_57_11) &
% 198.06/31.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & $i(all_57_13) & $i(all_57_14) &
% 198.06/31.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15)) | (all_57_29 = e0 & ~ (all_57_16
% 198.06/31.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_18 = e2) & ~ (all_57_20 =
% 198.06/31.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_22 = e0) & ~ (all_57_31 =
% 198.06/31.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & op(e1, all_57_17) = all_57_16 & op(e1,
% 198.06/31.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_19) = all_57_18 & op(e1, all_57_21) =
% 198.06/31.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20 & op(e1, all_57_23) = all_57_22 &
% 198.06/31.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_17 & op(e1, e2) = all_57_19
% 198.06/31.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = all_57_21 & op(e1, e0) =
% 198.06/31.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23 & op(e0, e1) = e0 & $i(all_57_16) &
% 198.06/31.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_17) & $i(all_57_18) & $i(all_57_19) &
% 198.06/31.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_20) & $i(all_57_21) & $i(all_57_22) &
% 198.06/31.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23))
% 198.06/31.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.06/31.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (239) gives:
% 198.06/31.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.06/31.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 198.06/31.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.06/31.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8511) (all_57_1 = e2 & ~ (all_57_3 = e3) & ~ (all_57_8
% 198.06/31.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_10 = e2) & ~ (all_57_12 =
% 198.06/31.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_14 = e0) & op(e3, e3) = e2 &
% 198.06/31.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_3 & op(e2, all_57_9) =
% 198.06/31.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_8 & op(e2, all_57_11) = all_57_10 &
% 198.06/31.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_13) = all_57_12 & op(e2,
% 198.06/31.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15) = all_57_14 & op(e2, e3) = all_57_9
% 198.06/31.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = all_57_11 & op(e2, e1) =
% 198.06/31.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_13 & op(e2, e0) = all_57_15 &
% 198.06/31.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_3) & $i(all_57_8) & $i(all_57_9) &
% 198.06/31.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & $i(all_57_11) & $i(all_57_12) &
% 198.06/31.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13) & $i(all_57_14) & $i(all_57_15)) |
% 198.06/31.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e1 & ~ (all_57_5 = e3) & ~
% 198.06/31.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_16 = e3) & ~ (all_57_18 = e2) & ~
% 198.06/31.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_22 = e0) & op(e3,
% 198.06/31.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e1 & op(e3, e1) = all_57_5 & op(e1,
% 198.06/31.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17) = all_57_16 & op(e1, all_57_19) =
% 198.06/31.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_18 & op(e1, all_57_21) = all_57_20 &
% 198.06/31.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_23) = all_57_22 & op(e1, e3) =
% 198.06/31.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e1, e2) = all_57_19 & op(e1, e1)
% 198.06/31.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_21 & op(e1, e0) = all_57_23 &
% 198.06/31.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_16) & $i(all_57_17) &
% 198.06/31.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_19) & $i(all_57_20) &
% 198.06/31.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_22) & $i(all_57_23)) |
% 198.06/31.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e0 & ~ (all_57_7 = e3) & ~
% 198.06/31.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 198.06/31.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) & op(e3,
% 198.06/31.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e0 & op(e3, e0) = all_57_7 & op(e0,
% 198.06/31.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25) = all_57_24 & op(e0, all_57_27) =
% 198.06/31.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e0, all_57_29) = all_57_28 &
% 198.06/31.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_31) = all_57_30 & op(e0, e3) =
% 198.06/31.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_27 & op(e0, e1)
% 198.06/31.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_29 & op(e0, e0) = all_57_31 &
% 198.06/31.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7) & $i(all_57_24) & $i(all_57_25) &
% 198.06/31.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_27) & $i(all_57_28) &
% 198.06/31.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29) & $i(all_57_30) & $i(all_57_31)) |
% 198.06/31.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e3 & ~ (all_57_0 = e3) & ~
% 198.06/31.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e2) & ~ (all_57_4 = e1) & ~
% 198.06/31.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_6 = e0) & ~ (all_57_9 = e2) & op(e3,
% 198.06/31.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1) = all_57_0 & op(e3, all_57_3) =
% 198.06/31.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_2 & op(e3, all_57_5) = all_57_4 & op(e3,
% 198.06/31.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7) = all_57_6 & op(e3, e3) = all_57_1 &
% 198.06/31.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_3 & op(e3, e1) = all_57_5 &
% 198.06/31.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_7 & op(e2, e3) = all_57_9 &
% 198.06/31.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e3 & $i(all_57_0) & $i(all_57_1) &
% 198.06/31.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_2) & $i(all_57_3) & $i(all_57_4) &
% 198.06/31.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 198.06/31.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9))
% 198.06/31.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.06/31.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8511) gives:
% 198.06/31.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.06/31.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 198.06/31.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.06/31.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8512) (all_57_1 = e2 & ~ (all_57_3 = e3) & ~ (all_57_8
% 198.06/31.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_10 = e2) & ~ (all_57_12 =
% 198.06/31.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_14 = e0) & op(e3, e3) = e2 &
% 198.06/31.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_3 & op(e2, all_57_9) =
% 198.06/31.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_8 & op(e2, all_57_11) = all_57_10 &
% 198.06/31.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_13) = all_57_12 & op(e2,
% 198.06/31.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15) = all_57_14 & op(e2, e3) = all_57_9
% 198.06/31.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = all_57_11 & op(e2, e1) =
% 198.06/31.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_13 & op(e2, e0) = all_57_15 &
% 198.06/31.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_3) & $i(all_57_8) & $i(all_57_9) &
% 198.06/31.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & $i(all_57_11) & $i(all_57_12) &
% 198.06/31.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13) & $i(all_57_14) & $i(all_57_15)) |
% 198.06/31.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e1 & ~ (all_57_5 = e3) & ~
% 198.06/31.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_16 = e3) & ~ (all_57_18 = e2) & ~
% 198.06/31.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_22 = e0) & op(e3,
% 198.06/31.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e1 & op(e3, e1) = all_57_5 & op(e1,
% 198.06/31.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17) = all_57_16 & op(e1, all_57_19) =
% 198.06/31.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_18 & op(e1, all_57_21) = all_57_20 &
% 198.06/31.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_23) = all_57_22 & op(e1, e3) =
% 198.06/31.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e1, e2) = all_57_19 & op(e1, e1)
% 198.06/31.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_21 & op(e1, e0) = all_57_23 &
% 198.06/31.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_16) & $i(all_57_17) &
% 198.06/31.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_19) & $i(all_57_20) &
% 198.06/31.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_22) & $i(all_57_23))
% 198.06/31.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.06/31.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (8), (9), (230), (236), (8414),
% 198.06/31.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8438), (8443), (8444), (8512), (function-axioms)
% 198.06/31.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #743.
% 198.06/31.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.06/31.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 198.06/31.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.06/31.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8513) (all_57_1 = e0 & ~ (all_57_7 = e3) & ~
% 198.06/31.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 198.06/31.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) & op(e3,
% 198.06/31.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e0 & op(e3, e0) = all_57_7 & op(e0,
% 198.06/31.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25) = all_57_24 & op(e0, all_57_27) =
% 198.06/31.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e0, all_57_29) = all_57_28 &
% 198.06/31.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_31) = all_57_30 & op(e0, e3) =
% 198.06/31.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_27 & op(e0, e1)
% 198.06/31.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_29 & op(e0, e0) = all_57_31 &
% 198.06/31.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7) & $i(all_57_24) & $i(all_57_25) &
% 198.06/31.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_27) & $i(all_57_28) &
% 198.06/31.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29) & $i(all_57_30) & $i(all_57_31)) |
% 198.06/31.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e3 & ~ (all_57_0 = e3) & ~
% 198.06/31.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e2) & ~ (all_57_4 = e1) & ~
% 198.06/31.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_6 = e0) & ~ (all_57_9 = e2) & op(e3,
% 198.06/31.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1) = all_57_0 & op(e3, all_57_3) =
% 198.06/31.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_2 & op(e3, all_57_5) = all_57_4 & op(e3,
% 198.06/31.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7) = all_57_6 & op(e3, e3) = all_57_1 &
% 198.06/31.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_3 & op(e3, e1) = all_57_5 &
% 198.06/31.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_7 & op(e2, e3) = all_57_9 &
% 198.06/31.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e3 & $i(all_57_0) & $i(all_57_1) &
% 198.06/31.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_2) & $i(all_57_3) & $i(all_57_4) &
% 198.06/31.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 198.06/31.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9))
% 198.06/31.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.06/31.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8513) gives:
% 198.06/31.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.06/31.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 198.06/31.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.06/31.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8514) all_57_1 = e0 & ~ (all_57_7 = e3) & ~ (all_57_24
% 198.06/31.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_26 = e2) & ~ (all_57_28 =
% 198.06/31.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_30 = e0) & op(e3, e3) = e0 &
% 198.06/31.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_7 & op(e0, all_57_25) =
% 198.06/31.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_24 & op(e0, all_57_27) = all_57_26 & op(e0,
% 198.06/31.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_29) = all_57_28 & op(e0, all_57_31) =
% 198.06/31.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30 & op(e0, e3) = all_57_25 & op(e0, e2) =
% 198.06/31.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27 & op(e0, e1) = all_57_29 & op(e0, e0) =
% 198.06/31.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_31 & $i(all_57_7) & $i(all_57_24) &
% 198.06/31.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_25) & $i(all_57_26) & $i(all_57_27) &
% 198.06/31.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28) & $i(all_57_29) & $i(all_57_30) &
% 198.06/31.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_31)
% 198.06/31.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.06/31.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8514) implies:
% 198.06/31.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8515) op(e0, e0) = all_57_31
% 198.06/31.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8516) op(e0, e2) = all_57_27
% 198.06/31.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.06/31.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8510) gives:
% 198.06/31.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.06/31.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 198.06/31.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.06/31.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8517) (all_57_23 = e1 & ~ (all_57_21 = e0) & ~
% 198.06/31.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 198.06/31.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) & op(e1,
% 198.06/31.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_21 & op(e1, e0) = e1 & op(e0,
% 198.06/31.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25) = all_57_24 & op(e0, all_57_27) =
% 198.06/31.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e0, all_57_29) = all_57_28 &
% 198.06/31.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_31) = all_57_30 & op(e0, e3) =
% 198.06/31.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_27 & op(e0, e1)
% 198.06/31.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_29 & $i(all_57_21) & $i(all_57_24) &
% 198.06/31.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_25) & $i(all_57_26) & $i(all_57_27) &
% 198.06/31.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28) & $i(all_57_29) & $i(all_57_30)) |
% 198.06/31.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_25 = e0 & ~ (all_57_0 = e3) & ~
% 198.06/31.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e2) & ~ (all_57_4 = e1) & ~
% 198.06/31.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_6 = e0) & ~ (all_57_31 = e3) & op(e3,
% 198.06/31.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1) = all_57_0 & op(e3, all_57_3) =
% 198.06/31.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_2 & op(e3, all_57_5) = all_57_4 & op(e3,
% 198.06/31.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7) = all_57_6 & op(e3, e3) = all_57_1 &
% 198.06/31.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_3 & op(e3, e1) = all_57_5 &
% 198.06/31.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_7 & op(e0, e3) = e0 &
% 198.06/31.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_0) & $i(all_57_1) & $i(all_57_2) &
% 198.06/31.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_3) & $i(all_57_4) & $i(all_57_5) &
% 198.06/31.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_6) & $i(all_57_7))
% 198.06/31.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.06/31.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (7532), (8470), (8515), (8517),
% 198.06/31.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 198.06/31.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #880.
% 198.06/31.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.06/31.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 198.06/31.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.06/31.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8518) (all_57_27 = e0 & ~ (all_57_8 = e3) & ~
% 198.06/31.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e2) & ~ (all_57_12 = e1) & ~
% 198.06/31.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e0) & ~ (all_57_31 = e2) & op(e2,
% 198.06/31.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_9) = all_57_8 & op(e2, all_57_11) =
% 198.06/31.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e2, all_57_13) = all_57_12 &
% 198.06/31.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_15) = all_57_14 & op(e2, e3) =
% 198.06/31.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_9 & op(e2, e2) = all_57_11 & op(e2, e1) =
% 198.06/31.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_13 & op(e2, e0) = all_57_15 & op(e0, e2)
% 198.06/31.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & $i(all_57_8) & $i(all_57_9) &
% 198.06/31.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & $i(all_57_11) & $i(all_57_12) &
% 198.06/31.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13) & $i(all_57_14) & $i(all_57_15)) |
% 198.06/31.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_29 = e0 & ~ (all_57_16 = e3) & ~
% 198.06/31.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_18 = e2) & ~ (all_57_20 = e1) & ~
% 198.06/31.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_22 = e0) & ~ (all_57_31 = e1) & op(e1,
% 198.06/31.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17) = all_57_16 & op(e1, all_57_19) =
% 198.06/31.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_18 & op(e1, all_57_21) = all_57_20 &
% 198.06/31.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_23) = all_57_22 & op(e1, e3) =
% 198.06/31.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e1, e2) = all_57_19 & op(e1, e1)
% 198.06/31.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_21 & op(e1, e0) = all_57_23 & op(e0,
% 198.06/31.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0 & $i(all_57_16) & $i(all_57_17) &
% 198.06/31.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_19) & $i(all_57_20) &
% 198.06/31.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_22) & $i(all_57_23))
% 198.06/31.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.06/31.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8518) gives:
% 198.06/31.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.06/31.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 198.06/31.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.06/31.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8519) all_57_27 = e0 & ~ (all_57_8 = e3) & ~
% 198.06/31.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e2) & ~ (all_57_12 = e1) & ~
% 198.06/31.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e0) & ~ (all_57_31 = e2) & op(e2,
% 198.06/31.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_9) = all_57_8 & op(e2, all_57_11) =
% 198.06/31.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e2, all_57_13) = all_57_12 & op(e2,
% 198.06/31.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15) = all_57_14 & op(e2, e3) = all_57_9 &
% 198.06/31.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_11 & op(e2, e1) = all_57_13 &
% 198.06/31.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_15 & op(e0, e2) = e0 &
% 198.06/31.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8) & $i(all_57_9) & $i(all_57_10) &
% 198.06/31.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_12) & $i(all_57_13) &
% 198.06/31.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & $i(all_57_15)
% 198.06/31.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.06/31.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8519) implies:
% 198.06/31.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8520) all_57_27 = e0
% 198.06/31.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.06/31.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8516), (8520) imply:
% 198.06/31.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8521) op(e0, e2) = e0
% 198.06/31.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.06/31.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e1, e0, e2,
% 198.06/31.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0, simplifying with (8456), (8521) gives:
% 198.06/31.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8522) e1 = e0
% 198.06/31.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.06/31.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (8435), (8522) imply:
% 198.06/31.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8523) all_56_2 = e0
% 198.06/31.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.06/31.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (163), (231), (8375), (8414), (8450),
% 198.06/31.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8523), (function-axioms) are inconsistent by
% 198.06/31.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1179.
% 198.06/31.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.06/31.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 198.06/31.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.06/31.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8524) all_57_29 = e0 & ~ (all_57_16 = e3) & ~
% 198.06/31.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_18 = e2) & ~ (all_57_20 = e1) & ~
% 198.06/31.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_22 = e0) & ~ (all_57_31 = e1) & op(e1,
% 198.06/31.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17) = all_57_16 & op(e1, all_57_19) =
% 198.06/31.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_18 & op(e1, all_57_21) = all_57_20 & op(e1,
% 198.06/31.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23) = all_57_22 & op(e1, e3) = all_57_17
% 198.06/31.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = all_57_19 & op(e1, e1) = all_57_21
% 198.06/31.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e0) = all_57_23 & op(e0, e1) = e0 &
% 198.06/31.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_16) & $i(all_57_17) & $i(all_57_18) &
% 198.06/31.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_20) & $i(all_57_21) &
% 198.06/31.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_23)
% 198.06/31.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.06/31.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8524) implies:
% 198.06/31.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8525) ~ (all_57_20 = e1)
% 198.06/31.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8526) op(e1, e1) = all_57_21
% 198.06/31.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8527) op(e1, all_57_21) = all_57_20
% 198.06/31.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.06/31.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8380), (8525), (8526), (8527), (function-axioms)
% 198.06/31.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1953.
% 198.06/31.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.06/31.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 198.06/31.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.06/31.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 198.06/31.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.06/31.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 198.06/31.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.06/31.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8528) all_57_11 = e3 & ~ (all_57_0 = e3) & ~ (all_57_2
% 198.06/31.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2) & ~ (all_57_4 = e1) & ~ (all_57_6 = e0)
% 198.06/31.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_9 = e2) & op(e3, all_57_1) = all_57_0
% 198.06/31.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, all_57_3) = all_57_2 & op(e3, all_57_5) =
% 198.06/31.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_4 & op(e3, all_57_7) = all_57_6 & op(e3,
% 198.06/31.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_1 & op(e3, e2) = all_57_3 & op(e3,
% 198.06/31.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_5 & op(e3, e0) = all_57_7 & op(e2,
% 198.06/31.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_9 & op(e2, e2) = e3 & $i(all_57_0)
% 198.06/31.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_1) & $i(all_57_2) & $i(all_57_3) &
% 198.06/31.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4) & $i(all_57_5) & $i(all_57_6) &
% 198.06/31.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7) & $i(all_57_9)
% 198.06/31.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.06/31.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8528) implies:
% 198.06/31.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8529) ~ (all_57_2 = e2)
% 198.06/31.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8530) op(e3, e2) = all_57_3
% 198.06/31.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8531) op(e3, all_57_3) = all_57_2
% 198.06/31.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.06/31.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8444), (8529), (8530), (8531), (function-axioms)
% 198.06/31.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1383.
% 198.06/31.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.06/31.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 198.06/31.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.06/31.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 198.06/31.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.06/31.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 198.06/31.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.06/31.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8532) (all_57_11 = e1 & ~ (all_57_13 = e2) & ~
% 198.06/31.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_16 = e3) & ~ (all_57_18 = e2) & ~
% 198.06/31.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_22 = e0) & op(e2,
% 198.06/31.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e1 & op(e2, e1) = all_57_13 & op(e1,
% 198.06/31.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17) = all_57_16 & op(e1, all_57_19) =
% 198.06/31.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_18 & op(e1, all_57_21) = all_57_20 &
% 198.06/31.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_23) = all_57_22 & op(e1, e3) =
% 198.06/31.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e1, e2) = all_57_19 & op(e1, e1)
% 198.06/31.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_21 & op(e1, e0) = all_57_23 &
% 198.06/31.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13) & $i(all_57_16) & $i(all_57_17) &
% 198.06/31.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_19) & $i(all_57_20) &
% 198.06/31.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_22) & $i(all_57_23)) |
% 198.06/31.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e0 & ~ (all_57_15 = e2) & ~
% 198.06/31.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 198.06/31.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) & op(e2,
% 198.06/31.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e0 & op(e2, e0) = all_57_15 & op(e0,
% 198.06/31.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25) = all_57_24 & op(e0, all_57_27) =
% 198.06/31.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e0, all_57_29) = all_57_28 &
% 198.06/31.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_31) = all_57_30 & op(e0, e3) =
% 198.06/31.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_27 & op(e0, e1)
% 198.06/31.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_29 & op(e0, e0) = all_57_31 &
% 198.06/31.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & $i(all_57_24) & $i(all_57_25) &
% 198.06/31.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_27) & $i(all_57_28) &
% 198.06/31.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29) & $i(all_57_30) & $i(all_57_31)) |
% 198.06/31.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e3 & ~ (all_57_0 = e3) & ~
% 198.06/31.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e2) & ~ (all_57_4 = e1) & ~
% 198.06/31.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_6 = e0) & ~ (all_57_17 = e1) & op(e3,
% 198.06/31.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1) = all_57_0 & op(e3, all_57_3) =
% 198.06/31.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_2 & op(e3, all_57_5) = all_57_4 & op(e3,
% 198.06/31.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7) = all_57_6 & op(e3, e3) = all_57_1 &
% 198.06/31.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_3 & op(e3, e1) = all_57_5 &
% 198.06/31.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_7 & op(e1, e3) = all_57_17 &
% 198.06/31.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e3 & $i(all_57_0) & $i(all_57_1) &
% 198.06/31.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_2) & $i(all_57_3) & $i(all_57_4) &
% 198.06/31.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 198.06/31.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_17)) | (all_57_21 = e2 & ~ (all_57_8
% 198.06/31.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_10 = e2) & ~ (all_57_12 =
% 198.06/31.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_14 = e0) & ~ (all_57_19 =
% 198.06/31.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & op(e2, all_57_9) = all_57_8 & op(e2,
% 198.06/31.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_11) = all_57_10 & op(e2, all_57_13) =
% 198.06/31.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & op(e2, all_57_15) = all_57_14 &
% 198.06/31.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_9 & op(e2, e2) = all_57_11 &
% 198.06/31.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_57_13 & op(e2, e0) = all_57_15
% 198.06/31.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = all_57_19 & op(e1, e1) = e2 &
% 198.06/31.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8) & $i(all_57_9) & $i(all_57_10) &
% 198.06/31.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_12) & $i(all_57_13) &
% 198.06/31.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & $i(all_57_15) & $i(all_57_19)) |
% 198.06/31.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (op(e0, e0) = all_57_31 & $i(all_57_31) &
% 198.06/31.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_21 = e0 & ~ (all_57_23 = e1) & ~
% 198.06/31.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 198.06/31.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) &
% 198.06/31.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = all_57_23 &
% 198.06/31.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_25) = all_57_24 & op(e0,
% 198.06/31.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27) = all_57_26 & op(e0, all_57_29)
% 198.06/31.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_28 & op(e0, all_57_31) = all_57_30
% 198.06/31.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e3) = all_57_25 & op(e0, e2) =
% 198.06/31.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27 & op(e0, e1) = all_57_29 &
% 198.06/31.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23) & $i(all_57_24) &
% 198.06/31.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_25) & $i(all_57_26) &
% 198.06/31.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27) & $i(all_57_28) &
% 198.06/31.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29) & $i(all_57_30)) | (all_57_31
% 198.06/31.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & ~ (all_57_0 = e3) & ~ (all_57_2 =
% 198.06/31.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_4 = e1) & ~ (all_57_6 =
% 198.06/31.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_25 = e0) & op(e3,
% 198.06/31.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1) = all_57_0 & op(e3, all_57_3) =
% 198.06/31.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_2 & op(e3, all_57_5) = all_57_4 &
% 198.06/31.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, all_57_7) = all_57_6 & op(e3, e3) =
% 198.06/31.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e2) = all_57_3 & op(e3,
% 198.06/31.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_5 & op(e3, e0) = all_57_7 &
% 198.06/31.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_25 & $i(all_57_0) &
% 198.06/31.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_2) & $i(all_57_3) &
% 198.06/31.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4) & $i(all_57_5) & $i(all_57_6) &
% 198.06/31.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7) & $i(all_57_25)) | (all_57_31 =
% 198.06/31.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_8 = e3) & ~ (all_57_10 =
% 198.06/31.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_12 = e1) & ~ (all_57_14
% 198.06/31.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_27 = e0) & op(e2,
% 198.06/31.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_9) = all_57_8 & op(e2, all_57_11) =
% 198.06/31.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e2, all_57_13) = all_57_12 &
% 198.06/31.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_15) = all_57_14 & op(e2, e3) =
% 198.06/31.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_9 & op(e2, e2) = all_57_11 & op(e2,
% 198.06/31.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_13 & op(e2, e0) = all_57_15 &
% 198.06/31.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_27 & $i(all_57_8) &
% 198.06/31.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9) & $i(all_57_10) & $i(all_57_11)
% 198.06/31.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_12) & $i(all_57_13) &
% 198.06/31.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & $i(all_57_15) &
% 198.06/31.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27)) | (all_57_31 = e1 & ~
% 198.06/31.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_16 = e3) & ~ (all_57_18 = e2) & ~
% 198.06/31.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_22 = e0) & ~
% 198.06/31.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_29 = e0) & op(e1, all_57_17) =
% 198.06/31.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_16 & op(e1, all_57_19) = all_57_18 &
% 198.06/31.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_21) = all_57_20 & op(e1,
% 198.06/31.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23) = all_57_22 & op(e1, e3) =
% 198.06/31.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e1, e2) = all_57_19 & op(e1,
% 198.06/31.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_21 & op(e1, e0) = all_57_23 &
% 198.06/31.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = all_57_29 & $i(all_57_16) &
% 198.06/31.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_17) & $i(all_57_18) &
% 198.06/31.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_20) &
% 198.06/31.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_22) &
% 198.06/31.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23) & $i(all_57_29))))
% 198.06/31.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.06/31.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8532) gives:
% 198.06/31.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.06/31.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 198.06/31.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8533) (all_57_11 = e1 & ~ (all_57_13 = e2) & ~
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_16 = e3) & ~ (all_57_18 = e2) & ~
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_22 = e0) & op(e2,
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e1 & op(e2, e1) = all_57_13 & op(e1,
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17) = all_57_16 & op(e1, all_57_19) =
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_18 & op(e1, all_57_21) = all_57_20 &
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_23) = all_57_22 & op(e1, e3) =
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e1, e2) = all_57_19 & op(e1, e1)
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_21 & op(e1, e0) = all_57_23 &
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13) & $i(all_57_16) & $i(all_57_17) &
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_19) & $i(all_57_20) &
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_22) & $i(all_57_23)) |
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e0 & ~ (all_57_15 = e2) & ~
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) & op(e2,
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e0 & op(e2, e0) = all_57_15 & op(e0,
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25) = all_57_24 & op(e0, all_57_27) =
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e0, all_57_29) = all_57_28 &
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_31) = all_57_30 & op(e0, e3) =
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_27 & op(e0, e1)
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_29 & op(e0, e0) = all_57_31 &
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & $i(all_57_24) & $i(all_57_25) &
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_27) & $i(all_57_28) &
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29) & $i(all_57_30) & $i(all_57_31))
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8), (8340), (8533), (function-axioms) are
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1200.
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8534) (all_57_21 = e3 & ~ (all_57_0 = e3) & ~
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e2) & ~ (all_57_4 = e1) & ~
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_6 = e0) & ~ (all_57_17 = e1) & op(e3,
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1) = all_57_0 & op(e3, all_57_3) =
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_2 & op(e3, all_57_5) = all_57_4 & op(e3,
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7) = all_57_6 & op(e3, e3) = all_57_1 &
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_3 & op(e3, e1) = all_57_5 &
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_7 & op(e1, e3) = all_57_17 &
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e3 & $i(all_57_0) & $i(all_57_1) &
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_2) & $i(all_57_3) & $i(all_57_4) &
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_17)) | (all_57_21 = e2 & ~ (all_57_8
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_10 = e2) & ~ (all_57_12 =
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_14 = e0) & ~ (all_57_19 =
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & op(e2, all_57_9) = all_57_8 & op(e2,
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_11) = all_57_10 & op(e2, all_57_13) =
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & op(e2, all_57_15) = all_57_14 &
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_9 & op(e2, e2) = all_57_11 &
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_57_13 & op(e2, e0) = all_57_15
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = all_57_19 & op(e1, e1) = e2 &
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8) & $i(all_57_9) & $i(all_57_10) &
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_12) & $i(all_57_13) &
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & $i(all_57_15) & $i(all_57_19)) |
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (op(e0, e0) = all_57_31 & $i(all_57_31) &
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_21 = e0 & ~ (all_57_23 = e1) & ~
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) &
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = all_57_23 &
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_25) = all_57_24 & op(e0,
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27) = all_57_26 & op(e0, all_57_29)
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_28 & op(e0, all_57_31) = all_57_30
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e3) = all_57_25 & op(e0, e2) =
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27 & op(e0, e1) = all_57_29 &
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23) & $i(all_57_24) &
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_25) & $i(all_57_26) &
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27) & $i(all_57_28) &
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29) & $i(all_57_30)) | (all_57_31
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & ~ (all_57_0 = e3) & ~ (all_57_2 =
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_4 = e1) & ~ (all_57_6 =
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_25 = e0) & op(e3,
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1) = all_57_0 & op(e3, all_57_3) =
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_2 & op(e3, all_57_5) = all_57_4 &
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, all_57_7) = all_57_6 & op(e3, e3) =
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e2) = all_57_3 & op(e3,
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_5 & op(e3, e0) = all_57_7 &
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_25 & $i(all_57_0) &
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_2) & $i(all_57_3) &
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4) & $i(all_57_5) & $i(all_57_6) &
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7) & $i(all_57_25)) | (all_57_31 =
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_8 = e3) & ~ (all_57_10 =
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_12 = e1) & ~ (all_57_14
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_27 = e0) & op(e2,
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_9) = all_57_8 & op(e2, all_57_11) =
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e2, all_57_13) = all_57_12 &
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_15) = all_57_14 & op(e2, e3) =
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_9 & op(e2, e2) = all_57_11 & op(e2,
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_13 & op(e2, e0) = all_57_15 &
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_27 & $i(all_57_8) &
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9) & $i(all_57_10) & $i(all_57_11)
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_12) & $i(all_57_13) &
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & $i(all_57_15) &
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27)) | (all_57_31 = e1 & ~
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_16 = e3) & ~ (all_57_18 = e2) & ~
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_22 = e0) & ~
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_29 = e0) & op(e1, all_57_17) =
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_16 & op(e1, all_57_19) = all_57_18 &
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_21) = all_57_20 & op(e1,
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23) = all_57_22 & op(e1, e3) =
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e1, e2) = all_57_19 & op(e1,
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_21 & op(e1, e0) = all_57_23 &
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = all_57_29 & $i(all_57_16) &
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_17) & $i(all_57_18) &
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_20) &
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_22) &
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23) & $i(all_57_29))))
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8534) gives:
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8535) all_57_21 = e3 & ~ (all_57_0 = e3) & ~ (all_57_2
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2) & ~ (all_57_4 = e1) & ~ (all_57_6 = e0)
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_17 = e1) & op(e3, all_57_1) =
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_0 & op(e3, all_57_3) = all_57_2 & op(e3,
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_5) = all_57_4 & op(e3, all_57_7) =
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_6 & op(e3, e3) = all_57_1 & op(e3, e2) =
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 & op(e3, e1) = all_57_5 & op(e3, e0) =
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7 & op(e1, e3) = all_57_17 & op(e1, e1) =
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & $i(all_57_0) & $i(all_57_1) & $i(all_57_2) &
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_3) & $i(all_57_4) & $i(all_57_5) &
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_6) & $i(all_57_7) & $i(all_57_17)
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8535) implies:
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8536) op(e1, e1) = e3
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (8380), (8536), (function-axioms) are
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1958.
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8537) (all_57_21 = e2 & ~ (all_57_8 = e3) & ~
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e2) & ~ (all_57_12 = e1) & ~
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e0) & ~ (all_57_19 = e1) & op(e2,
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_9) = all_57_8 & op(e2, all_57_11) =
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e2, all_57_13) = all_57_12 &
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_15) = all_57_14 & op(e2, e3) =
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_9 & op(e2, e2) = all_57_11 & op(e2, e1) =
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_13 & op(e2, e0) = all_57_15 & op(e1, e2)
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_19 & op(e1, e1) = e2 & $i(all_57_8) &
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9) & $i(all_57_10) & $i(all_57_11) &
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & $i(all_57_13) & $i(all_57_14) &
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & $i(all_57_19)) | (op(e0, e0) =
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_31 & $i(all_57_31) & ((all_57_21 = e0 &
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_23 = e1) & ~ (all_57_24 = e3) &
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_26 = e2) & ~ (all_57_28 = e1) &
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_30 = e0) & op(e1, e1) = e0 &
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_23 & op(e0, all_57_25) =
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_24 & op(e0, all_57_27) = all_57_26 &
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_29) = all_57_28 & op(e0,
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_31) = all_57_30 & op(e0, e3) =
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_27 & op(e0,
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_29 & $i(all_57_23) &
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_24) & $i(all_57_25) &
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_27) &
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28) & $i(all_57_29) &
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_31 = e3 & ~
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_0 = e3) & ~ (all_57_2 = e2) & ~
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1) & ~ (all_57_6 = e0) & ~
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_25 = e0) & op(e3, all_57_1) =
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_0 & op(e3, all_57_3) = all_57_2 &
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, all_57_5) = all_57_4 & op(e3,
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7) = all_57_6 & op(e3, e3) =
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e2) = all_57_3 & op(e3,
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_5 & op(e3, e0) = all_57_7 &
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_25 & $i(all_57_0) &
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_2) & $i(all_57_3) &
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4) & $i(all_57_5) & $i(all_57_6) &
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7) & $i(all_57_25)) | (all_57_31 =
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_8 = e3) & ~ (all_57_10 =
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_12 = e1) & ~ (all_57_14
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_27 = e0) & op(e2,
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_9) = all_57_8 & op(e2, all_57_11) =
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e2, all_57_13) = all_57_12 &
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_15) = all_57_14 & op(e2, e3) =
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_9 & op(e2, e2) = all_57_11 & op(e2,
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_13 & op(e2, e0) = all_57_15 &
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_27 & $i(all_57_8) &
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9) & $i(all_57_10) & $i(all_57_11)
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_12) & $i(all_57_13) &
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & $i(all_57_15) &
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27)) | (all_57_31 = e1 & ~
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_16 = e3) & ~ (all_57_18 = e2) & ~
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_22 = e0) & ~
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_29 = e0) & op(e1, all_57_17) =
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_16 & op(e1, all_57_19) = all_57_18 &
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_21) = all_57_20 & op(e1,
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23) = all_57_22 & op(e1, e3) =
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e1, e2) = all_57_19 & op(e1,
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_21 & op(e1, e0) = all_57_23 &
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = all_57_29 & $i(all_57_16) &
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_17) & $i(all_57_18) &
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_20) &
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_22) &
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23) & $i(all_57_29))))
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8537) gives:
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8538) all_57_21 = e2 & ~ (all_57_8 = e3) & ~
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e2) & ~ (all_57_12 = e1) & ~
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e0) & ~ (all_57_19 = e1) & op(e2,
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_9) = all_57_8 & op(e2, all_57_11) =
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e2, all_57_13) = all_57_12 & op(e2,
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15) = all_57_14 & op(e2, e3) = all_57_9 &
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_11 & op(e2, e1) = all_57_13 &
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_15 & op(e1, e2) = all_57_19 &
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e2 & $i(all_57_8) & $i(all_57_9) &
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & $i(all_57_11) & $i(all_57_12) &
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13) & $i(all_57_14) & $i(all_57_15) &
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19)
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8538) implies:
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8539) op(e1, e1) = e2
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (8380), (8539), (function-axioms) are
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1957.
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8540) op(e0, e0) = all_57_31 & $i(all_57_31) &
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_21 = e0 & ~ (all_57_23 = e1) & ~
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) &
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = all_57_23 &
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_25) = all_57_24 & op(e0,
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27) = all_57_26 & op(e0, all_57_29) =
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_28 & op(e0, all_57_31) = all_57_30 &
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_25 & op(e0, e2) =
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27 & op(e0, e1) = all_57_29 &
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23) & $i(all_57_24) & $i(all_57_25)
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_26) & $i(all_57_27) &
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28) & $i(all_57_29) & $i(all_57_30))
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e3 & ~ (all_57_0 = e3) & ~
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e2) & ~ (all_57_4 = e1) & ~
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_6 = e0) & ~ (all_57_25 = e0) & op(e3,
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1) = all_57_0 & op(e3, all_57_3) =
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_2 & op(e3, all_57_5) = all_57_4 &
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, all_57_7) = all_57_6 & op(e3, e3) =
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e2) = all_57_3 & op(e3, e1)
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_5 & op(e3, e0) = all_57_7 & op(e0,
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_25 & $i(all_57_0) &
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_2) & $i(all_57_3) &
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4) & $i(all_57_5) & $i(all_57_6) &
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7) & $i(all_57_25)) | (all_57_31 =
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_8 = e3) & ~ (all_57_10 = e2)
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_12 = e1) & ~ (all_57_14 = e0) &
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_27 = e0) & op(e2, all_57_9) =
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_8 & op(e2, all_57_11) = all_57_10 &
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_13) = all_57_12 & op(e2,
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15) = all_57_14 & op(e2, e3) =
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_9 & op(e2, e2) = all_57_11 & op(e2, e1)
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_13 & op(e2, e0) = all_57_15 & op(e0,
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_27 & $i(all_57_8) &
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9) & $i(all_57_10) & $i(all_57_11) &
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & $i(all_57_13) & $i(all_57_14)
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_15) & $i(all_57_27)) | (all_57_31
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_16 = e3) & ~ (all_57_18 =
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_20 = e1) & ~ (all_57_22 =
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_29 = e0) & op(e1,
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17) = all_57_16 & op(e1, all_57_19) =
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_18 & op(e1, all_57_21) = all_57_20 &
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_23) = all_57_22 & op(e1, e3) =
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e1, e2) = all_57_19 & op(e1,
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_21 & op(e1, e0) = all_57_23 &
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = all_57_29 & $i(all_57_16) &
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_17) & $i(all_57_18) & $i(all_57_19)
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_20) & $i(all_57_21) &
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_23) &
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29)))
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (9), (7532), (8380), (8444), (8540),
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #742.
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8541) all_56_13 = e0 & op(e0, e2) = e0
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8541) implies:
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8542) all_56_13 = e0
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (8455), (8542) imply:
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8543) e1 = e0
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (8435), (8543) imply:
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8544) all_56_2 = e0
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (163), (231), (8375), (8414), (8450),
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8544), (function-axioms) are inconsistent by
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1179.
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8545) (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 =
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = e1)
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8545) gives:
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8546) all_56_14 = e1 & op(e0, e1) = e1
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8546) implies:
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8547) all_56_14 = e1
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (217) gives:
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8548) (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_5 = e0
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e0)
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8548) gives:
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8549) all_56_4 = e0 & op(e3, e1) = e0
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8383), (8549) are inconsistent by sub-proof
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1164.
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8550) all_56_5 = e0 & op(e2, e1) = e0
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (8422), (8550) are inconsistent by sub-proof
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #901.
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8551) (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_14 =
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0)
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8551) gives:
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8552) all_56_8 = e0 & op(e1, e1) = e0
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8552) implies:
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8553) op(e1, e1) = e0
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (8380), (8553), (function-axioms) are
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1956.
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8554) all_56_14 = e0 & op(e0, e1) = e0
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8554) implies:
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8555) all_56_14 = e0
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (8547), (8555) imply:
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8556) e1 = e0
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (8556) implies:
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8557) e1 = e0
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (8435), (8557) imply:
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8558) all_56_2 = e0
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (163), (231), (8375), (8414), (8450),
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8558), (function-axioms) are inconsistent by
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1179.
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8559) all_56_15 = e1 & op(e0, e0) = e1
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8559) implies:
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8560) op(e0, e0) = e1
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (7532), (8560), (function-axioms) are
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1699.
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8561) (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_9 = e2
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e2)
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8561) gives:
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8562) all_56_4 = e2 & op(e3, e1) = e2
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (8383), (8562) are inconsistent by sub-proof
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1163.
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8563) all_56_9 = e2 & op(e3, e0) = e2
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8563) implies:
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8564) all_56_9 = e2
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (8438), (8564) are inconsistent by sub-proof
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1789.
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8565) all_56_10 = e1 & op(e2, e0) = e1
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8565) implies:
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8566) all_56_10 = e1
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (8431), (8566) imply:
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8567) e1 = e0
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (8567) implies:
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8568) e1 = e0
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (8435), (8568) imply:
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8569) all_56_2 = e0
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (9), (163), (231), (233), (8364),
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8375), (8414), (8569), (function-axioms) are
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1178.
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8570) (all_56_11 = e1 & op(e1, e0) = e1) | (all_56_15 =
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = e1)
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (160), (7532), (8377), (8570),
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #767.
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8571) all_56_3 = e1 & op(e2, e2) = e1
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8571) implies:
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8572) op(e2, e2) = e1
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (8340), (8572), (function-axioms) are
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1684.
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8573) (all_56_5 = e1 & op(e2, e1) = e1) | (all_56_10 =
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e2, e0) = e1)
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8573) gives:
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8574) all_56_5 = e1 & op(e2, e1) = e1
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (8422), (8574) are inconsistent by sub-proof
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1495.
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8575) all_56_10 = e1 & op(e2, e0) = e1
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (8431), (8575) are inconsistent by sub-proof
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #741.
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | (8576) (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 =
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e1) = e2)
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8576) gives:
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | (8577) all_56_8 = e2 & op(e1, e1) = e2
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8577) implies:
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | (8578) op(e1, e1) = e2
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (8380), (8578), (function-axioms) are
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1957.
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | (8579) all_56_14 = e2 & op(e0, e1) = e2
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8579) implies:
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | (8580) all_56_14 = e2
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | (8581) op(e0, e1) = e2
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (217) gives:
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8582) (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_5 = e0
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e0)
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8582) gives:
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8583) all_56_4 = e0 & op(e3, e1) = e0
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8583) implies:
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8584) all_56_4 = e0
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8383), (8584) are inconsistent by sub-proof
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1255.
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8585) all_56_5 = e0 & op(e2, e1) = e0
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8585) implies:
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8586) all_56_5 = e0
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (206) gives:
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8587) all_56_15 = e0 & op(e0, e0) = e0
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8587) implies:
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8588) op(e0, e0) = e0
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (7532), (8588), (function-axioms) are
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1657.
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8589) ((all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 =
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_56_11 = e0 &
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e0)) & ((all_56_12 = e0 & op(e0,
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e0) | (all_56_13 = e0 & op(e0, e2) =
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) | (all_56_14 = e0 & op(e0, e1) = e0))
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8589) implies:
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8590) (all_56_12 = e0 & op(e0, e3) = e0) | (all_56_13 =
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0) | (all_56_14 = e0 & op(e0,
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0)
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8590) gives:
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8591) all_56_12 = e0 & op(e0, e3) = e0
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8591) implies:
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8592) op(e0, e3) = e0
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (159), (8407), (8592), (function-axioms) are
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1896.
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8593) (all_56_13 = e0 & op(e0, e2) = e0) | (all_56_14 =
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0)
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8593) gives:
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8594) all_56_13 = e0 & op(e0, e2) = e0
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8594) implies:
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8595) all_56_13 = e0
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8596) op(e0, e2) = e0
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (207) gives:
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8597) (all_56_12 = e1 & op(e0, e3) = e1) | (all_56_13 =
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e2) = e1)
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8597) gives:
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8598) all_56_12 = e1 & op(e0, e3) = e1
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8598) implies:
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8599) all_56_12 = e1
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (233) gives:
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8600) (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e2)
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8600) gives:
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8601) all_56_0 = e2 & op(e3, e3) = e2
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8601) implies:
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8602) op(e3, e3) = e2
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (8414), (8602), (function-axioms) are
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1964.
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8603) all_56_2 = e2 & op(e2, e3) = e2
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8603) implies:
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8604) all_56_2 = e2
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8605) op(e2, e3) = e2
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (226) gives:
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 198.06/31.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.06/31.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8606) (all_56_1 = e1 & op(e3, e2) = e1) | (all_56_3 = e1
% 198.06/31.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1)
% 198.06/31.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.06/31.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8606) gives:
% 198.06/31.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.06/31.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 198.06/31.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.06/31.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8607) all_56_1 = e1 & op(e3, e2) = e1
% 198.06/31.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.06/31.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8607) implies:
% 198.06/31.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8608) all_56_1 = e1
% 198.06/31.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8609) op(e3, e2) = e1
% 198.06/31.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.06/31.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (227) gives:
% 198.06/31.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.06/31.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 198.06/31.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.06/31.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8610) (all_56_1 = e2 & op(e3, e2) = e2) | (all_56_3 = e2
% 198.06/31.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e2)
% 198.06/31.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.06/31.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (9), (8340), (8608), (8610),
% 198.06/31.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 198.06/31.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1688.
% 198.06/31.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.06/31.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 198.06/31.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.06/31.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8611) (all_56_7 = e2 & op(e1, e2) = e2) | (all_56_13 =
% 198.06/31.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e2)
% 198.06/31.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.06/31.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8611) gives:
% 198.06/31.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.06/31.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 198.06/31.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.06/31.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8612) all_56_7 = e2 & op(e1, e2) = e2
% 198.06/31.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.06/31.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8612) implies:
% 198.06/31.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8613) all_56_7 = e2
% 198.06/31.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8614) op(e1, e2) = e2
% 198.06/31.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.06/31.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (222) gives:
% 198.06/31.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.06/31.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 198.06/31.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.06/31.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8615) (all_56_2 = e1 & op(e2, e3) = e1) | (all_56_3 = e1
% 198.06/31.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1)
% 198.06/31.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.06/31.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8615) gives:
% 198.06/31.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.06/31.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 198.06/31.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.06/31.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8616) all_56_2 = e1 & op(e2, e3) = e1
% 198.06/31.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.06/31.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8616) implies:
% 198.06/31.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8617) all_56_2 = e1
% 198.06/31.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.06/31.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (8604), (8617) imply:
% 198.06/31.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8618) e2 = e1
% 198.06/31.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.06/31.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (8613), (8618) imply:
% 198.06/31.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8619) all_56_7 = e1
% 198.06/31.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.06/31.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (163), (213), (215),
% 198.06/31.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (218), (222), (224), (231), (233), (8349), (8364),
% 198.06/31.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8375), (8380), (8383), (8414), (8580), (8586),
% 198.06/31.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8604), (8619), (function-axioms) are inconsistent
% 198.06/31.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #738.
% 198.06/31.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.06/31.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 198.06/31.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.06/31.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8620) all_56_3 = e1 & op(e2, e2) = e1
% 198.06/31.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.06/31.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8620) implies:
% 198.06/31.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8621) op(e2, e2) = e1
% 198.06/31.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.06/31.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (8340), (8621), (function-axioms) are
% 198.06/31.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1684.
% 198.06/31.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.06/31.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 198.06/31.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.06/31.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 198.06/31.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.06/31.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8622) (all_56_5 = e1 & op(e2, e1) = e1) | (all_56_10 =
% 198.06/31.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e2, e0) = e1)
% 198.06/31.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.06/31.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8622) gives:
% 198.06/31.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.06/31.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 198.06/31.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.06/31.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8623) all_56_5 = e1 & op(e2, e1) = e1
% 198.06/31.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.06/31.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8623) implies:
% 198.06/31.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8624) all_56_5 = e1
% 198.06/31.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.06/31.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (8586), (8624) are inconsistent by sub-proof
% 198.06/31.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1805.
% 198.06/31.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.06/31.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 198.06/31.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.06/31.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8625) all_56_10 = e1 & op(e2, e0) = e1
% 198.06/31.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.06/31.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8625) implies:
% 198.06/31.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8626) all_56_10 = e1
% 198.06/31.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8627) op(e2, e0) = e1
% 198.06/31.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.06/31.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (213) gives:
% 198.06/31.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.06/31.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 198.06/31.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.06/31.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8628) (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_7 = e0
% 198.06/31.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e0)
% 198.06/31.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.06/31.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8628) gives:
% 198.06/31.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.06/31.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 198.06/31.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.06/31.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8629) all_56_6 = e0 & op(e1, e3) = e0
% 198.06/31.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.06/31.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8629) implies:
% 198.06/31.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8630) all_56_6 = e0
% 198.06/31.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.06/31.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (8364), (8630) imply:
% 198.06/31.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8631) e3 = e0
% 198.06/31.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.06/31.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (8631) implies:
% 198.06/31.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8632) e3 = e0
% 198.06/31.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.06/31.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (8349), (8632) imply:
% 198.06/31.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8633) all_56_3 = e0
% 198.06/31.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.06/31.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8), (9), (224), (8586), (8604), (8626),
% 198.06/31.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8633) are inconsistent by sub-proof #1800.
% 198.06/31.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.06/31.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 198.06/31.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.06/31.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8634) all_56_7 = e0 & op(e1, e2) = e0
% 198.06/31.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.06/31.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8634) implies:
% 198.06/31.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8635) all_56_7 = e0
% 198.06/31.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.06/31.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (8613), (8635) imply:
% 198.06/31.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8636) e2 = e0
% 198.06/31.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.06/31.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (8604), (8636) imply:
% 198.06/31.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8637) all_56_2 = e0
% 198.06/31.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.06/31.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (9), (163), (231), (233), (8364),
% 198.06/31.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8375), (8414), (8637), (function-axioms) are
% 198.06/31.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1178.
% 198.06/31.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.06/31.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 198.06/31.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.06/31.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 198.06/31.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.06/31.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8638) (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_11 =
% 198.06/31.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e1, e0) = e0)
% 198.06/31.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.06/31.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8638) gives:
% 198.06/31.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.06/31.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 198.06/31.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.06/31.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8639) all_56_8 = e0 & op(e1, e1) = e0
% 198.06/31.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.06/31.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8639) implies:
% 198.06/31.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8640) op(e1, e1) = e0
% 198.06/31.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.06/31.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (8380), (8640), (function-axioms) are
% 198.06/31.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1956.
% 198.06/31.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.06/31.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 198.06/31.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.06/31.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8641) all_56_11 = e0 & op(e1, e0) = e0
% 198.06/31.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.06/31.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8641) implies:
% 198.06/31.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8642) all_56_11 = e0
% 198.06/31.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8643) op(e1, e0) = e0
% 198.06/31.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.06/31.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (234) gives:
% 198.06/31.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.06/31.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 198.06/31.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.06/31.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8644) (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_1 = e2
% 198.06/31.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e2)
% 198.06/31.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.06/31.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8644) gives:
% 198.06/31.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.06/31.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 198.06/31.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.06/31.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8645) all_56_0 = e2 & op(e3, e3) = e2
% 198.06/31.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.06/31.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8645) implies:
% 198.06/31.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8646) op(e3, e3) = e2
% 198.06/31.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.06/31.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (8414), (8646), (function-axioms) are
% 198.06/31.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1964.
% 198.06/31.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.06/31.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 198.06/31.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.06/31.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8647) all_56_1 = e2 & op(e3, e2) = e2
% 198.06/31.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.06/31.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8647) implies:
% 198.06/31.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8648) all_56_1 = e2
% 198.06/31.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.06/31.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (225), (226), (8340),
% 198.06/31.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8613), (8648), (function-axioms) are inconsistent
% 198.06/31.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1073.
% 198.06/31.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.06/31.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 198.06/31.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.06/31.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 198.06/31.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.06/31.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8649) (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_9 = e2
% 198.06/31.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e2)
% 198.06/31.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.06/31.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8649) gives:
% 198.06/31.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.06/31.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 198.06/31.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.06/31.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8650) all_56_4 = e2 & op(e3, e1) = e2
% 198.06/31.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.06/31.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (8383), (8650) are inconsistent by sub-proof
% 198.06/31.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1163.
% 198.06/31.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.06/31.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 198.06/31.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.06/31.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8651) all_56_9 = e2 & op(e3, e0) = e2
% 198.06/31.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.06/31.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8651) implies:
% 198.06/31.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8652) op(e3, e0) = e2
% 198.06/31.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.06/31.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_14,
% 198.06/31.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0, e0, e1, simplifying with (160), (8643) gives:
% 198.06/31.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8653) all_52_14 = e0
% 198.06/31.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.06/31.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_6, e2,
% 198.06/31.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2, e1, simplifying with (162), (8614) gives:
% 198.06/31.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8654) all_52_6 = e2
% 198.06/31.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.06/31.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_13,
% 198.06/31.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1, e0, e2, simplifying with (164), (8627) gives:
% 198.06/31.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8655) all_52_13 = e1
% 198.06/31.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.06/31.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_1, e2,
% 198.06/31.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3, e2, simplifying with (167), (8605) gives:
% 198.06/31.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8656) all_52_1 = e2
% 198.06/31.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.06/31.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_10_1, e2,
% 198.06/31.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0, e3, simplifying with (7523), (8652) gives:
% 198.06/31.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8657) all_10_1 = e2
% 198.06/31.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.06/31.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_16_1, e1,
% 198.06/31.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2, e3, simplifying with (8331), (8609) gives:
% 198.06/31.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8658) all_16_1 = e1
% 198.06/31.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.06/31.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7560), (8657) imply:
% 198.06/31.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8659) ~ (e3 = e2)
% 198.06/31.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.06/31.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8332) gives:
% 198.06/31.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.06/31.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 198.06/31.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.06/31.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8660) ~ (all_16_1 = e1)
% 198.06/31.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.06/31.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8658), (8660) imply:
% 198.06/31.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8661) $false
% 198.06/31.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.06/31.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (8661) is inconsistent.
% 198.06/31.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.06/31.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 198.06/31.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.06/31.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8662) ~ (all_16_0 = e0) & op(e1, e3) = all_16_0 &
% 198.06/31.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_16_0)
% 198.06/31.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.06/31.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8662) implies:
% 198.06/31.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8663) op(e1, e3) = all_16_0
% 198.06/31.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.06/31.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (238) gives:
% 198.06/31.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.06/31.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 198.06/31.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.06/31.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8664) (all_57_3 = e3 & ~ (all_57_1 = e2) & ~ (all_57_8
% 198.06/31.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_10 = e2) & ~ (all_57_12 =
% 198.06/31.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_14 = e0) & op(e3, e3) =
% 198.06/31.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e2) = e3 & op(e2, all_57_9) =
% 198.06/31.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_8 & op(e2, all_57_11) = all_57_10 &
% 198.06/31.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_13) = all_57_12 & op(e2,
% 198.06/31.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15) = all_57_14 & op(e2, e3) = all_57_9
% 198.06/31.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = all_57_11 & op(e2, e1) =
% 198.06/31.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_13 & op(e2, e0) = all_57_15 &
% 198.06/31.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_8) & $i(all_57_9) &
% 198.06/31.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & $i(all_57_11) & $i(all_57_12) &
% 198.06/31.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13) & $i(all_57_14) & $i(all_57_15)) |
% 198.06/31.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_5 = e3 & ~ (all_57_1 = e1) & ~
% 198.06/31.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_16 = e3) & ~ (all_57_18 = e2) & ~
% 198.06/31.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_22 = e0) & op(e3,
% 198.06/31.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_1 & op(e3, e1) = e3 & op(e1,
% 198.06/31.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17) = all_57_16 & op(e1, all_57_19) =
% 198.06/31.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_18 & op(e1, all_57_21) = all_57_20 &
% 198.06/31.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_23) = all_57_22 & op(e1, e3) =
% 198.06/31.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e1, e2) = all_57_19 & op(e1, e1)
% 198.06/31.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_21 & op(e1, e0) = all_57_23 &
% 198.06/31.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_16) & $i(all_57_17) &
% 198.06/31.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_19) & $i(all_57_20) &
% 198.06/31.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_22) & $i(all_57_23)) |
% 198.06/31.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_7 = e3 & ~ (all_57_1 = e0) & ~
% 198.06/31.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 198.06/31.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) & op(e3,
% 198.06/31.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_1 & op(e3, e0) = e3 & op(e0,
% 198.06/31.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25) = all_57_24 & op(e0, all_57_27) =
% 198.06/31.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e0, all_57_29) = all_57_28 &
% 198.06/31.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_31) = all_57_30 & op(e0, e3) =
% 198.06/31.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_27 & op(e0, e1)
% 198.06/31.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_29 & op(e0, e0) = all_57_31 &
% 198.06/31.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_24) & $i(all_57_25) &
% 198.06/31.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_27) & $i(all_57_28) &
% 198.06/31.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29) & $i(all_57_30) & $i(all_57_31)) |
% 198.06/31.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e2 & ~ (all_57_0 = e3) & ~ (all_57_2
% 198.06/31.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2) & ~ (all_57_4 = e1) & ~ (all_57_6 =
% 198.06/31.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_11 = e3) & op(e3, all_57_1) =
% 198.06/31.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_0 & op(e3, all_57_3) = all_57_2 & op(e3,
% 198.06/31.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_5) = all_57_4 & op(e3, all_57_7) =
% 198.06/31.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_6 & op(e3, e3) = all_57_1 & op(e3, e2) =
% 198.06/31.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 & op(e3, e1) = all_57_5 & op(e3, e0) =
% 198.06/31.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7 & op(e2, e3) = e2 & op(e2, e2) =
% 198.06/31.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_11 & $i(all_57_0) & $i(all_57_1) &
% 198.06/31.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_2) & $i(all_57_3) & $i(all_57_4) &
% 198.06/31.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 198.06/31.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11))
% 198.06/31.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.06/31.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8664) gives:
% 198.06/31.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.06/31.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 198.06/31.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.06/31.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8665) (all_57_3 = e3 & ~ (all_57_1 = e2) & ~ (all_57_8
% 198.06/31.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_10 = e2) & ~ (all_57_12 =
% 198.06/31.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_14 = e0) & op(e3, e3) =
% 198.06/31.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e2) = e3 & op(e2, all_57_9) =
% 198.06/31.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_8 & op(e2, all_57_11) = all_57_10 &
% 198.06/31.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_13) = all_57_12 & op(e2,
% 198.06/31.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15) = all_57_14 & op(e2, e3) = all_57_9
% 198.06/31.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = all_57_11 & op(e2, e1) =
% 198.06/31.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_13 & op(e2, e0) = all_57_15 &
% 198.06/31.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_8) & $i(all_57_9) &
% 198.06/31.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & $i(all_57_11) & $i(all_57_12) &
% 198.06/31.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13) & $i(all_57_14) & $i(all_57_15)) |
% 198.06/31.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_5 = e3 & ~ (all_57_1 = e1) & ~
% 198.06/31.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_16 = e3) & ~ (all_57_18 = e2) & ~
% 198.06/31.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_22 = e0) & op(e3,
% 198.06/31.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_1 & op(e3, e1) = e3 & op(e1,
% 198.06/31.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17) = all_57_16 & op(e1, all_57_19) =
% 198.06/31.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_18 & op(e1, all_57_21) = all_57_20 &
% 198.06/31.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_23) = all_57_22 & op(e1, e3) =
% 198.06/31.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e1, e2) = all_57_19 & op(e1, e1)
% 198.06/31.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_21 & op(e1, e0) = all_57_23 &
% 198.06/31.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_16) & $i(all_57_17) &
% 198.06/31.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_19) & $i(all_57_20) &
% 198.06/31.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_22) & $i(all_57_23))
% 198.06/31.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.06/31.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (170), (8337), (8380), (8665), (function-axioms)
% 198.06/31.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1484.
% 198.06/31.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.06/31.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 198.06/31.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.06/31.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8666) (all_57_7 = e3 & ~ (all_57_1 = e0) & ~
% 198.06/31.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 198.06/31.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) & op(e3,
% 198.06/31.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_1 & op(e3, e0) = e3 & op(e0,
% 198.06/31.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25) = all_57_24 & op(e0, all_57_27) =
% 198.06/31.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e0, all_57_29) = all_57_28 &
% 198.06/31.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_31) = all_57_30 & op(e0, e3) =
% 198.06/31.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_27 & op(e0, e1)
% 198.06/31.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_29 & op(e0, e0) = all_57_31 &
% 198.06/31.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_24) & $i(all_57_25) &
% 198.06/31.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_27) & $i(all_57_28) &
% 198.06/31.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29) & $i(all_57_30) & $i(all_57_31)) |
% 198.06/31.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e2 & ~ (all_57_0 = e3) & ~ (all_57_2
% 198.06/31.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2) & ~ (all_57_4 = e1) & ~ (all_57_6 =
% 198.06/31.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_11 = e3) & op(e3, all_57_1) =
% 198.06/31.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_0 & op(e3, all_57_3) = all_57_2 & op(e3,
% 198.06/31.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_5) = all_57_4 & op(e3, all_57_7) =
% 198.06/31.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_6 & op(e3, e3) = all_57_1 & op(e3, e2) =
% 198.06/31.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 & op(e3, e1) = all_57_5 & op(e3, e0) =
% 198.06/31.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7 & op(e2, e3) = e2 & op(e2, e2) =
% 198.06/31.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_11 & $i(all_57_0) & $i(all_57_1) &
% 198.06/31.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_2) & $i(all_57_3) & $i(all_57_4) &
% 198.06/31.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 198.06/31.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11))
% 198.06/31.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.06/31.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (8340), (8652), (8666), (function-axioms) are
% 198.06/31.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #737.
% 198.06/31.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.06/31.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 198.06/31.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.06/31.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 198.06/31.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.06/31.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8667) (all_57_13 = e2 & ~ (all_57_11 = e1) & ~
% 198.06/31.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_16 = e3) & ~ (all_57_18 = e2) & ~
% 198.06/31.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_22 = e0) & op(e2,
% 198.06/31.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_11 & op(e2, e1) = e2 & op(e1,
% 198.06/31.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17) = all_57_16 & op(e1, all_57_19) =
% 198.06/31.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_18 & op(e1, all_57_21) = all_57_20 &
% 198.06/31.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_23) = all_57_22 & op(e1, e3) =
% 198.06/31.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e1, e2) = all_57_19 & op(e1, e1)
% 198.06/31.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_21 & op(e1, e0) = all_57_23 &
% 198.06/31.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_16) & $i(all_57_17) &
% 198.06/31.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_19) & $i(all_57_20) &
% 198.06/31.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_22) & $i(all_57_23)) |
% 198.06/31.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e2 & ~ (all_57_11 = e0) & ~
% 198.06/31.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 198.06/31.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) & op(e2,
% 198.06/31.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_11 & op(e2, e0) = e2 & op(e0,
% 198.06/31.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25) = all_57_24 & op(e0, all_57_27) =
% 198.06/31.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e0, all_57_29) = all_57_28 &
% 198.06/31.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_31) = all_57_30 & op(e0, e3) =
% 198.06/31.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_27 & op(e0, e1)
% 198.06/31.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_29 & op(e0, e0) = all_57_31 &
% 198.06/31.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_24) & $i(all_57_25) &
% 198.06/31.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_27) & $i(all_57_28) &
% 198.06/31.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29) & $i(all_57_30) & $i(all_57_31)) |
% 198.06/31.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_17 = e1 & ~ (all_57_0 = e3) & ~
% 198.06/31.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e2) & ~ (all_57_4 = e1) & ~
% 198.06/31.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_6 = e0) & ~ (all_57_21 = e3) & op(e3,
% 198.06/31.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1) = all_57_0 & op(e3, all_57_3) =
% 198.06/31.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_2 & op(e3, all_57_5) = all_57_4 & op(e3,
% 198.06/31.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7) = all_57_6 & op(e3, e3) = all_57_1 &
% 198.06/31.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_3 & op(e3, e1) = all_57_5 &
% 198.06/31.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_7 & op(e1, e3) = e1 & op(e1,
% 198.06/31.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_21 & $i(all_57_0) & $i(all_57_1)
% 198.06/31.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_2) & $i(all_57_3) & $i(all_57_4) &
% 198.06/31.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 198.06/31.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21)) | (all_57_19 = e1 & ~ (all_57_8
% 198.06/31.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_10 = e2) & ~ (all_57_12 =
% 198.06/31.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_14 = e0) & ~ (all_57_21 =
% 198.06/31.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & op(e2, all_57_9) = all_57_8 & op(e2,
% 198.06/31.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_11) = all_57_10 & op(e2, all_57_13) =
% 198.06/31.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & op(e2, all_57_15) = all_57_14 &
% 198.06/31.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_9 & op(e2, e2) = all_57_11 &
% 198.06/31.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_57_13 & op(e2, e0) = all_57_15
% 198.06/31.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e1 & op(e1, e1) = all_57_21 &
% 198.06/31.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8) & $i(all_57_9) & $i(all_57_10) &
% 198.06/31.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_12) & $i(all_57_13) &
% 198.06/31.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & $i(all_57_15) & $i(all_57_21)) |
% 198.06/31.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (op(e0, e0) = all_57_31 & $i(all_57_31) &
% 198.06/31.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_23 = e1 & ~ (all_57_21 = e0) & ~
% 198.06/31.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 198.06/31.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) &
% 198.06/31.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_21 & op(e1, e0) = e1 &
% 198.06/31.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_25) = all_57_24 & op(e0,
% 198.06/31.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27) = all_57_26 & op(e0, all_57_29)
% 198.06/31.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_28 & op(e0, all_57_31) = all_57_30
% 198.06/31.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e3) = all_57_25 & op(e0, e2) =
% 198.06/31.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27 & op(e0, e1) = all_57_29 &
% 198.06/31.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_24) &
% 198.06/31.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_25) & $i(all_57_26) &
% 198.06/31.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27) & $i(all_57_28) &
% 198.06/31.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29) & $i(all_57_30)) | (all_57_25
% 198.06/31.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & ~ (all_57_0 = e3) & ~ (all_57_2 =
% 198.06/31.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_4 = e1) & ~ (all_57_6 =
% 198.06/31.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_31 = e3) & op(e3,
% 198.06/31.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1) = all_57_0 & op(e3, all_57_3) =
% 198.06/31.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_2 & op(e3, all_57_5) = all_57_4 &
% 198.06/31.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, all_57_7) = all_57_6 & op(e3, e3) =
% 198.06/31.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e2) = all_57_3 & op(e3,
% 198.06/31.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_5 & op(e3, e0) = all_57_7 &
% 198.06/31.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_0) &
% 198.06/31.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_2) & $i(all_57_3) &
% 198.06/31.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4) & $i(all_57_5) & $i(all_57_6) &
% 198.06/31.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7)) | (all_57_27 = e0 & ~
% 198.06/31.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e3) & ~ (all_57_10 = e2) & ~
% 198.06/31.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e1) & ~ (all_57_14 = e0) & ~
% 198.06/31.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e2) & op(e2, all_57_9) =
% 198.06/31.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_8 & op(e2, all_57_11) = all_57_10 &
% 198.06/31.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_13) = all_57_12 & op(e2,
% 198.06/31.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15) = all_57_14 & op(e2, e3) =
% 198.06/31.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_9 & op(e2, e2) = all_57_11 & op(e2,
% 198.06/31.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_13 & op(e2, e0) = all_57_15 &
% 198.06/31.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_8) &
% 198.06/31.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9) & $i(all_57_10) & $i(all_57_11)
% 198.06/31.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_12) & $i(all_57_13) &
% 198.06/31.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & $i(all_57_15)) | (all_57_29
% 198.06/31.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & ~ (all_57_16 = e3) & ~ (all_57_18 =
% 198.06/31.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_20 = e1) & ~ (all_57_22
% 198.06/31.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_31 = e1) & op(e1,
% 198.06/31.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17) = all_57_16 & op(e1, all_57_19)
% 198.06/31.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_18 & op(e1, all_57_21) = all_57_20
% 198.06/31.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, all_57_23) = all_57_22 & op(e1, e3)
% 198.06/31.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_17 & op(e1, e2) = all_57_19 &
% 198.06/31.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_21 & op(e1, e0) =
% 198.06/31.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23 & op(e0, e1) = e0 & $i(all_57_16)
% 198.06/31.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_17) & $i(all_57_18) &
% 198.06/31.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_20) &
% 198.06/31.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_22) &
% 198.06/31.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23))))
% 198.06/31.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.06/31.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8667) gives:
% 198.06/31.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.06/31.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 198.06/31.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.06/31.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8668) (all_57_13 = e2 & ~ (all_57_11 = e1) & ~
% 198.06/31.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_16 = e3) & ~ (all_57_18 = e2) & ~
% 198.06/31.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_22 = e0) & op(e2,
% 198.06/31.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_11 & op(e2, e1) = e2 & op(e1,
% 198.06/31.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17) = all_57_16 & op(e1, all_57_19) =
% 198.06/31.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_18 & op(e1, all_57_21) = all_57_20 &
% 198.06/31.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_23) = all_57_22 & op(e1, e3) =
% 198.06/31.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e1, e2) = all_57_19 & op(e1, e1)
% 198.06/31.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_21 & op(e1, e0) = all_57_23 &
% 198.06/31.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_16) & $i(all_57_17) &
% 198.06/31.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_19) & $i(all_57_20) &
% 198.06/31.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_22) & $i(all_57_23)) |
% 198.06/31.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e2 & ~ (all_57_11 = e0) & ~
% 198.06/31.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 198.06/31.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) & op(e2,
% 198.06/31.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_11 & op(e2, e0) = e2 & op(e0,
% 198.06/31.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25) = all_57_24 & op(e0, all_57_27) =
% 198.06/31.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e0, all_57_29) = all_57_28 &
% 198.06/31.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_31) = all_57_30 & op(e0, e3) =
% 198.06/31.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_27 & op(e0, e1)
% 198.06/31.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_29 & op(e0, e0) = all_57_31 &
% 198.06/31.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_24) & $i(all_57_25) &
% 198.06/31.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_27) & $i(all_57_28) &
% 198.06/31.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29) & $i(all_57_30) & $i(all_57_31))
% 198.06/31.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.06/31.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8668) gives:
% 198.06/31.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.06/31.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 198.06/31.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.06/31.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8669) all_57_13 = e2 & ~ (all_57_11 = e1) & ~
% 198.06/31.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_16 = e3) & ~ (all_57_18 = e2) & ~
% 198.06/31.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_22 = e0) & op(e2,
% 198.06/31.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_11 & op(e2, e1) = e2 & op(e1,
% 198.06/31.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17) = all_57_16 & op(e1, all_57_19) =
% 198.06/31.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_18 & op(e1, all_57_21) = all_57_20 & op(e1,
% 198.06/31.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23) = all_57_22 & op(e1, e3) = all_57_17
% 198.06/31.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = all_57_19 & op(e1, e1) = all_57_21
% 198.06/31.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e0) = all_57_23 & $i(all_57_11) &
% 198.06/31.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_16) & $i(all_57_17) & $i(all_57_18) &
% 198.06/31.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_20) & $i(all_57_21) &
% 198.06/31.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_23)
% 198.06/31.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.06/31.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8669) implies:
% 198.06/31.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8670) ~ (all_57_20 = e1)
% 198.06/31.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8671) op(e1, e1) = all_57_21
% 198.06/31.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8672) op(e1, all_57_21) = all_57_20
% 198.06/31.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.06/31.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8380), (8670), (8671), (8672), (function-axioms)
% 198.06/31.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1953.
% 198.06/31.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.06/31.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 198.06/31.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.06/31.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8673) all_57_15 = e2 & ~ (all_57_11 = e0) & ~
% 198.06/31.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 198.06/31.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) & op(e2,
% 198.06/31.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_11 & op(e2, e0) = e2 & op(e0,
% 198.06/31.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25) = all_57_24 & op(e0, all_57_27) =
% 198.06/31.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e0, all_57_29) = all_57_28 & op(e0,
% 198.06/31.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_31) = all_57_30 & op(e0, e3) = all_57_25
% 198.06/31.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e2) = all_57_27 & op(e0, e1) = all_57_29
% 198.06/31.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = all_57_31 & $i(all_57_11) &
% 198.06/31.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_24) & $i(all_57_25) & $i(all_57_26) &
% 198.06/31.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27) & $i(all_57_28) & $i(all_57_29) &
% 198.06/31.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30) & $i(all_57_31)
% 198.06/31.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.06/31.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8673) implies:
% 198.06/31.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8674) op(e2, e0) = e2
% 198.06/31.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.06/31.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7524) gives:
% 198.06/31.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.06/31.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 198.06/31.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.06/31.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8675) ~ (all_10_1 = e2)
% 198.06/31.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.06/31.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7523), (8652), (8675), (function-axioms) are
% 198.06/31.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #874.
% 198.06/31.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.06/31.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 198.06/31.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.06/31.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.06/31.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e1, e2, e0,
% 198.06/31.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2, simplifying with (8627), (8674) gives:
% 198.06/31.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8676) e2 = e1
% 198.06/31.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.06/31.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (8613), (8676) imply:
% 198.06/31.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8677) all_56_7 = e1
% 198.06/31.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.06/31.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (8), (9), (163), (215), (218),
% 198.06/31.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (231), (233), (8364), (8375), (8383), (8414),
% 198.06/31.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8580), (8586), (8604), (8642), (8677),
% 198.06/31.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 198.06/31.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #739.
% 198.06/31.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.06/31.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 198.06/31.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.06/31.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 198.06/31.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.06/31.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 198.06/31.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.06/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8678) (all_57_17 = e1 & ~ (all_57_0 = e3) & ~
% 198.06/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e2) & ~ (all_57_4 = e1) & ~
% 198.06/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_6 = e0) & ~ (all_57_21 = e3) & op(e3,
% 198.06/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1) = all_57_0 & op(e3, all_57_3) =
% 198.06/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_2 & op(e3, all_57_5) = all_57_4 & op(e3,
% 198.06/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7) = all_57_6 & op(e3, e3) = all_57_1 &
% 198.06/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_3 & op(e3, e1) = all_57_5 &
% 198.06/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_7 & op(e1, e3) = e1 & op(e1,
% 198.06/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_21 & $i(all_57_0) & $i(all_57_1)
% 198.06/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_2) & $i(all_57_3) & $i(all_57_4) &
% 198.06/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 198.06/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21)) | (all_57_19 = e1 & ~ (all_57_8
% 198.06/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_10 = e2) & ~ (all_57_12 =
% 198.06/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_14 = e0) & ~ (all_57_21 =
% 198.06/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & op(e2, all_57_9) = all_57_8 & op(e2,
% 198.06/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_11) = all_57_10 & op(e2, all_57_13) =
% 198.06/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & op(e2, all_57_15) = all_57_14 &
% 198.06/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_9 & op(e2, e2) = all_57_11 &
% 198.06/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_57_13 & op(e2, e0) = all_57_15
% 198.06/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e1 & op(e1, e1) = all_57_21 &
% 198.06/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8) & $i(all_57_9) & $i(all_57_10) &
% 198.06/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_12) & $i(all_57_13) &
% 198.06/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & $i(all_57_15) & $i(all_57_21)) |
% 198.06/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (op(e0, e0) = all_57_31 & $i(all_57_31) &
% 198.06/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_23 = e1 & ~ (all_57_21 = e0) & ~
% 198.06/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 198.06/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) &
% 198.06/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_21 & op(e1, e0) = e1 &
% 198.06/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_25) = all_57_24 & op(e0,
% 198.06/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27) = all_57_26 & op(e0, all_57_29)
% 198.06/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_28 & op(e0, all_57_31) = all_57_30
% 198.06/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e3) = all_57_25 & op(e0, e2) =
% 198.06/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27 & op(e0, e1) = all_57_29 &
% 198.06/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_24) &
% 198.06/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_25) & $i(all_57_26) &
% 198.06/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27) & $i(all_57_28) &
% 198.06/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29) & $i(all_57_30)) | (all_57_25
% 198.06/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & ~ (all_57_0 = e3) & ~ (all_57_2 =
% 198.06/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_4 = e1) & ~ (all_57_6 =
% 198.06/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_31 = e3) & op(e3,
% 198.06/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1) = all_57_0 & op(e3, all_57_3) =
% 198.06/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_2 & op(e3, all_57_5) = all_57_4 &
% 198.06/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, all_57_7) = all_57_6 & op(e3, e3) =
% 198.06/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e2) = all_57_3 & op(e3,
% 198.06/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_5 & op(e3, e0) = all_57_7 &
% 198.06/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_0) &
% 198.06/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_2) & $i(all_57_3) &
% 198.06/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4) & $i(all_57_5) & $i(all_57_6) &
% 198.06/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7)) | (all_57_27 = e0 & ~
% 198.06/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e3) & ~ (all_57_10 = e2) & ~
% 198.06/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e1) & ~ (all_57_14 = e0) & ~
% 198.06/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e2) & op(e2, all_57_9) =
% 198.06/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_8 & op(e2, all_57_11) = all_57_10 &
% 198.06/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_13) = all_57_12 & op(e2,
% 198.06/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15) = all_57_14 & op(e2, e3) =
% 198.06/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_9 & op(e2, e2) = all_57_11 & op(e2,
% 198.06/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_13 & op(e2, e0) = all_57_15 &
% 198.06/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_8) &
% 198.06/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9) & $i(all_57_10) & $i(all_57_11)
% 198.06/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_12) & $i(all_57_13) &
% 198.06/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & $i(all_57_15)) | (all_57_29
% 198.06/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & ~ (all_57_16 = e3) & ~ (all_57_18 =
% 198.06/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_20 = e1) & ~ (all_57_22
% 198.06/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_31 = e1) & op(e1,
% 198.06/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17) = all_57_16 & op(e1, all_57_19)
% 198.06/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_18 & op(e1, all_57_21) = all_57_20
% 198.06/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, all_57_23) = all_57_22 & op(e1, e3)
% 198.06/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_17 & op(e1, e2) = all_57_19 &
% 198.06/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_21 & op(e1, e0) =
% 198.06/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23 & op(e0, e1) = e0 & $i(all_57_16)
% 198.06/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_17) & $i(all_57_18) &
% 198.06/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_20) &
% 198.06/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_22) &
% 198.06/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23))))
% 198.06/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.06/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8678) gives:
% 198.06/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.06/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 198.06/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.06/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8679) all_57_17 = e1 & ~ (all_57_0 = e3) & ~ (all_57_2
% 198.06/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2) & ~ (all_57_4 = e1) & ~ (all_57_6 = e0)
% 198.06/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_21 = e3) & op(e3, all_57_1) =
% 198.06/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_0 & op(e3, all_57_3) = all_57_2 & op(e3,
% 198.06/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_5) = all_57_4 & op(e3, all_57_7) =
% 198.06/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_6 & op(e3, e3) = all_57_1 & op(e3, e2) =
% 198.06/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 & op(e3, e1) = all_57_5 & op(e3, e0) =
% 198.06/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7 & op(e1, e3) = e1 & op(e1, e1) =
% 198.06/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_21 & $i(all_57_0) & $i(all_57_1) &
% 198.06/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_2) & $i(all_57_3) & $i(all_57_4) &
% 198.06/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 198.06/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21)
% 198.06/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.06/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8679) implies:
% 198.06/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8680) op(e1, e3) = e1
% 198.06/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.06/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (8365), (8663), (8680), (function-axioms) are
% 198.06/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #893.
% 198.06/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.06/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 198.06/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.06/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8681) (all_57_19 = e1 & ~ (all_57_8 = e3) & ~
% 198.06/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e2) & ~ (all_57_12 = e1) & ~
% 198.06/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e0) & ~ (all_57_21 = e2) & op(e2,
% 198.06/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_9) = all_57_8 & op(e2, all_57_11) =
% 198.06/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e2, all_57_13) = all_57_12 &
% 198.06/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_15) = all_57_14 & op(e2, e3) =
% 198.06/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_9 & op(e2, e2) = all_57_11 & op(e2, e1) =
% 198.06/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_13 & op(e2, e0) = all_57_15 & op(e1, e2)
% 198.06/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & op(e1, e1) = all_57_21 & $i(all_57_8) &
% 198.06/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9) & $i(all_57_10) & $i(all_57_11) &
% 198.06/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & $i(all_57_13) & $i(all_57_14) &
% 198.06/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & $i(all_57_21)) | (op(e0, e0) =
% 198.06/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_31 & $i(all_57_31) & ((all_57_23 = e1 &
% 198.06/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_21 = e0) & ~ (all_57_24 = e3) &
% 198.06/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_26 = e2) & ~ (all_57_28 = e1) &
% 198.06/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_30 = e0) & op(e1, e1) = all_57_21
% 198.06/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e0) = e1 & op(e0, all_57_25) =
% 198.06/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_24 & op(e0, all_57_27) = all_57_26 &
% 198.06/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_29) = all_57_28 & op(e0,
% 198.06/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_31) = all_57_30 & op(e0, e3) =
% 198.06/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_27 & op(e0,
% 198.06/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_29 & $i(all_57_21) &
% 198.06/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_24) & $i(all_57_25) &
% 198.06/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_27) &
% 198.06/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28) & $i(all_57_29) &
% 198.06/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_25 = e0 & ~
% 198.06/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_0 = e3) & ~ (all_57_2 = e2) & ~
% 198.06/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1) & ~ (all_57_6 = e0) & ~
% 198.06/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e3) & op(e3, all_57_1) =
% 198.06/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_0 & op(e3, all_57_3) = all_57_2 &
% 198.06/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, all_57_5) = all_57_4 & op(e3,
% 198.06/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7) = all_57_6 & op(e3, e3) =
% 198.06/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e2) = all_57_3 & op(e3,
% 198.06/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_5 & op(e3, e0) = all_57_7 &
% 198.06/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_0) &
% 198.06/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_2) & $i(all_57_3) &
% 198.06/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4) & $i(all_57_5) & $i(all_57_6) &
% 198.06/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7)) | (all_57_27 = e0 & ~
% 198.06/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e3) & ~ (all_57_10 = e2) & ~
% 198.06/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e1) & ~ (all_57_14 = e0) & ~
% 198.06/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e2) & op(e2, all_57_9) =
% 198.06/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_8 & op(e2, all_57_11) = all_57_10 &
% 198.06/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_13) = all_57_12 & op(e2,
% 198.06/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15) = all_57_14 & op(e2, e3) =
% 198.06/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_9 & op(e2, e2) = all_57_11 & op(e2,
% 198.06/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_13 & op(e2, e0) = all_57_15 &
% 198.06/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_8) &
% 198.06/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9) & $i(all_57_10) & $i(all_57_11)
% 198.06/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_12) & $i(all_57_13) &
% 198.06/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & $i(all_57_15)) | (all_57_29
% 198.06/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & ~ (all_57_16 = e3) & ~ (all_57_18 =
% 198.06/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_20 = e1) & ~ (all_57_22
% 198.06/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_31 = e1) & op(e1,
% 198.06/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17) = all_57_16 & op(e1, all_57_19)
% 198.06/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_18 & op(e1, all_57_21) = all_57_20
% 198.06/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, all_57_23) = all_57_22 & op(e1, e3)
% 198.06/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_17 & op(e1, e2) = all_57_19 &
% 198.06/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_21 & op(e1, e0) =
% 198.06/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23 & op(e0, e1) = e0 & $i(all_57_16)
% 198.06/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_17) & $i(all_57_18) &
% 198.06/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_20) &
% 198.06/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_22) &
% 198.06/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23))))
% 198.06/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.06/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8681) gives:
% 198.06/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.06/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 198.06/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.06/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8682) all_57_19 = e1 & ~ (all_57_8 = e3) & ~
% 198.06/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e2) & ~ (all_57_12 = e1) & ~
% 198.06/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e0) & ~ (all_57_21 = e2) & op(e2,
% 198.06/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_9) = all_57_8 & op(e2, all_57_11) =
% 198.06/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e2, all_57_13) = all_57_12 & op(e2,
% 198.06/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15) = all_57_14 & op(e2, e3) = all_57_9 &
% 198.06/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_11 & op(e2, e1) = all_57_13 &
% 198.06/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_15 & op(e1, e2) = e1 & op(e1,
% 198.06/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_21 & $i(all_57_8) & $i(all_57_9) &
% 198.06/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & $i(all_57_11) & $i(all_57_12) &
% 198.06/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13) & $i(all_57_14) & $i(all_57_15) &
% 198.06/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21)
% 198.06/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.06/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8682) implies:
% 198.06/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8683) op(e1, e2) = e1
% 198.06/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.06/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e2, e1, e2,
% 198.06/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1, simplifying with (8614), (8683) gives:
% 198.06/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8684) e2 = e1
% 198.06/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.06/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (8613), (8684) imply:
% 198.06/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8685) all_56_7 = e1
% 198.06/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.06/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (8), (9), (163), (215), (218),
% 198.06/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (231), (233), (8364), (8375), (8383), (8414),
% 198.06/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8580), (8586), (8604), (8642), (8685),
% 198.06/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 198.06/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #739.
% 198.06/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.06/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 198.06/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.06/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8686) op(e0, e0) = all_57_31 & $i(all_57_31) &
% 198.06/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_23 = e1 & ~ (all_57_21 = e0) & ~
% 198.06/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 198.06/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) &
% 198.06/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_21 & op(e1, e0) = e1 &
% 198.06/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_25) = all_57_24 & op(e0,
% 198.06/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27) = all_57_26 & op(e0, all_57_29) =
% 198.06/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_28 & op(e0, all_57_31) = all_57_30 &
% 198.06/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_25 & op(e0, e2) =
% 198.06/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27 & op(e0, e1) = all_57_29 &
% 198.06/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_24) & $i(all_57_25)
% 198.06/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_26) & $i(all_57_27) &
% 198.06/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28) & $i(all_57_29) & $i(all_57_30))
% 198.06/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_25 = e0 & ~ (all_57_0 = e3) & ~
% 198.06/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e2) & ~ (all_57_4 = e1) & ~
% 198.06/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_6 = e0) & ~ (all_57_31 = e3) & op(e3,
% 198.06/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1) = all_57_0 & op(e3, all_57_3) =
% 198.06/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_2 & op(e3, all_57_5) = all_57_4 &
% 198.06/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, all_57_7) = all_57_6 & op(e3, e3) =
% 198.06/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e2) = all_57_3 & op(e3, e1)
% 198.06/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_5 & op(e3, e0) = all_57_7 & op(e0,
% 198.06/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e0 & $i(all_57_0) & $i(all_57_1) &
% 198.06/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_2) & $i(all_57_3) & $i(all_57_4) &
% 198.06/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_6) & $i(all_57_7)) |
% 198.06/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_27 = e0 & ~ (all_57_8 = e3) & ~
% 198.06/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e2) & ~ (all_57_12 = e1) & ~
% 198.06/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e0) & ~ (all_57_31 = e2) &
% 198.06/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_9) = all_57_8 & op(e2,
% 198.06/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_11) = all_57_10 & op(e2, all_57_13) =
% 198.06/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & op(e2, all_57_15) = all_57_14 &
% 198.06/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_9 & op(e2, e2) = all_57_11
% 198.06/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = all_57_13 & op(e2, e0) =
% 198.06/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15 & op(e0, e2) = e0 & $i(all_57_8) &
% 198.06/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9) & $i(all_57_10) & $i(all_57_11) &
% 198.06/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & $i(all_57_13) & $i(all_57_14)
% 198.06/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_15)) | (all_57_29 = e0 & ~
% 198.06/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_16 = e3) & ~ (all_57_18 = e2) & ~
% 198.06/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_22 = e0) & ~
% 198.06/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e1) & op(e1, all_57_17) =
% 198.06/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_16 & op(e1, all_57_19) = all_57_18 &
% 198.06/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_21) = all_57_20 & op(e1,
% 198.06/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23) = all_57_22 & op(e1, e3) =
% 198.06/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e1, e2) = all_57_19 & op(e1,
% 198.06/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_21 & op(e1, e0) = all_57_23 &
% 198.06/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_16) &
% 198.06/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_17) & $i(all_57_18) & $i(all_57_19)
% 198.06/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_20) & $i(all_57_21) &
% 198.06/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_23)))
% 198.06/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.06/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8686) implies:
% 198.06/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8687) op(e0, e0) = all_57_31
% 198.06/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8688) (all_57_23 = e1 & ~ (all_57_21 = e0) & ~
% 198.06/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 198.06/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) & op(e1,
% 198.06/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_21 & op(e1, e0) = e1 & op(e0,
% 198.06/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25) = all_57_24 & op(e0, all_57_27) =
% 198.06/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e0, all_57_29) = all_57_28 &
% 198.06/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_31) = all_57_30 & op(e0, e3) =
% 198.06/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_27 & op(e0, e1)
% 198.06/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_29 & $i(all_57_21) & $i(all_57_24) &
% 198.06/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_25) & $i(all_57_26) & $i(all_57_27) &
% 198.06/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28) & $i(all_57_29) & $i(all_57_30)) |
% 198.06/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_25 = e0 & ~ (all_57_0 = e3) & ~
% 198.06/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e2) & ~ (all_57_4 = e1) & ~
% 198.06/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_6 = e0) & ~ (all_57_31 = e3) & op(e3,
% 198.06/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1) = all_57_0 & op(e3, all_57_3) =
% 198.06/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_2 & op(e3, all_57_5) = all_57_4 & op(e3,
% 198.06/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7) = all_57_6 & op(e3, e3) = all_57_1 &
% 198.06/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_3 & op(e3, e1) = all_57_5 &
% 198.06/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_7 & op(e0, e3) = e0 &
% 198.06/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_0) & $i(all_57_1) & $i(all_57_2) &
% 198.06/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_3) & $i(all_57_4) & $i(all_57_5) &
% 198.06/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_6) & $i(all_57_7)) | (all_57_27 = e0 &
% 198.06/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_8 = e3) & ~ (all_57_10 = e2) & ~
% 198.06/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e1) & ~ (all_57_14 = e0) & ~
% 198.06/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e2) & op(e2, all_57_9) = all_57_8 &
% 198.06/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_11) = all_57_10 & op(e2,
% 198.06/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_13) = all_57_12 & op(e2, all_57_15) =
% 198.06/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_14 & op(e2, e3) = all_57_9 & op(e2, e2) =
% 198.06/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_11 & op(e2, e1) = all_57_13 & op(e2, e0)
% 198.06/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_15 & op(e0, e2) = e0 & $i(all_57_8) &
% 198.06/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9) & $i(all_57_10) & $i(all_57_11) &
% 198.06/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & $i(all_57_13) & $i(all_57_14) &
% 198.06/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15)) | (all_57_29 = e0 & ~ (all_57_16
% 198.06/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_18 = e2) & ~ (all_57_20 =
% 198.06/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_22 = e0) & ~ (all_57_31 =
% 198.06/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & op(e1, all_57_17) = all_57_16 & op(e1,
% 198.06/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_19) = all_57_18 & op(e1, all_57_21) =
% 198.06/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20 & op(e1, all_57_23) = all_57_22 &
% 198.06/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_17 & op(e1, e2) = all_57_19
% 198.06/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = all_57_21 & op(e1, e0) =
% 198.06/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23 & op(e0, e1) = e0 & $i(all_57_16) &
% 198.06/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_17) & $i(all_57_18) & $i(all_57_19) &
% 198.06/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_20) & $i(all_57_21) & $i(all_57_22) &
% 198.06/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23))
% 198.06/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.06/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7524) gives:
% 198.06/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.06/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 198.06/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.06/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8689) ~ (all_10_1 = e2)
% 198.06/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.06/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7523), (8652), (8689), (function-axioms) are
% 198.06/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #874.
% 198.06/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.06/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 198.06/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.06/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8690) ~ (all_10_0 = e1) & op(e2, e3) = all_10_0 &
% 198.06/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_10_0)
% 198.06/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.06/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8690) implies:
% 198.06/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8691) op(e2, e3) = all_10_0
% 198.06/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.06/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8688) gives:
% 198.06/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.06/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 198.06/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.06/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8692) (all_57_23 = e1 & ~ (all_57_21 = e0) & ~
% 198.06/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 198.06/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) & op(e1,
% 198.06/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_21 & op(e1, e0) = e1 & op(e0,
% 198.06/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25) = all_57_24 & op(e0, all_57_27) =
% 198.06/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e0, all_57_29) = all_57_28 &
% 198.06/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_31) = all_57_30 & op(e0, e3) =
% 198.06/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_27 & op(e0, e1)
% 198.06/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_29 & $i(all_57_21) & $i(all_57_24) &
% 198.06/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_25) & $i(all_57_26) & $i(all_57_27) &
% 198.06/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28) & $i(all_57_29) & $i(all_57_30)) |
% 198.06/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_25 = e0 & ~ (all_57_0 = e3) & ~
% 198.06/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e2) & ~ (all_57_4 = e1) & ~
% 198.06/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_6 = e0) & ~ (all_57_31 = e3) & op(e3,
% 198.06/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1) = all_57_0 & op(e3, all_57_3) =
% 198.06/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_2 & op(e3, all_57_5) = all_57_4 & op(e3,
% 198.06/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7) = all_57_6 & op(e3, e3) = all_57_1 &
% 198.06/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_3 & op(e3, e1) = all_57_5 &
% 198.06/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_7 & op(e0, e3) = e0 &
% 198.06/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_0) & $i(all_57_1) & $i(all_57_2) &
% 198.06/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_3) & $i(all_57_4) & $i(all_57_5) &
% 198.06/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_6) & $i(all_57_7))
% 198.06/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.06/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (7532), (8643), (8687), (8692),
% 198.06/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 198.06/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #875.
% 198.06/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.06/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 198.06/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.06/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8693) (all_57_27 = e0 & ~ (all_57_8 = e3) & ~
% 198.06/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e2) & ~ (all_57_12 = e1) & ~
% 198.06/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e0) & ~ (all_57_31 = e2) & op(e2,
% 198.06/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_9) = all_57_8 & op(e2, all_57_11) =
% 198.06/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e2, all_57_13) = all_57_12 &
% 198.06/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_15) = all_57_14 & op(e2, e3) =
% 198.06/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_9 & op(e2, e2) = all_57_11 & op(e2, e1) =
% 198.06/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_13 & op(e2, e0) = all_57_15 & op(e0, e2)
% 198.06/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & $i(all_57_8) & $i(all_57_9) &
% 198.06/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & $i(all_57_11) & $i(all_57_12) &
% 198.06/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13) & $i(all_57_14) & $i(all_57_15)) |
% 198.06/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_29 = e0 & ~ (all_57_16 = e3) & ~
% 198.06/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_18 = e2) & ~ (all_57_20 = e1) & ~
% 198.06/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_22 = e0) & ~ (all_57_31 = e1) & op(e1,
% 198.06/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17) = all_57_16 & op(e1, all_57_19) =
% 198.06/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_18 & op(e1, all_57_21) = all_57_20 &
% 198.06/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_23) = all_57_22 & op(e1, e3) =
% 198.06/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e1, e2) = all_57_19 & op(e1, e1)
% 198.06/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_21 & op(e1, e0) = all_57_23 & op(e0,
% 198.06/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0 & $i(all_57_16) & $i(all_57_17) &
% 198.06/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_19) & $i(all_57_20) &
% 198.06/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_22) & $i(all_57_23))
% 198.06/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.06/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8693) gives:
% 198.06/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.06/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 198.06/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.06/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8694) all_57_27 = e0 & ~ (all_57_8 = e3) & ~
% 198.06/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e2) & ~ (all_57_12 = e1) & ~
% 198.06/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e0) & ~ (all_57_31 = e2) & op(e2,
% 198.06/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_9) = all_57_8 & op(e2, all_57_11) =
% 198.06/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e2, all_57_13) = all_57_12 & op(e2,
% 198.06/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15) = all_57_14 & op(e2, e3) = all_57_9 &
% 198.06/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_11 & op(e2, e1) = all_57_13 &
% 198.06/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_15 & op(e0, e2) = e0 &
% 198.06/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8) & $i(all_57_9) & $i(all_57_10) &
% 198.06/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_12) & $i(all_57_13) &
% 198.06/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & $i(all_57_15)
% 198.06/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.06/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8694) implies:
% 198.49/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8695) ~ (all_57_10 = e2)
% 198.49/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8696) op(e2, e2) = all_57_11
% 198.49/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8697) op(e2, e3) = all_57_9
% 198.49/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8698) op(e2, all_57_11) = all_57_10
% 198.49/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.49/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e3,
% 198.49/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_11, e2, e2, simplifying with (8340), (8696)
% 198.49/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 198.49/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8699) all_57_11 = e3
% 198.49/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.49/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e2, all_57_9,
% 198.49/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3, e2, simplifying with (8605), (8697) gives:
% 198.49/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8700) all_57_9 = e2
% 198.49/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.49/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_10_0,
% 198.49/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_9, e3, e2, simplifying with (8691), (8697)
% 198.49/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 198.49/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8701) all_57_9 = all_10_0
% 198.49/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.49/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (8700), (8701) imply:
% 198.49/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8702) all_10_0 = e2
% 198.49/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.49/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8698), (8699) imply:
% 198.49/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8703) op(e2, e3) = all_57_10
% 198.49/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.49/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8605), (8695), (8703), (function-axioms) are
% 198.49/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1099.
% 198.49/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.49/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 198.49/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.49/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8704) all_57_29 = e0 & ~ (all_57_16 = e3) & ~
% 198.49/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_18 = e2) & ~ (all_57_20 = e1) & ~
% 198.49/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_22 = e0) & ~ (all_57_31 = e1) & op(e1,
% 198.49/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17) = all_57_16 & op(e1, all_57_19) =
% 198.49/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_18 & op(e1, all_57_21) = all_57_20 & op(e1,
% 198.49/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23) = all_57_22 & op(e1, e3) = all_57_17
% 198.49/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = all_57_19 & op(e1, e1) = all_57_21
% 198.49/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e0) = all_57_23 & op(e0, e1) = e0 &
% 198.49/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_16) & $i(all_57_17) & $i(all_57_18) &
% 198.49/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_20) & $i(all_57_21) &
% 198.49/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_23)
% 198.49/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.49/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8704) implies:
% 198.49/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8705) ~ (all_57_20 = e1)
% 198.49/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8706) op(e1, e1) = all_57_21
% 198.49/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8707) op(e1, all_57_21) = all_57_20
% 198.49/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.49/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8380), (8705), (8706), (8707), (function-axioms)
% 198.49/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1953.
% 198.49/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.49/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 198.49/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.49/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 198.49/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.49/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 198.49/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.49/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 198.49/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.49/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 198.49/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.49/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 198.49/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.49/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 198.49/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.49/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 198.49/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.49/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 198.49/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.49/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 198.49/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.49/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 198.49/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.49/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 198.49/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.49/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 198.49/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.49/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 198.49/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.49/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 198.49/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.49/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8708) all_56_13 = e2 & op(e0, e2) = e2
% 198.49/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.49/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8708) implies:
% 198.49/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8709) op(e0, e2) = e2
% 198.49/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.49/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (8596), (8709), (function-axioms) are
% 198.49/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1447.
% 198.49/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.49/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 198.49/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.49/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 198.49/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.49/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 198.49/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.49/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8710) all_56_3 = e1 & op(e2, e2) = e1
% 198.49/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.49/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8710) implies:
% 198.49/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8711) op(e2, e2) = e1
% 198.49/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.49/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (8340), (8711), (function-axioms) are
% 198.49/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1684.
% 198.49/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.49/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 198.49/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.49/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 198.49/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.49/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8712) (all_56_7 = e1 & op(e1, e2) = e1) | (all_56_13 =
% 198.49/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e2) = e1)
% 198.49/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.49/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8712) gives:
% 198.49/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.49/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 198.49/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.49/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8713) all_56_7 = e1 & op(e1, e2) = e1
% 198.49/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.49/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8713) implies:
% 198.49/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8714) all_56_7 = e1
% 198.49/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.49/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (163), (213), (215),
% 198.49/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (218), (222), (224), (231), (233), (8349), (8364),
% 198.49/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8375), (8380), (8383), (8414), (8580), (8586),
% 198.49/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8604), (8714), (function-axioms) are inconsistent
% 198.49/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #738.
% 198.49/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.49/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 198.49/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.49/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8715) all_56_13 = e1 & op(e0, e2) = e1
% 198.49/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.49/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8715) implies:
% 198.49/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8716) all_56_13 = e1
% 198.49/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.49/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (8595), (8716) are inconsistent by sub-proof
% 198.49/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1444.
% 198.49/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.49/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 198.49/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.49/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 198.49/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.49/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 198.49/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.49/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 198.49/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.49/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8717) (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_12 =
% 198.49/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e3) = e2)
% 198.49/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.49/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8717) gives:
% 198.49/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.49/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 198.49/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.49/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8718) all_56_6 = e2 & op(e1, e3) = e2
% 198.49/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.49/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (8364), (8718) are inconsistent by sub-proof
% 198.49/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1745.
% 198.49/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.49/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 198.49/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.49/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8719) all_56_12 = e2 & op(e0, e3) = e2
% 198.49/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.49/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (8599), (8719) are inconsistent by sub-proof
% 198.49/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #857.
% 198.49/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.49/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 198.49/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.49/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 198.49/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.49/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 198.49/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.49/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8720) all_56_13 = e1 & op(e0, e2) = e1
% 198.49/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.49/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (8595), (8720) are inconsistent by sub-proof
% 198.49/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #867.
% 198.49/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.49/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 198.49/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.49/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 198.49/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.49/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8721) (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 =
% 198.49/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = e1)
% 198.49/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.49/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (8), (7532), (8580), (8721),
% 198.49/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 198.49/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #751.
% 198.49/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.49/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 198.49/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.49/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 198.49/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.49/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8722) all_56_14 = e0 & op(e0, e1) = e0
% 198.49/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.49/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8722) implies:
% 198.49/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8723) op(e0, e1) = e0
% 198.49/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.49/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (8581), (8723), (function-axioms) are
% 198.49/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1712.
% 198.49/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.49/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 198.49/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.49/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 198.49/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.49/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 198.49/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.49/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 198.49/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.49/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 198.49/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.49/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8724) (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_14 =
% 198.49/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0)
% 198.49/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.49/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (8380), (8581), (8724),
% 198.49/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 198.49/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1028.
% 198.49/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.49/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 198.49/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.49/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 198.49/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.49/31.68 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 198.49/31.68 | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.49/31.68 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 198.49/31.68 | | | | | | | | | | | | | | | | | | | | | | | |
% 198.49/31.68 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 198.49/31.68 | | | | | | | | | | | | | | | | | | | | | | |
% 198.49/31.68 | | | | | | | | | | | | | | | | | | | | | | End of split
% 198.49/31.68 | | | | | | | | | | | | | | | | | | | | | |
% 198.49/31.68 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 198.49/31.68 | | | | | | | | | | | | | | | | | | | | | |
% 198.49/31.68 | | | | | | | | | | | | | | | | | | | | | | (8725) all_56_5 = e3 & op(e2, e1) = e3
% 198.49/31.68 | | | | | | | | | | | | | | | | | | | | | |
% 198.49/31.68 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8725) implies:
% 198.49/31.68 | | | | | | | | | | | | | | | | | | | | | | (8726) op(e2, e1) = e3
% 198.49/31.68 | | | | | | | | | | | | | | | | | | | | | |
% 198.49/31.68 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (8339), (8726), (function-axioms) are
% 198.49/31.68 | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1861.
% 198.49/31.68 | | | | | | | | | | | | | | | | | | | | | |
% 198.49/31.68 | | | | | | | | | | | | | | | | | | | | | End of split
% 198.49/31.68 | | | | | | | | | | | | | | | | | | | | |
% 198.49/31.68 | | | | | | | | | | | | | | | | | | | | Case 2:
% 198.49/31.68 | | | | | | | | | | | | | | | | | | | | |
% 198.49/31.68 | | | | | | | | | | | | | | | | | | | | | (8727) (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 =
% 198.49/31.68 | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e1) = e3)
% 198.49/31.68 | | | | | | | | | | | | | | | | | | | | |
% 198.49/31.68 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (157), (7528), (8380), (8727),
% 198.49/31.68 | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 198.49/31.68 | | | | | | | | | | | | | | | | | | | | | #1330.
% 198.49/31.68 | | | | | | | | | | | | | | | | | | | | |
% 198.49/31.68 | | | | | | | | | | | | | | | | | | | | End of split
% 198.49/31.68 | | | | | | | | | | | | | | | | | | | |
% 198.49/31.68 | | | | | | | | | | | | | | | | | | | Case 2:
% 198.49/31.68 | | | | | | | | | | | | | | | | | | | |
% 198.49/31.68 | | | | | | | | | | | | | | | | | | | | (8728) all_54_10 = e0
% 198.49/31.68 | | | | | | | | | | | | | | | | | | | |
% 198.49/31.68 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (335), (372), (8728) are inconsistent by sub-proof
% 198.49/31.68 | | | | | | | | | | | | | | | | | | | | #1950.
% 198.49/31.68 | | | | | | | | | | | | | | | | | | | |
% 198.49/31.68 | | | | | | | | | | | | | | | | | | | End of split
% 198.49/31.68 | | | | | | | | | | | | | | | | | | |
% 198.49/31.68 | | | | | | | | | | | | | | | | | | End of split
% 198.49/31.68 | | | | | | | | | | | | | | | | | |
% 198.49/31.68 | | | | | | | | | | | | | | | | | End of split
% 198.49/31.68 | | | | | | | | | | | | | | | | |
% 198.49/31.68 | | | | | | | | | | | | | | | | Case 2:
% 198.49/31.68 | | | | | | | | | | | | | | | | |
% 198.49/31.68 | | | | | | | | | | | | | | | | | (8729) all_56_7 = e3 & op(e1, e2) = e3
% 198.49/31.68 | | | | | | | | | | | | | | | | |
% 198.49/31.68 | | | | | | | | | | | | | | | | | REF_CLOSE: (162), (8338), (8729), (function-axioms) are
% 198.49/31.68 | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1827.
% 198.49/31.68 | | | | | | | | | | | | | | | | |
% 198.49/31.68 | | | | | | | | | | | | | | | | End of split
% 198.49/31.68 | | | | | | | | | | | | | | | |
% 198.49/31.68 | | | | | | | | | | | | | | | Case 2:
% 198.49/31.68 | | | | | | | | | | | | | | | |
% 198.49/31.68 | | | | | | | | | | | | | | | | (8730) (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_11 =
% 198.49/31.68 | | | | | | | | | | | | | | | | e3 & op(e1, e0) = e3)
% 198.49/31.68 | | | | | | | | | | | | | | | |
% 198.49/31.68 | | | | | | | | | | | | | | | | BETA: splitting (8730) gives:
% 198.49/31.68 | | | | | | | | | | | | | | | |
% 198.49/31.68 | | | | | | | | | | | | | | | | Case 1:
% 198.49/31.68 | | | | | | | | | | | | | | | | |
% 198.49/31.68 | | | | | | | | | | | | | | | | | (8731) all_56_8 = e3 & op(e1, e1) = e3
% 198.49/31.68 | | | | | | | | | | | | | | | | |
% 198.49/31.68 | | | | | | | | | | | | | | | | | ALPHA: (8731) implies:
% 198.49/31.68 | | | | | | | | | | | | | | | | | (8732) op(e1, e1) = e3
% 198.49/31.68 | | | | | | | | | | | | | | | | |
% 198.49/31.68 | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (194), (335), (372), (375), (8361), (8732),
% 198.49/31.68 | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 198.49/31.68 | | | | | | | | | | | | | | | | | #736.
% 198.49/31.68 | | | | | | | | | | | | | | | | |
% 198.49/31.68 | | | | | | | | | | | | | | | | Case 2:
% 198.49/31.68 | | | | | | | | | | | | | | | | |
% 198.49/31.68 | | | | | | | | | | | | | | | | | (8733) all_56_11 = e3 & op(e1, e0) = e3
% 198.49/31.68 | | | | | | | | | | | | | | | | |
% 198.49/31.68 | | | | | | | | | | | | | | | | | REF_CLOSE: (160), (7531), (8733), (function-axioms) are
% 198.49/31.68 | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1762.
% 198.49/31.68 | | | | | | | | | | | | | | | | |
% 198.49/31.68 | | | | | | | | | | | | | | | | End of split
% 198.49/31.68 | | | | | | | | | | | | | | | |
% 198.49/31.68 | | | | | | | | | | | | | | | End of split
% 198.49/31.68 | | | | | | | | | | | | | | |
% 198.49/31.68 | | | | | | | | | | | | | | Case 2:
% 198.49/31.68 | | | | | | | | | | | | | | |
% 198.49/31.68 | | | | | | | | | | | | | | | (8734) all_32_2 = e3
% 198.49/31.68 | | | | | | | | | | | | | | |
% 198.49/31.68 | | | | | | | | | | | | | | | COMBINE_EQS: (301), (8734) imply:
% 198.49/31.68 | | | | | | | | | | | | | | | (8735) all_4_2 = e3
% 198.49/31.68 | | | | | | | | | | | | | | |
% 198.49/31.68 | | | | | | | | | | | | | | | REDUCE: (362), (8735) imply:
% 198.49/31.68 | | | | | | | | | | | | | | | (8736) ~ (all_52_8 = e3)
% 198.49/31.68 | | | | | | | | | | | | | | |
% 198.49/31.68 | | | | | | | | | | | | | | | REDUCE: (36), (8735) imply:
% 198.49/31.68 | | | | | | | | | | | | | | | (8737) op(e1, e1) = e3
% 198.49/31.68 | | | | | | | | | | | | | | |
% 198.49/31.68 | | | | | | | | | | | | | | | BETA: splitting (236) gives:
% 198.49/31.68 | | | | | | | | | | | | | | |
% 198.49/31.68 | | | | | | | | | | | | | | | Case 1:
% 198.49/31.68 | | | | | | | | | | | | | | | |
% 198.49/31.68 | | | | | | | | | | | | | | | | (8738) (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_1 = e3
% 198.49/31.68 | | | | | | | | | | | | | | | | & op(e3, e2) = e3)
% 198.49/31.68 | | | | | | | | | | | | | | | |
% 198.49/31.68 | | | | | | | | | | | | | | | | BETA: splitting (8738) gives:
% 198.49/31.68 | | | | | | | | | | | | | | | |
% 198.49/31.68 | | | | | | | | | | | | | | | | Case 1:
% 198.49/31.68 | | | | | | | | | | | | | | | | |
% 198.49/31.68 | | | | | | | | | | | | | | | | | (8739) all_56_0 = e3 & op(e3, e3) = e3
% 198.49/31.68 | | | | | | | | | | | | | | | | |
% 198.49/31.68 | | | | | | | | | | | | | | | | | ALPHA: (8739) implies:
% 198.49/31.68 | | | | | | | | | | | | | | | | | (8740) op(e3, e3) = e3
% 198.49/31.68 | | | | | | | | | | | | | | | | |
% 198.49/31.68 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_14_2, e3,
% 198.49/31.68 | | | | | | | | | | | | | | | | | e3, e3, simplifying with (51), (8740) gives:
% 198.49/31.68 | | | | | | | | | | | | | | | | | (8741) all_14_2 = e3
% 198.49/31.68 | | | | | | | | | | | | | | | | |
% 198.49/31.68 | | | | | | | | | | | | | | | | | BETA: splitting (239) gives:
% 198.49/31.68 | | | | | | | | | | | | | | | | |
% 198.49/31.68 | | | | | | | | | | | | | | | | | Case 1:
% 198.49/31.68 | | | | | | | | | | | | | | | | | |
% 198.49/31.68 | | | | | | | | | | | | | | | | | | (8742) (all_57_1 = e2 & ~ (all_57_3 = e3) & ~ (all_57_8
% 198.49/31.68 | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_10 = e2) & ~ (all_57_12 =
% 198.49/31.68 | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_14 = e0) & op(e3, e3) = e2 &
% 198.49/31.68 | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_3 & op(e2, all_57_9) =
% 198.49/31.68 | | | | | | | | | | | | | | | | | | all_57_8 & op(e2, all_57_11) = all_57_10 &
% 198.49/31.68 | | | | | | | | | | | | | | | | | | op(e2, all_57_13) = all_57_12 & op(e2,
% 198.49/31.68 | | | | | | | | | | | | | | | | | | all_57_15) = all_57_14 & op(e2, e3) = all_57_9
% 198.49/31.68 | | | | | | | | | | | | | | | | | | & op(e2, e2) = all_57_11 & op(e2, e1) =
% 198.49/31.68 | | | | | | | | | | | | | | | | | | all_57_13 & op(e2, e0) = all_57_15 &
% 198.49/31.68 | | | | | | | | | | | | | | | | | | $i(all_57_3) & $i(all_57_8) & $i(all_57_9) &
% 198.49/31.68 | | | | | | | | | | | | | | | | | | $i(all_57_10) & $i(all_57_11) & $i(all_57_12) &
% 198.49/31.68 | | | | | | | | | | | | | | | | | | $i(all_57_13) & $i(all_57_14) & $i(all_57_15)) |
% 198.49/31.68 | | | | | | | | | | | | | | | | | | (all_57_1 = e1 & ~ (all_57_5 = e3) & ~
% 198.49/31.68 | | | | | | | | | | | | | | | | | | (all_57_16 = e3) & ~ (all_57_18 = e2) & ~
% 198.49/31.68 | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_22 = e0) & op(e3,
% 198.49/31.68 | | | | | | | | | | | | | | | | | | e3) = e1 & op(e3, e1) = all_57_5 & op(e1,
% 198.49/31.68 | | | | | | | | | | | | | | | | | | all_57_17) = all_57_16 & op(e1, all_57_19) =
% 198.49/31.68 | | | | | | | | | | | | | | | | | | all_57_18 & op(e1, all_57_21) = all_57_20 &
% 198.49/31.68 | | | | | | | | | | | | | | | | | | op(e1, all_57_23) = all_57_22 & op(e1, e3) =
% 198.49/31.68 | | | | | | | | | | | | | | | | | | all_57_17 & op(e1, e2) = all_57_19 & op(e1, e1)
% 198.49/31.68 | | | | | | | | | | | | | | | | | | = all_57_21 & op(e1, e0) = all_57_23 &
% 198.49/31.68 | | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_16) & $i(all_57_17) &
% 198.49/31.68 | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_19) & $i(all_57_20) &
% 198.49/31.68 | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_22) & $i(all_57_23)) |
% 198.49/31.68 | | | | | | | | | | | | | | | | | | (all_57_1 = e0 & ~ (all_57_7 = e3) & ~
% 198.49/31.68 | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 198.49/31.68 | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) & op(e3,
% 198.49/31.68 | | | | | | | | | | | | | | | | | | e3) = e0 & op(e3, e0) = all_57_7 & op(e0,
% 198.49/31.68 | | | | | | | | | | | | | | | | | | all_57_25) = all_57_24 & op(e0, all_57_27) =
% 198.49/31.68 | | | | | | | | | | | | | | | | | | all_57_26 & op(e0, all_57_29) = all_57_28 &
% 198.49/31.68 | | | | | | | | | | | | | | | | | | op(e0, all_57_31) = all_57_30 & op(e0, e3) =
% 198.49/31.68 | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_27 & op(e0, e1)
% 198.49/31.68 | | | | | | | | | | | | | | | | | | = all_57_29 & op(e0, e0) = all_57_31 &
% 198.49/31.68 | | | | | | | | | | | | | | | | | | $i(all_57_7) & $i(all_57_24) & $i(all_57_25) &
% 198.49/31.68 | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_27) & $i(all_57_28) &
% 198.49/31.68 | | | | | | | | | | | | | | | | | | $i(all_57_29) & $i(all_57_30) & $i(all_57_31)) |
% 198.49/31.68 | | | | | | | | | | | | | | | | | | (all_57_11 = e3 & ~ (all_57_0 = e3) & ~
% 198.49/31.68 | | | | | | | | | | | | | | | | | | (all_57_2 = e2) & ~ (all_57_4 = e1) & ~
% 198.49/31.68 | | | | | | | | | | | | | | | | | | (all_57_6 = e0) & ~ (all_57_9 = e2) & op(e3,
% 198.49/31.68 | | | | | | | | | | | | | | | | | | all_57_1) = all_57_0 & op(e3, all_57_3) =
% 198.49/31.68 | | | | | | | | | | | | | | | | | | all_57_2 & op(e3, all_57_5) = all_57_4 & op(e3,
% 198.49/31.68 | | | | | | | | | | | | | | | | | | all_57_7) = all_57_6 & op(e3, e3) = all_57_1 &
% 198.49/31.68 | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_3 & op(e3, e1) = all_57_5 &
% 198.49/31.68 | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_7 & op(e2, e3) = all_57_9 &
% 198.49/31.68 | | | | | | | | | | | | | | | | | | op(e2, e2) = e3 & $i(all_57_0) & $i(all_57_1) &
% 198.49/31.68 | | | | | | | | | | | | | | | | | | $i(all_57_2) & $i(all_57_3) & $i(all_57_4) &
% 198.49/31.68 | | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 198.49/31.68 | | | | | | | | | | | | | | | | | | $i(all_57_9))
% 198.49/31.68 | | | | | | | | | | | | | | | | | |
% 198.49/31.68 | | | | | | | | | | | | | | | | | | BETA: splitting (8742) gives:
% 198.49/31.68 | | | | | | | | | | | | | | | | | |
% 198.49/31.68 | | | | | | | | | | | | | | | | | | Case 1:
% 198.49/31.68 | | | | | | | | | | | | | | | | | | |
% 198.49/31.69 | | | | | | | | | | | | | | | | | | | (8743) (all_57_1 = e2 & ~ (all_57_3 = e3) & ~ (all_57_8
% 198.49/31.69 | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_10 = e2) & ~ (all_57_12 =
% 198.49/31.69 | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_14 = e0) & op(e3, e3) = e2 &
% 198.49/31.69 | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_3 & op(e2, all_57_9) =
% 198.49/31.69 | | | | | | | | | | | | | | | | | | | all_57_8 & op(e2, all_57_11) = all_57_10 &
% 198.49/31.69 | | | | | | | | | | | | | | | | | | | op(e2, all_57_13) = all_57_12 & op(e2,
% 198.49/31.69 | | | | | | | | | | | | | | | | | | | all_57_15) = all_57_14 & op(e2, e3) = all_57_9
% 198.49/31.69 | | | | | | | | | | | | | | | | | | | & op(e2, e2) = all_57_11 & op(e2, e1) =
% 198.49/31.69 | | | | | | | | | | | | | | | | | | | all_57_13 & op(e2, e0) = all_57_15 &
% 198.49/31.69 | | | | | | | | | | | | | | | | | | | $i(all_57_3) & $i(all_57_8) & $i(all_57_9) &
% 198.49/31.69 | | | | | | | | | | | | | | | | | | | $i(all_57_10) & $i(all_57_11) & $i(all_57_12) &
% 198.49/31.69 | | | | | | | | | | | | | | | | | | | $i(all_57_13) & $i(all_57_14) & $i(all_57_15)) |
% 198.49/31.69 | | | | | | | | | | | | | | | | | | | (all_57_1 = e1 & ~ (all_57_5 = e3) & ~
% 198.49/31.69 | | | | | | | | | | | | | | | | | | | (all_57_16 = e3) & ~ (all_57_18 = e2) & ~
% 198.49/31.69 | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_22 = e0) & op(e3,
% 198.49/31.69 | | | | | | | | | | | | | | | | | | | e3) = e1 & op(e3, e1) = all_57_5 & op(e1,
% 198.49/31.69 | | | | | | | | | | | | | | | | | | | all_57_17) = all_57_16 & op(e1, all_57_19) =
% 198.49/31.69 | | | | | | | | | | | | | | | | | | | all_57_18 & op(e1, all_57_21) = all_57_20 &
% 198.49/31.69 | | | | | | | | | | | | | | | | | | | op(e1, all_57_23) = all_57_22 & op(e1, e3) =
% 198.49/31.69 | | | | | | | | | | | | | | | | | | | all_57_17 & op(e1, e2) = all_57_19 & op(e1, e1)
% 198.49/31.69 | | | | | | | | | | | | | | | | | | | = all_57_21 & op(e1, e0) = all_57_23 &
% 198.49/31.69 | | | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_16) & $i(all_57_17) &
% 198.49/31.69 | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_19) & $i(all_57_20) &
% 198.49/31.69 | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_22) & $i(all_57_23))
% 198.49/31.69 | | | | | | | | | | | | | | | | | | |
% 198.49/31.69 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (51), (7561), (8740), (8743),
% 198.49/31.69 | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 198.49/31.69 | | | | | | | | | | | | | | | | | | | #1923.
% 198.49/31.69 | | | | | | | | | | | | | | | | | | |
% 198.49/31.69 | | | | | | | | | | | | | | | | | | Case 2:
% 198.49/31.69 | | | | | | | | | | | | | | | | | | |
% 198.49/31.69 | | | | | | | | | | | | | | | | | | | (8744) (all_57_1 = e0 & ~ (all_57_7 = e3) & ~
% 198.49/31.69 | | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 198.49/31.69 | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) & op(e3,
% 198.49/31.69 | | | | | | | | | | | | | | | | | | | e3) = e0 & op(e3, e0) = all_57_7 & op(e0,
% 198.49/31.69 | | | | | | | | | | | | | | | | | | | all_57_25) = all_57_24 & op(e0, all_57_27) =
% 198.49/31.69 | | | | | | | | | | | | | | | | | | | all_57_26 & op(e0, all_57_29) = all_57_28 &
% 198.49/31.69 | | | | | | | | | | | | | | | | | | | op(e0, all_57_31) = all_57_30 & op(e0, e3) =
% 198.49/31.69 | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_27 & op(e0, e1)
% 198.49/31.69 | | | | | | | | | | | | | | | | | | | = all_57_29 & op(e0, e0) = all_57_31 &
% 198.49/31.69 | | | | | | | | | | | | | | | | | | | $i(all_57_7) & $i(all_57_24) & $i(all_57_25) &
% 198.49/31.69 | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_27) & $i(all_57_28) &
% 198.49/31.69 | | | | | | | | | | | | | | | | | | | $i(all_57_29) & $i(all_57_30) & $i(all_57_31)) |
% 198.49/31.69 | | | | | | | | | | | | | | | | | | | (all_57_11 = e3 & ~ (all_57_0 = e3) & ~
% 198.49/31.69 | | | | | | | | | | | | | | | | | | | (all_57_2 = e2) & ~ (all_57_4 = e1) & ~
% 198.49/31.69 | | | | | | | | | | | | | | | | | | | (all_57_6 = e0) & ~ (all_57_9 = e2) & op(e3,
% 198.49/31.69 | | | | | | | | | | | | | | | | | | | all_57_1) = all_57_0 & op(e3, all_57_3) =
% 198.49/31.69 | | | | | | | | | | | | | | | | | | | all_57_2 & op(e3, all_57_5) = all_57_4 & op(e3,
% 198.49/31.69 | | | | | | | | | | | | | | | | | | | all_57_7) = all_57_6 & op(e3, e3) = all_57_1 &
% 198.49/31.69 | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_3 & op(e3, e1) = all_57_5 &
% 198.49/31.69 | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_7 & op(e2, e3) = all_57_9 &
% 198.49/31.69 | | | | | | | | | | | | | | | | | | | op(e2, e2) = e3 & $i(all_57_0) & $i(all_57_1) &
% 198.49/31.69 | | | | | | | | | | | | | | | | | | | $i(all_57_2) & $i(all_57_3) & $i(all_57_4) &
% 198.49/31.69 | | | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 198.49/31.69 | | | | | | | | | | | | | | | | | | | $i(all_57_9))
% 198.49/31.69 | | | | | | | | | | | | | | | | | | |
% 198.49/31.69 | | | | | | | | | | | | | | | | | | | BETA: splitting (8744) gives:
% 198.49/31.69 | | | | | | | | | | | | | | | | | | |
% 198.49/31.69 | | | | | | | | | | | | | | | | | | | Case 1:
% 198.49/31.69 | | | | | | | | | | | | | | | | | | | |
% 198.49/31.69 | | | | | | | | | | | | | | | | | | | | (8745) all_57_1 = e0 & ~ (all_57_7 = e3) & ~ (all_57_24
% 198.49/31.69 | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_26 = e2) & ~ (all_57_28 =
% 198.49/31.69 | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_30 = e0) & op(e3, e3) = e0 &
% 198.49/31.69 | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_7 & op(e0, all_57_25) =
% 198.49/31.69 | | | | | | | | | | | | | | | | | | | | all_57_24 & op(e0, all_57_27) = all_57_26 & op(e0,
% 198.49/31.69 | | | | | | | | | | | | | | | | | | | | all_57_29) = all_57_28 & op(e0, all_57_31) =
% 198.49/31.69 | | | | | | | | | | | | | | | | | | | | all_57_30 & op(e0, e3) = all_57_25 & op(e0, e2) =
% 198.49/31.69 | | | | | | | | | | | | | | | | | | | | all_57_27 & op(e0, e1) = all_57_29 & op(e0, e0) =
% 198.49/31.69 | | | | | | | | | | | | | | | | | | | | all_57_31 & $i(all_57_7) & $i(all_57_24) &
% 198.49/31.69 | | | | | | | | | | | | | | | | | | | | $i(all_57_25) & $i(all_57_26) & $i(all_57_27) &
% 198.49/31.69 | | | | | | | | | | | | | | | | | | | | $i(all_57_28) & $i(all_57_29) & $i(all_57_30) &
% 198.49/31.69 | | | | | | | | | | | | | | | | | | | | $i(all_57_31)
% 198.49/31.69 | | | | | | | | | | | | | | | | | | | |
% 198.49/31.69 | | | | | | | | | | | | | | | | | | | | ALPHA: (8745) implies:
% 198.49/31.69 | | | | | | | | | | | | | | | | | | | | (8746) op(e3, e3) = e0
% 198.49/31.69 | | | | | | | | | | | | | | | | | | | |
% 198.49/31.69 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8740), (8746), (function-axioms) are
% 198.49/31.69 | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1922.
% 198.49/31.69 | | | | | | | | | | | | | | | | | | | |
% 198.49/31.69 | | | | | | | | | | | | | | | | | | | Case 2:
% 198.49/31.69 | | | | | | | | | | | | | | | | | | | |
% 198.49/31.69 | | | | | | | | | | | | | | | | | | | | (8747) all_57_11 = e3 & ~ (all_57_0 = e3) & ~ (all_57_2
% 198.49/31.69 | | | | | | | | | | | | | | | | | | | | = e2) & ~ (all_57_4 = e1) & ~ (all_57_6 = e0)
% 198.49/31.69 | | | | | | | | | | | | | | | | | | | | & ~ (all_57_9 = e2) & op(e3, all_57_1) = all_57_0
% 198.49/31.69 | | | | | | | | | | | | | | | | | | | | & op(e3, all_57_3) = all_57_2 & op(e3, all_57_5) =
% 198.49/31.69 | | | | | | | | | | | | | | | | | | | | all_57_4 & op(e3, all_57_7) = all_57_6 & op(e3,
% 198.49/31.69 | | | | | | | | | | | | | | | | | | | | e3) = all_57_1 & op(e3, e2) = all_57_3 & op(e3,
% 198.49/31.69 | | | | | | | | | | | | | | | | | | | | e1) = all_57_5 & op(e3, e0) = all_57_7 & op(e2,
% 198.49/31.69 | | | | | | | | | | | | | | | | | | | | e3) = all_57_9 & op(e2, e2) = e3 & $i(all_57_0)
% 198.49/31.69 | | | | | | | | | | | | | | | | | | | | & $i(all_57_1) & $i(all_57_2) & $i(all_57_3) &
% 198.49/31.69 | | | | | | | | | | | | | | | | | | | | $i(all_57_4) & $i(all_57_5) & $i(all_57_6) &
% 198.49/31.69 | | | | | | | | | | | | | | | | | | | | $i(all_57_7) & $i(all_57_9)
% 198.49/31.69 | | | | | | | | | | | | | | | | | | | |
% 198.49/31.69 | | | | | | | | | | | | | | | | | | | | ALPHA: (8747) implies:
% 198.49/31.69 | | | | | | | | | | | | | | | | | | | | (8748) ~ (all_57_0 = e3)
% 198.49/31.69 | | | | | | | | | | | | | | | | | | | | (8749) op(e3, e3) = all_57_1
% 198.49/31.69 | | | | | | | | | | | | | | | | | | | | (8750) op(e3, all_57_1) = all_57_0
% 198.49/31.69 | | | | | | | | | | | | | | | | | | | |
% 198.49/31.69 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e3, all_57_1,
% 198.49/31.69 | | | | | | | | | | | | | | | | | | | | e3, e3, simplifying with (8740), (8749) gives:
% 198.49/31.69 | | | | | | | | | | | | | | | | | | | | (8751) all_57_1 = e3
% 198.49/31.69 | | | | | | | | | | | | | | | | | | | |
% 198.49/31.69 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8748), (8749), (8750), (8751), (function-axioms)
% 198.49/31.69 | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1920.
% 198.49/31.69 | | | | | | | | | | | | | | | | | | | |
% 198.49/31.69 | | | | | | | | | | | | | | | | | | | End of split
% 198.49/31.69 | | | | | | | | | | | | | | | | | | |
% 198.49/31.69 | | | | | | | | | | | | | | | | | | End of split
% 198.49/31.69 | | | | | | | | | | | | | | | | | |
% 198.49/31.69 | | | | | | | | | | | | | | | | | Case 2:
% 198.49/31.69 | | | | | | | | | | | | | | | | | |
% 198.49/31.69 | | | | | | | | | | | | | | | | | | (8752) (all_57_11 = e1 & ~ (all_57_13 = e2) & ~
% 198.49/31.69 | | | | | | | | | | | | | | | | | | (all_57_16 = e3) & ~ (all_57_18 = e2) & ~
% 198.49/31.69 | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_22 = e0) & op(e2,
% 198.49/31.69 | | | | | | | | | | | | | | | | | | e2) = e1 & op(e2, e1) = all_57_13 & op(e1,
% 198.49/31.69 | | | | | | | | | | | | | | | | | | all_57_17) = all_57_16 & op(e1, all_57_19) =
% 198.49/31.69 | | | | | | | | | | | | | | | | | | all_57_18 & op(e1, all_57_21) = all_57_20 &
% 198.49/31.69 | | | | | | | | | | | | | | | | | | op(e1, all_57_23) = all_57_22 & op(e1, e3) =
% 198.49/31.69 | | | | | | | | | | | | | | | | | | all_57_17 & op(e1, e2) = all_57_19 & op(e1, e1)
% 198.49/31.69 | | | | | | | | | | | | | | | | | | = all_57_21 & op(e1, e0) = all_57_23 &
% 198.49/31.69 | | | | | | | | | | | | | | | | | | $i(all_57_13) & $i(all_57_16) & $i(all_57_17) &
% 198.49/31.69 | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_19) & $i(all_57_20) &
% 198.49/31.69 | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_22) & $i(all_57_23)) |
% 198.49/31.69 | | | | | | | | | | | | | | | | | | (all_57_11 = e0 & ~ (all_57_15 = e2) & ~
% 198.49/31.69 | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 198.49/31.69 | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) & op(e2,
% 198.49/31.69 | | | | | | | | | | | | | | | | | | e2) = e0 & op(e2, e0) = all_57_15 & op(e0,
% 198.49/31.69 | | | | | | | | | | | | | | | | | | all_57_25) = all_57_24 & op(e0, all_57_27) =
% 198.49/31.69 | | | | | | | | | | | | | | | | | | all_57_26 & op(e0, all_57_29) = all_57_28 &
% 198.49/31.69 | | | | | | | | | | | | | | | | | | op(e0, all_57_31) = all_57_30 & op(e0, e3) =
% 198.49/31.69 | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_27 & op(e0, e1)
% 198.49/31.69 | | | | | | | | | | | | | | | | | | = all_57_29 & op(e0, e0) = all_57_31 &
% 198.49/31.69 | | | | | | | | | | | | | | | | | | $i(all_57_15) & $i(all_57_24) & $i(all_57_25) &
% 198.49/31.69 | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_27) & $i(all_57_28) &
% 198.49/31.69 | | | | | | | | | | | | | | | | | | $i(all_57_29) & $i(all_57_30) & $i(all_57_31)) |
% 198.49/31.69 | | | | | | | | | | | | | | | | | | (all_57_21 = e3 & ~ (all_57_0 = e3) & ~
% 198.49/31.69 | | | | | | | | | | | | | | | | | | (all_57_2 = e2) & ~ (all_57_4 = e1) & ~
% 198.49/31.69 | | | | | | | | | | | | | | | | | | (all_57_6 = e0) & ~ (all_57_17 = e1) & op(e3,
% 198.49/31.69 | | | | | | | | | | | | | | | | | | all_57_1) = all_57_0 & op(e3, all_57_3) =
% 198.49/31.69 | | | | | | | | | | | | | | | | | | all_57_2 & op(e3, all_57_5) = all_57_4 & op(e3,
% 198.49/31.69 | | | | | | | | | | | | | | | | | | all_57_7) = all_57_6 & op(e3, e3) = all_57_1 &
% 198.49/31.69 | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_3 & op(e3, e1) = all_57_5 &
% 198.49/31.69 | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_7 & op(e1, e3) = all_57_17 &
% 198.49/31.69 | | | | | | | | | | | | | | | | | | op(e1, e1) = e3 & $i(all_57_0) & $i(all_57_1) &
% 198.49/31.69 | | | | | | | | | | | | | | | | | | $i(all_57_2) & $i(all_57_3) & $i(all_57_4) &
% 198.49/31.69 | | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 198.49/31.69 | | | | | | | | | | | | | | | | | | $i(all_57_17)) | (all_57_21 = e2 & ~ (all_57_8
% 198.49/31.69 | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_10 = e2) & ~ (all_57_12 =
% 198.49/31.69 | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_14 = e0) & ~ (all_57_19 =
% 198.49/31.69 | | | | | | | | | | | | | | | | | | e1) & op(e2, all_57_9) = all_57_8 & op(e2,
% 198.49/31.69 | | | | | | | | | | | | | | | | | | all_57_11) = all_57_10 & op(e2, all_57_13) =
% 198.49/31.69 | | | | | | | | | | | | | | | | | | all_57_12 & op(e2, all_57_15) = all_57_14 &
% 198.49/31.69 | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_9 & op(e2, e2) = all_57_11 &
% 198.49/31.69 | | | | | | | | | | | | | | | | | | op(e2, e1) = all_57_13 & op(e2, e0) = all_57_15
% 198.49/31.69 | | | | | | | | | | | | | | | | | | & op(e1, e2) = all_57_19 & op(e1, e1) = e2 &
% 198.49/31.69 | | | | | | | | | | | | | | | | | | $i(all_57_8) & $i(all_57_9) & $i(all_57_10) &
% 198.49/31.69 | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_12) & $i(all_57_13) &
% 198.49/31.69 | | | | | | | | | | | | | | | | | | $i(all_57_14) & $i(all_57_15) & $i(all_57_19)) |
% 198.49/31.69 | | | | | | | | | | | | | | | | | | (op(e0, e0) = all_57_31 & $i(all_57_31) &
% 198.49/31.69 | | | | | | | | | | | | | | | | | | ((all_57_21 = e0 & ~ (all_57_23 = e1) & ~
% 198.49/31.69 | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 198.49/31.69 | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) &
% 198.49/31.69 | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = all_57_23 &
% 198.49/31.69 | | | | | | | | | | | | | | | | | | op(e0, all_57_25) = all_57_24 & op(e0,
% 198.49/31.69 | | | | | | | | | | | | | | | | | | all_57_27) = all_57_26 & op(e0, all_57_29)
% 198.49/31.69 | | | | | | | | | | | | | | | | | | = all_57_28 & op(e0, all_57_31) = all_57_30
% 198.49/31.69 | | | | | | | | | | | | | | | | | | & op(e0, e3) = all_57_25 & op(e0, e2) =
% 198.49/31.69 | | | | | | | | | | | | | | | | | | all_57_27 & op(e0, e1) = all_57_29 &
% 198.49/31.69 | | | | | | | | | | | | | | | | | | $i(all_57_23) & $i(all_57_24) &
% 198.49/31.69 | | | | | | | | | | | | | | | | | | $i(all_57_25) & $i(all_57_26) &
% 198.49/31.69 | | | | | | | | | | | | | | | | | | $i(all_57_27) & $i(all_57_28) &
% 198.49/31.69 | | | | | | | | | | | | | | | | | | $i(all_57_29) & $i(all_57_30)) | (all_57_31
% 198.49/31.69 | | | | | | | | | | | | | | | | | | = e3 & ~ (all_57_0 = e3) & ~ (all_57_2 =
% 198.49/31.69 | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_4 = e1) & ~ (all_57_6 =
% 198.49/31.69 | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_25 = e0) & op(e3,
% 198.49/31.69 | | | | | | | | | | | | | | | | | | all_57_1) = all_57_0 & op(e3, all_57_3) =
% 198.49/31.69 | | | | | | | | | | | | | | | | | | all_57_2 & op(e3, all_57_5) = all_57_4 &
% 198.49/31.69 | | | | | | | | | | | | | | | | | | op(e3, all_57_7) = all_57_6 & op(e3, e3) =
% 198.49/31.69 | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e2) = all_57_3 & op(e3,
% 198.49/31.69 | | | | | | | | | | | | | | | | | | e1) = all_57_5 & op(e3, e0) = all_57_7 &
% 198.49/31.69 | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_25 & $i(all_57_0) &
% 198.49/31.69 | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_2) & $i(all_57_3) &
% 198.49/31.69 | | | | | | | | | | | | | | | | | | $i(all_57_4) & $i(all_57_5) & $i(all_57_6) &
% 198.49/31.69 | | | | | | | | | | | | | | | | | | $i(all_57_7) & $i(all_57_25)) | (all_57_31 =
% 198.49/31.69 | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_8 = e3) & ~ (all_57_10 =
% 198.49/31.69 | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_12 = e1) & ~ (all_57_14
% 198.49/31.69 | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_27 = e0) & op(e2,
% 198.49/31.69 | | | | | | | | | | | | | | | | | | all_57_9) = all_57_8 & op(e2, all_57_11) =
% 198.49/31.69 | | | | | | | | | | | | | | | | | | all_57_10 & op(e2, all_57_13) = all_57_12 &
% 198.49/31.69 | | | | | | | | | | | | | | | | | | op(e2, all_57_15) = all_57_14 & op(e2, e3) =
% 198.49/31.69 | | | | | | | | | | | | | | | | | | all_57_9 & op(e2, e2) = all_57_11 & op(e2,
% 198.49/31.69 | | | | | | | | | | | | | | | | | | e1) = all_57_13 & op(e2, e0) = all_57_15 &
% 198.49/31.69 | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_27 & $i(all_57_8) &
% 198.49/31.69 | | | | | | | | | | | | | | | | | | $i(all_57_9) & $i(all_57_10) & $i(all_57_11)
% 198.49/31.69 | | | | | | | | | | | | | | | | | | & $i(all_57_12) & $i(all_57_13) &
% 198.49/31.69 | | | | | | | | | | | | | | | | | | $i(all_57_14) & $i(all_57_15) &
% 198.49/31.69 | | | | | | | | | | | | | | | | | | $i(all_57_27)) | (all_57_31 = e1 & ~
% 198.49/31.69 | | | | | | | | | | | | | | | | | | (all_57_16 = e3) & ~ (all_57_18 = e2) & ~
% 198.49/31.69 | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_22 = e0) & ~
% 198.49/31.69 | | | | | | | | | | | | | | | | | | (all_57_29 = e0) & op(e1, all_57_17) =
% 198.49/31.69 | | | | | | | | | | | | | | | | | | all_57_16 & op(e1, all_57_19) = all_57_18 &
% 198.49/31.69 | | | | | | | | | | | | | | | | | | op(e1, all_57_21) = all_57_20 & op(e1,
% 198.49/31.69 | | | | | | | | | | | | | | | | | | all_57_23) = all_57_22 & op(e1, e3) =
% 198.49/31.69 | | | | | | | | | | | | | | | | | | all_57_17 & op(e1, e2) = all_57_19 & op(e1,
% 198.49/31.69 | | | | | | | | | | | | | | | | | | e1) = all_57_21 & op(e1, e0) = all_57_23 &
% 198.49/31.69 | | | | | | | | | | | | | | | | | | op(e0, e1) = all_57_29 & $i(all_57_16) &
% 198.49/31.69 | | | | | | | | | | | | | | | | | | $i(all_57_17) & $i(all_57_18) &
% 198.49/31.69 | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_20) &
% 198.49/31.69 | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_22) &
% 198.49/31.69 | | | | | | | | | | | | | | | | | | $i(all_57_23) & $i(all_57_29))))
% 198.49/31.69 | | | | | | | | | | | | | | | | | |
% 198.49/31.69 | | | | | | | | | | | | | | | | | | BETA: splitting (8752) gives:
% 198.49/31.69 | | | | | | | | | | | | | | | | | |
% 198.49/31.69 | | | | | | | | | | | | | | | | | | Case 1:
% 198.49/31.69 | | | | | | | | | | | | | | | | | | |
% 198.49/31.69 | | | | | | | | | | | | | | | | | | | (8753) (all_57_11 = e1 & ~ (all_57_13 = e2) & ~
% 198.49/31.69 | | | | | | | | | | | | | | | | | | | (all_57_16 = e3) & ~ (all_57_18 = e2) & ~
% 198.49/31.69 | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_22 = e0) & op(e2,
% 198.49/31.69 | | | | | | | | | | | | | | | | | | | e2) = e1 & op(e2, e1) = all_57_13 & op(e1,
% 198.49/31.69 | | | | | | | | | | | | | | | | | | | all_57_17) = all_57_16 & op(e1, all_57_19) =
% 198.49/31.69 | | | | | | | | | | | | | | | | | | | all_57_18 & op(e1, all_57_21) = all_57_20 &
% 198.49/31.69 | | | | | | | | | | | | | | | | | | | op(e1, all_57_23) = all_57_22 & op(e1, e3) =
% 198.49/31.69 | | | | | | | | | | | | | | | | | | | all_57_17 & op(e1, e2) = all_57_19 & op(e1, e1)
% 198.49/31.69 | | | | | | | | | | | | | | | | | | | = all_57_21 & op(e1, e0) = all_57_23 &
% 198.49/31.69 | | | | | | | | | | | | | | | | | | | $i(all_57_13) & $i(all_57_16) & $i(all_57_17) &
% 198.49/31.69 | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_19) & $i(all_57_20) &
% 198.49/31.69 | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_22) & $i(all_57_23)) |
% 198.49/31.69 | | | | | | | | | | | | | | | | | | | (all_57_11 = e0 & ~ (all_57_15 = e2) & ~
% 198.49/31.69 | | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 198.49/31.69 | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) & op(e2,
% 198.49/31.69 | | | | | | | | | | | | | | | | | | | e2) = e0 & op(e2, e0) = all_57_15 & op(e0,
% 198.49/31.69 | | | | | | | | | | | | | | | | | | | all_57_25) = all_57_24 & op(e0, all_57_27) =
% 198.49/31.69 | | | | | | | | | | | | | | | | | | | all_57_26 & op(e0, all_57_29) = all_57_28 &
% 198.49/31.69 | | | | | | | | | | | | | | | | | | | op(e0, all_57_31) = all_57_30 & op(e0, e3) =
% 198.49/31.69 | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_27 & op(e0, e1)
% 198.49/31.69 | | | | | | | | | | | | | | | | | | | = all_57_29 & op(e0, e0) = all_57_31 &
% 198.49/31.69 | | | | | | | | | | | | | | | | | | | $i(all_57_15) & $i(all_57_24) & $i(all_57_25) &
% 198.49/31.69 | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_27) & $i(all_57_28) &
% 198.49/31.69 | | | | | | | | | | | | | | | | | | | $i(all_57_29) & $i(all_57_30) & $i(all_57_31))
% 198.49/31.69 | | | | | | | | | | | | | | | | | | |
% 198.49/31.69 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8), (8340), (8753), (function-axioms) are
% 198.49/31.69 | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1200.
% 198.49/31.69 | | | | | | | | | | | | | | | | | | |
% 198.49/31.69 | | | | | | | | | | | | | | | | | | Case 2:
% 198.49/31.69 | | | | | | | | | | | | | | | | | | |
% 198.49/31.69 | | | | | | | | | | | | | | | | | | | (8754) (all_57_21 = e3 & ~ (all_57_0 = e3) & ~
% 198.49/31.69 | | | | | | | | | | | | | | | | | | | (all_57_2 = e2) & ~ (all_57_4 = e1) & ~
% 198.49/31.69 | | | | | | | | | | | | | | | | | | | (all_57_6 = e0) & ~ (all_57_17 = e1) & op(e3,
% 198.49/31.69 | | | | | | | | | | | | | | | | | | | all_57_1) = all_57_0 & op(e3, all_57_3) =
% 198.49/31.69 | | | | | | | | | | | | | | | | | | | all_57_2 & op(e3, all_57_5) = all_57_4 & op(e3,
% 198.49/31.69 | | | | | | | | | | | | | | | | | | | all_57_7) = all_57_6 & op(e3, e3) = all_57_1 &
% 198.49/31.69 | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_3 & op(e3, e1) = all_57_5 &
% 198.49/31.69 | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_7 & op(e1, e3) = all_57_17 &
% 198.49/31.69 | | | | | | | | | | | | | | | | | | | op(e1, e1) = e3 & $i(all_57_0) & $i(all_57_1) &
% 198.49/31.69 | | | | | | | | | | | | | | | | | | | $i(all_57_2) & $i(all_57_3) & $i(all_57_4) &
% 198.49/31.69 | | | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 198.49/31.69 | | | | | | | | | | | | | | | | | | | $i(all_57_17)) | (all_57_21 = e2 & ~ (all_57_8
% 198.49/31.69 | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_10 = e2) & ~ (all_57_12 =
% 198.49/31.69 | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_14 = e0) & ~ (all_57_19 =
% 198.49/31.69 | | | | | | | | | | | | | | | | | | | e1) & op(e2, all_57_9) = all_57_8 & op(e2,
% 198.49/31.69 | | | | | | | | | | | | | | | | | | | all_57_11) = all_57_10 & op(e2, all_57_13) =
% 198.49/31.69 | | | | | | | | | | | | | | | | | | | all_57_12 & op(e2, all_57_15) = all_57_14 &
% 198.49/31.69 | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_9 & op(e2, e2) = all_57_11 &
% 198.49/31.69 | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_57_13 & op(e2, e0) = all_57_15
% 198.49/31.69 | | | | | | | | | | | | | | | | | | | & op(e1, e2) = all_57_19 & op(e1, e1) = e2 &
% 198.49/31.69 | | | | | | | | | | | | | | | | | | | $i(all_57_8) & $i(all_57_9) & $i(all_57_10) &
% 198.49/31.69 | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_12) & $i(all_57_13) &
% 198.49/31.69 | | | | | | | | | | | | | | | | | | | $i(all_57_14) & $i(all_57_15) & $i(all_57_19)) |
% 198.49/31.69 | | | | | | | | | | | | | | | | | | | (op(e0, e0) = all_57_31 & $i(all_57_31) &
% 198.49/31.69 | | | | | | | | | | | | | | | | | | | ((all_57_21 = e0 & ~ (all_57_23 = e1) & ~
% 198.49/31.69 | | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 198.49/31.69 | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) &
% 198.49/31.69 | | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = all_57_23 &
% 198.49/31.69 | | | | | | | | | | | | | | | | | | | op(e0, all_57_25) = all_57_24 & op(e0,
% 198.49/31.69 | | | | | | | | | | | | | | | | | | | all_57_27) = all_57_26 & op(e0, all_57_29)
% 198.49/31.69 | | | | | | | | | | | | | | | | | | | = all_57_28 & op(e0, all_57_31) = all_57_30
% 198.49/31.69 | | | | | | | | | | | | | | | | | | | & op(e0, e3) = all_57_25 & op(e0, e2) =
% 198.49/31.69 | | | | | | | | | | | | | | | | | | | all_57_27 & op(e0, e1) = all_57_29 &
% 198.49/31.69 | | | | | | | | | | | | | | | | | | | $i(all_57_23) & $i(all_57_24) &
% 198.49/31.69 | | | | | | | | | | | | | | | | | | | $i(all_57_25) & $i(all_57_26) &
% 198.49/31.69 | | | | | | | | | | | | | | | | | | | $i(all_57_27) & $i(all_57_28) &
% 198.49/31.69 | | | | | | | | | | | | | | | | | | | $i(all_57_29) & $i(all_57_30)) | (all_57_31
% 198.49/31.69 | | | | | | | | | | | | | | | | | | | = e3 & ~ (all_57_0 = e3) & ~ (all_57_2 =
% 198.49/31.69 | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_4 = e1) & ~ (all_57_6 =
% 198.49/31.69 | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_25 = e0) & op(e3,
% 198.49/31.69 | | | | | | | | | | | | | | | | | | | all_57_1) = all_57_0 & op(e3, all_57_3) =
% 198.49/31.69 | | | | | | | | | | | | | | | | | | | all_57_2 & op(e3, all_57_5) = all_57_4 &
% 198.49/31.69 | | | | | | | | | | | | | | | | | | | op(e3, all_57_7) = all_57_6 & op(e3, e3) =
% 198.49/31.69 | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e2) = all_57_3 & op(e3,
% 198.49/31.69 | | | | | | | | | | | | | | | | | | | e1) = all_57_5 & op(e3, e0) = all_57_7 &
% 198.49/31.69 | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_25 & $i(all_57_0) &
% 198.49/31.69 | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_2) & $i(all_57_3) &
% 198.49/31.69 | | | | | | | | | | | | | | | | | | | $i(all_57_4) & $i(all_57_5) & $i(all_57_6) &
% 198.49/31.69 | | | | | | | | | | | | | | | | | | | $i(all_57_7) & $i(all_57_25)) | (all_57_31 =
% 198.49/31.69 | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_8 = e3) & ~ (all_57_10 =
% 198.49/31.69 | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_12 = e1) & ~ (all_57_14
% 198.49/31.69 | | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_27 = e0) & op(e2,
% 198.49/31.69 | | | | | | | | | | | | | | | | | | | all_57_9) = all_57_8 & op(e2, all_57_11) =
% 198.49/31.69 | | | | | | | | | | | | | | | | | | | all_57_10 & op(e2, all_57_13) = all_57_12 &
% 198.49/31.69 | | | | | | | | | | | | | | | | | | | op(e2, all_57_15) = all_57_14 & op(e2, e3) =
% 198.49/31.69 | | | | | | | | | | | | | | | | | | | all_57_9 & op(e2, e2) = all_57_11 & op(e2,
% 198.49/31.69 | | | | | | | | | | | | | | | | | | | e1) = all_57_13 & op(e2, e0) = all_57_15 &
% 198.49/31.69 | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_27 & $i(all_57_8) &
% 198.49/31.69 | | | | | | | | | | | | | | | | | | | $i(all_57_9) & $i(all_57_10) & $i(all_57_11)
% 198.49/31.69 | | | | | | | | | | | | | | | | | | | & $i(all_57_12) & $i(all_57_13) &
% 198.49/31.69 | | | | | | | | | | | | | | | | | | | $i(all_57_14) & $i(all_57_15) &
% 198.49/31.69 | | | | | | | | | | | | | | | | | | | $i(all_57_27)) | (all_57_31 = e1 & ~
% 198.49/31.69 | | | | | | | | | | | | | | | | | | | (all_57_16 = e3) & ~ (all_57_18 = e2) & ~
% 198.49/31.69 | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_22 = e0) & ~
% 198.49/31.69 | | | | | | | | | | | | | | | | | | | (all_57_29 = e0) & op(e1, all_57_17) =
% 198.49/31.69 | | | | | | | | | | | | | | | | | | | all_57_16 & op(e1, all_57_19) = all_57_18 &
% 198.49/31.69 | | | | | | | | | | | | | | | | | | | op(e1, all_57_21) = all_57_20 & op(e1,
% 198.49/31.69 | | | | | | | | | | | | | | | | | | | all_57_23) = all_57_22 & op(e1, e3) =
% 198.49/31.69 | | | | | | | | | | | | | | | | | | | all_57_17 & op(e1, e2) = all_57_19 & op(e1,
% 198.49/31.69 | | | | | | | | | | | | | | | | | | | e1) = all_57_21 & op(e1, e0) = all_57_23 &
% 198.49/31.69 | | | | | | | | | | | | | | | | | | | op(e0, e1) = all_57_29 & $i(all_57_16) &
% 198.49/31.69 | | | | | | | | | | | | | | | | | | | $i(all_57_17) & $i(all_57_18) &
% 198.49/31.69 | | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_20) &
% 198.49/31.69 | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_22) &
% 198.49/31.69 | | | | | | | | | | | | | | | | | | | $i(all_57_23) & $i(all_57_29))))
% 198.49/31.69 | | | | | | | | | | | | | | | | | | |
% 198.49/31.69 | | | | | | | | | | | | | | | | | | | BETA: splitting (8754) gives:
% 198.49/31.69 | | | | | | | | | | | | | | | | | | |
% 198.49/31.69 | | | | | | | | | | | | | | | | | | | Case 1:
% 198.49/31.69 | | | | | | | | | | | | | | | | | | | |
% 198.49/31.69 | | | | | | | | | | | | | | | | | | | | (8755) all_57_21 = e3 & ~ (all_57_0 = e3) & ~ (all_57_2
% 198.49/31.69 | | | | | | | | | | | | | | | | | | | | = e2) & ~ (all_57_4 = e1) & ~ (all_57_6 = e0)
% 198.49/31.69 | | | | | | | | | | | | | | | | | | | | & ~ (all_57_17 = e1) & op(e3, all_57_1) =
% 198.49/31.69 | | | | | | | | | | | | | | | | | | | | all_57_0 & op(e3, all_57_3) = all_57_2 & op(e3,
% 198.49/31.69 | | | | | | | | | | | | | | | | | | | | all_57_5) = all_57_4 & op(e3, all_57_7) =
% 198.49/31.69 | | | | | | | | | | | | | | | | | | | | all_57_6 & op(e3, e3) = all_57_1 & op(e3, e2) =
% 198.49/31.69 | | | | | | | | | | | | | | | | | | | | all_57_3 & op(e3, e1) = all_57_5 & op(e3, e0) =
% 198.49/31.69 | | | | | | | | | | | | | | | | | | | | all_57_7 & op(e1, e3) = all_57_17 & op(e1, e1) =
% 198.49/31.69 | | | | | | | | | | | | | | | | | | | | e3 & $i(all_57_0) & $i(all_57_1) & $i(all_57_2) &
% 198.49/31.69 | | | | | | | | | | | | | | | | | | | | $i(all_57_3) & $i(all_57_4) & $i(all_57_5) &
% 198.49/31.69 | | | | | | | | | | | | | | | | | | | | $i(all_57_6) & $i(all_57_7) & $i(all_57_17)
% 198.49/31.69 | | | | | | | | | | | | | | | | | | | |
% 198.49/31.69 | | | | | | | | | | | | | | | | | | | | ALPHA: (8755) implies:
% 198.49/31.69 | | | | | | | | | | | | | | | | | | | | (8756) ~ (all_57_0 = e3)
% 198.49/31.69 | | | | | | | | | | | | | | | | | | | | (8757) op(e3, e3) = all_57_1
% 198.49/31.69 | | | | | | | | | | | | | | | | | | | | (8758) op(e3, all_57_1) = all_57_0
% 198.49/31.69 | | | | | | | | | | | | | | | | | | | |
% 198.49/31.69 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e3, all_57_1,
% 198.49/31.69 | | | | | | | | | | | | | | | | | | | | e3, e3, simplifying with (8740), (8757) gives:
% 198.49/31.69 | | | | | | | | | | | | | | | | | | | | (8759) all_57_1 = e3
% 198.49/31.69 | | | | | | | | | | | | | | | | | | | |
% 198.49/31.69 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8756), (8757), (8758), (8759), (function-axioms)
% 198.49/31.69 | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1920.
% 198.49/31.69 | | | | | | | | | | | | | | | | | | | |
% 198.49/31.69 | | | | | | | | | | | | | | | | | | | Case 2:
% 198.49/31.69 | | | | | | | | | | | | | | | | | | | |
% 198.49/31.69 | | | | | | | | | | | | | | | | | | | | (8760) (all_57_21 = e2 & ~ (all_57_8 = e3) & ~
% 198.49/31.69 | | | | | | | | | | | | | | | | | | | | (all_57_10 = e2) & ~ (all_57_12 = e1) & ~
% 198.49/31.69 | | | | | | | | | | | | | | | | | | | | (all_57_14 = e0) & ~ (all_57_19 = e1) & op(e2,
% 198.49/31.69 | | | | | | | | | | | | | | | | | | | | all_57_9) = all_57_8 & op(e2, all_57_11) =
% 198.49/31.69 | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e2, all_57_13) = all_57_12 &
% 198.49/31.69 | | | | | | | | | | | | | | | | | | | | op(e2, all_57_15) = all_57_14 & op(e2, e3) =
% 198.49/31.69 | | | | | | | | | | | | | | | | | | | | all_57_9 & op(e2, e2) = all_57_11 & op(e2, e1) =
% 198.49/31.69 | | | | | | | | | | | | | | | | | | | | all_57_13 & op(e2, e0) = all_57_15 & op(e1, e2)
% 198.49/31.69 | | | | | | | | | | | | | | | | | | | | = all_57_19 & op(e1, e1) = e2 & $i(all_57_8) &
% 198.49/31.69 | | | | | | | | | | | | | | | | | | | | $i(all_57_9) & $i(all_57_10) & $i(all_57_11) &
% 198.49/31.69 | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & $i(all_57_13) & $i(all_57_14) &
% 198.49/31.69 | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & $i(all_57_19)) | (op(e0, e0) =
% 198.49/31.69 | | | | | | | | | | | | | | | | | | | | all_57_31 & $i(all_57_31) & ((all_57_21 = e0 &
% 198.49/31.69 | | | | | | | | | | | | | | | | | | | | ~ (all_57_23 = e1) & ~ (all_57_24 = e3) &
% 198.49/31.69 | | | | | | | | | | | | | | | | | | | | ~ (all_57_26 = e2) & ~ (all_57_28 = e1) &
% 198.49/31.69 | | | | | | | | | | | | | | | | | | | | ~ (all_57_30 = e0) & op(e1, e1) = e0 &
% 198.49/31.69 | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_23 & op(e0, all_57_25) =
% 198.49/31.69 | | | | | | | | | | | | | | | | | | | | all_57_24 & op(e0, all_57_27) = all_57_26 &
% 198.49/31.69 | | | | | | | | | | | | | | | | | | | | op(e0, all_57_29) = all_57_28 & op(e0,
% 198.49/31.69 | | | | | | | | | | | | | | | | | | | | all_57_31) = all_57_30 & op(e0, e3) =
% 198.49/31.69 | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_27 & op(e0,
% 198.49/31.69 | | | | | | | | | | | | | | | | | | | | e1) = all_57_29 & $i(all_57_23) &
% 198.49/31.69 | | | | | | | | | | | | | | | | | | | | $i(all_57_24) & $i(all_57_25) &
% 198.49/31.69 | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_27) &
% 198.49/31.69 | | | | | | | | | | | | | | | | | | | | $i(all_57_28) & $i(all_57_29) &
% 198.49/31.69 | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_31 = e3 & ~
% 198.49/31.69 | | | | | | | | | | | | | | | | | | | | (all_57_0 = e3) & ~ (all_57_2 = e2) & ~
% 198.49/31.69 | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1) & ~ (all_57_6 = e0) & ~
% 198.49/31.69 | | | | | | | | | | | | | | | | | | | | (all_57_25 = e0) & op(e3, all_57_1) =
% 198.49/31.69 | | | | | | | | | | | | | | | | | | | | all_57_0 & op(e3, all_57_3) = all_57_2 &
% 198.49/31.69 | | | | | | | | | | | | | | | | | | | | op(e3, all_57_5) = all_57_4 & op(e3,
% 198.49/31.69 | | | | | | | | | | | | | | | | | | | | all_57_7) = all_57_6 & op(e3, e3) =
% 198.49/31.69 | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e2) = all_57_3 & op(e3,
% 198.49/31.69 | | | | | | | | | | | | | | | | | | | | e1) = all_57_5 & op(e3, e0) = all_57_7 &
% 198.49/31.69 | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_25 & $i(all_57_0) &
% 198.49/31.69 | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_2) & $i(all_57_3) &
% 198.49/31.69 | | | | | | | | | | | | | | | | | | | | $i(all_57_4) & $i(all_57_5) & $i(all_57_6) &
% 198.49/31.69 | | | | | | | | | | | | | | | | | | | | $i(all_57_7) & $i(all_57_25)) | (all_57_31 =
% 198.49/31.69 | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_8 = e3) & ~ (all_57_10 =
% 198.49/31.69 | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_12 = e1) & ~ (all_57_14
% 198.49/31.69 | | | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_27 = e0) & op(e2,
% 198.49/31.69 | | | | | | | | | | | | | | | | | | | | all_57_9) = all_57_8 & op(e2, all_57_11) =
% 198.49/31.69 | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e2, all_57_13) = all_57_12 &
% 198.49/31.69 | | | | | | | | | | | | | | | | | | | | op(e2, all_57_15) = all_57_14 & op(e2, e3) =
% 198.49/31.69 | | | | | | | | | | | | | | | | | | | | all_57_9 & op(e2, e2) = all_57_11 & op(e2,
% 198.49/31.69 | | | | | | | | | | | | | | | | | | | | e1) = all_57_13 & op(e2, e0) = all_57_15 &
% 198.49/31.69 | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_27 & $i(all_57_8) &
% 198.49/31.69 | | | | | | | | | | | | | | | | | | | | $i(all_57_9) & $i(all_57_10) & $i(all_57_11)
% 198.49/31.69 | | | | | | | | | | | | | | | | | | | | & $i(all_57_12) & $i(all_57_13) &
% 198.49/31.69 | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & $i(all_57_15) &
% 198.49/31.69 | | | | | | | | | | | | | | | | | | | | $i(all_57_27)) | (all_57_31 = e1 & ~
% 198.49/31.69 | | | | | | | | | | | | | | | | | | | | (all_57_16 = e3) & ~ (all_57_18 = e2) & ~
% 198.49/31.69 | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_22 = e0) & ~
% 198.49/31.69 | | | | | | | | | | | | | | | | | | | | (all_57_29 = e0) & op(e1, all_57_17) =
% 198.49/31.69 | | | | | | | | | | | | | | | | | | | | all_57_16 & op(e1, all_57_19) = all_57_18 &
% 198.49/31.69 | | | | | | | | | | | | | | | | | | | | op(e1, all_57_21) = all_57_20 & op(e1,
% 198.49/31.69 | | | | | | | | | | | | | | | | | | | | all_57_23) = all_57_22 & op(e1, e3) =
% 198.49/31.69 | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e1, e2) = all_57_19 & op(e1,
% 198.49/31.69 | | | | | | | | | | | | | | | | | | | | e1) = all_57_21 & op(e1, e0) = all_57_23 &
% 198.49/31.69 | | | | | | | | | | | | | | | | | | | | op(e0, e1) = all_57_29 & $i(all_57_16) &
% 198.49/31.69 | | | | | | | | | | | | | | | | | | | | $i(all_57_17) & $i(all_57_18) &
% 198.49/31.69 | | | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_20) &
% 198.49/31.69 | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_22) &
% 198.49/31.69 | | | | | | | | | | | | | | | | | | | | $i(all_57_23) & $i(all_57_29))))
% 198.49/31.69 | | | | | | | | | | | | | | | | | | | |
% 198.49/31.69 | | | | | | | | | | | | | | | | | | | | BETA: splitting (8760) gives:
% 198.49/31.69 | | | | | | | | | | | | | | | | | | | |
% 198.49/31.69 | | | | | | | | | | | | | | | | | | | | Case 1:
% 198.49/31.69 | | | | | | | | | | | | | | | | | | | | |
% 198.49/31.69 | | | | | | | | | | | | | | | | | | | | | (8761) all_57_21 = e2 & ~ (all_57_8 = e3) & ~
% 198.49/31.69 | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e2) & ~ (all_57_12 = e1) & ~
% 198.49/31.69 | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e0) & ~ (all_57_19 = e1) & op(e2,
% 198.49/31.69 | | | | | | | | | | | | | | | | | | | | | all_57_9) = all_57_8 & op(e2, all_57_11) =
% 198.49/31.69 | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e2, all_57_13) = all_57_12 & op(e2,
% 198.49/31.69 | | | | | | | | | | | | | | | | | | | | | all_57_15) = all_57_14 & op(e2, e3) = all_57_9 &
% 198.49/31.69 | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_11 & op(e2, e1) = all_57_13 &
% 198.49/31.69 | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_15 & op(e1, e2) = all_57_19 &
% 198.49/31.69 | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e2 & $i(all_57_8) & $i(all_57_9) &
% 198.49/31.69 | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & $i(all_57_11) & $i(all_57_12) &
% 198.49/31.69 | | | | | | | | | | | | | | | | | | | | | $i(all_57_13) & $i(all_57_14) & $i(all_57_15) &
% 198.49/31.69 | | | | | | | | | | | | | | | | | | | | | $i(all_57_19)
% 198.49/31.69 | | | | | | | | | | | | | | | | | | | | |
% 198.49/31.69 | | | | | | | | | | | | | | | | | | | | | ALPHA: (8761) implies:
% 198.49/31.69 | | | | | | | | | | | | | | | | | | | | | (8762) op(e1, e1) = e2
% 198.49/31.69 | | | | | | | | | | | | | | | | | | | | |
% 198.49/31.69 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (8737), (8762), (function-axioms) are
% 198.49/31.69 | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1919.
% 198.49/31.69 | | | | | | | | | | | | | | | | | | | | |
% 198.49/31.69 | | | | | | | | | | | | | | | | | | | | Case 2:
% 198.49/31.69 | | | | | | | | | | | | | | | | | | | | |
% 198.49/31.69 | | | | | | | | | | | | | | | | | | | | | (8763) op(e0, e0) = all_57_31 & $i(all_57_31) &
% 198.49/31.69 | | | | | | | | | | | | | | | | | | | | | ((all_57_21 = e0 & ~ (all_57_23 = e1) & ~
% 198.49/31.69 | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 198.49/31.69 | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) &
% 198.49/31.69 | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = all_57_23 &
% 198.49/31.69 | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_25) = all_57_24 & op(e0,
% 198.49/31.69 | | | | | | | | | | | | | | | | | | | | | all_57_27) = all_57_26 & op(e0, all_57_29) =
% 198.49/31.69 | | | | | | | | | | | | | | | | | | | | | all_57_28 & op(e0, all_57_31) = all_57_30 &
% 198.49/31.69 | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_25 & op(e0, e2) =
% 198.49/31.69 | | | | | | | | | | | | | | | | | | | | | all_57_27 & op(e0, e1) = all_57_29 &
% 198.49/31.69 | | | | | | | | | | | | | | | | | | | | | $i(all_57_23) & $i(all_57_24) & $i(all_57_25)
% 198.49/31.69 | | | | | | | | | | | | | | | | | | | | | & $i(all_57_26) & $i(all_57_27) &
% 198.49/31.69 | | | | | | | | | | | | | | | | | | | | | $i(all_57_28) & $i(all_57_29) & $i(all_57_30))
% 198.49/31.69 | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e3 & ~ (all_57_0 = e3) & ~
% 198.49/31.69 | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e2) & ~ (all_57_4 = e1) & ~
% 198.49/31.69 | | | | | | | | | | | | | | | | | | | | | (all_57_6 = e0) & ~ (all_57_25 = e0) & op(e3,
% 198.49/31.69 | | | | | | | | | | | | | | | | | | | | | all_57_1) = all_57_0 & op(e3, all_57_3) =
% 198.49/31.69 | | | | | | | | | | | | | | | | | | | | | all_57_2 & op(e3, all_57_5) = all_57_4 &
% 198.49/31.69 | | | | | | | | | | | | | | | | | | | | | op(e3, all_57_7) = all_57_6 & op(e3, e3) =
% 198.49/31.69 | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e2) = all_57_3 & op(e3, e1)
% 198.49/31.69 | | | | | | | | | | | | | | | | | | | | | = all_57_5 & op(e3, e0) = all_57_7 & op(e0,
% 198.49/31.69 | | | | | | | | | | | | | | | | | | | | | e3) = all_57_25 & $i(all_57_0) &
% 198.49/31.69 | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_2) & $i(all_57_3) &
% 198.49/31.69 | | | | | | | | | | | | | | | | | | | | | $i(all_57_4) & $i(all_57_5) & $i(all_57_6) &
% 198.49/31.69 | | | | | | | | | | | | | | | | | | | | | $i(all_57_7) & $i(all_57_25)) | (all_57_31 =
% 198.49/31.69 | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_8 = e3) & ~ (all_57_10 = e2)
% 198.49/31.69 | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_12 = e1) & ~ (all_57_14 = e0) &
% 198.49/31.69 | | | | | | | | | | | | | | | | | | | | | ~ (all_57_27 = e0) & op(e2, all_57_9) =
% 198.49/31.69 | | | | | | | | | | | | | | | | | | | | | all_57_8 & op(e2, all_57_11) = all_57_10 &
% 198.49/31.69 | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_13) = all_57_12 & op(e2,
% 198.49/31.69 | | | | | | | | | | | | | | | | | | | | | all_57_15) = all_57_14 & op(e2, e3) =
% 198.49/31.69 | | | | | | | | | | | | | | | | | | | | | all_57_9 & op(e2, e2) = all_57_11 & op(e2, e1)
% 198.49/31.69 | | | | | | | | | | | | | | | | | | | | | = all_57_13 & op(e2, e0) = all_57_15 & op(e0,
% 198.49/31.69 | | | | | | | | | | | | | | | | | | | | | e2) = all_57_27 & $i(all_57_8) &
% 198.49/31.69 | | | | | | | | | | | | | | | | | | | | | $i(all_57_9) & $i(all_57_10) & $i(all_57_11) &
% 198.49/31.69 | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & $i(all_57_13) & $i(all_57_14)
% 198.49/31.69 | | | | | | | | | | | | | | | | | | | | | & $i(all_57_15) & $i(all_57_27)) | (all_57_31
% 198.49/31.69 | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_16 = e3) & ~ (all_57_18 =
% 198.49/31.69 | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_20 = e1) & ~ (all_57_22 =
% 198.49/31.69 | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_29 = e0) & op(e1,
% 198.49/31.69 | | | | | | | | | | | | | | | | | | | | | all_57_17) = all_57_16 & op(e1, all_57_19) =
% 198.49/31.69 | | | | | | | | | | | | | | | | | | | | | all_57_18 & op(e1, all_57_21) = all_57_20 &
% 198.49/31.69 | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_23) = all_57_22 & op(e1, e3) =
% 198.49/31.69 | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e1, e2) = all_57_19 & op(e1,
% 198.49/31.69 | | | | | | | | | | | | | | | | | | | | | e1) = all_57_21 & op(e1, e0) = all_57_23 &
% 198.49/31.69 | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = all_57_29 & $i(all_57_16) &
% 198.49/31.69 | | | | | | | | | | | | | | | | | | | | | $i(all_57_17) & $i(all_57_18) & $i(all_57_19)
% 198.49/31.69 | | | | | | | | | | | | | | | | | | | | | & $i(all_57_20) & $i(all_57_21) &
% 198.49/31.69 | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_23) &
% 198.49/31.69 | | | | | | | | | | | | | | | | | | | | | $i(all_57_29)))
% 198.49/31.69 | | | | | | | | | | | | | | | | | | | | |
% 198.49/31.69 | | | | | | | | | | | | | | | | | | | | | ALPHA: (8763) implies:
% 198.49/31.69 | | | | | | | | | | | | | | | | | | | | | (8764) op(e0, e0) = all_57_31
% 198.49/31.69 | | | | | | | | | | | | | | | | | | | | | (8765) (all_57_21 = e0 & ~ (all_57_23 = e1) & ~
% 198.49/31.69 | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 198.49/31.69 | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) & op(e1,
% 198.49/31.69 | | | | | | | | | | | | | | | | | | | | | e1) = e0 & op(e1, e0) = all_57_23 & op(e0,
% 198.49/31.69 | | | | | | | | | | | | | | | | | | | | | all_57_25) = all_57_24 & op(e0, all_57_27) =
% 198.49/31.69 | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e0, all_57_29) = all_57_28 &
% 198.49/31.69 | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_31) = all_57_30 & op(e0, e3) =
% 198.49/31.69 | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_27 & op(e0, e1)
% 198.49/31.69 | | | | | | | | | | | | | | | | | | | | | = all_57_29 & $i(all_57_23) & $i(all_57_24) &
% 198.49/31.69 | | | | | | | | | | | | | | | | | | | | | $i(all_57_25) & $i(all_57_26) & $i(all_57_27) &
% 198.49/31.69 | | | | | | | | | | | | | | | | | | | | | $i(all_57_28) & $i(all_57_29) & $i(all_57_30)) |
% 198.49/31.69 | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e3 & ~ (all_57_0 = e3) & ~
% 198.49/31.69 | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e2) & ~ (all_57_4 = e1) & ~
% 198.49/31.69 | | | | | | | | | | | | | | | | | | | | | (all_57_6 = e0) & ~ (all_57_25 = e0) & op(e3,
% 198.49/31.69 | | | | | | | | | | | | | | | | | | | | | all_57_1) = all_57_0 & op(e3, all_57_3) =
% 198.49/31.69 | | | | | | | | | | | | | | | | | | | | | all_57_2 & op(e3, all_57_5) = all_57_4 & op(e3,
% 198.49/31.69 | | | | | | | | | | | | | | | | | | | | | all_57_7) = all_57_6 & op(e3, e3) = all_57_1 &
% 198.49/31.69 | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_3 & op(e3, e1) = all_57_5 &
% 198.49/31.69 | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_7 & op(e0, e3) = all_57_25 &
% 198.49/31.69 | | | | | | | | | | | | | | | | | | | | | $i(all_57_0) & $i(all_57_1) & $i(all_57_2) &
% 198.49/31.69 | | | | | | | | | | | | | | | | | | | | | $i(all_57_3) & $i(all_57_4) & $i(all_57_5) &
% 198.49/31.69 | | | | | | | | | | | | | | | | | | | | | $i(all_57_6) & $i(all_57_7) & $i(all_57_25)) |
% 198.49/31.69 | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e2 & ~ (all_57_8 = e3) & ~
% 198.49/31.69 | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e2) & ~ (all_57_12 = e1) & ~
% 198.49/31.69 | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e0) & ~ (all_57_27 = e0) & op(e2,
% 198.49/31.69 | | | | | | | | | | | | | | | | | | | | | all_57_9) = all_57_8 & op(e2, all_57_11) =
% 198.49/31.69 | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e2, all_57_13) = all_57_12 &
% 198.49/31.69 | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_15) = all_57_14 & op(e2, e3) =
% 198.49/31.69 | | | | | | | | | | | | | | | | | | | | | all_57_9 & op(e2, e2) = all_57_11 & op(e2, e1) =
% 198.49/31.69 | | | | | | | | | | | | | | | | | | | | | all_57_13 & op(e2, e0) = all_57_15 & op(e0, e2)
% 198.49/31.69 | | | | | | | | | | | | | | | | | | | | | = all_57_27 & $i(all_57_8) & $i(all_57_9) &
% 198.49/31.69 | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & $i(all_57_11) & $i(all_57_12) &
% 198.49/31.69 | | | | | | | | | | | | | | | | | | | | | $i(all_57_13) & $i(all_57_14) & $i(all_57_15) &
% 198.49/31.69 | | | | | | | | | | | | | | | | | | | | | $i(all_57_27)) | (all_57_31 = e1 & ~ (all_57_16
% 198.49/31.69 | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_18 = e2) & ~ (all_57_20 =
% 198.49/31.69 | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_22 = e0) & ~ (all_57_29 =
% 198.49/31.69 | | | | | | | | | | | | | | | | | | | | | e0) & op(e1, all_57_17) = all_57_16 & op(e1,
% 198.49/31.69 | | | | | | | | | | | | | | | | | | | | | all_57_19) = all_57_18 & op(e1, all_57_21) =
% 198.49/31.69 | | | | | | | | | | | | | | | | | | | | | all_57_20 & op(e1, all_57_23) = all_57_22 &
% 198.49/31.69 | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_17 & op(e1, e2) = all_57_19
% 198.49/31.69 | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = all_57_21 & op(e1, e0) =
% 198.49/31.69 | | | | | | | | | | | | | | | | | | | | | all_57_23 & op(e0, e1) = all_57_29 &
% 198.49/31.69 | | | | | | | | | | | | | | | | | | | | | $i(all_57_16) & $i(all_57_17) & $i(all_57_18) &
% 198.49/31.69 | | | | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_20) & $i(all_57_21) &
% 198.49/31.69 | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_23) & $i(all_57_29))
% 198.49/31.69 | | | | | | | | | | | | | | | | | | | | |
% 198.49/31.69 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8), (9), (7532), (8737), (8740), (8764),
% 198.49/31.69 | | | | | | | | | | | | | | | | | | | | | (8765), (function-axioms) are inconsistent by
% 198.49/31.69 | | | | | | | | | | | | | | | | | | | | | sub-proof #1915.
% 198.49/31.69 | | | | | | | | | | | | | | | | | | | | |
% 198.49/31.69 | | | | | | | | | | | | | | | | | | | | End of split
% 198.49/31.69 | | | | | | | | | | | | | | | | | | | |
% 198.49/31.69 | | | | | | | | | | | | | | | | | | | End of split
% 198.49/31.69 | | | | | | | | | | | | | | | | | | |
% 198.49/31.69 | | | | | | | | | | | | | | | | | | End of split
% 198.49/31.69 | | | | | | | | | | | | | | | | | |
% 198.49/31.69 | | | | | | | | | | | | | | | | | End of split
% 198.49/31.69 | | | | | | | | | | | | | | | | |
% 198.49/31.69 | | | | | | | | | | | | | | | | Case 2:
% 198.49/31.69 | | | | | | | | | | | | | | | | |
% 198.49/31.69 | | | | | | | | | | | | | | | | | (8766) all_56_1 = e3 & op(e3, e2) = e3
% 198.49/31.69 | | | | | | | | | | | | | | | | |
% 198.49/31.69 | | | | | | | | | | | | | | | | | ALPHA: (8766) implies:
% 198.49/31.69 | | | | | | | | | | | | | | | | | (8767) op(e3, e2) = e3
% 198.49/31.69 | | | | | | | | | | | | | | | | |
% 198.49/31.69 | | | | | | | | | | | | | | | | | REF_CLOSE: (170), (8337), (8767), (function-axioms) are
% 198.49/31.69 | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1931.
% 198.49/31.69 | | | | | | | | | | | | | | | | |
% 198.49/31.69 | | | | | | | | | | | | | | | | End of split
% 198.49/31.69 | | | | | | | | | | | | | | | |
% 198.49/31.69 | | | | | | | | | | | | | | | Case 2:
% 198.49/31.69 | | | | | | | | | | | | | | | |
% 198.49/31.69 | | | | | | | | | | | | | | | | (8768) (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_9 = e3
% 198.49/31.69 | | | | | | | | | | | | | | | | & op(e3, e0) = e3)
% 198.49/31.69 | | | | | | | | | | | | | | | |
% 198.49/31.69 | | | | | | | | | | | | | | | | REF_CLOSE: (168), (169), (7529), (8736), (8768),
% 198.49/31.69 | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 198.49/31.69 | | | | | | | | | | | | | | | | #1616.
% 198.49/31.69 | | | | | | | | | | | | | | | |
% 198.49/31.69 | | | | | | | | | | | | | | | End of split
% 198.49/31.69 | | | | | | | | | | | | | | |
% 198.49/31.69 | | | | | | | | | | | | | | End of split
% 198.49/31.69 | | | | | | | | | | | | | |
% 198.49/31.69 | | | | | | | | | | | | | Case 2:
% 198.49/31.69 | | | | | | | | | | | | | |
% 198.49/31.69 | | | | | | | | | | | | | | (8769) all_28_2 = e1
% 198.49/31.69 | | | | | | | | | | | | | | (8770) op(e1, e3) = all_28_1 & $i(all_28_1) & ( ~
% 198.49/31.69 | | | | | | | | | | | | | | (all_28_1 = e2) | ( ~ (all_28_0 = e0) & op(e2,
% 198.49/31.69 | | | | | | | | | | | | | | e1) = all_28_0 & $i(all_28_0)))
% 198.49/31.69 | | | | | | | | | | | | | |
% 198.49/31.69 | | | | | | | | | | | | | | ALPHA: (8770) implies:
% 198.49/31.69 | | | | | | | | | | | | | | (8771) op(e1, e3) = all_28_1
% 198.49/31.69 | | | | | | | | | | | | | |
% 198.49/31.69 | | | | | | | | | | | | | | COMBINE_EQS: (315), (8769) imply:
% 198.49/31.69 | | | | | | | | | | | | | | (8772) all_14_2 = e1
% 198.49/31.69 | | | | | | | | | | | | | |
% 198.49/31.69 | | | | | | | | | | | | | | SIMP: (8772) implies:
% 198.49/31.69 | | | | | | | | | | | | | | (8773) all_14_2 = e1
% 198.49/31.69 | | | | | | | | | | | | | |
% 198.49/31.69 | | | | | | | | | | | | | | COMBINE_EQS: (305), (8773) imply:
% 198.49/31.69 | | | | | | | | | | | | | | (8774) all_36_2 = e1
% 198.49/31.69 | | | | | | | | | | | | | |
% 198.49/31.69 | | | | | | | | | | | | | | REDUCE: (339), (8773) imply:
% 198.49/31.69 | | | | | | | | | | | | | | (8775) ~ (all_52_2 = e1)
% 198.49/31.69 | | | | | | | | | | | | | |
% 198.49/31.69 | | | | | | | | | | | | | | REDUCE: (345), (8773) imply:
% 198.49/31.69 | | | | | | | | | | | | | | (8776) ~ (all_52_8 = e1)
% 198.49/31.69 | | | | | | | | | | | | | |
% 198.49/31.69 | | | | | | | | | | | | | | REDUCE: (7561), (8773) imply:
% 198.49/31.69 | | | | | | | | | | | | | | (8777) ~ (e2 = e1)
% 198.49/31.69 | | | | | | | | | | | | | |
% 198.49/31.69 | | | | | | | | | | | | | | REDUCE: (51), (8773) imply:
% 198.49/31.69 | | | | | | | | | | | | | | (8778) op(e3, e3) = e1
% 198.49/31.69 | | | | | | | | | | | | | |
% 198.49/31.69 | | | | | | | | | | | | | | BETA: splitting (235) gives:
% 198.49/31.69 | | | | | | | | | | | | | |
% 198.49/31.69 | | | | | | | | | | | | | | Case 1:
% 198.49/31.69 | | | | | | | | | | | | | | |
% 198.49/31.69 | | | | | | | | | | | | | | | (8779) (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_2 = e3
% 198.49/31.69 | | | | | | | | | | | | | | | & op(e2, e3) = e3)
% 198.49/31.69 | | | | | | | | | | | | | | |
% 198.49/31.69 | | | | | | | | | | | | | | | REF_CLOSE: (8), (167), (8336), (8778), (8779),
% 198.49/31.69 | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 198.49/31.69 | | | | | | | | | | | | | | | #1248.
% 198.49/31.69 | | | | | | | | | | | | | | |
% 198.49/31.69 | | | | | | | | | | | | | | Case 2:
% 198.49/31.69 | | | | | | | | | | | | | | |
% 198.49/31.69 | | | | | | | | | | | | | | | (8780) (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_12 =
% 198.49/31.69 | | | | | | | | | | | | | | | e3 & op(e0, e3) = e3)
% 198.49/31.69 | | | | | | | | | | | | | | |
% 198.49/31.69 | | | | | | | | | | | | | | | BETA: splitting (8780) gives:
% 198.49/31.69 | | | | | | | | | | | | | | |
% 198.49/31.69 | | | | | | | | | | | | | | | Case 1:
% 198.49/31.69 | | | | | | | | | | | | | | | |
% 198.49/31.69 | | | | | | | | | | | | | | | | (8781) all_56_6 = e3 & op(e1, e3) = e3
% 198.49/31.69 | | | | | | | | | | | | | | | |
% 198.49/31.69 | | | | | | | | | | | | | | | | ALPHA: (8781) implies:
% 198.49/31.69 | | | | | | | | | | | | | | | | (8782) all_56_6 = e3
% 198.49/31.69 | | | | | | | | | | | | | | | | (8783) op(e1, e3) = e3
% 198.49/31.69 | | | | | | | | | | | | | | | |
% 198.49/31.69 | | | | | | | | | | | | | | | | BETA: splitting (236) gives:
% 198.49/31.69 | | | | | | | | | | | | | | | |
% 198.49/31.69 | | | | | | | | | | | | | | | | Case 1:
% 198.49/31.69 | | | | | | | | | | | | | | | | |
% 198.49/31.69 | | | | | | | | | | | | | | | | | (8784) (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_1 = e3
% 198.49/31.69 | | | | | | | | | | | | | | | | | & op(e3, e2) = e3)
% 198.49/31.69 | | | | | | | | | | | | | | | | |
% 198.49/31.69 | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (170), (8337), (8778), (8784),
% 198.49/31.69 | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 198.49/31.69 | | | | | | | | | | | | | | | | | #1115.
% 198.49/31.69 | | | | | | | | | | | | | | | | |
% 198.49/31.69 | | | | | | | | | | | | | | | | Case 2:
% 198.49/31.69 | | | | | | | | | | | | | | | | |
% 198.49/31.69 | | | | | | | | | | | | | | | | | (8785) (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_9 = e3
% 198.49/31.69 | | | | | | | | | | | | | | | | | & op(e3, e0) = e3)
% 198.49/31.69 | | | | | | | | | | | | | | | | |
% 198.49/31.69 | | | | | | | | | | | | | | | | | BETA: splitting (8785) gives:
% 198.49/31.69 | | | | | | | | | | | | | | | | |
% 198.49/31.69 | | | | | | | | | | | | | | | | | Case 1:
% 198.49/31.69 | | | | | | | | | | | | | | | | | |
% 198.49/31.69 | | | | | | | | | | | | | | | | | | (8786) all_56_4 = e3 & op(e3, e1) = e3
% 198.49/31.69 | | | | | | | | | | | | | | | | | |
% 198.49/31.69 | | | | | | | | | | | | | | | | | | ALPHA: (8786) implies:
% 198.49/31.69 | | | | | | | | | | | | | | | | | | (8787) all_56_4 = e3
% 198.49/31.69 | | | | | | | | | | | | | | | | | | (8788) op(e3, e1) = e3
% 198.49/31.69 | | | | | | | | | | | | | | | | | |
% 198.49/31.69 | | | | | | | | | | | | | | | | | | BETA: splitting (85) gives:
% 198.49/31.69 | | | | | | | | | | | | | | | | | |
% 198.49/31.69 | | | | | | | | | | | | | | | | | | Case 1:
% 198.49/31.69 | | | | | | | | | | | | | | | | | | |
% 198.49/31.69 | | | | | | | | | | | | | | | | | | | (8789) ~ (all_36_2 = e1)
% 198.49/31.69 | | | | | | | | | | | | | | | | | | |
% 198.49/31.69 | | | | | | | | | | | | | | | | | | | REDUCE: (8774), (8789) imply:
% 198.49/31.69 | | | | | | | | | | | | | | | | | | | (8790) $false
% 198.49/31.69 | | | | | | | | | | | | | | | | | | |
% 198.49/31.69 | | | | | | | | | | | | | | | | | | | CLOSE: (8790) is inconsistent.
% 198.49/31.69 | | | | | | | | | | | | | | | | | | |
% 198.49/31.69 | | | | | | | | | | | | | | | | | | Case 2:
% 198.49/31.69 | | | | | | | | | | | | | | | | | | |
% 198.49/31.69 | | | | | | | | | | | | | | | | | | | (8791) op(e1, e3) = all_36_1 & $i(all_36_1) & ( ~
% 198.49/31.69 | | | | | | | | | | | | | | | | | | | (all_36_1 = e0) | ( ~ (all_36_0 = e2) & op(e0,
% 198.49/31.69 | | | | | | | | | | | | | | | | | | | e1) = all_36_0 & $i(all_36_0)))
% 198.49/31.69 | | | | | | | | | | | | | | | | | | |
% 198.49/31.69 | | | | | | | | | | | | | | | | | | | ALPHA: (8791) implies:
% 198.49/31.69 | | | | | | | | | | | | | | | | | | | (8792) op(e1, e3) = all_36_1
% 198.49/31.69 | | | | | | | | | | | | | | | | | | |
% 198.49/31.69 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_2, e3,
% 198.49/31.69 | | | | | | | | | | | | | | | | | | | e3, e1, simplifying with (163), (8783) gives:
% 198.49/31.70 | | | | | | | | | | | | | | | | | | | (8793) all_52_2 = e3
% 198.49/31.70 | | | | | | | | | | | | | | | | | | |
% 198.49/31.70 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_2,
% 198.49/31.70 | | | | | | | | | | | | | | | | | | | all_36_1, e3, e1, simplifying with (163), (8792)
% 198.49/31.70 | | | | | | | | | | | | | | | | | | | gives:
% 198.49/31.70 | | | | | | | | | | | | | | | | | | | (8794) all_52_2 = all_36_1
% 198.49/31.70 | | | | | | | | | | | | | | | | | | |
% 198.49/31.70 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_28_1,
% 198.49/31.70 | | | | | | | | | | | | | | | | | | | all_36_1, e3, e1, simplifying with (8771), (8792)
% 198.49/31.70 | | | | | | | | | | | | | | | | | | | gives:
% 198.49/31.70 | | | | | | | | | | | | | | | | | | | (8795) all_36_1 = all_28_1
% 198.49/31.70 | | | | | | | | | | | | | | | | | | |
% 198.49/31.70 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_8, e3,
% 198.49/31.70 | | | | | | | | | | | | | | | | | | | e1, e3, simplifying with (169), (8788) gives:
% 198.49/31.70 | | | | | | | | | | | | | | | | | | | (8796) all_52_8 = e3
% 198.49/31.70 | | | | | | | | | | | | | | | | | | |
% 198.49/31.70 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (8793), (8794) imply:
% 198.49/31.70 | | | | | | | | | | | | | | | | | | | (8797) all_36_1 = e3
% 198.49/31.70 | | | | | | | | | | | | | | | | | | |
% 198.49/31.70 | | | | | | | | | | | | | | | | | | | SIMP: (8797) implies:
% 198.49/31.70 | | | | | | | | | | | | | | | | | | | (8798) all_36_1 = e3
% 198.49/31.70 | | | | | | | | | | | | | | | | | | |
% 198.49/31.70 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (8795), (8798) imply:
% 198.49/31.70 | | | | | | | | | | | | | | | | | | | (8799) all_28_1 = e3
% 198.49/31.70 | | | | | | | | | | | | | | | | | | |
% 198.49/31.70 | | | | | | | | | | | | | | | | | | | REDUCE: (144), (8793) imply:
% 198.49/31.70 | | | | | | | | | | | | | | | | | | | (8800) ~ (all_52_3 = e3)
% 198.49/31.70 | | | | | | | | | | | | | | | | | | |
% 198.49/31.70 | | | | | | | | | | | | | | | | | | | REDUCE: (123), (8796) imply:
% 198.49/31.70 | | | | | | | | | | | | | | | | | | | (8801) ~ (all_52_9 = e3)
% 198.49/31.70 | | | | | | | | | | | | | | | | | | |
% 198.49/31.70 | | | | | | | | | | | | | | | | | | | REDUCE: (362), (8796) imply:
% 198.49/31.70 | | | | | | | | | | | | | | | | | | | (8802) ~ (all_4_2 = e3)
% 198.49/31.70 | | | | | | | | | | | | | | | | | | |
% 198.49/31.70 | | | | | | | | | | | | | | | | | | | SIMP: (8802) implies:
% 198.49/31.70 | | | | | | | | | | | | | | | | | | | (8803) ~ (all_4_2 = e3)
% 198.49/31.70 | | | | | | | | | | | | | | | | | | |
% 198.49/31.70 | | | | | | | | | | | | | | | | | | | BETA: splitting (239) gives:
% 198.49/31.70 | | | | | | | | | | | | | | | | | | |
% 198.49/31.70 | | | | | | | | | | | | | | | | | | | Case 1:
% 198.49/31.70 | | | | | | | | | | | | | | | | | | | |
% 198.49/31.70 | | | | | | | | | | | | | | | | | | | | (8804) (all_57_1 = e2 & ~ (all_57_3 = e3) & ~ (all_57_8
% 198.49/31.70 | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_10 = e2) & ~ (all_57_12 =
% 198.49/31.70 | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_14 = e0) & op(e3, e3) = e2 &
% 198.49/31.70 | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_3 & op(e2, all_57_9) =
% 198.49/31.70 | | | | | | | | | | | | | | | | | | | | all_57_8 & op(e2, all_57_11) = all_57_10 &
% 198.49/31.70 | | | | | | | | | | | | | | | | | | | | op(e2, all_57_13) = all_57_12 & op(e2,
% 198.49/31.70 | | | | | | | | | | | | | | | | | | | | all_57_15) = all_57_14 & op(e2, e3) = all_57_9
% 198.49/31.70 | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = all_57_11 & op(e2, e1) =
% 198.49/31.70 | | | | | | | | | | | | | | | | | | | | all_57_13 & op(e2, e0) = all_57_15 &
% 198.49/31.70 | | | | | | | | | | | | | | | | | | | | $i(all_57_3) & $i(all_57_8) & $i(all_57_9) &
% 198.49/31.70 | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & $i(all_57_11) & $i(all_57_12) &
% 198.49/31.70 | | | | | | | | | | | | | | | | | | | | $i(all_57_13) & $i(all_57_14) & $i(all_57_15)) |
% 198.49/31.70 | | | | | | | | | | | | | | | | | | | | (all_57_1 = e1 & ~ (all_57_5 = e3) & ~
% 198.49/31.70 | | | | | | | | | | | | | | | | | | | | (all_57_16 = e3) & ~ (all_57_18 = e2) & ~
% 198.49/31.70 | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_22 = e0) & op(e3,
% 198.49/31.70 | | | | | | | | | | | | | | | | | | | | e3) = e1 & op(e3, e1) = all_57_5 & op(e1,
% 198.49/31.70 | | | | | | | | | | | | | | | | | | | | all_57_17) = all_57_16 & op(e1, all_57_19) =
% 198.49/31.70 | | | | | | | | | | | | | | | | | | | | all_57_18 & op(e1, all_57_21) = all_57_20 &
% 198.49/31.70 | | | | | | | | | | | | | | | | | | | | op(e1, all_57_23) = all_57_22 & op(e1, e3) =
% 198.49/31.70 | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e1, e2) = all_57_19 & op(e1, e1)
% 198.49/31.70 | | | | | | | | | | | | | | | | | | | | = all_57_21 & op(e1, e0) = all_57_23 &
% 198.49/31.70 | | | | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_16) & $i(all_57_17) &
% 198.49/31.70 | | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_19) & $i(all_57_20) &
% 198.49/31.70 | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_22) & $i(all_57_23)) |
% 198.49/31.70 | | | | | | | | | | | | | | | | | | | | (all_57_1 = e0 & ~ (all_57_7 = e3) & ~
% 198.49/31.70 | | | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 198.49/31.70 | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) & op(e3,
% 198.49/31.70 | | | | | | | | | | | | | | | | | | | | e3) = e0 & op(e3, e0) = all_57_7 & op(e0,
% 198.49/31.70 | | | | | | | | | | | | | | | | | | | | all_57_25) = all_57_24 & op(e0, all_57_27) =
% 198.49/31.70 | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e0, all_57_29) = all_57_28 &
% 198.49/31.70 | | | | | | | | | | | | | | | | | | | | op(e0, all_57_31) = all_57_30 & op(e0, e3) =
% 198.49/31.70 | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_27 & op(e0, e1)
% 198.49/31.70 | | | | | | | | | | | | | | | | | | | | = all_57_29 & op(e0, e0) = all_57_31 &
% 198.49/31.70 | | | | | | | | | | | | | | | | | | | | $i(all_57_7) & $i(all_57_24) & $i(all_57_25) &
% 198.49/31.70 | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_27) & $i(all_57_28) &
% 198.49/31.70 | | | | | | | | | | | | | | | | | | | | $i(all_57_29) & $i(all_57_30) & $i(all_57_31)) |
% 198.49/31.70 | | | | | | | | | | | | | | | | | | | | (all_57_11 = e3 & ~ (all_57_0 = e3) & ~
% 198.49/31.70 | | | | | | | | | | | | | | | | | | | | (all_57_2 = e2) & ~ (all_57_4 = e1) & ~
% 198.49/31.70 | | | | | | | | | | | | | | | | | | | | (all_57_6 = e0) & ~ (all_57_9 = e2) & op(e3,
% 198.49/31.70 | | | | | | | | | | | | | | | | | | | | all_57_1) = all_57_0 & op(e3, all_57_3) =
% 198.49/31.70 | | | | | | | | | | | | | | | | | | | | all_57_2 & op(e3, all_57_5) = all_57_4 & op(e3,
% 198.49/31.70 | | | | | | | | | | | | | | | | | | | | all_57_7) = all_57_6 & op(e3, e3) = all_57_1 &
% 198.49/31.70 | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_3 & op(e3, e1) = all_57_5 &
% 198.49/31.70 | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_7 & op(e2, e3) = all_57_9 &
% 198.49/31.70 | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e3 & $i(all_57_0) & $i(all_57_1) &
% 198.49/31.70 | | | | | | | | | | | | | | | | | | | | $i(all_57_2) & $i(all_57_3) & $i(all_57_4) &
% 198.49/31.70 | | | | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 198.49/31.70 | | | | | | | | | | | | | | | | | | | | $i(all_57_9))
% 198.49/31.70 | | | | | | | | | | | | | | | | | | | |
% 198.49/31.70 | | | | | | | | | | | | | | | | | | | | BETA: splitting (8804) gives:
% 198.49/31.70 | | | | | | | | | | | | | | | | | | | |
% 198.49/31.70 | | | | | | | | | | | | | | | | | | | | Case 1:
% 198.49/31.70 | | | | | | | | | | | | | | | | | | | | |
% 198.49/31.70 | | | | | | | | | | | | | | | | | | | | | (8805) (all_57_1 = e2 & ~ (all_57_3 = e3) & ~ (all_57_8
% 198.49/31.70 | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_10 = e2) & ~ (all_57_12 =
% 198.49/31.70 | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_14 = e0) & op(e3, e3) = e2 &
% 198.49/31.70 | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_3 & op(e2, all_57_9) =
% 198.49/31.70 | | | | | | | | | | | | | | | | | | | | | all_57_8 & op(e2, all_57_11) = all_57_10 &
% 198.49/31.70 | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_13) = all_57_12 & op(e2,
% 198.49/31.70 | | | | | | | | | | | | | | | | | | | | | all_57_15) = all_57_14 & op(e2, e3) = all_57_9
% 198.49/31.70 | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = all_57_11 & op(e2, e1) =
% 198.49/31.70 | | | | | | | | | | | | | | | | | | | | | all_57_13 & op(e2, e0) = all_57_15 &
% 198.49/31.70 | | | | | | | | | | | | | | | | | | | | | $i(all_57_3) & $i(all_57_8) & $i(all_57_9) &
% 198.49/31.70 | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & $i(all_57_11) & $i(all_57_12) &
% 198.49/31.70 | | | | | | | | | | | | | | | | | | | | | $i(all_57_13) & $i(all_57_14) & $i(all_57_15)) |
% 198.49/31.70 | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e1 & ~ (all_57_5 = e3) & ~
% 198.49/31.70 | | | | | | | | | | | | | | | | | | | | | (all_57_16 = e3) & ~ (all_57_18 = e2) & ~
% 198.49/31.70 | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_22 = e0) & op(e3,
% 198.49/31.70 | | | | | | | | | | | | | | | | | | | | | e3) = e1 & op(e3, e1) = all_57_5 & op(e1,
% 198.49/31.70 | | | | | | | | | | | | | | | | | | | | | all_57_17) = all_57_16 & op(e1, all_57_19) =
% 198.49/31.70 | | | | | | | | | | | | | | | | | | | | | all_57_18 & op(e1, all_57_21) = all_57_20 &
% 198.49/31.70 | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_23) = all_57_22 & op(e1, e3) =
% 198.49/31.70 | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e1, e2) = all_57_19 & op(e1, e1)
% 198.49/31.70 | | | | | | | | | | | | | | | | | | | | | = all_57_21 & op(e1, e0) = all_57_23 &
% 198.49/31.70 | | | | | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_16) & $i(all_57_17) &
% 198.49/31.70 | | | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_19) & $i(all_57_20) &
% 198.49/31.70 | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_22) & $i(all_57_23))
% 198.49/31.70 | | | | | | | | | | | | | | | | | | | | |
% 198.49/31.70 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (8778), (8788), (8805), (function-axioms) are
% 198.49/31.70 | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #734.
% 198.49/31.70 | | | | | | | | | | | | | | | | | | | | |
% 198.49/31.70 | | | | | | | | | | | | | | | | | | | | Case 2:
% 198.49/31.70 | | | | | | | | | | | | | | | | | | | | |
% 198.49/31.70 | | | | | | | | | | | | | | | | | | | | | (8806) (all_57_1 = e0 & ~ (all_57_7 = e3) & ~
% 198.49/31.70 | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 198.49/31.70 | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) & op(e3,
% 198.49/31.70 | | | | | | | | | | | | | | | | | | | | | e3) = e0 & op(e3, e0) = all_57_7 & op(e0,
% 198.49/31.70 | | | | | | | | | | | | | | | | | | | | | all_57_25) = all_57_24 & op(e0, all_57_27) =
% 198.49/31.70 | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e0, all_57_29) = all_57_28 &
% 198.49/31.70 | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_31) = all_57_30 & op(e0, e3) =
% 198.49/31.70 | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_27 & op(e0, e1)
% 198.49/31.70 | | | | | | | | | | | | | | | | | | | | | = all_57_29 & op(e0, e0) = all_57_31 &
% 198.49/31.70 | | | | | | | | | | | | | | | | | | | | | $i(all_57_7) & $i(all_57_24) & $i(all_57_25) &
% 198.49/31.70 | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_27) & $i(all_57_28) &
% 198.49/31.70 | | | | | | | | | | | | | | | | | | | | | $i(all_57_29) & $i(all_57_30) & $i(all_57_31)) |
% 198.49/31.70 | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e3 & ~ (all_57_0 = e3) & ~
% 198.49/31.70 | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e2) & ~ (all_57_4 = e1) & ~
% 198.49/31.70 | | | | | | | | | | | | | | | | | | | | | (all_57_6 = e0) & ~ (all_57_9 = e2) & op(e3,
% 198.49/31.70 | | | | | | | | | | | | | | | | | | | | | all_57_1) = all_57_0 & op(e3, all_57_3) =
% 198.49/31.70 | | | | | | | | | | | | | | | | | | | | | all_57_2 & op(e3, all_57_5) = all_57_4 & op(e3,
% 198.49/31.70 | | | | | | | | | | | | | | | | | | | | | all_57_7) = all_57_6 & op(e3, e3) = all_57_1 &
% 198.49/31.70 | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_3 & op(e3, e1) = all_57_5 &
% 198.49/31.70 | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_7 & op(e2, e3) = all_57_9 &
% 198.49/31.70 | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e3 & $i(all_57_0) & $i(all_57_1) &
% 198.49/31.70 | | | | | | | | | | | | | | | | | | | | | $i(all_57_2) & $i(all_57_3) & $i(all_57_4) &
% 198.49/31.70 | | | | | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 198.49/31.70 | | | | | | | | | | | | | | | | | | | | | $i(all_57_9))
% 198.49/31.70 | | | | | | | | | | | | | | | | | | | | |
% 198.49/31.70 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8806) gives:
% 198.49/31.70 | | | | | | | | | | | | | | | | | | | | |
% 198.49/31.70 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 198.49/31.70 | | | | | | | | | | | | | | | | | | | | | |
% 198.49/31.70 | | | | | | | | | | | | | | | | | | | | | | (8807) all_57_1 = e0 & ~ (all_57_7 = e3) & ~ (all_57_24
% 198.49/31.70 | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_26 = e2) & ~ (all_57_28 =
% 198.49/31.70 | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_30 = e0) & op(e3, e3) = e0 &
% 198.49/31.70 | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_7 & op(e0, all_57_25) =
% 198.49/31.70 | | | | | | | | | | | | | | | | | | | | | | all_57_24 & op(e0, all_57_27) = all_57_26 & op(e0,
% 198.49/31.70 | | | | | | | | | | | | | | | | | | | | | | all_57_29) = all_57_28 & op(e0, all_57_31) =
% 198.49/31.70 | | | | | | | | | | | | | | | | | | | | | | all_57_30 & op(e0, e3) = all_57_25 & op(e0, e2) =
% 198.49/31.70 | | | | | | | | | | | | | | | | | | | | | | all_57_27 & op(e0, e1) = all_57_29 & op(e0, e0) =
% 198.49/31.70 | | | | | | | | | | | | | | | | | | | | | | all_57_31 & $i(all_57_7) & $i(all_57_24) &
% 198.49/31.70 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_25) & $i(all_57_26) & $i(all_57_27) &
% 198.49/31.70 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28) & $i(all_57_29) & $i(all_57_30) &
% 198.49/31.70 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_31)
% 198.49/31.70 | | | | | | | | | | | | | | | | | | | | | |
% 198.49/31.70 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8807) implies:
% 198.49/31.70 | | | | | | | | | | | | | | | | | | | | | | (8808) op(e3, e3) = e0
% 198.49/31.70 | | | | | | | | | | | | | | | | | | | | | |
% 198.49/31.70 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (8778), (8808), (function-axioms) are
% 198.49/31.70 | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1834.
% 198.49/31.70 | | | | | | | | | | | | | | | | | | | | | |
% 198.49/31.70 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 198.49/31.70 | | | | | | | | | | | | | | | | | | | | | |
% 198.49/31.70 | | | | | | | | | | | | | | | | | | | | | | (8809) all_57_11 = e3 & ~ (all_57_0 = e3) & ~ (all_57_2
% 198.49/31.70 | | | | | | | | | | | | | | | | | | | | | | = e2) & ~ (all_57_4 = e1) & ~ (all_57_6 = e0)
% 198.49/31.70 | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_9 = e2) & op(e3, all_57_1) = all_57_0
% 198.49/31.70 | | | | | | | | | | | | | | | | | | | | | | & op(e3, all_57_3) = all_57_2 & op(e3, all_57_5) =
% 198.49/31.70 | | | | | | | | | | | | | | | | | | | | | | all_57_4 & op(e3, all_57_7) = all_57_6 & op(e3,
% 198.49/31.70 | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_1 & op(e3, e2) = all_57_3 & op(e3,
% 198.49/31.70 | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_5 & op(e3, e0) = all_57_7 & op(e2,
% 198.49/31.70 | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_9 & op(e2, e2) = e3 & $i(all_57_0)
% 198.49/31.70 | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_1) & $i(all_57_2) & $i(all_57_3) &
% 198.49/31.70 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4) & $i(all_57_5) & $i(all_57_6) &
% 198.49/31.70 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7) & $i(all_57_9)
% 198.49/31.70 | | | | | | | | | | | | | | | | | | | | | |
% 198.49/31.70 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8809) implies:
% 198.49/31.70 | | | | | | | | | | | | | | | | | | | | | | (8810) all_57_11 = e3
% 198.49/31.70 | | | | | | | | | | | | | | | | | | | | | | (8811) ~ (all_57_9 = e2)
% 198.49/31.70 | | | | | | | | | | | | | | | | | | | | | | (8812) op(e2, e3) = all_57_9
% 198.49/31.70 | | | | | | | | | | | | | | | | | | | | | | (8813) op(e3, e3) = all_57_1
% 198.49/31.70 | | | | | | | | | | | | | | | | | | | | | |
% 198.49/31.70 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (194) gives:
% 198.49/31.70 | | | | | | | | | | | | | | | | | | | | | |
% 198.49/31.70 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 198.49/31.70 | | | | | | | | | | | | | | | | | | | | | | |
% 198.49/31.70 | | | | | | | | | | | | | | | | | | | | | | | (8814) all_54_10 = e3
% 198.49/31.70 | | | | | | | | | | | | | | | | | | | | | | |
% 198.49/31.70 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (335), (8814) imply:
% 198.49/31.70 | | | | | | | | | | | | | | | | | | | | | | | (8815) all_4_2 = e3
% 198.49/31.70 | | | | | | | | | | | | | | | | | | | | | | |
% 198.49/31.70 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8803), (8815) imply:
% 198.49/31.70 | | | | | | | | | | | | | | | | | | | | | | | (8816) $false
% 198.49/31.70 | | | | | | | | | | | | | | | | | | | | | | |
% 198.49/31.70 | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (8816) is inconsistent.
% 198.49/31.70 | | | | | | | | | | | | | | | | | | | | | | |
% 198.49/31.70 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 198.49/31.70 | | | | | | | | | | | | | | | | | | | | | | |
% 198.49/31.70 | | | | | | | | | | | | | | | | | | | | | | | (8817) ~ (all_54_10 = e3)
% 198.49/31.70 | | | | | | | | | | | | | | | | | | | | | | | (8818) all_54_10 = e2 | all_54_10 = e1 | all_54_10 = e0
% 198.49/31.70 | | | | | | | | | | | | | | | | | | | | | | |
% 198.49/31.70 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8818) gives:
% 198.49/31.70 | | | | | | | | | | | | | | | | | | | | | | |
% 198.49/31.70 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 198.49/31.70 | | | | | | | | | | | | | | | | | | | | | | | |
% 198.49/31.70 | | | | | | | | | | | | | | | | | | | | | | | | (8819) all_54_10 = e2
% 198.49/31.70 | | | | | | | | | | | | | | | | | | | | | | | |
% 198.49/31.70 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (335), (8819) imply:
% 198.49/31.70 | | | | | | | | | | | | | | | | | | | | | | | | (8820) all_4_2 = e2
% 198.49/31.70 | | | | | | | | | | | | | | | | | | | | | | | |
% 198.49/31.70 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (375), (8820) imply:
% 198.49/31.70 | | | | | | | | | | | | | | | | | | | | | | | | (8821) $false
% 198.49/31.70 | | | | | | | | | | | | | | | | | | | | | | | |
% 198.49/31.70 | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (8821) is inconsistent.
% 198.49/31.70 | | | | | | | | | | | | | | | | | | | | | | | |
% 198.49/31.70 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 198.49/31.70 | | | | | | | | | | | | | | | | | | | | | | | |
% 198.49/31.70 | | | | | | | | | | | | | | | | | | | | | | | | (8822) ~ (all_54_10 = e2)
% 198.49/31.70 | | | | | | | | | | | | | | | | | | | | | | | | (8823) all_54_10 = e1 | all_54_10 = e0
% 198.49/31.70 | | | | | | | | | | | | | | | | | | | | | | | |
% 198.49/31.70 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8823) gives:
% 198.49/31.70 | | | | | | | | | | | | | | | | | | | | | | | |
% 198.49/31.70 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 198.49/31.70 | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.49/31.70 | | | | | | | | | | | | | | | | | | | | | | | | | (8824) all_54_10 = e1
% 198.49/31.70 | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.49/31.70 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (335), (8824) imply:
% 198.49/31.70 | | | | | | | | | | | | | | | | | | | | | | | | | (8825) all_4_2 = e1
% 198.49/31.70 | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.49/31.70 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8803), (8825) imply:
% 198.49/31.70 | | | | | | | | | | | | | | | | | | | | | | | | | (8826) ~ (e3 = e1)
% 198.49/31.70 | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.49/31.70 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (36), (8825) imply:
% 198.49/31.70 | | | | | | | | | | | | | | | | | | | | | | | | | (8827) op(e1, e1) = e1
% 198.49/31.70 | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.49/31.70 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (226) gives:
% 198.49/31.70 | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.49/31.70 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 198.49/31.70 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.49/31.70 | | | | | | | | | | | | | | | | | | | | | | | | | | (8828) (all_56_1 = e1 & op(e3, e2) = e1) | (all_56_3 = e1
% 198.49/31.70 | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1)
% 198.49/31.70 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.49/31.70 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (230), (234), (236),
% 198.49/31.70 | | | | | | | | | | | | | | | | | | | | | | | | | | (8340), (8778), (8787), (8828), (function-axioms)
% 198.49/31.70 | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #733.
% 198.49/31.70 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.49/31.70 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 198.49/31.70 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.49/31.70 | | | | | | | | | | | | | | | | | | | | | | | | | | (8829) (all_56_7 = e1 & op(e1, e2) = e1) | (all_56_13 =
% 198.49/31.70 | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e2) = e1)
% 198.49/31.70 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.49/31.70 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8829) gives:
% 198.49/31.70 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.49/31.70 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 198.49/31.70 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.49/31.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | (8830) all_56_7 = e1 & op(e1, e2) = e1
% 198.49/31.70 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.49/31.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8830) implies:
% 198.49/31.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | (8831) all_56_7 = e1
% 198.49/31.70 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.49/31.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (9), (213), (215), (8782),
% 198.49/31.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | (8827), (8831), (function-axioms) are inconsistent
% 198.49/31.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #732.
% 198.49/31.70 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.49/31.70 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 198.49/31.70 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.49/31.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | (8832) all_56_13 = e1 & op(e0, e2) = e1
% 198.49/31.70 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.49/31.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8832) implies:
% 198.49/31.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | (8833) all_56_13 = e1
% 198.49/31.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | (8834) op(e0, e2) = e1
% 198.49/31.70 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.49/31.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (222) gives:
% 198.49/31.70 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.49/31.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 198.52/31.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.52/31.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8835) (all_56_2 = e1 & op(e2, e3) = e1) | (all_56_3 = e1
% 198.52/31.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1)
% 198.52/31.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.52/31.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (229), (233), (235),
% 198.52/31.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8340), (8778), (8782), (8835), (function-axioms)
% 198.52/31.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #731.
% 198.52/31.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.52/31.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 198.52/31.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.52/31.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8836) (all_56_5 = e1 & op(e2, e1) = e1) | (all_56_10 =
% 198.52/31.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e2, e0) = e1)
% 198.52/31.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.52/31.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8836) gives:
% 198.52/31.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.52/31.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 198.52/31.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.52/31.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8837) all_56_5 = e1 & op(e2, e1) = e1
% 198.52/31.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.52/31.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8837) implies:
% 198.52/31.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8838) all_56_5 = e1
% 198.52/31.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.52/31.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (9), (217), (219), (8787),
% 198.52/31.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8827), (8838), (function-axioms) are inconsistent
% 198.52/31.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1159.
% 198.52/31.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.52/31.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 198.52/31.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.52/31.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8839) all_56_10 = e1 & op(e2, e0) = e1
% 198.52/31.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.52/31.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8839) implies:
% 198.52/31.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8840) all_56_10 = e1
% 198.52/31.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8841) op(e2, e0) = e1
% 198.52/31.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.52/31.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_7, e1,
% 198.52/31.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2, e0, simplifying with (158), (8834) gives:
% 198.52/31.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8842) all_52_7 = e1
% 198.52/31.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.52/31.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_13,
% 198.52/31.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1, e0, e2, simplifying with (164), (8841) gives:
% 198.52/31.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8843) all_52_13 = e1
% 198.52/31.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.52/31.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_1,
% 198.52/31.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_9, e3, e2, simplifying with (167), (8812)
% 198.52/31.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 198.52/31.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8844) all_57_9 = all_52_1
% 198.52/31.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.52/31.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e1, all_57_1,
% 198.52/31.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3, e3, simplifying with (8778), (8813) gives:
% 198.52/31.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8845) all_57_1 = e1
% 198.52/31.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.52/31.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8811), (8844) imply:
% 198.52/31.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8846) ~ (all_52_1 = e2)
% 198.52/31.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.52/31.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (145), (8843) imply:
% 198.52/31.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8847) ~ (all_52_1 = e1)
% 198.52/31.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.52/31.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (128), (8842) imply:
% 198.52/31.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8848) ~ (all_52_6 = e1)
% 198.52/31.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.52/31.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (117), (8843) imply:
% 198.52/31.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8849) ~ (all_52_9 = e1)
% 198.52/31.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.52/31.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (110), (8843) imply:
% 198.52/31.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8850) ~ (all_52_14 = e1)
% 198.52/31.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.52/31.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (8850) implies:
% 198.52/31.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8851) ~ (all_52_14 = e1)
% 198.52/31.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.52/31.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (200) gives:
% 198.52/31.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.52/31.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 198.52/31.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.52/31.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8852) all_54_4 = e3
% 198.52/31.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.52/31.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (269), (8852) imply:
% 198.52/31.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8853) all_52_1 = e3
% 198.52/31.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.52/31.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8336), (8853) imply:
% 198.52/31.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8854) $false
% 198.52/31.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.52/31.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (8854) is inconsistent.
% 198.52/31.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.52/31.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 198.52/31.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.52/31.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8855) all_54_4 = e2 | all_54_4 = e1 | all_54_4 = e0
% 198.52/31.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.52/31.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (238) gives:
% 198.52/31.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.52/31.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 198.52/31.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.52/31.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8856) (all_57_3 = e3 & ~ (all_57_1 = e2) & ~ (all_57_8
% 198.52/31.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_10 = e2) & ~ (all_57_12 =
% 198.52/31.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_14 = e0) & op(e3, e3) =
% 198.52/31.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e2) = e3 & op(e2, all_57_9) =
% 198.52/31.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_8 & op(e2, all_57_11) = all_57_10 &
% 198.52/31.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_13) = all_57_12 & op(e2,
% 198.52/31.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15) = all_57_14 & op(e2, e3) = all_57_9
% 198.52/31.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = all_57_11 & op(e2, e1) =
% 198.52/31.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_13 & op(e2, e0) = all_57_15 &
% 198.52/31.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_8) & $i(all_57_9) &
% 198.52/31.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & $i(all_57_11) & $i(all_57_12) &
% 198.52/31.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13) & $i(all_57_14) & $i(all_57_15)) |
% 198.52/31.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_5 = e3 & ~ (all_57_1 = e1) & ~
% 198.52/31.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_16 = e3) & ~ (all_57_18 = e2) & ~
% 198.52/31.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_22 = e0) & op(e3,
% 198.52/31.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_1 & op(e3, e1) = e3 & op(e1,
% 198.52/31.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17) = all_57_16 & op(e1, all_57_19) =
% 198.52/31.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_18 & op(e1, all_57_21) = all_57_20 &
% 198.52/31.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_23) = all_57_22 & op(e1, e3) =
% 198.52/31.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e1, e2) = all_57_19 & op(e1, e1)
% 198.52/31.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_21 & op(e1, e0) = all_57_23 &
% 198.52/31.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_16) & $i(all_57_17) &
% 198.52/31.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_19) & $i(all_57_20) &
% 198.52/31.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_22) & $i(all_57_23)) |
% 198.52/31.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_7 = e3 & ~ (all_57_1 = e0) & ~
% 198.52/31.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 198.52/31.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) & op(e3,
% 198.52/31.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_1 & op(e3, e0) = e3 & op(e0,
% 198.52/31.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25) = all_57_24 & op(e0, all_57_27) =
% 198.52/31.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e0, all_57_29) = all_57_28 &
% 198.52/31.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_31) = all_57_30 & op(e0, e3) =
% 198.52/31.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_27 & op(e0, e1)
% 198.52/31.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_29 & op(e0, e0) = all_57_31 &
% 198.52/31.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_24) & $i(all_57_25) &
% 198.52/31.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_27) & $i(all_57_28) &
% 198.52/31.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29) & $i(all_57_30) & $i(all_57_31)) |
% 198.52/31.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e2 & ~ (all_57_0 = e3) & ~ (all_57_2
% 198.52/31.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2) & ~ (all_57_4 = e1) & ~ (all_57_6 =
% 198.52/31.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_11 = e3) & op(e3, all_57_1) =
% 198.52/31.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_0 & op(e3, all_57_3) = all_57_2 & op(e3,
% 198.52/31.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_5) = all_57_4 & op(e3, all_57_7) =
% 198.52/31.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_6 & op(e3, e3) = all_57_1 & op(e3, e2) =
% 198.52/31.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 & op(e3, e1) = all_57_5 & op(e3, e0) =
% 198.52/31.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7 & op(e2, e3) = e2 & op(e2, e2) =
% 198.52/31.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_11 & $i(all_57_0) & $i(all_57_1) &
% 198.52/31.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_2) & $i(all_57_3) & $i(all_57_4) &
% 198.52/31.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 198.52/31.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11))
% 198.52/31.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.52/31.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8856) gives:
% 198.52/31.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.52/31.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 198.52/31.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.52/31.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8857) (all_57_3 = e3 & ~ (all_57_1 = e2) & ~ (all_57_8
% 198.52/31.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_10 = e2) & ~ (all_57_12 =
% 198.52/31.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_14 = e0) & op(e3, e3) =
% 198.52/31.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e2) = e3 & op(e2, all_57_9) =
% 198.52/31.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_8 & op(e2, all_57_11) = all_57_10 &
% 198.52/31.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_13) = all_57_12 & op(e2,
% 198.52/31.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15) = all_57_14 & op(e2, e3) = all_57_9
% 198.52/31.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = all_57_11 & op(e2, e1) =
% 198.52/31.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_13 & op(e2, e0) = all_57_15 &
% 198.52/31.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_8) & $i(all_57_9) &
% 198.52/31.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & $i(all_57_11) & $i(all_57_12) &
% 198.52/31.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13) & $i(all_57_14) & $i(all_57_15)) |
% 198.52/31.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_5 = e3 & ~ (all_57_1 = e1) & ~
% 198.52/31.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_16 = e3) & ~ (all_57_18 = e2) & ~
% 198.52/31.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_22 = e0) & op(e3,
% 198.52/31.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_1 & op(e3, e1) = e3 & op(e1,
% 198.52/31.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17) = all_57_16 & op(e1, all_57_19) =
% 198.52/31.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_18 & op(e1, all_57_21) = all_57_20 &
% 198.52/31.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_23) = all_57_22 & op(e1, e3) =
% 198.52/31.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e1, e2) = all_57_19 & op(e1, e1)
% 198.52/31.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_21 & op(e1, e0) = all_57_23 &
% 198.52/31.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_16) & $i(all_57_17) &
% 198.52/31.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_19) & $i(all_57_20) &
% 198.52/31.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_22) & $i(all_57_23))
% 198.52/31.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.52/31.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (170), (8337), (8778), (8857), (function-axioms)
% 198.52/31.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1606.
% 198.52/31.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.52/31.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 198.52/31.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.52/31.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8858) (all_57_7 = e3 & ~ (all_57_1 = e0) & ~
% 198.52/31.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 198.52/31.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) & op(e3,
% 198.52/31.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_1 & op(e3, e0) = e3 & op(e0,
% 198.52/31.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25) = all_57_24 & op(e0, all_57_27) =
% 198.52/31.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e0, all_57_29) = all_57_28 &
% 198.52/31.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_31) = all_57_30 & op(e0, e3) =
% 198.52/31.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_27 & op(e0, e1)
% 198.52/31.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_29 & op(e0, e0) = all_57_31 &
% 198.52/31.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_24) & $i(all_57_25) &
% 198.52/31.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_27) & $i(all_57_28) &
% 198.52/31.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29) & $i(all_57_30) & $i(all_57_31)) |
% 198.52/31.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e2 & ~ (all_57_0 = e3) & ~ (all_57_2
% 198.52/31.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2) & ~ (all_57_4 = e1) & ~ (all_57_6 =
% 198.52/31.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_11 = e3) & op(e3, all_57_1) =
% 198.52/31.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_0 & op(e3, all_57_3) = all_57_2 & op(e3,
% 198.52/31.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_5) = all_57_4 & op(e3, all_57_7) =
% 198.52/31.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_6 & op(e3, e3) = all_57_1 & op(e3, e2) =
% 198.52/31.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 & op(e3, e1) = all_57_5 & op(e3, e0) =
% 198.52/31.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7 & op(e2, e3) = e2 & op(e2, e2) =
% 198.52/31.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_11 & $i(all_57_0) & $i(all_57_1) &
% 198.52/31.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_2) & $i(all_57_3) & $i(all_57_4) &
% 198.52/31.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 198.52/31.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11))
% 198.52/31.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.52/31.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (167), (168), (7529), (8846), (8858),
% 198.52/31.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 198.52/31.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1927.
% 198.52/31.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.52/31.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 198.52/31.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.52/31.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 198.52/31.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.52/31.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8859) (all_57_13 = e2 & ~ (all_57_11 = e1) & ~
% 198.52/31.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_16 = e3) & ~ (all_57_18 = e2) & ~
% 198.52/31.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_22 = e0) & op(e2,
% 198.52/31.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_11 & op(e2, e1) = e2 & op(e1,
% 198.52/31.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17) = all_57_16 & op(e1, all_57_19) =
% 198.52/31.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_18 & op(e1, all_57_21) = all_57_20 &
% 198.52/31.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_23) = all_57_22 & op(e1, e3) =
% 198.52/31.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e1, e2) = all_57_19 & op(e1, e1)
% 198.52/31.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_21 & op(e1, e0) = all_57_23 &
% 198.52/31.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_16) & $i(all_57_17) &
% 198.52/31.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_19) & $i(all_57_20) &
% 198.52/31.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_22) & $i(all_57_23)) |
% 198.52/31.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e2 & ~ (all_57_11 = e0) & ~
% 198.52/31.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 198.52/31.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) & op(e2,
% 198.52/31.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_11 & op(e2, e0) = e2 & op(e0,
% 198.52/31.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25) = all_57_24 & op(e0, all_57_27) =
% 198.52/31.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e0, all_57_29) = all_57_28 &
% 198.52/31.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_31) = all_57_30 & op(e0, e3) =
% 198.52/31.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_27 & op(e0, e1)
% 198.52/31.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_29 & op(e0, e0) = all_57_31 &
% 198.52/31.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_24) & $i(all_57_25) &
% 198.52/31.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_27) & $i(all_57_28) &
% 198.52/31.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29) & $i(all_57_30) & $i(all_57_31)) |
% 198.52/31.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_17 = e1 & ~ (all_57_0 = e3) & ~
% 198.52/31.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e2) & ~ (all_57_4 = e1) & ~
% 198.52/31.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_6 = e0) & ~ (all_57_21 = e3) & op(e3,
% 198.52/31.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1) = all_57_0 & op(e3, all_57_3) =
% 198.52/31.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_2 & op(e3, all_57_5) = all_57_4 & op(e3,
% 198.52/31.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7) = all_57_6 & op(e3, e3) = all_57_1 &
% 198.52/31.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_3 & op(e3, e1) = all_57_5 &
% 198.52/31.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_7 & op(e1, e3) = e1 & op(e1,
% 198.52/31.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_21 & $i(all_57_0) & $i(all_57_1)
% 198.52/31.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_2) & $i(all_57_3) & $i(all_57_4) &
% 198.52/31.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 198.52/31.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21)) | (all_57_19 = e1 & ~ (all_57_8
% 198.52/31.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_10 = e2) & ~ (all_57_12 =
% 198.52/31.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_14 = e0) & ~ (all_57_21 =
% 198.52/31.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & op(e2, all_57_9) = all_57_8 & op(e2,
% 198.52/31.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_11) = all_57_10 & op(e2, all_57_13) =
% 198.52/31.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & op(e2, all_57_15) = all_57_14 &
% 198.52/31.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_9 & op(e2, e2) = all_57_11 &
% 198.52/31.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_57_13 & op(e2, e0) = all_57_15
% 198.52/31.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e1 & op(e1, e1) = all_57_21 &
% 198.52/31.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8) & $i(all_57_9) & $i(all_57_10) &
% 198.52/31.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_12) & $i(all_57_13) &
% 198.52/31.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & $i(all_57_15) & $i(all_57_21)) |
% 198.52/31.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (op(e0, e0) = all_57_31 & $i(all_57_31) &
% 198.52/31.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_23 = e1 & ~ (all_57_21 = e0) & ~
% 198.52/31.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 198.52/31.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) &
% 198.52/31.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_21 & op(e1, e0) = e1 &
% 198.52/31.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_25) = all_57_24 & op(e0,
% 198.52/31.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27) = all_57_26 & op(e0, all_57_29)
% 198.52/31.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_28 & op(e0, all_57_31) = all_57_30
% 198.52/31.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e3) = all_57_25 & op(e0, e2) =
% 198.52/31.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27 & op(e0, e1) = all_57_29 &
% 198.52/31.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_24) &
% 198.52/31.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_25) & $i(all_57_26) &
% 198.52/31.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27) & $i(all_57_28) &
% 198.52/31.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29) & $i(all_57_30)) | (all_57_25
% 198.52/31.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & ~ (all_57_0 = e3) & ~ (all_57_2 =
% 198.52/31.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_4 = e1) & ~ (all_57_6 =
% 198.52/31.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_31 = e3) & op(e3,
% 198.52/31.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1) = all_57_0 & op(e3, all_57_3) =
% 198.52/31.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_2 & op(e3, all_57_5) = all_57_4 &
% 198.52/31.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, all_57_7) = all_57_6 & op(e3, e3) =
% 198.52/31.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e2) = all_57_3 & op(e3,
% 198.52/31.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_5 & op(e3, e0) = all_57_7 &
% 198.52/31.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_0) &
% 198.52/31.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_2) & $i(all_57_3) &
% 198.52/31.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4) & $i(all_57_5) & $i(all_57_6) &
% 198.52/31.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7)) | (all_57_27 = e0 & ~
% 198.52/31.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e3) & ~ (all_57_10 = e2) & ~
% 198.52/31.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e1) & ~ (all_57_14 = e0) & ~
% 198.52/31.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e2) & op(e2, all_57_9) =
% 198.52/31.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_8 & op(e2, all_57_11) = all_57_10 &
% 198.52/31.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_13) = all_57_12 & op(e2,
% 198.52/31.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15) = all_57_14 & op(e2, e3) =
% 198.52/31.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_9 & op(e2, e2) = all_57_11 & op(e2,
% 198.52/31.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_13 & op(e2, e0) = all_57_15 &
% 198.52/31.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_8) &
% 198.52/31.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9) & $i(all_57_10) & $i(all_57_11)
% 198.52/31.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_12) & $i(all_57_13) &
% 198.52/31.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & $i(all_57_15)) | (all_57_29
% 198.52/31.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & ~ (all_57_16 = e3) & ~ (all_57_18 =
% 198.52/31.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_20 = e1) & ~ (all_57_22
% 198.52/31.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_31 = e1) & op(e1,
% 198.52/31.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17) = all_57_16 & op(e1, all_57_19)
% 198.52/31.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_18 & op(e1, all_57_21) = all_57_20
% 198.52/31.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, all_57_23) = all_57_22 & op(e1, e3)
% 198.52/31.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_17 & op(e1, e2) = all_57_19 &
% 198.52/31.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_21 & op(e1, e0) =
% 198.52/31.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23 & op(e0, e1) = e0 & $i(all_57_16)
% 198.52/31.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_17) & $i(all_57_18) &
% 198.52/31.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_20) &
% 198.52/31.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_22) &
% 198.52/31.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23))))
% 198.52/31.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.52/31.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8859) gives:
% 198.52/31.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.52/31.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 198.52/31.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.52/31.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8860) (all_57_13 = e2 & ~ (all_57_11 = e1) & ~
% 198.52/31.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_16 = e3) & ~ (all_57_18 = e2) & ~
% 198.52/31.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_22 = e0) & op(e2,
% 198.52/31.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_11 & op(e2, e1) = e2 & op(e1,
% 198.52/31.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17) = all_57_16 & op(e1, all_57_19) =
% 198.52/31.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_18 & op(e1, all_57_21) = all_57_20 &
% 198.52/31.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_23) = all_57_22 & op(e1, e3) =
% 198.52/31.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e1, e2) = all_57_19 & op(e1, e1)
% 198.52/31.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_21 & op(e1, e0) = all_57_23 &
% 198.52/31.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_16) & $i(all_57_17) &
% 198.52/31.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_19) & $i(all_57_20) &
% 198.52/31.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_22) & $i(all_57_23)) |
% 198.52/31.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e2 & ~ (all_57_11 = e0) & ~
% 198.52/31.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 198.52/31.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) & op(e2,
% 198.52/31.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_11 & op(e2, e0) = e2 & op(e0,
% 198.52/31.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25) = all_57_24 & op(e0, all_57_27) =
% 198.52/31.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e0, all_57_29) = all_57_28 &
% 198.52/31.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_31) = all_57_30 & op(e0, e3) =
% 198.52/31.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_27 & op(e0, e1)
% 198.52/31.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_29 & op(e0, e0) = all_57_31 &
% 198.52/31.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_24) & $i(all_57_25) &
% 198.52/31.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_27) & $i(all_57_28) &
% 198.52/31.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29) & $i(all_57_30) & $i(all_57_31))
% 198.52/31.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.52/31.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8860) gives:
% 198.52/31.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.52/31.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 198.52/31.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.52/31.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8861) all_57_13 = e2 & ~ (all_57_11 = e1) & ~
% 198.52/31.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_16 = e3) & ~ (all_57_18 = e2) & ~
% 198.52/31.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_22 = e0) & op(e2,
% 198.52/31.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_11 & op(e2, e1) = e2 & op(e1,
% 198.52/31.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17) = all_57_16 & op(e1, all_57_19) =
% 198.52/31.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_18 & op(e1, all_57_21) = all_57_20 & op(e1,
% 198.52/31.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23) = all_57_22 & op(e1, e3) = all_57_17
% 198.52/31.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = all_57_19 & op(e1, e1) = all_57_21
% 198.52/31.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e0) = all_57_23 & $i(all_57_11) &
% 198.52/31.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_16) & $i(all_57_17) & $i(all_57_18) &
% 198.52/31.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_20) & $i(all_57_21) &
% 198.52/31.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_23)
% 198.52/31.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.52/31.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8861) implies:
% 198.52/31.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8862) ~ (all_57_20 = e1)
% 198.52/31.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8863) op(e1, e1) = all_57_21
% 198.52/31.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8864) op(e1, all_57_21) = all_57_20
% 198.52/31.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.52/31.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8827), (8862), (8863), (8864), (function-axioms)
% 198.52/31.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1953.
% 198.52/31.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.52/31.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 198.52/31.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.52/31.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8865) all_57_15 = e2 & ~ (all_57_11 = e0) & ~
% 198.52/31.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 198.52/31.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) & op(e2,
% 198.52/31.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_11 & op(e2, e0) = e2 & op(e0,
% 198.52/31.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25) = all_57_24 & op(e0, all_57_27) =
% 198.52/31.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e0, all_57_29) = all_57_28 & op(e0,
% 198.52/31.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_31) = all_57_30 & op(e0, e3) = all_57_25
% 198.52/31.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e2) = all_57_27 & op(e0, e1) = all_57_29
% 198.52/31.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = all_57_31 & $i(all_57_11) &
% 198.52/31.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_24) & $i(all_57_25) & $i(all_57_26) &
% 198.52/31.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27) & $i(all_57_28) & $i(all_57_29) &
% 198.52/31.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30) & $i(all_57_31)
% 198.52/31.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.52/31.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8865) implies:
% 198.52/31.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8866) ~ (all_57_11 = e0)
% 198.52/31.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8867) op(e2, e0) = e2
% 198.52/31.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.52/31.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (223) gives:
% 198.52/31.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.52/31.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 198.52/31.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.52/31.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8868) (all_56_2 = e2 & op(e2, e3) = e2) | (all_56_3 = e2
% 198.52/31.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e2)
% 198.52/31.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.52/31.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8868) gives:
% 198.52/31.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.52/31.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 198.52/31.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.52/31.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8869) all_56_2 = e2 & op(e2, e3) = e2
% 198.52/31.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.52/31.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8869) implies:
% 198.52/31.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8870) op(e2, e3) = e2
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (167), (8846), (8870), (function-axioms) are
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1944.
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8871) all_56_3 = e2 & op(e2, e2) = e2
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8871) implies:
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8872) op(e2, e2) = e2
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (51), (164), (165),
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (167), (224), (229), (231), (233), (7530), (7561),
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8339), (8782), (8783), (8846), (8872),
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1584.
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8873) (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_10 =
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2)
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8873) gives:
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8874) all_56_5 = e2 & op(e2, e1) = e2
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8874) implies:
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8875) all_56_5 = e2
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (233) gives:
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8876) (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e2)
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (167), (8778), (8846), (8876),
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #730.
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8877) (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_12 =
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e3) = e2)
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8877) gives:
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8878) all_56_6 = e2 & op(e1, e3) = e2
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8878) implies:
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8879) all_56_6 = e2
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (8782), (8879) are inconsistent by sub-proof
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1820.
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8880) all_56_12 = e2 & op(e0, e3) = e2
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8880) implies:
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8881) op(e0, e3) = e2
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (146), (198), (206), (219), (261),
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (269), (7532), (8339), (8787), (8827), (8833),
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8841), (8846), (8847), (8849), (8855), (8867),
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8875), (8881), (function-axioms) are inconsistent
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #728.
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8882) all_56_10 = e2 & op(e2, e0) = e2
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (8840), (8882) are inconsistent by sub-proof
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1561.
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8883) (all_57_17 = e1 & ~ (all_57_0 = e3) & ~
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e2) & ~ (all_57_4 = e1) & ~
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_6 = e0) & ~ (all_57_21 = e3) & op(e3,
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1) = all_57_0 & op(e3, all_57_3) =
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_2 & op(e3, all_57_5) = all_57_4 & op(e3,
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7) = all_57_6 & op(e3, e3) = all_57_1 &
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_3 & op(e3, e1) = all_57_5 &
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_7 & op(e1, e3) = e1 & op(e1,
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_21 & $i(all_57_0) & $i(all_57_1)
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_2) & $i(all_57_3) & $i(all_57_4) &
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21)) | (all_57_19 = e1 & ~ (all_57_8
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_10 = e2) & ~ (all_57_12 =
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_14 = e0) & ~ (all_57_21 =
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & op(e2, all_57_9) = all_57_8 & op(e2,
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_11) = all_57_10 & op(e2, all_57_13) =
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & op(e2, all_57_15) = all_57_14 &
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_9 & op(e2, e2) = all_57_11 &
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_57_13 & op(e2, e0) = all_57_15
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e1 & op(e1, e1) = all_57_21 &
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8) & $i(all_57_9) & $i(all_57_10) &
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_12) & $i(all_57_13) &
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & $i(all_57_15) & $i(all_57_21)) |
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (op(e0, e0) = all_57_31 & $i(all_57_31) &
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_23 = e1 & ~ (all_57_21 = e0) & ~
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) &
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_21 & op(e1, e0) = e1 &
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_25) = all_57_24 & op(e0,
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27) = all_57_26 & op(e0, all_57_29)
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_28 & op(e0, all_57_31) = all_57_30
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e3) = all_57_25 & op(e0, e2) =
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27 & op(e0, e1) = all_57_29 &
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_24) &
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_25) & $i(all_57_26) &
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27) & $i(all_57_28) &
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29) & $i(all_57_30)) | (all_57_25
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & ~ (all_57_0 = e3) & ~ (all_57_2 =
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_4 = e1) & ~ (all_57_6 =
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_31 = e3) & op(e3,
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1) = all_57_0 & op(e3, all_57_3) =
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_2 & op(e3, all_57_5) = all_57_4 &
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, all_57_7) = all_57_6 & op(e3, e3) =
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e2) = all_57_3 & op(e3,
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_5 & op(e3, e0) = all_57_7 &
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_0) &
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_2) & $i(all_57_3) &
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4) & $i(all_57_5) & $i(all_57_6) &
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7)) | (all_57_27 = e0 & ~
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e3) & ~ (all_57_10 = e2) & ~
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e1) & ~ (all_57_14 = e0) & ~
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e2) & op(e2, all_57_9) =
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_8 & op(e2, all_57_11) = all_57_10 &
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_13) = all_57_12 & op(e2,
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15) = all_57_14 & op(e2, e3) =
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_9 & op(e2, e2) = all_57_11 & op(e2,
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_13 & op(e2, e0) = all_57_15 &
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_8) &
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9) & $i(all_57_10) & $i(all_57_11)
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_12) & $i(all_57_13) &
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & $i(all_57_15)) | (all_57_29
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & ~ (all_57_16 = e3) & ~ (all_57_18 =
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_20 = e1) & ~ (all_57_22
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_31 = e1) & op(e1,
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17) = all_57_16 & op(e1, all_57_19)
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_18 & op(e1, all_57_21) = all_57_20
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, all_57_23) = all_57_22 & op(e1, e3)
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_17 & op(e1, e2) = all_57_19 &
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_21 & op(e1, e0) =
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23 & op(e0, e1) = e0 & $i(all_57_16)
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_17) & $i(all_57_18) &
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_20) &
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_22) &
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23))))
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8883) gives:
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8884) all_57_17 = e1 & ~ (all_57_0 = e3) & ~ (all_57_2
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2) & ~ (all_57_4 = e1) & ~ (all_57_6 = e0)
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_21 = e3) & op(e3, all_57_1) =
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_0 & op(e3, all_57_3) = all_57_2 & op(e3,
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_5) = all_57_4 & op(e3, all_57_7) =
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_6 & op(e3, e3) = all_57_1 & op(e3, e2) =
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 & op(e3, e1) = all_57_5 & op(e3, e0) =
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7 & op(e1, e3) = e1 & op(e1, e1) =
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_21 & $i(all_57_0) & $i(all_57_1) &
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_2) & $i(all_57_3) & $i(all_57_4) &
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21)
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8884) implies:
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8885) op(e1, e3) = e1
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (163), (8775), (8792), (8885), (function-axioms)
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1750.
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8886) (all_57_19 = e1 & ~ (all_57_8 = e3) & ~
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e2) & ~ (all_57_12 = e1) & ~
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e0) & ~ (all_57_21 = e2) & op(e2,
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_9) = all_57_8 & op(e2, all_57_11) =
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e2, all_57_13) = all_57_12 &
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_15) = all_57_14 & op(e2, e3) =
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_9 & op(e2, e2) = all_57_11 & op(e2, e1) =
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_13 & op(e2, e0) = all_57_15 & op(e1, e2)
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & op(e1, e1) = all_57_21 & $i(all_57_8) &
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9) & $i(all_57_10) & $i(all_57_11) &
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & $i(all_57_13) & $i(all_57_14) &
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & $i(all_57_21)) | (op(e0, e0) =
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_31 & $i(all_57_31) & ((all_57_23 = e1 &
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_21 = e0) & ~ (all_57_24 = e3) &
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_26 = e2) & ~ (all_57_28 = e1) &
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_30 = e0) & op(e1, e1) = all_57_21
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e0) = e1 & op(e0, all_57_25) =
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_24 & op(e0, all_57_27) = all_57_26 &
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_29) = all_57_28 & op(e0,
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_31) = all_57_30 & op(e0, e3) =
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_27 & op(e0,
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_29 & $i(all_57_21) &
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_24) & $i(all_57_25) &
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_27) &
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28) & $i(all_57_29) &
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_25 = e0 & ~
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_0 = e3) & ~ (all_57_2 = e2) & ~
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1) & ~ (all_57_6 = e0) & ~
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e3) & op(e3, all_57_1) =
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_0 & op(e3, all_57_3) = all_57_2 &
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, all_57_5) = all_57_4 & op(e3,
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7) = all_57_6 & op(e3, e3) =
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e2) = all_57_3 & op(e3,
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_5 & op(e3, e0) = all_57_7 &
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_0) &
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_2) & $i(all_57_3) &
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4) & $i(all_57_5) & $i(all_57_6) &
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7)) | (all_57_27 = e0 & ~
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e3) & ~ (all_57_10 = e2) & ~
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e1) & ~ (all_57_14 = e0) & ~
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e2) & op(e2, all_57_9) =
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_8 & op(e2, all_57_11) = all_57_10 &
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_13) = all_57_12 & op(e2,
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15) = all_57_14 & op(e2, e3) =
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_9 & op(e2, e2) = all_57_11 & op(e2,
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_13 & op(e2, e0) = all_57_15 &
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_8) &
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9) & $i(all_57_10) & $i(all_57_11)
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_12) & $i(all_57_13) &
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & $i(all_57_15)) | (all_57_29
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & ~ (all_57_16 = e3) & ~ (all_57_18 =
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_20 = e1) & ~ (all_57_22
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_31 = e1) & op(e1,
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17) = all_57_16 & op(e1, all_57_19)
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_18 & op(e1, all_57_21) = all_57_20
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, all_57_23) = all_57_22 & op(e1, e3)
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_17 & op(e1, e2) = all_57_19 &
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_21 & op(e1, e0) =
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23 & op(e0, e1) = e0 & $i(all_57_16)
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_17) & $i(all_57_18) &
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_20) &
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_22) &
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23))))
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8886) gives:
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8887) all_57_19 = e1 & ~ (all_57_8 = e3) & ~
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e2) & ~ (all_57_12 = e1) & ~
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e0) & ~ (all_57_21 = e2) & op(e2,
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_9) = all_57_8 & op(e2, all_57_11) =
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e2, all_57_13) = all_57_12 & op(e2,
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15) = all_57_14 & op(e2, e3) = all_57_9 &
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_11 & op(e2, e1) = all_57_13 &
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_15 & op(e1, e2) = e1 & op(e1,
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_21 & $i(all_57_8) & $i(all_57_9) &
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & $i(all_57_11) & $i(all_57_12) &
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13) & $i(all_57_14) & $i(all_57_15) &
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21)
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8887) implies:
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8888) op(e1, e2) = e1
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (162), (8848), (8888), (function-axioms) are
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1480.
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8889) op(e0, e0) = all_57_31 & $i(all_57_31) &
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_23 = e1 & ~ (all_57_21 = e0) & ~
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) &
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_21 & op(e1, e0) = e1 &
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_25) = all_57_24 & op(e0,
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27) = all_57_26 & op(e0, all_57_29) =
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_28 & op(e0, all_57_31) = all_57_30 &
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_25 & op(e0, e2) =
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27 & op(e0, e1) = all_57_29 &
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_24) & $i(all_57_25)
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_26) & $i(all_57_27) &
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28) & $i(all_57_29) & $i(all_57_30))
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_25 = e0 & ~ (all_57_0 = e3) & ~
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e2) & ~ (all_57_4 = e1) & ~
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_6 = e0) & ~ (all_57_31 = e3) & op(e3,
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1) = all_57_0 & op(e3, all_57_3) =
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_2 & op(e3, all_57_5) = all_57_4 &
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, all_57_7) = all_57_6 & op(e3, e3) =
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e2) = all_57_3 & op(e3, e1)
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_5 & op(e3, e0) = all_57_7 & op(e0,
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e0 & $i(all_57_0) & $i(all_57_1) &
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_2) & $i(all_57_3) & $i(all_57_4) &
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_6) & $i(all_57_7)) |
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_27 = e0 & ~ (all_57_8 = e3) & ~
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e2) & ~ (all_57_12 = e1) & ~
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e0) & ~ (all_57_31 = e2) &
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_9) = all_57_8 & op(e2,
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_11) = all_57_10 & op(e2, all_57_13) =
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & op(e2, all_57_15) = all_57_14 &
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_9 & op(e2, e2) = all_57_11
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = all_57_13 & op(e2, e0) =
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15 & op(e0, e2) = e0 & $i(all_57_8) &
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9) & $i(all_57_10) & $i(all_57_11) &
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & $i(all_57_13) & $i(all_57_14)
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_15)) | (all_57_29 = e0 & ~
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_16 = e3) & ~ (all_57_18 = e2) & ~
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_22 = e0) & ~
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e1) & op(e1, all_57_17) =
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_16 & op(e1, all_57_19) = all_57_18 &
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_21) = all_57_20 & op(e1,
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23) = all_57_22 & op(e1, e3) =
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e1, e2) = all_57_19 & op(e1,
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_21 & op(e1, e0) = all_57_23 &
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_16) &
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_17) & $i(all_57_18) & $i(all_57_19)
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_20) & $i(all_57_21) &
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_23)))
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8889) implies:
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8890) op(e0, e0) = all_57_31
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8891) (all_57_23 = e1 & ~ (all_57_21 = e0) & ~
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) & op(e1,
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_21 & op(e1, e0) = e1 & op(e0,
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25) = all_57_24 & op(e0, all_57_27) =
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e0, all_57_29) = all_57_28 &
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_31) = all_57_30 & op(e0, e3) =
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_27 & op(e0, e1)
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_29 & $i(all_57_21) & $i(all_57_24) &
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_25) & $i(all_57_26) & $i(all_57_27) &
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28) & $i(all_57_29) & $i(all_57_30)) |
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_25 = e0 & ~ (all_57_0 = e3) & ~
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e2) & ~ (all_57_4 = e1) & ~
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_6 = e0) & ~ (all_57_31 = e3) & op(e3,
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1) = all_57_0 & op(e3, all_57_3) =
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_2 & op(e3, all_57_5) = all_57_4 & op(e3,
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7) = all_57_6 & op(e3, e3) = all_57_1 &
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_3 & op(e3, e1) = all_57_5 &
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_7 & op(e0, e3) = e0 &
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_0) & $i(all_57_1) & $i(all_57_2) &
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_3) & $i(all_57_4) & $i(all_57_5) &
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_6) & $i(all_57_7)) | (all_57_27 = e0 &
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_8 = e3) & ~ (all_57_10 = e2) & ~
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e1) & ~ (all_57_14 = e0) & ~
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e2) & op(e2, all_57_9) = all_57_8 &
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_11) = all_57_10 & op(e2,
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_13) = all_57_12 & op(e2, all_57_15) =
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_14 & op(e2, e3) = all_57_9 & op(e2, e2) =
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_11 & op(e2, e1) = all_57_13 & op(e2, e0)
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_15 & op(e0, e2) = e0 & $i(all_57_8) &
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9) & $i(all_57_10) & $i(all_57_11) &
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & $i(all_57_13) & $i(all_57_14) &
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15)) | (all_57_29 = e0 & ~ (all_57_16
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_18 = e2) & ~ (all_57_20 =
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_22 = e0) & ~ (all_57_31 =
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & op(e1, all_57_17) = all_57_16 & op(e1,
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_19) = all_57_18 & op(e1, all_57_21) =
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20 & op(e1, all_57_23) = all_57_22 &
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_17 & op(e1, e2) = all_57_19
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = all_57_21 & op(e1, e0) =
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23 & op(e0, e1) = e0 & $i(all_57_16) &
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_17) & $i(all_57_18) & $i(all_57_19) &
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_20) & $i(all_57_21) & $i(all_57_22) &
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23))
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (160), (7532), (8827), (8834), (8851),
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8890), (8891), (function-axioms) are inconsistent
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #727.
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | | | | | | (8892) all_54_10 = e0
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (335), (8892) imply:
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | | | | | | (8893) all_4_2 = e0
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (372), (8893) imply:
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | | | | | | (8894) $false
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (8894) is inconsistent.
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | | | | |
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | | | |
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | | | End of split
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | | |
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | | End of split
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | |
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | End of split
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | |
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | Case 2:
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | |
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | (8895) (all_57_11 = e1 & ~ (all_57_13 = e2) & ~
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | (all_57_16 = e3) & ~ (all_57_18 = e2) & ~
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_22 = e0) & op(e2,
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | e2) = e1 & op(e2, e1) = all_57_13 & op(e1,
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | all_57_17) = all_57_16 & op(e1, all_57_19) =
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | all_57_18 & op(e1, all_57_21) = all_57_20 &
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | op(e1, all_57_23) = all_57_22 & op(e1, e3) =
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e1, e2) = all_57_19 & op(e1, e1)
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | = all_57_21 & op(e1, e0) = all_57_23 &
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | $i(all_57_13) & $i(all_57_16) & $i(all_57_17) &
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_19) & $i(all_57_20) &
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_22) & $i(all_57_23)) |
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | (all_57_11 = e0 & ~ (all_57_15 = e2) & ~
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) & op(e2,
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | e2) = e0 & op(e2, e0) = all_57_15 & op(e0,
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | all_57_25) = all_57_24 & op(e0, all_57_27) =
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e0, all_57_29) = all_57_28 &
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | op(e0, all_57_31) = all_57_30 & op(e0, e3) =
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_27 & op(e0, e1)
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | = all_57_29 & op(e0, e0) = all_57_31 &
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & $i(all_57_24) & $i(all_57_25) &
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_27) & $i(all_57_28) &
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | $i(all_57_29) & $i(all_57_30) & $i(all_57_31)) |
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | (all_57_21 = e3 & ~ (all_57_0 = e3) & ~
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | (all_57_2 = e2) & ~ (all_57_4 = e1) & ~
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | (all_57_6 = e0) & ~ (all_57_17 = e1) & op(e3,
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | all_57_1) = all_57_0 & op(e3, all_57_3) =
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | all_57_2 & op(e3, all_57_5) = all_57_4 & op(e3,
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | all_57_7) = all_57_6 & op(e3, e3) = all_57_1 &
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_3 & op(e3, e1) = all_57_5 &
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_7 & op(e1, e3) = all_57_17 &
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e3 & $i(all_57_0) & $i(all_57_1) &
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | $i(all_57_2) & $i(all_57_3) & $i(all_57_4) &
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | $i(all_57_17)) | (all_57_21 = e2 & ~ (all_57_8
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_10 = e2) & ~ (all_57_12 =
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_14 = e0) & ~ (all_57_19 =
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | e1) & op(e2, all_57_9) = all_57_8 & op(e2,
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | all_57_11) = all_57_10 & op(e2, all_57_13) =
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | all_57_12 & op(e2, all_57_15) = all_57_14 &
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_9 & op(e2, e2) = all_57_11 &
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_57_13 & op(e2, e0) = all_57_15
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = all_57_19 & op(e1, e1) = e2 &
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | $i(all_57_8) & $i(all_57_9) & $i(all_57_10) &
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_12) & $i(all_57_13) &
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & $i(all_57_15) & $i(all_57_19)) |
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | (op(e0, e0) = all_57_31 & $i(all_57_31) &
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | ((all_57_21 = e0 & ~ (all_57_23 = e1) & ~
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) &
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = all_57_23 &
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | op(e0, all_57_25) = all_57_24 & op(e0,
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | all_57_27) = all_57_26 & op(e0, all_57_29)
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | = all_57_28 & op(e0, all_57_31) = all_57_30
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | & op(e0, e3) = all_57_25 & op(e0, e2) =
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | all_57_27 & op(e0, e1) = all_57_29 &
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | $i(all_57_23) & $i(all_57_24) &
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | $i(all_57_25) & $i(all_57_26) &
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | $i(all_57_27) & $i(all_57_28) &
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | $i(all_57_29) & $i(all_57_30)) | (all_57_31
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | = e3 & ~ (all_57_0 = e3) & ~ (all_57_2 =
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_4 = e1) & ~ (all_57_6 =
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_25 = e0) & op(e3,
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | all_57_1) = all_57_0 & op(e3, all_57_3) =
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | all_57_2 & op(e3, all_57_5) = all_57_4 &
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | op(e3, all_57_7) = all_57_6 & op(e3, e3) =
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e2) = all_57_3 & op(e3,
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | e1) = all_57_5 & op(e3, e0) = all_57_7 &
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_25 & $i(all_57_0) &
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_2) & $i(all_57_3) &
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | $i(all_57_4) & $i(all_57_5) & $i(all_57_6) &
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | $i(all_57_7) & $i(all_57_25)) | (all_57_31 =
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_8 = e3) & ~ (all_57_10 =
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_12 = e1) & ~ (all_57_14
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_27 = e0) & op(e2,
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | all_57_9) = all_57_8 & op(e2, all_57_11) =
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e2, all_57_13) = all_57_12 &
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | op(e2, all_57_15) = all_57_14 & op(e2, e3) =
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | all_57_9 & op(e2, e2) = all_57_11 & op(e2,
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | e1) = all_57_13 & op(e2, e0) = all_57_15 &
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_27 & $i(all_57_8) &
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | $i(all_57_9) & $i(all_57_10) & $i(all_57_11)
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | & $i(all_57_12) & $i(all_57_13) &
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & $i(all_57_15) &
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | $i(all_57_27)) | (all_57_31 = e1 & ~
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | (all_57_16 = e3) & ~ (all_57_18 = e2) & ~
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_22 = e0) & ~
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | (all_57_29 = e0) & op(e1, all_57_17) =
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | all_57_16 & op(e1, all_57_19) = all_57_18 &
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | op(e1, all_57_21) = all_57_20 & op(e1,
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | all_57_23) = all_57_22 & op(e1, e3) =
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e1, e2) = all_57_19 & op(e1,
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | e1) = all_57_21 & op(e1, e0) = all_57_23 &
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | op(e0, e1) = all_57_29 & $i(all_57_16) &
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | $i(all_57_17) & $i(all_57_18) &
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_20) &
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_22) &
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | $i(all_57_23) & $i(all_57_29))))
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | |
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | BETA: splitting (8895) gives:
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | |
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | Case 1:
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | |
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | | (8896) (all_57_11 = e1 & ~ (all_57_13 = e2) & ~
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | | (all_57_16 = e3) & ~ (all_57_18 = e2) & ~
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_22 = e0) & op(e2,
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | | e2) = e1 & op(e2, e1) = all_57_13 & op(e1,
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | | all_57_17) = all_57_16 & op(e1, all_57_19) =
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | | all_57_18 & op(e1, all_57_21) = all_57_20 &
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_23) = all_57_22 & op(e1, e3) =
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e1, e2) = all_57_19 & op(e1, e1)
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | | = all_57_21 & op(e1, e0) = all_57_23 &
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | | $i(all_57_13) & $i(all_57_16) & $i(all_57_17) &
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_19) & $i(all_57_20) &
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_22) & $i(all_57_23)) |
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e0 & ~ (all_57_15 = e2) & ~
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) & op(e2,
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | | e2) = e0 & op(e2, e0) = all_57_15 & op(e0,
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | | all_57_25) = all_57_24 & op(e0, all_57_27) =
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e0, all_57_29) = all_57_28 &
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_31) = all_57_30 & op(e0, e3) =
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_27 & op(e0, e1)
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | | = all_57_29 & op(e0, e0) = all_57_31 &
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & $i(all_57_24) & $i(all_57_25) &
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_27) & $i(all_57_28) &
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | | $i(all_57_29) & $i(all_57_30) & $i(all_57_31))
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | |
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8), (8340), (8896), (function-axioms) are
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1200.
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | |
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | Case 2:
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | |
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | | (8897) (all_57_21 = e3 & ~ (all_57_0 = e3) & ~
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e2) & ~ (all_57_4 = e1) & ~
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | | (all_57_6 = e0) & ~ (all_57_17 = e1) & op(e3,
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | | all_57_1) = all_57_0 & op(e3, all_57_3) =
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | | all_57_2 & op(e3, all_57_5) = all_57_4 & op(e3,
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | | all_57_7) = all_57_6 & op(e3, e3) = all_57_1 &
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_3 & op(e3, e1) = all_57_5 &
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_7 & op(e1, e3) = all_57_17 &
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e3 & $i(all_57_0) & $i(all_57_1) &
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | | $i(all_57_2) & $i(all_57_3) & $i(all_57_4) &
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | | $i(all_57_17)) | (all_57_21 = e2 & ~ (all_57_8
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_10 = e2) & ~ (all_57_12 =
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_14 = e0) & ~ (all_57_19 =
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | | e1) & op(e2, all_57_9) = all_57_8 & op(e2,
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | | all_57_11) = all_57_10 & op(e2, all_57_13) =
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | | all_57_12 & op(e2, all_57_15) = all_57_14 &
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_9 & op(e2, e2) = all_57_11 &
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_57_13 & op(e2, e0) = all_57_15
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = all_57_19 & op(e1, e1) = e2 &
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | | $i(all_57_8) & $i(all_57_9) & $i(all_57_10) &
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_12) & $i(all_57_13) &
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & $i(all_57_15) & $i(all_57_19)) |
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | | (op(e0, e0) = all_57_31 & $i(all_57_31) &
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | | ((all_57_21 = e0 & ~ (all_57_23 = e1) & ~
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) &
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = all_57_23 &
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_25) = all_57_24 & op(e0,
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | | all_57_27) = all_57_26 & op(e0, all_57_29)
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | | = all_57_28 & op(e0, all_57_31) = all_57_30
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | | & op(e0, e3) = all_57_25 & op(e0, e2) =
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | | all_57_27 & op(e0, e1) = all_57_29 &
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | | $i(all_57_23) & $i(all_57_24) &
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | | $i(all_57_25) & $i(all_57_26) &
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | | $i(all_57_27) & $i(all_57_28) &
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | | $i(all_57_29) & $i(all_57_30)) | (all_57_31
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | | = e3 & ~ (all_57_0 = e3) & ~ (all_57_2 =
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_4 = e1) & ~ (all_57_6 =
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_25 = e0) & op(e3,
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | | all_57_1) = all_57_0 & op(e3, all_57_3) =
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | | all_57_2 & op(e3, all_57_5) = all_57_4 &
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | | op(e3, all_57_7) = all_57_6 & op(e3, e3) =
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e2) = all_57_3 & op(e3,
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | | e1) = all_57_5 & op(e3, e0) = all_57_7 &
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_25 & $i(all_57_0) &
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_2) & $i(all_57_3) &
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | | $i(all_57_4) & $i(all_57_5) & $i(all_57_6) &
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | | $i(all_57_7) & $i(all_57_25)) | (all_57_31 =
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_8 = e3) & ~ (all_57_10 =
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_12 = e1) & ~ (all_57_14
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_27 = e0) & op(e2,
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | | all_57_9) = all_57_8 & op(e2, all_57_11) =
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e2, all_57_13) = all_57_12 &
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_15) = all_57_14 & op(e2, e3) =
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | | all_57_9 & op(e2, e2) = all_57_11 & op(e2,
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | | e1) = all_57_13 & op(e2, e0) = all_57_15 &
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_27 & $i(all_57_8) &
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | | $i(all_57_9) & $i(all_57_10) & $i(all_57_11)
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | | & $i(all_57_12) & $i(all_57_13) &
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & $i(all_57_15) &
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | | $i(all_57_27)) | (all_57_31 = e1 & ~
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | | (all_57_16 = e3) & ~ (all_57_18 = e2) & ~
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_22 = e0) & ~
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | | (all_57_29 = e0) & op(e1, all_57_17) =
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | | all_57_16 & op(e1, all_57_19) = all_57_18 &
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_21) = all_57_20 & op(e1,
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | | all_57_23) = all_57_22 & op(e1, e3) =
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e1, e2) = all_57_19 & op(e1,
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | | e1) = all_57_21 & op(e1, e0) = all_57_23 &
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = all_57_29 & $i(all_57_16) &
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | | $i(all_57_17) & $i(all_57_18) &
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_20) &
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_22) &
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | | $i(all_57_23) & $i(all_57_29))))
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | |
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8897) gives:
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | |
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | | |
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | | | (8898) all_57_21 = e3 & ~ (all_57_0 = e3) & ~ (all_57_2
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | | | = e2) & ~ (all_57_4 = e1) & ~ (all_57_6 = e0)
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_17 = e1) & op(e3, all_57_1) =
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | | | all_57_0 & op(e3, all_57_3) = all_57_2 & op(e3,
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | | | all_57_5) = all_57_4 & op(e3, all_57_7) =
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | | | all_57_6 & op(e3, e3) = all_57_1 & op(e3, e2) =
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | | | all_57_3 & op(e3, e1) = all_57_5 & op(e3, e0) =
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | | | all_57_7 & op(e1, e3) = all_57_17 & op(e1, e1) =
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | | | e3 & $i(all_57_0) & $i(all_57_1) & $i(all_57_2) &
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_3) & $i(all_57_4) & $i(all_57_5) &
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_6) & $i(all_57_7) & $i(all_57_17)
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | | |
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8898) implies:
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | | | (8899) op(e1, e1) = e3
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | | |
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (194), (335), (372), (375), (8803), (8899),
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | | | #736.
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | | |
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 198.52/31.71 | | | | | | | | | | | | | | | | | | | | | |
% 198.52/31.72 | | | | | | | | | | | | | | | | | | | | | | (8900) (all_57_21 = e2 & ~ (all_57_8 = e3) & ~
% 198.52/31.72 | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e2) & ~ (all_57_12 = e1) & ~
% 198.52/31.72 | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e0) & ~ (all_57_19 = e1) & op(e2,
% 198.52/31.72 | | | | | | | | | | | | | | | | | | | | | | all_57_9) = all_57_8 & op(e2, all_57_11) =
% 198.52/31.72 | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e2, all_57_13) = all_57_12 &
% 198.52/31.72 | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_15) = all_57_14 & op(e2, e3) =
% 198.52/31.72 | | | | | | | | | | | | | | | | | | | | | | all_57_9 & op(e2, e2) = all_57_11 & op(e2, e1) =
% 198.52/31.72 | | | | | | | | | | | | | | | | | | | | | | all_57_13 & op(e2, e0) = all_57_15 & op(e1, e2)
% 198.52/31.72 | | | | | | | | | | | | | | | | | | | | | | = all_57_19 & op(e1, e1) = e2 & $i(all_57_8) &
% 198.52/31.72 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9) & $i(all_57_10) & $i(all_57_11) &
% 198.52/31.72 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & $i(all_57_13) & $i(all_57_14) &
% 198.52/31.72 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & $i(all_57_19)) | (op(e0, e0) =
% 198.52/31.72 | | | | | | | | | | | | | | | | | | | | | | all_57_31 & $i(all_57_31) & ((all_57_21 = e0 &
% 198.52/31.72 | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_23 = e1) & ~ (all_57_24 = e3) &
% 198.52/31.72 | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_26 = e2) & ~ (all_57_28 = e1) &
% 198.52/31.72 | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_30 = e0) & op(e1, e1) = e0 &
% 198.52/31.72 | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_23 & op(e0, all_57_25) =
% 198.52/31.72 | | | | | | | | | | | | | | | | | | | | | | all_57_24 & op(e0, all_57_27) = all_57_26 &
% 198.52/31.72 | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_29) = all_57_28 & op(e0,
% 198.52/31.72 | | | | | | | | | | | | | | | | | | | | | | all_57_31) = all_57_30 & op(e0, e3) =
% 198.52/31.72 | | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_27 & op(e0,
% 198.52/31.72 | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_29 & $i(all_57_23) &
% 198.52/31.72 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_24) & $i(all_57_25) &
% 198.52/31.72 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_27) &
% 198.52/31.72 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28) & $i(all_57_29) &
% 198.52/31.72 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_31 = e3 & ~
% 198.52/31.72 | | | | | | | | | | | | | | | | | | | | | | (all_57_0 = e3) & ~ (all_57_2 = e2) & ~
% 198.52/31.72 | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1) & ~ (all_57_6 = e0) & ~
% 198.52/31.72 | | | | | | | | | | | | | | | | | | | | | | (all_57_25 = e0) & op(e3, all_57_1) =
% 198.52/31.72 | | | | | | | | | | | | | | | | | | | | | | all_57_0 & op(e3, all_57_3) = all_57_2 &
% 198.52/31.72 | | | | | | | | | | | | | | | | | | | | | | op(e3, all_57_5) = all_57_4 & op(e3,
% 198.52/31.72 | | | | | | | | | | | | | | | | | | | | | | all_57_7) = all_57_6 & op(e3, e3) =
% 198.52/31.72 | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e2) = all_57_3 & op(e3,
% 198.52/31.72 | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_5 & op(e3, e0) = all_57_7 &
% 198.52/31.72 | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_25 & $i(all_57_0) &
% 198.52/31.72 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_2) & $i(all_57_3) &
% 198.52/31.72 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4) & $i(all_57_5) & $i(all_57_6) &
% 198.52/31.72 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7) & $i(all_57_25)) | (all_57_31 =
% 198.52/31.72 | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_8 = e3) & ~ (all_57_10 =
% 198.52/31.72 | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_12 = e1) & ~ (all_57_14
% 198.52/31.72 | | | | | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_27 = e0) & op(e2,
% 198.52/31.72 | | | | | | | | | | | | | | | | | | | | | | all_57_9) = all_57_8 & op(e2, all_57_11) =
% 198.52/31.72 | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e2, all_57_13) = all_57_12 &
% 198.52/31.72 | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_15) = all_57_14 & op(e2, e3) =
% 198.52/31.72 | | | | | | | | | | | | | | | | | | | | | | all_57_9 & op(e2, e2) = all_57_11 & op(e2,
% 198.52/31.72 | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_13 & op(e2, e0) = all_57_15 &
% 198.52/31.72 | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_27 & $i(all_57_8) &
% 198.52/31.72 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9) & $i(all_57_10) & $i(all_57_11)
% 198.52/31.72 | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_12) & $i(all_57_13) &
% 198.52/31.72 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & $i(all_57_15) &
% 198.52/31.72 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27)) | (all_57_31 = e1 & ~
% 198.52/31.72 | | | | | | | | | | | | | | | | | | | | | | (all_57_16 = e3) & ~ (all_57_18 = e2) & ~
% 198.52/31.72 | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_22 = e0) & ~
% 198.52/31.72 | | | | | | | | | | | | | | | | | | | | | | (all_57_29 = e0) & op(e1, all_57_17) =
% 198.52/31.72 | | | | | | | | | | | | | | | | | | | | | | all_57_16 & op(e1, all_57_19) = all_57_18 &
% 198.52/31.72 | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_21) = all_57_20 & op(e1,
% 198.52/31.72 | | | | | | | | | | | | | | | | | | | | | | all_57_23) = all_57_22 & op(e1, e3) =
% 198.52/31.72 | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e1, e2) = all_57_19 & op(e1,
% 198.52/31.72 | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_21 & op(e1, e0) = all_57_23 &
% 198.52/31.72 | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = all_57_29 & $i(all_57_16) &
% 198.52/31.72 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_17) & $i(all_57_18) &
% 198.52/31.72 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_20) &
% 198.52/31.72 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_22) &
% 198.52/31.72 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23) & $i(all_57_29))))
% 198.52/31.72 | | | | | | | | | | | | | | | | | | | | | |
% 198.52/31.72 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8900) gives:
% 198.52/31.72 | | | | | | | | | | | | | | | | | | | | | |
% 198.52/31.72 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 198.52/31.72 | | | | | | | | | | | | | | | | | | | | | | |
% 198.52/31.72 | | | | | | | | | | | | | | | | | | | | | | | (8901) all_57_21 = e2 & ~ (all_57_8 = e3) & ~
% 198.52/31.72 | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e2) & ~ (all_57_12 = e1) & ~
% 198.52/31.72 | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e0) & ~ (all_57_19 = e1) & op(e2,
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | all_57_9) = all_57_8 & op(e2, all_57_11) =
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e2, all_57_13) = all_57_12 & op(e2,
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | all_57_15) = all_57_14 & op(e2, e3) = all_57_9 &
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_11 & op(e2, e1) = all_57_13 &
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_15 & op(e1, e2) = all_57_19 &
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e2 & $i(all_57_8) & $i(all_57_9) &
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & $i(all_57_11) & $i(all_57_12) &
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13) & $i(all_57_14) & $i(all_57_15) &
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19)
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8901) implies:
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | (8902) op(e1, e1) = e2
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (194) gives:
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | | (8903) all_54_10 = e3
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (335), (8903) imply:
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | | (8904) all_4_2 = e3
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8803), (8904) imply:
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | | (8905) $false
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (8905) is inconsistent.
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | | (8906) all_54_10 = e2 | all_54_10 = e1 | all_54_10 = e0
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (335), (372), (375), (8902), (8906),
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | | #1881.
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | (8907) op(e0, e0) = all_57_31 & $i(all_57_31) &
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | ((all_57_21 = e0 & ~ (all_57_23 = e1) & ~
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) &
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = all_57_23 &
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_25) = all_57_24 & op(e0,
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | all_57_27) = all_57_26 & op(e0, all_57_29) =
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | all_57_28 & op(e0, all_57_31) = all_57_30 &
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_25 & op(e0, e2) =
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | all_57_27 & op(e0, e1) = all_57_29 &
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23) & $i(all_57_24) & $i(all_57_25)
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_26) & $i(all_57_27) &
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28) & $i(all_57_29) & $i(all_57_30))
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e3 & ~ (all_57_0 = e3) & ~
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e2) & ~ (all_57_4 = e1) & ~
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | (all_57_6 = e0) & ~ (all_57_25 = e0) & op(e3,
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | all_57_1) = all_57_0 & op(e3, all_57_3) =
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | all_57_2 & op(e3, all_57_5) = all_57_4 &
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | op(e3, all_57_7) = all_57_6 & op(e3, e3) =
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e2) = all_57_3 & op(e3, e1)
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | = all_57_5 & op(e3, e0) = all_57_7 & op(e0,
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_25 & $i(all_57_0) &
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_2) & $i(all_57_3) &
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4) & $i(all_57_5) & $i(all_57_6) &
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7) & $i(all_57_25)) | (all_57_31 =
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_8 = e3) & ~ (all_57_10 = e2)
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_12 = e1) & ~ (all_57_14 = e0) &
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_27 = e0) & op(e2, all_57_9) =
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | all_57_8 & op(e2, all_57_11) = all_57_10 &
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_13) = all_57_12 & op(e2,
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | all_57_15) = all_57_14 & op(e2, e3) =
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | all_57_9 & op(e2, e2) = all_57_11 & op(e2, e1)
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | = all_57_13 & op(e2, e0) = all_57_15 & op(e0,
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_27 & $i(all_57_8) &
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9) & $i(all_57_10) & $i(all_57_11) &
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & $i(all_57_13) & $i(all_57_14)
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_15) & $i(all_57_27)) | (all_57_31
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_16 = e3) & ~ (all_57_18 =
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_20 = e1) & ~ (all_57_22 =
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_29 = e0) & op(e1,
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | all_57_17) = all_57_16 & op(e1, all_57_19) =
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | all_57_18 & op(e1, all_57_21) = all_57_20 &
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_23) = all_57_22 & op(e1, e3) =
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e1, e2) = all_57_19 & op(e1,
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_21 & op(e1, e0) = all_57_23 &
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = all_57_29 & $i(all_57_16) &
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_17) & $i(all_57_18) & $i(all_57_19)
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_20) & $i(all_57_21) &
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_23) &
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29)))
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8907) implies:
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | (8908) op(e0, e0) = all_57_31
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | (8909) (all_57_21 = e0 & ~ (all_57_23 = e1) & ~
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) & op(e1,
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | e1) = e0 & op(e1, e0) = all_57_23 & op(e0,
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | all_57_25) = all_57_24 & op(e0, all_57_27) =
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e0, all_57_29) = all_57_28 &
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_31) = all_57_30 & op(e0, e3) =
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_27 & op(e0, e1)
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | = all_57_29 & $i(all_57_23) & $i(all_57_24) &
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_25) & $i(all_57_26) & $i(all_57_27) &
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28) & $i(all_57_29) & $i(all_57_30)) |
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e3 & ~ (all_57_0 = e3) & ~
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e2) & ~ (all_57_4 = e1) & ~
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | (all_57_6 = e0) & ~ (all_57_25 = e0) & op(e3,
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | all_57_1) = all_57_0 & op(e3, all_57_3) =
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | all_57_2 & op(e3, all_57_5) = all_57_4 & op(e3,
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | all_57_7) = all_57_6 & op(e3, e3) = all_57_1 &
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_3 & op(e3, e1) = all_57_5 &
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_7 & op(e0, e3) = all_57_25 &
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_0) & $i(all_57_1) & $i(all_57_2) &
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_3) & $i(all_57_4) & $i(all_57_5) &
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_6) & $i(all_57_7) & $i(all_57_25)) |
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e2 & ~ (all_57_8 = e3) & ~
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e2) & ~ (all_57_12 = e1) & ~
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e0) & ~ (all_57_27 = e0) & op(e2,
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | all_57_9) = all_57_8 & op(e2, all_57_11) =
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e2, all_57_13) = all_57_12 &
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_15) = all_57_14 & op(e2, e3) =
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | all_57_9 & op(e2, e2) = all_57_11 & op(e2, e1) =
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | all_57_13 & op(e2, e0) = all_57_15 & op(e0, e2)
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | = all_57_27 & $i(all_57_8) & $i(all_57_9) &
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & $i(all_57_11) & $i(all_57_12) &
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13) & $i(all_57_14) & $i(all_57_15) &
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27)) | (all_57_31 = e1 & ~ (all_57_16
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_18 = e2) & ~ (all_57_20 =
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_22 = e0) & ~ (all_57_29 =
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | e0) & op(e1, all_57_17) = all_57_16 & op(e1,
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | all_57_19) = all_57_18 & op(e1, all_57_21) =
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | all_57_20 & op(e1, all_57_23) = all_57_22 &
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_17 & op(e1, e2) = all_57_19
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = all_57_21 & op(e1, e0) =
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | all_57_23 & op(e0, e1) = all_57_29 &
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_16) & $i(all_57_17) & $i(all_57_18) &
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_20) & $i(all_57_21) &
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_23) & $i(all_57_29))
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (194) gives:
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | | (8910) all_54_10 = e3
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (335), (8803), (8910) are inconsistent by
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1974.
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | | (8911) ~ (all_54_10 = e3)
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | | (8912) all_54_10 = e2 | all_54_10 = e1 | all_54_10 = e0
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8912) gives:
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | | | (8913) all_54_10 = e2
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (335), (375), (8913) are inconsistent by sub-proof
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | | | #1973.
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | | | (8914) ~ (all_54_10 = e2)
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | | | (8915) all_54_10 = e1 | all_54_10 = e0
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8915) gives:
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | | | | (8916) all_54_10 = e1
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (335), (8916) imply:
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | | | | (8917) all_4_2 = e1
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (8917) implies:
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | | | | (8918) all_4_2 = e1
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (367), (8918) imply:
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | | | | (8919) ~ (all_52_14 = e1)
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8803), (8918) imply:
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | | | | (8920) ~ (e3 = e1)
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (36), (8918) imply:
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | | | | (8921) op(e1, e1) = e1
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (226) gives:
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | (8922) (all_56_1 = e1 & op(e3, e2) = e1) | (all_56_3 = e1
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1)
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (230), (234), (236),
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | (8340), (8778), (8787), (8922), (function-axioms)
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #733.
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | (8923) (all_56_7 = e1 & op(e1, e2) = e1) | (all_56_13 =
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e2) = e1)
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8923) gives:
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8924) all_56_7 = e1 & op(e1, e2) = e1
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8924) implies:
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8925) all_56_7 = e1
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (9), (213), (215), (8782),
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8921), (8925), (function-axioms) are inconsistent
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #732.
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8926) all_56_13 = e1 & op(e0, e2) = e1
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (222) gives:
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8927) (all_56_2 = e1 & op(e2, e3) = e1) | (all_56_3 = e1
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1)
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (229), (233), (235),
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8340), (8778), (8782), (8927), (function-axioms)
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #731.
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8928) (all_56_5 = e1 & op(e2, e1) = e1) | (all_56_10 =
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e2, e0) = e1)
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8928) gives:
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8929) all_56_5 = e1 & op(e2, e1) = e1
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8929) implies:
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8930) all_56_5 = e1
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (9), (217), (219), (8787),
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8921), (8930), (function-axioms) are inconsistent
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1159.
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8931) all_56_10 = e1 & op(e2, e0) = e1
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8909) gives:
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8932) (all_57_21 = e0 & ~ (all_57_23 = e1) & ~
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) & op(e1,
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0 & op(e1, e0) = all_57_23 & op(e0,
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25) = all_57_24 & op(e0, all_57_27) =
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e0, all_57_29) = all_57_28 &
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_31) = all_57_30 & op(e0, e3) =
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_27 & op(e0, e1)
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_29 & $i(all_57_23) & $i(all_57_24) &
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_25) & $i(all_57_26) & $i(all_57_27) &
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28) & $i(all_57_29) & $i(all_57_30)) |
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e3 & ~ (all_57_0 = e3) & ~
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e2) & ~ (all_57_4 = e1) & ~
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_6 = e0) & ~ (all_57_25 = e0) & op(e3,
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1) = all_57_0 & op(e3, all_57_3) =
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_2 & op(e3, all_57_5) = all_57_4 & op(e3,
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7) = all_57_6 & op(e3, e3) = all_57_1 &
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_3 & op(e3, e1) = all_57_5 &
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_7 & op(e0, e3) = all_57_25 &
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_0) & $i(all_57_1) & $i(all_57_2) &
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_3) & $i(all_57_4) & $i(all_57_5) &
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_6) & $i(all_57_7) & $i(all_57_25))
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8932) gives:
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8933) all_57_21 = e0 & ~ (all_57_23 = e1) & ~
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) & op(e1,
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0 & op(e1, e0) = all_57_23 & op(e0,
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25) = all_57_24 & op(e0, all_57_27) =
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e0, all_57_29) = all_57_28 & op(e0,
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_31) = all_57_30 & op(e0, e3) = all_57_25
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e2) = all_57_27 & op(e0, e1) = all_57_29
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_23) & $i(all_57_24) & $i(all_57_25) &
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_27) & $i(all_57_28) &
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29) & $i(all_57_30)
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8933) implies:
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8934) op(e1, e1) = e0
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (8921), (8934), (function-axioms) are
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1956.
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8935) all_57_31 = e3 & ~ (all_57_0 = e3) & ~ (all_57_2
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2) & ~ (all_57_4 = e1) & ~ (all_57_6 = e0)
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_25 = e0) & op(e3, all_57_1) =
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_0 & op(e3, all_57_3) = all_57_2 & op(e3,
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_5) = all_57_4 & op(e3, all_57_7) =
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_6 & op(e3, e3) = all_57_1 & op(e3, e2) =
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 & op(e3, e1) = all_57_5 & op(e3, e0) =
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7 & op(e0, e3) = all_57_25 & $i(all_57_0) &
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_2) & $i(all_57_3) &
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4) & $i(all_57_5) & $i(all_57_6) &
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7) & $i(all_57_25)
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8935) implies:
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8936) all_57_31 = e3
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8937) ~ (all_57_25 = e0)
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8938) op(e0, e3) = all_57_25
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8939) op(e3, e3) = all_57_1
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (214) gives:
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8940) (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_7 = e1
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e1)
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8940) gives:
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8941) all_56_6 = e1 & op(e1, e3) = e1
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8941) implies:
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8942) op(e1, e3) = e1
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (163), (8775), (8792), (8942), (function-axioms)
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1750.
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8943) all_56_7 = e1 & op(e1, e2) = e1
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8943) implies:
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8944) all_56_7 = e1
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (9), (213), (215), (8782),
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8921), (8944), (function-axioms) are inconsistent
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #732.
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8945) (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_11 =
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e1, e0) = e1)
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8945) gives:
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8946) all_56_8 = e1 & op(e1, e1) = e1
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8926) implies:
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8947) all_56_13 = e1
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8948) op(e0, e2) = e1
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8931) implies:
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8949) op(e2, e0) = e1
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_7, e1,
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2, e0, simplifying with (158), (8948) gives:
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8950) all_52_7 = e1
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_3,
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25, e3, e0, simplifying with (159), (8938)
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8951) all_57_25 = all_52_3
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_13,
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1, e0, e2, simplifying with (164), (8949) gives:
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8952) all_52_13 = e1
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e1, all_57_1,
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3, e3, simplifying with (8778), (8939) gives:
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8953) all_57_1 = e1
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8937), (8951) imply:
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8954) ~ (all_52_3 = e0)
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (145), (8952) imply:
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8955) ~ (all_52_1 = e1)
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (140), (8950) imply:
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8956) ~ (all_52_3 = e1)
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (128), (8950) imply:
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8957) ~ (all_52_6 = e1)
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (117), (8952) imply:
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8958) ~ (all_52_9 = e1)
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (110), (8952) imply:
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8959) ~ (all_52_14 = e1)
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (192) gives:
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8960) all_54_12 = e3
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (249), (7526), (8960) are inconsistent by
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1227.
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8961) ~ (all_54_12 = e3)
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8962) all_54_12 = e2 | all_54_12 = e1 | all_54_12 = e0
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8962) gives:
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8963) all_54_12 = e2
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (249), (8963) imply:
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8964) all_52_3 = e2
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (8964) implies:
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8965) all_52_3 = e2
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (148), (8965) imply:
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8966) ~ (all_52_1 = e2)
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (139), (8965) imply:
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8967) ~ (all_52_11 = e2)
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (8967) implies:
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8968) ~ (all_52_11 = e2)
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7526), (8965) imply:
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8969) ~ (e3 = e2)
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (159), (8965) imply:
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8970) op(e0, e3) = e2
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (200) gives:
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8971) all_54_4 = e3
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (269), (8971) imply:
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8972) all_52_1 = e3
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8336), (8972) imply:
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8973) $false
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (8973) is inconsistent.
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8974) all_54_4 = e2 | all_54_4 = e1 | all_54_4 = e0
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (219) gives:
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8975) (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e2)
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8975) gives:
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8976) all_56_4 = e2 & op(e3, e1) = e2
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (8787), (8976) are inconsistent by sub-proof
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1163.
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8977) all_56_5 = e2 & op(e2, e1) = e2
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8977) implies:
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8978) all_56_5 = e2
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (238) gives:
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8979) (all_57_3 = e3 & ~ (all_57_1 = e2) & ~ (all_57_8
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_10 = e2) & ~ (all_57_12 =
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_14 = e0) & op(e3, e3) =
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e2) = e3 & op(e2, all_57_9) =
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_8 & op(e2, all_57_11) = all_57_10 &
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_13) = all_57_12 & op(e2,
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15) = all_57_14 & op(e2, e3) = all_57_9
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = all_57_11 & op(e2, e1) =
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_13 & op(e2, e0) = all_57_15 &
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_8) & $i(all_57_9) &
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & $i(all_57_11) & $i(all_57_12) &
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13) & $i(all_57_14) & $i(all_57_15)) |
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_5 = e3 & ~ (all_57_1 = e1) & ~
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_16 = e3) & ~ (all_57_18 = e2) & ~
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_22 = e0) & op(e3,
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_1 & op(e3, e1) = e3 & op(e1,
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17) = all_57_16 & op(e1, all_57_19) =
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_18 & op(e1, all_57_21) = all_57_20 &
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_23) = all_57_22 & op(e1, e3) =
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e1, e2) = all_57_19 & op(e1, e1)
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_21 & op(e1, e0) = all_57_23 &
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_16) & $i(all_57_17) &
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_19) & $i(all_57_20) &
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_22) & $i(all_57_23)) |
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_7 = e3 & ~ (all_57_1 = e0) & ~
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) & op(e3,
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_1 & op(e3, e0) = e3 & op(e0,
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25) = all_57_24 & op(e0, all_57_27) =
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e0, all_57_29) = all_57_28 &
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_31) = all_57_30 & op(e0, e3) =
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_27 & op(e0, e1)
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_29 & op(e0, e0) = all_57_31 &
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_24) & $i(all_57_25) &
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_27) & $i(all_57_28) &
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29) & $i(all_57_30) & $i(all_57_31)) |
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e2 & ~ (all_57_0 = e3) & ~ (all_57_2
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2) & ~ (all_57_4 = e1) & ~ (all_57_6 =
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_11 = e3) & op(e3, all_57_1) =
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_0 & op(e3, all_57_3) = all_57_2 & op(e3,
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_5) = all_57_4 & op(e3, all_57_7) =
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_6 & op(e3, e3) = all_57_1 & op(e3, e2) =
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 & op(e3, e1) = all_57_5 & op(e3, e0) =
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7 & op(e2, e3) = e2 & op(e2, e2) =
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_11 & $i(all_57_0) & $i(all_57_1) &
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_2) & $i(all_57_3) & $i(all_57_4) &
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11))
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8979) gives:
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8980) (all_57_3 = e3 & ~ (all_57_1 = e2) & ~ (all_57_8
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_10 = e2) & ~ (all_57_12 =
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_14 = e0) & op(e3, e3) =
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e2) = e3 & op(e2, all_57_9) =
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_8 & op(e2, all_57_11) = all_57_10 &
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_13) = all_57_12 & op(e2,
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15) = all_57_14 & op(e2, e3) = all_57_9
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = all_57_11 & op(e2, e1) =
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_13 & op(e2, e0) = all_57_15 &
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_8) & $i(all_57_9) &
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & $i(all_57_11) & $i(all_57_12) &
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13) & $i(all_57_14) & $i(all_57_15)) |
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_5 = e3 & ~ (all_57_1 = e1) & ~
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_16 = e3) & ~ (all_57_18 = e2) & ~
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_22 = e0) & op(e3,
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_1 & op(e3, e1) = e3 & op(e1,
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17) = all_57_16 & op(e1, all_57_19) =
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_18 & op(e1, all_57_21) = all_57_20 &
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_23) = all_57_22 & op(e1, e3) =
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e1, e2) = all_57_19 & op(e1, e1)
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_21 & op(e1, e0) = all_57_23 &
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_16) & $i(all_57_17) &
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_19) & $i(all_57_20) &
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_22) & $i(all_57_23))
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (170), (8337), (8778), (8980), (function-axioms)
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1606.
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8981) (all_57_7 = e3 & ~ (all_57_1 = e0) & ~
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) & op(e3,
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_1 & op(e3, e0) = e3 & op(e0,
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25) = all_57_24 & op(e0, all_57_27) =
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e0, all_57_29) = all_57_28 &
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_31) = all_57_30 & op(e0, e3) =
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_27 & op(e0, e1)
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_29 & op(e0, e0) = all_57_31 &
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_24) & $i(all_57_25) &
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_27) & $i(all_57_28) &
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29) & $i(all_57_30) & $i(all_57_31)) |
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e2 & ~ (all_57_0 = e3) & ~ (all_57_2
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2) & ~ (all_57_4 = e1) & ~ (all_57_6 =
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_11 = e3) & op(e3, all_57_1) =
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_0 & op(e3, all_57_3) = all_57_2 & op(e3,
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_5) = all_57_4 & op(e3, all_57_7) =
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_6 & op(e3, e3) = all_57_1 & op(e3, e2) =
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 & op(e3, e1) = all_57_5 & op(e3, e0) =
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7 & op(e2, e3) = e2 & op(e2, e2) =
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_11 & $i(all_57_0) & $i(all_57_1) &
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_2) & $i(all_57_3) & $i(all_57_4) &
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11))
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (167), (168), (7529), (8966), (8981),
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1927.
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 198.57/31.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8982) (all_57_13 = e2 & ~ (all_57_11 = e1) & ~
% 198.57/31.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_16 = e3) & ~ (all_57_18 = e2) & ~
% 198.57/31.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_22 = e0) & op(e2,
% 198.57/31.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_11 & op(e2, e1) = e2 & op(e1,
% 198.57/31.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17) = all_57_16 & op(e1, all_57_19) =
% 198.57/31.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_18 & op(e1, all_57_21) = all_57_20 &
% 198.57/31.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_23) = all_57_22 & op(e1, e3) =
% 198.57/31.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e1, e2) = all_57_19 & op(e1, e1)
% 198.57/31.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_21 & op(e1, e0) = all_57_23 &
% 198.57/31.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_16) & $i(all_57_17) &
% 198.57/31.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_19) & $i(all_57_20) &
% 198.57/31.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_22) & $i(all_57_23)) |
% 198.57/31.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e2 & ~ (all_57_11 = e0) & ~
% 198.57/31.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 198.57/31.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) & op(e2,
% 198.57/31.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_11 & op(e2, e0) = e2 & op(e0,
% 198.57/31.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25) = all_57_24 & op(e0, all_57_27) =
% 198.57/31.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e0, all_57_29) = all_57_28 &
% 198.57/31.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_31) = all_57_30 & op(e0, e3) =
% 198.57/31.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_27 & op(e0, e1)
% 198.57/31.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_29 & op(e0, e0) = all_57_31 &
% 198.57/31.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_24) & $i(all_57_25) &
% 198.57/31.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_27) & $i(all_57_28) &
% 198.57/31.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29) & $i(all_57_30) & $i(all_57_31)) |
% 198.57/31.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_17 = e1 & ~ (all_57_0 = e3) & ~
% 198.57/31.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e2) & ~ (all_57_4 = e1) & ~
% 198.57/31.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_6 = e0) & ~ (all_57_21 = e3) & op(e3,
% 198.57/31.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1) = all_57_0 & op(e3, all_57_3) =
% 198.57/31.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_2 & op(e3, all_57_5) = all_57_4 & op(e3,
% 198.57/31.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7) = all_57_6 & op(e3, e3) = all_57_1 &
% 198.57/31.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_3 & op(e3, e1) = all_57_5 &
% 198.57/31.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_7 & op(e1, e3) = e1 & op(e1,
% 198.57/31.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_21 & $i(all_57_0) & $i(all_57_1)
% 198.57/31.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_2) & $i(all_57_3) & $i(all_57_4) &
% 198.57/31.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 198.57/31.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21)) | (all_57_19 = e1 & ~ (all_57_8
% 198.57/31.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_10 = e2) & ~ (all_57_12 =
% 198.57/31.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_14 = e0) & ~ (all_57_21 =
% 198.57/31.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & op(e2, all_57_9) = all_57_8 & op(e2,
% 198.57/31.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_11) = all_57_10 & op(e2, all_57_13) =
% 198.57/31.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & op(e2, all_57_15) = all_57_14 &
% 198.57/31.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_9 & op(e2, e2) = all_57_11 &
% 198.57/31.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_57_13 & op(e2, e0) = all_57_15
% 198.57/31.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e1 & op(e1, e1) = all_57_21 &
% 198.57/31.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8) & $i(all_57_9) & $i(all_57_10) &
% 198.57/31.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_12) & $i(all_57_13) &
% 198.57/31.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & $i(all_57_15) & $i(all_57_21)) |
% 198.57/31.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (op(e0, e0) = all_57_31 & $i(all_57_31) &
% 198.57/31.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_23 = e1 & ~ (all_57_21 = e0) & ~
% 198.57/31.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 198.57/31.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) &
% 198.57/31.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_21 & op(e1, e0) = e1 &
% 198.57/31.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_25) = all_57_24 & op(e0,
% 198.57/31.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27) = all_57_26 & op(e0, all_57_29)
% 198.57/31.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_28 & op(e0, all_57_31) = all_57_30
% 198.57/31.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e3) = all_57_25 & op(e0, e2) =
% 198.57/31.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27 & op(e0, e1) = all_57_29 &
% 198.57/31.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_24) &
% 198.57/31.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_25) & $i(all_57_26) &
% 198.57/31.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27) & $i(all_57_28) &
% 198.57/31.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29) & $i(all_57_30)) | (all_57_25
% 198.57/31.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & ~ (all_57_0 = e3) & ~ (all_57_2 =
% 198.57/31.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_4 = e1) & ~ (all_57_6 =
% 198.57/31.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_31 = e3) & op(e3,
% 198.57/31.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1) = all_57_0 & op(e3, all_57_3) =
% 198.57/31.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_2 & op(e3, all_57_5) = all_57_4 &
% 198.57/31.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, all_57_7) = all_57_6 & op(e3, e3) =
% 198.57/31.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e2) = all_57_3 & op(e3,
% 198.57/31.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_5 & op(e3, e0) = all_57_7 &
% 198.57/31.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_0) &
% 198.57/31.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_2) & $i(all_57_3) &
% 198.57/31.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4) & $i(all_57_5) & $i(all_57_6) &
% 198.57/31.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7)) | (all_57_27 = e0 & ~
% 198.57/31.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e3) & ~ (all_57_10 = e2) & ~
% 198.57/31.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e1) & ~ (all_57_14 = e0) & ~
% 198.57/31.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e2) & op(e2, all_57_9) =
% 198.57/31.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_8 & op(e2, all_57_11) = all_57_10 &
% 198.57/31.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_13) = all_57_12 & op(e2,
% 198.57/31.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15) = all_57_14 & op(e2, e3) =
% 198.57/31.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_9 & op(e2, e2) = all_57_11 & op(e2,
% 198.57/31.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_13 & op(e2, e0) = all_57_15 &
% 198.57/31.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_8) &
% 198.57/31.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9) & $i(all_57_10) & $i(all_57_11)
% 198.57/31.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_12) & $i(all_57_13) &
% 198.57/31.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & $i(all_57_15)) | (all_57_29
% 198.57/31.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & ~ (all_57_16 = e3) & ~ (all_57_18 =
% 198.57/31.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_20 = e1) & ~ (all_57_22
% 198.57/31.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_31 = e1) & op(e1,
% 198.57/31.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17) = all_57_16 & op(e1, all_57_19)
% 198.57/31.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_18 & op(e1, all_57_21) = all_57_20
% 198.57/31.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, all_57_23) = all_57_22 & op(e1, e3)
% 198.57/31.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_17 & op(e1, e2) = all_57_19 &
% 198.57/31.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_21 & op(e1, e0) =
% 198.57/31.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23 & op(e0, e1) = e0 & $i(all_57_16)
% 198.57/31.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_17) & $i(all_57_18) &
% 198.57/31.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_20) &
% 198.57/31.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_22) &
% 198.57/31.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23))))
% 198.57/31.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8982) gives:
% 198.57/31.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 198.57/31.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8983) (all_57_13 = e2 & ~ (all_57_11 = e1) & ~
% 198.57/31.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_16 = e3) & ~ (all_57_18 = e2) & ~
% 198.57/31.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_22 = e0) & op(e2,
% 198.57/31.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_11 & op(e2, e1) = e2 & op(e1,
% 198.57/31.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17) = all_57_16 & op(e1, all_57_19) =
% 198.57/31.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_18 & op(e1, all_57_21) = all_57_20 &
% 198.57/31.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_23) = all_57_22 & op(e1, e3) =
% 198.57/31.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e1, e2) = all_57_19 & op(e1, e1)
% 198.57/31.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_21 & op(e1, e0) = all_57_23 &
% 198.57/31.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_16) & $i(all_57_17) &
% 198.57/31.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_19) & $i(all_57_20) &
% 198.57/31.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_22) & $i(all_57_23)) |
% 198.57/31.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e2 & ~ (all_57_11 = e0) & ~
% 198.57/31.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 198.57/31.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) & op(e2,
% 198.57/31.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_11 & op(e2, e0) = e2 & op(e0,
% 198.57/31.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25) = all_57_24 & op(e0, all_57_27) =
% 198.57/31.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e0, all_57_29) = all_57_28 &
% 198.57/31.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_31) = all_57_30 & op(e0, e3) =
% 198.57/31.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_27 & op(e0, e1)
% 198.57/31.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_29 & op(e0, e0) = all_57_31 &
% 198.57/31.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_24) & $i(all_57_25) &
% 198.57/31.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_27) & $i(all_57_28) &
% 198.57/31.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29) & $i(all_57_30) & $i(all_57_31))
% 198.57/31.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8983) gives:
% 198.57/31.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 198.57/31.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8984) all_57_13 = e2 & ~ (all_57_11 = e1) & ~
% 198.57/31.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_16 = e3) & ~ (all_57_18 = e2) & ~
% 198.57/31.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_22 = e0) & op(e2,
% 198.57/31.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_11 & op(e2, e1) = e2 & op(e1,
% 198.57/31.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17) = all_57_16 & op(e1, all_57_19) =
% 198.57/31.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_18 & op(e1, all_57_21) = all_57_20 & op(e1,
% 198.57/31.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23) = all_57_22 & op(e1, e3) = all_57_17
% 198.57/31.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = all_57_19 & op(e1, e1) = all_57_21
% 198.57/31.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e0) = all_57_23 & $i(all_57_11) &
% 198.57/31.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_16) & $i(all_57_17) & $i(all_57_18) &
% 198.57/31.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_20) & $i(all_57_21) &
% 198.57/31.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_23)
% 198.57/31.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8984) implies:
% 198.57/31.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8985) ~ (all_57_20 = e1)
% 198.57/31.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8986) op(e1, e1) = all_57_21
% 198.57/31.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8987) op(e1, all_57_21) = all_57_20
% 198.57/31.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8921), (8985), (8986), (8987), (function-axioms)
% 198.57/31.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1953.
% 198.57/31.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 198.57/31.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8988) all_57_15 = e2 & ~ (all_57_11 = e0) & ~
% 198.57/31.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 198.57/31.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) & op(e2,
% 198.57/31.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_11 & op(e2, e0) = e2 & op(e0,
% 198.57/31.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25) = all_57_24 & op(e0, all_57_27) =
% 198.57/31.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e0, all_57_29) = all_57_28 & op(e0,
% 198.57/31.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_31) = all_57_30 & op(e0, e3) = all_57_25
% 198.57/31.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e2) = all_57_27 & op(e0, e1) = all_57_29
% 198.57/31.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = all_57_31 & $i(all_57_11) &
% 198.57/31.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_24) & $i(all_57_25) & $i(all_57_26) &
% 198.57/31.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27) & $i(all_57_28) & $i(all_57_29) &
% 198.57/31.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30) & $i(all_57_31)
% 198.57/31.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8988) implies:
% 198.57/31.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8989) op(e2, e0) = e2
% 198.57/31.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (146), (198), (206), (219), (261),
% 198.57/31.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (269), (7532), (8339), (8787), (8921), (8947),
% 198.57/31.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8949), (8955), (8958), (8966), (8970), (8974),
% 198.57/31.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8978), (8989), (function-axioms) are inconsistent
% 198.57/31.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #728.
% 198.57/31.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 198.57/31.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 198.57/31.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8990) (all_57_17 = e1 & ~ (all_57_0 = e3) & ~
% 198.57/31.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e2) & ~ (all_57_4 = e1) & ~
% 198.57/31.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_6 = e0) & ~ (all_57_21 = e3) & op(e3,
% 198.57/31.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1) = all_57_0 & op(e3, all_57_3) =
% 198.57/31.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_2 & op(e3, all_57_5) = all_57_4 & op(e3,
% 198.57/31.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7) = all_57_6 & op(e3, e3) = all_57_1 &
% 198.57/31.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_3 & op(e3, e1) = all_57_5 &
% 198.57/31.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_7 & op(e1, e3) = e1 & op(e1,
% 198.57/31.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_21 & $i(all_57_0) & $i(all_57_1)
% 198.57/31.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_2) & $i(all_57_3) & $i(all_57_4) &
% 198.57/31.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 198.57/31.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21)) | (all_57_19 = e1 & ~ (all_57_8
% 198.57/31.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_10 = e2) & ~ (all_57_12 =
% 198.57/31.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_14 = e0) & ~ (all_57_21 =
% 198.57/31.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & op(e2, all_57_9) = all_57_8 & op(e2,
% 198.57/31.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_11) = all_57_10 & op(e2, all_57_13) =
% 198.57/31.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & op(e2, all_57_15) = all_57_14 &
% 198.57/31.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_9 & op(e2, e2) = all_57_11 &
% 198.57/31.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_57_13 & op(e2, e0) = all_57_15
% 198.57/31.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e1 & op(e1, e1) = all_57_21 &
% 198.57/31.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8) & $i(all_57_9) & $i(all_57_10) &
% 198.57/31.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_12) & $i(all_57_13) &
% 198.57/31.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & $i(all_57_15) & $i(all_57_21)) |
% 198.57/31.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (op(e0, e0) = all_57_31 & $i(all_57_31) &
% 198.57/31.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_23 = e1 & ~ (all_57_21 = e0) & ~
% 198.57/31.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 198.57/31.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) &
% 198.57/31.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_21 & op(e1, e0) = e1 &
% 198.57/31.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_25) = all_57_24 & op(e0,
% 198.57/31.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27) = all_57_26 & op(e0, all_57_29)
% 198.57/31.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_28 & op(e0, all_57_31) = all_57_30
% 198.57/31.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e3) = all_57_25 & op(e0, e2) =
% 198.57/31.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27 & op(e0, e1) = all_57_29 &
% 198.57/31.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_24) &
% 198.57/31.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_25) & $i(all_57_26) &
% 198.57/31.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27) & $i(all_57_28) &
% 198.57/31.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29) & $i(all_57_30)) | (all_57_25
% 198.57/31.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & ~ (all_57_0 = e3) & ~ (all_57_2 =
% 198.57/31.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_4 = e1) & ~ (all_57_6 =
% 198.57/31.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_31 = e3) & op(e3,
% 198.57/31.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1) = all_57_0 & op(e3, all_57_3) =
% 198.57/31.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_2 & op(e3, all_57_5) = all_57_4 &
% 198.57/31.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, all_57_7) = all_57_6 & op(e3, e3) =
% 198.57/31.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e2) = all_57_3 & op(e3,
% 198.57/31.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_5 & op(e3, e0) = all_57_7 &
% 198.57/31.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_0) &
% 198.57/31.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_2) & $i(all_57_3) &
% 198.57/31.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4) & $i(all_57_5) & $i(all_57_6) &
% 198.57/31.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7)) | (all_57_27 = e0 & ~
% 198.57/31.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e3) & ~ (all_57_10 = e2) & ~
% 198.57/31.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e1) & ~ (all_57_14 = e0) & ~
% 198.57/31.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e2) & op(e2, all_57_9) =
% 198.57/31.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_8 & op(e2, all_57_11) = all_57_10 &
% 198.57/31.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_13) = all_57_12 & op(e2,
% 198.57/31.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15) = all_57_14 & op(e2, e3) =
% 198.57/31.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_9 & op(e2, e2) = all_57_11 & op(e2,
% 198.57/31.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_13 & op(e2, e0) = all_57_15 &
% 198.57/31.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_8) &
% 198.57/31.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9) & $i(all_57_10) & $i(all_57_11)
% 198.57/31.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_12) & $i(all_57_13) &
% 198.57/31.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & $i(all_57_15)) | (all_57_29
% 198.57/31.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & ~ (all_57_16 = e3) & ~ (all_57_18 =
% 198.57/31.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_20 = e1) & ~ (all_57_22
% 198.57/31.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_31 = e1) & op(e1,
% 198.57/31.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17) = all_57_16 & op(e1, all_57_19)
% 198.57/31.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_18 & op(e1, all_57_21) = all_57_20
% 198.57/31.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, all_57_23) = all_57_22 & op(e1, e3)
% 198.57/31.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_17 & op(e1, e2) = all_57_19 &
% 198.57/31.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_21 & op(e1, e0) =
% 198.57/31.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23 & op(e0, e1) = e0 & $i(all_57_16)
% 198.57/31.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_17) & $i(all_57_18) &
% 198.57/31.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_20) &
% 198.57/31.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_22) &
% 198.57/31.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23))))
% 198.57/31.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8990) gives:
% 198.57/31.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 198.57/31.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8991) all_57_17 = e1 & ~ (all_57_0 = e3) & ~ (all_57_2
% 198.57/31.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2) & ~ (all_57_4 = e1) & ~ (all_57_6 = e0)
% 198.57/31.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_21 = e3) & op(e3, all_57_1) =
% 198.57/31.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_0 & op(e3, all_57_3) = all_57_2 & op(e3,
% 198.57/31.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_5) = all_57_4 & op(e3, all_57_7) =
% 198.57/31.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_6 & op(e3, e3) = all_57_1 & op(e3, e2) =
% 198.57/31.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 & op(e3, e1) = all_57_5 & op(e3, e0) =
% 198.57/31.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7 & op(e1, e3) = e1 & op(e1, e1) =
% 198.57/31.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_21 & $i(all_57_0) & $i(all_57_1) &
% 198.57/31.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_2) & $i(all_57_3) & $i(all_57_4) &
% 198.57/31.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 198.57/31.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21)
% 198.57/31.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8991) implies:
% 198.57/31.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8992) op(e1, e3) = e1
% 198.57/31.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (163), (8775), (8792), (8992), (function-axioms)
% 198.57/31.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1750.
% 198.57/31.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 198.57/31.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8993) (all_57_19 = e1 & ~ (all_57_8 = e3) & ~
% 198.57/31.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e2) & ~ (all_57_12 = e1) & ~
% 198.57/31.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e0) & ~ (all_57_21 = e2) & op(e2,
% 198.57/31.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_9) = all_57_8 & op(e2, all_57_11) =
% 198.57/31.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e2, all_57_13) = all_57_12 &
% 198.57/31.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_15) = all_57_14 & op(e2, e3) =
% 198.57/31.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_9 & op(e2, e2) = all_57_11 & op(e2, e1) =
% 198.57/31.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_13 & op(e2, e0) = all_57_15 & op(e1, e2)
% 198.57/31.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & op(e1, e1) = all_57_21 & $i(all_57_8) &
% 198.57/31.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9) & $i(all_57_10) & $i(all_57_11) &
% 198.57/31.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & $i(all_57_13) & $i(all_57_14) &
% 198.57/31.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & $i(all_57_21)) | (op(e0, e0) =
% 198.57/31.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_31 & $i(all_57_31) & ((all_57_23 = e1 &
% 198.57/31.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_21 = e0) & ~ (all_57_24 = e3) &
% 198.57/31.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_26 = e2) & ~ (all_57_28 = e1) &
% 198.57/31.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_30 = e0) & op(e1, e1) = all_57_21
% 198.57/31.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e0) = e1 & op(e0, all_57_25) =
% 198.57/31.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_24 & op(e0, all_57_27) = all_57_26 &
% 198.57/31.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_29) = all_57_28 & op(e0,
% 198.57/31.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_31) = all_57_30 & op(e0, e3) =
% 198.57/31.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_27 & op(e0,
% 198.57/31.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_29 & $i(all_57_21) &
% 198.57/31.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_24) & $i(all_57_25) &
% 198.57/31.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_27) &
% 198.57/31.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28) & $i(all_57_29) &
% 198.57/31.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_25 = e0 & ~
% 198.57/31.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_0 = e3) & ~ (all_57_2 = e2) & ~
% 198.57/31.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1) & ~ (all_57_6 = e0) & ~
% 198.57/31.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e3) & op(e3, all_57_1) =
% 198.57/31.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_0 & op(e3, all_57_3) = all_57_2 &
% 198.57/31.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, all_57_5) = all_57_4 & op(e3,
% 198.57/31.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7) = all_57_6 & op(e3, e3) =
% 198.57/31.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e2) = all_57_3 & op(e3,
% 198.57/31.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_5 & op(e3, e0) = all_57_7 &
% 198.57/31.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_0) &
% 198.57/31.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_2) & $i(all_57_3) &
% 198.57/31.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4) & $i(all_57_5) & $i(all_57_6) &
% 198.57/31.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7)) | (all_57_27 = e0 & ~
% 198.57/31.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e3) & ~ (all_57_10 = e2) & ~
% 198.57/31.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e1) & ~ (all_57_14 = e0) & ~
% 198.57/31.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e2) & op(e2, all_57_9) =
% 198.57/31.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_8 & op(e2, all_57_11) = all_57_10 &
% 198.57/31.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_13) = all_57_12 & op(e2,
% 198.57/31.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15) = all_57_14 & op(e2, e3) =
% 198.57/31.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_9 & op(e2, e2) = all_57_11 & op(e2,
% 198.57/31.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_13 & op(e2, e0) = all_57_15 &
% 198.57/31.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_8) &
% 198.57/31.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9) & $i(all_57_10) & $i(all_57_11)
% 198.57/31.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_12) & $i(all_57_13) &
% 198.57/31.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & $i(all_57_15)) | (all_57_29
% 198.57/31.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & ~ (all_57_16 = e3) & ~ (all_57_18 =
% 198.57/31.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_20 = e1) & ~ (all_57_22
% 198.57/31.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_31 = e1) & op(e1,
% 198.57/31.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17) = all_57_16 & op(e1, all_57_19)
% 198.57/31.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_18 & op(e1, all_57_21) = all_57_20
% 198.57/31.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, all_57_23) = all_57_22 & op(e1, e3)
% 198.57/31.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_17 & op(e1, e2) = all_57_19 &
% 198.57/31.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_21 & op(e1, e0) =
% 198.57/31.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23 & op(e0, e1) = e0 & $i(all_57_16)
% 198.57/31.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_17) & $i(all_57_18) &
% 198.57/31.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_20) &
% 198.57/31.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_22) &
% 198.57/31.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23))))
% 198.57/31.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (160), (162), (7532), (8919), (8921), (8948),
% 198.57/31.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8957), (8993), (function-axioms) are inconsistent
% 198.57/31.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #726.
% 198.57/31.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 198.57/31.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 198.57/31.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 198.57/31.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 198.57/31.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 198.57/31.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8994) (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 =
% 198.57/31.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e1) = e2)
% 198.57/31.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (157), (8921), (8968), (8994),
% 198.57/31.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 198.57/31.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #725.
% 198.57/31.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 198.57/31.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 198.57/31.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 198.57/31.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8995) all_54_12 = e1 | all_54_12 = e0
% 198.57/31.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (249), (8954), (8956), (8995) are inconsistent by
% 198.57/31.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1276.
% 198.57/31.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 198.57/31.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 198.57/31.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 198.57/31.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8996) all_56_11 = e1 & op(e1, e0) = e1
% 198.57/31.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8996) implies:
% 198.57/31.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8997) op(e1, e0) = e1
% 198.57/31.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (160), (8919), (8997), (function-axioms) are
% 198.57/31.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1938.
% 198.57/31.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 198.57/31.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 198.57/31.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 198.57/31.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 198.57/31.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8998) (all_57_31 = e2 & ~ (all_57_8 = e3) & ~
% 198.57/31.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e2) & ~ (all_57_12 = e1) & ~
% 198.57/31.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e0) & ~ (all_57_27 = e0) & op(e2,
% 198.57/31.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_9) = all_57_8 & op(e2, all_57_11) =
% 198.57/31.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e2, all_57_13) = all_57_12 &
% 198.57/31.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_15) = all_57_14 & op(e2, e3) =
% 198.57/31.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_9 & op(e2, e2) = all_57_11 & op(e2, e1) =
% 198.57/31.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_13 & op(e2, e0) = all_57_15 & op(e0, e2)
% 198.57/31.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_27 & $i(all_57_8) & $i(all_57_9) &
% 198.57/31.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & $i(all_57_11) & $i(all_57_12) &
% 198.57/31.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13) & $i(all_57_14) & $i(all_57_15) &
% 198.57/31.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27)) | (all_57_31 = e1 & ~ (all_57_16
% 198.57/31.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_18 = e2) & ~ (all_57_20 =
% 198.57/31.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_22 = e0) & ~ (all_57_29 =
% 198.57/31.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & op(e1, all_57_17) = all_57_16 & op(e1,
% 198.57/31.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_19) = all_57_18 & op(e1, all_57_21) =
% 198.57/31.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20 & op(e1, all_57_23) = all_57_22 &
% 198.57/31.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_17 & op(e1, e2) = all_57_19
% 198.57/31.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = all_57_21 & op(e1, e0) =
% 198.57/31.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23 & op(e0, e1) = all_57_29 &
% 198.57/31.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_16) & $i(all_57_17) & $i(all_57_18) &
% 198.57/31.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_20) & $i(all_57_21) &
% 198.57/31.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_23) & $i(all_57_29))
% 198.57/31.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (7532), (8908), (8921), (8998),
% 198.57/31.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 198.57/31.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #800.
% 198.57/31.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 198.57/31.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 198.57/31.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 198.57/31.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 198.57/31.73 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.73 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 198.57/31.73 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.73 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 198.57/31.73 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.73 | | | | | | | | | | | | | | | | | | | | | | | | | | (8999) all_54_10 = e0
% 198.57/31.73 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.73 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (335), (372), (8999) are inconsistent by sub-proof
% 198.57/31.73 | | | | | | | | | | | | | | | | | | | | | | | | | | #1950.
% 198.57/31.73 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.73 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 198.57/31.73 | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.73 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 198.57/31.73 | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.73 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 198.57/31.73 | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.73 | | | | | | | | | | | | | | | | | | | | | | End of split
% 198.57/31.73 | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.73 | | | | | | | | | | | | | | | | | | | | | End of split
% 198.57/31.73 | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.73 | | | | | | | | | | | | | | | | | | | | End of split
% 198.57/31.73 | | | | | | | | | | | | | | | | | | | |
% 198.57/31.73 | | | | | | | | | | | | | | | | | | | End of split
% 198.57/31.73 | | | | | | | | | | | | | | | | | | |
% 198.57/31.73 | | | | | | | | | | | | | | | | | | End of split
% 198.57/31.73 | | | | | | | | | | | | | | | | | |
% 198.57/31.73 | | | | | | | | | | | | | | | | | Case 2:
% 198.57/31.73 | | | | | | | | | | | | | | | | | |
% 198.57/31.73 | | | | | | | | | | | | | | | | | | (9000) all_56_9 = e3 & op(e3, e0) = e3
% 198.57/31.73 | | | | | | | | | | | | | | | | | |
% 198.57/31.73 | | | | | | | | | | | | | | | | | | ALPHA: (9000) implies:
% 198.57/31.73 | | | | | | | | | | | | | | | | | | (9001) op(e3, e0) = e3
% 198.57/31.73 | | | | | | | | | | | | | | | | | |
% 198.57/31.73 | | | | | | | | | | | | | | | | | | REF_CLOSE: (168), (7529), (9001), (function-axioms) are
% 198.57/31.73 | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1928.
% 198.57/31.73 | | | | | | | | | | | | | | | | | |
% 198.57/31.73 | | | | | | | | | | | | | | | | | End of split
% 198.57/31.73 | | | | | | | | | | | | | | | | |
% 198.57/31.73 | | | | | | | | | | | | | | | | End of split
% 198.57/31.73 | | | | | | | | | | | | | | | |
% 198.57/31.73 | | | | | | | | | | | | | | | Case 2:
% 198.57/31.73 | | | | | | | | | | | | | | | |
% 198.57/31.73 | | | | | | | | | | | | | | | | (9002) all_56_12 = e3 & op(e0, e3) = e3
% 198.57/31.73 | | | | | | | | | | | | | | | |
% 198.57/31.73 | | | | | | | | | | | | | | | | ALPHA: (9002) implies:
% 198.57/31.73 | | | | | | | | | | | | | | | | (9003) all_56_12 = e3
% 198.57/31.73 | | | | | | | | | | | | | | | |
% 198.57/31.73 | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (206), (207), (208),
% 198.57/31.73 | | | | | | | | | | | | | | | | (7532), (9003), (function-axioms) are inconsistent
% 198.57/31.73 | | | | | | | | | | | | | | | | by sub-proof #1442.
% 198.57/31.73 | | | | | | | | | | | | | | | |
% 198.57/31.73 | | | | | | | | | | | | | | | End of split
% 198.57/31.73 | | | | | | | | | | | | | | |
% 198.57/31.73 | | | | | | | | | | | | | | End of split
% 198.57/31.73 | | | | | | | | | | | | | |
% 198.57/31.73 | | | | | | | | | | | | | End of split
% 198.57/31.73 | | | | | | | | | | | | |
% 198.57/31.73 | | | | | | | | | | | | End of split
% 198.57/31.73 | | | | | | | | | | | |
% 198.57/31.73 | | | | | | | | | | | Case 2:
% 198.57/31.73 | | | | | | | | | | | |
% 198.57/31.73 | | | | | | | | | | | | (9004) (all_56_7 = e3 & op(e1, e2) = e3) | (all_56_13 =
% 198.57/31.73 | | | | | | | | | | | | e3 & op(e0, e2) = e3)
% 198.57/31.73 | | | | | | | | | | | |
% 198.57/31.73 | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (162), (225), (226),
% 198.57/31.73 | | | | | | | | | | | | (227), (8338), (8340), (9004), (function-axioms)
% 198.57/31.73 | | | | | | | | | | | | are inconsistent by sub-proof #885.
% 198.57/31.73 | | | | | | | | | | | |
% 198.57/31.73 | | | | | | | | | | | End of split
% 198.57/31.73 | | | | | | | | | | |
% 198.57/31.73 | | | | | | | | | | End of split
% 198.57/31.73 | | | | | | | | | |
% 198.57/31.73 | | | | | | | | | End of split
% 198.57/31.73 | | | | | | | | |
% 198.57/31.73 | | | | | | | | Case 2:
% 198.57/31.73 | | | | | | | | |
% 198.57/31.73 | | | | | | | | | (9005) all_14_2 = e2
% 198.57/31.73 | | | | | | | | | (9006) op(e2, e3) = all_14_1 & $i(all_14_1) & ( ~ (all_14_1
% 198.57/31.73 | | | | | | | | | = e1) | ( ~ (all_14_0 = e0) & op(e1, e2) =
% 198.57/31.73 | | | | | | | | | all_14_0 & $i(all_14_0)))
% 198.57/31.73 | | | | | | | | |
% 198.57/31.73 | | | | | | | | | ALPHA: (9006) implies:
% 198.57/31.73 | | | | | | | | | (9007) op(e2, e3) = all_14_1
% 198.57/31.73 | | | | | | | | |
% 198.57/31.73 | | | | | | | | | COMBINE_EQS: (321), (9005) imply:
% 198.57/31.73 | | | | | | | | | (9008) all_22_2 = e2
% 198.57/31.73 | | | | | | | | |
% 198.57/31.73 | | | | | | | | | REDUCE: (337), (9005) imply:
% 198.57/31.73 | | | | | | | | | (9009) ~ (all_52_1 = e2)
% 198.57/31.73 | | | | | | | | |
% 198.57/31.73 | | | | | | | | | REDUCE: (339), (9005) imply:
% 198.57/31.73 | | | | | | | | | (9010) ~ (all_52_2 = e2)
% 198.57/31.73 | | | | | | | | |
% 198.57/31.73 | | | | | | | | | REDUCE: (341), (9005) imply:
% 198.57/31.73 | | | | | | | | | (9011) ~ (all_52_3 = e2)
% 198.57/31.73 | | | | | | | | |
% 198.57/31.73 | | | | | | | | | REDUCE: (343), (9005) imply:
% 198.57/31.73 | | | | | | | | | (9012) ~ (all_52_4 = e2)
% 198.57/31.73 | | | | | | | | |
% 198.57/31.73 | | | | | | | | | REDUCE: (345), (9005) imply:
% 198.57/31.73 | | | | | | | | | (9013) ~ (all_52_8 = e2)
% 198.57/31.73 | | | | | | | | |
% 198.57/31.73 | | | | | | | | | REDUCE: (7559), (9005) imply:
% 198.57/31.73 | | | | | | | | | (9014) ~ (all_10_1 = e2)
% 198.57/31.73 | | | | | | | | |
% 198.57/31.73 | | | | | | | | | SIMP: (9014) implies:
% 198.57/31.73 | | | | | | | | | (9015) ~ (all_10_1 = e2)
% 198.57/31.73 | | | | | | | | |
% 198.57/31.73 | | | | | | | | | BETA: splitting (64) gives:
% 198.57/31.73 | | | | | | | | |
% 198.57/31.73 | | | | | | | | | Case 1:
% 198.57/31.73 | | | | | | | | | |
% 198.57/31.73 | | | | | | | | | | (9016) ~ (all_22_2 = e2)
% 198.57/31.73 | | | | | | | | | |
% 198.57/31.73 | | | | | | | | | | REDUCE: (9008), (9016) imply:
% 198.57/31.73 | | | | | | | | | | (9017) $false
% 198.57/31.73 | | | | | | | | | |
% 198.57/31.73 | | | | | | | | | | CLOSE: (9017) is inconsistent.
% 198.57/31.73 | | | | | | | | | |
% 198.57/31.73 | | | | | | | | | Case 2:
% 198.57/31.73 | | | | | | | | | |
% 198.57/31.73 | | | | | | | | | | (9018) op(e2, e3) = all_22_1 & $i(all_22_1) & ( ~
% 198.57/31.73 | | | | | | | | | | (all_22_1 = e0) | ( ~ (all_22_0 = e1) & op(e0,
% 198.57/31.73 | | | | | | | | | | e2) = all_22_0 & $i(all_22_0)))
% 198.57/31.73 | | | | | | | | | |
% 198.57/31.73 | | | | | | | | | | ALPHA: (9018) implies:
% 198.57/31.73 | | | | | | | | | | (9019) op(e2, e3) = all_22_1
% 198.57/31.73 | | | | | | | | | |
% 198.57/31.73 | | | | | | | | | | BETA: splitting (234) gives:
% 198.57/31.73 | | | | | | | | | |
% 198.57/31.73 | | | | | | | | | | Case 1:
% 198.57/31.73 | | | | | | | | | | |
% 198.57/31.73 | | | | | | | | | | | (9020) (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_1 = e2
% 198.57/31.73 | | | | | | | | | | | & op(e3, e2) = e2)
% 198.57/31.73 | | | | | | | | | | |
% 198.57/31.73 | | | | | | | | | | | BETA: splitting (9020) gives:
% 198.57/31.73 | | | | | | | | | | |
% 198.57/31.73 | | | | | | | | | | | Case 1:
% 198.57/31.73 | | | | | | | | | | | |
% 198.57/31.73 | | | | | | | | | | | | (9021) all_56_0 = e2 & op(e3, e3) = e2
% 198.57/31.73 | | | | | | | | | | | |
% 198.57/31.73 | | | | | | | | | | | | ALPHA: (9021) implies:
% 198.57/31.73 | | | | | | | | | | | | (9022) all_56_0 = e2
% 198.57/31.73 | | | | | | | | | | | | (9023) op(e3, e3) = e2
% 198.57/31.73 | | | | | | | | | | | |
% 198.57/31.73 | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_1,
% 198.57/31.73 | | | | | | | | | | | | all_14_1, e3, e2, simplifying with (167), (9007)
% 198.57/31.73 | | | | | | | | | | | | gives:
% 198.57/31.73 | | | | | | | | | | | | (9024) all_52_1 = all_14_1
% 198.57/31.73 | | | | | | | | | | | |
% 198.57/31.73 | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_1,
% 198.57/31.73 | | | | | | | | | | | | all_22_1, e3, e2, simplifying with (167), (9019)
% 198.57/31.73 | | | | | | | | | | | | gives:
% 198.57/31.73 | | | | | | | | | | | | (9025) all_52_1 = all_22_1
% 198.57/31.73 | | | | | | | | | | | |
% 198.57/31.73 | | | | | | | | | | | | COMBINE_EQS: (9024), (9025) imply:
% 198.57/31.73 | | | | | | | | | | | | (9026) all_22_1 = all_14_1
% 198.57/31.73 | | | | | | | | | | | |
% 198.57/31.73 | | | | | | | | | | | | SIMP: (9026) implies:
% 198.57/31.73 | | | | | | | | | | | | (9027) all_22_1 = all_14_1
% 198.57/31.73 | | | | | | | | | | | |
% 198.57/31.73 | | | | | | | | | | | | REDUCE: (145), (9024) imply:
% 198.57/31.73 | | | | | | | | | | | | (9028) ~ (all_52_13 = all_14_1)
% 198.57/31.73 | | | | | | | | | | | |
% 198.57/31.73 | | | | | | | | | | | | SIMP: (9028) implies:
% 198.57/31.73 | | | | | | | | | | | | (9029) ~ (all_52_13 = all_14_1)
% 198.57/31.73 | | | | | | | | | | | |
% 198.57/31.73 | | | | | | | | | | | | REDUCE: (348), (9024) imply:
% 198.57/31.73 | | | | | | | | | | | | (9030) ~ (all_14_1 = all_6_2)
% 198.57/31.73 | | | | | | | | | | | |
% 198.57/31.73 | | | | | | | | | | | | REDUCE: (9009), (9024) imply:
% 198.57/31.73 | | | | | | | | | | | | (9031) ~ (all_14_1 = e2)
% 198.57/31.73 | | | | | | | | | | | |
% 198.57/31.73 | | | | | | | | | | | | BETA: splitting (55) gives:
% 198.57/31.73 | | | | | | | | | | | |
% 198.57/31.73 | | | | | | | | | | | | Case 1:
% 198.57/31.73 | | | | | | | | | | | | |
% 198.57/31.73 | | | | | | | | | | | | | (9032) ~ (all_16_2 = e3)
% 198.57/31.73 | | | | | | | | | | | | |
% 198.57/31.73 | | | | | | | | | | | | | REDUCE: (328), (9032) imply:
% 198.57/31.73 | | | | | | | | | | | | | (9033) ~ (all_6_2 = e3)
% 198.57/31.73 | | | | | | | | | | | | |
% 198.57/31.73 | | | | | | | | | | | | | BETA: splitting (61) gives:
% 198.57/31.73 | | | | | | | | | | | | |
% 198.57/31.73 | | | | | | | | | | | | | Case 1:
% 198.57/31.73 | | | | | | | | | | | | | |
% 198.57/31.73 | | | | | | | | | | | | | | (9034) ~ (all_20_2 = e0)
% 198.57/31.73 | | | | | | | | | | | | | |
% 198.57/31.73 | | | | | | | | | | | | | | REDUCE: (283), (9034) imply:
% 198.57/31.73 | | | | | | | | | | | | | | (9035) ~ (all_6_2 = e0)
% 198.57/31.73 | | | | | | | | | | | | | |
% 198.57/31.73 | | | | | | | | | | | | | | BETA: splitting (199) gives:
% 198.57/31.73 | | | | | | | | | | | | | |
% 198.57/31.73 | | | | | | | | | | | | | | Case 1:
% 198.57/31.73 | | | | | | | | | | | | | | |
% 198.57/31.73 | | | | | | | | | | | | | | | (9036) all_54_5 = e3
% 198.57/31.73 | | | | | | | | | | | | | | |
% 198.57/31.73 | | | | | | | | | | | | | | | REF_CLOSE: (268), (9033), (9036) are inconsistent by
% 198.57/31.73 | | | | | | | | | | | | | | | sub-proof #884.
% 198.57/31.73 | | | | | | | | | | | | | | |
% 198.57/31.73 | | | | | | | | | | | | | | Case 2:
% 198.57/31.73 | | | | | | | | | | | | | | |
% 198.57/31.73 | | | | | | | | | | | | | | | (9037) ~ (all_54_5 = e3)
% 198.57/31.73 | | | | | | | | | | | | | | | (9038) all_54_5 = e2 | all_54_5 = e1 | all_54_5 = e0
% 198.57/31.73 | | | | | | | | | | | | | | |
% 198.57/31.73 | | | | | | | | | | | | | | | BETA: splitting (9038) gives:
% 198.57/31.73 | | | | | | | | | | | | | | |
% 198.57/31.73 | | | | | | | | | | | | | | | Case 1:
% 198.57/31.73 | | | | | | | | | | | | | | | |
% 198.57/31.73 | | | | | | | | | | | | | | | | (9039) all_54_5 = e2
% 198.57/31.73 | | | | | | | | | | | | | | | |
% 198.57/31.73 | | | | | | | | | | | | | | | | COMBINE_EQS: (268), (9039) imply:
% 198.57/31.73 | | | | | | | | | | | | | | | | (9040) all_6_2 = e2
% 198.57/31.73 | | | | | | | | | | | | | | | |
% 198.57/31.73 | | | | | | | | | | | | | | | | SIMP: (9040) implies:
% 198.57/31.73 | | | | | | | | | | | | | | | | (9041) all_6_2 = e2
% 198.57/31.73 | | | | | | | | | | | | | | | |
% 198.57/31.73 | | | | | | | | | | | | | | | | REDUCE: (353), (9041) imply:
% 198.57/31.73 | | | | | | | | | | | | | | | | (9042) ~ (all_52_6 = e2)
% 198.57/31.73 | | | | | | | | | | | | | | | |
% 198.57/31.73 | | | | | | | | | | | | | | | | REDUCE: (355), (9041) imply:
% 198.57/31.73 | | | | | | | | | | | | | | | | (9043) ~ (all_52_7 = e2)
% 198.57/31.73 | | | | | | | | | | | | | | | |
% 198.57/31.73 | | | | | | | | | | | | | | | | REDUCE: (9033), (9041) imply:
% 198.57/31.73 | | | | | | | | | | | | | | | | (9044) ~ (e3 = e2)
% 198.57/31.73 | | | | | | | | | | | | | | | |
% 198.57/31.73 | | | | | | | | | | | | | | | | REDUCE: (39), (9041) imply:
% 198.57/31.73 | | | | | | | | | | | | | | | | (9045) op(e2, e2) = e2
% 198.57/31.73 | | | | | | | | | | | | | | | |
% 198.57/31.73 | | | | | | | | | | | | | | | | BETA: splitting (215) gives:
% 198.57/31.73 | | | | | | | | | | | | | | | |
% 198.57/31.73 | | | | | | | | | | | | | | | | Case 1:
% 198.57/31.73 | | | | | | | | | | | | | | | | |
% 198.57/31.73 | | | | | | | | | | | | | | | | | (9046) (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_7 = e2
% 198.57/31.73 | | | | | | | | | | | | | | | | | & op(e1, e2) = e2)
% 198.57/31.73 | | | | | | | | | | | | | | | | |
% 198.57/31.73 | | | | | | | | | | | | | | | | | REF_CLOSE: (162), (163), (9010), (9042), (9046),
% 198.57/31.73 | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 198.57/31.73 | | | | | | | | | | | | | | | | | #1042.
% 198.57/31.73 | | | | | | | | | | | | | | | | |
% 198.57/31.73 | | | | | | | | | | | | | | | | Case 2:
% 198.57/31.73 | | | | | | | | | | | | | | | | |
% 198.57/31.73 | | | | | | | | | | | | | | | | | (9047) (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_11 =
% 198.57/31.73 | | | | | | | | | | | | | | | | | e2 & op(e1, e0) = e2)
% 198.57/31.73 | | | | | | | | | | | | | | | | |
% 198.57/31.73 | | | | | | | | | | | | | | | | | BETA: splitting (9047) gives:
% 198.57/31.73 | | | | | | | | | | | | | | | | |
% 198.57/31.73 | | | | | | | | | | | | | | | | | Case 1:
% 198.57/31.73 | | | | | | | | | | | | | | | | | |
% 198.57/31.73 | | | | | | | | | | | | | | | | | | (9048) all_56_8 = e2 & op(e1, e1) = e2
% 198.57/31.73 | | | | | | | | | | | | | | | | | |
% 198.57/31.73 | | | | | | | | | | | | | | | | | | ALPHA: (9048) implies:
% 198.57/31.73 | | | | | | | | | | | | | | | | | | (9049) op(e1, e1) = e2
% 198.57/31.73 | | | | | | | | | | | | | | | | | |
% 198.57/31.73 | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (375), (9049), (function-axioms) are
% 198.57/31.73 | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1759.
% 198.57/31.73 | | | | | | | | | | | | | | | | | |
% 198.57/31.73 | | | | | | | | | | | | | | | | | Case 2:
% 198.57/31.73 | | | | | | | | | | | | | | | | | |
% 198.57/31.73 | | | | | | | | | | | | | | | | | | (9050) all_56_11 = e2 & op(e1, e0) = e2
% 198.57/31.73 | | | | | | | | | | | | | | | | | |
% 198.57/31.73 | | | | | | | | | | | | | | | | | | ALPHA: (9050) implies:
% 198.57/31.73 | | | | | | | | | | | | | | | | | | (9051) op(e1, e0) = e2
% 198.57/31.73 | | | | | | | | | | | | | | | | | |
% 198.57/31.73 | | | | | | | | | | | | | | | | | | BETA: splitting (208) gives:
% 198.57/31.73 | | | | | | | | | | | | | | | | | |
% 198.57/31.73 | | | | | | | | | | | | | | | | | | Case 1:
% 198.57/31.73 | | | | | | | | | | | | | | | | | | |
% 198.57/31.73 | | | | | | | | | | | | | | | | | | | (9052) (all_56_12 = e2 & op(e0, e3) = e2) | (all_56_13 =
% 198.57/31.73 | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e2)
% 198.57/31.73 | | | | | | | | | | | | | | | | | | |
% 198.57/31.73 | | | | | | | | | | | | | | | | | | | BETA: splitting (9052) gives:
% 198.57/31.73 | | | | | | | | | | | | | | | | | | |
% 198.57/31.73 | | | | | | | | | | | | | | | | | | | Case 1:
% 198.57/31.73 | | | | | | | | | | | | | | | | | | | |
% 198.57/31.73 | | | | | | | | | | | | | | | | | | | | (9053) all_56_12 = e2 & op(e0, e3) = e2
% 198.57/31.73 | | | | | | | | | | | | | | | | | | | |
% 198.57/31.73 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (159), (9011), (9053), (function-axioms) are
% 198.57/31.73 | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1847.
% 198.57/31.73 | | | | | | | | | | | | | | | | | | | |
% 198.57/31.73 | | | | | | | | | | | | | | | | | | | Case 2:
% 198.57/31.73 | | | | | | | | | | | | | | | | | | | |
% 198.57/31.73 | | | | | | | | | | | | | | | | | | | | (9054) all_56_13 = e2 & op(e0, e2) = e2
% 198.57/31.73 | | | | | | | | | | | | | | | | | | | |
% 198.57/31.73 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (158), (9043), (9054), (function-axioms) are
% 198.57/31.73 | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1969.
% 198.57/31.73 | | | | | | | | | | | | | | | | | | | |
% 198.57/31.73 | | | | | | | | | | | | | | | | | | | End of split
% 198.57/31.73 | | | | | | | | | | | | | | | | | | |
% 198.57/31.73 | | | | | | | | | | | | | | | | | | Case 2:
% 198.57/31.73 | | | | | | | | | | | | | | | | | | |
% 198.57/31.73 | | | | | | | | | | | | | | | | | | | (9055) (all_56_14 = e2 & op(e0, e1) = e2) | (all_56_15 =
% 198.57/31.73 | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = e2)
% 198.57/31.73 | | | | | | | | | | | | | | | | | | |
% 198.57/31.73 | | | | | | | | | | | | | | | | | | | BETA: splitting (9055) gives:
% 198.57/31.73 | | | | | | | | | | | | | | | | | | |
% 198.57/31.73 | | | | | | | | | | | | | | | | | | | Case 1:
% 198.57/31.73 | | | | | | | | | | | | | | | | | | | |
% 198.57/31.73 | | | | | | | | | | | | | | | | | | | | (9056) all_56_14 = e2 & op(e0, e1) = e2
% 198.57/31.73 | | | | | | | | | | | | | | | | | | | |
% 198.57/31.73 | | | | | | | | | | | | | | | | | | | | ALPHA: (9056) implies:
% 198.57/31.73 | | | | | | | | | | | | | | | | | | | | (9057) op(e0, e1) = e2
% 198.57/31.73 | | | | | | | | | | | | | | | | | | | |
% 198.57/31.73 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_11,
% 198.57/31.73 | | | | | | | | | | | | | | | | | | | | e2, e1, e0, simplifying with (157), (9057) gives:
% 198.57/31.73 | | | | | | | | | | | | | | | | | | | | (9058) all_52_11 = e2
% 198.57/31.73 | | | | | | | | | | | | | | | | | | | |
% 198.57/31.73 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_14,
% 198.57/31.73 | | | | | | | | | | | | | | | | | | | | e2, e0, e1, simplifying with (160), (9051) gives:
% 198.57/31.73 | | | | | | | | | | | | | | | | | | | | (9059) all_52_14 = e2
% 198.57/31.73 | | | | | | | | | | | | | | | | | | | |
% 198.57/31.73 | | | | | | | | | | | | | | | | | | | | REDUCE: (118), (9058) imply:
% 198.57/31.73 | | | | | | | | | | | | | | | | | | | | (9060) ~ (all_52_9 = e2)
% 198.57/31.73 | | | | | | | | | | | | | | | | | | | |
% 198.57/31.73 | | | | | | | | | | | | | | | | | | | | REDUCE: (110), (9059) imply:
% 198.57/31.73 | | | | | | | | | | | | | | | | | | | | (9061) ~ (all_52_13 = e2)
% 198.57/31.73 | | | | | | | | | | | | | | | | | | | |
% 198.57/31.73 | | | | | | | | | | | | | | | | | | | | REDUCE: (367), (9059) imply:
% 198.57/31.73 | | | | | | | | | | | | | | | | | | | | (9062) ~ (all_4_2 = e2)
% 198.57/31.73 | | | | | | | | | | | | | | | | | | | |
% 198.57/31.73 | | | | | | | | | | | | | | | | | | | | BETA: splitting (79) gives:
% 198.57/31.73 | | | | | | | | | | | | | | | | | | | |
% 198.57/31.73 | | | | | | | | | | | | | | | | | | | | Case 1:
% 198.57/31.73 | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.73 | | | | | | | | | | | | | | | | | | | | | (9063) ~ (all_32_2 = e3)
% 198.57/31.73 | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | REDUCE: (301), (9063) imply:
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | (9064) ~ (all_4_2 = e3)
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (158), (160), (162), (163), (164), (165),
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | (167), (168), (170), (194), (227), (238), (335),
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | (349), (367), (372), (375), (7529), (7532),
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | (9009), (9012), (9042), (9043), (9060), (9061),
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | (9064), (function-axioms) are inconsistent by
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | sub-proof #881.
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | Case 2:
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | (9065) all_32_2 = e3
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (301), (9065) imply:
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | (9066) all_4_2 = e3
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | SIMP: (9066) implies:
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | (9067) all_4_2 = e3
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | REDUCE: (362), (9067) imply:
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | (9068) ~ (all_52_8 = e3)
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | REDUCE: (363), (9067) imply:
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | (9069) ~ (all_52_9 = e3)
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | REDUCE: (36), (9067) imply:
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | (9070) op(e1, e1) = e3
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (224) gives:
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | (9071) (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e3)
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9071) gives:
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | (9072) all_56_2 = e3 & op(e2, e3) = e3
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9072) implies:
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | (9073) op(e2, e3) = e3
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (238) gives:
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | (9074) (all_57_3 = e3 & ~ (all_57_1 = e2) & ~ (all_57_8
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_10 = e2) & ~ (all_57_12 =
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_14 = e0) & op(e3, e3) =
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e2) = e3 & op(e2, all_57_9) =
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | all_57_8 & op(e2, all_57_11) = all_57_10 &
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_13) = all_57_12 & op(e2,
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | all_57_15) = all_57_14 & op(e2, e3) = all_57_9
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = all_57_11 & op(e2, e1) =
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | all_57_13 & op(e2, e0) = all_57_15 &
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_8) & $i(all_57_9) &
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & $i(all_57_11) & $i(all_57_12) &
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13) & $i(all_57_14) & $i(all_57_15)) |
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_5 = e3 & ~ (all_57_1 = e1) & ~
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_16 = e3) & ~ (all_57_18 = e2) & ~
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_22 = e0) & op(e3,
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_1 & op(e3, e1) = e3 & op(e1,
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | all_57_17) = all_57_16 & op(e1, all_57_19) =
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | all_57_18 & op(e1, all_57_21) = all_57_20 &
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_23) = all_57_22 & op(e1, e3) =
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e1, e2) = all_57_19 & op(e1, e1)
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | = all_57_21 & op(e1, e0) = all_57_23 &
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_16) & $i(all_57_17) &
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_19) & $i(all_57_20) &
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_22) & $i(all_57_23)) |
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_7 = e3 & ~ (all_57_1 = e0) & ~
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) & op(e3,
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_1 & op(e3, e0) = e3 & op(e0,
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | all_57_25) = all_57_24 & op(e0, all_57_27) =
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e0, all_57_29) = all_57_28 &
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_31) = all_57_30 & op(e0, e3) =
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_27 & op(e0, e1)
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | = all_57_29 & op(e0, e0) = all_57_31 &
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_24) & $i(all_57_25) &
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_27) & $i(all_57_28) &
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29) & $i(all_57_30) & $i(all_57_31)) |
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e2 & ~ (all_57_0 = e3) & ~ (all_57_2
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | = e2) & ~ (all_57_4 = e1) & ~ (all_57_6 =
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_11 = e3) & op(e3, all_57_1) =
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | all_57_0 & op(e3, all_57_3) = all_57_2 & op(e3,
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | all_57_5) = all_57_4 & op(e3, all_57_7) =
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | all_57_6 & op(e3, e3) = all_57_1 & op(e3, e2) =
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 & op(e3, e1) = all_57_5 & op(e3, e0) =
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | all_57_7 & op(e2, e3) = e2 & op(e2, e2) =
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | all_57_11 & $i(all_57_0) & $i(all_57_1) &
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_2) & $i(all_57_3) & $i(all_57_4) &
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11))
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9074) gives:
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | | (9075) (all_57_3 = e3 & ~ (all_57_1 = e2) & ~ (all_57_8
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_10 = e2) & ~ (all_57_12 =
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_14 = e0) & op(e3, e3) =
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e2) = e3 & op(e2, all_57_9) =
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_8 & op(e2, all_57_11) = all_57_10 &
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_13) = all_57_12 & op(e2,
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15) = all_57_14 & op(e2, e3) = all_57_9
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = all_57_11 & op(e2, e1) =
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_13 & op(e2, e0) = all_57_15 &
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_8) & $i(all_57_9) &
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & $i(all_57_11) & $i(all_57_12) &
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13) & $i(all_57_14) & $i(all_57_15)) |
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_5 = e3 & ~ (all_57_1 = e1) & ~
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_16 = e3) & ~ (all_57_18 = e2) & ~
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_22 = e0) & op(e3,
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_1 & op(e3, e1) = e3 & op(e1,
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17) = all_57_16 & op(e1, all_57_19) =
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_18 & op(e1, all_57_21) = all_57_20 &
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_23) = all_57_22 & op(e1, e3) =
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e1, e2) = all_57_19 & op(e1, e1)
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_21 & op(e1, e0) = all_57_23 &
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_16) & $i(all_57_17) &
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_19) & $i(all_57_20) &
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_22) & $i(all_57_23))
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (169), (9023), (9068), (9075), (function-axioms)
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1713.
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | | (9076) (all_57_7 = e3 & ~ (all_57_1 = e0) & ~
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) & op(e3,
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_1 & op(e3, e0) = e3 & op(e0,
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25) = all_57_24 & op(e0, all_57_27) =
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e0, all_57_29) = all_57_28 &
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_31) = all_57_30 & op(e0, e3) =
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_27 & op(e0, e1)
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_29 & op(e0, e0) = all_57_31 &
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_24) & $i(all_57_25) &
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_27) & $i(all_57_28) &
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29) & $i(all_57_30) & $i(all_57_31)) |
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e2 & ~ (all_57_0 = e3) & ~ (all_57_2
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | | = e2) & ~ (all_57_4 = e1) & ~ (all_57_6 =
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_11 = e3) & op(e3, all_57_1) =
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_0 & op(e3, all_57_3) = all_57_2 & op(e3,
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_5) = all_57_4 & op(e3, all_57_7) =
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_6 & op(e3, e3) = all_57_1 & op(e3, e2) =
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 & op(e3, e1) = all_57_5 & op(e3, e0) =
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7 & op(e2, e3) = e2 & op(e2, e2) =
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_11 & $i(all_57_0) & $i(all_57_1) &
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_2) & $i(all_57_3) & $i(all_57_4) &
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11))
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (168), (7529), (9073), (9076),
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | | #724.
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | (9077) (all_57_13 = e2 & ~ (all_57_11 = e1) & ~
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_16 = e3) & ~ (all_57_18 = e2) & ~
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_22 = e0) & op(e2,
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_11 & op(e2, e1) = e2 & op(e1,
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | all_57_17) = all_57_16 & op(e1, all_57_19) =
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | all_57_18 & op(e1, all_57_21) = all_57_20 &
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_23) = all_57_22 & op(e1, e3) =
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e1, e2) = all_57_19 & op(e1, e1)
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | = all_57_21 & op(e1, e0) = all_57_23 &
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_16) & $i(all_57_17) &
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_19) & $i(all_57_20) &
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_22) & $i(all_57_23)) |
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e2 & ~ (all_57_11 = e0) & ~
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) & op(e2,
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_11 & op(e2, e0) = e2 & op(e0,
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | all_57_25) = all_57_24 & op(e0, all_57_27) =
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e0, all_57_29) = all_57_28 &
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_31) = all_57_30 & op(e0, e3) =
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_27 & op(e0, e1)
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | = all_57_29 & op(e0, e0) = all_57_31 &
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_24) & $i(all_57_25) &
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_27) & $i(all_57_28) &
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29) & $i(all_57_30) & $i(all_57_31)) |
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_17 = e1 & ~ (all_57_0 = e3) & ~
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e2) & ~ (all_57_4 = e1) & ~
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_6 = e0) & ~ (all_57_21 = e3) & op(e3,
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | all_57_1) = all_57_0 & op(e3, all_57_3) =
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | all_57_2 & op(e3, all_57_5) = all_57_4 & op(e3,
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | all_57_7) = all_57_6 & op(e3, e3) = all_57_1 &
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_3 & op(e3, e1) = all_57_5 &
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_7 & op(e1, e3) = e1 & op(e1,
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_21 & $i(all_57_0) & $i(all_57_1)
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_2) & $i(all_57_3) & $i(all_57_4) &
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21)) | (all_57_19 = e1 & ~ (all_57_8
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_10 = e2) & ~ (all_57_12 =
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_14 = e0) & ~ (all_57_21 =
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | e2) & op(e2, all_57_9) = all_57_8 & op(e2,
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | all_57_11) = all_57_10 & op(e2, all_57_13) =
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & op(e2, all_57_15) = all_57_14 &
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_9 & op(e2, e2) = all_57_11 &
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_57_13 & op(e2, e0) = all_57_15
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e1 & op(e1, e1) = all_57_21 &
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8) & $i(all_57_9) & $i(all_57_10) &
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_12) & $i(all_57_13) &
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & $i(all_57_15) & $i(all_57_21)) |
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | (op(e0, e0) = all_57_31 & $i(all_57_31) &
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_23 = e1 & ~ (all_57_21 = e0) & ~
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) &
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_21 & op(e1, e0) = e1 &
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_25) = all_57_24 & op(e0,
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | all_57_27) = all_57_26 & op(e0, all_57_29)
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | = all_57_28 & op(e0, all_57_31) = all_57_30
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e3) = all_57_25 & op(e0, e2) =
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | all_57_27 & op(e0, e1) = all_57_29 &
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_24) &
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_25) & $i(all_57_26) &
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27) & $i(all_57_28) &
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29) & $i(all_57_30)) | (all_57_25
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | = e0 & ~ (all_57_0 = e3) & ~ (all_57_2 =
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_4 = e1) & ~ (all_57_6 =
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_31 = e3) & op(e3,
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | all_57_1) = all_57_0 & op(e3, all_57_3) =
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | all_57_2 & op(e3, all_57_5) = all_57_4 &
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | op(e3, all_57_7) = all_57_6 & op(e3, e3) =
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e2) = all_57_3 & op(e3,
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_5 & op(e3, e0) = all_57_7 &
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_0) &
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_2) & $i(all_57_3) &
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4) & $i(all_57_5) & $i(all_57_6) &
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7)) | (all_57_27 = e0 & ~
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e3) & ~ (all_57_10 = e2) & ~
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e1) & ~ (all_57_14 = e0) & ~
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e2) & op(e2, all_57_9) =
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | all_57_8 & op(e2, all_57_11) = all_57_10 &
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_13) = all_57_12 & op(e2,
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | all_57_15) = all_57_14 & op(e2, e3) =
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | all_57_9 & op(e2, e2) = all_57_11 & op(e2,
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_13 & op(e2, e0) = all_57_15 &
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_8) &
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9) & $i(all_57_10) & $i(all_57_11)
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_12) & $i(all_57_13) &
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & $i(all_57_15)) | (all_57_29
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | = e0 & ~ (all_57_16 = e3) & ~ (all_57_18 =
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_20 = e1) & ~ (all_57_22
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_31 = e1) & op(e1,
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | all_57_17) = all_57_16 & op(e1, all_57_19)
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | = all_57_18 & op(e1, all_57_21) = all_57_20
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, all_57_23) = all_57_22 & op(e1, e3)
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | = all_57_17 & op(e1, e2) = all_57_19 &
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_21 & op(e1, e0) =
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | all_57_23 & op(e0, e1) = e0 & $i(all_57_16)
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_17) & $i(all_57_18) &
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_20) &
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_22) &
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23))))
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9077) gives:
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | | (9078) (all_57_13 = e2 & ~ (all_57_11 = e1) & ~
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_16 = e3) & ~ (all_57_18 = e2) & ~
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_22 = e0) & op(e2,
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_11 & op(e2, e1) = e2 & op(e1,
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17) = all_57_16 & op(e1, all_57_19) =
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_18 & op(e1, all_57_21) = all_57_20 &
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_23) = all_57_22 & op(e1, e3) =
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e1, e2) = all_57_19 & op(e1, e1)
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_21 & op(e1, e0) = all_57_23 &
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_16) & $i(all_57_17) &
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_19) & $i(all_57_20) &
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_22) & $i(all_57_23)) |
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e2 & ~ (all_57_11 = e0) & ~
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) & op(e2,
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_11 & op(e2, e0) = e2 & op(e0,
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25) = all_57_24 & op(e0, all_57_27) =
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e0, all_57_29) = all_57_28 &
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_31) = all_57_30 & op(e0, e3) =
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_27 & op(e0, e1)
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_29 & op(e0, e0) = all_57_31 &
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_24) & $i(all_57_25) &
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_27) & $i(all_57_28) &
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29) & $i(all_57_30) & $i(all_57_31))
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (165), (9060), (9061), (9078),
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | | #1940.
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | | (9079) (all_57_17 = e1 & ~ (all_57_0 = e3) & ~
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e2) & ~ (all_57_4 = e1) & ~
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_6 = e0) & ~ (all_57_21 = e3) & op(e3,
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1) = all_57_0 & op(e3, all_57_3) =
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_2 & op(e3, all_57_5) = all_57_4 & op(e3,
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7) = all_57_6 & op(e3, e3) = all_57_1 &
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_3 & op(e3, e1) = all_57_5 &
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_7 & op(e1, e3) = e1 & op(e1,
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_21 & $i(all_57_0) & $i(all_57_1)
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_2) & $i(all_57_3) & $i(all_57_4) &
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21)) | (all_57_19 = e1 & ~ (all_57_8
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_10 = e2) & ~ (all_57_12 =
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_14 = e0) & ~ (all_57_21 =
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | | e2) & op(e2, all_57_9) = all_57_8 & op(e2,
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_11) = all_57_10 & op(e2, all_57_13) =
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & op(e2, all_57_15) = all_57_14 &
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_9 & op(e2, e2) = all_57_11 &
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_57_13 & op(e2, e0) = all_57_15
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e1 & op(e1, e1) = all_57_21 &
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8) & $i(all_57_9) & $i(all_57_10) &
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_12) & $i(all_57_13) &
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & $i(all_57_15) & $i(all_57_21)) |
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | | (op(e0, e0) = all_57_31 & $i(all_57_31) &
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_23 = e1 & ~ (all_57_21 = e0) & ~
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) &
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_21 & op(e1, e0) = e1 &
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_25) = all_57_24 & op(e0,
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27) = all_57_26 & op(e0, all_57_29)
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_28 & op(e0, all_57_31) = all_57_30
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e3) = all_57_25 & op(e0, e2) =
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27 & op(e0, e1) = all_57_29 &
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_24) &
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_25) & $i(all_57_26) &
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27) & $i(all_57_28) &
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29) & $i(all_57_30)) | (all_57_25
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & ~ (all_57_0 = e3) & ~ (all_57_2 =
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_4 = e1) & ~ (all_57_6 =
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_31 = e3) & op(e3,
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1) = all_57_0 & op(e3, all_57_3) =
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_2 & op(e3, all_57_5) = all_57_4 &
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, all_57_7) = all_57_6 & op(e3, e3) =
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e2) = all_57_3 & op(e3,
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_5 & op(e3, e0) = all_57_7 &
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_0) &
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_2) & $i(all_57_3) &
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4) & $i(all_57_5) & $i(all_57_6) &
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7)) | (all_57_27 = e0 & ~
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e3) & ~ (all_57_10 = e2) & ~
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e1) & ~ (all_57_14 = e0) & ~
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e2) & op(e2, all_57_9) =
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_8 & op(e2, all_57_11) = all_57_10 &
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_13) = all_57_12 & op(e2,
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15) = all_57_14 & op(e2, e3) =
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_9 & op(e2, e2) = all_57_11 & op(e2,
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_13 & op(e2, e0) = all_57_15 &
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_8) &
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9) & $i(all_57_10) & $i(all_57_11)
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_12) & $i(all_57_13) &
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & $i(all_57_15)) | (all_57_29
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & ~ (all_57_16 = e3) & ~ (all_57_18 =
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_20 = e1) & ~ (all_57_22
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_31 = e1) & op(e1,
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17) = all_57_16 & op(e1, all_57_19)
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_18 & op(e1, all_57_21) = all_57_20
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, all_57_23) = all_57_22 & op(e1, e3)
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_17 & op(e1, e2) = all_57_19 &
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_21 & op(e1, e0) =
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23 & op(e0, e1) = e0 & $i(all_57_16)
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_17) & $i(all_57_18) &
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_20) &
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_22) &
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23))))
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9079) gives:
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | | | (9080) all_57_17 = e1 & ~ (all_57_0 = e3) & ~ (all_57_2
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | | | = e2) & ~ (all_57_4 = e1) & ~ (all_57_6 = e0)
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_21 = e3) & op(e3, all_57_1) =
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_0 & op(e3, all_57_3) = all_57_2 & op(e3,
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_5) = all_57_4 & op(e3, all_57_7) =
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_6 & op(e3, e3) = all_57_1 & op(e3, e2) =
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 & op(e3, e1) = all_57_5 & op(e3, e0) =
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7 & op(e1, e3) = e1 & op(e1, e1) =
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_21 & $i(all_57_0) & $i(all_57_1) &
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_2) & $i(all_57_3) & $i(all_57_4) &
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21)
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9070), (9080), (function-axioms) are inconsistent
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1926.
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | | | (9081) (all_57_19 = e1 & ~ (all_57_8 = e3) & ~
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e2) & ~ (all_57_12 = e1) & ~
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e0) & ~ (all_57_21 = e2) & op(e2,
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_9) = all_57_8 & op(e2, all_57_11) =
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e2, all_57_13) = all_57_12 &
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_15) = all_57_14 & op(e2, e3) =
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_9 & op(e2, e2) = all_57_11 & op(e2, e1) =
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_13 & op(e2, e0) = all_57_15 & op(e1, e2)
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & op(e1, e1) = all_57_21 & $i(all_57_8) &
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9) & $i(all_57_10) & $i(all_57_11) &
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & $i(all_57_13) & $i(all_57_14) &
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & $i(all_57_21)) | (op(e0, e0) =
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_31 & $i(all_57_31) & ((all_57_23 = e1 &
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_21 = e0) & ~ (all_57_24 = e3) &
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_26 = e2) & ~ (all_57_28 = e1) &
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_30 = e0) & op(e1, e1) = all_57_21
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e0) = e1 & op(e0, all_57_25) =
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_24 & op(e0, all_57_27) = all_57_26 &
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_29) = all_57_28 & op(e0,
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_31) = all_57_30 & op(e0, e3) =
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_27 & op(e0,
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_29 & $i(all_57_21) &
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_24) & $i(all_57_25) &
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_27) &
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28) & $i(all_57_29) &
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_25 = e0 & ~
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_0 = e3) & ~ (all_57_2 = e2) & ~
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1) & ~ (all_57_6 = e0) & ~
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e3) & op(e3, all_57_1) =
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_0 & op(e3, all_57_3) = all_57_2 &
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, all_57_5) = all_57_4 & op(e3,
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7) = all_57_6 & op(e3, e3) =
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e2) = all_57_3 & op(e3,
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_5 & op(e3, e0) = all_57_7 &
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_0) &
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_2) & $i(all_57_3) &
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4) & $i(all_57_5) & $i(all_57_6) &
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7)) | (all_57_27 = e0 & ~
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e3) & ~ (all_57_10 = e2) & ~
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e1) & ~ (all_57_14 = e0) & ~
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e2) & op(e2, all_57_9) =
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_8 & op(e2, all_57_11) = all_57_10 &
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_13) = all_57_12 & op(e2,
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15) = all_57_14 & op(e2, e3) =
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_9 & op(e2, e2) = all_57_11 & op(e2,
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_13 & op(e2, e0) = all_57_15 &
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_8) &
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9) & $i(all_57_10) & $i(all_57_11)
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_12) & $i(all_57_13) &
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & $i(all_57_15)) | (all_57_29
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & ~ (all_57_16 = e3) & ~ (all_57_18 =
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_20 = e1) & ~ (all_57_22
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_31 = e1) & op(e1,
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17) = all_57_16 & op(e1, all_57_19)
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_18 & op(e1, all_57_21) = all_57_20
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, all_57_23) = all_57_22 & op(e1, e3)
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_17 & op(e1, e2) = all_57_19 &
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_21 & op(e1, e0) =
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23 & op(e0, e1) = e0 & $i(all_57_16)
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_17) & $i(all_57_18) &
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_20) &
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_22) &
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23))))
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9081) gives:
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | (9082) all_57_19 = e1 & ~ (all_57_8 = e3) & ~
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e2) & ~ (all_57_12 = e1) & ~
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e0) & ~ (all_57_21 = e2) & op(e2,
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_9) = all_57_8 & op(e2, all_57_11) =
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e2, all_57_13) = all_57_12 & op(e2,
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15) = all_57_14 & op(e2, e3) = all_57_9 &
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_11 & op(e2, e1) = all_57_13 &
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_15 & op(e1, e2) = e1 & op(e1,
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_21 & $i(all_57_8) & $i(all_57_9) &
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & $i(all_57_11) & $i(all_57_12) &
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13) & $i(all_57_14) & $i(all_57_15) &
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21)
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9082) implies:
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | (9083) ~ (all_57_10 = e2)
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | (9084) op(e2, e2) = all_57_11
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | (9085) op(e2, all_57_11) = all_57_10
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (158), (162), (170), (227), (9012), (9042),
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | (9043), (9083), (9084), (9085), (function-axioms)
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1967.
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | (9086) op(e0, e0) = all_57_31 & $i(all_57_31) &
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_23 = e1 & ~ (all_57_21 = e0) & ~
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) &
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_21 & op(e1, e0) = e1 &
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_25) = all_57_24 & op(e0,
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27) = all_57_26 & op(e0, all_57_29) =
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_28 & op(e0, all_57_31) = all_57_30 &
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_25 & op(e0, e2) =
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27 & op(e0, e1) = all_57_29 &
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_24) & $i(all_57_25)
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_26) & $i(all_57_27) &
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28) & $i(all_57_29) & $i(all_57_30))
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_25 = e0 & ~ (all_57_0 = e3) & ~
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e2) & ~ (all_57_4 = e1) & ~
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_6 = e0) & ~ (all_57_31 = e3) & op(e3,
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1) = all_57_0 & op(e3, all_57_3) =
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_2 & op(e3, all_57_5) = all_57_4 &
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, all_57_7) = all_57_6 & op(e3, e3) =
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e2) = all_57_3 & op(e3, e1)
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_5 & op(e3, e0) = all_57_7 & op(e0,
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e0 & $i(all_57_0) & $i(all_57_1) &
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_2) & $i(all_57_3) & $i(all_57_4) &
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_6) & $i(all_57_7)) |
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_27 = e0 & ~ (all_57_8 = e3) & ~
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e2) & ~ (all_57_12 = e1) & ~
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e0) & ~ (all_57_31 = e2) &
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_9) = all_57_8 & op(e2,
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_11) = all_57_10 & op(e2, all_57_13) =
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & op(e2, all_57_15) = all_57_14 &
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_9 & op(e2, e2) = all_57_11
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = all_57_13 & op(e2, e0) =
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15 & op(e0, e2) = e0 & $i(all_57_8) &
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9) & $i(all_57_10) & $i(all_57_11) &
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & $i(all_57_13) & $i(all_57_14)
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_15)) | (all_57_29 = e0 & ~
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_16 = e3) & ~ (all_57_18 = e2) & ~
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_22 = e0) & ~
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e1) & op(e1, all_57_17) =
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_16 & op(e1, all_57_19) = all_57_18 &
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_21) = all_57_20 & op(e1,
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23) = all_57_22 & op(e1, e3) =
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e1, e2) = all_57_19 & op(e1,
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_21 & op(e1, e0) = all_57_23 &
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_16) &
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_17) & $i(all_57_18) & $i(all_57_19)
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_20) & $i(all_57_21) &
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_23)))
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9086) implies:
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | (9087) op(e0, e0) = all_57_31
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | (9088) (all_57_23 = e1 & ~ (all_57_21 = e0) & ~
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) & op(e1,
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_21 & op(e1, e0) = e1 & op(e0,
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25) = all_57_24 & op(e0, all_57_27) =
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e0, all_57_29) = all_57_28 &
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_31) = all_57_30 & op(e0, e3) =
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_27 & op(e0, e1)
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_29 & $i(all_57_21) & $i(all_57_24) &
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_25) & $i(all_57_26) & $i(all_57_27) &
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28) & $i(all_57_29) & $i(all_57_30)) |
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_25 = e0 & ~ (all_57_0 = e3) & ~
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e2) & ~ (all_57_4 = e1) & ~
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_6 = e0) & ~ (all_57_31 = e3) & op(e3,
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1) = all_57_0 & op(e3, all_57_3) =
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_2 & op(e3, all_57_5) = all_57_4 & op(e3,
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7) = all_57_6 & op(e3, e3) = all_57_1 &
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_3 & op(e3, e1) = all_57_5 &
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_7 & op(e0, e3) = e0 &
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_0) & $i(all_57_1) & $i(all_57_2) &
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_3) & $i(all_57_4) & $i(all_57_5) &
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_6) & $i(all_57_7)) | (all_57_27 = e0 &
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_8 = e3) & ~ (all_57_10 = e2) & ~
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e1) & ~ (all_57_14 = e0) & ~
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e2) & op(e2, all_57_9) = all_57_8 &
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_11) = all_57_10 & op(e2,
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_13) = all_57_12 & op(e2, all_57_15) =
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_14 & op(e2, e3) = all_57_9 & op(e2, e2) =
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_11 & op(e2, e1) = all_57_13 & op(e2, e0)
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_15 & op(e0, e2) = e0 & $i(all_57_8) &
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9) & $i(all_57_10) & $i(all_57_11) &
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & $i(all_57_13) & $i(all_57_14) &
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15)) | (all_57_29 = e0 & ~ (all_57_16
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_18 = e2) & ~ (all_57_20 =
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_22 = e0) & ~ (all_57_31 =
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & op(e1, all_57_17) = all_57_16 & op(e1,
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_19) = all_57_18 & op(e1, all_57_21) =
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20 & op(e1, all_57_23) = all_57_22 &
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_17 & op(e1, e2) = all_57_19
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = all_57_21 & op(e1, e0) =
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23 & op(e0, e1) = e0 & $i(all_57_16) &
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_17) & $i(all_57_18) & $i(all_57_19) &
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_20) & $i(all_57_21) & $i(all_57_22) &
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23))
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9088) gives:
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9089) (all_57_23 = e1 & ~ (all_57_21 = e0) & ~
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) & op(e1,
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_21 & op(e1, e0) = e1 & op(e0,
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25) = all_57_24 & op(e0, all_57_27) =
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e0, all_57_29) = all_57_28 &
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_31) = all_57_30 & op(e0, e3) =
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_27 & op(e0, e1)
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_29 & $i(all_57_21) & $i(all_57_24) &
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_25) & $i(all_57_26) & $i(all_57_27) &
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28) & $i(all_57_29) & $i(all_57_30)) |
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_25 = e0 & ~ (all_57_0 = e3) & ~
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e2) & ~ (all_57_4 = e1) & ~
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_6 = e0) & ~ (all_57_31 = e3) & op(e3,
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1) = all_57_0 & op(e3, all_57_3) =
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_2 & op(e3, all_57_5) = all_57_4 & op(e3,
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7) = all_57_6 & op(e3, e3) = all_57_1 &
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_3 & op(e3, e1) = all_57_5 &
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_7 & op(e0, e3) = e0 &
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_0) & $i(all_57_1) & $i(all_57_2) &
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_3) & $i(all_57_4) & $i(all_57_5) &
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_6) & $i(all_57_7))
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (7532), (9051), (9087), (9089),
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | #880.
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9090) (all_57_27 = e0 & ~ (all_57_8 = e3) & ~
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e2) & ~ (all_57_12 = e1) & ~
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e0) & ~ (all_57_31 = e2) & op(e2,
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_9) = all_57_8 & op(e2, all_57_11) =
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e2, all_57_13) = all_57_12 &
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_15) = all_57_14 & op(e2, e3) =
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_9 & op(e2, e2) = all_57_11 & op(e2, e1) =
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_13 & op(e2, e0) = all_57_15 & op(e0, e2)
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & $i(all_57_8) & $i(all_57_9) &
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & $i(all_57_11) & $i(all_57_12) &
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13) & $i(all_57_14) & $i(all_57_15)) |
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_29 = e0 & ~ (all_57_16 = e3) & ~
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_18 = e2) & ~ (all_57_20 = e1) & ~
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_22 = e0) & ~ (all_57_31 = e1) & op(e1,
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17) = all_57_16 & op(e1, all_57_19) =
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_18 & op(e1, all_57_21) = all_57_20 &
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_23) = all_57_22 & op(e1, e3) =
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e1, e2) = all_57_19 & op(e1, e1)
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_21 & op(e1, e0) = all_57_23 & op(e0,
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0 & $i(all_57_16) & $i(all_57_17) &
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_19) & $i(all_57_20) &
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_22) & $i(all_57_23))
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9090) gives:
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9091) all_57_27 = e0 & ~ (all_57_8 = e3) & ~
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e2) & ~ (all_57_12 = e1) & ~
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e0) & ~ (all_57_31 = e2) & op(e2,
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_9) = all_57_8 & op(e2, all_57_11) =
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e2, all_57_13) = all_57_12 & op(e2,
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15) = all_57_14 & op(e2, e3) = all_57_9 &
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_11 & op(e2, e1) = all_57_13 &
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_15 & op(e0, e2) = e0 &
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8) & $i(all_57_9) & $i(all_57_10) &
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_12) & $i(all_57_13) &
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & $i(all_57_15)
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9091) implies:
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9092) ~ (all_57_10 = e2)
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9093) op(e2, e2) = all_57_11
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9094) op(e2, all_57_11) = all_57_10
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (158), (162), (170), (227), (9012), (9042),
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9043), (9092), (9093), (9094), (function-axioms)
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1967.
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 198.57/31.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9095) all_57_29 = e0 & ~ (all_57_16 = e3) & ~
% 198.57/31.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_18 = e2) & ~ (all_57_20 = e1) & ~
% 198.57/31.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_22 = e0) & ~ (all_57_31 = e1) & op(e1,
% 198.57/31.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17) = all_57_16 & op(e1, all_57_19) =
% 198.57/31.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_18 & op(e1, all_57_21) = all_57_20 & op(e1,
% 198.57/31.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23) = all_57_22 & op(e1, e3) = all_57_17
% 198.57/31.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = all_57_19 & op(e1, e1) = all_57_21
% 198.57/31.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e0) = all_57_23 & op(e0, e1) = e0 &
% 198.57/31.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_16) & $i(all_57_17) & $i(all_57_18) &
% 198.57/31.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_20) & $i(all_57_21) &
% 198.57/31.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_23)
% 198.57/31.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9095) implies:
% 198.57/31.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9096) op(e0, e1) = e0
% 198.57/31.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (9057), (9096), (function-axioms) are
% 198.57/31.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1712.
% 198.57/31.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 198.57/31.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 198.57/31.75 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.75 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 198.57/31.75 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.75 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 198.57/31.75 | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.75 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 198.57/31.75 | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.75 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 198.57/31.75 | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.75 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 198.57/31.75 | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.75 | | | | | | | | | | | | | | | | | | | | | | | (9097) all_56_3 = e3 & op(e2, e2) = e3
% 198.57/31.75 | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.75 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9097) implies:
% 198.57/31.75 | | | | | | | | | | | | | | | | | | | | | | | (9098) op(e2, e2) = e3
% 198.57/31.75 | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.75 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (9045), (9098), (function-axioms) are
% 198.57/31.75 | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1963.
% 198.57/31.75 | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.75 | | | | | | | | | | | | | | | | | | | | | | End of split
% 198.57/31.75 | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.75 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 198.57/31.75 | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.75 | | | | | | | | | | | | | | | | | | | | | | (9099) (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 =
% 198.57/31.75 | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e0) = e3)
% 198.57/31.75 | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.75 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (165), (7530), (9069), (9099),
% 198.57/31.75 | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 198.57/31.75 | | | | | | | | | | | | | | | | | | | | | | #1658.
% 198.57/31.75 | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.75 | | | | | | | | | | | | | | | | | | | | | End of split
% 198.57/31.75 | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.75 | | | | | | | | | | | | | | | | | | | | End of split
% 198.57/31.75 | | | | | | | | | | | | | | | | | | | |
% 198.57/31.75 | | | | | | | | | | | | | | | | | | | Case 2:
% 198.57/31.75 | | | | | | | | | | | | | | | | | | | |
% 198.57/31.75 | | | | | | | | | | | | | | | | | | | | (9100) all_56_15 = e2 & op(e0, e0) = e2
% 198.57/31.75 | | | | | | | | | | | | | | | | | | | |
% 198.57/31.75 | | | | | | | | | | | | | | | | | | | | ALPHA: (9100) implies:
% 198.57/31.75 | | | | | | | | | | | | | | | | | | | | (9101) op(e0, e0) = e2
% 198.57/31.75 | | | | | | | | | | | | | | | | | | | |
% 198.57/31.75 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (7532), (9101), (function-axioms) are
% 198.57/31.75 | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1838.
% 198.57/31.75 | | | | | | | | | | | | | | | | | | | |
% 198.57/31.75 | | | | | | | | | | | | | | | | | | | End of split
% 198.57/31.75 | | | | | | | | | | | | | | | | | | |
% 198.57/31.75 | | | | | | | | | | | | | | | | | | End of split
% 198.57/31.75 | | | | | | | | | | | | | | | | | |
% 198.57/31.75 | | | | | | | | | | | | | | | | | End of split
% 198.57/31.75 | | | | | | | | | | | | | | | | |
% 198.57/31.75 | | | | | | | | | | | | | | | | End of split
% 198.57/31.75 | | | | | | | | | | | | | | | |
% 198.57/31.75 | | | | | | | | | | | | | | | Case 2:
% 198.57/31.75 | | | | | | | | | | | | | | | |
% 198.57/31.75 | | | | | | | | | | | | | | | | (9102) all_54_5 = e1 | all_54_5 = e0
% 198.57/31.75 | | | | | | | | | | | | | | | |
% 198.57/31.75 | | | | | | | | | | | | | | | | REF_CLOSE: (268), (373), (9035), (9102) are inconsistent by
% 198.57/31.75 | | | | | | | | | | | | | | | | sub-proof #1517.
% 198.57/31.75 | | | | | | | | | | | | | | | |
% 198.57/31.75 | | | | | | | | | | | | | | | End of split
% 198.57/31.75 | | | | | | | | | | | | | | |
% 198.57/31.75 | | | | | | | | | | | | | | End of split
% 198.57/31.75 | | | | | | | | | | | | | |
% 198.57/31.75 | | | | | | | | | | | | | Case 2:
% 198.57/31.75 | | | | | | | | | | | | | |
% 198.57/31.75 | | | | | | | | | | | | | | (9103) all_20_2 = e0
% 198.57/31.75 | | | | | | | | | | | | | | (9104) op(e0, e2) = all_20_1 & $i(all_20_1) & ( ~
% 198.57/31.75 | | | | | | | | | | | | | | (all_20_1 = e3) | ( ~ (all_20_0 = e1) & op(e3,
% 198.57/31.75 | | | | | | | | | | | | | | e0) = all_20_0 & $i(all_20_0)))
% 198.57/31.75 | | | | | | | | | | | | | |
% 198.57/31.75 | | | | | | | | | | | | | | ALPHA: (9104) implies:
% 198.57/31.75 | | | | | | | | | | | | | | (9105) op(e0, e2) = all_20_1
% 198.57/31.75 | | | | | | | | | | | | | |
% 198.57/31.75 | | | | | | | | | | | | | | COMBINE_EQS: (283), (9103) imply:
% 198.57/31.75 | | | | | | | | | | | | | | (9106) all_6_2 = e0
% 198.57/31.75 | | | | | | | | | | | | | |
% 198.57/31.75 | | | | | | | | | | | | | | SIMP: (9106) implies:
% 198.57/31.75 | | | | | | | | | | | | | | (9107) all_6_2 = e0
% 198.57/31.75 | | | | | | | | | | | | | |
% 198.57/31.75 | | | | | | | | | | | | | | COMBINE_EQS: (331), (9107) imply:
% 198.57/31.75 | | | | | | | | | | | | | | (9108) all_26_2 = e0
% 198.57/31.75 | | | | | | | | | | | | | |
% 198.57/31.75 | | | | | | | | | | | | | | REDUCE: (353), (9107) imply:
% 198.57/31.75 | | | | | | | | | | | | | | (9109) ~ (all_52_6 = e0)
% 198.57/31.75 | | | | | | | | | | | | | |
% 198.57/31.75 | | | | | | | | | | | | | | REDUCE: (355), (9107) imply:
% 198.57/31.75 | | | | | | | | | | | | | | (9110) ~ (all_52_7 = e0)
% 198.57/31.75 | | | | | | | | | | | | | |
% 198.57/31.75 | | | | | | | | | | | | | | REDUCE: (359), (9107) imply:
% 198.57/31.75 | | | | | | | | | | | | | | (9111) ~ (all_52_13 = e0)
% 198.57/31.75 | | | | | | | | | | | | | |
% 198.57/31.75 | | | | | | | | | | | | | | REDUCE: (9030), (9107) imply:
% 198.57/31.75 | | | | | | | | | | | | | | (9112) ~ (all_14_1 = e0)
% 198.57/31.75 | | | | | | | | | | | | | |
% 198.57/31.75 | | | | | | | | | | | | | | REDUCE: (373), (9107) imply:
% 198.57/31.75 | | | | | | | | | | | | | | (9113) ~ (e1 = e0)
% 198.57/31.75 | | | | | | | | | | | | | |
% 198.57/31.75 | | | | | | | | | | | | | | REDUCE: (39), (9107) imply:
% 198.57/31.75 | | | | | | | | | | | | | | (9114) op(e2, e2) = e0
% 198.57/31.75 | | | | | | | | | | | | | |
% 198.57/31.75 | | | | | | | | | | | | | | BETA: splitting (70) gives:
% 198.57/31.75 | | | | | | | | | | | | | |
% 198.57/31.75 | | | | | | | | | | | | | | Case 1:
% 198.57/31.75 | | | | | | | | | | | | | | |
% 198.57/31.75 | | | | | | | | | | | | | | | (9115) ~ (all_26_2 = e0)
% 198.57/31.75 | | | | | | | | | | | | | | |
% 198.57/31.75 | | | | | | | | | | | | | | | REDUCE: (9108), (9115) imply:
% 198.57/31.75 | | | | | | | | | | | | | | | (9116) $false
% 198.57/31.75 | | | | | | | | | | | | | | |
% 198.57/31.75 | | | | | | | | | | | | | | | CLOSE: (9116) is inconsistent.
% 198.57/31.75 | | | | | | | | | | | | | | |
% 198.57/31.75 | | | | | | | | | | | | | | Case 2:
% 198.57/31.75 | | | | | | | | | | | | | | |
% 198.57/31.75 | | | | | | | | | | | | | | | (9117) op(e0, e2) = all_26_1 & $i(all_26_1) & ( ~
% 198.57/31.75 | | | | | | | | | | | | | | | (all_26_1 = e1) | ( ~ (all_26_0 = e3) & op(e1,
% 198.57/31.75 | | | | | | | | | | | | | | | e0) = all_26_0 & $i(all_26_0)))
% 198.57/31.75 | | | | | | | | | | | | | | |
% 198.57/31.75 | | | | | | | | | | | | | | | ALPHA: (9117) implies:
% 198.57/31.75 | | | | | | | | | | | | | | | (9118) op(e0, e2) = all_26_1
% 198.57/31.75 | | | | | | | | | | | | | | |
% 198.57/31.75 | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_7,
% 198.57/31.75 | | | | | | | | | | | | | | | all_20_1, e2, e0, simplifying with (158), (9105)
% 198.57/31.75 | | | | | | | | | | | | | | | gives:
% 198.57/31.75 | | | | | | | | | | | | | | | (9119) all_52_7 = all_20_1
% 198.57/31.75 | | | | | | | | | | | | | | |
% 198.57/31.75 | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_7,
% 198.57/31.75 | | | | | | | | | | | | | | | all_26_1, e2, e0, simplifying with (158), (9118)
% 198.57/31.75 | | | | | | | | | | | | | | | gives:
% 198.57/31.75 | | | | | | | | | | | | | | | (9120) all_52_7 = all_26_1
% 198.57/31.75 | | | | | | | | | | | | | | |
% 198.57/31.75 | | | | | | | | | | | | | | | COMBINE_EQS: (9119), (9120) imply:
% 198.57/31.75 | | | | | | | | | | | | | | | (9121) all_26_1 = all_20_1
% 198.57/31.75 | | | | | | | | | | | | | | |
% 198.57/31.75 | | | | | | | | | | | | | | | SIMP: (9121) implies:
% 198.57/31.75 | | | | | | | | | | | | | | | (9122) all_26_1 = all_20_1
% 198.57/31.75 | | | | | | | | | | | | | | |
% 198.57/31.75 | | | | | | | | | | | | | | | COMBINE_EQS: (248), (9119) imply:
% 198.57/31.75 | | | | | | | | | | | | | | | (9123) all_54_13 = all_20_1
% 198.57/31.75 | | | | | | | | | | | | | | |
% 198.57/31.75 | | | | | | | | | | | | | | | REDUCE: (135), (9119) imply:
% 198.57/31.75 | | | | | | | | | | | | | | | (9124) ~ (all_52_4 = all_20_1)
% 198.57/31.75 | | | | | | | | | | | | | | |
% 198.57/31.75 | | | | | | | | | | | | | | | REDUCE: (128), (9119) imply:
% 198.57/31.75 | | | | | | | | | | | | | | | (9125) ~ (all_52_6 = all_20_1)
% 198.57/31.75 | | | | | | | | | | | | | | |
% 198.57/31.75 | | | | | | | | | | | | | | | REDUCE: (9110), (9119) imply:
% 198.57/31.75 | | | | | | | | | | | | | | | (9126) ~ (all_20_1 = e0)
% 198.57/31.75 | | | | | | | | | | | | | | |
% 198.57/31.75 | | | | | | | | | | | | | | | BETA: splitting (79) gives:
% 198.57/31.75 | | | | | | | | | | | | | | |
% 198.57/31.75 | | | | | | | | | | | | | | | Case 1:
% 198.57/31.75 | | | | | | | | | | | | | | | |
% 198.57/31.75 | | | | | | | | | | | | | | | | (9127) ~ (all_32_2 = e3)
% 198.57/31.75 | | | | | | | | | | | | | | | |
% 198.57/31.75 | | | | | | | | | | | | | | | | REDUCE: (301), (9127) imply:
% 198.57/31.75 | | | | | | | | | | | | | | | | (9128) ~ (all_4_2 = e3)
% 198.57/31.75 | | | | | | | | | | | | | | | |
% 198.57/31.75 | | | | | | | | | | | | | | | | BETA: splitting (194) gives:
% 198.57/31.75 | | | | | | | | | | | | | | | |
% 198.57/31.75 | | | | | | | | | | | | | | | | Case 1:
% 198.57/31.75 | | | | | | | | | | | | | | | | |
% 198.57/31.75 | | | | | | | | | | | | | | | | | (9129) all_54_10 = e3
% 198.57/31.75 | | | | | | | | | | | | | | | | |
% 198.57/31.75 | | | | | | | | | | | | | | | | | REF_CLOSE: (335), (9128), (9129) are inconsistent by
% 198.57/31.75 | | | | | | | | | | | | | | | | | sub-proof #1974.
% 198.57/31.75 | | | | | | | | | | | | | | | | |
% 198.57/31.75 | | | | | | | | | | | | | | | | Case 2:
% 198.57/31.75 | | | | | | | | | | | | | | | | |
% 198.57/31.75 | | | | | | | | | | | | | | | | | (9130) all_54_10 = e2 | all_54_10 = e1 | all_54_10 = e0
% 198.57/31.75 | | | | | | | | | | | | | | | | |
% 198.57/31.75 | | | | | | | | | | | | | | | | | BETA: splitting (9130) gives:
% 198.57/31.75 | | | | | | | | | | | | | | | | |
% 198.57/31.75 | | | | | | | | | | | | | | | | | Case 1:
% 198.57/31.75 | | | | | | | | | | | | | | | | | |
% 198.57/31.75 | | | | | | | | | | | | | | | | | | (9131) all_54_10 = e2
% 198.57/31.75 | | | | | | | | | | | | | | | | | |
% 198.57/31.75 | | | | | | | | | | | | | | | | | | REF_CLOSE: (335), (375), (9131) are inconsistent by sub-proof
% 198.57/31.75 | | | | | | | | | | | | | | | | | | #1973.
% 198.57/31.75 | | | | | | | | | | | | | | | | | |
% 198.57/31.75 | | | | | | | | | | | | | | | | | Case 2:
% 198.57/31.75 | | | | | | | | | | | | | | | | | |
% 198.57/31.75 | | | | | | | | | | | | | | | | | | (9132) all_54_10 = e1 | all_54_10 = e0
% 198.57/31.75 | | | | | | | | | | | | | | | | | |
% 198.57/31.75 | | | | | | | | | | | | | | | | | | BETA: splitting (9132) gives:
% 198.57/31.75 | | | | | | | | | | | | | | | | | |
% 198.57/31.75 | | | | | | | | | | | | | | | | | | Case 1:
% 198.57/31.75 | | | | | | | | | | | | | | | | | | |
% 198.57/31.75 | | | | | | | | | | | | | | | | | | | (9133) all_54_10 = e1
% 198.57/31.75 | | | | | | | | | | | | | | | | | | |
% 198.57/31.75 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (335), (9133) imply:
% 198.57/31.75 | | | | | | | | | | | | | | | | | | | (9134) all_4_2 = e1
% 198.57/31.75 | | | | | | | | | | | | | | | | | | |
% 198.57/31.75 | | | | | | | | | | | | | | | | | | | SIMP: (9134) implies:
% 198.57/31.75 | | | | | | | | | | | | | | | | | | | (9135) all_4_2 = e1
% 198.57/31.75 | | | | | | | | | | | | | | | | | | |
% 198.57/31.75 | | | | | | | | | | | | | | | | | | | REDUCE: (349), (9135) imply:
% 198.57/31.75 | | | | | | | | | | | | | | | | | | | (9136) ~ (all_52_2 = e1)
% 198.57/31.75 | | | | | | | | | | | | | | | | | | |
% 198.57/31.75 | | | | | | | | | | | | | | | | | | | REDUCE: (360), (9135) imply:
% 198.57/31.75 | | | | | | | | | | | | | | | | | | | (9137) ~ (all_52_6 = e1)
% 198.57/31.75 | | | | | | | | | | | | | | | | | | |
% 198.57/31.75 | | | | | | | | | | | | | | | | | | | REDUCE: (367), (9135) imply:
% 198.57/31.75 | | | | | | | | | | | | | | | | | | | (9138) ~ (all_52_14 = e1)
% 198.57/31.75 | | | | | | | | | | | | | | | | | | |
% 198.57/31.75 | | | | | | | | | | | | | | | | | | | REDUCE: (36), (9135) imply:
% 198.57/31.75 | | | | | | | | | | | | | | | | | | | (9139) op(e1, e1) = e1
% 198.57/31.75 | | | | | | | | | | | | | | | | | | |
% 198.57/31.75 | | | | | | | | | | | | | | | | | | | BETA: splitting (238) gives:
% 198.57/31.75 | | | | | | | | | | | | | | | | | | |
% 198.57/31.75 | | | | | | | | | | | | | | | | | | | Case 1:
% 198.57/31.75 | | | | | | | | | | | | | | | | | | | |
% 198.57/31.75 | | | | | | | | | | | | | | | | | | | | (9140) (all_57_3 = e3 & ~ (all_57_1 = e2) & ~ (all_57_8
% 198.57/31.75 | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_10 = e2) & ~ (all_57_12 =
% 198.57/31.75 | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_14 = e0) & op(e3, e3) =
% 198.57/31.75 | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e2) = e3 & op(e2, all_57_9) =
% 198.57/31.75 | | | | | | | | | | | | | | | | | | | | all_57_8 & op(e2, all_57_11) = all_57_10 &
% 198.57/31.75 | | | | | | | | | | | | | | | | | | | | op(e2, all_57_13) = all_57_12 & op(e2,
% 198.57/31.75 | | | | | | | | | | | | | | | | | | | | all_57_15) = all_57_14 & op(e2, e3) = all_57_9
% 198.57/31.75 | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = all_57_11 & op(e2, e1) =
% 198.57/31.75 | | | | | | | | | | | | | | | | | | | | all_57_13 & op(e2, e0) = all_57_15 &
% 198.57/31.75 | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_8) & $i(all_57_9) &
% 198.57/31.75 | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & $i(all_57_11) & $i(all_57_12) &
% 198.57/31.75 | | | | | | | | | | | | | | | | | | | | $i(all_57_13) & $i(all_57_14) & $i(all_57_15)) |
% 198.57/31.75 | | | | | | | | | | | | | | | | | | | | (all_57_5 = e3 & ~ (all_57_1 = e1) & ~
% 198.57/31.75 | | | | | | | | | | | | | | | | | | | | (all_57_16 = e3) & ~ (all_57_18 = e2) & ~
% 198.57/31.75 | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_22 = e0) & op(e3,
% 198.57/31.75 | | | | | | | | | | | | | | | | | | | | e3) = all_57_1 & op(e3, e1) = e3 & op(e1,
% 198.57/31.75 | | | | | | | | | | | | | | | | | | | | all_57_17) = all_57_16 & op(e1, all_57_19) =
% 198.57/31.75 | | | | | | | | | | | | | | | | | | | | all_57_18 & op(e1, all_57_21) = all_57_20 &
% 198.57/31.75 | | | | | | | | | | | | | | | | | | | | op(e1, all_57_23) = all_57_22 & op(e1, e3) =
% 198.57/31.75 | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e1, e2) = all_57_19 & op(e1, e1)
% 198.57/31.75 | | | | | | | | | | | | | | | | | | | | = all_57_21 & op(e1, e0) = all_57_23 &
% 198.57/31.75 | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_16) & $i(all_57_17) &
% 198.57/31.75 | | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_19) & $i(all_57_20) &
% 198.57/31.75 | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_22) & $i(all_57_23)) |
% 198.57/31.75 | | | | | | | | | | | | | | | | | | | | (all_57_7 = e3 & ~ (all_57_1 = e0) & ~
% 198.57/31.75 | | | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 198.57/31.75 | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) & op(e3,
% 198.57/31.75 | | | | | | | | | | | | | | | | | | | | e3) = all_57_1 & op(e3, e0) = e3 & op(e0,
% 198.57/31.75 | | | | | | | | | | | | | | | | | | | | all_57_25) = all_57_24 & op(e0, all_57_27) =
% 198.57/31.75 | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e0, all_57_29) = all_57_28 &
% 198.57/31.75 | | | | | | | | | | | | | | | | | | | | op(e0, all_57_31) = all_57_30 & op(e0, e3) =
% 198.57/31.75 | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_27 & op(e0, e1)
% 198.57/31.75 | | | | | | | | | | | | | | | | | | | | = all_57_29 & op(e0, e0) = all_57_31 &
% 198.57/31.75 | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_24) & $i(all_57_25) &
% 198.57/31.75 | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_27) & $i(all_57_28) &
% 198.57/31.75 | | | | | | | | | | | | | | | | | | | | $i(all_57_29) & $i(all_57_30) & $i(all_57_31)) |
% 198.57/31.75 | | | | | | | | | | | | | | | | | | | | (all_57_9 = e2 & ~ (all_57_0 = e3) & ~ (all_57_2
% 198.57/31.75 | | | | | | | | | | | | | | | | | | | | = e2) & ~ (all_57_4 = e1) & ~ (all_57_6 =
% 198.57/31.75 | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_11 = e3) & op(e3, all_57_1) =
% 198.57/31.75 | | | | | | | | | | | | | | | | | | | | all_57_0 & op(e3, all_57_3) = all_57_2 & op(e3,
% 198.57/31.75 | | | | | | | | | | | | | | | | | | | | all_57_5) = all_57_4 & op(e3, all_57_7) =
% 198.57/31.75 | | | | | | | | | | | | | | | | | | | | all_57_6 & op(e3, e3) = all_57_1 & op(e3, e2) =
% 198.57/31.75 | | | | | | | | | | | | | | | | | | | | all_57_3 & op(e3, e1) = all_57_5 & op(e3, e0) =
% 198.57/31.75 | | | | | | | | | | | | | | | | | | | | all_57_7 & op(e2, e3) = e2 & op(e2, e2) =
% 198.57/31.75 | | | | | | | | | | | | | | | | | | | | all_57_11 & $i(all_57_0) & $i(all_57_1) &
% 198.57/31.75 | | | | | | | | | | | | | | | | | | | | $i(all_57_2) & $i(all_57_3) & $i(all_57_4) &
% 198.57/31.75 | | | | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 198.57/31.75 | | | | | | | | | | | | | | | | | | | | $i(all_57_11))
% 198.57/31.75 | | | | | | | | | | | | | | | | | | | |
% 198.57/31.75 | | | | | | | | | | | | | | | | | | | | BETA: splitting (9140) gives:
% 198.57/31.75 | | | | | | | | | | | | | | | | | | | |
% 198.57/31.75 | | | | | | | | | | | | | | | | | | | | Case 1:
% 198.57/31.75 | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.75 | | | | | | | | | | | | | | | | | | | | | (9141) (all_57_3 = e3 & ~ (all_57_1 = e2) & ~ (all_57_8
% 198.57/31.75 | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_10 = e2) & ~ (all_57_12 =
% 198.57/31.75 | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_14 = e0) & op(e3, e3) =
% 198.57/31.75 | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e2) = e3 & op(e2, all_57_9) =
% 198.57/31.75 | | | | | | | | | | | | | | | | | | | | | all_57_8 & op(e2, all_57_11) = all_57_10 &
% 198.57/31.75 | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_13) = all_57_12 & op(e2,
% 198.57/31.75 | | | | | | | | | | | | | | | | | | | | | all_57_15) = all_57_14 & op(e2, e3) = all_57_9
% 198.57/31.75 | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = all_57_11 & op(e2, e1) =
% 198.57/31.75 | | | | | | | | | | | | | | | | | | | | | all_57_13 & op(e2, e0) = all_57_15 &
% 198.57/31.75 | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_8) & $i(all_57_9) &
% 198.57/31.75 | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & $i(all_57_11) & $i(all_57_12) &
% 198.57/31.75 | | | | | | | | | | | | | | | | | | | | | $i(all_57_13) & $i(all_57_14) & $i(all_57_15)) |
% 198.57/31.75 | | | | | | | | | | | | | | | | | | | | | (all_57_5 = e3 & ~ (all_57_1 = e1) & ~
% 198.57/31.75 | | | | | | | | | | | | | | | | | | | | | (all_57_16 = e3) & ~ (all_57_18 = e2) & ~
% 198.57/31.75 | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_22 = e0) & op(e3,
% 198.57/31.75 | | | | | | | | | | | | | | | | | | | | | e3) = all_57_1 & op(e3, e1) = e3 & op(e1,
% 198.57/31.75 | | | | | | | | | | | | | | | | | | | | | all_57_17) = all_57_16 & op(e1, all_57_19) =
% 198.57/31.75 | | | | | | | | | | | | | | | | | | | | | all_57_18 & op(e1, all_57_21) = all_57_20 &
% 198.57/31.75 | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_23) = all_57_22 & op(e1, e3) =
% 198.57/31.75 | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e1, e2) = all_57_19 & op(e1, e1)
% 198.57/31.75 | | | | | | | | | | | | | | | | | | | | | = all_57_21 & op(e1, e0) = all_57_23 &
% 198.57/31.75 | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_16) & $i(all_57_17) &
% 198.57/31.75 | | | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_19) & $i(all_57_20) &
% 198.57/31.75 | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_22) & $i(all_57_23))
% 198.57/31.75 | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.75 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9023), (9139), (9141), (function-axioms) are
% 198.57/31.75 | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1041.
% 198.57/31.75 | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.75 | | | | | | | | | | | | | | | | | | | | Case 2:
% 198.57/31.75 | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.75 | | | | | | | | | | | | | | | | | | | | | (9142) (all_57_7 = e3 & ~ (all_57_1 = e0) & ~
% 198.57/31.75 | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 198.57/31.75 | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) & op(e3,
% 198.57/31.75 | | | | | | | | | | | | | | | | | | | | | e3) = all_57_1 & op(e3, e0) = e3 & op(e0,
% 198.57/31.75 | | | | | | | | | | | | | | | | | | | | | all_57_25) = all_57_24 & op(e0, all_57_27) =
% 198.57/31.75 | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e0, all_57_29) = all_57_28 &
% 198.57/31.75 | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_31) = all_57_30 & op(e0, e3) =
% 198.57/31.75 | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_27 & op(e0, e1)
% 198.57/31.75 | | | | | | | | | | | | | | | | | | | | | = all_57_29 & op(e0, e0) = all_57_31 &
% 198.57/31.75 | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_24) & $i(all_57_25) &
% 198.57/31.75 | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_27) & $i(all_57_28) &
% 198.57/31.75 | | | | | | | | | | | | | | | | | | | | | $i(all_57_29) & $i(all_57_30) & $i(all_57_31)) |
% 198.57/31.75 | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e2 & ~ (all_57_0 = e3) & ~ (all_57_2
% 198.57/31.75 | | | | | | | | | | | | | | | | | | | | | = e2) & ~ (all_57_4 = e1) & ~ (all_57_6 =
% 198.57/31.75 | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_11 = e3) & op(e3, all_57_1) =
% 198.57/31.75 | | | | | | | | | | | | | | | | | | | | | all_57_0 & op(e3, all_57_3) = all_57_2 & op(e3,
% 198.57/31.75 | | | | | | | | | | | | | | | | | | | | | all_57_5) = all_57_4 & op(e3, all_57_7) =
% 198.57/31.75 | | | | | | | | | | | | | | | | | | | | | all_57_6 & op(e3, e3) = all_57_1 & op(e3, e2) =
% 198.57/31.75 | | | | | | | | | | | | | | | | | | | | | all_57_3 & op(e3, e1) = all_57_5 & op(e3, e0) =
% 198.57/31.75 | | | | | | | | | | | | | | | | | | | | | all_57_7 & op(e2, e3) = e2 & op(e2, e2) =
% 198.57/31.75 | | | | | | | | | | | | | | | | | | | | | all_57_11 & $i(all_57_0) & $i(all_57_1) &
% 198.57/31.75 | | | | | | | | | | | | | | | | | | | | | $i(all_57_2) & $i(all_57_3) & $i(all_57_4) &
% 198.57/31.75 | | | | | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 198.57/31.75 | | | | | | | | | | | | | | | | | | | | | $i(all_57_11))
% 198.57/31.75 | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.75 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (167), (168), (7529), (9009), (9142),
% 198.57/31.75 | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 198.57/31.75 | | | | | | | | | | | | | | | | | | | | | #1927.
% 198.57/31.75 | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.75 | | | | | | | | | | | | | | | | | | | | End of split
% 198.57/31.75 | | | | | | | | | | | | | | | | | | | |
% 198.57/31.75 | | | | | | | | | | | | | | | | | | | Case 2:
% 198.57/31.75 | | | | | | | | | | | | | | | | | | | |
% 198.57/31.75 | | | | | | | | | | | | | | | | | | | | (9143) (all_57_13 = e2 & ~ (all_57_11 = e1) & ~
% 198.57/31.75 | | | | | | | | | | | | | | | | | | | | (all_57_16 = e3) & ~ (all_57_18 = e2) & ~
% 198.57/31.75 | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_22 = e0) & op(e2,
% 198.57/31.75 | | | | | | | | | | | | | | | | | | | | e2) = all_57_11 & op(e2, e1) = e2 & op(e1,
% 198.57/31.75 | | | | | | | | | | | | | | | | | | | | all_57_17) = all_57_16 & op(e1, all_57_19) =
% 198.57/31.75 | | | | | | | | | | | | | | | | | | | | all_57_18 & op(e1, all_57_21) = all_57_20 &
% 198.57/31.75 | | | | | | | | | | | | | | | | | | | | op(e1, all_57_23) = all_57_22 & op(e1, e3) =
% 198.57/31.75 | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e1, e2) = all_57_19 & op(e1, e1)
% 198.57/31.75 | | | | | | | | | | | | | | | | | | | | = all_57_21 & op(e1, e0) = all_57_23 &
% 198.57/31.75 | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_16) & $i(all_57_17) &
% 198.57/31.75 | | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_19) & $i(all_57_20) &
% 198.57/31.75 | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_22) & $i(all_57_23)) |
% 198.57/31.75 | | | | | | | | | | | | | | | | | | | | (all_57_15 = e2 & ~ (all_57_11 = e0) & ~
% 198.57/31.75 | | | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 198.57/31.75 | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) & op(e2,
% 198.57/31.75 | | | | | | | | | | | | | | | | | | | | e2) = all_57_11 & op(e2, e0) = e2 & op(e0,
% 198.57/31.75 | | | | | | | | | | | | | | | | | | | | all_57_25) = all_57_24 & op(e0, all_57_27) =
% 198.57/31.75 | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e0, all_57_29) = all_57_28 &
% 198.57/31.75 | | | | | | | | | | | | | | | | | | | | op(e0, all_57_31) = all_57_30 & op(e0, e3) =
% 198.57/31.75 | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_27 & op(e0, e1)
% 198.57/31.75 | | | | | | | | | | | | | | | | | | | | = all_57_29 & op(e0, e0) = all_57_31 &
% 198.57/31.75 | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_24) & $i(all_57_25) &
% 198.57/31.75 | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_27) & $i(all_57_28) &
% 198.57/31.75 | | | | | | | | | | | | | | | | | | | | $i(all_57_29) & $i(all_57_30) & $i(all_57_31)) |
% 198.57/31.75 | | | | | | | | | | | | | | | | | | | | (all_57_17 = e1 & ~ (all_57_0 = e3) & ~
% 198.57/31.75 | | | | | | | | | | | | | | | | | | | | (all_57_2 = e2) & ~ (all_57_4 = e1) & ~
% 198.57/31.75 | | | | | | | | | | | | | | | | | | | | (all_57_6 = e0) & ~ (all_57_21 = e3) & op(e3,
% 198.57/31.75 | | | | | | | | | | | | | | | | | | | | all_57_1) = all_57_0 & op(e3, all_57_3) =
% 198.57/31.75 | | | | | | | | | | | | | | | | | | | | all_57_2 & op(e3, all_57_5) = all_57_4 & op(e3,
% 198.57/31.75 | | | | | | | | | | | | | | | | | | | | all_57_7) = all_57_6 & op(e3, e3) = all_57_1 &
% 198.57/31.75 | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_3 & op(e3, e1) = all_57_5 &
% 198.57/31.75 | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_7 & op(e1, e3) = e1 & op(e1,
% 198.57/31.75 | | | | | | | | | | | | | | | | | | | | e1) = all_57_21 & $i(all_57_0) & $i(all_57_1)
% 198.57/31.75 | | | | | | | | | | | | | | | | | | | | & $i(all_57_2) & $i(all_57_3) & $i(all_57_4) &
% 198.57/31.75 | | | | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 198.57/31.75 | | | | | | | | | | | | | | | | | | | | $i(all_57_21)) | (all_57_19 = e1 & ~ (all_57_8
% 198.57/31.75 | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_10 = e2) & ~ (all_57_12 =
% 198.57/31.75 | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_14 = e0) & ~ (all_57_21 =
% 198.57/31.75 | | | | | | | | | | | | | | | | | | | | e2) & op(e2, all_57_9) = all_57_8 & op(e2,
% 198.57/31.75 | | | | | | | | | | | | | | | | | | | | all_57_11) = all_57_10 & op(e2, all_57_13) =
% 198.57/31.75 | | | | | | | | | | | | | | | | | | | | all_57_12 & op(e2, all_57_15) = all_57_14 &
% 198.57/31.75 | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_9 & op(e2, e2) = all_57_11 &
% 198.57/31.75 | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_57_13 & op(e2, e0) = all_57_15
% 198.57/31.75 | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e1 & op(e1, e1) = all_57_21 &
% 198.57/31.75 | | | | | | | | | | | | | | | | | | | | $i(all_57_8) & $i(all_57_9) & $i(all_57_10) &
% 198.57/31.75 | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_12) & $i(all_57_13) &
% 198.57/31.75 | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & $i(all_57_15) & $i(all_57_21)) |
% 198.57/31.75 | | | | | | | | | | | | | | | | | | | | (op(e0, e0) = all_57_31 & $i(all_57_31) &
% 198.57/31.75 | | | | | | | | | | | | | | | | | | | | ((all_57_23 = e1 & ~ (all_57_21 = e0) & ~
% 198.57/31.75 | | | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 198.57/31.75 | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) &
% 198.57/31.75 | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_21 & op(e1, e0) = e1 &
% 198.57/31.75 | | | | | | | | | | | | | | | | | | | | op(e0, all_57_25) = all_57_24 & op(e0,
% 198.57/31.75 | | | | | | | | | | | | | | | | | | | | all_57_27) = all_57_26 & op(e0, all_57_29)
% 198.57/31.75 | | | | | | | | | | | | | | | | | | | | = all_57_28 & op(e0, all_57_31) = all_57_30
% 198.57/31.75 | | | | | | | | | | | | | | | | | | | | & op(e0, e3) = all_57_25 & op(e0, e2) =
% 198.57/31.75 | | | | | | | | | | | | | | | | | | | | all_57_27 & op(e0, e1) = all_57_29 &
% 198.57/31.75 | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_24) &
% 198.57/31.75 | | | | | | | | | | | | | | | | | | | | $i(all_57_25) & $i(all_57_26) &
% 198.57/31.75 | | | | | | | | | | | | | | | | | | | | $i(all_57_27) & $i(all_57_28) &
% 198.57/31.75 | | | | | | | | | | | | | | | | | | | | $i(all_57_29) & $i(all_57_30)) | (all_57_25
% 198.57/31.75 | | | | | | | | | | | | | | | | | | | | = e0 & ~ (all_57_0 = e3) & ~ (all_57_2 =
% 198.57/31.75 | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_4 = e1) & ~ (all_57_6 =
% 198.57/31.75 | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_31 = e3) & op(e3,
% 198.57/31.75 | | | | | | | | | | | | | | | | | | | | all_57_1) = all_57_0 & op(e3, all_57_3) =
% 198.57/31.75 | | | | | | | | | | | | | | | | | | | | all_57_2 & op(e3, all_57_5) = all_57_4 &
% 198.57/31.75 | | | | | | | | | | | | | | | | | | | | op(e3, all_57_7) = all_57_6 & op(e3, e3) =
% 198.57/31.75 | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e2) = all_57_3 & op(e3,
% 198.57/31.75 | | | | | | | | | | | | | | | | | | | | e1) = all_57_5 & op(e3, e0) = all_57_7 &
% 198.57/31.75 | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_0) &
% 198.57/31.75 | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_2) & $i(all_57_3) &
% 198.57/31.75 | | | | | | | | | | | | | | | | | | | | $i(all_57_4) & $i(all_57_5) & $i(all_57_6) &
% 198.57/31.75 | | | | | | | | | | | | | | | | | | | | $i(all_57_7)) | (all_57_27 = e0 & ~
% 198.57/31.75 | | | | | | | | | | | | | | | | | | | | (all_57_8 = e3) & ~ (all_57_10 = e2) & ~
% 198.57/31.75 | | | | | | | | | | | | | | | | | | | | (all_57_12 = e1) & ~ (all_57_14 = e0) & ~
% 198.57/31.75 | | | | | | | | | | | | | | | | | | | | (all_57_31 = e2) & op(e2, all_57_9) =
% 198.57/31.75 | | | | | | | | | | | | | | | | | | | | all_57_8 & op(e2, all_57_11) = all_57_10 &
% 198.57/31.75 | | | | | | | | | | | | | | | | | | | | op(e2, all_57_13) = all_57_12 & op(e2,
% 198.57/31.75 | | | | | | | | | | | | | | | | | | | | all_57_15) = all_57_14 & op(e2, e3) =
% 198.57/31.75 | | | | | | | | | | | | | | | | | | | | all_57_9 & op(e2, e2) = all_57_11 & op(e2,
% 198.57/31.75 | | | | | | | | | | | | | | | | | | | | e1) = all_57_13 & op(e2, e0) = all_57_15 &
% 198.57/31.75 | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_8) &
% 198.57/31.75 | | | | | | | | | | | | | | | | | | | | $i(all_57_9) & $i(all_57_10) & $i(all_57_11)
% 198.57/31.75 | | | | | | | | | | | | | | | | | | | | & $i(all_57_12) & $i(all_57_13) &
% 198.57/31.75 | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & $i(all_57_15)) | (all_57_29
% 198.57/31.75 | | | | | | | | | | | | | | | | | | | | = e0 & ~ (all_57_16 = e3) & ~ (all_57_18 =
% 198.57/31.75 | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_20 = e1) & ~ (all_57_22
% 198.57/31.75 | | | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_31 = e1) & op(e1,
% 198.57/31.75 | | | | | | | | | | | | | | | | | | | | all_57_17) = all_57_16 & op(e1, all_57_19)
% 198.57/31.75 | | | | | | | | | | | | | | | | | | | | = all_57_18 & op(e1, all_57_21) = all_57_20
% 198.57/31.75 | | | | | | | | | | | | | | | | | | | | & op(e1, all_57_23) = all_57_22 & op(e1, e3)
% 198.57/31.75 | | | | | | | | | | | | | | | | | | | | = all_57_17 & op(e1, e2) = all_57_19 &
% 198.57/31.75 | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_21 & op(e1, e0) =
% 198.57/31.75 | | | | | | | | | | | | | | | | | | | | all_57_23 & op(e0, e1) = e0 & $i(all_57_16)
% 198.57/31.75 | | | | | | | | | | | | | | | | | | | | & $i(all_57_17) & $i(all_57_18) &
% 198.57/31.75 | | | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_20) &
% 198.57/31.75 | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_22) &
% 198.57/31.75 | | | | | | | | | | | | | | | | | | | | $i(all_57_23))))
% 198.57/31.75 | | | | | | | | | | | | | | | | | | | |
% 198.57/31.75 | | | | | | | | | | | | | | | | | | | | BETA: splitting (9143) gives:
% 198.57/31.75 | | | | | | | | | | | | | | | | | | | |
% 198.57/31.75 | | | | | | | | | | | | | | | | | | | | Case 1:
% 198.57/31.75 | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.75 | | | | | | | | | | | | | | | | | | | | | (9144) (all_57_13 = e2 & ~ (all_57_11 = e1) & ~
% 198.57/31.75 | | | | | | | | | | | | | | | | | | | | | (all_57_16 = e3) & ~ (all_57_18 = e2) & ~
% 198.57/31.75 | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_22 = e0) & op(e2,
% 198.57/31.75 | | | | | | | | | | | | | | | | | | | | | e2) = all_57_11 & op(e2, e1) = e2 & op(e1,
% 198.57/31.75 | | | | | | | | | | | | | | | | | | | | | all_57_17) = all_57_16 & op(e1, all_57_19) =
% 198.57/31.75 | | | | | | | | | | | | | | | | | | | | | all_57_18 & op(e1, all_57_21) = all_57_20 &
% 198.57/31.75 | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_23) = all_57_22 & op(e1, e3) =
% 198.57/31.75 | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e1, e2) = all_57_19 & op(e1, e1)
% 198.57/31.75 | | | | | | | | | | | | | | | | | | | | | = all_57_21 & op(e1, e0) = all_57_23 &
% 198.57/31.75 | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_16) & $i(all_57_17) &
% 198.57/31.75 | | | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_19) & $i(all_57_20) &
% 198.57/31.75 | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_22) & $i(all_57_23)) |
% 198.57/31.75 | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e2 & ~ (all_57_11 = e0) & ~
% 198.57/31.75 | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 198.57/31.75 | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) & op(e2,
% 198.57/31.75 | | | | | | | | | | | | | | | | | | | | | e2) = all_57_11 & op(e2, e0) = e2 & op(e0,
% 198.57/31.75 | | | | | | | | | | | | | | | | | | | | | all_57_25) = all_57_24 & op(e0, all_57_27) =
% 198.57/31.75 | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e0, all_57_29) = all_57_28 &
% 198.57/31.75 | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_31) = all_57_30 & op(e0, e3) =
% 198.57/31.75 | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_27 & op(e0, e1)
% 198.57/31.75 | | | | | | | | | | | | | | | | | | | | | = all_57_29 & op(e0, e0) = all_57_31 &
% 198.57/31.75 | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_24) & $i(all_57_25) &
% 198.57/31.75 | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_27) & $i(all_57_28) &
% 198.57/31.75 | | | | | | | | | | | | | | | | | | | | | $i(all_57_29) & $i(all_57_30) & $i(all_57_31))
% 198.57/31.75 | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.75 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9114), (9139), (9144), (function-axioms) are
% 198.57/31.75 | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1481.
% 198.57/31.75 | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.75 | | | | | | | | | | | | | | | | | | | | Case 2:
% 198.57/31.75 | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.75 | | | | | | | | | | | | | | | | | | | | | (9145) (all_57_17 = e1 & ~ (all_57_0 = e3) & ~
% 198.57/31.75 | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e2) & ~ (all_57_4 = e1) & ~
% 198.57/31.75 | | | | | | | | | | | | | | | | | | | | | (all_57_6 = e0) & ~ (all_57_21 = e3) & op(e3,
% 198.57/31.75 | | | | | | | | | | | | | | | | | | | | | all_57_1) = all_57_0 & op(e3, all_57_3) =
% 198.57/31.75 | | | | | | | | | | | | | | | | | | | | | all_57_2 & op(e3, all_57_5) = all_57_4 & op(e3,
% 198.57/31.75 | | | | | | | | | | | | | | | | | | | | | all_57_7) = all_57_6 & op(e3, e3) = all_57_1 &
% 198.57/31.75 | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_3 & op(e3, e1) = all_57_5 &
% 198.57/31.75 | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_7 & op(e1, e3) = e1 & op(e1,
% 198.57/31.75 | | | | | | | | | | | | | | | | | | | | | e1) = all_57_21 & $i(all_57_0) & $i(all_57_1)
% 198.57/31.75 | | | | | | | | | | | | | | | | | | | | | & $i(all_57_2) & $i(all_57_3) & $i(all_57_4) &
% 198.57/31.75 | | | | | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 198.57/31.75 | | | | | | | | | | | | | | | | | | | | | $i(all_57_21)) | (all_57_19 = e1 & ~ (all_57_8
% 198.57/31.75 | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_10 = e2) & ~ (all_57_12 =
% 198.57/31.75 | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_14 = e0) & ~ (all_57_21 =
% 198.57/31.75 | | | | | | | | | | | | | | | | | | | | | e2) & op(e2, all_57_9) = all_57_8 & op(e2,
% 198.57/31.75 | | | | | | | | | | | | | | | | | | | | | all_57_11) = all_57_10 & op(e2, all_57_13) =
% 198.57/31.75 | | | | | | | | | | | | | | | | | | | | | all_57_12 & op(e2, all_57_15) = all_57_14 &
% 198.57/31.75 | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_9 & op(e2, e2) = all_57_11 &
% 198.57/31.75 | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_57_13 & op(e2, e0) = all_57_15
% 198.57/31.75 | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e1 & op(e1, e1) = all_57_21 &
% 198.57/31.75 | | | | | | | | | | | | | | | | | | | | | $i(all_57_8) & $i(all_57_9) & $i(all_57_10) &
% 198.57/31.75 | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_12) & $i(all_57_13) &
% 198.57/31.75 | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & $i(all_57_15) & $i(all_57_21)) |
% 198.57/31.75 | | | | | | | | | | | | | | | | | | | | | (op(e0, e0) = all_57_31 & $i(all_57_31) &
% 198.57/31.75 | | | | | | | | | | | | | | | | | | | | | ((all_57_23 = e1 & ~ (all_57_21 = e0) & ~
% 198.57/31.75 | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 198.57/31.75 | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) &
% 198.57/31.75 | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_21 & op(e1, e0) = e1 &
% 198.57/31.75 | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_25) = all_57_24 & op(e0,
% 198.57/31.75 | | | | | | | | | | | | | | | | | | | | | all_57_27) = all_57_26 & op(e0, all_57_29)
% 198.57/31.75 | | | | | | | | | | | | | | | | | | | | | = all_57_28 & op(e0, all_57_31) = all_57_30
% 198.57/31.75 | | | | | | | | | | | | | | | | | | | | | & op(e0, e3) = all_57_25 & op(e0, e2) =
% 198.57/31.75 | | | | | | | | | | | | | | | | | | | | | all_57_27 & op(e0, e1) = all_57_29 &
% 198.57/31.75 | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_24) &
% 198.57/31.75 | | | | | | | | | | | | | | | | | | | | | $i(all_57_25) & $i(all_57_26) &
% 198.57/31.75 | | | | | | | | | | | | | | | | | | | | | $i(all_57_27) & $i(all_57_28) &
% 198.57/31.75 | | | | | | | | | | | | | | | | | | | | | $i(all_57_29) & $i(all_57_30)) | (all_57_25
% 198.57/31.75 | | | | | | | | | | | | | | | | | | | | | = e0 & ~ (all_57_0 = e3) & ~ (all_57_2 =
% 198.57/31.75 | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_4 = e1) & ~ (all_57_6 =
% 198.57/31.75 | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_31 = e3) & op(e3,
% 198.57/31.75 | | | | | | | | | | | | | | | | | | | | | all_57_1) = all_57_0 & op(e3, all_57_3) =
% 198.57/31.75 | | | | | | | | | | | | | | | | | | | | | all_57_2 & op(e3, all_57_5) = all_57_4 &
% 198.57/31.75 | | | | | | | | | | | | | | | | | | | | | op(e3, all_57_7) = all_57_6 & op(e3, e3) =
% 198.57/31.75 | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e2) = all_57_3 & op(e3,
% 198.57/31.75 | | | | | | | | | | | | | | | | | | | | | e1) = all_57_5 & op(e3, e0) = all_57_7 &
% 198.57/31.75 | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_0) &
% 198.57/31.75 | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_2) & $i(all_57_3) &
% 198.57/31.75 | | | | | | | | | | | | | | | | | | | | | $i(all_57_4) & $i(all_57_5) & $i(all_57_6) &
% 198.57/31.75 | | | | | | | | | | | | | | | | | | | | | $i(all_57_7)) | (all_57_27 = e0 & ~
% 198.57/31.75 | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e3) & ~ (all_57_10 = e2) & ~
% 198.57/31.75 | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e1) & ~ (all_57_14 = e0) & ~
% 198.57/31.75 | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e2) & op(e2, all_57_9) =
% 198.57/31.75 | | | | | | | | | | | | | | | | | | | | | all_57_8 & op(e2, all_57_11) = all_57_10 &
% 198.57/31.75 | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_13) = all_57_12 & op(e2,
% 198.57/31.75 | | | | | | | | | | | | | | | | | | | | | all_57_15) = all_57_14 & op(e2, e3) =
% 198.57/31.75 | | | | | | | | | | | | | | | | | | | | | all_57_9 & op(e2, e2) = all_57_11 & op(e2,
% 198.57/31.75 | | | | | | | | | | | | | | | | | | | | | e1) = all_57_13 & op(e2, e0) = all_57_15 &
% 198.57/31.75 | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_8) &
% 198.57/31.75 | | | | | | | | | | | | | | | | | | | | | $i(all_57_9) & $i(all_57_10) & $i(all_57_11)
% 198.57/31.75 | | | | | | | | | | | | | | | | | | | | | & $i(all_57_12) & $i(all_57_13) &
% 198.57/31.75 | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & $i(all_57_15)) | (all_57_29
% 198.57/31.75 | | | | | | | | | | | | | | | | | | | | | = e0 & ~ (all_57_16 = e3) & ~ (all_57_18 =
% 198.57/31.75 | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_20 = e1) & ~ (all_57_22
% 198.57/31.75 | | | | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_31 = e1) & op(e1,
% 198.57/31.75 | | | | | | | | | | | | | | | | | | | | | all_57_17) = all_57_16 & op(e1, all_57_19)
% 198.57/31.75 | | | | | | | | | | | | | | | | | | | | | = all_57_18 & op(e1, all_57_21) = all_57_20
% 198.57/31.75 | | | | | | | | | | | | | | | | | | | | | & op(e1, all_57_23) = all_57_22 & op(e1, e3)
% 198.57/31.75 | | | | | | | | | | | | | | | | | | | | | = all_57_17 & op(e1, e2) = all_57_19 &
% 198.57/31.75 | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_21 & op(e1, e0) =
% 198.57/31.75 | | | | | | | | | | | | | | | | | | | | | all_57_23 & op(e0, e1) = e0 & $i(all_57_16)
% 198.57/31.75 | | | | | | | | | | | | | | | | | | | | | & $i(all_57_17) & $i(all_57_18) &
% 198.57/31.75 | | | | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_20) &
% 198.57/31.75 | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_22) &
% 198.57/31.75 | | | | | | | | | | | | | | | | | | | | | $i(all_57_23))))
% 198.57/31.75 | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.75 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9145) gives:
% 198.57/31.75 | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.75 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 198.57/31.75 | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.75 | | | | | | | | | | | | | | | | | | | | | | (9146) all_57_17 = e1 & ~ (all_57_0 = e3) & ~ (all_57_2
% 198.57/31.75 | | | | | | | | | | | | | | | | | | | | | | = e2) & ~ (all_57_4 = e1) & ~ (all_57_6 = e0)
% 198.57/31.75 | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_21 = e3) & op(e3, all_57_1) =
% 198.57/31.75 | | | | | | | | | | | | | | | | | | | | | | all_57_0 & op(e3, all_57_3) = all_57_2 & op(e3,
% 198.57/31.75 | | | | | | | | | | | | | | | | | | | | | | all_57_5) = all_57_4 & op(e3, all_57_7) =
% 198.57/31.75 | | | | | | | | | | | | | | | | | | | | | | all_57_6 & op(e3, e3) = all_57_1 & op(e3, e2) =
% 198.57/31.75 | | | | | | | | | | | | | | | | | | | | | | all_57_3 & op(e3, e1) = all_57_5 & op(e3, e0) =
% 198.57/31.75 | | | | | | | | | | | | | | | | | | | | | | all_57_7 & op(e1, e3) = e1 & op(e1, e1) =
% 198.57/31.75 | | | | | | | | | | | | | | | | | | | | | | all_57_21 & $i(all_57_0) & $i(all_57_1) &
% 198.57/31.75 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_2) & $i(all_57_3) & $i(all_57_4) &
% 198.57/31.75 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 198.57/31.75 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21)
% 198.57/31.75 | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.75 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9146) implies:
% 198.57/31.75 | | | | | | | | | | | | | | | | | | | | | | (9147) op(e1, e3) = e1
% 198.57/31.75 | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.75 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (163), (9136), (9147), (function-axioms) are
% 198.57/31.75 | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1939.
% 198.57/31.75 | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.75 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 198.57/31.75 | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.75 | | | | | | | | | | | | | | | | | | | | | | (9148) (all_57_19 = e1 & ~ (all_57_8 = e3) & ~
% 198.57/31.75 | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e2) & ~ (all_57_12 = e1) & ~
% 198.57/31.75 | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e0) & ~ (all_57_21 = e2) & op(e2,
% 198.57/31.75 | | | | | | | | | | | | | | | | | | | | | | all_57_9) = all_57_8 & op(e2, all_57_11) =
% 198.57/31.75 | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e2, all_57_13) = all_57_12 &
% 198.57/31.75 | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_15) = all_57_14 & op(e2, e3) =
% 198.57/31.75 | | | | | | | | | | | | | | | | | | | | | | all_57_9 & op(e2, e2) = all_57_11 & op(e2, e1) =
% 198.57/31.75 | | | | | | | | | | | | | | | | | | | | | | all_57_13 & op(e2, e0) = all_57_15 & op(e1, e2)
% 198.57/31.75 | | | | | | | | | | | | | | | | | | | | | | = e1 & op(e1, e1) = all_57_21 & $i(all_57_8) &
% 198.57/31.75 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9) & $i(all_57_10) & $i(all_57_11) &
% 198.57/31.75 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & $i(all_57_13) & $i(all_57_14) &
% 198.57/31.75 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & $i(all_57_21)) | (op(e0, e0) =
% 198.57/31.75 | | | | | | | | | | | | | | | | | | | | | | all_57_31 & $i(all_57_31) & ((all_57_23 = e1 &
% 198.57/31.75 | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_21 = e0) & ~ (all_57_24 = e3) &
% 198.57/31.75 | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_26 = e2) & ~ (all_57_28 = e1) &
% 198.57/31.75 | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_30 = e0) & op(e1, e1) = all_57_21
% 198.57/31.75 | | | | | | | | | | | | | | | | | | | | | | & op(e1, e0) = e1 & op(e0, all_57_25) =
% 198.57/31.75 | | | | | | | | | | | | | | | | | | | | | | all_57_24 & op(e0, all_57_27) = all_57_26 &
% 198.57/31.75 | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_29) = all_57_28 & op(e0,
% 198.57/31.75 | | | | | | | | | | | | | | | | | | | | | | all_57_31) = all_57_30 & op(e0, e3) =
% 198.57/31.75 | | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_27 & op(e0,
% 198.57/31.75 | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_29 & $i(all_57_21) &
% 198.57/31.75 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_24) & $i(all_57_25) &
% 198.57/31.75 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_27) &
% 198.57/31.75 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28) & $i(all_57_29) &
% 198.57/31.75 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_25 = e0 & ~
% 198.57/31.75 | | | | | | | | | | | | | | | | | | | | | | (all_57_0 = e3) & ~ (all_57_2 = e2) & ~
% 198.57/31.75 | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1) & ~ (all_57_6 = e0) & ~
% 198.57/31.75 | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e3) & op(e3, all_57_1) =
% 198.57/31.75 | | | | | | | | | | | | | | | | | | | | | | all_57_0 & op(e3, all_57_3) = all_57_2 &
% 198.57/31.75 | | | | | | | | | | | | | | | | | | | | | | op(e3, all_57_5) = all_57_4 & op(e3,
% 198.57/31.75 | | | | | | | | | | | | | | | | | | | | | | all_57_7) = all_57_6 & op(e3, e3) =
% 198.57/31.75 | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e2) = all_57_3 & op(e3,
% 198.57/31.75 | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_5 & op(e3, e0) = all_57_7 &
% 198.57/31.75 | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_0) &
% 198.57/31.75 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_2) & $i(all_57_3) &
% 198.57/31.75 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4) & $i(all_57_5) & $i(all_57_6) &
% 198.57/31.75 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7)) | (all_57_27 = e0 & ~
% 198.57/31.75 | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e3) & ~ (all_57_10 = e2) & ~
% 198.57/31.75 | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e1) & ~ (all_57_14 = e0) & ~
% 198.57/31.75 | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e2) & op(e2, all_57_9) =
% 198.57/31.75 | | | | | | | | | | | | | | | | | | | | | | all_57_8 & op(e2, all_57_11) = all_57_10 &
% 198.57/31.75 | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_13) = all_57_12 & op(e2,
% 198.57/31.75 | | | | | | | | | | | | | | | | | | | | | | all_57_15) = all_57_14 & op(e2, e3) =
% 198.57/31.75 | | | | | | | | | | | | | | | | | | | | | | all_57_9 & op(e2, e2) = all_57_11 & op(e2,
% 198.57/31.75 | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_13 & op(e2, e0) = all_57_15 &
% 198.57/31.75 | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_8) &
% 198.57/31.75 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9) & $i(all_57_10) & $i(all_57_11)
% 198.57/31.75 | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_12) & $i(all_57_13) &
% 198.57/31.75 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & $i(all_57_15)) | (all_57_29
% 198.57/31.75 | | | | | | | | | | | | | | | | | | | | | | = e0 & ~ (all_57_16 = e3) & ~ (all_57_18 =
% 198.57/31.75 | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_20 = e1) & ~ (all_57_22
% 198.57/31.75 | | | | | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_31 = e1) & op(e1,
% 198.57/31.75 | | | | | | | | | | | | | | | | | | | | | | all_57_17) = all_57_16 & op(e1, all_57_19)
% 198.57/31.75 | | | | | | | | | | | | | | | | | | | | | | = all_57_18 & op(e1, all_57_21) = all_57_20
% 198.57/31.75 | | | | | | | | | | | | | | | | | | | | | | & op(e1, all_57_23) = all_57_22 & op(e1, e3)
% 198.57/31.75 | | | | | | | | | | | | | | | | | | | | | | = all_57_17 & op(e1, e2) = all_57_19 &
% 198.57/31.75 | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_21 & op(e1, e0) =
% 198.57/31.75 | | | | | | | | | | | | | | | | | | | | | | all_57_23 & op(e0, e1) = e0 & $i(all_57_16)
% 198.57/31.75 | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_17) & $i(all_57_18) &
% 198.57/31.75 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_20) &
% 198.57/31.75 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_22) &
% 198.57/31.75 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23))))
% 198.57/31.75 | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.75 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9148) gives:
% 198.57/31.75 | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.75 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 198.57/31.75 | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.75 | | | | | | | | | | | | | | | | | | | | | | | (9149) all_57_19 = e1 & ~ (all_57_8 = e3) & ~
% 198.57/31.75 | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e2) & ~ (all_57_12 = e1) & ~
% 198.57/31.75 | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e0) & ~ (all_57_21 = e2) & op(e2,
% 198.57/31.75 | | | | | | | | | | | | | | | | | | | | | | | all_57_9) = all_57_8 & op(e2, all_57_11) =
% 198.57/31.75 | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e2, all_57_13) = all_57_12 & op(e2,
% 198.57/31.75 | | | | | | | | | | | | | | | | | | | | | | | all_57_15) = all_57_14 & op(e2, e3) = all_57_9 &
% 198.57/31.75 | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_11 & op(e2, e1) = all_57_13 &
% 198.57/31.75 | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_15 & op(e1, e2) = e1 & op(e1,
% 198.57/31.75 | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_21 & $i(all_57_8) & $i(all_57_9) &
% 198.57/31.75 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & $i(all_57_11) & $i(all_57_12) &
% 198.57/31.75 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13) & $i(all_57_14) & $i(all_57_15) &
% 198.57/31.75 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21)
% 198.57/31.75 | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.75 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9149) implies:
% 198.57/31.75 | | | | | | | | | | | | | | | | | | | | | | | (9150) op(e1, e2) = e1
% 198.57/31.75 | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.75 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (162), (9137), (9150), (function-axioms) are
% 198.57/31.75 | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1480.
% 198.57/31.75 | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.75 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 198.57/31.75 | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.75 | | | | | | | | | | | | | | | | | | | | | | | (9151) op(e0, e0) = all_57_31 & $i(all_57_31) &
% 198.57/31.75 | | | | | | | | | | | | | | | | | | | | | | | ((all_57_23 = e1 & ~ (all_57_21 = e0) & ~
% 198.57/31.75 | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 198.57/31.75 | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) &
% 198.57/31.75 | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_21 & op(e1, e0) = e1 &
% 198.57/31.75 | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_25) = all_57_24 & op(e0,
% 198.57/31.75 | | | | | | | | | | | | | | | | | | | | | | | all_57_27) = all_57_26 & op(e0, all_57_29) =
% 198.57/31.75 | | | | | | | | | | | | | | | | | | | | | | | all_57_28 & op(e0, all_57_31) = all_57_30 &
% 198.57/31.75 | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_25 & op(e0, e2) =
% 198.57/31.75 | | | | | | | | | | | | | | | | | | | | | | | all_57_27 & op(e0, e1) = all_57_29 &
% 198.57/31.75 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_24) & $i(all_57_25)
% 198.57/31.75 | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_26) & $i(all_57_27) &
% 198.57/31.75 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28) & $i(all_57_29) & $i(all_57_30))
% 198.57/31.75 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_25 = e0 & ~ (all_57_0 = e3) & ~
% 198.57/31.75 | | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e2) & ~ (all_57_4 = e1) & ~
% 198.57/31.75 | | | | | | | | | | | | | | | | | | | | | | | (all_57_6 = e0) & ~ (all_57_31 = e3) & op(e3,
% 198.57/31.75 | | | | | | | | | | | | | | | | | | | | | | | all_57_1) = all_57_0 & op(e3, all_57_3) =
% 198.57/31.75 | | | | | | | | | | | | | | | | | | | | | | | all_57_2 & op(e3, all_57_5) = all_57_4 &
% 198.57/31.75 | | | | | | | | | | | | | | | | | | | | | | | op(e3, all_57_7) = all_57_6 & op(e3, e3) =
% 198.57/31.75 | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e2) = all_57_3 & op(e3, e1)
% 198.57/31.75 | | | | | | | | | | | | | | | | | | | | | | | = all_57_5 & op(e3, e0) = all_57_7 & op(e0,
% 198.57/31.75 | | | | | | | | | | | | | | | | | | | | | | | e3) = e0 & $i(all_57_0) & $i(all_57_1) &
% 198.57/31.75 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_2) & $i(all_57_3) & $i(all_57_4) &
% 198.57/31.75 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_6) & $i(all_57_7)) |
% 198.57/31.75 | | | | | | | | | | | | | | | | | | | | | | | (all_57_27 = e0 & ~ (all_57_8 = e3) & ~
% 198.57/31.75 | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e2) & ~ (all_57_12 = e1) & ~
% 198.57/31.75 | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e0) & ~ (all_57_31 = e2) &
% 198.57/31.75 | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_9) = all_57_8 & op(e2,
% 198.57/31.75 | | | | | | | | | | | | | | | | | | | | | | | all_57_11) = all_57_10 & op(e2, all_57_13) =
% 198.57/31.75 | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & op(e2, all_57_15) = all_57_14 &
% 198.57/31.75 | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_9 & op(e2, e2) = all_57_11
% 198.57/31.75 | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = all_57_13 & op(e2, e0) =
% 198.57/31.75 | | | | | | | | | | | | | | | | | | | | | | | all_57_15 & op(e0, e2) = e0 & $i(all_57_8) &
% 198.57/31.75 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9) & $i(all_57_10) & $i(all_57_11) &
% 198.57/31.75 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & $i(all_57_13) & $i(all_57_14)
% 198.57/31.75 | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_15)) | (all_57_29 = e0 & ~
% 198.57/31.75 | | | | | | | | | | | | | | | | | | | | | | | (all_57_16 = e3) & ~ (all_57_18 = e2) & ~
% 198.57/31.75 | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_22 = e0) & ~
% 198.57/31.75 | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e1) & op(e1, all_57_17) =
% 198.57/31.75 | | | | | | | | | | | | | | | | | | | | | | | all_57_16 & op(e1, all_57_19) = all_57_18 &
% 198.57/31.75 | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_21) = all_57_20 & op(e1,
% 198.57/31.75 | | | | | | | | | | | | | | | | | | | | | | | all_57_23) = all_57_22 & op(e1, e3) =
% 198.57/31.75 | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e1, e2) = all_57_19 & op(e1,
% 198.57/31.75 | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_21 & op(e1, e0) = all_57_23 &
% 198.57/31.75 | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_16) &
% 198.57/31.75 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_17) & $i(all_57_18) & $i(all_57_19)
% 198.57/31.75 | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_20) & $i(all_57_21) &
% 198.57/31.75 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_23)))
% 198.57/31.75 | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.75 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (158), (160), (7532), (9110), (9138), (9139),
% 198.57/31.75 | | | | | | | | | | | | | | | | | | | | | | | (9151), (function-axioms) are inconsistent by
% 198.57/31.75 | | | | | | | | | | | | | | | | | | | | | | | sub-proof #858.
% 198.57/31.75 | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.75 | | | | | | | | | | | | | | | | | | | | | | End of split
% 198.57/31.75 | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.75 | | | | | | | | | | | | | | | | | | | | | End of split
% 198.57/31.75 | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.75 | | | | | | | | | | | | | | | | | | | | End of split
% 198.57/31.75 | | | | | | | | | | | | | | | | | | | |
% 198.57/31.75 | | | | | | | | | | | | | | | | | | | End of split
% 198.57/31.75 | | | | | | | | | | | | | | | | | | |
% 198.57/31.75 | | | | | | | | | | | | | | | | | | Case 2:
% 198.57/31.75 | | | | | | | | | | | | | | | | | | |
% 198.57/31.75 | | | | | | | | | | | | | | | | | | | (9152) all_54_10 = e0
% 198.57/31.75 | | | | | | | | | | | | | | | | | | |
% 198.57/31.75 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (335), (372), (9152) are inconsistent by sub-proof
% 198.57/31.75 | | | | | | | | | | | | | | | | | | | #1950.
% 198.57/31.75 | | | | | | | | | | | | | | | | | | |
% 198.57/31.75 | | | | | | | | | | | | | | | | | | End of split
% 198.57/31.75 | | | | | | | | | | | | | | | | | |
% 198.57/31.75 | | | | | | | | | | | | | | | | | End of split
% 198.57/31.75 | | | | | | | | | | | | | | | | |
% 198.57/31.75 | | | | | | | | | | | | | | | | End of split
% 198.57/31.75 | | | | | | | | | | | | | | | |
% 198.57/31.75 | | | | | | | | | | | | | | | Case 2:
% 198.57/31.75 | | | | | | | | | | | | | | | |
% 198.57/31.75 | | | | | | | | | | | | | | | | (9153) all_32_2 = e3
% 198.57/31.76 | | | | | | | | | | | | | | | |
% 198.57/31.76 | | | | | | | | | | | | | | | | COMBINE_EQS: (301), (9153) imply:
% 198.57/31.76 | | | | | | | | | | | | | | | | (9154) all_4_2 = e3
% 198.57/31.76 | | | | | | | | | | | | | | | |
% 198.57/31.76 | | | | | | | | | | | | | | | | SIMP: (9154) implies:
% 198.57/31.76 | | | | | | | | | | | | | | | | (9155) all_4_2 = e3
% 198.57/31.76 | | | | | | | | | | | | | | | |
% 198.57/31.76 | | | | | | | | | | | | | | | | REDUCE: (360), (9155) imply:
% 198.57/31.76 | | | | | | | | | | | | | | | | (9156) ~ (all_52_6 = e3)
% 198.57/31.76 | | | | | | | | | | | | | | | |
% 198.57/31.76 | | | | | | | | | | | | | | | | REDUCE: (362), (9155) imply:
% 198.57/31.76 | | | | | | | | | | | | | | | | (9157) ~ (all_52_8 = e3)
% 198.57/31.76 | | | | | | | | | | | | | | | |
% 198.57/31.76 | | | | | | | | | | | | | | | | REDUCE: (363), (9155) imply:
% 198.57/31.76 | | | | | | | | | | | | | | | | (9158) ~ (all_52_9 = e3)
% 198.57/31.76 | | | | | | | | | | | | | | | |
% 198.57/31.76 | | | | | | | | | | | | | | | | REDUCE: (36), (9155) imply:
% 198.57/31.76 | | | | | | | | | | | | | | | | (9159) op(e1, e1) = e3
% 198.57/31.76 | | | | | | | | | | | | | | | |
% 198.57/31.76 | | | | | | | | | | | | | | | | BETA: splitting (228) gives:
% 198.57/31.76 | | | | | | | | | | | | | | | |
% 198.57/31.76 | | | | | | | | | | | | | | | | Case 1:
% 198.57/31.76 | | | | | | | | | | | | | | | | |
% 198.57/31.76 | | | | | | | | | | | | | | | | | (9160) (all_56_1 = e3 & op(e3, e2) = e3) | (all_56_3 = e3
% 198.57/31.76 | | | | | | | | | | | | | | | | | & op(e2, e2) = e3)
% 198.57/31.76 | | | | | | | | | | | | | | | | |
% 198.57/31.76 | | | | | | | | | | | | | | | | | BETA: splitting (9160) gives:
% 198.57/31.76 | | | | | | | | | | | | | | | | |
% 198.57/31.76 | | | | | | | | | | | | | | | | | Case 1:
% 198.57/31.76 | | | | | | | | | | | | | | | | | |
% 198.57/31.76 | | | | | | | | | | | | | | | | | | (9161) all_56_1 = e3 & op(e3, e2) = e3
% 198.57/31.76 | | | | | | | | | | | | | | | | | |
% 198.57/31.76 | | | | | | | | | | | | | | | | | | ALPHA: (9161) implies:
% 198.57/31.76 | | | | | | | | | | | | | | | | | | (9162) op(e3, e2) = e3
% 198.57/31.76 | | | | | | | | | | | | | | | | | |
% 198.57/31.76 | | | | | | | | | | | | | | | | | | BETA: splitting (224) gives:
% 198.57/31.76 | | | | | | | | | | | | | | | | | |
% 198.57/31.76 | | | | | | | | | | | | | | | | | | Case 1:
% 198.57/31.76 | | | | | | | | | | | | | | | | | | |
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | (9163) (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e3)
% 198.57/31.76 | | | | | | | | | | | | | | | | | | |
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | BETA: splitting (9163) gives:
% 198.57/31.76 | | | | | | | | | | | | | | | | | | |
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | Case 1:
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | |
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | (9164) all_56_2 = e3 & op(e2, e3) = e3
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | |
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | ALPHA: (9164) implies:
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | (9165) all_56_2 = e3
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | (9166) op(e2, e3) = e3
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | |
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_14_1, e3,
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | e3, e2, simplifying with (9007), (9166) gives:
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | (9167) all_14_1 = e3
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | |
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_4, e3,
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | e2, e3, simplifying with (170), (9162) gives:
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | (9168) all_52_4 = e3
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | |
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | REDUCE: (136), (9168) imply:
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | (9169) ~ (all_52_6 = e3)
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | |
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | REDUCE: (9124), (9168) imply:
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | (9170) ~ (all_20_1 = e3)
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | |
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | SIMP: (9170) implies:
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | (9171) ~ (all_20_1 = e3)
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | |
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | REDUCE: (7552), (9168) imply:
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | (9172) ~ (all_10_1 = e3)
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | |
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | BETA: splitting (239) gives:
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | |
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | Case 1:
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | (9173) (all_57_1 = e2 & ~ (all_57_3 = e3) & ~ (all_57_8
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_10 = e2) & ~ (all_57_12 =
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_14 = e0) & op(e3, e3) = e2 &
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_3 & op(e2, all_57_9) =
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | all_57_8 & op(e2, all_57_11) = all_57_10 &
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_13) = all_57_12 & op(e2,
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | all_57_15) = all_57_14 & op(e2, e3) = all_57_9
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = all_57_11 & op(e2, e1) =
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | all_57_13 & op(e2, e0) = all_57_15 &
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | $i(all_57_3) & $i(all_57_8) & $i(all_57_9) &
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & $i(all_57_11) & $i(all_57_12) &
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | $i(all_57_13) & $i(all_57_14) & $i(all_57_15)) |
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e1 & ~ (all_57_5 = e3) & ~
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | (all_57_16 = e3) & ~ (all_57_18 = e2) & ~
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_22 = e0) & op(e3,
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | e3) = e1 & op(e3, e1) = all_57_5 & op(e1,
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | all_57_17) = all_57_16 & op(e1, all_57_19) =
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | all_57_18 & op(e1, all_57_21) = all_57_20 &
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_23) = all_57_22 & op(e1, e3) =
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e1, e2) = all_57_19 & op(e1, e1)
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | = all_57_21 & op(e1, e0) = all_57_23 &
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_16) & $i(all_57_17) &
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_19) & $i(all_57_20) &
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_22) & $i(all_57_23)) |
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e0 & ~ (all_57_7 = e3) & ~
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) & op(e3,
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | e3) = e0 & op(e3, e0) = all_57_7 & op(e0,
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | all_57_25) = all_57_24 & op(e0, all_57_27) =
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e0, all_57_29) = all_57_28 &
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_31) = all_57_30 & op(e0, e3) =
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_27 & op(e0, e1)
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | = all_57_29 & op(e0, e0) = all_57_31 &
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | $i(all_57_7) & $i(all_57_24) & $i(all_57_25) &
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_27) & $i(all_57_28) &
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | $i(all_57_29) & $i(all_57_30) & $i(all_57_31)) |
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e3 & ~ (all_57_0 = e3) & ~
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e2) & ~ (all_57_4 = e1) & ~
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | (all_57_6 = e0) & ~ (all_57_9 = e2) & op(e3,
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | all_57_1) = all_57_0 & op(e3, all_57_3) =
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | all_57_2 & op(e3, all_57_5) = all_57_4 & op(e3,
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | all_57_7) = all_57_6 & op(e3, e3) = all_57_1 &
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_3 & op(e3, e1) = all_57_5 &
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_7 & op(e2, e3) = all_57_9 &
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e3 & $i(all_57_0) & $i(all_57_1) &
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | $i(all_57_2) & $i(all_57_3) & $i(all_57_4) &
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | $i(all_57_9))
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9173) gives:
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | | (9174) (all_57_1 = e2 & ~ (all_57_3 = e3) & ~ (all_57_8
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_10 = e2) & ~ (all_57_12 =
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_14 = e0) & op(e3, e3) = e2 &
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_3 & op(e2, all_57_9) =
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | | all_57_8 & op(e2, all_57_11) = all_57_10 &
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_13) = all_57_12 & op(e2,
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | | all_57_15) = all_57_14 & op(e2, e3) = all_57_9
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = all_57_11 & op(e2, e1) =
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | | all_57_13 & op(e2, e0) = all_57_15 &
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_3) & $i(all_57_8) & $i(all_57_9) &
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & $i(all_57_11) & $i(all_57_12) &
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13) & $i(all_57_14) & $i(all_57_15)) |
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e1 & ~ (all_57_5 = e3) & ~
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | | (all_57_16 = e3) & ~ (all_57_18 = e2) & ~
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_22 = e0) & op(e3,
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | | e3) = e1 & op(e3, e1) = all_57_5 & op(e1,
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | | all_57_17) = all_57_16 & op(e1, all_57_19) =
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | | all_57_18 & op(e1, all_57_21) = all_57_20 &
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_23) = all_57_22 & op(e1, e3) =
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e1, e2) = all_57_19 & op(e1, e1)
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | | = all_57_21 & op(e1, e0) = all_57_23 &
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_16) & $i(all_57_17) &
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_19) & $i(all_57_20) &
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_22) & $i(all_57_23))
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9174) gives:
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | | | (9175) all_57_1 = e2 & ~ (all_57_3 = e3) & ~ (all_57_8
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_10 = e2) & ~ (all_57_12 =
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_14 = e0) & op(e3, e3) = e2 &
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_3 & op(e2, all_57_9) =
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | | | all_57_8 & op(e2, all_57_11) = all_57_10 & op(e2,
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | | | all_57_13) = all_57_12 & op(e2, all_57_15) =
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | | | all_57_14 & op(e2, e3) = all_57_9 & op(e2, e2) =
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | | | all_57_11 & op(e2, e1) = all_57_13 & op(e2, e0) =
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | | | all_57_15 & $i(all_57_3) & $i(all_57_8) &
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9) & $i(all_57_10) & $i(all_57_11) &
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & $i(all_57_13) & $i(all_57_14) &
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15)
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9175) implies:
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | | | (9176) ~ (all_57_3 = e3)
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | | | (9177) op(e3, e2) = all_57_3
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e3, all_57_3,
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | | | e2, e3, simplifying with (9162), (9177) gives:
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | | | (9178) all_57_3 = e3
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9176), (9178) imply:
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | | | (9179) $false
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (9179) is inconsistent.
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | | | (9180) all_57_1 = e1 & ~ (all_57_5 = e3) & ~ (all_57_16
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_18 = e2) & ~ (all_57_20 =
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_22 = e0) & op(e3, e3) = e1 &
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_57_5 & op(e1, all_57_17) =
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | | | all_57_16 & op(e1, all_57_19) = all_57_18 & op(e1,
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | | | all_57_21) = all_57_20 & op(e1, all_57_23) =
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | | | all_57_22 & op(e1, e3) = all_57_17 & op(e1, e2) =
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | | | all_57_19 & op(e1, e1) = all_57_21 & op(e1, e0) =
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | | | all_57_23 & $i(all_57_5) & $i(all_57_16) &
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_17) & $i(all_57_18) & $i(all_57_19) &
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_20) & $i(all_57_21) & $i(all_57_22) &
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23)
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9180) implies:
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | | | (9181) op(e3, e3) = e1
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (9023), (9181), (function-axioms) are
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1966.
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | | End of split
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | | (9182) (all_57_1 = e0 & ~ (all_57_7 = e3) & ~
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) & op(e3,
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | | e3) = e0 & op(e3, e0) = all_57_7 & op(e0,
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | | all_57_25) = all_57_24 & op(e0, all_57_27) =
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e0, all_57_29) = all_57_28 &
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_31) = all_57_30 & op(e0, e3) =
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_27 & op(e0, e1)
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | | = all_57_29 & op(e0, e0) = all_57_31 &
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7) & $i(all_57_24) & $i(all_57_25) &
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_27) & $i(all_57_28) &
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29) & $i(all_57_30) & $i(all_57_31)) |
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e3 & ~ (all_57_0 = e3) & ~
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e2) & ~ (all_57_4 = e1) & ~
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | | (all_57_6 = e0) & ~ (all_57_9 = e2) & op(e3,
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | | all_57_1) = all_57_0 & op(e3, all_57_3) =
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | | all_57_2 & op(e3, all_57_5) = all_57_4 & op(e3,
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | | all_57_7) = all_57_6 & op(e3, e3) = all_57_1 &
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_3 & op(e3, e1) = all_57_5 &
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_7 & op(e2, e3) = all_57_9 &
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e3 & $i(all_57_0) & $i(all_57_1) &
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_2) & $i(all_57_3) & $i(all_57_4) &
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9))
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (7), (9023), (9114), (9182),
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | | #930.
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | End of split
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | Case 2:
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | (9183) (all_57_11 = e1 & ~ (all_57_13 = e2) & ~
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | (all_57_16 = e3) & ~ (all_57_18 = e2) & ~
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_22 = e0) & op(e2,
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | e2) = e1 & op(e2, e1) = all_57_13 & op(e1,
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | all_57_17) = all_57_16 & op(e1, all_57_19) =
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | all_57_18 & op(e1, all_57_21) = all_57_20 &
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_23) = all_57_22 & op(e1, e3) =
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e1, e2) = all_57_19 & op(e1, e1)
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | = all_57_21 & op(e1, e0) = all_57_23 &
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | $i(all_57_13) & $i(all_57_16) & $i(all_57_17) &
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_19) & $i(all_57_20) &
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_22) & $i(all_57_23)) |
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e0 & ~ (all_57_15 = e2) & ~
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) & op(e2,
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | e2) = e0 & op(e2, e0) = all_57_15 & op(e0,
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | all_57_25) = all_57_24 & op(e0, all_57_27) =
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e0, all_57_29) = all_57_28 &
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_31) = all_57_30 & op(e0, e3) =
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_27 & op(e0, e1)
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | = all_57_29 & op(e0, e0) = all_57_31 &
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & $i(all_57_24) & $i(all_57_25) &
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_27) & $i(all_57_28) &
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | $i(all_57_29) & $i(all_57_30) & $i(all_57_31)) |
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e3 & ~ (all_57_0 = e3) & ~
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e2) & ~ (all_57_4 = e1) & ~
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | (all_57_6 = e0) & ~ (all_57_17 = e1) & op(e3,
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | all_57_1) = all_57_0 & op(e3, all_57_3) =
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | all_57_2 & op(e3, all_57_5) = all_57_4 & op(e3,
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | all_57_7) = all_57_6 & op(e3, e3) = all_57_1 &
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_3 & op(e3, e1) = all_57_5 &
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_7 & op(e1, e3) = all_57_17 &
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e3 & $i(all_57_0) & $i(all_57_1) &
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | $i(all_57_2) & $i(all_57_3) & $i(all_57_4) &
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | $i(all_57_17)) | (all_57_21 = e2 & ~ (all_57_8
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_10 = e2) & ~ (all_57_12 =
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_14 = e0) & ~ (all_57_19 =
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | e1) & op(e2, all_57_9) = all_57_8 & op(e2,
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | all_57_11) = all_57_10 & op(e2, all_57_13) =
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | all_57_12 & op(e2, all_57_15) = all_57_14 &
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_9 & op(e2, e2) = all_57_11 &
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_57_13 & op(e2, e0) = all_57_15
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = all_57_19 & op(e1, e1) = e2 &
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | $i(all_57_8) & $i(all_57_9) & $i(all_57_10) &
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_12) & $i(all_57_13) &
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & $i(all_57_15) & $i(all_57_19)) |
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | (op(e0, e0) = all_57_31 & $i(all_57_31) &
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | ((all_57_21 = e0 & ~ (all_57_23 = e1) & ~
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) &
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = all_57_23 &
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_25) = all_57_24 & op(e0,
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | all_57_27) = all_57_26 & op(e0, all_57_29)
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | = all_57_28 & op(e0, all_57_31) = all_57_30
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | & op(e0, e3) = all_57_25 & op(e0, e2) =
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | all_57_27 & op(e0, e1) = all_57_29 &
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | $i(all_57_23) & $i(all_57_24) &
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | $i(all_57_25) & $i(all_57_26) &
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | $i(all_57_27) & $i(all_57_28) &
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | $i(all_57_29) & $i(all_57_30)) | (all_57_31
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | = e3 & ~ (all_57_0 = e3) & ~ (all_57_2 =
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_4 = e1) & ~ (all_57_6 =
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_25 = e0) & op(e3,
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | all_57_1) = all_57_0 & op(e3, all_57_3) =
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | all_57_2 & op(e3, all_57_5) = all_57_4 &
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | op(e3, all_57_7) = all_57_6 & op(e3, e3) =
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e2) = all_57_3 & op(e3,
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | e1) = all_57_5 & op(e3, e0) = all_57_7 &
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_25 & $i(all_57_0) &
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_2) & $i(all_57_3) &
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | $i(all_57_4) & $i(all_57_5) & $i(all_57_6) &
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | $i(all_57_7) & $i(all_57_25)) | (all_57_31 =
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_8 = e3) & ~ (all_57_10 =
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_12 = e1) & ~ (all_57_14
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_27 = e0) & op(e2,
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | all_57_9) = all_57_8 & op(e2, all_57_11) =
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e2, all_57_13) = all_57_12 &
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_15) = all_57_14 & op(e2, e3) =
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | all_57_9 & op(e2, e2) = all_57_11 & op(e2,
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | e1) = all_57_13 & op(e2, e0) = all_57_15 &
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_27 & $i(all_57_8) &
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | $i(all_57_9) & $i(all_57_10) & $i(all_57_11)
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | & $i(all_57_12) & $i(all_57_13) &
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & $i(all_57_15) &
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | $i(all_57_27)) | (all_57_31 = e1 & ~
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | (all_57_16 = e3) & ~ (all_57_18 = e2) & ~
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_22 = e0) & ~
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | (all_57_29 = e0) & op(e1, all_57_17) =
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | all_57_16 & op(e1, all_57_19) = all_57_18 &
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_21) = all_57_20 & op(e1,
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | all_57_23) = all_57_22 & op(e1, e3) =
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e1, e2) = all_57_19 & op(e1,
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | e1) = all_57_21 & op(e1, e0) = all_57_23 &
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = all_57_29 & $i(all_57_16) &
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | $i(all_57_17) & $i(all_57_18) &
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_20) &
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_22) &
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | $i(all_57_23) & $i(all_57_29))))
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9183) gives:
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | | (9184) (all_57_11 = e1 & ~ (all_57_13 = e2) & ~
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | | (all_57_16 = e3) & ~ (all_57_18 = e2) & ~
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_22 = e0) & op(e2,
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | | e2) = e1 & op(e2, e1) = all_57_13 & op(e1,
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | | all_57_17) = all_57_16 & op(e1, all_57_19) =
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | | all_57_18 & op(e1, all_57_21) = all_57_20 &
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_23) = all_57_22 & op(e1, e3) =
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e1, e2) = all_57_19 & op(e1, e1)
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | | = all_57_21 & op(e1, e0) = all_57_23 &
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13) & $i(all_57_16) & $i(all_57_17) &
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_19) & $i(all_57_20) &
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_22) & $i(all_57_23)) |
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e0 & ~ (all_57_15 = e2) & ~
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) & op(e2,
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | | e2) = e0 & op(e2, e0) = all_57_15 & op(e0,
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | | all_57_25) = all_57_24 & op(e0, all_57_27) =
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e0, all_57_29) = all_57_28 &
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_31) = all_57_30 & op(e0, e3) =
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_27 & op(e0, e1)
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | | = all_57_29 & op(e0, e0) = all_57_31 &
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & $i(all_57_24) & $i(all_57_25) &
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_27) & $i(all_57_28) &
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29) & $i(all_57_30) & $i(all_57_31))
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9184) gives:
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | | | (9185) all_57_11 = e1 & ~ (all_57_13 = e2) & ~
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | | | (all_57_16 = e3) & ~ (all_57_18 = e2) & ~
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_22 = e0) & op(e2,
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | | | e2) = e1 & op(e2, e1) = all_57_13 & op(e1,
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | | | all_57_17) = all_57_16 & op(e1, all_57_19) =
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | | | all_57_18 & op(e1, all_57_21) = all_57_20 & op(e1,
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | | | all_57_23) = all_57_22 & op(e1, e3) = all_57_17
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = all_57_19 & op(e1, e1) = all_57_21
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e0) = all_57_23 & $i(all_57_13) &
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_16) & $i(all_57_17) & $i(all_57_18) &
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_20) & $i(all_57_21) &
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_23)
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9185) implies:
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | | | (9186) op(e2, e2) = e1
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (9114), (9186), (function-axioms) are
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1512.
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | | | (9187) all_57_11 = e0 & ~ (all_57_15 = e2) & ~
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) & op(e2,
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | | | e2) = e0 & op(e2, e0) = all_57_15 & op(e0,
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | | | all_57_25) = all_57_24 & op(e0, all_57_27) =
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e0, all_57_29) = all_57_28 & op(e0,
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | | | all_57_31) = all_57_30 & op(e0, e3) = all_57_25
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e2) = all_57_27 & op(e0, e1) = all_57_29
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = all_57_31 & $i(all_57_15) &
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_24) & $i(all_57_25) & $i(all_57_26) &
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27) & $i(all_57_28) & $i(all_57_29) &
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30) & $i(all_57_31)
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9187) implies:
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | | | (9188) ~ (all_57_26 = e2)
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | | | (9189) ~ (all_57_15 = e2)
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | | | (9190) op(e0, e2) = all_57_27
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | | | (9191) op(e0, all_57_27) = all_57_26
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | | | (9192) op(e2, e0) = all_57_15
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_20_1,
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | | | all_57_27, e2, e0, simplifying with (9105), (9190)
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | | | gives:
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | | | (9193) all_57_27 = all_20_1
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_13,
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | | | all_57_15, e0, e2, simplifying with (164), (9192)
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | | | gives:
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | | | (9194) all_57_15 = all_52_13
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9189), (9194) imply:
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | | | (9195) ~ (all_52_13 = e2)
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9191), (9193) imply:
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | | | (9196) op(e0, all_20_1) = all_57_26
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (197) gives:
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | | | | (9197) all_54_7 = e3
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (260), (7530), (9197) are inconsistent by
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1727.
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | | | | (9198) all_54_7 = e2 | all_54_7 = e1 | all_54_7 = e0
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9198) gives:
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | | | | | (9199) all_54_7 = e2
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (260), (9195), (9199) are inconsistent by
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1612.
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | | | | | (9200) all_54_7 = e1 | all_54_7 = e0
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9200) gives:
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | | | | | | (9201) all_54_7 = e1
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (260), (9201) imply:
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | | | | | | (9202) all_52_13 = e1
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (9202) implies:
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | | | | | | (9203) all_52_13 = e1
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (110), (9203) imply:
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | | | | | | (9204) ~ (all_52_14 = e1)
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (9204) implies:
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | | | | | | (9205) ~ (all_52_14 = e1)
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7555), (9203) imply:
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | | | | | | (9206) ~ (all_10_1 = e1)
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (9206) implies:
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | | | | | | (9207) ~ (all_10_1 = e1)
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (201) gives:
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | (9208) all_54_3 = e3
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (7551), (9208) imply:
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | (9209) all_10_1 = e3
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7560), (9209) imply:
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | (9210) $false
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (9210) is inconsistent.
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | (9211) all_54_3 = e2 | all_54_3 = e1 | all_54_3 = e0
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9211) gives:
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9212) all_54_3 = e2
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (7551), (9212) imply:
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9213) all_10_1 = e2
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9015), (9213) imply:
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9214) $false
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (9214) is inconsistent.
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9215) all_54_3 = e1 | all_54_3 = e0
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9215) gives:
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9216) all_54_3 = e1
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (7551), (9216) imply:
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9217) all_10_1 = e1
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9207), (9217) imply:
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9218) $false
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (9218) is inconsistent.
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9219) all_54_3 = e0
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (7551), (9219) imply:
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9220) all_10_1 = e0
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7557), (9220) imply:
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9221) ~ (all_52_14 = e0)
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (193) gives:
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9222) all_54_11 = e3
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (250), (9222) imply:
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9223) all_52_14 = e3
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7531), (9223) imply:
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9224) $false
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (9224) is inconsistent.
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9225) all_54_11 = e2 | all_54_11 = e1 | all_54_11 = e0
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9225) gives:
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9226) all_54_11 = e2
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (250), (9226) imply:
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9227) all_52_14 = e2
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (126), (9227) imply:
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9228) ~ (all_52_6 = e2)
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (195) gives:
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9229) all_54_9 = e3
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (258), (9156), (9229) are inconsistent by
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1346.
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9230) all_54_9 = e2 | all_54_9 = e1 | all_54_9 = e0
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9230) gives:
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9231) all_54_9 = e2
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (258), (9228), (9231) are inconsistent by
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1225.
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9232) all_54_9 = e1 | all_54_9 = e0
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9232) gives:
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9233) all_54_9 = e1
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (258), (9233) imply:
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9234) all_52_6 = e1
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (9234) implies:
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9235) all_52_6 = e1
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9125), (9235) imply:
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9236) ~ (all_20_1 = e1)
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (9236) implies:
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9237) ~ (all_20_1 = e1)
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (191), (9105), (9123), (9126), (9171), (9188),
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9196), (9237), (function-axioms) are inconsistent
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #722.
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9238) all_54_9 = e0
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (258), (9109), (9238) are inconsistent by
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1299.
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9239) all_54_11 = e1 | all_54_11 = e0
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (250), (9205), (9221), (9239) are inconsistent by
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #978.
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | | | | | | (9240) all_54_7 = e0
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (260), (9111), (9240) are inconsistent by
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1258.
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | | End of split
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | | (9241) (all_57_21 = e3 & ~ (all_57_0 = e3) & ~
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e2) & ~ (all_57_4 = e1) & ~
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | | (all_57_6 = e0) & ~ (all_57_17 = e1) & op(e3,
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | | all_57_1) = all_57_0 & op(e3, all_57_3) =
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | | all_57_2 & op(e3, all_57_5) = all_57_4 & op(e3,
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | | all_57_7) = all_57_6 & op(e3, e3) = all_57_1 &
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_3 & op(e3, e1) = all_57_5 &
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_7 & op(e1, e3) = all_57_17 &
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e3 & $i(all_57_0) & $i(all_57_1) &
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_2) & $i(all_57_3) & $i(all_57_4) &
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_17)) | (all_57_21 = e2 & ~ (all_57_8
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_10 = e2) & ~ (all_57_12 =
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_14 = e0) & ~ (all_57_19 =
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | | e1) & op(e2, all_57_9) = all_57_8 & op(e2,
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | | all_57_11) = all_57_10 & op(e2, all_57_13) =
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | | all_57_12 & op(e2, all_57_15) = all_57_14 &
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_9 & op(e2, e2) = all_57_11 &
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_57_13 & op(e2, e0) = all_57_15
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = all_57_19 & op(e1, e1) = e2 &
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8) & $i(all_57_9) & $i(all_57_10) &
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_12) & $i(all_57_13) &
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & $i(all_57_15) & $i(all_57_19)) |
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | | (op(e0, e0) = all_57_31 & $i(all_57_31) &
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | | ((all_57_21 = e0 & ~ (all_57_23 = e1) & ~
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) &
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = all_57_23 &
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_25) = all_57_24 & op(e0,
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | | all_57_27) = all_57_26 & op(e0, all_57_29)
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | | = all_57_28 & op(e0, all_57_31) = all_57_30
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | | & op(e0, e3) = all_57_25 & op(e0, e2) =
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | | all_57_27 & op(e0, e1) = all_57_29 &
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23) & $i(all_57_24) &
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_25) & $i(all_57_26) &
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27) & $i(all_57_28) &
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29) & $i(all_57_30)) | (all_57_31
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | | = e3 & ~ (all_57_0 = e3) & ~ (all_57_2 =
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_4 = e1) & ~ (all_57_6 =
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_25 = e0) & op(e3,
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | | all_57_1) = all_57_0 & op(e3, all_57_3) =
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | | all_57_2 & op(e3, all_57_5) = all_57_4 &
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | | op(e3, all_57_7) = all_57_6 & op(e3, e3) =
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e2) = all_57_3 & op(e3,
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_5 & op(e3, e0) = all_57_7 &
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_25 & $i(all_57_0) &
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_2) & $i(all_57_3) &
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4) & $i(all_57_5) & $i(all_57_6) &
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7) & $i(all_57_25)) | (all_57_31 =
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_8 = e3) & ~ (all_57_10 =
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_12 = e1) & ~ (all_57_14
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_27 = e0) & op(e2,
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | | all_57_9) = all_57_8 & op(e2, all_57_11) =
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e2, all_57_13) = all_57_12 &
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_15) = all_57_14 & op(e2, e3) =
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | | all_57_9 & op(e2, e2) = all_57_11 & op(e2,
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_13 & op(e2, e0) = all_57_15 &
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_27 & $i(all_57_8) &
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9) & $i(all_57_10) & $i(all_57_11)
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_12) & $i(all_57_13) &
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & $i(all_57_15) &
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27)) | (all_57_31 = e1 & ~
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | | (all_57_16 = e3) & ~ (all_57_18 = e2) & ~
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_22 = e0) & ~
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | | (all_57_29 = e0) & op(e1, all_57_17) =
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | | all_57_16 & op(e1, all_57_19) = all_57_18 &
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_21) = all_57_20 & op(e1,
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | | all_57_23) = all_57_22 & op(e1, e3) =
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e1, e2) = all_57_19 & op(e1,
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_21 & op(e1, e0) = all_57_23 &
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = all_57_29 & $i(all_57_16) &
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_17) & $i(all_57_18) &
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_20) &
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_22) &
% 198.57/31.76 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23) & $i(all_57_29))))
% 198.57/31.77 | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.77 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9241) gives:
% 198.57/31.77 | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.77 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 198.57/31.77 | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.77 | | | | | | | | | | | | | | | | | | | | | | | (9242) all_57_21 = e3 & ~ (all_57_0 = e3) & ~ (all_57_2
% 198.57/31.77 | | | | | | | | | | | | | | | | | | | | | | | = e2) & ~ (all_57_4 = e1) & ~ (all_57_6 = e0)
% 198.57/31.77 | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_17 = e1) & op(e3, all_57_1) =
% 198.57/31.77 | | | | | | | | | | | | | | | | | | | | | | | all_57_0 & op(e3, all_57_3) = all_57_2 & op(e3,
% 198.57/31.77 | | | | | | | | | | | | | | | | | | | | | | | all_57_5) = all_57_4 & op(e3, all_57_7) =
% 198.57/31.77 | | | | | | | | | | | | | | | | | | | | | | | all_57_6 & op(e3, e3) = all_57_1 & op(e3, e2) =
% 198.57/31.77 | | | | | | | | | | | | | | | | | | | | | | | all_57_3 & op(e3, e1) = all_57_5 & op(e3, e0) =
% 198.57/31.77 | | | | | | | | | | | | | | | | | | | | | | | all_57_7 & op(e1, e3) = all_57_17 & op(e1, e1) =
% 198.57/31.77 | | | | | | | | | | | | | | | | | | | | | | | e3 & $i(all_57_0) & $i(all_57_1) & $i(all_57_2) &
% 198.57/31.77 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_3) & $i(all_57_4) & $i(all_57_5) &
% 198.57/31.77 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_6) & $i(all_57_7) & $i(all_57_17)
% 198.57/31.77 | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.77 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9242) implies:
% 198.57/31.77 | | | | | | | | | | | | | | | | | | | | | | | (9243) ~ (all_57_17 = e1)
% 198.57/31.77 | | | | | | | | | | | | | | | | | | | | | | | (9244) ~ (all_57_4 = e1)
% 198.57/31.77 | | | | | | | | | | | | | | | | | | | | | | | (9245) op(e1, e3) = all_57_17
% 198.57/31.77 | | | | | | | | | | | | | | | | | | | | | | | (9246) op(e3, e1) = all_57_5
% 198.57/31.77 | | | | | | | | | | | | | | | | | | | | | | | (9247) op(e3, e3) = all_57_1
% 198.57/31.77 | | | | | | | | | | | | | | | | | | | | | | | (9248) op(e3, all_57_5) = all_57_4
% 198.57/31.77 | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.77 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_2,
% 198.57/31.77 | | | | | | | | | | | | | | | | | | | | | | | all_57_17, e3, e1, simplifying with (163), (9245)
% 198.57/31.77 | | | | | | | | | | | | | | | | | | | | | | | gives:
% 198.57/31.77 | | | | | | | | | | | | | | | | | | | | | | | (9249) all_57_17 = all_52_2
% 198.57/31.77 | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.77 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e2, all_57_1,
% 198.57/31.77 | | | | | | | | | | | | | | | | | | | | | | | e3, e3, simplifying with (9023), (9247) gives:
% 198.57/31.77 | | | | | | | | | | | | | | | | | | | | | | | (9250) all_57_1 = e2
% 198.57/31.77 | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.77 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9243), (9249) imply:
% 198.57/31.77 | | | | | | | | | | | | | | | | | | | | | | | (9251) ~ (all_52_2 = e1)
% 198.57/31.77 | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.77 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (231) gives:
% 198.57/31.77 | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.77 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 198.57/31.77 | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.77 | | | | | | | | | | | | | | | | | | | | | | | | (9252) (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_2 = e1
% 198.57/31.77 | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e1)
% 198.57/31.77 | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.77 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9252) gives:
% 198.57/31.77 | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.77 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 198.57/31.77 | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.77 | | | | | | | | | | | | | | | | | | | | | | | | | (9253) all_56_0 = e1 & op(e3, e3) = e1
% 198.57/31.77 | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.77 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9253) implies:
% 198.57/31.77 | | | | | | | | | | | | | | | | | | | | | | | | | (9254) op(e3, e3) = e1
% 198.57/31.77 | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.77 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (9023), (9254), (function-axioms) are
% 198.57/31.77 | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1966.
% 198.57/31.77 | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.77 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 198.57/31.77 | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.77 | | | | | | | | | | | | | | | | | | | | | | | | | (9255) all_56_2 = e1 & op(e2, e3) = e1
% 198.57/31.77 | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.77 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9255) implies:
% 198.57/31.77 | | | | | | | | | | | | | | | | | | | | | | | | | (9256) all_56_2 = e1
% 198.57/31.77 | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.77 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (9165), (9256) are inconsistent by sub-proof
% 198.57/31.77 | | | | | | | | | | | | | | | | | | | | | | | | | #1794.
% 198.57/31.77 | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.77 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 198.57/31.77 | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.77 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 198.57/31.77 | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.77 | | | | | | | | | | | | | | | | | | | | | | | | (9257) (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_12 =
% 198.57/31.77 | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e3) = e1)
% 198.57/31.77 | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.77 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9257) gives:
% 198.57/31.77 | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.77 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 198.57/31.77 | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.77 | | | | | | | | | | | | | | | | | | | | | | | | | (9258) all_56_6 = e1 & op(e1, e3) = e1
% 198.57/31.77 | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.77 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9258) implies:
% 198.57/31.77 | | | | | | | | | | | | | | | | | | | | | | | | | (9259) op(e1, e3) = e1
% 198.57/31.77 | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.77 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (163), (9251), (9259), (function-axioms) are
% 198.57/31.77 | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1939.
% 198.57/31.77 | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.77 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 198.57/31.77 | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.77 | | | | | | | | | | | | | | | | | | | | | | | | | (9260) all_56_12 = e1 & op(e0, e3) = e1
% 198.57/31.77 | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.77 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9260) implies:
% 198.57/31.77 | | | | | | | | | | | | | | | | | | | | | | | | | (9261) all_56_12 = e1
% 198.57/31.77 | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.77 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (157), (158), (169),
% 198.57/31.77 | | | | | | | | | | | | | | | | | | | | | | | | | (206), (218), (219), (220), (222), (223), (7528),
% 198.57/31.77 | | | | | | | | | | | | | | | | | | | | | | | | | (7532), (9013), (9110), (9114), (9157), (9159),
% 198.57/31.77 | | | | | | | | | | | | | | | | | | | | | | | | | (9165), (9244), (9246), (9248), (9261),
% 198.57/31.77 | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 198.57/31.77 | | | | | | | | | | | | | | | | | | | | | | | | | #964.
% 198.57/31.77 | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.77 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 198.57/31.77 | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.77 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 198.57/31.77 | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.77 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 198.57/31.77 | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.77 | | | | | | | | | | | | | | | | | | | | | | | (9262) (all_57_21 = e2 & ~ (all_57_8 = e3) & ~
% 198.57/31.77 | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e2) & ~ (all_57_12 = e1) & ~
% 198.57/31.77 | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e0) & ~ (all_57_19 = e1) & op(e2,
% 198.57/31.77 | | | | | | | | | | | | | | | | | | | | | | | all_57_9) = all_57_8 & op(e2, all_57_11) =
% 198.57/31.77 | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e2, all_57_13) = all_57_12 &
% 198.57/31.77 | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_15) = all_57_14 & op(e2, e3) =
% 198.57/31.77 | | | | | | | | | | | | | | | | | | | | | | | all_57_9 & op(e2, e2) = all_57_11 & op(e2, e1) =
% 198.57/31.77 | | | | | | | | | | | | | | | | | | | | | | | all_57_13 & op(e2, e0) = all_57_15 & op(e1, e2)
% 198.57/31.77 | | | | | | | | | | | | | | | | | | | | | | | = all_57_19 & op(e1, e1) = e2 & $i(all_57_8) &
% 198.57/31.77 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9) & $i(all_57_10) & $i(all_57_11) &
% 198.57/31.77 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & $i(all_57_13) & $i(all_57_14) &
% 198.57/31.77 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & $i(all_57_19)) | (op(e0, e0) =
% 198.57/31.77 | | | | | | | | | | | | | | | | | | | | | | | all_57_31 & $i(all_57_31) & ((all_57_21 = e0 &
% 198.57/31.77 | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_23 = e1) & ~ (all_57_24 = e3) &
% 198.57/31.77 | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_26 = e2) & ~ (all_57_28 = e1) &
% 198.57/31.77 | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_30 = e0) & op(e1, e1) = e0 &
% 198.57/31.77 | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_23 & op(e0, all_57_25) =
% 198.57/31.77 | | | | | | | | | | | | | | | | | | | | | | | all_57_24 & op(e0, all_57_27) = all_57_26 &
% 198.57/31.77 | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_29) = all_57_28 & op(e0,
% 198.57/31.77 | | | | | | | | | | | | | | | | | | | | | | | all_57_31) = all_57_30 & op(e0, e3) =
% 198.57/31.77 | | | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_27 & op(e0,
% 198.57/31.77 | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_29 & $i(all_57_23) &
% 198.57/31.77 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_24) & $i(all_57_25) &
% 198.57/31.77 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_27) &
% 198.57/31.77 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28) & $i(all_57_29) &
% 198.57/31.77 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_31 = e3 & ~
% 198.57/31.77 | | | | | | | | | | | | | | | | | | | | | | | (all_57_0 = e3) & ~ (all_57_2 = e2) & ~
% 198.57/31.77 | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1) & ~ (all_57_6 = e0) & ~
% 198.57/31.77 | | | | | | | | | | | | | | | | | | | | | | | (all_57_25 = e0) & op(e3, all_57_1) =
% 198.57/31.77 | | | | | | | | | | | | | | | | | | | | | | | all_57_0 & op(e3, all_57_3) = all_57_2 &
% 198.57/31.77 | | | | | | | | | | | | | | | | | | | | | | | op(e3, all_57_5) = all_57_4 & op(e3,
% 198.57/31.77 | | | | | | | | | | | | | | | | | | | | | | | all_57_7) = all_57_6 & op(e3, e3) =
% 198.57/31.77 | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e2) = all_57_3 & op(e3,
% 198.57/31.77 | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_5 & op(e3, e0) = all_57_7 &
% 198.57/31.77 | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_25 & $i(all_57_0) &
% 198.57/31.77 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_2) & $i(all_57_3) &
% 198.57/31.77 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4) & $i(all_57_5) & $i(all_57_6) &
% 198.57/31.77 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7) & $i(all_57_25)) | (all_57_31 =
% 198.57/31.77 | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_8 = e3) & ~ (all_57_10 =
% 198.57/31.77 | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_12 = e1) & ~ (all_57_14
% 198.57/31.77 | | | | | | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_27 = e0) & op(e2,
% 198.57/31.77 | | | | | | | | | | | | | | | | | | | | | | | all_57_9) = all_57_8 & op(e2, all_57_11) =
% 198.57/31.77 | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e2, all_57_13) = all_57_12 &
% 198.57/31.77 | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_15) = all_57_14 & op(e2, e3) =
% 198.57/31.77 | | | | | | | | | | | | | | | | | | | | | | | all_57_9 & op(e2, e2) = all_57_11 & op(e2,
% 198.57/31.77 | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_13 & op(e2, e0) = all_57_15 &
% 198.57/31.77 | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_27 & $i(all_57_8) &
% 198.57/31.77 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9) & $i(all_57_10) & $i(all_57_11)
% 198.57/31.77 | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_12) & $i(all_57_13) &
% 198.57/31.77 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & $i(all_57_15) &
% 198.57/31.77 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27)) | (all_57_31 = e1 & ~
% 198.57/31.77 | | | | | | | | | | | | | | | | | | | | | | | (all_57_16 = e3) & ~ (all_57_18 = e2) & ~
% 198.57/31.77 | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_22 = e0) & ~
% 198.57/31.77 | | | | | | | | | | | | | | | | | | | | | | | (all_57_29 = e0) & op(e1, all_57_17) =
% 198.57/31.77 | | | | | | | | | | | | | | | | | | | | | | | all_57_16 & op(e1, all_57_19) = all_57_18 &
% 198.57/31.77 | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_21) = all_57_20 & op(e1,
% 198.57/31.77 | | | | | | | | | | | | | | | | | | | | | | | all_57_23) = all_57_22 & op(e1, e3) =
% 198.57/31.77 | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e1, e2) = all_57_19 & op(e1,
% 198.57/31.77 | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_21 & op(e1, e0) = all_57_23 &
% 198.57/31.77 | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = all_57_29 & $i(all_57_16) &
% 198.57/31.77 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_17) & $i(all_57_18) &
% 198.57/31.77 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_20) &
% 198.57/31.77 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_22) &
% 198.57/31.77 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23) & $i(all_57_29))))
% 198.57/31.77 | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.77 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9262) gives:
% 198.57/31.77 | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.77 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 198.57/31.77 | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.77 | | | | | | | | | | | | | | | | | | | | | | | | (9263) all_57_21 = e2 & ~ (all_57_8 = e3) & ~
% 198.57/31.77 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e2) & ~ (all_57_12 = e1) & ~
% 198.57/31.77 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e0) & ~ (all_57_19 = e1) & op(e2,
% 198.57/31.77 | | | | | | | | | | | | | | | | | | | | | | | | all_57_9) = all_57_8 & op(e2, all_57_11) =
% 198.57/31.77 | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e2, all_57_13) = all_57_12 & op(e2,
% 198.57/31.77 | | | | | | | | | | | | | | | | | | | | | | | | all_57_15) = all_57_14 & op(e2, e3) = all_57_9 &
% 198.57/31.77 | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_11 & op(e2, e1) = all_57_13 &
% 198.57/31.77 | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_15 & op(e1, e2) = all_57_19 &
% 198.57/31.77 | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e2 & $i(all_57_8) & $i(all_57_9) &
% 198.57/31.77 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & $i(all_57_11) & $i(all_57_12) &
% 198.57/31.77 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13) & $i(all_57_14) & $i(all_57_15) &
% 198.57/31.77 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19)
% 198.57/31.77 | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.77 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9263) implies:
% 198.57/31.77 | | | | | | | | | | | | | | | | | | | | | | | | (9264) op(e1, e1) = e2
% 198.57/31.77 | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.77 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (9159), (9264), (function-axioms) are
% 198.57/31.77 | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1919.
% 198.57/31.77 | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.77 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 198.57/31.77 | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.77 | | | | | | | | | | | | | | | | | | | | | | | | (9265) op(e0, e0) = all_57_31 & $i(all_57_31) &
% 198.57/31.77 | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_21 = e0 & ~ (all_57_23 = e1) & ~
% 198.57/31.77 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 198.57/31.77 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) &
% 198.57/31.77 | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = all_57_23 &
% 198.57/31.77 | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_25) = all_57_24 & op(e0,
% 198.57/31.77 | | | | | | | | | | | | | | | | | | | | | | | | all_57_27) = all_57_26 & op(e0, all_57_29) =
% 198.57/31.77 | | | | | | | | | | | | | | | | | | | | | | | | all_57_28 & op(e0, all_57_31) = all_57_30 &
% 198.57/31.77 | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_25 & op(e0, e2) =
% 198.57/31.77 | | | | | | | | | | | | | | | | | | | | | | | | all_57_27 & op(e0, e1) = all_57_29 &
% 198.57/31.77 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23) & $i(all_57_24) & $i(all_57_25)
% 198.57/31.77 | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_26) & $i(all_57_27) &
% 198.57/31.77 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28) & $i(all_57_29) & $i(all_57_30))
% 198.57/31.77 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e3 & ~ (all_57_0 = e3) & ~
% 198.57/31.77 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e2) & ~ (all_57_4 = e1) & ~
% 198.57/31.77 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_6 = e0) & ~ (all_57_25 = e0) & op(e3,
% 198.57/31.77 | | | | | | | | | | | | | | | | | | | | | | | | all_57_1) = all_57_0 & op(e3, all_57_3) =
% 198.57/31.77 | | | | | | | | | | | | | | | | | | | | | | | | all_57_2 & op(e3, all_57_5) = all_57_4 &
% 198.57/31.77 | | | | | | | | | | | | | | | | | | | | | | | | op(e3, all_57_7) = all_57_6 & op(e3, e3) =
% 198.57/31.77 | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e2) = all_57_3 & op(e3, e1)
% 198.57/31.77 | | | | | | | | | | | | | | | | | | | | | | | | = all_57_5 & op(e3, e0) = all_57_7 & op(e0,
% 198.57/31.77 | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_25 & $i(all_57_0) &
% 198.57/31.77 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_2) & $i(all_57_3) &
% 198.57/31.77 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4) & $i(all_57_5) & $i(all_57_6) &
% 198.57/31.77 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7) & $i(all_57_25)) | (all_57_31 =
% 198.57/31.77 | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_8 = e3) & ~ (all_57_10 = e2)
% 198.57/31.77 | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_12 = e1) & ~ (all_57_14 = e0) &
% 198.57/31.77 | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_27 = e0) & op(e2, all_57_9) =
% 198.57/31.77 | | | | | | | | | | | | | | | | | | | | | | | | all_57_8 & op(e2, all_57_11) = all_57_10 &
% 198.57/31.77 | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_13) = all_57_12 & op(e2,
% 198.57/31.77 | | | | | | | | | | | | | | | | | | | | | | | | all_57_15) = all_57_14 & op(e2, e3) =
% 198.57/31.77 | | | | | | | | | | | | | | | | | | | | | | | | all_57_9 & op(e2, e2) = all_57_11 & op(e2, e1)
% 198.57/31.77 | | | | | | | | | | | | | | | | | | | | | | | | = all_57_13 & op(e2, e0) = all_57_15 & op(e0,
% 198.57/31.77 | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_27 & $i(all_57_8) &
% 198.57/31.77 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9) & $i(all_57_10) & $i(all_57_11) &
% 198.57/31.77 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & $i(all_57_13) & $i(all_57_14)
% 198.57/31.77 | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_15) & $i(all_57_27)) | (all_57_31
% 198.57/31.77 | | | | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_16 = e3) & ~ (all_57_18 =
% 198.57/31.77 | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_20 = e1) & ~ (all_57_22 =
% 198.57/31.77 | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_29 = e0) & op(e1,
% 198.57/31.77 | | | | | | | | | | | | | | | | | | | | | | | | all_57_17) = all_57_16 & op(e1, all_57_19) =
% 198.57/31.77 | | | | | | | | | | | | | | | | | | | | | | | | all_57_18 & op(e1, all_57_21) = all_57_20 &
% 198.57/31.77 | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_23) = all_57_22 & op(e1, e3) =
% 198.57/31.77 | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e1, e2) = all_57_19 & op(e1,
% 198.57/31.77 | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_21 & op(e1, e0) = all_57_23 &
% 198.57/31.77 | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = all_57_29 & $i(all_57_16) &
% 198.57/31.77 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_17) & $i(all_57_18) & $i(all_57_19)
% 198.57/31.77 | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_20) & $i(all_57_21) &
% 198.57/31.77 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_23) &
% 198.57/31.77 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29)))
% 198.57/31.77 | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.77 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9265) implies:
% 198.57/31.77 | | | | | | | | | | | | | | | | | | | | | | | | (9266) op(e0, e0) = all_57_31
% 198.57/31.77 | | | | | | | | | | | | | | | | | | | | | | | | (9267) (all_57_21 = e0 & ~ (all_57_23 = e1) & ~
% 198.57/31.77 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 198.57/31.77 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) & op(e1,
% 198.57/31.77 | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0 & op(e1, e0) = all_57_23 & op(e0,
% 198.57/31.77 | | | | | | | | | | | | | | | | | | | | | | | | all_57_25) = all_57_24 & op(e0, all_57_27) =
% 198.57/31.77 | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e0, all_57_29) = all_57_28 &
% 198.57/31.77 | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_31) = all_57_30 & op(e0, e3) =
% 198.57/31.77 | | | | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_27 & op(e0, e1)
% 198.57/31.77 | | | | | | | | | | | | | | | | | | | | | | | | = all_57_29 & $i(all_57_23) & $i(all_57_24) &
% 198.57/31.77 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_25) & $i(all_57_26) & $i(all_57_27) &
% 198.57/31.77 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28) & $i(all_57_29) & $i(all_57_30)) |
% 198.57/31.77 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e3 & ~ (all_57_0 = e3) & ~
% 198.57/31.77 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e2) & ~ (all_57_4 = e1) & ~
% 198.57/31.77 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_6 = e0) & ~ (all_57_25 = e0) & op(e3,
% 198.57/31.77 | | | | | | | | | | | | | | | | | | | | | | | | all_57_1) = all_57_0 & op(e3, all_57_3) =
% 198.57/31.77 | | | | | | | | | | | | | | | | | | | | | | | | all_57_2 & op(e3, all_57_5) = all_57_4 & op(e3,
% 198.57/31.77 | | | | | | | | | | | | | | | | | | | | | | | | all_57_7) = all_57_6 & op(e3, e3) = all_57_1 &
% 198.57/31.77 | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_3 & op(e3, e1) = all_57_5 &
% 198.57/31.77 | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_7 & op(e0, e3) = all_57_25 &
% 198.57/31.77 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_0) & $i(all_57_1) & $i(all_57_2) &
% 198.57/31.77 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_3) & $i(all_57_4) & $i(all_57_5) &
% 198.57/31.77 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_6) & $i(all_57_7) & $i(all_57_25)) |
% 198.57/31.77 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e2 & ~ (all_57_8 = e3) & ~
% 198.57/31.77 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e2) & ~ (all_57_12 = e1) & ~
% 198.57/31.77 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e0) & ~ (all_57_27 = e0) & op(e2,
% 198.57/31.77 | | | | | | | | | | | | | | | | | | | | | | | | all_57_9) = all_57_8 & op(e2, all_57_11) =
% 198.57/31.77 | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e2, all_57_13) = all_57_12 &
% 198.57/31.77 | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_15) = all_57_14 & op(e2, e3) =
% 198.57/31.77 | | | | | | | | | | | | | | | | | | | | | | | | all_57_9 & op(e2, e2) = all_57_11 & op(e2, e1) =
% 198.57/31.77 | | | | | | | | | | | | | | | | | | | | | | | | all_57_13 & op(e2, e0) = all_57_15 & op(e0, e2)
% 198.57/31.77 | | | | | | | | | | | | | | | | | | | | | | | | = all_57_27 & $i(all_57_8) & $i(all_57_9) &
% 198.57/31.77 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & $i(all_57_11) & $i(all_57_12) &
% 198.57/31.77 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13) & $i(all_57_14) & $i(all_57_15) &
% 198.57/31.77 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27)) | (all_57_31 = e1 & ~ (all_57_16
% 198.57/31.77 | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_18 = e2) & ~ (all_57_20 =
% 198.57/31.77 | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_22 = e0) & ~ (all_57_29 =
% 198.57/31.77 | | | | | | | | | | | | | | | | | | | | | | | | e0) & op(e1, all_57_17) = all_57_16 & op(e1,
% 198.57/31.77 | | | | | | | | | | | | | | | | | | | | | | | | all_57_19) = all_57_18 & op(e1, all_57_21) =
% 198.57/31.77 | | | | | | | | | | | | | | | | | | | | | | | | all_57_20 & op(e1, all_57_23) = all_57_22 &
% 198.57/31.77 | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_17 & op(e1, e2) = all_57_19
% 198.57/31.77 | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = all_57_21 & op(e1, e0) =
% 198.57/31.77 | | | | | | | | | | | | | | | | | | | | | | | | all_57_23 & op(e0, e1) = all_57_29 &
% 198.57/31.77 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_16) & $i(all_57_17) & $i(all_57_18) &
% 198.57/31.77 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_20) & $i(all_57_21) &
% 198.57/31.77 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_23) & $i(all_57_29))
% 198.57/31.77 | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.77 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9267) gives:
% 198.57/31.77 | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.77 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 198.57/31.77 | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.77 | | | | | | | | | | | | | | | | | | | | | | | | | (9268) (all_57_21 = e0 & ~ (all_57_23 = e1) & ~
% 198.57/31.77 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 198.57/31.77 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) & op(e1,
% 198.57/31.77 | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0 & op(e1, e0) = all_57_23 & op(e0,
% 198.57/31.77 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25) = all_57_24 & op(e0, all_57_27) =
% 198.57/31.77 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e0, all_57_29) = all_57_28 &
% 198.57/31.77 | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_31) = all_57_30 & op(e0, e3) =
% 198.57/31.77 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_27 & op(e0, e1)
% 198.57/31.77 | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_29 & $i(all_57_23) & $i(all_57_24) &
% 198.57/31.77 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_25) & $i(all_57_26) & $i(all_57_27) &
% 198.57/31.77 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28) & $i(all_57_29) & $i(all_57_30)) |
% 198.57/31.77 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e3 & ~ (all_57_0 = e3) & ~
% 198.57/31.77 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e2) & ~ (all_57_4 = e1) & ~
% 198.57/31.77 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_6 = e0) & ~ (all_57_25 = e0) & op(e3,
% 198.57/31.77 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1) = all_57_0 & op(e3, all_57_3) =
% 198.57/31.77 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_2 & op(e3, all_57_5) = all_57_4 & op(e3,
% 198.57/31.77 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7) = all_57_6 & op(e3, e3) = all_57_1 &
% 198.57/31.77 | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_3 & op(e3, e1) = all_57_5 &
% 198.57/31.77 | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_7 & op(e0, e3) = all_57_25 &
% 198.57/31.77 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_0) & $i(all_57_1) & $i(all_57_2) &
% 198.57/31.77 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_3) & $i(all_57_4) & $i(all_57_5) &
% 198.57/31.77 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_6) & $i(all_57_7) & $i(all_57_25))
% 198.57/31.77 | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.77 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9268) gives:
% 198.57/31.77 | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.77 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 198.57/31.77 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.77 | | | | | | | | | | | | | | | | | | | | | | | | | | (9269) all_57_21 = e0 & ~ (all_57_23 = e1) & ~
% 198.57/31.77 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 198.57/31.77 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) & op(e1,
% 198.57/31.77 | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0 & op(e1, e0) = all_57_23 & op(e0,
% 198.57/31.77 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25) = all_57_24 & op(e0, all_57_27) =
% 198.57/31.77 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e0, all_57_29) = all_57_28 & op(e0,
% 198.57/31.77 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_31) = all_57_30 & op(e0, e3) = all_57_25
% 198.57/31.77 | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e2) = all_57_27 & op(e0, e1) = all_57_29
% 198.57/31.77 | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_23) & $i(all_57_24) & $i(all_57_25) &
% 198.57/31.77 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_27) & $i(all_57_28) &
% 198.57/31.77 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29) & $i(all_57_30)
% 198.57/31.77 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.77 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9269) implies:
% 198.57/31.77 | | | | | | | | | | | | | | | | | | | | | | | | | | (9270) op(e1, e1) = e0
% 198.57/31.77 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.77 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (9159), (9270), (function-axioms) are
% 198.57/31.77 | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1918.
% 198.57/31.77 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.77 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 198.57/31.77 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.77 | | | | | | | | | | | | | | | | | | | | | | | | | | (9271) all_57_31 = e3 & ~ (all_57_0 = e3) & ~ (all_57_2
% 198.57/31.77 | | | | | | | | | | | | | | | | | | | | | | | | | | = e2) & ~ (all_57_4 = e1) & ~ (all_57_6 = e0)
% 198.57/31.77 | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_25 = e0) & op(e3, all_57_1) =
% 198.57/31.77 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_0 & op(e3, all_57_3) = all_57_2 & op(e3,
% 198.57/31.77 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_5) = all_57_4 & op(e3, all_57_7) =
% 198.57/31.77 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_6 & op(e3, e3) = all_57_1 & op(e3, e2) =
% 198.57/31.77 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 & op(e3, e1) = all_57_5 & op(e3, e0) =
% 198.57/31.77 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7 & op(e0, e3) = all_57_25 & $i(all_57_0) &
% 198.57/31.77 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_2) & $i(all_57_3) &
% 198.57/31.77 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4) & $i(all_57_5) & $i(all_57_6) &
% 198.57/31.77 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7) & $i(all_57_25)
% 198.57/31.77 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.77 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9271) implies:
% 198.57/31.77 | | | | | | | | | | | | | | | | | | | | | | | | | | (9272) all_57_31 = e3
% 198.57/31.77 | | | | | | | | | | | | | | | | | | | | | | | | | | (9273) ~ (all_57_25 = e0)
% 198.57/31.77 | | | | | | | | | | | | | | | | | | | | | | | | | | (9274) ~ (all_57_4 = e1)
% 198.57/31.77 | | | | | | | | | | | | | | | | | | | | | | | | | | (9275) op(e0, e3) = all_57_25
% 198.57/31.77 | | | | | | | | | | | | | | | | | | | | | | | | | | (9276) op(e3, e1) = all_57_5
% 198.57/31.77 | | | | | | | | | | | | | | | | | | | | | | | | | | (9277) op(e3, all_57_5) = all_57_4
% 198.57/31.77 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.77 | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_3,
% 198.57/31.77 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25, e3, e0, simplifying with (159), (9275)
% 198.57/31.77 | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 198.57/31.77 | | | | | | | | | | | | | | | | | | | | | | | | | | (9278) all_57_25 = all_52_3
% 198.57/31.77 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.77 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9273), (9278) imply:
% 198.57/31.77 | | | | | | | | | | | | | | | | | | | | | | | | | | (9279) ~ (all_52_3 = e0)
% 198.57/31.77 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.77 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (206) gives:
% 198.57/31.77 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.77 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 198.57/31.77 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | (9280) all_56_15 = e0 & op(e0, e0) = e0
% 198.57/31.77 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9280) implies:
% 198.57/31.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | (9281) op(e0, e0) = e0
% 198.57/31.77 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (7532), (9281), (function-axioms) are
% 198.57/31.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1657.
% 198.57/31.77 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.77 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 198.57/31.77 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | (9282) ((all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 =
% 198.57/31.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_56_11 = e0 &
% 198.57/31.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e0)) & ((all_56_12 = e0 & op(e0,
% 198.57/31.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e0) | (all_56_13 = e0 & op(e0, e2) =
% 198.57/31.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) | (all_56_14 = e0 & op(e0, e1) = e0))
% 198.57/31.77 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9282) implies:
% 198.57/31.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | (9283) (all_56_12 = e0 & op(e0, e3) = e0) | (all_56_13 =
% 198.57/31.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0) | (all_56_14 = e0 & op(e0,
% 198.57/31.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0)
% 198.57/31.77 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9283) gives:
% 198.57/31.77 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 198.57/31.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9284) all_56_12 = e0 & op(e0, e3) = e0
% 198.57/31.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9284) implies:
% 198.57/31.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9285) op(e0, e3) = e0
% 198.57/31.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (159), (9279), (9285), (function-axioms) are
% 198.57/31.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1896.
% 198.57/31.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 198.57/31.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9286) (all_56_13 = e0 & op(e0, e2) = e0) | (all_56_14 =
% 198.57/31.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0)
% 198.57/31.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9286) gives:
% 198.57/31.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 198.57/31.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9287) all_56_13 = e0 & op(e0, e2) = e0
% 198.57/31.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9287) implies:
% 198.57/31.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9288) op(e0, e2) = e0
% 198.57/31.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (158), (9110), (9288), (function-axioms) are
% 198.57/31.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1895.
% 198.57/31.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 198.57/31.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9289) all_56_14 = e0 & op(e0, e1) = e0
% 198.57/31.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9289) implies:
% 198.57/31.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9290) all_56_14 = e0
% 198.57/31.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9291) op(e0, e1) = e0
% 198.57/31.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (8), (9), (157), (169), (218),
% 198.57/31.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (219), (220), (222), (223), (7528), (9013),
% 198.57/31.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9114), (9157), (9159), (9165), (9274), (9276),
% 198.57/31.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9277), (9290), (9291), (function-axioms) are
% 198.57/31.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #965.
% 198.57/31.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 198.57/31.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 198.57/31.77 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.77 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 198.57/31.77 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.77 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 198.57/31.77 | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.77 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 198.57/31.77 | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.77 | | | | | | | | | | | | | | | | | | | | | | | | | (9292) (all_57_31 = e2 & ~ (all_57_8 = e3) & ~
% 198.57/31.77 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e2) & ~ (all_57_12 = e1) & ~
% 198.57/31.77 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e0) & ~ (all_57_27 = e0) & op(e2,
% 198.57/31.77 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_9) = all_57_8 & op(e2, all_57_11) =
% 198.57/31.77 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e2, all_57_13) = all_57_12 &
% 198.57/31.77 | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_15) = all_57_14 & op(e2, e3) =
% 198.57/31.77 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_9 & op(e2, e2) = all_57_11 & op(e2, e1) =
% 198.57/31.77 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_13 & op(e2, e0) = all_57_15 & op(e0, e2)
% 198.57/31.77 | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_27 & $i(all_57_8) & $i(all_57_9) &
% 198.57/31.77 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & $i(all_57_11) & $i(all_57_12) &
% 198.57/31.77 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13) & $i(all_57_14) & $i(all_57_15) &
% 198.57/31.77 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27)) | (all_57_31 = e1 & ~ (all_57_16
% 198.57/31.77 | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_18 = e2) & ~ (all_57_20 =
% 198.57/31.77 | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_22 = e0) & ~ (all_57_29 =
% 198.57/31.77 | | | | | | | | | | | | | | | | | | | | | | | | | e0) & op(e1, all_57_17) = all_57_16 & op(e1,
% 198.57/31.77 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_19) = all_57_18 & op(e1, all_57_21) =
% 198.57/31.77 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20 & op(e1, all_57_23) = all_57_22 &
% 198.57/31.77 | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_17 & op(e1, e2) = all_57_19
% 198.57/31.77 | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = all_57_21 & op(e1, e0) =
% 198.57/31.77 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23 & op(e0, e1) = all_57_29 &
% 198.57/31.77 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_16) & $i(all_57_17) & $i(all_57_18) &
% 198.57/31.77 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_20) & $i(all_57_21) &
% 198.57/31.77 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_23) & $i(all_57_29))
% 198.57/31.77 | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.77 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9292) gives:
% 198.57/31.77 | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.77 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 198.57/31.77 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.77 | | | | | | | | | | | | | | | | | | | | | | | | | | (9293) all_57_31 = e2 & ~ (all_57_8 = e3) & ~
% 198.57/31.77 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e2) & ~ (all_57_12 = e1) & ~
% 198.57/31.77 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e0) & ~ (all_57_27 = e0) & op(e2,
% 198.57/31.77 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_9) = all_57_8 & op(e2, all_57_11) =
% 198.57/31.77 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e2, all_57_13) = all_57_12 & op(e2,
% 198.57/31.77 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15) = all_57_14 & op(e2, e3) = all_57_9 &
% 198.57/31.77 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_11 & op(e2, e1) = all_57_13 &
% 198.57/31.77 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_15 & op(e0, e2) = all_57_27 &
% 198.57/31.77 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8) & $i(all_57_9) & $i(all_57_10) &
% 198.57/31.77 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_12) & $i(all_57_13) &
% 198.57/31.77 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & $i(all_57_15) & $i(all_57_27)
% 198.57/31.77 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.77 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9293) implies:
% 198.57/31.77 | | | | | | | | | | | | | | | | | | | | | | | | | | (9294) all_57_31 = e2
% 198.57/31.77 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.77 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9266), (9294) imply:
% 198.57/31.77 | | | | | | | | | | | | | | | | | | | | | | | | | | (9295) op(e0, e0) = e2
% 198.57/31.77 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.77 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (7532), (9295), (function-axioms) are
% 198.57/31.77 | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1838.
% 198.57/31.77 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.77 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 198.57/31.77 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.77 | | | | | | | | | | | | | | | | | | | | | | | | | | (9296) all_57_31 = e1 & ~ (all_57_16 = e3) & ~
% 198.57/31.77 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_18 = e2) & ~ (all_57_20 = e1) & ~
% 198.57/31.77 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_22 = e0) & ~ (all_57_29 = e0) & op(e1,
% 198.57/31.77 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17) = all_57_16 & op(e1, all_57_19) =
% 198.57/31.77 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_18 & op(e1, all_57_21) = all_57_20 & op(e1,
% 198.57/31.77 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23) = all_57_22 & op(e1, e3) = all_57_17
% 198.57/31.77 | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = all_57_19 & op(e1, e1) = all_57_21
% 198.57/31.77 | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e0) = all_57_23 & op(e0, e1) = all_57_29
% 198.57/31.77 | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_16) & $i(all_57_17) & $i(all_57_18) &
% 198.57/31.77 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_20) & $i(all_57_21) &
% 198.57/31.77 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_23) & $i(all_57_29)
% 198.57/31.77 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.77 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9296) implies:
% 198.57/31.77 | | | | | | | | | | | | | | | | | | | | | | | | | | (9297) all_57_31 = e1
% 198.57/31.77 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.77 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9266), (9297) imply:
% 198.57/31.77 | | | | | | | | | | | | | | | | | | | | | | | | | | (9298) op(e0, e0) = e1
% 198.57/31.77 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.77 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (7532), (9298), (function-axioms) are
% 198.57/31.77 | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1699.
% 198.57/31.77 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.77 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 198.57/31.77 | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.77 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 198.57/31.77 | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.77 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 198.57/31.77 | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.77 | | | | | | | | | | | | | | | | | | | | | | End of split
% 198.57/31.77 | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.77 | | | | | | | | | | | | | | | | | | | | | End of split
% 198.57/31.77 | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.77 | | | | | | | | | | | | | | | | | | | | End of split
% 198.57/31.77 | | | | | | | | | | | | | | | | | | | |
% 198.57/31.77 | | | | | | | | | | | | | | | | | | | Case 2:
% 198.57/31.77 | | | | | | | | | | | | | | | | | | | |
% 198.57/31.77 | | | | | | | | | | | | | | | | | | | | (9299) all_56_3 = e3 & op(e2, e2) = e3
% 198.57/31.77 | | | | | | | | | | | | | | | | | | | |
% 198.57/31.77 | | | | | | | | | | | | | | | | | | | | ALPHA: (9299) implies:
% 198.57/31.77 | | | | | | | | | | | | | | | | | | | | (9300) op(e2, e2) = e3
% 198.57/31.77 | | | | | | | | | | | | | | | | | | | |
% 198.57/31.77 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (9114), (9300), (function-axioms) are
% 198.57/31.77 | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1661.
% 198.57/31.77 | | | | | | | | | | | | | | | | | | | |
% 198.57/31.77 | | | | | | | | | | | | | | | | | | | End of split
% 198.57/31.77 | | | | | | | | | | | | | | | | | | |
% 198.57/31.77 | | | | | | | | | | | | | | | | | | Case 2:
% 198.57/31.77 | | | | | | | | | | | | | | | | | | |
% 198.57/31.77 | | | | | | | | | | | | | | | | | | | (9301) (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 =
% 198.57/31.77 | | | | | | | | | | | | | | | | | | | e3 & op(e2, e0) = e3)
% 198.57/31.77 | | | | | | | | | | | | | | | | | | |
% 198.57/31.77 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (165), (7530), (9158), (9301),
% 198.57/31.77 | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 198.57/31.77 | | | | | | | | | | | | | | | | | | | #1658.
% 198.57/31.77 | | | | | | | | | | | | | | | | | | |
% 198.57/31.77 | | | | | | | | | | | | | | | | | | End of split
% 198.57/31.77 | | | | | | | | | | | | | | | | | |
% 198.57/31.77 | | | | | | | | | | | | | | | | | Case 2:
% 198.57/31.77 | | | | | | | | | | | | | | | | | |
% 198.57/31.77 | | | | | | | | | | | | | | | | | | (9302) all_56_3 = e3 & op(e2, e2) = e3
% 198.57/31.77 | | | | | | | | | | | | | | | | | |
% 198.57/31.77 | | | | | | | | | | | | | | | | | | ALPHA: (9302) implies:
% 198.57/31.77 | | | | | | | | | | | | | | | | | | (9303) op(e2, e2) = e3
% 198.57/31.77 | | | | | | | | | | | | | | | | | |
% 198.57/31.77 | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (9114), (9303), (function-axioms) are
% 198.57/31.77 | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1661.
% 198.57/31.77 | | | | | | | | | | | | | | | | | |
% 198.57/31.77 | | | | | | | | | | | | | | | | | End of split
% 198.57/31.77 | | | | | | | | | | | | | | | | |
% 198.57/31.77 | | | | | | | | | | | | | | | | Case 2:
% 198.57/31.77 | | | | | | | | | | | | | | | | |
% 198.57/31.77 | | | | | | | | | | | | | | | | | (9304) (all_56_7 = e3 & op(e1, e2) = e3) | (all_56_13 =
% 198.57/31.77 | | | | | | | | | | | | | | | | | e3 & op(e0, e2) = e3)
% 198.57/31.77 | | | | | | | | | | | | | | | | |
% 198.57/31.77 | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (162), (206), (207),
% 198.57/31.77 | | | | | | | | | | | | | | | | | (208), (7532), (9156), (9304), (function-axioms)
% 198.57/31.77 | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #869.
% 198.57/31.77 | | | | | | | | | | | | | | | | |
% 198.57/31.77 | | | | | | | | | | | | | | | | End of split
% 198.57/31.77 | | | | | | | | | | | | | | | |
% 198.57/31.77 | | | | | | | | | | | | | | | End of split
% 198.57/31.77 | | | | | | | | | | | | | | |
% 198.57/31.77 | | | | | | | | | | | | | | End of split
% 198.57/31.77 | | | | | | | | | | | | | |
% 198.57/31.77 | | | | | | | | | | | | | End of split
% 198.57/31.77 | | | | | | | | | | | | |
% 198.57/31.77 | | | | | | | | | | | | Case 2:
% 198.57/31.77 | | | | | | | | | | | | |
% 198.57/31.77 | | | | | | | | | | | | | (9305) all_16_2 = e3
% 198.57/31.77 | | | | | | | | | | | | | (9306) op(e3, e2) = all_16_1 & $i(all_16_1) & ( ~
% 198.57/31.77 | | | | | | | | | | | | | (all_16_1 = e1) | ( ~ (all_16_0 = e0) & op(e1,
% 198.57/31.77 | | | | | | | | | | | | | e3) = all_16_0 & $i(all_16_0)))
% 198.57/31.77 | | | | | | | | | | | | |
% 198.57/31.77 | | | | | | | | | | | | | ALPHA: (9306) implies:
% 198.57/31.77 | | | | | | | | | | | | | (9307) op(e3, e2) = all_16_1
% 198.57/31.77 | | | | | | | | | | | | |
% 198.57/31.77 | | | | | | | | | | | | | COMBINE_EQS: (328), (9305) imply:
% 198.57/31.77 | | | | | | | | | | | | | (9308) all_6_2 = e3
% 198.57/31.77 | | | | | | | | | | | | |
% 198.57/31.77 | | | | | | | | | | | | | SIMP: (9308) implies:
% 198.57/31.77 | | | | | | | | | | | | | (9309) all_6_2 = e3
% 198.57/31.77 | | | | | | | | | | | | |
% 198.57/31.77 | | | | | | | | | | | | | COMBINE_EQS: (332), (9309) imply:
% 198.57/31.77 | | | | | | | | | | | | | (9310) all_38_2 = e3
% 198.57/31.77 | | | | | | | | | | | | |
% 198.57/31.77 | | | | | | | | | | | | | REDUCE: (351), (9309) imply:
% 198.57/31.77 | | | | | | | | | | | | | (9311) ~ (all_52_4 = e3)
% 198.57/31.77 | | | | | | | | | | | | |
% 198.57/31.77 | | | | | | | | | | | | | REDUCE: (9030), (9309) imply:
% 198.57/31.77 | | | | | | | | | | | | | (9312) ~ (all_14_1 = e3)
% 198.57/31.77 | | | | | | | | | | | | |
% 198.57/31.77 | | | | | | | | | | | | | REDUCE: (39), (9309) imply:
% 198.57/31.77 | | | | | | | | | | | | | (9313) op(e2, e2) = e3
% 198.57/31.77 | | | | | | | | | | | | |
% 198.57/31.77 | | | | | | | | | | | | | BETA: splitting (88) gives:
% 198.57/31.77 | | | | | | | | | | | | |
% 198.57/31.77 | | | | | | | | | | | | | Case 1:
% 198.57/31.77 | | | | | | | | | | | | | |
% 198.57/31.77 | | | | | | | | | | | | | | (9314) ~ (all_38_2 = e3)
% 198.57/31.77 | | | | | | | | | | | | | |
% 198.57/31.77 | | | | | | | | | | | | | | REDUCE: (9310), (9314) imply:
% 198.57/31.77 | | | | | | | | | | | | | | (9315) $false
% 198.57/31.77 | | | | | | | | | | | | | |
% 198.57/31.77 | | | | | | | | | | | | | | CLOSE: (9315) is inconsistent.
% 198.57/31.77 | | | | | | | | | | | | | |
% 198.57/31.77 | | | | | | | | | | | | | Case 2:
% 198.57/31.77 | | | | | | | | | | | | | |
% 198.57/31.77 | | | | | | | | | | | | | | (9316) op(e3, e2) = all_38_1 & $i(all_38_1) & ( ~
% 198.57/31.77 | | | | | | | | | | | | | | (all_38_1 = e0) | ( ~ (all_38_0 = e1) & op(e0,
% 198.57/31.77 | | | | | | | | | | | | | | e3) = all_38_0 & $i(all_38_0)))
% 198.57/31.77 | | | | | | | | | | | | | |
% 198.57/31.77 | | | | | | | | | | | | | | ALPHA: (9316) implies:
% 198.57/31.77 | | | | | | | | | | | | | | (9317) op(e3, e2) = all_38_1
% 198.57/31.77 | | | | | | | | | | | | | |
% 198.57/31.77 | | | | | | | | | | | | | | BETA: splitting (235) gives:
% 198.57/31.77 | | | | | | | | | | | | | |
% 198.57/31.77 | | | | | | | | | | | | | | Case 1:
% 198.57/31.77 | | | | | | | | | | | | | | |
% 198.57/31.77 | | | | | | | | | | | | | | | (9318) (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_2 = e3
% 198.57/31.77 | | | | | | | | | | | | | | | & op(e2, e3) = e3)
% 198.57/31.77 | | | | | | | | | | | | | | |
% 198.57/31.77 | | | | | | | | | | | | | | | BETA: splitting (9318) gives:
% 198.57/31.77 | | | | | | | | | | | | | | |
% 198.57/31.77 | | | | | | | | | | | | | | | Case 1:
% 198.57/31.77 | | | | | | | | | | | | | | | |
% 198.57/31.77 | | | | | | | | | | | | | | | | (9319) all_56_0 = e3 & op(e3, e3) = e3
% 198.57/31.77 | | | | | | | | | | | | | | | |
% 198.57/31.77 | | | | | | | | | | | | | | | | REF_CLOSE: (9), (9022), (9319) are inconsistent by sub-proof
% 198.57/31.77 | | | | | | | | | | | | | | | | #1645.
% 198.57/31.77 | | | | | | | | | | | | | | | |
% 198.57/31.77 | | | | | | | | | | | | | | | Case 2:
% 198.57/31.77 | | | | | | | | | | | | | | | |
% 198.57/31.77 | | | | | | | | | | | | | | | | (9320) all_56_2 = e3 & op(e2, e3) = e3
% 198.57/31.77 | | | | | | | | | | | | | | | |
% 198.57/31.77 | | | | | | | | | | | | | | | | REF_CLOSE: (9007), (9312), (9320), (function-axioms) are
% 198.57/31.77 | | | | | | | | | | | | | | | | inconsistent by sub-proof #934.
% 198.57/31.77 | | | | | | | | | | | | | | | |
% 198.57/31.77 | | | | | | | | | | | | | | | End of split
% 198.57/31.77 | | | | | | | | | | | | | | |
% 198.57/31.77 | | | | | | | | | | | | | | Case 2:
% 198.57/31.77 | | | | | | | | | | | | | | |
% 198.57/31.77 | | | | | | | | | | | | | | | (9321) (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_12 =
% 198.57/31.77 | | | | | | | | | | | | | | | e3 & op(e0, e3) = e3)
% 198.57/31.77 | | | | | | | | | | | | | | |
% 198.57/31.77 | | | | | | | | | | | | | | | BETA: splitting (9321) gives:
% 198.57/31.77 | | | | | | | | | | | | | | |
% 198.57/31.77 | | | | | | | | | | | | | | | Case 1:
% 198.57/31.77 | | | | | | | | | | | | | | | |
% 198.57/31.77 | | | | | | | | | | | | | | | | (9322) all_56_6 = e3 & op(e1, e3) = e3
% 198.57/31.77 | | | | | | | | | | | | | | | |
% 198.57/31.77 | | | | | | | | | | | | | | | | ALPHA: (9322) implies:
% 198.57/31.77 | | | | | | | | | | | | | | | | (9323) all_56_6 = e3
% 198.57/31.77 | | | | | | | | | | | | | | | | (9324) op(e1, e3) = e3
% 198.57/31.77 | | | | | | | | | | | | | | | |
% 198.57/31.77 | | | | | | | | | | | | | | | | BETA: splitting (236) gives:
% 198.57/31.77 | | | | | | | | | | | | | | | |
% 198.57/31.77 | | | | | | | | | | | | | | | | Case 1:
% 198.57/31.77 | | | | | | | | | | | | | | | | |
% 198.57/31.77 | | | | | | | | | | | | | | | | | (9325) (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_1 = e3
% 198.57/31.77 | | | | | | | | | | | | | | | | | & op(e3, e2) = e3)
% 198.57/31.78 | | | | | | | | | | | | | | | | |
% 198.57/31.78 | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (170), (9022), (9311), (9325),
% 198.57/31.78 | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 198.57/31.78 | | | | | | | | | | | | | | | | | #1460.
% 198.57/31.78 | | | | | | | | | | | | | | | | |
% 198.57/31.78 | | | | | | | | | | | | | | | | Case 2:
% 198.57/31.78 | | | | | | | | | | | | | | | | |
% 198.57/31.78 | | | | | | | | | | | | | | | | | (9326) (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_9 = e3
% 198.57/31.78 | | | | | | | | | | | | | | | | | & op(e3, e0) = e3)
% 198.57/31.78 | | | | | | | | | | | | | | | | |
% 198.57/31.78 | | | | | | | | | | | | | | | | | BETA: splitting (9326) gives:
% 198.57/31.78 | | | | | | | | | | | | | | | | |
% 198.57/31.78 | | | | | | | | | | | | | | | | | Case 1:
% 198.57/31.78 | | | | | | | | | | | | | | | | | |
% 198.57/31.78 | | | | | | | | | | | | | | | | | | (9327) all_56_4 = e3 & op(e3, e1) = e3
% 198.57/31.78 | | | | | | | | | | | | | | | | | |
% 198.57/31.78 | | | | | | | | | | | | | | | | | | ALPHA: (9327) implies:
% 198.57/31.78 | | | | | | | | | | | | | | | | | | (9328) all_56_4 = e3
% 198.57/31.78 | | | | | | | | | | | | | | | | | | (9329) op(e3, e1) = e3
% 198.57/31.78 | | | | | | | | | | | | | | | | | |
% 198.57/31.78 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_2, e3,
% 198.57/31.78 | | | | | | | | | | | | | | | | | | e3, e1, simplifying with (163), (9324) gives:
% 198.57/31.78 | | | | | | | | | | | | | | | | | | (9330) all_52_2 = e3
% 198.57/31.78 | | | | | | | | | | | | | | | | | |
% 198.57/31.78 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_8, e3,
% 198.57/31.78 | | | | | | | | | | | | | | | | | | e1, e3, simplifying with (169), (9329) gives:
% 198.57/31.78 | | | | | | | | | | | | | | | | | | (9331) all_52_8 = e3
% 198.57/31.78 | | | | | | | | | | | | | | | | | |
% 198.57/31.78 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_4,
% 198.57/31.78 | | | | | | | | | | | | | | | | | | all_16_1, e2, e3, simplifying with (170), (9307)
% 198.57/31.78 | | | | | | | | | | | | | | | | | | gives:
% 198.57/31.78 | | | | | | | | | | | | | | | | | | (9332) all_52_4 = all_16_1
% 198.57/31.78 | | | | | | | | | | | | | | | | | |
% 198.57/31.78 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_4,
% 198.57/31.78 | | | | | | | | | | | | | | | | | | all_38_1, e2, e3, simplifying with (170), (9317)
% 198.57/31.78 | | | | | | | | | | | | | | | | | | gives:
% 198.57/31.78 | | | | | | | | | | | | | | | | | | (9333) all_52_4 = all_38_1
% 198.57/31.78 | | | | | | | | | | | | | | | | | |
% 198.57/31.78 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (9332), (9333) imply:
% 198.57/31.78 | | | | | | | | | | | | | | | | | | (9334) all_38_1 = all_16_1
% 198.57/31.78 | | | | | | | | | | | | | | | | | |
% 198.57/31.78 | | | | | | | | | | | | | | | | | | REDUCE: (141), (9330) imply:
% 198.57/31.78 | | | | | | | | | | | | | | | | | | (9335) ~ (all_52_14 = e3)
% 198.57/31.78 | | | | | | | | | | | | | | | | | |
% 198.57/31.78 | | | | | | | | | | | | | | | | | | REDUCE: (7552), (9332) imply:
% 198.57/31.78 | | | | | | | | | | | | | | | | | | (9336) ~ (all_16_1 = all_10_1)
% 198.57/31.78 | | | | | | | | | | | | | | | | | |
% 198.57/31.78 | | | | | | | | | | | | | | | | | | REDUCE: (9311), (9332) imply:
% 198.57/31.78 | | | | | | | | | | | | | | | | | | (9337) ~ (all_16_1 = e3)
% 198.57/31.78 | | | | | | | | | | | | | | | | | |
% 198.57/31.78 | | | | | | | | | | | | | | | | | | REDUCE: (9012), (9332) imply:
% 198.57/31.78 | | | | | | | | | | | | | | | | | | (9338) ~ (all_16_1 = e2)
% 198.57/31.78 | | | | | | | | | | | | | | | | | |
% 198.57/31.78 | | | | | | | | | | | | | | | | | | REDUCE: (7553), (9331) imply:
% 198.57/31.78 | | | | | | | | | | | | | | | | | | (9339) ~ (all_10_1 = e3)
% 198.57/31.78 | | | | | | | | | | | | | | | | | |
% 198.57/31.78 | | | | | | | | | | | | | | | | | | REDUCE: (362), (9331) imply:
% 198.57/31.78 | | | | | | | | | | | | | | | | | | (9340) ~ (all_4_2 = e3)
% 198.57/31.78 | | | | | | | | | | | | | | | | | |
% 198.57/31.78 | | | | | | | | | | | | | | | | | | SIMP: (9340) implies:
% 198.57/31.78 | | | | | | | | | | | | | | | | | | (9341) ~ (all_4_2 = e3)
% 198.57/31.78 | | | | | | | | | | | | | | | | | |
% 198.57/31.78 | | | | | | | | | | | | | | | | | | BETA: splitting (194) gives:
% 198.57/31.78 | | | | | | | | | | | | | | | | | |
% 198.57/31.78 | | | | | | | | | | | | | | | | | | Case 1:
% 198.57/31.78 | | | | | | | | | | | | | | | | | | |
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | (9342) all_54_10 = e3
% 198.57/31.78 | | | | | | | | | | | | | | | | | | |
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (335), (9341), (9342) are inconsistent by
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | sub-proof #1974.
% 198.57/31.78 | | | | | | | | | | | | | | | | | | |
% 198.57/31.78 | | | | | | | | | | | | | | | | | | Case 2:
% 198.57/31.78 | | | | | | | | | | | | | | | | | | |
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | (9343) ~ (all_54_10 = e3)
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | (9344) all_54_10 = e2 | all_54_10 = e1 | all_54_10 = e0
% 198.57/31.78 | | | | | | | | | | | | | | | | | | |
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | BETA: splitting (9344) gives:
% 198.57/31.78 | | | | | | | | | | | | | | | | | | |
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | Case 1:
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | |
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | (9345) all_54_10 = e2
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | |
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (335), (375), (9345) are inconsistent by sub-proof
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | #1973.
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | |
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | Case 2:
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | |
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | (9346) ~ (all_54_10 = e2)
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | (9347) all_54_10 = e1 | all_54_10 = e0
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | |
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | BETA: splitting (9347) gives:
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | |
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | Case 1:
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | (9348) all_54_10 = e1
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (335), (9348) imply:
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | (9349) all_4_2 = e1
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | SIMP: (9349) implies:
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | (9350) all_4_2 = e1
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | REDUCE: (360), (9350) imply:
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | (9351) ~ (all_52_6 = e1)
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | REDUCE: (367), (9350) imply:
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | (9352) ~ (all_52_14 = e1)
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | REDUCE: (9341), (9350) imply:
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | (9353) ~ (e3 = e1)
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | REDUCE: (375), (9350) imply:
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | (9354) ~ (e2 = e1)
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | REDUCE: (36), (9350) imply:
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | (9355) op(e1, e1) = e1
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (208) gives:
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | (9356) (all_56_12 = e2 & op(e0, e3) = e2) | (all_56_13 =
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e2)
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9356) gives:
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | (9357) all_56_12 = e2 & op(e0, e3) = e2
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (159), (9011), (9357), (function-axioms) are
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1847.
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | (9358) all_56_13 = e2 & op(e0, e2) = e2
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9358) implies:
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | (9359) all_56_13 = e2
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | (9360) op(e0, e2) = e2
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (226) gives:
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | (9361) (all_56_1 = e1 & op(e3, e2) = e1) | (all_56_3 = e1
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1)
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9361) gives:
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | (9362) all_56_1 = e1 & op(e3, e2) = e1
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9362) implies:
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | (9363) all_56_1 = e1
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | (9364) op(e3, e2) = e1
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (225) gives:
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | | (9365) (all_56_1 = e0 & op(e3, e2) = e0) | (all_56_3 = e0
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e0)
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (7), (9313), (9363), (9365),
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | | #906.
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | | (9366) (all_56_7 = e0 & op(e1, e2) = e0) | (all_56_13 =
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0)
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9366) gives:
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | (9367) all_56_7 = e0 & op(e1, e2) = e0
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9367) implies:
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | (9368) all_56_7 = e0
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (215) gives:
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9369) (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_7 = e2
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e2)
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9369) gives:
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9370) all_56_6 = e2 & op(e1, e3) = e2
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (163), (9010), (9370), (function-axioms) are
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1306.
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9371) all_56_7 = e2 & op(e1, e2) = e2
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (9368), (9371) are inconsistent by sub-proof
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1193.
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9372) (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_11 =
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e1, e0) = e2)
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9372) gives:
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9373) all_56_8 = e2 & op(e1, e1) = e2
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9373) implies:
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9374) op(e1, e1) = e2
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (9355), (9374), (function-axioms) are
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1957.
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9375) all_56_11 = e2 & op(e1, e0) = e2
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9375) implies:
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9376) all_56_11 = e2
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9377) op(e1, e0) = e2
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (207) gives:
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9378) (all_56_12 = e1 & op(e0, e3) = e1) | (all_56_13 =
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e2) = e1)
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9378) gives:
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9379) all_56_12 = e1 & op(e0, e3) = e1
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9379) implies:
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9380) all_56_12 = e1
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (230) gives:
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9381) (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_1 = e0
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e0)
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9381) gives:
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9382) all_56_0 = e0 & op(e3, e3) = e0
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9382) implies:
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9383) op(e3, e3) = e0
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (9023), (9383), (function-axioms) are
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1964.
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9384) all_56_1 = e0 & op(e3, e2) = e0
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9384) implies:
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9385) all_56_1 = e0
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (8), (226), (9313), (9359), (9368),
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9385), (function-axioms) are inconsistent by
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1192.
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9386) (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_9 = e0
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e0)
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9386) gives:
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9387) all_56_4 = e0 & op(e3, e1) = e0
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (9328), (9387) are inconsistent by sub-proof
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1164.
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9388) all_56_9 = e0 & op(e3, e0) = e0
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9388) implies:
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9389) all_56_9 = e0
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9390) op(e3, e0) = e0
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (210) gives:
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9391) (all_56_9 = e1 & op(e3, e0) = e1) | (all_56_10 =
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e2, e0) = e1)
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9391) gives:
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9392) all_56_9 = e1 & op(e3, e0) = e1
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9392) implies:
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9393) all_56_9 = e1
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (9389), (9393) imply:
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9394) e1 = e0
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (9394) implies:
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9395) e1 = e0
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (9363), (9395) imply:
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9396) all_56_1 = e0
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (8), (226), (9313), (9359), (9368),
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9396), (function-axioms) are inconsistent by
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1192.
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9397) all_56_10 = e1 & op(e2, e0) = e1
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9397) implies:
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9398) all_56_10 = e1
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9399) op(e2, e0) = e1
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (223) gives:
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9400) (all_56_2 = e2 & op(e2, e3) = e2) | (all_56_3 = e2
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e2)
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (167), (9009), (9313), (9400),
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #909.
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9401) (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_10 =
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2)
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9401) gives:
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9402) all_56_5 = e2 & op(e2, e1) = e2
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9402) implies:
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9403) all_56_5 = e2
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (221) gives:
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9404) (all_56_2 = e0 & op(e2, e3) = e0) | (all_56_3 = e0
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e0)
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9404) gives:
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9405) all_56_2 = e0 & op(e2, e3) = e0
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9405) implies:
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9406) all_56_2 = e0
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (217) gives:
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9407) (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_5 = e0
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e0)
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9407) gives:
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9408) all_56_4 = e0 & op(e3, e1) = e0
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (9328), (9408) are inconsistent by sub-proof
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1164.
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9409) all_56_5 = e0 & op(e2, e1) = e0
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (9403), (9409) are inconsistent by sub-proof
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #901.
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9410) (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_14 =
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0)
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9410) gives:
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9411) all_56_8 = e0 & op(e1, e1) = e0
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9411) implies:
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9412) op(e1, e1) = e0
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (9355), (9412), (function-axioms) are
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1956.
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9413) all_56_14 = e0 & op(e0, e1) = e0
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9413) implies:
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9414) all_56_14 = e0
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9415) op(e0, e1) = e0
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_11,
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0, e1, e0, simplifying with (157), (9415) gives:
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9416) all_52_11 = e0
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_7, e2,
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2, e0, simplifying with (158), (9360) gives:
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9417) all_52_7 = e2
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_14,
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2, e0, e1, simplifying with (160), (9377) gives:
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9418) all_52_14 = e2
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_13,
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1, e0, e2, simplifying with (164), (9399) gives:
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9419) all_52_13 = e1
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_10_1, e0,
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0, e3, simplifying with (7523), (9390) gives:
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9420) all_10_1 = e0
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_16_1, e1,
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2, e3, simplifying with (9307), (9364) gives:
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9421) all_16_1 = e1
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7531), (9418) imply:
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9422) ~ (e3 = e2)
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7560), (9420) imply:
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9423) ~ (e3 = e0)
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9015), (9420) imply:
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9424) ~ (e2 = e0)
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (238) gives:
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9425) (all_57_3 = e3 & ~ (all_57_1 = e2) & ~ (all_57_8
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_10 = e2) & ~ (all_57_12 =
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_14 = e0) & op(e3, e3) =
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e2) = e3 & op(e2, all_57_9) =
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_8 & op(e2, all_57_11) = all_57_10 &
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_13) = all_57_12 & op(e2,
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15) = all_57_14 & op(e2, e3) = all_57_9
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = all_57_11 & op(e2, e1) =
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_13 & op(e2, e0) = all_57_15 &
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_8) & $i(all_57_9) &
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & $i(all_57_11) & $i(all_57_12) &
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13) & $i(all_57_14) & $i(all_57_15)) |
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_5 = e3 & ~ (all_57_1 = e1) & ~
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_16 = e3) & ~ (all_57_18 = e2) & ~
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_22 = e0) & op(e3,
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_1 & op(e3, e1) = e3 & op(e1,
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17) = all_57_16 & op(e1, all_57_19) =
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_18 & op(e1, all_57_21) = all_57_20 &
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_23) = all_57_22 & op(e1, e3) =
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e1, e2) = all_57_19 & op(e1, e1)
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_21 & op(e1, e0) = all_57_23 &
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_16) & $i(all_57_17) &
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_19) & $i(all_57_20) &
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_22) & $i(all_57_23)) |
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_7 = e3 & ~ (all_57_1 = e0) & ~
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) & op(e3,
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_1 & op(e3, e0) = e3 & op(e0,
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25) = all_57_24 & op(e0, all_57_27) =
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e0, all_57_29) = all_57_28 &
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_31) = all_57_30 & op(e0, e3) =
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_27 & op(e0, e1)
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_29 & op(e0, e0) = all_57_31 &
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_24) & $i(all_57_25) &
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_27) & $i(all_57_28) &
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29) & $i(all_57_30) & $i(all_57_31)) |
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e2 & ~ (all_57_0 = e3) & ~ (all_57_2
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2) & ~ (all_57_4 = e1) & ~ (all_57_6 =
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_11 = e3) & op(e3, all_57_1) =
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_0 & op(e3, all_57_3) = all_57_2 & op(e3,
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_5) = all_57_4 & op(e3, all_57_7) =
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_6 & op(e3, e3) = all_57_1 & op(e3, e2) =
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 & op(e3, e1) = all_57_5 & op(e3, e0) =
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7 & op(e2, e3) = e2 & op(e2, e2) =
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_11 & $i(all_57_0) & $i(all_57_1) &
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_2) & $i(all_57_3) & $i(all_57_4) &
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11))
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9425) gives:
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9426) (all_57_3 = e3 & ~ (all_57_1 = e2) & ~ (all_57_8
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_10 = e2) & ~ (all_57_12 =
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_14 = e0) & op(e3, e3) =
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e2) = e3 & op(e2, all_57_9) =
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_8 & op(e2, all_57_11) = all_57_10 &
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_13) = all_57_12 & op(e2,
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15) = all_57_14 & op(e2, e3) = all_57_9
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = all_57_11 & op(e2, e1) =
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_13 & op(e2, e0) = all_57_15 &
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_8) & $i(all_57_9) &
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & $i(all_57_11) & $i(all_57_12) &
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13) & $i(all_57_14) & $i(all_57_15)) |
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_5 = e3 & ~ (all_57_1 = e1) & ~
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_16 = e3) & ~ (all_57_18 = e2) & ~
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_22 = e0) & op(e3,
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_1 & op(e3, e1) = e3 & op(e1,
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17) = all_57_16 & op(e1, all_57_19) =
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_18 & op(e1, all_57_21) = all_57_20 &
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_23) = all_57_22 & op(e1, e3) =
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e1, e2) = all_57_19 & op(e1, e1)
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_21 & op(e1, e0) = all_57_23 &
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_16) & $i(all_57_17) &
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_19) & $i(all_57_20) &
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_22) & $i(all_57_23))
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (170), (9311), (9355), (9426), (function-axioms)
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1484.
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9427) (all_57_7 = e3 & ~ (all_57_1 = e0) & ~
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) & op(e3,
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_1 & op(e3, e0) = e3 & op(e0,
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25) = all_57_24 & op(e0, all_57_27) =
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e0, all_57_29) = all_57_28 &
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_31) = all_57_30 & op(e0, e3) =
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_27 & op(e0, e1)
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_29 & op(e0, e0) = all_57_31 &
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_24) & $i(all_57_25) &
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_27) & $i(all_57_28) &
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29) & $i(all_57_30) & $i(all_57_31)) |
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e2 & ~ (all_57_0 = e3) & ~ (all_57_2
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2) & ~ (all_57_4 = e1) & ~ (all_57_6 =
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_11 = e3) & op(e3, all_57_1) =
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_0 & op(e3, all_57_3) = all_57_2 & op(e3,
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_5) = all_57_4 & op(e3, all_57_7) =
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_6 & op(e3, e3) = all_57_1 & op(e3, e2) =
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 & op(e3, e1) = all_57_5 & op(e3, e0) =
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7 & op(e2, e3) = e2 & op(e2, e2) =
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_11 & $i(all_57_0) & $i(all_57_1) &
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_2) & $i(all_57_3) & $i(all_57_4) &
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11))
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (167), (168), (7529), (9009), (9427),
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1927.
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9428) (all_57_13 = e2 & ~ (all_57_11 = e1) & ~
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_16 = e3) & ~ (all_57_18 = e2) & ~
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_22 = e0) & op(e2,
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_11 & op(e2, e1) = e2 & op(e1,
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17) = all_57_16 & op(e1, all_57_19) =
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_18 & op(e1, all_57_21) = all_57_20 &
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_23) = all_57_22 & op(e1, e3) =
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e1, e2) = all_57_19 & op(e1, e1)
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_21 & op(e1, e0) = all_57_23 &
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_16) & $i(all_57_17) &
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_19) & $i(all_57_20) &
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_22) & $i(all_57_23)) |
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e2 & ~ (all_57_11 = e0) & ~
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) & op(e2,
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_11 & op(e2, e0) = e2 & op(e0,
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25) = all_57_24 & op(e0, all_57_27) =
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e0, all_57_29) = all_57_28 &
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_31) = all_57_30 & op(e0, e3) =
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_27 & op(e0, e1)
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_29 & op(e0, e0) = all_57_31 &
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_24) & $i(all_57_25) &
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_27) & $i(all_57_28) &
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29) & $i(all_57_30) & $i(all_57_31)) |
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_17 = e1 & ~ (all_57_0 = e3) & ~
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e2) & ~ (all_57_4 = e1) & ~
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_6 = e0) & ~ (all_57_21 = e3) & op(e3,
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1) = all_57_0 & op(e3, all_57_3) =
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_2 & op(e3, all_57_5) = all_57_4 & op(e3,
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7) = all_57_6 & op(e3, e3) = all_57_1 &
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_3 & op(e3, e1) = all_57_5 &
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_7 & op(e1, e3) = e1 & op(e1,
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_21 & $i(all_57_0) & $i(all_57_1)
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_2) & $i(all_57_3) & $i(all_57_4) &
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21)) | (all_57_19 = e1 & ~ (all_57_8
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_10 = e2) & ~ (all_57_12 =
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_14 = e0) & ~ (all_57_21 =
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & op(e2, all_57_9) = all_57_8 & op(e2,
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_11) = all_57_10 & op(e2, all_57_13) =
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & op(e2, all_57_15) = all_57_14 &
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_9 & op(e2, e2) = all_57_11 &
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_57_13 & op(e2, e0) = all_57_15
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e1 & op(e1, e1) = all_57_21 &
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8) & $i(all_57_9) & $i(all_57_10) &
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_12) & $i(all_57_13) &
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & $i(all_57_15) & $i(all_57_21)) |
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (op(e0, e0) = all_57_31 & $i(all_57_31) &
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_23 = e1 & ~ (all_57_21 = e0) & ~
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) &
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_21 & op(e1, e0) = e1 &
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_25) = all_57_24 & op(e0,
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27) = all_57_26 & op(e0, all_57_29)
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_28 & op(e0, all_57_31) = all_57_30
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e3) = all_57_25 & op(e0, e2) =
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27 & op(e0, e1) = all_57_29 &
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_24) &
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_25) & $i(all_57_26) &
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27) & $i(all_57_28) &
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29) & $i(all_57_30)) | (all_57_25
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & ~ (all_57_0 = e3) & ~ (all_57_2 =
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_4 = e1) & ~ (all_57_6 =
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_31 = e3) & op(e3,
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1) = all_57_0 & op(e3, all_57_3) =
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_2 & op(e3, all_57_5) = all_57_4 &
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, all_57_7) = all_57_6 & op(e3, e3) =
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e2) = all_57_3 & op(e3,
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_5 & op(e3, e0) = all_57_7 &
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_0) &
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_2) & $i(all_57_3) &
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4) & $i(all_57_5) & $i(all_57_6) &
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7)) | (all_57_27 = e0 & ~
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e3) & ~ (all_57_10 = e2) & ~
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e1) & ~ (all_57_14 = e0) & ~
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e2) & op(e2, all_57_9) =
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_8 & op(e2, all_57_11) = all_57_10 &
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_13) = all_57_12 & op(e2,
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15) = all_57_14 & op(e2, e3) =
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_9 & op(e2, e2) = all_57_11 & op(e2,
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_13 & op(e2, e0) = all_57_15 &
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_8) &
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9) & $i(all_57_10) & $i(all_57_11)
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_12) & $i(all_57_13) &
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & $i(all_57_15)) | (all_57_29
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & ~ (all_57_16 = e3) & ~ (all_57_18 =
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_20 = e1) & ~ (all_57_22
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_31 = e1) & op(e1,
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17) = all_57_16 & op(e1, all_57_19)
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_18 & op(e1, all_57_21) = all_57_20
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, all_57_23) = all_57_22 & op(e1, e3)
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_17 & op(e1, e2) = all_57_19 &
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_21 & op(e1, e0) =
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23 & op(e0, e1) = e0 & $i(all_57_16)
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_17) & $i(all_57_18) &
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_20) &
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_22) &
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23))))
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9428) gives:
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9429) (all_57_13 = e2 & ~ (all_57_11 = e1) & ~
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_16 = e3) & ~ (all_57_18 = e2) & ~
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_22 = e0) & op(e2,
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_11 & op(e2, e1) = e2 & op(e1,
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17) = all_57_16 & op(e1, all_57_19) =
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_18 & op(e1, all_57_21) = all_57_20 &
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_23) = all_57_22 & op(e1, e3) =
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e1, e2) = all_57_19 & op(e1, e1)
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_21 & op(e1, e0) = all_57_23 &
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_16) & $i(all_57_17) &
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_19) & $i(all_57_20) &
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_22) & $i(all_57_23)) |
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e2 & ~ (all_57_11 = e0) & ~
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) & op(e2,
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_11 & op(e2, e0) = e2 & op(e0,
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25) = all_57_24 & op(e0, all_57_27) =
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e0, all_57_29) = all_57_28 &
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_31) = all_57_30 & op(e0, e3) =
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_27 & op(e0, e1)
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_29 & op(e0, e0) = all_57_31 &
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_24) & $i(all_57_25) &
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_27) & $i(all_57_28) &
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29) & $i(all_57_30) & $i(all_57_31))
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9429) gives:
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9430) all_57_13 = e2 & ~ (all_57_11 = e1) & ~
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_16 = e3) & ~ (all_57_18 = e2) & ~
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_22 = e0) & op(e2,
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_11 & op(e2, e1) = e2 & op(e1,
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17) = all_57_16 & op(e1, all_57_19) =
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_18 & op(e1, all_57_21) = all_57_20 & op(e1,
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23) = all_57_22 & op(e1, e3) = all_57_17
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = all_57_19 & op(e1, e1) = all_57_21
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e0) = all_57_23 & $i(all_57_11) &
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_16) & $i(all_57_17) & $i(all_57_18) &
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_20) & $i(all_57_21) &
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_23)
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9430) implies:
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9431) ~ (all_57_20 = e1)
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9432) op(e1, e1) = all_57_21
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9433) op(e1, all_57_21) = all_57_20
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9355), (9431), (9432), (9433), (function-axioms)
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1953.
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9434) all_57_15 = e2 & ~ (all_57_11 = e0) & ~
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) & op(e2,
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_11 & op(e2, e0) = e2 & op(e0,
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25) = all_57_24 & op(e0, all_57_27) =
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e0, all_57_29) = all_57_28 & op(e0,
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_31) = all_57_30 & op(e0, e3) = all_57_25
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e2) = all_57_27 & op(e0, e1) = all_57_29
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = all_57_31 & $i(all_57_11) &
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_24) & $i(all_57_25) & $i(all_57_26) &
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27) & $i(all_57_28) & $i(all_57_29) &
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30) & $i(all_57_31)
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9434) implies:
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9435) all_57_15 = e2
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9436) op(e2, e0) = e2
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (239) gives:
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 198.57/31.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9437) (all_57_1 = e2 & ~ (all_57_3 = e3) & ~ (all_57_8
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_10 = e2) & ~ (all_57_12 =
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_14 = e0) & op(e3, e3) = e2 &
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_3 & op(e2, all_57_9) =
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_8 & op(e2, all_57_11) = all_57_10 &
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_13) = all_57_12 & op(e2,
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15) = all_57_14 & op(e2, e3) = all_57_9
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = all_57_11 & op(e2, e1) =
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_13 & op(e2, e0) = all_57_15 &
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_3) & $i(all_57_8) & $i(all_57_9) &
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & $i(all_57_11) & $i(all_57_12) &
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13) & $i(all_57_14) & $i(all_57_15)) |
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e1 & ~ (all_57_5 = e3) & ~
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_16 = e3) & ~ (all_57_18 = e2) & ~
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_22 = e0) & op(e3,
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e1 & op(e3, e1) = all_57_5 & op(e1,
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17) = all_57_16 & op(e1, all_57_19) =
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_18 & op(e1, all_57_21) = all_57_20 &
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_23) = all_57_22 & op(e1, e3) =
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e1, e2) = all_57_19 & op(e1, e1)
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_21 & op(e1, e0) = all_57_23 &
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_16) & $i(all_57_17) &
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_19) & $i(all_57_20) &
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_22) & $i(all_57_23)) |
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e0 & ~ (all_57_7 = e3) & ~
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) & op(e3,
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e0 & op(e3, e0) = all_57_7 & op(e0,
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25) = all_57_24 & op(e0, all_57_27) =
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e0, all_57_29) = all_57_28 &
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_31) = all_57_30 & op(e0, e3) =
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_27 & op(e0, e1)
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_29 & op(e0, e0) = all_57_31 &
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7) & $i(all_57_24) & $i(all_57_25) &
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_27) & $i(all_57_28) &
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29) & $i(all_57_30) & $i(all_57_31)) |
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e3 & ~ (all_57_0 = e3) & ~
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e2) & ~ (all_57_4 = e1) & ~
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_6 = e0) & ~ (all_57_9 = e2) & op(e3,
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1) = all_57_0 & op(e3, all_57_3) =
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_2 & op(e3, all_57_5) = all_57_4 & op(e3,
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7) = all_57_6 & op(e3, e3) = all_57_1 &
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_3 & op(e3, e1) = all_57_5 &
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_7 & op(e2, e3) = all_57_9 &
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e3 & $i(all_57_0) & $i(all_57_1) &
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_2) & $i(all_57_3) & $i(all_57_4) &
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9))
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9437) gives:
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9438) (all_57_1 = e2 & ~ (all_57_3 = e3) & ~ (all_57_8
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_10 = e2) & ~ (all_57_12 =
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_14 = e0) & op(e3, e3) = e2 &
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_3 & op(e2, all_57_9) =
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_8 & op(e2, all_57_11) = all_57_10 &
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_13) = all_57_12 & op(e2,
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15) = all_57_14 & op(e2, e3) = all_57_9
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = all_57_11 & op(e2, e1) =
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_13 & op(e2, e0) = all_57_15 &
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_3) & $i(all_57_8) & $i(all_57_9) &
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & $i(all_57_11) & $i(all_57_12) &
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13) & $i(all_57_14) & $i(all_57_15)) |
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e1 & ~ (all_57_5 = e3) & ~
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_16 = e3) & ~ (all_57_18 = e2) & ~
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_22 = e0) & op(e3,
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e1 & op(e3, e1) = all_57_5 & op(e1,
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17) = all_57_16 & op(e1, all_57_19) =
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_18 & op(e1, all_57_21) = all_57_20 &
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_23) = all_57_22 & op(e1, e3) =
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e1, e2) = all_57_19 & op(e1, e1)
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_21 & op(e1, e0) = all_57_23 &
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_16) & $i(all_57_17) &
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_19) & $i(all_57_20) &
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_22) & $i(all_57_23))
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9438) gives:
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9439) all_57_1 = e2 & ~ (all_57_3 = e3) & ~ (all_57_8
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_10 = e2) & ~ (all_57_12 =
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_14 = e0) & op(e3, e3) = e2 &
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_3 & op(e2, all_57_9) =
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_8 & op(e2, all_57_11) = all_57_10 & op(e2,
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_13) = all_57_12 & op(e2, all_57_15) =
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_14 & op(e2, e3) = all_57_9 & op(e2, e2) =
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_11 & op(e2, e1) = all_57_13 & op(e2, e0) =
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15 & $i(all_57_3) & $i(all_57_8) &
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9) & $i(all_57_10) & $i(all_57_11) &
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & $i(all_57_13) & $i(all_57_14) &
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15)
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9439) implies:
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9440) op(e2, e0) = all_57_15
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (9), (219), (9328), (9355), (9399),
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9403), (9414), (9436), (function-axioms) are
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #729.
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9441) all_57_1 = e1 & ~ (all_57_5 = e3) & ~ (all_57_16
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_18 = e2) & ~ (all_57_20 =
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_22 = e0) & op(e3, e3) = e1 &
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_57_5 & op(e1, all_57_17) =
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_16 & op(e1, all_57_19) = all_57_18 & op(e1,
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_21) = all_57_20 & op(e1, all_57_23) =
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_22 & op(e1, e3) = all_57_17 & op(e1, e2) =
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_19 & op(e1, e1) = all_57_21 & op(e1, e0) =
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23 & $i(all_57_5) & $i(all_57_16) &
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_17) & $i(all_57_18) & $i(all_57_19) &
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_20) & $i(all_57_21) & $i(all_57_22) &
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23)
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9441) implies:
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9442) op(e3, e3) = e1
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (229), (233), (235),
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9323), (9380), (9442), (function-axioms) are
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1545.
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9443) (all_57_1 = e0 & ~ (all_57_7 = e3) & ~
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) & op(e3,
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e0 & op(e3, e0) = all_57_7 & op(e0,
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25) = all_57_24 & op(e0, all_57_27) =
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e0, all_57_29) = all_57_28 &
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_31) = all_57_30 & op(e0, e3) =
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_27 & op(e0, e1)
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_29 & op(e0, e0) = all_57_31 &
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7) & $i(all_57_24) & $i(all_57_25) &
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_27) & $i(all_57_28) &
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29) & $i(all_57_30) & $i(all_57_31)) |
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e3 & ~ (all_57_0 = e3) & ~
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e2) & ~ (all_57_4 = e1) & ~
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_6 = e0) & ~ (all_57_9 = e2) & op(e3,
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1) = all_57_0 & op(e3, all_57_3) =
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_2 & op(e3, all_57_5) = all_57_4 & op(e3,
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7) = all_57_6 & op(e3, e3) = all_57_1 &
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_3 & op(e3, e1) = all_57_5 &
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_7 & op(e2, e3) = all_57_9 &
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e3 & $i(all_57_0) & $i(all_57_1) &
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_2) & $i(all_57_3) & $i(all_57_4) &
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9))
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (163), (233), (9010), (9380), (9390),
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9406), (9443), (function-axioms) are inconsistent
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #719.
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9444) (all_57_11 = e1 & ~ (all_57_13 = e2) & ~
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_16 = e3) & ~ (all_57_18 = e2) & ~
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_22 = e0) & op(e2,
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e1 & op(e2, e1) = all_57_13 & op(e1,
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17) = all_57_16 & op(e1, all_57_19) =
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_18 & op(e1, all_57_21) = all_57_20 &
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_23) = all_57_22 & op(e1, e3) =
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e1, e2) = all_57_19 & op(e1, e1)
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_21 & op(e1, e0) = all_57_23 &
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13) & $i(all_57_16) & $i(all_57_17) &
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_19) & $i(all_57_20) &
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_22) & $i(all_57_23)) |
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e0 & ~ (all_57_15 = e2) & ~
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) & op(e2,
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e0 & op(e2, e0) = all_57_15 & op(e0,
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25) = all_57_24 & op(e0, all_57_27) =
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e0, all_57_29) = all_57_28 &
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_31) = all_57_30 & op(e0, e3) =
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_27 & op(e0, e1)
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_29 & op(e0, e0) = all_57_31 &
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & $i(all_57_24) & $i(all_57_25) &
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_27) & $i(all_57_28) &
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29) & $i(all_57_30) & $i(all_57_31)) |
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e3 & ~ (all_57_0 = e3) & ~
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e2) & ~ (all_57_4 = e1) & ~
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_6 = e0) & ~ (all_57_17 = e1) & op(e3,
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1) = all_57_0 & op(e3, all_57_3) =
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_2 & op(e3, all_57_5) = all_57_4 & op(e3,
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7) = all_57_6 & op(e3, e3) = all_57_1 &
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_3 & op(e3, e1) = all_57_5 &
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_7 & op(e1, e3) = all_57_17 &
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e3 & $i(all_57_0) & $i(all_57_1) &
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_2) & $i(all_57_3) & $i(all_57_4) &
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_17)) | (all_57_21 = e2 & ~ (all_57_8
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_10 = e2) & ~ (all_57_12 =
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_14 = e0) & ~ (all_57_19 =
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & op(e2, all_57_9) = all_57_8 & op(e2,
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_11) = all_57_10 & op(e2, all_57_13) =
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & op(e2, all_57_15) = all_57_14 &
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_9 & op(e2, e2) = all_57_11 &
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_57_13 & op(e2, e0) = all_57_15
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = all_57_19 & op(e1, e1) = e2 &
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8) & $i(all_57_9) & $i(all_57_10) &
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_12) & $i(all_57_13) &
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & $i(all_57_15) & $i(all_57_19)) |
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (op(e0, e0) = all_57_31 & $i(all_57_31) &
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_21 = e0 & ~ (all_57_23 = e1) & ~
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) &
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = all_57_23 &
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_25) = all_57_24 & op(e0,
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27) = all_57_26 & op(e0, all_57_29)
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_28 & op(e0, all_57_31) = all_57_30
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e3) = all_57_25 & op(e0, e2) =
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27 & op(e0, e1) = all_57_29 &
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23) & $i(all_57_24) &
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_25) & $i(all_57_26) &
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27) & $i(all_57_28) &
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29) & $i(all_57_30)) | (all_57_31
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & ~ (all_57_0 = e3) & ~ (all_57_2 =
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_4 = e1) & ~ (all_57_6 =
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_25 = e0) & op(e3,
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1) = all_57_0 & op(e3, all_57_3) =
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_2 & op(e3, all_57_5) = all_57_4 &
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, all_57_7) = all_57_6 & op(e3, e3) =
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e2) = all_57_3 & op(e3,
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_5 & op(e3, e0) = all_57_7 &
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_25 & $i(all_57_0) &
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_2) & $i(all_57_3) &
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4) & $i(all_57_5) & $i(all_57_6) &
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7) & $i(all_57_25)) | (all_57_31 =
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_8 = e3) & ~ (all_57_10 =
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_12 = e1) & ~ (all_57_14
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_27 = e0) & op(e2,
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_9) = all_57_8 & op(e2, all_57_11) =
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e2, all_57_13) = all_57_12 &
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_15) = all_57_14 & op(e2, e3) =
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_9 & op(e2, e2) = all_57_11 & op(e2,
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_13 & op(e2, e0) = all_57_15 &
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_27 & $i(all_57_8) &
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9) & $i(all_57_10) & $i(all_57_11)
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_12) & $i(all_57_13) &
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & $i(all_57_15) &
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27)) | (all_57_31 = e1 & ~
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_16 = e3) & ~ (all_57_18 = e2) & ~
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_22 = e0) & ~
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_29 = e0) & op(e1, all_57_17) =
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_16 & op(e1, all_57_19) = all_57_18 &
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_21) = all_57_20 & op(e1,
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23) = all_57_22 & op(e1, e3) =
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e1, e2) = all_57_19 & op(e1,
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_21 & op(e1, e0) = all_57_23 &
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = all_57_29 & $i(all_57_16) &
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_17) & $i(all_57_18) &
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_20) &
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_22) &
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23) & $i(all_57_29))))
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9444) gives:
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9445) (all_57_11 = e1 & ~ (all_57_13 = e2) & ~
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_16 = e3) & ~ (all_57_18 = e2) & ~
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_22 = e0) & op(e2,
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e1 & op(e2, e1) = all_57_13 & op(e1,
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17) = all_57_16 & op(e1, all_57_19) =
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_18 & op(e1, all_57_21) = all_57_20 &
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_23) = all_57_22 & op(e1, e3) =
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e1, e2) = all_57_19 & op(e1, e1)
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_21 & op(e1, e0) = all_57_23 &
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13) & $i(all_57_16) & $i(all_57_17) &
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_19) & $i(all_57_20) &
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_22) & $i(all_57_23)) |
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e0 & ~ (all_57_15 = e2) & ~
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) & op(e2,
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e0 & op(e2, e0) = all_57_15 & op(e0,
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25) = all_57_24 & op(e0, all_57_27) =
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e0, all_57_29) = all_57_28 &
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_31) = all_57_30 & op(e0, e3) =
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_27 & op(e0, e1)
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_29 & op(e0, e0) = all_57_31 &
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & $i(all_57_24) & $i(all_57_25) &
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_27) & $i(all_57_28) &
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29) & $i(all_57_30) & $i(all_57_31))
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (9313), (9436), (9445), (function-axioms) are
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1148.
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9446) (all_57_21 = e3 & ~ (all_57_0 = e3) & ~
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e2) & ~ (all_57_4 = e1) & ~
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_6 = e0) & ~ (all_57_17 = e1) & op(e3,
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1) = all_57_0 & op(e3, all_57_3) =
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_2 & op(e3, all_57_5) = all_57_4 & op(e3,
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7) = all_57_6 & op(e3, e3) = all_57_1 &
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_3 & op(e3, e1) = all_57_5 &
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_7 & op(e1, e3) = all_57_17 &
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e3 & $i(all_57_0) & $i(all_57_1) &
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_2) & $i(all_57_3) & $i(all_57_4) &
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_17)) | (all_57_21 = e2 & ~ (all_57_8
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_10 = e2) & ~ (all_57_12 =
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_14 = e0) & ~ (all_57_19 =
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & op(e2, all_57_9) = all_57_8 & op(e2,
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_11) = all_57_10 & op(e2, all_57_13) =
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & op(e2, all_57_15) = all_57_14 &
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_9 & op(e2, e2) = all_57_11 &
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_57_13 & op(e2, e0) = all_57_15
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = all_57_19 & op(e1, e1) = e2 &
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8) & $i(all_57_9) & $i(all_57_10) &
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_12) & $i(all_57_13) &
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & $i(all_57_15) & $i(all_57_19)) |
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (op(e0, e0) = all_57_31 & $i(all_57_31) &
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_21 = e0 & ~ (all_57_23 = e1) & ~
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) &
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = all_57_23 &
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_25) = all_57_24 & op(e0,
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27) = all_57_26 & op(e0, all_57_29)
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_28 & op(e0, all_57_31) = all_57_30
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e3) = all_57_25 & op(e0, e2) =
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27 & op(e0, e1) = all_57_29 &
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23) & $i(all_57_24) &
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_25) & $i(all_57_26) &
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27) & $i(all_57_28) &
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29) & $i(all_57_30)) | (all_57_31
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & ~ (all_57_0 = e3) & ~ (all_57_2 =
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_4 = e1) & ~ (all_57_6 =
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_25 = e0) & op(e3,
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1) = all_57_0 & op(e3, all_57_3) =
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_2 & op(e3, all_57_5) = all_57_4 &
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, all_57_7) = all_57_6 & op(e3, e3) =
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e2) = all_57_3 & op(e3,
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_5 & op(e3, e0) = all_57_7 &
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_25 & $i(all_57_0) &
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_2) & $i(all_57_3) &
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4) & $i(all_57_5) & $i(all_57_6) &
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7) & $i(all_57_25)) | (all_57_31 =
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_8 = e3) & ~ (all_57_10 =
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_12 = e1) & ~ (all_57_14
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_27 = e0) & op(e2,
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_9) = all_57_8 & op(e2, all_57_11) =
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e2, all_57_13) = all_57_12 &
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_15) = all_57_14 & op(e2, e3) =
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_9 & op(e2, e2) = all_57_11 & op(e2,
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_13 & op(e2, e0) = all_57_15 &
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_27 & $i(all_57_8) &
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9) & $i(all_57_10) & $i(all_57_11)
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_12) & $i(all_57_13) &
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & $i(all_57_15) &
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27)) | (all_57_31 = e1 & ~
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_16 = e3) & ~ (all_57_18 = e2) & ~
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_22 = e0) & ~
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_29 = e0) & op(e1, all_57_17) =
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_16 & op(e1, all_57_19) = all_57_18 &
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_21) = all_57_20 & op(e1,
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23) = all_57_22 & op(e1, e3) =
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e1, e2) = all_57_19 & op(e1,
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_21 & op(e1, e0) = all_57_23 &
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = all_57_29 & $i(all_57_16) &
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_17) & $i(all_57_18) &
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_20) &
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_22) &
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23) & $i(all_57_29))))
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9446) gives:
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9447) all_57_21 = e3 & ~ (all_57_0 = e3) & ~ (all_57_2
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2) & ~ (all_57_4 = e1) & ~ (all_57_6 = e0)
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_17 = e1) & op(e3, all_57_1) =
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_0 & op(e3, all_57_3) = all_57_2 & op(e3,
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_5) = all_57_4 & op(e3, all_57_7) =
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_6 & op(e3, e3) = all_57_1 & op(e3, e2) =
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 & op(e3, e1) = all_57_5 & op(e3, e0) =
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7 & op(e1, e3) = all_57_17 & op(e1, e1) =
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & $i(all_57_0) & $i(all_57_1) & $i(all_57_2) &
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_3) & $i(all_57_4) & $i(all_57_5) &
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_6) & $i(all_57_7) & $i(all_57_17)
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9447) implies:
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9448) ~ (all_57_6 = e0)
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9449) op(e3, e0) = all_57_7
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9450) op(e3, all_57_7) = all_57_6
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9390), (9448), (9449), (9450), (function-axioms)
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1632.
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9451) (all_57_21 = e2 & ~ (all_57_8 = e3) & ~
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e2) & ~ (all_57_12 = e1) & ~
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e0) & ~ (all_57_19 = e1) & op(e2,
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_9) = all_57_8 & op(e2, all_57_11) =
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e2, all_57_13) = all_57_12 &
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_15) = all_57_14 & op(e2, e3) =
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_9 & op(e2, e2) = all_57_11 & op(e2, e1) =
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_13 & op(e2, e0) = all_57_15 & op(e1, e2)
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_19 & op(e1, e1) = e2 & $i(all_57_8) &
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9) & $i(all_57_10) & $i(all_57_11) &
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & $i(all_57_13) & $i(all_57_14) &
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & $i(all_57_19)) | (op(e0, e0) =
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_31 & $i(all_57_31) & ((all_57_21 = e0 &
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_23 = e1) & ~ (all_57_24 = e3) &
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_26 = e2) & ~ (all_57_28 = e1) &
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_30 = e0) & op(e1, e1) = e0 &
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_23 & op(e0, all_57_25) =
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_24 & op(e0, all_57_27) = all_57_26 &
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_29) = all_57_28 & op(e0,
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_31) = all_57_30 & op(e0, e3) =
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_27 & op(e0,
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_29 & $i(all_57_23) &
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_24) & $i(all_57_25) &
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_27) &
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28) & $i(all_57_29) &
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_31 = e3 & ~
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_0 = e3) & ~ (all_57_2 = e2) & ~
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1) & ~ (all_57_6 = e0) & ~
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_25 = e0) & op(e3, all_57_1) =
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_0 & op(e3, all_57_3) = all_57_2 &
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, all_57_5) = all_57_4 & op(e3,
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7) = all_57_6 & op(e3, e3) =
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e2) = all_57_3 & op(e3,
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_5 & op(e3, e0) = all_57_7 &
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_25 & $i(all_57_0) &
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_2) & $i(all_57_3) &
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4) & $i(all_57_5) & $i(all_57_6) &
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7) & $i(all_57_25)) | (all_57_31 =
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_8 = e3) & ~ (all_57_10 =
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_12 = e1) & ~ (all_57_14
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_27 = e0) & op(e2,
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_9) = all_57_8 & op(e2, all_57_11) =
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e2, all_57_13) = all_57_12 &
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_15) = all_57_14 & op(e2, e3) =
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_9 & op(e2, e2) = all_57_11 & op(e2,
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_13 & op(e2, e0) = all_57_15 &
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_27 & $i(all_57_8) &
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9) & $i(all_57_10) & $i(all_57_11)
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_12) & $i(all_57_13) &
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & $i(all_57_15) &
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27)) | (all_57_31 = e1 & ~
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_16 = e3) & ~ (all_57_18 = e2) & ~
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_22 = e0) & ~
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_29 = e0) & op(e1, all_57_17) =
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_16 & op(e1, all_57_19) = all_57_18 &
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_21) = all_57_20 & op(e1,
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23) = all_57_22 & op(e1, e3) =
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e1, e2) = all_57_19 & op(e1,
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_21 & op(e1, e0) = all_57_23 &
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = all_57_29 & $i(all_57_16) &
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_17) & $i(all_57_18) &
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_20) &
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_22) &
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23) & $i(all_57_29))))
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9451) gives:
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9452) all_57_21 = e2 & ~ (all_57_8 = e3) & ~
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e2) & ~ (all_57_12 = e1) & ~
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e0) & ~ (all_57_19 = e1) & op(e2,
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_9) = all_57_8 & op(e2, all_57_11) =
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e2, all_57_13) = all_57_12 & op(e2,
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15) = all_57_14 & op(e2, e3) = all_57_9 &
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_11 & op(e2, e1) = all_57_13 &
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_15 & op(e1, e2) = all_57_19 &
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e2 & $i(all_57_8) & $i(all_57_9) &
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & $i(all_57_11) & $i(all_57_12) &
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13) & $i(all_57_14) & $i(all_57_15) &
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19)
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9452) implies:
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9453) op(e1, e1) = e2
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (9355), (9453), (function-axioms) are
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1957.
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9454) op(e0, e0) = all_57_31 & $i(all_57_31) &
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_21 = e0 & ~ (all_57_23 = e1) & ~
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) &
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = all_57_23 &
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_25) = all_57_24 & op(e0,
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27) = all_57_26 & op(e0, all_57_29) =
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_28 & op(e0, all_57_31) = all_57_30 &
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_25 & op(e0, e2) =
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27 & op(e0, e1) = all_57_29 &
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23) & $i(all_57_24) & $i(all_57_25)
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_26) & $i(all_57_27) &
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28) & $i(all_57_29) & $i(all_57_30))
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e3 & ~ (all_57_0 = e3) & ~
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e2) & ~ (all_57_4 = e1) & ~
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_6 = e0) & ~ (all_57_25 = e0) & op(e3,
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1) = all_57_0 & op(e3, all_57_3) =
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_2 & op(e3, all_57_5) = all_57_4 &
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, all_57_7) = all_57_6 & op(e3, e3) =
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e2) = all_57_3 & op(e3, e1)
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_5 & op(e3, e0) = all_57_7 & op(e0,
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_25 & $i(all_57_0) &
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_2) & $i(all_57_3) &
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4) & $i(all_57_5) & $i(all_57_6) &
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7) & $i(all_57_25)) | (all_57_31 =
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_8 = e3) & ~ (all_57_10 = e2)
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_12 = e1) & ~ (all_57_14 = e0) &
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_27 = e0) & op(e2, all_57_9) =
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_8 & op(e2, all_57_11) = all_57_10 &
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_13) = all_57_12 & op(e2,
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15) = all_57_14 & op(e2, e3) =
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_9 & op(e2, e2) = all_57_11 & op(e2, e1)
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_13 & op(e2, e0) = all_57_15 & op(e0,
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_27 & $i(all_57_8) &
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9) & $i(all_57_10) & $i(all_57_11) &
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & $i(all_57_13) & $i(all_57_14)
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_15) & $i(all_57_27)) | (all_57_31
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_16 = e3) & ~ (all_57_18 =
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_20 = e1) & ~ (all_57_22 =
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_29 = e0) & op(e1,
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17) = all_57_16 & op(e1, all_57_19) =
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_18 & op(e1, all_57_21) = all_57_20 &
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_23) = all_57_22 & op(e1, e3) =
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e1, e2) = all_57_19 & op(e1,
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_21 & op(e1, e0) = all_57_23 &
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = all_57_29 & $i(all_57_16) &
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_17) & $i(all_57_18) & $i(all_57_19)
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_20) & $i(all_57_21) &
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_23) &
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29)))
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9454) implies:
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9455) op(e0, e0) = all_57_31
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9456) (all_57_21 = e0 & ~ (all_57_23 = e1) & ~
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) & op(e1,
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0 & op(e1, e0) = all_57_23 & op(e0,
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25) = all_57_24 & op(e0, all_57_27) =
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e0, all_57_29) = all_57_28 &
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_31) = all_57_30 & op(e0, e3) =
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_27 & op(e0, e1)
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_29 & $i(all_57_23) & $i(all_57_24) &
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_25) & $i(all_57_26) & $i(all_57_27) &
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28) & $i(all_57_29) & $i(all_57_30)) |
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e3 & ~ (all_57_0 = e3) & ~
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e2) & ~ (all_57_4 = e1) & ~
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_6 = e0) & ~ (all_57_25 = e0) & op(e3,
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1) = all_57_0 & op(e3, all_57_3) =
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_2 & op(e3, all_57_5) = all_57_4 & op(e3,
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7) = all_57_6 & op(e3, e3) = all_57_1 &
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_3 & op(e3, e1) = all_57_5 &
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_7 & op(e0, e3) = all_57_25 &
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_0) & $i(all_57_1) & $i(all_57_2) &
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_3) & $i(all_57_4) & $i(all_57_5) &
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_6) & $i(all_57_7) & $i(all_57_25)) |
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e2 & ~ (all_57_8 = e3) & ~
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e2) & ~ (all_57_12 = e1) & ~
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e0) & ~ (all_57_27 = e0) & op(e2,
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_9) = all_57_8 & op(e2, all_57_11) =
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e2, all_57_13) = all_57_12 &
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_15) = all_57_14 & op(e2, e3) =
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_9 & op(e2, e2) = all_57_11 & op(e2, e1) =
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_13 & op(e2, e0) = all_57_15 & op(e0, e2)
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_27 & $i(all_57_8) & $i(all_57_9) &
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & $i(all_57_11) & $i(all_57_12) &
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13) & $i(all_57_14) & $i(all_57_15) &
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27)) | (all_57_31 = e1 & ~ (all_57_16
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_18 = e2) & ~ (all_57_20 =
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_22 = e0) & ~ (all_57_29 =
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & op(e1, all_57_17) = all_57_16 & op(e1,
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_19) = all_57_18 & op(e1, all_57_21) =
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20 & op(e1, all_57_23) = all_57_22 &
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_17 & op(e1, e2) = all_57_19
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = all_57_21 & op(e1, e0) =
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23 & op(e0, e1) = all_57_29 &
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_16) & $i(all_57_17) & $i(all_57_18) &
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_20) & $i(all_57_21) &
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_23) & $i(all_57_29))
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9456) gives:
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9457) (all_57_21 = e0 & ~ (all_57_23 = e1) & ~
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) & op(e1,
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0 & op(e1, e0) = all_57_23 & op(e0,
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25) = all_57_24 & op(e0, all_57_27) =
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e0, all_57_29) = all_57_28 &
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_31) = all_57_30 & op(e0, e3) =
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_27 & op(e0, e1)
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_29 & $i(all_57_23) & $i(all_57_24) &
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_25) & $i(all_57_26) & $i(all_57_27) &
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28) & $i(all_57_29) & $i(all_57_30)) |
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e3 & ~ (all_57_0 = e3) & ~
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e2) & ~ (all_57_4 = e1) & ~
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_6 = e0) & ~ (all_57_25 = e0) & op(e3,
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1) = all_57_0 & op(e3, all_57_3) =
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_2 & op(e3, all_57_5) = all_57_4 & op(e3,
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7) = all_57_6 & op(e3, e3) = all_57_1 &
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_3 & op(e3, e1) = all_57_5 &
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_7 & op(e0, e3) = all_57_25 &
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_0) & $i(all_57_1) & $i(all_57_2) &
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_3) & $i(all_57_4) & $i(all_57_5) &
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_6) & $i(all_57_7) & $i(all_57_25))
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9457) gives:
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9458) all_57_21 = e0 & ~ (all_57_23 = e1) & ~
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) & op(e1,
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0 & op(e1, e0) = all_57_23 & op(e0,
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25) = all_57_24 & op(e0, all_57_27) =
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e0, all_57_29) = all_57_28 & op(e0,
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_31) = all_57_30 & op(e0, e3) = all_57_25
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e2) = all_57_27 & op(e0, e1) = all_57_29
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_23) & $i(all_57_24) & $i(all_57_25) &
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_27) & $i(all_57_28) &
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29) & $i(all_57_30)
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9458) implies:
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9459) op(e1, e1) = e0
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (9355), (9459), (function-axioms) are
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1956.
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9460) all_57_31 = e3 & ~ (all_57_0 = e3) & ~ (all_57_2
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2) & ~ (all_57_4 = e1) & ~ (all_57_6 = e0)
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_25 = e0) & op(e3, all_57_1) =
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_0 & op(e3, all_57_3) = all_57_2 & op(e3,
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_5) = all_57_4 & op(e3, all_57_7) =
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_6 & op(e3, e3) = all_57_1 & op(e3, e2) =
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 & op(e3, e1) = all_57_5 & op(e3, e0) =
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7 & op(e0, e3) = all_57_25 & $i(all_57_0) &
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_2) & $i(all_57_3) &
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4) & $i(all_57_5) & $i(all_57_6) &
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7) & $i(all_57_25)
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9460) implies:
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9461) ~ (all_57_6 = e0)
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9462) op(e3, e0) = all_57_7
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9463) op(e3, all_57_7) = all_57_6
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9390), (9461), (9462), (9463), (function-axioms)
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1632.
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9464) (all_57_31 = e2 & ~ (all_57_8 = e3) & ~
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e2) & ~ (all_57_12 = e1) & ~
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e0) & ~ (all_57_27 = e0) & op(e2,
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_9) = all_57_8 & op(e2, all_57_11) =
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e2, all_57_13) = all_57_12 &
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_15) = all_57_14 & op(e2, e3) =
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_9 & op(e2, e2) = all_57_11 & op(e2, e1) =
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_13 & op(e2, e0) = all_57_15 & op(e0, e2)
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_27 & $i(all_57_8) & $i(all_57_9) &
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & $i(all_57_11) & $i(all_57_12) &
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13) & $i(all_57_14) & $i(all_57_15) &
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27)) | (all_57_31 = e1 & ~ (all_57_16
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_18 = e2) & ~ (all_57_20 =
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_22 = e0) & ~ (all_57_29 =
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & op(e1, all_57_17) = all_57_16 & op(e1,
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_19) = all_57_18 & op(e1, all_57_21) =
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20 & op(e1, all_57_23) = all_57_22 &
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_17 & op(e1, e2) = all_57_19
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = all_57_21 & op(e1, e0) =
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23 & op(e0, e1) = all_57_29 &
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_16) & $i(all_57_17) & $i(all_57_18) &
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_20) & $i(all_57_21) &
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_23) & $i(all_57_29))
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9464) gives:
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9465) all_57_31 = e2 & ~ (all_57_8 = e3) & ~
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e2) & ~ (all_57_12 = e1) & ~
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e0) & ~ (all_57_27 = e0) & op(e2,
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_9) = all_57_8 & op(e2, all_57_11) =
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e2, all_57_13) = all_57_12 & op(e2,
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15) = all_57_14 & op(e2, e3) = all_57_9 &
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_11 & op(e2, e1) = all_57_13 &
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_15 & op(e0, e2) = all_57_27 &
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8) & $i(all_57_9) & $i(all_57_10) &
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_12) & $i(all_57_13) &
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & $i(all_57_15) & $i(all_57_27)
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9465) implies:
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9466) all_57_31 = e2
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9455), (9466) imply:
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9467) op(e0, e0) = e2
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (7532), (9467), (function-axioms) are
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1838.
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 198.57/31.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9468) all_57_31 = e1 & ~ (all_57_16 = e3) & ~
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_18 = e2) & ~ (all_57_20 = e1) & ~
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_22 = e0) & ~ (all_57_29 = e0) & op(e1,
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17) = all_57_16 & op(e1, all_57_19) =
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_18 & op(e1, all_57_21) = all_57_20 & op(e1,
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23) = all_57_22 & op(e1, e3) = all_57_17
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = all_57_19 & op(e1, e1) = all_57_21
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e0) = all_57_23 & op(e0, e1) = all_57_29
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_16) & $i(all_57_17) & $i(all_57_18) &
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_20) & $i(all_57_21) &
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_23) & $i(all_57_29)
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9468) implies:
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9469) op(e1, e1) = all_57_21
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9456) gives:
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9470) (all_57_21 = e0 & ~ (all_57_23 = e1) & ~
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) & op(e1,
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0 & op(e1, e0) = all_57_23 & op(e0,
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25) = all_57_24 & op(e0, all_57_27) =
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e0, all_57_29) = all_57_28 &
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_31) = all_57_30 & op(e0, e3) =
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_27 & op(e0, e1)
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_29 & $i(all_57_23) & $i(all_57_24) &
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_25) & $i(all_57_26) & $i(all_57_27) &
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28) & $i(all_57_29) & $i(all_57_30)) |
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e3 & ~ (all_57_0 = e3) & ~
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e2) & ~ (all_57_4 = e1) & ~
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_6 = e0) & ~ (all_57_25 = e0) & op(e3,
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1) = all_57_0 & op(e3, all_57_3) =
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_2 & op(e3, all_57_5) = all_57_4 & op(e3,
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7) = all_57_6 & op(e3, e3) = all_57_1 &
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_3 & op(e3, e1) = all_57_5 &
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_7 & op(e0, e3) = all_57_25 &
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_0) & $i(all_57_1) & $i(all_57_2) &
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_3) & $i(all_57_4) & $i(all_57_5) &
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_6) & $i(all_57_7) & $i(all_57_25))
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9470) gives:
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9471) all_57_21 = e0 & ~ (all_57_23 = e1) & ~
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) & op(e1,
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0 & op(e1, e0) = all_57_23 & op(e0,
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25) = all_57_24 & op(e0, all_57_27) =
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e0, all_57_29) = all_57_28 & op(e0,
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_31) = all_57_30 & op(e0, e3) = all_57_25
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e2) = all_57_27 & op(e0, e1) = all_57_29
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_23) & $i(all_57_24) & $i(all_57_25) &
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_27) & $i(all_57_28) &
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29) & $i(all_57_30)
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9471) implies:
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9472) all_57_21 = e0
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9469), (9472) imply:
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9473) op(e1, e1) = e0
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (9355), (9473), (function-axioms) are
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1956.
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9474) all_57_31 = e3 & ~ (all_57_0 = e3) & ~ (all_57_2
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2) & ~ (all_57_4 = e1) & ~ (all_57_6 = e0)
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_25 = e0) & op(e3, all_57_1) =
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_0 & op(e3, all_57_3) = all_57_2 & op(e3,
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_5) = all_57_4 & op(e3, all_57_7) =
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_6 & op(e3, e3) = all_57_1 & op(e3, e2) =
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 & op(e3, e1) = all_57_5 & op(e3, e0) =
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7 & op(e0, e3) = all_57_25 & $i(all_57_0) &
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_2) & $i(all_57_3) &
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4) & $i(all_57_5) & $i(all_57_6) &
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7) & $i(all_57_25)
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9474) implies:
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9475) ~ (all_57_6 = e0)
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9476) op(e3, e0) = all_57_7
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9477) op(e3, all_57_7) = all_57_6
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9390), (9475), (9476), (9477), (function-axioms)
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1632.
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (7532), (9415), (9455), (9464),
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #718.
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9478) (all_57_17 = e1 & ~ (all_57_0 = e3) & ~
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e2) & ~ (all_57_4 = e1) & ~
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_6 = e0) & ~ (all_57_21 = e3) & op(e3,
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1) = all_57_0 & op(e3, all_57_3) =
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_2 & op(e3, all_57_5) = all_57_4 & op(e3,
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7) = all_57_6 & op(e3, e3) = all_57_1 &
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_3 & op(e3, e1) = all_57_5 &
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_7 & op(e1, e3) = e1 & op(e1,
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_21 & $i(all_57_0) & $i(all_57_1)
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_2) & $i(all_57_3) & $i(all_57_4) &
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21)) | (all_57_19 = e1 & ~ (all_57_8
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_10 = e2) & ~ (all_57_12 =
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_14 = e0) & ~ (all_57_21 =
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & op(e2, all_57_9) = all_57_8 & op(e2,
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_11) = all_57_10 & op(e2, all_57_13) =
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & op(e2, all_57_15) = all_57_14 &
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_9 & op(e2, e2) = all_57_11 &
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_57_13 & op(e2, e0) = all_57_15
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e1 & op(e1, e1) = all_57_21 &
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8) & $i(all_57_9) & $i(all_57_10) &
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_12) & $i(all_57_13) &
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & $i(all_57_15) & $i(all_57_21)) |
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (op(e0, e0) = all_57_31 & $i(all_57_31) &
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_23 = e1 & ~ (all_57_21 = e0) & ~
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) &
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_21 & op(e1, e0) = e1 &
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_25) = all_57_24 & op(e0,
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27) = all_57_26 & op(e0, all_57_29)
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_28 & op(e0, all_57_31) = all_57_30
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e3) = all_57_25 & op(e0, e2) =
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27 & op(e0, e1) = all_57_29 &
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_24) &
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_25) & $i(all_57_26) &
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27) & $i(all_57_28) &
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29) & $i(all_57_30)) | (all_57_25
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & ~ (all_57_0 = e3) & ~ (all_57_2 =
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_4 = e1) & ~ (all_57_6 =
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_31 = e3) & op(e3,
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1) = all_57_0 & op(e3, all_57_3) =
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_2 & op(e3, all_57_5) = all_57_4 &
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, all_57_7) = all_57_6 & op(e3, e3) =
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e2) = all_57_3 & op(e3,
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_5 & op(e3, e0) = all_57_7 &
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_0) &
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_2) & $i(all_57_3) &
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4) & $i(all_57_5) & $i(all_57_6) &
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7)) | (all_57_27 = e0 & ~
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e3) & ~ (all_57_10 = e2) & ~
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e1) & ~ (all_57_14 = e0) & ~
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e2) & op(e2, all_57_9) =
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_8 & op(e2, all_57_11) = all_57_10 &
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_13) = all_57_12 & op(e2,
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15) = all_57_14 & op(e2, e3) =
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_9 & op(e2, e2) = all_57_11 & op(e2,
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_13 & op(e2, e0) = all_57_15 &
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_8) &
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9) & $i(all_57_10) & $i(all_57_11)
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_12) & $i(all_57_13) &
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & $i(all_57_15)) | (all_57_29
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & ~ (all_57_16 = e3) & ~ (all_57_18 =
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_20 = e1) & ~ (all_57_22
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_31 = e1) & op(e1,
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17) = all_57_16 & op(e1, all_57_19)
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_18 & op(e1, all_57_21) = all_57_20
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, all_57_23) = all_57_22 & op(e1, e3)
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_17 & op(e1, e2) = all_57_19 &
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_21 & op(e1, e0) =
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23 & op(e0, e1) = e0 & $i(all_57_16)
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_17) & $i(all_57_18) &
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_20) &
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_22) &
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23))))
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9478) gives:
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9479) all_57_17 = e1 & ~ (all_57_0 = e3) & ~ (all_57_2
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2) & ~ (all_57_4 = e1) & ~ (all_57_6 = e0)
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_21 = e3) & op(e3, all_57_1) =
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_0 & op(e3, all_57_3) = all_57_2 & op(e3,
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_5) = all_57_4 & op(e3, all_57_7) =
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_6 & op(e3, e3) = all_57_1 & op(e3, e2) =
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 & op(e3, e1) = all_57_5 & op(e3, e0) =
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7 & op(e1, e3) = e1 & op(e1, e1) =
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_21 & $i(all_57_0) & $i(all_57_1) &
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_2) & $i(all_57_3) & $i(all_57_4) &
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21)
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9479) implies:
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9480) ~ (all_57_6 = e0)
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9481) op(e3, e0) = all_57_7
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9482) op(e3, all_57_7) = all_57_6
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9390), (9480), (9481), (9482), (function-axioms)
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1632.
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9483) (all_57_19 = e1 & ~ (all_57_8 = e3) & ~
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e2) & ~ (all_57_12 = e1) & ~
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e0) & ~ (all_57_21 = e2) & op(e2,
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_9) = all_57_8 & op(e2, all_57_11) =
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e2, all_57_13) = all_57_12 &
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_15) = all_57_14 & op(e2, e3) =
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_9 & op(e2, e2) = all_57_11 & op(e2, e1) =
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_13 & op(e2, e0) = all_57_15 & op(e1, e2)
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & op(e1, e1) = all_57_21 & $i(all_57_8) &
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9) & $i(all_57_10) & $i(all_57_11) &
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & $i(all_57_13) & $i(all_57_14) &
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & $i(all_57_21)) | (op(e0, e0) =
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_31 & $i(all_57_31) & ((all_57_23 = e1 &
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_21 = e0) & ~ (all_57_24 = e3) &
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_26 = e2) & ~ (all_57_28 = e1) &
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_30 = e0) & op(e1, e1) = all_57_21
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e0) = e1 & op(e0, all_57_25) =
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_24 & op(e0, all_57_27) = all_57_26 &
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_29) = all_57_28 & op(e0,
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_31) = all_57_30 & op(e0, e3) =
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_27 & op(e0,
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_29 & $i(all_57_21) &
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_24) & $i(all_57_25) &
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_27) &
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28) & $i(all_57_29) &
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_25 = e0 & ~
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_0 = e3) & ~ (all_57_2 = e2) & ~
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1) & ~ (all_57_6 = e0) & ~
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e3) & op(e3, all_57_1) =
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_0 & op(e3, all_57_3) = all_57_2 &
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, all_57_5) = all_57_4 & op(e3,
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7) = all_57_6 & op(e3, e3) =
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e2) = all_57_3 & op(e3,
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_5 & op(e3, e0) = all_57_7 &
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_0) &
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_2) & $i(all_57_3) &
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4) & $i(all_57_5) & $i(all_57_6) &
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7)) | (all_57_27 = e0 & ~
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e3) & ~ (all_57_10 = e2) & ~
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e1) & ~ (all_57_14 = e0) & ~
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e2) & op(e2, all_57_9) =
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_8 & op(e2, all_57_11) = all_57_10 &
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_13) = all_57_12 & op(e2,
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15) = all_57_14 & op(e2, e3) =
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_9 & op(e2, e2) = all_57_11 & op(e2,
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_13 & op(e2, e0) = all_57_15 &
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_8) &
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9) & $i(all_57_10) & $i(all_57_11)
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_12) & $i(all_57_13) &
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & $i(all_57_15)) | (all_57_29
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & ~ (all_57_16 = e3) & ~ (all_57_18 =
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_20 = e1) & ~ (all_57_22
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_31 = e1) & op(e1,
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17) = all_57_16 & op(e1, all_57_19)
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_18 & op(e1, all_57_21) = all_57_20
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, all_57_23) = all_57_22 & op(e1, e3)
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_17 & op(e1, e2) = all_57_19 &
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_21 & op(e1, e0) =
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23 & op(e0, e1) = e0 & $i(all_57_16)
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_17) & $i(all_57_18) &
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_20) &
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_22) &
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23))))
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9483) gives:
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9484) all_57_19 = e1 & ~ (all_57_8 = e3) & ~
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e2) & ~ (all_57_12 = e1) & ~
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e0) & ~ (all_57_21 = e2) & op(e2,
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_9) = all_57_8 & op(e2, all_57_11) =
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e2, all_57_13) = all_57_12 & op(e2,
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15) = all_57_14 & op(e2, e3) = all_57_9 &
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_11 & op(e2, e1) = all_57_13 &
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_15 & op(e1, e2) = e1 & op(e1,
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_21 & $i(all_57_8) & $i(all_57_9) &
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & $i(all_57_11) & $i(all_57_12) &
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13) & $i(all_57_14) & $i(all_57_15) &
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21)
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9484) implies:
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9485) op(e1, e2) = e1
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (162), (9351), (9485), (function-axioms) are
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1480.
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9486) op(e0, e0) = all_57_31 & $i(all_57_31) &
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_23 = e1 & ~ (all_57_21 = e0) & ~
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) &
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_21 & op(e1, e0) = e1 &
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_25) = all_57_24 & op(e0,
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27) = all_57_26 & op(e0, all_57_29) =
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_28 & op(e0, all_57_31) = all_57_30 &
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_25 & op(e0, e2) =
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27 & op(e0, e1) = all_57_29 &
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_24) & $i(all_57_25)
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_26) & $i(all_57_27) &
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28) & $i(all_57_29) & $i(all_57_30))
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_25 = e0 & ~ (all_57_0 = e3) & ~
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e2) & ~ (all_57_4 = e1) & ~
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_6 = e0) & ~ (all_57_31 = e3) & op(e3,
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1) = all_57_0 & op(e3, all_57_3) =
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_2 & op(e3, all_57_5) = all_57_4 &
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, all_57_7) = all_57_6 & op(e3, e3) =
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e2) = all_57_3 & op(e3, e1)
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_5 & op(e3, e0) = all_57_7 & op(e0,
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e0 & $i(all_57_0) & $i(all_57_1) &
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_2) & $i(all_57_3) & $i(all_57_4) &
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_6) & $i(all_57_7)) |
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_27 = e0 & ~ (all_57_8 = e3) & ~
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e2) & ~ (all_57_12 = e1) & ~
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e0) & ~ (all_57_31 = e2) &
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_9) = all_57_8 & op(e2,
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_11) = all_57_10 & op(e2, all_57_13) =
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & op(e2, all_57_15) = all_57_14 &
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_9 & op(e2, e2) = all_57_11
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = all_57_13 & op(e2, e0) =
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15 & op(e0, e2) = e0 & $i(all_57_8) &
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9) & $i(all_57_10) & $i(all_57_11) &
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & $i(all_57_13) & $i(all_57_14)
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_15)) | (all_57_29 = e0 & ~
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_16 = e3) & ~ (all_57_18 = e2) & ~
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_22 = e0) & ~
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e1) & op(e1, all_57_17) =
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_16 & op(e1, all_57_19) = all_57_18 &
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_21) = all_57_20 & op(e1,
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23) = all_57_22 & op(e1, e3) =
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e1, e2) = all_57_19 & op(e1,
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_21 & op(e1, e0) = all_57_23 &
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_16) &
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_17) & $i(all_57_18) & $i(all_57_19)
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_20) & $i(all_57_21) &
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_23)))
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9486) implies:
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9487) op(e0, e0) = all_57_31
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9488) (all_57_23 = e1 & ~ (all_57_21 = e0) & ~
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) & op(e1,
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_21 & op(e1, e0) = e1 & op(e0,
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25) = all_57_24 & op(e0, all_57_27) =
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e0, all_57_29) = all_57_28 &
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_31) = all_57_30 & op(e0, e3) =
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_27 & op(e0, e1)
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_29 & $i(all_57_21) & $i(all_57_24) &
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_25) & $i(all_57_26) & $i(all_57_27) &
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28) & $i(all_57_29) & $i(all_57_30)) |
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_25 = e0 & ~ (all_57_0 = e3) & ~
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e2) & ~ (all_57_4 = e1) & ~
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_6 = e0) & ~ (all_57_31 = e3) & op(e3,
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1) = all_57_0 & op(e3, all_57_3) =
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_2 & op(e3, all_57_5) = all_57_4 & op(e3,
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7) = all_57_6 & op(e3, e3) = all_57_1 &
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_3 & op(e3, e1) = all_57_5 &
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_7 & op(e0, e3) = e0 &
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_0) & $i(all_57_1) & $i(all_57_2) &
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_3) & $i(all_57_4) & $i(all_57_5) &
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_6) & $i(all_57_7)) | (all_57_27 = e0 &
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_8 = e3) & ~ (all_57_10 = e2) & ~
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e1) & ~ (all_57_14 = e0) & ~
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e2) & op(e2, all_57_9) = all_57_8 &
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_11) = all_57_10 & op(e2,
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_13) = all_57_12 & op(e2, all_57_15) =
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_14 & op(e2, e3) = all_57_9 & op(e2, e2) =
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_11 & op(e2, e1) = all_57_13 & op(e2, e0)
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_15 & op(e0, e2) = e0 & $i(all_57_8) &
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9) & $i(all_57_10) & $i(all_57_11) &
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & $i(all_57_13) & $i(all_57_14) &
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15)) | (all_57_29 = e0 & ~ (all_57_16
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_18 = e2) & ~ (all_57_20 =
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_22 = e0) & ~ (all_57_31 =
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & op(e1, all_57_17) = all_57_16 & op(e1,
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_19) = all_57_18 & op(e1, all_57_21) =
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20 & op(e1, all_57_23) = all_57_22 &
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_17 & op(e1, e2) = all_57_19
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = all_57_21 & op(e1, e0) =
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23 & op(e0, e1) = e0 & $i(all_57_16) &
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_17) & $i(all_57_18) & $i(all_57_19) &
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_20) & $i(all_57_21) & $i(all_57_22) &
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23))
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (7532), (9324), (9360), (9487), (9488),
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #714.
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9489) all_56_3 = e0 & op(e2, e2) = e0
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9489) implies:
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9490) op(e2, e2) = e0
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (9313), (9490), (function-axioms) are
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1661.
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9491) (all_56_5 = e0 & op(e2, e1) = e0) | (all_56_10 =
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0)
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9491) gives:
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9492) all_56_5 = e0 & op(e2, e1) = e0
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (9403), (9492) are inconsistent by sub-proof
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #901.
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9493) all_56_10 = e0 & op(e2, e0) = e0
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9493) implies:
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9494) all_56_10 = e0
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (9398), (9494) imply:
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9495) e1 = e0
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (9363), (9495) imply:
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9496) all_56_1 = e0
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (8), (226), (9313), (9359), (9368),
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9496), (function-axioms) are inconsistent by
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1192.
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9497) all_56_10 = e2 & op(e2, e0) = e2
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9497) implies:
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9498) all_56_10 = e2
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (9398), (9498) are inconsistent by sub-proof
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1453.
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9499) (all_56_11 = e1 & op(e1, e0) = e1) | (all_56_15 =
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = e1)
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (8), (7532), (9377), (9499),
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #713.
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9500) all_56_13 = e1 & op(e0, e2) = e1
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (9359), (9500) are inconsistent by sub-proof
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1499.
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9501) (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 =
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = e1)
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9501) gives:
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9502) all_56_14 = e1 & op(e0, e1) = e1
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9502) implies:
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9503) all_56_14 = e1
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (219) gives:
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9504) (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e2)
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9504) gives:
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9505) all_56_4 = e2 & op(e3, e1) = e2
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9505) implies:
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9506) op(e3, e1) = e2
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (169), (9013), (9506), (function-axioms) are
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1071.
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9507) all_56_5 = e2 & op(e2, e1) = e2
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9507) implies:
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9508) all_56_5 = e2
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (217) gives:
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9509) (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_5 = e0
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e0)
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9509) gives:
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9510) all_56_4 = e0 & op(e3, e1) = e0
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (9328), (9510) are inconsistent by sub-proof
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1164.
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9511) all_56_5 = e0 & op(e2, e1) = e0
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (9508), (9511) are inconsistent by sub-proof
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #901.
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9512) (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_14 =
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0)
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9512) gives:
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9513) all_56_8 = e0 & op(e1, e1) = e0
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9513) implies:
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9514) op(e1, e1) = e0
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (9355), (9514), (function-axioms) are
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1956.
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9515) all_56_14 = e0 & op(e0, e1) = e0
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9515) implies:
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9516) all_56_14 = e0
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (9503), (9516) imply:
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9517) e1 = e0
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (9363), (9517) imply:
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9518) all_56_1 = e0
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (8), (226), (9313), (9359), (9368),
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9518), (function-axioms) are inconsistent by
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1192.
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9519) (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 =
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e1) = e2)
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9519) gives:
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9520) all_56_8 = e2 & op(e1, e1) = e2
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9520) implies:
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9521) all_56_8 = e2
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (8), (214), (9323), (9368), (9376),
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9521) are inconsistent by sub-proof #1720.
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9522) all_56_14 = e2 & op(e0, e1) = e2
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9522) implies:
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9523) all_56_14 = e2
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (9503), (9523) imply:
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9524) e2 = e1
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (9524) implies:
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9525) e2 = e1
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (9359), (9525) imply:
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9526) all_56_13 = e1
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (206) gives:
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9527) all_56_15 = e0 & op(e0, e0) = e0
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9527) implies:
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9528) op(e0, e0) = e0
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (7532), (9528), (function-axioms) are
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1657.
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9529) ((all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 =
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_56_11 = e0 &
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e0)) & ((all_56_12 = e0 & op(e0,
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e0) | (all_56_13 = e0 & op(e0, e2) =
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) | (all_56_14 = e0 & op(e0, e1) = e0))
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9529) implies:
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9530) (all_56_12 = e0 & op(e0, e3) = e0) | (all_56_13 =
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0) | (all_56_14 = e0 & op(e0,
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0)
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9530) gives:
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9531) all_56_12 = e0 & op(e0, e3) = e0
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (9), (208), (7532), (9503), (9526),
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9531), (function-axioms) are inconsistent by
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #771.
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9532) (all_56_13 = e0 & op(e0, e2) = e0) | (all_56_14 =
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0)
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (9503), (9526), (9532) are inconsistent by
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #712.
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9533) all_56_15 = e1 & op(e0, e0) = e1
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9533) implies:
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9534) op(e0, e0) = e1
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (7532), (9534), (function-axioms) are
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1699.
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | (9535) all_56_13 = e0 & op(e0, e2) = e0
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9535) implies:
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | (9536) op(e0, e2) = e0
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (9360), (9536), (function-axioms) are
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1447.
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | (9537) all_56_3 = e1 & op(e2, e2) = e1
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9537) implies:
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | (9538) op(e2, e2) = e1
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (9313), (9538), (function-axioms) are
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1684.
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | (9539) (all_56_7 = e1 & op(e1, e2) = e1) | (all_56_13 =
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e2) = e1)
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9539) gives:
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | (9540) all_56_7 = e1 & op(e1, e2) = e1
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9540) implies:
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | (9541) all_56_7 = e1
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (9), (213), (215), (9323),
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | (9355), (9541), (function-axioms) are inconsistent
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #732.
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | (9542) all_56_13 = e1 & op(e0, e2) = e1
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9542) implies:
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | (9543) all_56_13 = e1
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (9359), (9543) are inconsistent by sub-proof
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | | #1571.
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | End of split
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | (9544) (all_56_14 = e2 & op(e0, e1) = e2) | (all_56_15 =
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = e2)
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9544) gives:
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | (9545) all_56_14 = e2 & op(e0, e1) = e2
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9545) implies:
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | (9546) op(e0, e1) = e2
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (217) gives:
% 198.57/31.80 | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.81 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 198.57/31.81 | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.81 | | | | | | | | | | | | | | | | | | | | | | | | (9547) (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_5 = e0
% 198.57/31.81 | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e0)
% 198.57/31.81 | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.81 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9547) gives:
% 198.57/31.81 | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.81 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 198.57/31.81 | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | (9548) all_56_4 = e0 & op(e3, e1) = e0
% 198.57/31.81 | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9548) implies:
% 198.57/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | (9549) all_56_4 = e0
% 198.57/31.81 | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (9328), (9549) are inconsistent by sub-proof
% 198.57/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | #1255.
% 198.57/31.81 | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.81 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 198.57/31.81 | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | (9550) all_56_5 = e0 & op(e2, e1) = e0
% 198.57/31.81 | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9550) implies:
% 198.57/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | (9551) all_56_5 = e0
% 198.57/31.81 | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (223) gives:
% 198.57/31.81 | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 198.57/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | (9552) (all_56_2 = e2 & op(e2, e3) = e2) | (all_56_3 = e2
% 198.57/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e2)
% 198.57/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (167), (9009), (9313), (9552),
% 198.57/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 198.57/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | #909.
% 198.57/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 198.57/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | (9553) (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_10 =
% 198.57/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2)
% 198.57/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9553) gives:
% 198.57/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 198.57/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | (9554) all_56_5 = e2 & op(e2, e1) = e2
% 198.57/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (9551), (9554) are inconsistent by sub-proof
% 198.57/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | #1797.
% 198.57/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 198.57/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | (9555) all_56_10 = e2 & op(e2, e0) = e2
% 198.57/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9555) implies:
% 198.57/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | (9556) all_56_10 = e2
% 198.57/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (210) gives:
% 198.57/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 198.57/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9557) (all_56_9 = e1 & op(e3, e0) = e1) | (all_56_10 =
% 198.57/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e2, e0) = e1)
% 198.57/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9557) gives:
% 198.57/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 198.57/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9558) all_56_9 = e1 & op(e3, e0) = e1
% 198.57/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9558) implies:
% 198.57/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9559) all_56_9 = e1
% 198.57/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9560) op(e3, e0) = e1
% 198.57/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (230) gives:
% 198.57/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 198.57/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9561) (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_1 = e0
% 198.57/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e0)
% 198.57/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9561) gives:
% 198.57/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 198.57/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9562) all_56_0 = e0 & op(e3, e3) = e0
% 198.57/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9562) implies:
% 198.57/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9563) op(e3, e3) = e0
% 198.57/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (9023), (9563), (function-axioms) are
% 198.57/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1964.
% 198.57/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 198.57/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9564) all_56_1 = e0 & op(e3, e2) = e0
% 198.57/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9564) implies:
% 198.57/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9565) all_56_1 = e0
% 198.57/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9566) op(e3, e2) = e0
% 198.57/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (222) gives:
% 198.57/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 198.57/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9567) (all_56_2 = e1 & op(e2, e3) = e1) | (all_56_3 = e1
% 198.57/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1)
% 198.57/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9567) gives:
% 198.57/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 198.57/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9568) all_56_2 = e1 & op(e2, e3) = e1
% 198.57/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9568) implies:
% 198.57/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9569) all_56_2 = e1
% 198.57/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (226) gives:
% 198.57/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 198.57/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9570) (all_56_1 = e1 & op(e3, e2) = e1) | (all_56_3 = e1
% 198.57/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1)
% 198.57/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (8), (9313), (9565), (9570),
% 198.57/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 198.57/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1667.
% 198.57/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 198.57/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9571) (all_56_7 = e1 & op(e1, e2) = e1) | (all_56_13 =
% 198.57/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e2) = e1)
% 198.57/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9571) gives:
% 198.57/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 198.57/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9572) all_56_7 = e1 & op(e1, e2) = e1
% 198.57/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9572) implies:
% 198.57/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9573) all_56_7 = e1
% 198.57/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (9), (213), (215), (9323),
% 198.57/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9355), (9573), (function-axioms) are inconsistent
% 198.57/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #732.
% 198.57/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 198.57/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9574) all_56_13 = e1 & op(e0, e2) = e1
% 198.57/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9574) implies:
% 198.57/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9575) op(e0, e2) = e1
% 198.57/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (229) gives:
% 198.57/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 198.57/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9576) (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0
% 198.57/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e0)
% 198.57/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9576) gives:
% 198.57/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 198.57/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9577) all_56_0 = e0 & op(e3, e3) = e0
% 198.57/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9577) implies:
% 198.57/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9578) op(e3, e3) = e0
% 198.57/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (9023), (9578), (function-axioms) are
% 198.57/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1964.
% 198.57/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 198.57/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9579) all_56_2 = e0 & op(e2, e3) = e0
% 198.57/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (9569), (9579) are inconsistent by sub-proof
% 198.57/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1879.
% 198.57/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 198.57/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 198.57/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9580) (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 =
% 198.57/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e3) = e0)
% 198.57/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9580) gives:
% 198.57/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 198.57/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9581) all_56_6 = e0 & op(e1, e3) = e0
% 198.57/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (9323), (9581) are inconsistent by sub-proof
% 198.57/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1723.
% 198.57/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 198.57/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9582) all_56_12 = e0 & op(e0, e3) = e0
% 198.57/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9582) implies:
% 198.57/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9583) op(e0, e3) = e0
% 198.57/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_7, e1,
% 198.57/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2, e0, simplifying with (158), (9575) gives:
% 198.57/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9584) all_52_7 = e1
% 198.57/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_3, e0,
% 198.57/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3, e0, simplifying with (159), (9583) gives:
% 198.57/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9585) all_52_3 = e0
% 198.57/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_10_1, e1,
% 198.57/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0, e3, simplifying with (7523), (9560) gives:
% 198.57/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9586) all_10_1 = e1
% 198.57/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_16_1, e0,
% 198.57/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2, e3, simplifying with (9307), (9566) gives:
% 198.57/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9587) all_16_1 = e0
% 198.57/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9336), (9586), (9587) imply:
% 198.57/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9588) ~ (e1 = e0)
% 198.57/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (238) gives:
% 198.57/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 198.57/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9589) (all_57_3 = e3 & ~ (all_57_1 = e2) & ~ (all_57_8
% 198.57/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_10 = e2) & ~ (all_57_12 =
% 198.57/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_14 = e0) & op(e3, e3) =
% 198.57/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e2) = e3 & op(e2, all_57_9) =
% 198.57/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_8 & op(e2, all_57_11) = all_57_10 &
% 198.57/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_13) = all_57_12 & op(e2,
% 198.57/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15) = all_57_14 & op(e2, e3) = all_57_9
% 198.57/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = all_57_11 & op(e2, e1) =
% 198.57/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_13 & op(e2, e0) = all_57_15 &
% 198.57/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_8) & $i(all_57_9) &
% 198.57/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & $i(all_57_11) & $i(all_57_12) &
% 198.57/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13) & $i(all_57_14) & $i(all_57_15)) |
% 198.57/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_5 = e3 & ~ (all_57_1 = e1) & ~
% 198.57/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_16 = e3) & ~ (all_57_18 = e2) & ~
% 198.57/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_22 = e0) & op(e3,
% 198.57/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_1 & op(e3, e1) = e3 & op(e1,
% 198.57/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17) = all_57_16 & op(e1, all_57_19) =
% 198.57/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_18 & op(e1, all_57_21) = all_57_20 &
% 198.57/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_23) = all_57_22 & op(e1, e3) =
% 198.57/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e1, e2) = all_57_19 & op(e1, e1)
% 198.57/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_21 & op(e1, e0) = all_57_23 &
% 198.57/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_16) & $i(all_57_17) &
% 198.57/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_19) & $i(all_57_20) &
% 198.57/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_22) & $i(all_57_23)) |
% 198.57/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_7 = e3 & ~ (all_57_1 = e0) & ~
% 198.57/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 198.57/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) & op(e3,
% 198.57/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_1 & op(e3, e0) = e3 & op(e0,
% 198.57/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25) = all_57_24 & op(e0, all_57_27) =
% 198.57/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e0, all_57_29) = all_57_28 &
% 198.57/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_31) = all_57_30 & op(e0, e3) =
% 198.57/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_27 & op(e0, e1)
% 198.57/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_29 & op(e0, e0) = all_57_31 &
% 198.57/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_24) & $i(all_57_25) &
% 198.57/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_27) & $i(all_57_28) &
% 198.57/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29) & $i(all_57_30) & $i(all_57_31)) |
% 198.57/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e2 & ~ (all_57_0 = e3) & ~ (all_57_2
% 198.57/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2) & ~ (all_57_4 = e1) & ~ (all_57_6 =
% 198.57/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_11 = e3) & op(e3, all_57_1) =
% 198.57/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_0 & op(e3, all_57_3) = all_57_2 & op(e3,
% 198.57/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_5) = all_57_4 & op(e3, all_57_7) =
% 198.57/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_6 & op(e3, e3) = all_57_1 & op(e3, e2) =
% 198.57/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 & op(e3, e1) = all_57_5 & op(e3, e0) =
% 198.57/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7 & op(e2, e3) = e2 & op(e2, e2) =
% 198.57/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_11 & $i(all_57_0) & $i(all_57_1) &
% 198.57/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_2) & $i(all_57_3) & $i(all_57_4) &
% 198.57/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 198.57/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11))
% 198.57/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9589) gives:
% 198.57/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 198.57/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9590) (all_57_3 = e3 & ~ (all_57_1 = e2) & ~ (all_57_8
% 198.57/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_10 = e2) & ~ (all_57_12 =
% 198.57/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_14 = e0) & op(e3, e3) =
% 198.57/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e2) = e3 & op(e2, all_57_9) =
% 198.57/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_8 & op(e2, all_57_11) = all_57_10 &
% 198.57/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_13) = all_57_12 & op(e2,
% 198.57/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15) = all_57_14 & op(e2, e3) = all_57_9
% 198.57/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = all_57_11 & op(e2, e1) =
% 198.57/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_13 & op(e2, e0) = all_57_15 &
% 198.57/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_8) & $i(all_57_9) &
% 198.57/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & $i(all_57_11) & $i(all_57_12) &
% 198.57/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13) & $i(all_57_14) & $i(all_57_15)) |
% 198.57/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_5 = e3 & ~ (all_57_1 = e1) & ~
% 198.57/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_16 = e3) & ~ (all_57_18 = e2) & ~
% 198.57/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_22 = e0) & op(e3,
% 198.57/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_1 & op(e3, e1) = e3 & op(e1,
% 198.57/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17) = all_57_16 & op(e1, all_57_19) =
% 198.57/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_18 & op(e1, all_57_21) = all_57_20 &
% 198.57/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_23) = all_57_22 & op(e1, e3) =
% 198.57/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e1, e2) = all_57_19 & op(e1, e1)
% 198.57/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_21 & op(e1, e0) = all_57_23 &
% 198.57/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_16) & $i(all_57_17) &
% 198.57/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_19) & $i(all_57_20) &
% 198.57/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_22) & $i(all_57_23))
% 198.57/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (170), (9311), (9355), (9590), (function-axioms)
% 198.57/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1484.
% 198.57/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 198.57/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9591) (all_57_7 = e3 & ~ (all_57_1 = e0) & ~
% 198.57/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 198.57/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) & op(e3,
% 198.57/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_1 & op(e3, e0) = e3 & op(e0,
% 198.57/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25) = all_57_24 & op(e0, all_57_27) =
% 198.57/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e0, all_57_29) = all_57_28 &
% 198.57/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_31) = all_57_30 & op(e0, e3) =
% 198.57/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_27 & op(e0, e1)
% 198.57/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_29 & op(e0, e0) = all_57_31 &
% 198.57/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_24) & $i(all_57_25) &
% 198.57/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_27) & $i(all_57_28) &
% 198.57/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29) & $i(all_57_30) & $i(all_57_31)) |
% 198.57/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e2 & ~ (all_57_0 = e3) & ~ (all_57_2
% 198.57/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2) & ~ (all_57_4 = e1) & ~ (all_57_6 =
% 198.57/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_11 = e3) & op(e3, all_57_1) =
% 198.57/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_0 & op(e3, all_57_3) = all_57_2 & op(e3,
% 198.57/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_5) = all_57_4 & op(e3, all_57_7) =
% 198.57/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_6 & op(e3, e3) = all_57_1 & op(e3, e2) =
% 198.57/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 & op(e3, e1) = all_57_5 & op(e3, e0) =
% 198.57/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7 & op(e2, e3) = e2 & op(e2, e2) =
% 198.57/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_11 & $i(all_57_0) & $i(all_57_1) &
% 198.57/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_2) & $i(all_57_3) & $i(all_57_4) &
% 198.57/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 198.57/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11))
% 198.57/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (167), (168), (7529), (9009), (9591),
% 198.57/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 198.57/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1927.
% 198.57/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 198.57/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 198.57/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9592) (all_57_13 = e2 & ~ (all_57_11 = e1) & ~
% 198.57/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_16 = e3) & ~ (all_57_18 = e2) & ~
% 198.57/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_22 = e0) & op(e2,
% 198.57/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_11 & op(e2, e1) = e2 & op(e1,
% 198.57/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17) = all_57_16 & op(e1, all_57_19) =
% 198.57/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_18 & op(e1, all_57_21) = all_57_20 &
% 198.57/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_23) = all_57_22 & op(e1, e3) =
% 198.57/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e1, e2) = all_57_19 & op(e1, e1)
% 198.57/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_21 & op(e1, e0) = all_57_23 &
% 198.57/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_16) & $i(all_57_17) &
% 198.57/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_19) & $i(all_57_20) &
% 198.57/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_22) & $i(all_57_23)) |
% 198.57/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e2 & ~ (all_57_11 = e0) & ~
% 198.57/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 198.57/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) & op(e2,
% 198.57/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_11 & op(e2, e0) = e2 & op(e0,
% 198.57/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25) = all_57_24 & op(e0, all_57_27) =
% 198.57/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e0, all_57_29) = all_57_28 &
% 198.57/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_31) = all_57_30 & op(e0, e3) =
% 198.57/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_27 & op(e0, e1)
% 198.57/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_29 & op(e0, e0) = all_57_31 &
% 198.57/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_24) & $i(all_57_25) &
% 198.57/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_27) & $i(all_57_28) &
% 198.57/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29) & $i(all_57_30) & $i(all_57_31)) |
% 198.57/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_17 = e1 & ~ (all_57_0 = e3) & ~
% 198.57/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e2) & ~ (all_57_4 = e1) & ~
% 198.57/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_6 = e0) & ~ (all_57_21 = e3) & op(e3,
% 198.57/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1) = all_57_0 & op(e3, all_57_3) =
% 198.57/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_2 & op(e3, all_57_5) = all_57_4 & op(e3,
% 198.57/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7) = all_57_6 & op(e3, e3) = all_57_1 &
% 198.57/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_3 & op(e3, e1) = all_57_5 &
% 198.57/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_7 & op(e1, e3) = e1 & op(e1,
% 198.57/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_21 & $i(all_57_0) & $i(all_57_1)
% 198.57/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_2) & $i(all_57_3) & $i(all_57_4) &
% 198.57/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 198.57/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21)) | (all_57_19 = e1 & ~ (all_57_8
% 198.57/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_10 = e2) & ~ (all_57_12 =
% 198.57/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_14 = e0) & ~ (all_57_21 =
% 198.57/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & op(e2, all_57_9) = all_57_8 & op(e2,
% 198.57/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_11) = all_57_10 & op(e2, all_57_13) =
% 198.57/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & op(e2, all_57_15) = all_57_14 &
% 198.57/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_9 & op(e2, e2) = all_57_11 &
% 198.57/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_57_13 & op(e2, e0) = all_57_15
% 198.57/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e1 & op(e1, e1) = all_57_21 &
% 198.57/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8) & $i(all_57_9) & $i(all_57_10) &
% 198.57/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_12) & $i(all_57_13) &
% 198.57/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & $i(all_57_15) & $i(all_57_21)) |
% 198.57/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (op(e0, e0) = all_57_31 & $i(all_57_31) &
% 198.57/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_23 = e1 & ~ (all_57_21 = e0) & ~
% 198.57/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 198.57/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) &
% 198.57/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_21 & op(e1, e0) = e1 &
% 198.57/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_25) = all_57_24 & op(e0,
% 198.57/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27) = all_57_26 & op(e0, all_57_29)
% 198.57/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_28 & op(e0, all_57_31) = all_57_30
% 198.57/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e3) = all_57_25 & op(e0, e2) =
% 198.57/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27 & op(e0, e1) = all_57_29 &
% 198.57/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_24) &
% 198.57/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_25) & $i(all_57_26) &
% 198.57/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27) & $i(all_57_28) &
% 198.57/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29) & $i(all_57_30)) | (all_57_25
% 198.57/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & ~ (all_57_0 = e3) & ~ (all_57_2 =
% 198.57/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_4 = e1) & ~ (all_57_6 =
% 198.57/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_31 = e3) & op(e3,
% 198.57/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1) = all_57_0 & op(e3, all_57_3) =
% 198.57/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_2 & op(e3, all_57_5) = all_57_4 &
% 198.57/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, all_57_7) = all_57_6 & op(e3, e3) =
% 198.57/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e2) = all_57_3 & op(e3,
% 198.57/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_5 & op(e3, e0) = all_57_7 &
% 198.57/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_0) &
% 198.57/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_2) & $i(all_57_3) &
% 198.57/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4) & $i(all_57_5) & $i(all_57_6) &
% 198.57/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7)) | (all_57_27 = e0 & ~
% 198.57/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e3) & ~ (all_57_10 = e2) & ~
% 198.57/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e1) & ~ (all_57_14 = e0) & ~
% 198.57/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e2) & op(e2, all_57_9) =
% 198.57/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_8 & op(e2, all_57_11) = all_57_10 &
% 198.57/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_13) = all_57_12 & op(e2,
% 198.57/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15) = all_57_14 & op(e2, e3) =
% 198.57/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_9 & op(e2, e2) = all_57_11 & op(e2,
% 198.57/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_13 & op(e2, e0) = all_57_15 &
% 198.57/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_8) &
% 198.57/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9) & $i(all_57_10) & $i(all_57_11)
% 198.57/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_12) & $i(all_57_13) &
% 198.57/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & $i(all_57_15)) | (all_57_29
% 198.57/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & ~ (all_57_16 = e3) & ~ (all_57_18 =
% 198.57/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_20 = e1) & ~ (all_57_22
% 198.57/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_31 = e1) & op(e1,
% 198.57/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17) = all_57_16 & op(e1, all_57_19)
% 198.57/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_18 & op(e1, all_57_21) = all_57_20
% 198.57/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, all_57_23) = all_57_22 & op(e1, e3)
% 198.57/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_17 & op(e1, e2) = all_57_19 &
% 198.57/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_21 & op(e1, e0) =
% 198.57/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23 & op(e0, e1) = e0 & $i(all_57_16)
% 198.57/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_17) & $i(all_57_18) &
% 198.57/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_20) &
% 198.57/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_22) &
% 198.57/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23))))
% 198.57/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9592) gives:
% 198.57/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 198.57/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9593) (all_57_13 = e2 & ~ (all_57_11 = e1) & ~
% 198.57/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_16 = e3) & ~ (all_57_18 = e2) & ~
% 198.57/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_22 = e0) & op(e2,
% 198.57/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_11 & op(e2, e1) = e2 & op(e1,
% 198.57/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17) = all_57_16 & op(e1, all_57_19) =
% 198.57/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_18 & op(e1, all_57_21) = all_57_20 &
% 198.57/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_23) = all_57_22 & op(e1, e3) =
% 198.57/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e1, e2) = all_57_19 & op(e1, e1)
% 198.57/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_21 & op(e1, e0) = all_57_23 &
% 198.57/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_16) & $i(all_57_17) &
% 198.57/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_19) & $i(all_57_20) &
% 198.57/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_22) & $i(all_57_23)) |
% 198.57/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e2 & ~ (all_57_11 = e0) & ~
% 198.57/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 198.57/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) & op(e2,
% 198.57/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_11 & op(e2, e0) = e2 & op(e0,
% 198.57/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25) = all_57_24 & op(e0, all_57_27) =
% 198.57/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e0, all_57_29) = all_57_28 &
% 198.57/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_31) = all_57_30 & op(e0, e3) =
% 198.57/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_27 & op(e0, e1)
% 198.57/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_29 & op(e0, e0) = all_57_31 &
% 198.57/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_24) & $i(all_57_25) &
% 198.57/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_27) & $i(all_57_28) &
% 198.57/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29) & $i(all_57_30) & $i(all_57_31))
% 198.57/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9593) gives:
% 198.57/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 198.57/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9594) all_57_13 = e2 & ~ (all_57_11 = e1) & ~
% 198.57/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_16 = e3) & ~ (all_57_18 = e2) & ~
% 198.57/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_22 = e0) & op(e2,
% 198.57/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_11 & op(e2, e1) = e2 & op(e1,
% 198.57/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17) = all_57_16 & op(e1, all_57_19) =
% 198.57/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_18 & op(e1, all_57_21) = all_57_20 & op(e1,
% 198.57/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23) = all_57_22 & op(e1, e3) = all_57_17
% 198.57/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = all_57_19 & op(e1, e1) = all_57_21
% 198.57/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e0) = all_57_23 & $i(all_57_11) &
% 198.57/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_16) & $i(all_57_17) & $i(all_57_18) &
% 198.57/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_20) & $i(all_57_21) &
% 198.57/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_23)
% 198.57/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9594) implies:
% 198.57/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9595) ~ (all_57_20 = e1)
% 198.57/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9596) op(e1, e1) = all_57_21
% 198.57/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9597) op(e1, all_57_21) = all_57_20
% 198.57/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9355), (9595), (9596), (9597), (function-axioms)
% 198.57/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1953.
% 198.57/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 198.57/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9598) all_57_15 = e2 & ~ (all_57_11 = e0) & ~
% 198.57/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 198.57/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) & op(e2,
% 198.57/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_11 & op(e2, e0) = e2 & op(e0,
% 198.57/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25) = all_57_24 & op(e0, all_57_27) =
% 198.57/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e0, all_57_29) = all_57_28 & op(e0,
% 198.57/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_31) = all_57_30 & op(e0, e3) = all_57_25
% 198.57/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e2) = all_57_27 & op(e0, e1) = all_57_29
% 198.57/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = all_57_31 & $i(all_57_11) &
% 198.57/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_24) & $i(all_57_25) & $i(all_57_26) &
% 198.57/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27) & $i(all_57_28) & $i(all_57_29) &
% 198.57/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30) & $i(all_57_31)
% 198.57/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9598) implies:
% 198.57/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9599) ~ (all_57_30 = e0)
% 198.57/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9600) op(e0, e0) = all_57_31
% 198.57/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9601) op(e0, e3) = all_57_25
% 198.57/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9602) op(e0, all_57_31) = all_57_30
% 198.57/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7532), (9583), (9599), (9600), (9601), (9602),
% 198.57/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 198.57/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #865.
% 198.57/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 198.57/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 198.57/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.57/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9603) (all_57_17 = e1 & ~ (all_57_0 = e3) & ~
% 198.57/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e2) & ~ (all_57_4 = e1) & ~
% 198.57/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_6 = e0) & ~ (all_57_21 = e3) & op(e3,
% 198.57/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1) = all_57_0 & op(e3, all_57_3) =
% 198.57/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_2 & op(e3, all_57_5) = all_57_4 & op(e3,
% 198.57/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7) = all_57_6 & op(e3, e3) = all_57_1 &
% 198.57/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_3 & op(e3, e1) = all_57_5 &
% 198.57/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_7 & op(e1, e3) = e1 & op(e1,
% 198.57/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_21 & $i(all_57_0) & $i(all_57_1)
% 198.57/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_2) & $i(all_57_3) & $i(all_57_4) &
% 198.57/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 198.57/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21)) | (all_57_19 = e1 & ~ (all_57_8
% 198.57/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_10 = e2) & ~ (all_57_12 =
% 198.57/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_14 = e0) & ~ (all_57_21 =
% 198.57/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & op(e2, all_57_9) = all_57_8 & op(e2,
% 198.57/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_11) = all_57_10 & op(e2, all_57_13) =
% 198.57/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & op(e2, all_57_15) = all_57_14 &
% 198.57/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_9 & op(e2, e2) = all_57_11 &
% 198.57/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_57_13 & op(e2, e0) = all_57_15
% 198.57/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e1 & op(e1, e1) = all_57_21 &
% 198.57/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8) & $i(all_57_9) & $i(all_57_10) &
% 198.57/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_12) & $i(all_57_13) &
% 198.57/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & $i(all_57_15) & $i(all_57_21)) |
% 198.57/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (op(e0, e0) = all_57_31 & $i(all_57_31) &
% 198.57/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_23 = e1 & ~ (all_57_21 = e0) & ~
% 198.57/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 198.57/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) &
% 198.57/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_21 & op(e1, e0) = e1 &
% 198.57/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_25) = all_57_24 & op(e0,
% 198.57/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27) = all_57_26 & op(e0, all_57_29)
% 198.57/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_28 & op(e0, all_57_31) = all_57_30
% 198.57/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e3) = all_57_25 & op(e0, e2) =
% 198.57/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27 & op(e0, e1) = all_57_29 &
% 198.57/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_24) &
% 198.57/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_25) & $i(all_57_26) &
% 198.57/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27) & $i(all_57_28) &
% 198.57/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29) & $i(all_57_30)) | (all_57_25
% 198.57/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & ~ (all_57_0 = e3) & ~ (all_57_2 =
% 198.57/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_4 = e1) & ~ (all_57_6 =
% 198.57/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_31 = e3) & op(e3,
% 198.57/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1) = all_57_0 & op(e3, all_57_3) =
% 198.57/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_2 & op(e3, all_57_5) = all_57_4 &
% 198.57/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, all_57_7) = all_57_6 & op(e3, e3) =
% 198.57/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e2) = all_57_3 & op(e3,
% 198.57/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_5 & op(e3, e0) = all_57_7 &
% 198.57/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_0) &
% 198.57/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_2) & $i(all_57_3) &
% 198.57/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4) & $i(all_57_5) & $i(all_57_6) &
% 198.57/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7)) | (all_57_27 = e0 & ~
% 198.57/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e3) & ~ (all_57_10 = e2) & ~
% 198.57/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e1) & ~ (all_57_14 = e0) & ~
% 198.57/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e2) & op(e2, all_57_9) =
% 198.57/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_8 & op(e2, all_57_11) = all_57_10 &
% 198.57/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_13) = all_57_12 & op(e2,
% 198.57/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15) = all_57_14 & op(e2, e3) =
% 198.57/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_9 & op(e2, e2) = all_57_11 & op(e2,
% 198.57/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_13 & op(e2, e0) = all_57_15 &
% 198.57/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_8) &
% 198.57/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9) & $i(all_57_10) & $i(all_57_11)
% 198.57/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_12) & $i(all_57_13) &
% 198.74/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & $i(all_57_15)) | (all_57_29
% 198.74/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & ~ (all_57_16 = e3) & ~ (all_57_18 =
% 198.74/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_20 = e1) & ~ (all_57_22
% 198.74/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_31 = e1) & op(e1,
% 198.74/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17) = all_57_16 & op(e1, all_57_19)
% 198.74/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_18 & op(e1, all_57_21) = all_57_20
% 198.74/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, all_57_23) = all_57_22 & op(e1, e3)
% 198.74/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_17 & op(e1, e2) = all_57_19 &
% 198.74/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_21 & op(e1, e0) =
% 198.74/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23 & op(e0, e1) = e0 & $i(all_57_16)
% 198.74/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_17) & $i(all_57_18) &
% 198.74/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_20) &
% 198.74/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_22) &
% 198.74/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23))))
% 198.74/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.74/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9603) gives:
% 198.74/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.74/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 198.74/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.74/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9604) all_57_17 = e1 & ~ (all_57_0 = e3) & ~ (all_57_2
% 198.74/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2) & ~ (all_57_4 = e1) & ~ (all_57_6 = e0)
% 198.74/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_21 = e3) & op(e3, all_57_1) =
% 198.74/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_0 & op(e3, all_57_3) = all_57_2 & op(e3,
% 198.74/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_5) = all_57_4 & op(e3, all_57_7) =
% 198.74/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_6 & op(e3, e3) = all_57_1 & op(e3, e2) =
% 198.74/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 & op(e3, e1) = all_57_5 & op(e3, e0) =
% 198.74/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7 & op(e1, e3) = e1 & op(e1, e1) =
% 198.74/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_21 & $i(all_57_0) & $i(all_57_1) &
% 198.74/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_2) & $i(all_57_3) & $i(all_57_4) &
% 198.74/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 198.74/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21)
% 198.74/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.74/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9604) implies:
% 198.74/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9605) op(e1, e3) = e1
% 198.74/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.74/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (9324), (9605), (function-axioms) are
% 198.74/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1587.
% 198.74/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.74/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 198.74/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.74/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9606) (all_57_19 = e1 & ~ (all_57_8 = e3) & ~
% 198.74/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e2) & ~ (all_57_12 = e1) & ~
% 198.74/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e0) & ~ (all_57_21 = e2) & op(e2,
% 198.74/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_9) = all_57_8 & op(e2, all_57_11) =
% 198.74/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e2, all_57_13) = all_57_12 &
% 198.74/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_15) = all_57_14 & op(e2, e3) =
% 198.74/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_9 & op(e2, e2) = all_57_11 & op(e2, e1) =
% 198.74/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_13 & op(e2, e0) = all_57_15 & op(e1, e2)
% 198.74/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & op(e1, e1) = all_57_21 & $i(all_57_8) &
% 198.74/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9) & $i(all_57_10) & $i(all_57_11) &
% 198.74/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & $i(all_57_13) & $i(all_57_14) &
% 198.74/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & $i(all_57_21)) | (op(e0, e0) =
% 198.74/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_31 & $i(all_57_31) & ((all_57_23 = e1 &
% 198.74/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_21 = e0) & ~ (all_57_24 = e3) &
% 198.74/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_26 = e2) & ~ (all_57_28 = e1) &
% 198.74/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_30 = e0) & op(e1, e1) = all_57_21
% 198.74/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e0) = e1 & op(e0, all_57_25) =
% 198.74/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_24 & op(e0, all_57_27) = all_57_26 &
% 198.74/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_29) = all_57_28 & op(e0,
% 198.74/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_31) = all_57_30 & op(e0, e3) =
% 198.74/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_27 & op(e0,
% 198.74/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_29 & $i(all_57_21) &
% 198.74/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_24) & $i(all_57_25) &
% 198.74/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_27) &
% 198.74/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28) & $i(all_57_29) &
% 198.74/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_25 = e0 & ~
% 198.74/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_0 = e3) & ~ (all_57_2 = e2) & ~
% 198.74/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1) & ~ (all_57_6 = e0) & ~
% 198.74/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e3) & op(e3, all_57_1) =
% 198.74/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_0 & op(e3, all_57_3) = all_57_2 &
% 198.74/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, all_57_5) = all_57_4 & op(e3,
% 198.74/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7) = all_57_6 & op(e3, e3) =
% 198.74/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e2) = all_57_3 & op(e3,
% 198.74/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_5 & op(e3, e0) = all_57_7 &
% 198.74/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_0) &
% 198.74/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_2) & $i(all_57_3) &
% 198.74/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4) & $i(all_57_5) & $i(all_57_6) &
% 198.74/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7)) | (all_57_27 = e0 & ~
% 198.74/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e3) & ~ (all_57_10 = e2) & ~
% 198.74/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e1) & ~ (all_57_14 = e0) & ~
% 198.74/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e2) & op(e2, all_57_9) =
% 198.74/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_8 & op(e2, all_57_11) = all_57_10 &
% 198.74/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_13) = all_57_12 & op(e2,
% 198.74/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15) = all_57_14 & op(e2, e3) =
% 198.74/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_9 & op(e2, e2) = all_57_11 & op(e2,
% 198.74/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_13 & op(e2, e0) = all_57_15 &
% 198.74/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_8) &
% 198.74/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9) & $i(all_57_10) & $i(all_57_11)
% 198.74/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_12) & $i(all_57_13) &
% 198.74/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & $i(all_57_15)) | (all_57_29
% 198.74/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & ~ (all_57_16 = e3) & ~ (all_57_18 =
% 198.74/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_20 = e1) & ~ (all_57_22
% 198.74/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_31 = e1) & op(e1,
% 198.74/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17) = all_57_16 & op(e1, all_57_19)
% 198.74/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_18 & op(e1, all_57_21) = all_57_20
% 198.74/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, all_57_23) = all_57_22 & op(e1, e3)
% 198.74/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_17 & op(e1, e2) = all_57_19 &
% 198.74/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_21 & op(e1, e0) =
% 198.74/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23 & op(e0, e1) = e0 & $i(all_57_16)
% 198.74/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_17) & $i(all_57_18) &
% 198.74/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_20) &
% 198.74/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_22) &
% 198.74/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23))))
% 198.74/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.74/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (160), (162), (7532), (9351), (9352), (9355),
% 198.74/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9575), (9606), (function-axioms) are inconsistent
% 198.74/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #726.
% 198.74/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.74/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 198.74/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.74/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 198.74/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.74/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 198.74/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.74/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 198.74/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.74/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 198.74/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.74/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 198.74/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.74/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 198.74/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.74/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 198.74/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.74/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9607) all_56_3 = e1 & op(e2, e2) = e1
% 198.74/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.74/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9607) implies:
% 198.74/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9608) op(e2, e2) = e1
% 198.74/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.74/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (9313), (9608), (function-axioms) are
% 198.74/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1684.
% 198.74/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.74/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 198.74/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.74/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 198.74/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.74/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9609) (all_56_5 = e1 & op(e2, e1) = e1) | (all_56_10 =
% 198.74/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e2, e0) = e1)
% 198.74/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.74/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9609) gives:
% 198.74/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.74/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 198.74/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.74/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9610) all_56_5 = e1 & op(e2, e1) = e1
% 198.74/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.74/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9610) implies:
% 198.74/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9611) all_56_5 = e1
% 198.74/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.74/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (9), (217), (219), (9328),
% 198.74/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9355), (9611), (function-axioms) are inconsistent
% 198.74/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1159.
% 198.74/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.74/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 198.74/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.74/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9612) all_56_10 = e1 & op(e2, e0) = e1
% 198.74/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.74/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (9556), (9612) are inconsistent by sub-proof
% 198.74/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1788.
% 198.74/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.74/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 198.74/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.74/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 198.74/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.74/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 198.74/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.74/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 198.74/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.74/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9613) (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_9 = e0
% 198.74/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e0)
% 198.74/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.74/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9613) gives:
% 198.74/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.74/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 198.74/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.74/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9614) all_56_4 = e0 & op(e3, e1) = e0
% 198.74/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.74/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (9328), (9614) are inconsistent by sub-proof
% 198.74/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1164.
% 198.74/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.74/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 198.74/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.74/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9615) all_56_9 = e0 & op(e3, e0) = e0
% 198.74/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.74/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9615) implies:
% 198.74/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9616) all_56_9 = e0
% 198.74/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.74/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (9559), (9616) are inconsistent by sub-proof
% 198.74/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1168.
% 198.74/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.74/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 198.74/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.74/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 198.74/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.74/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 198.74/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.74/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9617) all_56_10 = e1 & op(e2, e0) = e1
% 198.74/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.74/31.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9617) implies:
% 198.74/31.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9618) all_56_10 = e1
% 198.74/31.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.74/31.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (9556), (9618) are inconsistent by sub-proof
% 198.74/31.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1453.
% 198.74/31.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.74/31.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 198.74/31.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.74/31.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 198.74/31.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.74/31.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9619) (all_56_11 = e1 & op(e1, e0) = e1) | (all_56_15 =
% 198.74/31.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = e1)
% 198.74/31.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.74/31.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (160), (7532), (9352), (9619),
% 198.74/31.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 198.74/31.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | #767.
% 198.74/31.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.74/31.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 198.74/31.82 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.74/31.82 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 198.74/31.82 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.74/31.82 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 198.74/31.82 | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.74/31.82 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 198.74/31.82 | | | | | | | | | | | | | | | | | | | | | | | |
% 198.74/31.82 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 198.74/31.82 | | | | | | | | | | | | | | | | | | | | | | | |
% 198.74/31.82 | | | | | | | | | | | | | | | | | | | | | | | | (9620) (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_14 =
% 198.74/31.82 | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0)
% 198.74/31.82 | | | | | | | | | | | | | | | | | | | | | | | |
% 198.74/31.82 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (9355), (9546), (9620),
% 198.74/31.82 | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 198.74/31.82 | | | | | | | | | | | | | | | | | | | | | | | | #1028.
% 198.74/31.82 | | | | | | | | | | | | | | | | | | | | | | | |
% 198.74/31.82 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 198.74/31.82 | | | | | | | | | | | | | | | | | | | | | | |
% 198.74/31.82 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 198.74/31.82 | | | | | | | | | | | | | | | | | | | | | | |
% 198.74/31.82 | | | | | | | | | | | | | | | | | | | | | | | (9621) all_56_15 = e2 & op(e0, e0) = e2
% 198.74/31.82 | | | | | | | | | | | | | | | | | | | | | | |
% 198.74/31.82 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9621) implies:
% 198.74/31.82 | | | | | | | | | | | | | | | | | | | | | | | (9622) op(e0, e0) = e2
% 198.74/31.82 | | | | | | | | | | | | | | | | | | | | | | |
% 198.74/31.82 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (7532), (9622), (function-axioms) are
% 198.74/31.82 | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1838.
% 198.74/31.82 | | | | | | | | | | | | | | | | | | | | | | |
% 198.74/31.82 | | | | | | | | | | | | | | | | | | | | | | End of split
% 198.74/31.82 | | | | | | | | | | | | | | | | | | | | | |
% 198.74/31.82 | | | | | | | | | | | | | | | | | | | | | End of split
% 198.74/31.82 | | | | | | | | | | | | | | | | | | | | |
% 198.74/31.82 | | | | | | | | | | | | | | | | | | | | Case 2:
% 198.74/31.82 | | | | | | | | | | | | | | | | | | | | |
% 198.74/31.82 | | | | | | | | | | | | | | | | | | | | | (9623) all_54_10 = e0
% 198.74/31.82 | | | | | | | | | | | | | | | | | | | | |
% 198.74/31.82 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (335), (372), (9623) are inconsistent by sub-proof
% 198.74/31.82 | | | | | | | | | | | | | | | | | | | | | #1950.
% 198.74/31.82 | | | | | | | | | | | | | | | | | | | | |
% 198.74/31.82 | | | | | | | | | | | | | | | | | | | | End of split
% 198.74/31.82 | | | | | | | | | | | | | | | | | | | |
% 198.74/31.82 | | | | | | | | | | | | | | | | | | | End of split
% 198.74/31.82 | | | | | | | | | | | | | | | | | | |
% 198.74/31.82 | | | | | | | | | | | | | | | | | | End of split
% 198.74/31.82 | | | | | | | | | | | | | | | | | |
% 198.74/31.82 | | | | | | | | | | | | | | | | | Case 2:
% 198.74/31.82 | | | | | | | | | | | | | | | | | |
% 198.74/31.82 | | | | | | | | | | | | | | | | | | (9624) all_56_9 = e3 & op(e3, e0) = e3
% 198.74/31.82 | | | | | | | | | | | | | | | | | |
% 198.74/31.82 | | | | | | | | | | | | | | | | | | ALPHA: (9624) implies:
% 198.74/31.82 | | | | | | | | | | | | | | | | | | (9625) op(e3, e0) = e3
% 198.74/31.82 | | | | | | | | | | | | | | | | | |
% 198.74/31.82 | | | | | | | | | | | | | | | | | | REF_CLOSE: (168), (7529), (9625), (function-axioms) are
% 198.74/31.82 | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1928.
% 198.74/31.82 | | | | | | | | | | | | | | | | | |
% 198.74/31.82 | | | | | | | | | | | | | | | | | End of split
% 198.74/31.82 | | | | | | | | | | | | | | | | |
% 198.74/31.82 | | | | | | | | | | | | | | | | End of split
% 198.74/31.82 | | | | | | | | | | | | | | | |
% 198.74/31.82 | | | | | | | | | | | | | | | Case 2:
% 198.74/31.82 | | | | | | | | | | | | | | | |
% 198.74/31.82 | | | | | | | | | | | | | | | | (9626) all_56_12 = e3 & op(e0, e3) = e3
% 198.74/31.82 | | | | | | | | | | | | | | | |
% 198.74/31.82 | | | | | | | | | | | | | | | | ALPHA: (9626) implies:
% 198.74/31.82 | | | | | | | | | | | | | | | | (9627) all_56_12 = e3
% 198.74/31.82 | | | | | | | | | | | | | | | |
% 198.74/31.82 | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (206), (207), (208),
% 198.74/31.82 | | | | | | | | | | | | | | | | (7532), (9627), (function-axioms) are inconsistent
% 198.74/31.82 | | | | | | | | | | | | | | | | by sub-proof #1442.
% 198.74/31.82 | | | | | | | | | | | | | | | |
% 198.74/31.82 | | | | | | | | | | | | | | | End of split
% 198.74/31.82 | | | | | | | | | | | | | | |
% 198.74/31.82 | | | | | | | | | | | | | | End of split
% 198.74/31.82 | | | | | | | | | | | | | |
% 198.74/31.82 | | | | | | | | | | | | | End of split
% 198.74/31.82 | | | | | | | | | | | | |
% 198.74/31.82 | | | | | | | | | | | | End of split
% 198.74/31.82 | | | | | | | | | | | |
% 198.74/31.82 | | | | | | | | | | | Case 2:
% 198.74/31.82 | | | | | | | | | | | |
% 198.74/31.82 | | | | | | | | | | | | (9628) all_56_1 = e2 & op(e3, e2) = e2
% 198.74/31.82 | | | | | | | | | | | |
% 198.74/31.82 | | | | | | | | | | | | ALPHA: (9628) implies:
% 198.74/31.82 | | | | | | | | | | | | (9629) op(e3, e2) = e2
% 198.74/31.82 | | | | | | | | | | | |
% 198.74/31.82 | | | | | | | | | | | | REF_CLOSE: (170), (9012), (9629), (function-axioms) are
% 198.74/31.82 | | | | | | | | | | | | inconsistent by sub-proof #1972.
% 198.74/31.82 | | | | | | | | | | | |
% 198.74/31.82 | | | | | | | | | | | End of split
% 198.74/31.82 | | | | | | | | | | |
% 198.74/31.82 | | | | | | | | | | Case 2:
% 198.74/31.82 | | | | | | | | | | |
% 198.74/31.82 | | | | | | | | | | | (9630) (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_9 = e2
% 198.74/31.82 | | | | | | | | | | | & op(e3, e0) = e2)
% 198.74/31.82 | | | | | | | | | | |
% 198.74/31.82 | | | | | | | | | | | REF_CLOSE: (169), (7523), (9013), (9015), (9630),
% 198.74/31.82 | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 198.74/31.82 | | | | | | | | | | | #710.
% 198.74/31.82 | | | | | | | | | | |
% 198.74/31.82 | | | | | | | | | | End of split
% 198.74/31.82 | | | | | | | | | |
% 198.74/31.82 | | | | | | | | | End of split
% 198.74/31.82 | | | | | | | | |
% 198.74/31.82 | | | | | | | | End of split
% 198.74/31.82 | | | | | | | |
% 198.74/31.82 | | | | | | | End of split
% 198.74/31.82 | | | | | | |
% 198.74/31.82 | | | | | | End of split
% 198.74/31.82 | | | | | |
% 198.74/31.82 | | | | | End of split
% 198.74/31.82 | | | | |
% 198.74/31.82 | | | | End of split
% 198.74/31.82 | | | |
% 198.74/31.82 | | | Case 2:
% 198.74/31.82 | | | |
% 198.74/31.82 | | | | (9631) all_8_2 = e2
% 198.74/31.82 | | | | (9632) op(e2, e1) = all_8_1 & $i(all_8_1) & ( ~ (all_8_1 = e0) | ( ~
% 198.74/31.82 | | | | (all_8_0 = e3) & op(e0, e2) = all_8_0 & $i(all_8_0)))
% 198.74/31.82 | | | |
% 198.74/31.82 | | | | ALPHA: (9632) implies:
% 198.74/31.82 | | | | (9633) op(e2, e1) = all_8_1
% 198.74/31.82 | | | | (9634) ~ (all_8_1 = e0) | ( ~ (all_8_0 = e3) & op(e0, e2) = all_8_0
% 198.74/31.82 | | | | & $i(all_8_0))
% 198.74/31.82 | | | |
% 198.74/31.82 | | | | COMBINE_EQS: (330), (9631) imply:
% 198.74/31.82 | | | | (9635) all_4_2 = e2
% 198.74/31.82 | | | |
% 198.74/31.82 | | | | SIMP: (9635) implies:
% 198.74/31.82 | | | | (9636) all_4_2 = e2
% 198.74/31.82 | | | |
% 198.74/31.82 | | | | COMBINE_EQS: (299), (9636) imply:
% 198.74/31.82 | | | | (9637) all_48_2 = e2
% 198.74/31.82 | | | |
% 198.74/31.82 | | | | REDUCE: (349), (9636) imply:
% 198.74/31.82 | | | | (9638) ~ (all_52_2 = e2)
% 198.74/31.82 | | | |
% 198.74/31.82 | | | | REDUCE: (360), (9636) imply:
% 198.74/31.82 | | | | (9639) ~ (all_52_6 = e2)
% 198.74/31.82 | | | |
% 198.74/31.82 | | | | REDUCE: (362), (9636) imply:
% 198.74/31.82 | | | | (9640) ~ (all_52_8 = e2)
% 198.74/31.82 | | | |
% 198.74/31.82 | | | | REDUCE: (363), (9636) imply:
% 198.74/31.82 | | | | (9641) ~ (all_52_9 = e2)
% 198.74/31.82 | | | |
% 198.74/31.82 | | | | REDUCE: (365), (9636) imply:
% 198.74/31.82 | | | | (9642) ~ (all_52_11 = e2)
% 198.74/31.82 | | | |
% 198.74/31.82 | | | | REDUCE: (367), (9636) imply:
% 198.74/31.82 | | | | (9643) ~ (all_52_14 = e2)
% 198.74/31.82 | | | |
% 198.74/31.82 | | | | BETA: splitting (215) gives:
% 198.74/31.82 | | | |
% 198.74/31.82 | | | | Case 1:
% 198.74/31.82 | | | | |
% 198.74/31.82 | | | | | (9644) (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_7 = e2 & op(e1,
% 198.74/31.82 | | | | | e2) = e2)
% 198.74/31.82 | | | | |
% 198.74/31.82 | | | | | REF_CLOSE: (162), (163), (9638), (9639), (9644), (function-axioms) are
% 198.74/31.82 | | | | | inconsistent by sub-proof #1042.
% 198.74/31.82 | | | | |
% 198.74/31.82 | | | | Case 2:
% 198.74/31.82 | | | | |
% 198.74/31.82 | | | | | (9645) (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_11 = e2 & op(e1,
% 198.74/31.82 | | | | | e0) = e2)
% 198.74/31.82 | | | | |
% 198.74/31.82 | | | | | BETA: splitting (9645) gives:
% 198.74/31.82 | | | | |
% 198.74/31.82 | | | | | Case 1:
% 198.74/31.82 | | | | | |
% 198.74/31.82 | | | | | | (9646) all_56_8 = e2 & op(e1, e1) = e2
% 198.74/31.82 | | | | | |
% 198.74/31.82 | | | | | | ALPHA: (9646) implies:
% 198.74/31.82 | | | | | | (9647) all_56_8 = e2
% 198.74/31.82 | | | | | | (9648) op(e1, e1) = e2
% 198.74/31.82 | | | | | |
% 198.74/31.82 | | | | | | BETA: splitting (103) gives:
% 198.74/31.82 | | | | | |
% 198.74/31.82 | | | | | | Case 1:
% 198.74/31.82 | | | | | | |
% 198.74/31.82 | | | | | | | (9649) ~ (all_48_2 = e2)
% 198.74/31.82 | | | | | | |
% 198.74/31.82 | | | | | | | REDUCE: (9637), (9649) imply:
% 198.74/31.82 | | | | | | | (9650) $false
% 198.74/31.82 | | | | | | |
% 198.74/31.82 | | | | | | | CLOSE: (9650) is inconsistent.
% 198.74/31.82 | | | | | | |
% 198.74/31.82 | | | | | | Case 2:
% 198.74/31.82 | | | | | | |
% 198.74/31.82 | | | | | | | (9651) op(e2, e1) = all_48_1 & $i(all_48_1) & ( ~ (all_48_1 =
% 198.74/31.82 | | | | | | | e3) | ( ~ (all_48_0 = e0) & op(e3, e2) = all_48_0 &
% 198.74/31.82 | | | | | | | $i(all_48_0)))
% 198.74/31.82 | | | | | | |
% 198.74/31.82 | | | | | | | ALPHA: (9651) implies:
% 198.74/31.82 | | | | | | | (9652) op(e2, e1) = all_48_1
% 198.74/31.82 | | | | | | | (9653) ~ (all_48_1 = e3) | ( ~ (all_48_0 = e0) & op(e3, e2) =
% 198.74/31.82 | | | | | | | all_48_0 & $i(all_48_0))
% 198.74/31.82 | | | | | | |
% 198.74/31.82 | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_9,
% 198.74/31.82 | | | | | | | all_8_1, e1, e2, simplifying with (165), (9633)
% 198.74/31.82 | | | | | | | gives:
% 198.74/31.82 | | | | | | | (9654) all_52_9 = all_8_1
% 198.74/31.82 | | | | | | |
% 198.74/31.82 | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_9,
% 198.74/31.82 | | | | | | | all_48_1, e1, e2, simplifying with (165), (9652)
% 198.74/31.82 | | | | | | | gives:
% 198.74/31.82 | | | | | | | (9655) all_52_9 = all_48_1
% 198.74/31.82 | | | | | | |
% 198.74/31.82 | | | | | | | COMBINE_EQS: (9654), (9655) imply:
% 198.74/31.82 | | | | | | | (9656) all_48_1 = all_8_1
% 198.74/31.82 | | | | | | |
% 198.74/31.82 | | | | | | | SIMP: (9656) implies:
% 198.74/31.82 | | | | | | | (9657) all_48_1 = all_8_1
% 198.74/31.82 | | | | | | |
% 198.74/31.82 | | | | | | | COMBINE_EQS: (261), (9654) imply:
% 198.74/31.82 | | | | | | | (9658) all_54_6 = all_8_1
% 198.74/31.82 | | | | | | |
% 198.74/31.82 | | | | | | | REDUCE: (146), (9654) imply:
% 198.74/31.82 | | | | | | | (9659) ~ (all_52_1 = all_8_1)
% 198.74/31.82 | | | | | | |
% 198.74/31.82 | | | | | | | REDUCE: (123), (9654) imply:
% 198.74/31.82 | | | | | | | (9660) ~ (all_52_8 = all_8_1)
% 198.74/31.82 | | | | | | |
% 198.74/31.82 | | | | | | | REDUCE: (118), (9654) imply:
% 198.74/31.82 | | | | | | | (9661) ~ (all_52_11 = all_8_1)
% 198.74/31.82 | | | | | | |
% 198.74/31.82 | | | | | | | SIMP: (9661) implies:
% 198.74/31.82 | | | | | | | (9662) ~ (all_52_11 = all_8_1)
% 198.74/31.82 | | | | | | |
% 198.74/31.82 | | | | | | | REDUCE: (117), (9654) imply:
% 198.74/31.82 | | | | | | | (9663) ~ (all_52_13 = all_8_1)
% 198.74/31.82 | | | | | | |
% 198.74/31.82 | | | | | | | SIMP: (9663) implies:
% 198.74/31.82 | | | | | | | (9664) ~ (all_52_13 = all_8_1)
% 198.74/31.82 | | | | | | |
% 198.74/31.82 | | | | | | | REDUCE: (357), (9654) imply:
% 198.74/31.82 | | | | | | | (9665) ~ (all_8_1 = all_6_2)
% 198.74/31.82 | | | | | | |
% 198.74/31.82 | | | | | | | REDUCE: (9641), (9654) imply:
% 198.74/31.82 | | | | | | | (9666) ~ (all_8_1 = e2)
% 198.74/31.82 | | | | | | |
% 198.74/31.82 | | | | | | | BETA: splitting (46) gives:
% 198.74/31.82 | | | | | | |
% 198.74/31.82 | | | | | | | Case 1:
% 198.74/31.82 | | | | | | | |
% 198.74/31.82 | | | | | | | | (9667) ~ (all_10_2 = e3)
% 198.74/31.82 | | | | | | | |
% 198.74/31.82 | | | | | | | | BETA: splitting (52) gives:
% 198.74/31.82 | | | | | | | |
% 198.74/31.82 | | | | | | | | Case 1:
% 198.74/31.82 | | | | | | | | |
% 198.74/31.82 | | | | | | | | | (9668) ~ (all_14_2 = e2)
% 198.74/31.82 | | | | | | | | |
% 198.74/31.82 | | | | | | | | | BETA: splitting (55) gives:
% 198.74/31.82 | | | | | | | | |
% 198.74/31.82 | | | | | | | | | Case 1:
% 198.74/31.82 | | | | | | | | | |
% 198.74/31.82 | | | | | | | | | | (9669) ~ (all_16_2 = e3)
% 198.74/31.82 | | | | | | | | | |
% 198.74/31.82 | | | | | | | | | | REDUCE: (328), (9669) imply:
% 198.74/31.82 | | | | | | | | | | (9670) ~ (all_6_2 = e3)
% 198.74/31.82 | | | | | | | | | |
% 198.74/31.82 | | | | | | | | | | BETA: splitting (61) gives:
% 198.74/31.82 | | | | | | | | | |
% 198.74/31.82 | | | | | | | | | | Case 1:
% 198.74/31.82 | | | | | | | | | | |
% 198.74/31.82 | | | | | | | | | | | (9671) ~ (all_20_2 = e0)
% 198.74/31.82 | | | | | | | | | | |
% 198.74/31.82 | | | | | | | | | | | REDUCE: (283), (9671) imply:
% 198.74/31.82 | | | | | | | | | | | (9672) ~ (all_6_2 = e0)
% 198.74/31.82 | | | | | | | | | | |
% 198.74/31.82 | | | | | | | | | | | BETA: splitting (199) gives:
% 198.74/31.82 | | | | | | | | | | |
% 198.74/31.82 | | | | | | | | | | | Case 1:
% 198.74/31.82 | | | | | | | | | | | |
% 198.74/31.82 | | | | | | | | | | | | (9673) all_54_5 = e3
% 198.74/31.82 | | | | | | | | | | | |
% 198.74/31.82 | | | | | | | | | | | | COMBINE_EQS: (268), (9673) imply:
% 198.74/31.82 | | | | | | | | | | | | (9674) all_6_2 = e3
% 198.74/31.82 | | | | | | | | | | | |
% 198.74/31.82 | | | | | | | | | | | | REDUCE: (9670), (9674) imply:
% 198.74/31.82 | | | | | | | | | | | | (9675) $false
% 198.74/31.82 | | | | | | | | | | | |
% 198.74/31.82 | | | | | | | | | | | | CLOSE: (9675) is inconsistent.
% 198.74/31.82 | | | | | | | | | | | |
% 198.74/31.82 | | | | | | | | | | | Case 2:
% 198.74/31.82 | | | | | | | | | | | |
% 198.74/31.82 | | | | | | | | | | | | (9676) ~ (all_54_5 = e3)
% 198.74/31.82 | | | | | | | | | | | | (9677) all_54_5 = e2 | all_54_5 = e1 | all_54_5 = e0
% 198.74/31.82 | | | | | | | | | | | |
% 198.74/31.82 | | | | | | | | | | | | BETA: splitting (9677) gives:
% 198.74/31.82 | | | | | | | | | | | |
% 198.74/31.82 | | | | | | | | | | | | Case 1:
% 198.74/31.82 | | | | | | | | | | | | |
% 198.74/31.82 | | | | | | | | | | | | | (9678) all_54_5 = e2
% 198.74/31.82 | | | | | | | | | | | | |
% 198.74/31.82 | | | | | | | | | | | | | COMBINE_EQS: (268), (9678) imply:
% 198.74/31.82 | | | | | | | | | | | | | (9679) all_6_2 = e2
% 198.74/31.82 | | | | | | | | | | | | |
% 198.74/31.82 | | | | | | | | | | | | | REDUCE: (348), (9679) imply:
% 198.74/31.82 | | | | | | | | | | | | | (9680) ~ (all_52_1 = e2)
% 198.74/31.82 | | | | | | | | | | | | |
% 198.74/31.82 | | | | | | | | | | | | | REDUCE: (351), (9679) imply:
% 198.74/31.82 | | | | | | | | | | | | | (9681) ~ (all_52_4 = e2)
% 198.74/31.82 | | | | | | | | | | | | |
% 198.74/31.82 | | | | | | | | | | | | | REDUCE: (9670), (9679) imply:
% 198.74/31.82 | | | | | | | | | | | | | (9682) ~ (e3 = e2)
% 198.74/31.82 | | | | | | | | | | | | |
% 198.74/31.82 | | | | | | | | | | | | | REDUCE: (39), (9679) imply:
% 198.74/31.82 | | | | | | | | | | | | | (9683) op(e2, e2) = e2
% 198.74/31.82 | | | | | | | | | | | | |
% 198.74/31.82 | | | | | | | | | | | | | BETA: splitting (233) gives:
% 198.74/31.82 | | | | | | | | | | | | |
% 198.74/31.82 | | | | | | | | | | | | | Case 1:
% 198.74/31.82 | | | | | | | | | | | | | |
% 198.74/31.82 | | | | | | | | | | | | | | (9684) (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2
% 198.74/31.82 | | | | | | | | | | | | | | & op(e2, e3) = e2)
% 198.74/31.82 | | | | | | | | | | | | | |
% 198.74/31.82 | | | | | | | | | | | | | | REF_CLOSE: (51), (167), (9668), (9680), (9684),
% 198.74/31.82 | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 198.74/31.82 | | | | | | | | | | | | | | #1590.
% 198.74/31.82 | | | | | | | | | | | | | |
% 198.74/31.82 | | | | | | | | | | | | | Case 2:
% 198.74/31.82 | | | | | | | | | | | | | |
% 198.74/31.82 | | | | | | | | | | | | | | (9685) (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_12 =
% 198.74/31.82 | | | | | | | | | | | | | | e2 & op(e0, e3) = e2)
% 198.74/31.82 | | | | | | | | | | | | | |
% 198.74/31.82 | | | | | | | | | | | | | | BETA: splitting (9685) gives:
% 198.74/31.82 | | | | | | | | | | | | | |
% 198.74/31.82 | | | | | | | | | | | | | | Case 1:
% 198.74/31.82 | | | | | | | | | | | | | | |
% 198.74/31.82 | | | | | | | | | | | | | | | (9686) all_56_6 = e2 & op(e1, e3) = e2
% 198.74/31.82 | | | | | | | | | | | | | | |
% 198.74/31.82 | | | | | | | | | | | | | | | REF_CLOSE: (163), (9638), (9686), (function-axioms) are
% 198.74/31.82 | | | | | | | | | | | | | | | inconsistent by sub-proof #1306.
% 198.74/31.82 | | | | | | | | | | | | | | |
% 198.74/31.82 | | | | | | | | | | | | | | Case 2:
% 198.74/31.82 | | | | | | | | | | | | | | |
% 198.74/31.82 | | | | | | | | | | | | | | | (9687) all_56_12 = e2 & op(e0, e3) = e2
% 198.74/31.82 | | | | | | | | | | | | | | |
% 198.74/31.82 | | | | | | | | | | | | | | | ALPHA: (9687) implies:
% 198.74/31.82 | | | | | | | | | | | | | | | (9688) all_56_12 = e2
% 198.74/31.82 | | | | | | | | | | | | | | | (9689) op(e0, e3) = e2
% 198.74/31.82 | | | | | | | | | | | | | | |
% 198.74/31.82 | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (45), (51), (73),
% 198.74/31.82 | | | | | | | | | | | | | | | (82), (85), (91), (97), (100), (110), (112),
% 198.74/31.82 | | | | | | | | | | | | | | | (113), (120), (121), (125), (126), (128), (133),
% 198.74/31.82 | | | | | | | | | | | | | | | (134), (135), (136), (139), (140), (141), (143),
% 198.74/31.82 | | | | | | | | | | | | | | | (144), (145), (148), (149), (157), (158), (159),
% 198.74/31.82 | | | | | | | | | | | | | | | (160), (163), (164), (167), (168), (169), (170),
% 198.74/31.82 | | | | | | | | | | | | | | | (189), (190), (191), (193), (195), (196), (197),
% 198.74/31.82 | | | | | | | | | | | | | | | (198), (200), (202), (203), (204), (206), (209),
% 198.74/31.82 | | | | | | | | | | | | | | | (210), (212), (214), (216), (217), (218), (220),
% 198.74/31.82 | | | | | | | | | | | | | | | (222), (224), (225), (226), (228), (229), (230),
% 198.74/31.82 | | | | | | | | | | | | | | | (232), (234), (235), (236), (238), (239), (246),
% 198.74/31.82 | | | | | | | | | | | | | | | (247), (248), (250), (258), (259), (260), (269),
% 198.74/31.82 | | | | | | | | | | | | | | | (271), (272), (279), (281), (297), (305), (307),
% 198.74/31.82 | | | | | | | | | | | | | | | (313), (315), (337), (339), (343), (345), (347),
% 198.74/31.82 | | | | | | | | | | | | | | | (361), (368), (369), (370), (371), (9633), (9634),
% 198.74/31.82 | | | | | | | | | | | | | | | (9639), (9640), (9647), (9648), (9658), (9659),
% 198.74/31.82 | | | | | | | | | | | | | | | (9664), (9666), (9667), (9668), (9681), (9683),
% 198.74/31.82 | | | | | | | | | | | | | | | (9688), (9689), (function-axioms) are inconsistent
% 198.74/31.82 | | | | | | | | | | | | | | | by sub-proof #648.
% 198.74/31.82 | | | | | | | | | | | | | | |
% 198.74/31.82 | | | | | | | | | | | | | | End of split
% 198.74/31.82 | | | | | | | | | | | | | |
% 198.74/31.82 | | | | | | | | | | | | | End of split
% 198.74/31.82 | | | | | | | | | | | | |
% 198.74/31.82 | | | | | | | | | | | | Case 2:
% 198.74/31.82 | | | | | | | | | | | | |
% 198.74/31.82 | | | | | | | | | | | | | (9690) all_54_5 = e1 | all_54_5 = e0
% 198.74/31.82 | | | | | | | | | | | | |
% 198.74/31.82 | | | | | | | | | | | | | REF_CLOSE: (268), (373), (9672), (9690) are inconsistent by
% 198.74/31.82 | | | | | | | | | | | | | sub-proof #1517.
% 198.74/31.82 | | | | | | | | | | | | |
% 198.74/31.82 | | | | | | | | | | | | End of split
% 198.74/31.82 | | | | | | | | | | | |
% 198.74/31.82 | | | | | | | | | | | End of split
% 198.74/31.82 | | | | | | | | | | |
% 198.74/31.82 | | | | | | | | | | Case 2:
% 198.74/31.82 | | | | | | | | | | |
% 198.74/31.82 | | | | | | | | | | | (9691) all_20_2 = e0
% 198.74/31.82 | | | | | | | | | | | (9692) op(e0, e2) = all_20_1 & $i(all_20_1) & ( ~
% 198.74/31.82 | | | | | | | | | | | (all_20_1 = e3) | ( ~ (all_20_0 = e1) & op(e3,
% 198.74/31.82 | | | | | | | | | | | e0) = all_20_0 & $i(all_20_0)))
% 198.74/31.82 | | | | | | | | | | |
% 198.74/31.82 | | | | | | | | | | | ALPHA: (9692) implies:
% 198.74/31.82 | | | | | | | | | | | (9693) op(e0, e2) = all_20_1
% 198.74/31.82 | | | | | | | | | | |
% 198.74/31.82 | | | | | | | | | | | COMBINE_EQS: (283), (9691) imply:
% 198.74/31.82 | | | | | | | | | | | (9694) all_6_2 = e0
% 198.74/31.82 | | | | | | | | | | |
% 198.74/31.82 | | | | | | | | | | | SIMP: (9694) implies:
% 198.74/31.82 | | | | | | | | | | | (9695) all_6_2 = e0
% 198.74/31.82 | | | | | | | | | | |
% 198.74/31.82 | | | | | | | | | | | COMBINE_EQS: (331), (9695) imply:
% 198.74/31.82 | | | | | | | | | | | (9696) all_26_2 = e0
% 198.74/31.82 | | | | | | | | | | |
% 198.74/31.82 | | | | | | | | | | | REDUCE: (351), (9695) imply:
% 198.74/31.82 | | | | | | | | | | | (9697) ~ (all_52_4 = e0)
% 198.74/31.82 | | | | | | | | | | |
% 198.74/31.82 | | | | | | | | | | | REDUCE: (353), (9695) imply:
% 198.74/31.82 | | | | | | | | | | | (9698) ~ (all_52_6 = e0)
% 198.74/31.82 | | | | | | | | | | |
% 198.74/31.82 | | | | | | | | | | | REDUCE: (355), (9695) imply:
% 198.74/31.82 | | | | | | | | | | | (9699) ~ (all_52_7 = e0)
% 198.74/31.82 | | | | | | | | | | |
% 198.74/31.82 | | | | | | | | | | | REDUCE: (359), (9695) imply:
% 198.74/31.82 | | | | | | | | | | | (9700) ~ (all_52_13 = e0)
% 198.74/31.82 | | | | | | | | | | |
% 198.74/31.82 | | | | | | | | | | | REDUCE: (9665), (9695) imply:
% 198.74/31.82 | | | | | | | | | | | (9701) ~ (all_8_1 = e0)
% 198.74/31.82 | | | | | | | | | | |
% 198.74/31.82 | | | | | | | | | | | REDUCE: (9670), (9695) imply:
% 198.74/31.82 | | | | | | | | | | | (9702) ~ (e3 = e0)
% 198.74/31.82 | | | | | | | | | | |
% 198.74/31.82 | | | | | | | | | | | REDUCE: (373), (9695) imply:
% 198.74/31.82 | | | | | | | | | | | (9703) ~ (e1 = e0)
% 198.74/31.82 | | | | | | | | | | |
% 198.74/31.82 | | | | | | | | | | | REDUCE: (39), (9695) imply:
% 198.74/31.82 | | | | | | | | | | | (9704) op(e2, e2) = e0
% 198.74/31.82 | | | | | | | | | | |
% 198.74/31.82 | | | | | | | | | | | BETA: splitting (70) gives:
% 198.74/31.82 | | | | | | | | | | |
% 198.74/31.82 | | | | | | | | | | | Case 1:
% 198.74/31.82 | | | | | | | | | | | |
% 198.74/31.82 | | | | | | | | | | | | (9705) ~ (all_26_2 = e0)
% 198.74/31.82 | | | | | | | | | | | |
% 198.74/31.82 | | | | | | | | | | | | REDUCE: (9696), (9705) imply:
% 198.74/31.82 | | | | | | | | | | | | (9706) $false
% 198.74/31.82 | | | | | | | | | | | |
% 198.74/31.82 | | | | | | | | | | | | CLOSE: (9706) is inconsistent.
% 198.74/31.82 | | | | | | | | | | | |
% 198.74/31.82 | | | | | | | | | | | Case 2:
% 198.74/31.82 | | | | | | | | | | | |
% 198.74/31.82 | | | | | | | | | | | | (9707) op(e0, e2) = all_26_1 & $i(all_26_1) & ( ~
% 198.74/31.82 | | | | | | | | | | | | (all_26_1 = e1) | ( ~ (all_26_0 = e3) & op(e1,
% 198.74/31.82 | | | | | | | | | | | | e0) = all_26_0 & $i(all_26_0)))
% 198.74/31.82 | | | | | | | | | | | |
% 198.74/31.82 | | | | | | | | | | | | ALPHA: (9707) implies:
% 198.74/31.82 | | | | | | | | | | | | (9708) op(e0, e2) = all_26_1
% 198.74/31.82 | | | | | | | | | | | | (9709) ~ (all_26_1 = e1) | ( ~ (all_26_0 = e3) & op(e1,
% 198.74/31.82 | | | | | | | | | | | | e0) = all_26_0 & $i(all_26_0))
% 198.74/31.82 | | | | | | | | | | | |
% 198.74/31.82 | | | | | | | | | | | | BETA: splitting (221) gives:
% 198.74/31.82 | | | | | | | | | | | |
% 198.74/31.82 | | | | | | | | | | | | Case 1:
% 198.74/31.82 | | | | | | | | | | | | |
% 198.74/31.82 | | | | | | | | | | | | | (9710) (all_56_2 = e0 & op(e2, e3) = e0) | (all_56_3 = e0
% 198.74/31.82 | | | | | | | | | | | | | & op(e2, e2) = e0)
% 198.74/31.82 | | | | | | | | | | | | |
% 198.74/31.82 | | | | | | | | | | | | | BETA: splitting (9710) gives:
% 198.74/31.82 | | | | | | | | | | | | |
% 198.74/31.82 | | | | | | | | | | | | | Case 1:
% 198.74/31.82 | | | | | | | | | | | | | |
% 198.74/31.82 | | | | | | | | | | | | | | (9711) all_56_2 = e0 & op(e2, e3) = e0
% 198.74/31.82 | | | | | | | | | | | | | |
% 198.74/31.82 | | | | | | | | | | | | | | ALPHA: (9711) implies:
% 198.74/31.82 | | | | | | | | | | | | | | (9712) all_56_2 = e0
% 198.74/31.82 | | | | | | | | | | | | | |
% 198.74/31.82 | | | | | | | | | | | | | | BETA: splitting (223) gives:
% 198.74/31.82 | | | | | | | | | | | | | |
% 198.74/31.82 | | | | | | | | | | | | | | Case 1:
% 198.74/31.82 | | | | | | | | | | | | | | |
% 198.74/31.82 | | | | | | | | | | | | | | | (9713) (all_56_2 = e2 & op(e2, e3) = e2) | (all_56_3 = e2
% 198.74/31.82 | | | | | | | | | | | | | | | & op(e2, e2) = e2)
% 198.74/31.82 | | | | | | | | | | | | | | |
% 198.74/31.82 | | | | | | | | | | | | | | | REF_CLOSE: (5), (9704), (9712), (9713), (function-axioms) are
% 198.74/31.82 | | | | | | | | | | | | | | | inconsistent by sub-proof #1514.
% 198.74/31.82 | | | | | | | | | | | | | | |
% 198.74/31.82 | | | | | | | | | | | | | | Case 2:
% 198.74/31.82 | | | | | | | | | | | | | | |
% 198.74/31.82 | | | | | | | | | | | | | | | (9714) (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_10 =
% 198.74/31.82 | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2)
% 198.74/31.82 | | | | | | | | | | | | | | |
% 198.74/31.82 | | | | | | | | | | | | | | | BETA: splitting (9714) gives:
% 198.74/31.82 | | | | | | | | | | | | | | |
% 198.74/31.82 | | | | | | | | | | | | | | | Case 1:
% 198.74/31.82 | | | | | | | | | | | | | | | |
% 198.74/31.82 | | | | | | | | | | | | | | | | (9715) all_56_5 = e2 & op(e2, e1) = e2
% 198.74/31.82 | | | | | | | | | | | | | | | |
% 198.74/31.82 | | | | | | | | | | | | | | | | ALPHA: (9715) implies:
% 198.74/31.82 | | | | | | | | | | | | | | | | (9716) op(e2, e1) = e2
% 198.74/31.82 | | | | | | | | | | | | | | | |
% 198.74/31.82 | | | | | | | | | | | | | | | | REF_CLOSE: (9633), (9666), (9716), (function-axioms) are
% 198.74/31.82 | | | | | | | | | | | | | | | | inconsistent by sub-proof #707.
% 198.74/31.82 | | | | | | | | | | | | | | | |
% 198.74/31.82 | | | | | | | | | | | | | | | Case 2:
% 198.74/31.82 | | | | | | | | | | | | | | | |
% 198.74/31.82 | | | | | | | | | | | | | | | | (9717) all_56_10 = e2 & op(e2, e0) = e2
% 198.74/31.82 | | | | | | | | | | | | | | | |
% 198.74/31.82 | | | | | | | | | | | | | | | | ALPHA: (9717) implies:
% 198.74/31.82 | | | | | | | | | | | | | | | | (9718) all_56_10 = e2
% 198.74/31.82 | | | | | | | | | | | | | | | |
% 198.74/31.82 | | | | | | | | | | | | | | | | BETA: splitting (222) gives:
% 198.74/31.82 | | | | | | | | | | | | | | | |
% 198.74/31.82 | | | | | | | | | | | | | | | | Case 1:
% 198.74/31.82 | | | | | | | | | | | | | | | | |
% 198.74/31.82 | | | | | | | | | | | | | | | | | (9719) (all_56_2 = e1 & op(e2, e3) = e1) | (all_56_3 = e1
% 198.74/31.82 | | | | | | | | | | | | | | | | | & op(e2, e2) = e1)
% 198.74/31.82 | | | | | | | | | | | | | | | | |
% 198.74/31.82 | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (9704), (9712), (9719), (function-axioms) are
% 198.74/31.82 | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1511.
% 198.74/31.82 | | | | | | | | | | | | | | | | |
% 198.74/31.82 | | | | | | | | | | | | | | | | Case 2:
% 198.74/31.82 | | | | | | | | | | | | | | | | |
% 198.74/31.82 | | | | | | | | | | | | | | | | | (9720) (all_56_5 = e1 & op(e2, e1) = e1) | (all_56_10 =
% 198.74/31.82 | | | | | | | | | | | | | | | | | e1 & op(e2, e0) = e1)
% 198.74/31.82 | | | | | | | | | | | | | | | | |
% 198.74/31.82 | | | | | | | | | | | | | | | | | BETA: splitting (9720) gives:
% 198.74/31.82 | | | | | | | | | | | | | | | | |
% 198.74/31.82 | | | | | | | | | | | | | | | | | Case 1:
% 198.74/31.82 | | | | | | | | | | | | | | | | | |
% 198.74/31.82 | | | | | | | | | | | | | | | | | | (9721) all_56_5 = e1 & op(e2, e1) = e1
% 198.74/31.82 | | | | | | | | | | | | | | | | | |
% 198.74/31.82 | | | | | | | | | | | | | | | | | | ALPHA: (9721) implies:
% 198.74/31.82 | | | | | | | | | | | | | | | | | | (9722) all_56_5 = e1
% 198.74/31.82 | | | | | | | | | | | | | | | | | |
% 198.74/31.82 | | | | | | | | | | | | | | | | | | BETA: splitting (225) gives:
% 198.74/31.82 | | | | | | | | | | | | | | | | | |
% 198.74/31.82 | | | | | | | | | | | | | | | | | | Case 1:
% 198.74/31.82 | | | | | | | | | | | | | | | | | | |
% 198.74/31.82 | | | | | | | | | | | | | | | | | | | (9723) (all_56_1 = e0 & op(e3, e2) = e0) | (all_56_3 = e0
% 198.74/31.82 | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e0)
% 198.74/31.82 | | | | | | | | | | | | | | | | | | |
% 198.74/31.82 | | | | | | | | | | | | | | | | | | | BETA: splitting (9723) gives:
% 198.74/31.82 | | | | | | | | | | | | | | | | | | |
% 198.74/31.82 | | | | | | | | | | | | | | | | | | | Case 1:
% 198.74/31.82 | | | | | | | | | | | | | | | | | | | |
% 198.74/31.82 | | | | | | | | | | | | | | | | | | | | (9724) all_56_1 = e0 & op(e3, e2) = e0
% 198.74/31.82 | | | | | | | | | | | | | | | | | | | |
% 198.74/31.82 | | | | | | | | | | | | | | | | | | | | ALPHA: (9724) implies:
% 198.74/31.82 | | | | | | | | | | | | | | | | | | | | (9725) all_56_1 = e0
% 198.74/31.82 | | | | | | | | | | | | | | | | | | | |
% 198.74/31.82 | | | | | | | | | | | | | | | | | | | | BETA: splitting (227) gives:
% 198.74/31.82 | | | | | | | | | | | | | | | | | | | |
% 198.74/31.82 | | | | | | | | | | | | | | | | | | | | Case 1:
% 198.74/31.82 | | | | | | | | | | | | | | | | | | | | |
% 198.74/31.82 | | | | | | | | | | | | | | | | | | | | | (9726) (all_56_1 = e2 & op(e3, e2) = e2) | (all_56_3 = e2
% 198.74/31.82 | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e2)
% 198.74/31.82 | | | | | | | | | | | | | | | | | | | | |
% 198.74/31.82 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9726) gives:
% 198.74/31.82 | | | | | | | | | | | | | | | | | | | | |
% 198.74/31.82 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 198.74/31.82 | | | | | | | | | | | | | | | | | | | | | |
% 198.74/31.82 | | | | | | | | | | | | | | | | | | | | | | (9727) all_56_1 = e2 & op(e3, e2) = e2
% 198.74/31.82 | | | | | | | | | | | | | | | | | | | | | |
% 198.74/31.82 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9727) implies:
% 198.74/31.82 | | | | | | | | | | | | | | | | | | | | | | (9728) all_56_1 = e2
% 198.74/31.82 | | | | | | | | | | | | | | | | | | | | | |
% 198.74/31.82 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (9725), (9728) imply:
% 198.74/31.82 | | | | | | | | | | | | | | | | | | | | | | (9729) e2 = e0
% 198.74/31.82 | | | | | | | | | | | | | | | | | | | | | |
% 198.74/31.82 | | | | | | | | | | | | | | | | | | | | | | SIMP: (9729) implies:
% 198.74/31.82 | | | | | | | | | | | | | | | | | | | | | | (9730) e2 = e0
% 198.74/31.82 | | | | | | | | | | | | | | | | | | | | | |
% 198.74/31.82 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (9718), (9730) imply:
% 198.74/31.82 | | | | | | | | | | | | | | | | | | | | | | (9731) all_56_10 = e0
% 198.74/31.82 | | | | | | | | | | | | | | | | | | | | | |
% 198.74/31.82 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (45), (51), (73),
% 198.74/31.82 | | | | | | | | | | | | | | | | | | | | | | (76), (82), (85), (91), (97), (100), (110), (112),
% 198.74/31.82 | | | | | | | | | | | | | | | | | | | | | | (113), (120), (121), (125), (126), (128), (133),
% 198.74/31.82 | | | | | | | | | | | | | | | | | | | | | | (134), (135), (136), (139), (140), (141), (143),
% 198.74/31.82 | | | | | | | | | | | | | | | | | | | | | | (144), (145), (148), (149), (157), (158), (159),
% 198.74/31.82 | | | | | | | | | | | | | | | | | | | | | | (160), (162), (163), (164), (167), (168), (169),
% 198.74/31.82 | | | | | | | | | | | | | | | | | | | | | | (170), (189), (190), (191), (192), (193), (195),
% 198.74/31.82 | | | | | | | | | | | | | | | | | | | | | | (196), (197), (198), (200), (201), (202), (203),
% 198.74/31.82 | | | | | | | | | | | | | | | | | | | | | | (204), (206), (207), (208), (209), (210), (211),
% 198.74/31.82 | | | | | | | | | | | | | | | | | | | | | | (212), (213), (214), (216), (217), (218), (220),
% 198.74/31.82 | | | | | | | | | | | | | | | | | | | | | | (222), (223), (224), (225), (226), (227), (228),
% 198.74/31.82 | | | | | | | | | | | | | | | | | | | | | | (229), (230), (231), (232), (233), (234), (235),
% 198.74/31.82 | | | | | | | | | | | | | | | | | | | | | | (236), (238), (239), (246), (247), (248), (249),
% 198.74/31.82 | | | | | | | | | | | | | | | | | | | | | | (250), (258), (259), (260), (269), (270), (271),
% 198.74/31.82 | | | | | | | | | | | | | | | | | | | | | | (272), (279), (281), (297), (305), (307), (309),
% 198.74/31.82 | | | | | | | | | | | | | | | | | | | | | | (313), (315), (337), (339), (341), (343), (345),
% 198.74/31.82 | | | | | | | | | | | | | | | | | | | | | | (347), (350), (361), (368), (369), (370), (371),
% 198.74/31.82 | | | | | | | | | | | | | | | | | | | | | | (9633), (9634), (9638), (9639), (9640), (9642),
% 198.74/31.82 | | | | | | | | | | | | | | | | | | | | | | (9643), (9647), (9648), (9658), (9659), (9660),
% 198.74/31.82 | | | | | | | | | | | | | | | | | | | | | | (9662), (9664), (9666), (9667), (9668), (9693),
% 198.74/31.82 | | | | | | | | | | | | | | | | | | | | | | (9697), (9698), (9699), (9700), (9701), (9704),
% 198.74/31.82 | | | | | | | | | | | | | | | | | | | | | | (9708), (9709), (9731), (function-axioms) are
% 198.74/31.82 | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #553.
% 198.74/31.82 | | | | | | | | | | | | | | | | | | | | | |
% 198.74/31.82 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 198.74/31.82 | | | | | | | | | | | | | | | | | | | | | |
% 198.74/31.82 | | | | | | | | | | | | | | | | | | | | | | (9732) all_56_3 = e2 & op(e2, e2) = e2
% 198.74/31.82 | | | | | | | | | | | | | | | | | | | | | |
% 198.74/31.82 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9732) implies:
% 198.74/31.82 | | | | | | | | | | | | | | | | | | | | | | (9733) op(e2, e2) = e2
% 198.74/31.82 | | | | | | | | | | | | | | | | | | | | | |
% 198.74/31.82 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (9704), (9733), (function-axioms) are
% 198.74/31.82 | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1960.
% 198.74/31.82 | | | | | | | | | | | | | | | | | | | | | |
% 198.74/31.82 | | | | | | | | | | | | | | | | | | | | | End of split
% 198.74/31.82 | | | | | | | | | | | | | | | | | | | | |
% 198.74/31.82 | | | | | | | | | | | | | | | | | | | | Case 2:
% 198.74/31.82 | | | | | | | | | | | | | | | | | | | | |
% 198.74/31.82 | | | | | | | | | | | | | | | | | | | | | (9734) (all_56_7 = e2 & op(e1, e2) = e2) | (all_56_13 =
% 198.74/31.82 | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e2)
% 198.74/31.82 | | | | | | | | | | | | | | | | | | | | |
% 198.74/31.82 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9734) gives:
% 198.74/31.82 | | | | | | | | | | | | | | | | | | | | |
% 198.74/31.82 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 198.74/31.82 | | | | | | | | | | | | | | | | | | | | | |
% 198.74/31.82 | | | | | | | | | | | | | | | | | | | | | | (9735) all_56_7 = e2 & op(e1, e2) = e2
% 198.74/31.82 | | | | | | | | | | | | | | | | | | | | | |
% 198.74/31.82 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9735) implies:
% 198.74/31.82 | | | | | | | | | | | | | | | | | | | | | | (9736) all_56_7 = e2
% 198.74/31.82 | | | | | | | | | | | | | | | | | | | | | |
% 198.74/31.82 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (7), (8), (9), (226), (228), (9704),
% 198.74/31.82 | | | | | | | | | | | | | | | | | | | | | | (9725), (9736), (function-axioms) are inconsistent
% 198.74/31.82 | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1502.
% 198.74/31.82 | | | | | | | | | | | | | | | | | | | | | |
% 198.74/31.82 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 198.74/31.82 | | | | | | | | | | | | | | | | | | | | | |
% 198.74/31.82 | | | | | | | | | | | | | | | | | | | | | | (9737) all_56_13 = e2 & op(e0, e2) = e2
% 198.74/31.82 | | | | | | | | | | | | | | | | | | | | | |
% 198.74/31.82 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9737) implies:
% 198.74/31.82 | | | | | | | | | | | | | | | | | | | | | | (9738) all_56_13 = e2
% 198.74/31.82 | | | | | | | | | | | | | | | | | | | | | |
% 198.74/31.82 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (7), (8), (9), (226), (228), (9704),
% 198.74/31.82 | | | | | | | | | | | | | | | | | | | | | | (9725), (9738), (function-axioms) are inconsistent
% 198.74/31.82 | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1498.
% 198.74/31.82 | | | | | | | | | | | | | | | | | | | | | |
% 198.74/31.82 | | | | | | | | | | | | | | | | | | | | | End of split
% 198.74/31.82 | | | | | | | | | | | | | | | | | | | | |
% 198.74/31.82 | | | | | | | | | | | | | | | | | | | | End of split
% 198.74/31.82 | | | | | | | | | | | | | | | | | | | |
% 198.74/31.82 | | | | | | | | | | | | | | | | | | | Case 2:
% 198.74/31.82 | | | | | | | | | | | | | | | | | | | |
% 198.74/31.82 | | | | | | | | | | | | | | | | | | | | (9739) all_56_3 = e0 & op(e2, e2) = e0
% 198.74/31.82 | | | | | | | | | | | | | | | | | | | |
% 198.74/31.82 | | | | | | | | | | | | | | | | | | | | ALPHA: (9739) implies:
% 198.74/31.82 | | | | | | | | | | | | | | | | | | | | (9740) all_56_3 = e0
% 198.74/31.82 | | | | | | | | | | | | | | | | | | | |
% 198.74/31.82 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8), (9), (224), (9712), (9718), (9722),
% 198.74/31.82 | | | | | | | | | | | | | | | | | | | | (9740) are inconsistent by sub-proof #1491.
% 198.74/31.82 | | | | | | | | | | | | | | | | | | | |
% 198.74/31.82 | | | | | | | | | | | | | | | | | | | End of split
% 198.74/31.82 | | | | | | | | | | | | | | | | | | |
% 198.74/31.82 | | | | | | | | | | | | | | | | | | Case 2:
% 198.74/31.82 | | | | | | | | | | | | | | | | | | |
% 198.74/31.82 | | | | | | | | | | | | | | | | | | | (9741) (all_56_7 = e0 & op(e1, e2) = e0) | (all_56_13 =
% 198.74/31.82 | | | | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0)
% 198.74/31.82 | | | | | | | | | | | | | | | | | | |
% 198.74/31.82 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (158), (162), (9698), (9699), (9741),
% 198.74/31.82 | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 198.74/31.82 | | | | | | | | | | | | | | | | | | | #1487.
% 198.74/31.82 | | | | | | | | | | | | | | | | | | |
% 198.74/31.82 | | | | | | | | | | | | | | | | | | End of split
% 198.74/31.82 | | | | | | | | | | | | | | | | | |
% 198.74/31.82 | | | | | | | | | | | | | | | | | Case 2:
% 198.74/31.82 | | | | | | | | | | | | | | | | | |
% 198.74/31.82 | | | | | | | | | | | | | | | | | | (9742) all_56_10 = e1 & op(e2, e0) = e1
% 198.74/31.82 | | | | | | | | | | | | | | | | | |
% 198.74/31.82 | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (9718), (9742) are inconsistent by sub-proof
% 198.74/31.82 | | | | | | | | | | | | | | | | | | #1788.
% 198.74/31.82 | | | | | | | | | | | | | | | | | |
% 198.74/31.82 | | | | | | | | | | | | | | | | | End of split
% 198.74/31.82 | | | | | | | | | | | | | | | | |
% 198.74/31.82 | | | | | | | | | | | | | | | | End of split
% 198.74/31.82 | | | | | | | | | | | | | | | |
% 198.74/31.82 | | | | | | | | | | | | | | | End of split
% 198.74/31.82 | | | | | | | | | | | | | | |
% 198.74/31.82 | | | | | | | | | | | | | | End of split
% 198.74/31.82 | | | | | | | | | | | | | |
% 198.74/31.82 | | | | | | | | | | | | | Case 2:
% 198.74/31.82 | | | | | | | | | | | | | |
% 198.74/31.82 | | | | | | | | | | | | | | (9743) all_56_3 = e0 & op(e2, e2) = e0
% 198.74/31.82 | | | | | | | | | | | | | |
% 198.74/31.82 | | | | | | | | | | | | | | ALPHA: (9743) implies:
% 198.74/31.82 | | | | | | | | | | | | | | (9744) all_56_3 = e0
% 198.74/31.82 | | | | | | | | | | | | | |
% 198.74/31.83 | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (45), (51), (73),
% 198.74/31.83 | | | | | | | | | | | | | | (76), (82), (85), (91), (97), (100), (110), (112),
% 198.74/31.83 | | | | | | | | | | | | | | (113), (120), (121), (125), (126), (128), (133),
% 198.74/31.83 | | | | | | | | | | | | | | (134), (135), (136), (139), (140), (141), (143),
% 198.74/31.83 | | | | | | | | | | | | | | (144), (145), (148), (149), (157), (158), (159),
% 198.74/31.83 | | | | | | | | | | | | | | (160), (162), (163), (164), (167), (168), (169),
% 198.74/31.83 | | | | | | | | | | | | | | (170), (189), (190), (191), (192), (193), (195),
% 198.74/31.83 | | | | | | | | | | | | | | (196), (197), (198), (200), (201), (202), (203),
% 198.74/31.83 | | | | | | | | | | | | | | (204), (206), (207), (208), (209), (210), (211),
% 198.74/31.83 | | | | | | | | | | | | | | (212), (213), (214), (216), (217), (218), (220),
% 198.74/31.83 | | | | | | | | | | | | | | (222), (223), (224), (225), (226), (227), (228),
% 198.74/31.83 | | | | | | | | | | | | | | (229), (230), (231), (232), (233), (234), (235),
% 198.74/31.83 | | | | | | | | | | | | | | (236), (238), (239), (246), (247), (248), (249),
% 198.74/31.83 | | | | | | | | | | | | | | (250), (258), (259), (260), (269), (270), (271),
% 198.74/31.83 | | | | | | | | | | | | | | (272), (279), (281), (297), (305), (307), (309),
% 198.74/31.83 | | | | | | | | | | | | | | (313), (315), (337), (339), (341), (343), (345),
% 198.74/31.83 | | | | | | | | | | | | | | (347), (350), (361), (368), (369), (370), (371),
% 198.74/31.83 | | | | | | | | | | | | | | (9633), (9634), (9638), (9639), (9640), (9642),
% 198.74/31.83 | | | | | | | | | | | | | | (9643), (9647), (9648), (9658), (9659), (9660),
% 198.74/31.83 | | | | | | | | | | | | | | (9662), (9664), (9666), (9667), (9668), (9693),
% 198.74/31.83 | | | | | | | | | | | | | | (9697), (9698), (9699), (9700), (9701), (9704),
% 198.74/31.83 | | | | | | | | | | | | | | (9708), (9709), (9744), (function-axioms) are
% 198.74/31.83 | | | | | | | | | | | | | | inconsistent by sub-proof #555.
% 198.74/31.83 | | | | | | | | | | | | | |
% 198.74/31.83 | | | | | | | | | | | | | End of split
% 198.74/31.83 | | | | | | | | | | | | |
% 198.74/31.83 | | | | | | | | | | | | Case 2:
% 198.74/31.83 | | | | | | | | | | | | |
% 198.74/31.83 | | | | | | | | | | | | | (9745) (all_56_5 = e0 & op(e2, e1) = e0) | (all_56_10 =
% 198.74/31.83 | | | | | | | | | | | | | e0 & op(e2, e0) = e0)
% 198.74/31.83 | | | | | | | | | | | | |
% 198.74/31.83 | | | | | | | | | | | | | BETA: splitting (9745) gives:
% 198.74/31.83 | | | | | | | | | | | | |
% 198.74/31.83 | | | | | | | | | | | | | Case 1:
% 198.74/31.83 | | | | | | | | | | | | | |
% 198.74/31.83 | | | | | | | | | | | | | | (9746) all_56_5 = e0 & op(e2, e1) = e0
% 198.74/31.83 | | | | | | | | | | | | | |
% 198.74/31.83 | | | | | | | | | | | | | | REF_CLOSE: (9633), (9701), (9746), (function-axioms) are
% 198.74/31.83 | | | | | | | | | | | | | | inconsistent by sub-proof #641.
% 198.74/31.83 | | | | | | | | | | | | | |
% 198.74/31.83 | | | | | | | | | | | | | Case 2:
% 198.74/31.83 | | | | | | | | | | | | | |
% 198.74/31.83 | | | | | | | | | | | | | | (9747) all_56_10 = e0 & op(e2, e0) = e0
% 198.74/31.83 | | | | | | | | | | | | | |
% 198.74/31.83 | | | | | | | | | | | | | | ALPHA: (9747) implies:
% 198.74/31.83 | | | | | | | | | | | | | | (9748) all_56_10 = e0
% 198.74/31.83 | | | | | | | | | | | | | |
% 198.74/31.83 | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (45), (51), (73),
% 198.74/31.83 | | | | | | | | | | | | | | (76), (82), (85), (91), (97), (100), (110), (112),
% 198.74/31.83 | | | | | | | | | | | | | | (113), (120), (121), (125), (126), (128), (133),
% 198.74/31.83 | | | | | | | | | | | | | | (134), (135), (136), (139), (140), (141), (143),
% 198.74/31.83 | | | | | | | | | | | | | | (144), (145), (148), (149), (157), (158), (159),
% 198.74/31.83 | | | | | | | | | | | | | | (160), (162), (163), (164), (167), (168), (169),
% 198.74/31.83 | | | | | | | | | | | | | | (170), (189), (190), (191), (192), (193), (195),
% 198.74/31.83 | | | | | | | | | | | | | | (196), (197), (198), (200), (201), (202), (203),
% 198.74/31.83 | | | | | | | | | | | | | | (204), (206), (207), (208), (209), (210), (211),
% 198.74/31.83 | | | | | | | | | | | | | | (212), (213), (214), (216), (217), (218), (220),
% 198.74/31.83 | | | | | | | | | | | | | | (222), (223), (224), (225), (226), (227), (228),
% 198.74/31.83 | | | | | | | | | | | | | | (229), (230), (231), (232), (233), (234), (235),
% 198.74/31.83 | | | | | | | | | | | | | | (236), (238), (239), (246), (247), (248), (249),
% 198.74/31.83 | | | | | | | | | | | | | | (250), (258), (259), (260), (269), (270), (271),
% 198.74/31.83 | | | | | | | | | | | | | | (272), (279), (281), (297), (305), (307), (309),
% 198.74/31.83 | | | | | | | | | | | | | | (313), (315), (337), (339), (341), (343), (345),
% 198.74/31.83 | | | | | | | | | | | | | | (347), (350), (361), (368), (369), (370), (371),
% 198.74/31.83 | | | | | | | | | | | | | | (9633), (9634), (9638), (9639), (9640), (9642),
% 198.74/31.83 | | | | | | | | | | | | | | (9643), (9647), (9648), (9658), (9659), (9660),
% 198.74/31.83 | | | | | | | | | | | | | | (9662), (9664), (9666), (9667), (9668), (9693),
% 198.74/31.83 | | | | | | | | | | | | | | (9697), (9698), (9699), (9700), (9701), (9704),
% 198.74/31.83 | | | | | | | | | | | | | | (9708), (9709), (9748), (function-axioms) are
% 198.74/31.83 | | | | | | | | | | | | | | inconsistent by sub-proof #553.
% 198.74/31.83 | | | | | | | | | | | | | |
% 198.74/31.83 | | | | | | | | | | | | | End of split
% 198.74/31.83 | | | | | | | | | | | | |
% 198.74/31.83 | | | | | | | | | | | | End of split
% 198.74/31.83 | | | | | | | | | | | |
% 198.74/31.83 | | | | | | | | | | | End of split
% 198.74/31.83 | | | | | | | | | | |
% 198.74/31.83 | | | | | | | | | | End of split
% 198.74/31.83 | | | | | | | | | |
% 198.74/31.83 | | | | | | | | | Case 2:
% 198.74/31.83 | | | | | | | | | |
% 198.74/31.83 | | | | | | | | | | (9749) all_16_2 = e3
% 198.74/31.83 | | | | | | | | | | (9750) op(e3, e2) = all_16_1 & $i(all_16_1) & ( ~
% 198.74/31.83 | | | | | | | | | | (all_16_1 = e1) | ( ~ (all_16_0 = e0) & op(e1,
% 198.74/31.83 | | | | | | | | | | e3) = all_16_0 & $i(all_16_0)))
% 198.74/31.83 | | | | | | | | | |
% 198.74/31.83 | | | | | | | | | | ALPHA: (9750) implies:
% 198.74/31.83 | | | | | | | | | | (9751) op(e3, e2) = all_16_1
% 198.74/31.83 | | | | | | | | | |
% 198.74/31.83 | | | | | | | | | | COMBINE_EQS: (328), (9749) imply:
% 198.74/31.83 | | | | | | | | | | (9752) all_6_2 = e3
% 198.74/31.83 | | | | | | | | | |
% 198.74/31.83 | | | | | | | | | | COMBINE_EQS: (332), (9752) imply:
% 198.74/31.83 | | | | | | | | | | (9753) all_38_2 = e3
% 198.74/31.83 | | | | | | | | | |
% 198.74/31.83 | | | | | | | | | | REDUCE: (348), (9752) imply:
% 198.74/31.83 | | | | | | | | | | (9754) ~ (all_52_1 = e3)
% 198.74/31.83 | | | | | | | | | |
% 198.74/31.83 | | | | | | | | | | REDUCE: (351), (9752) imply:
% 198.74/31.83 | | | | | | | | | | (9755) ~ (all_52_4 = e3)
% 198.74/31.83 | | | | | | | | | |
% 198.74/31.83 | | | | | | | | | | REDUCE: (353), (9752) imply:
% 198.74/31.83 | | | | | | | | | | (9756) ~ (all_52_6 = e3)
% 198.74/31.83 | | | | | | | | | |
% 198.74/31.83 | | | | | | | | | | REDUCE: (355), (9752) imply:
% 198.74/31.83 | | | | | | | | | | (9757) ~ (all_52_7 = e3)
% 198.74/31.83 | | | | | | | | | |
% 198.74/31.83 | | | | | | | | | | REDUCE: (359), (9752) imply:
% 198.74/31.83 | | | | | | | | | | (9758) ~ (all_52_13 = e3)
% 198.74/31.83 | | | | | | | | | |
% 198.74/31.83 | | | | | | | | | | REDUCE: (9665), (9752) imply:
% 198.74/31.83 | | | | | | | | | | (9759) ~ (all_8_1 = e3)
% 198.74/31.83 | | | | | | | | | |
% 198.74/31.83 | | | | | | | | | | REDUCE: (39), (9752) imply:
% 198.74/31.83 | | | | | | | | | | (9760) op(e2, e2) = e3
% 198.74/31.83 | | | | | | | | | |
% 198.74/31.83 | | | | | | | | | | BETA: splitting (88) gives:
% 198.74/31.83 | | | | | | | | | |
% 198.74/31.83 | | | | | | | | | | Case 1:
% 198.74/31.83 | | | | | | | | | | |
% 198.74/31.83 | | | | | | | | | | | (9761) ~ (all_38_2 = e3)
% 198.74/31.83 | | | | | | | | | | |
% 198.74/31.83 | | | | | | | | | | | REDUCE: (9753), (9761) imply:
% 198.74/31.83 | | | | | | | | | | | (9762) $false
% 198.74/31.83 | | | | | | | | | | |
% 198.74/31.83 | | | | | | | | | | | CLOSE: (9762) is inconsistent.
% 198.74/31.83 | | | | | | | | | | |
% 198.74/31.83 | | | | | | | | | | Case 2:
% 198.74/31.83 | | | | | | | | | | |
% 198.74/31.83 | | | | | | | | | | | (9763) op(e3, e2) = all_38_1 & $i(all_38_1) & ( ~
% 198.74/31.83 | | | | | | | | | | | (all_38_1 = e0) | ( ~ (all_38_0 = e1) & op(e0,
% 198.74/31.83 | | | | | | | | | | | e3) = all_38_0 & $i(all_38_0)))
% 198.74/31.83 | | | | | | | | | | |
% 198.74/31.83 | | | | | | | | | | | ALPHA: (9763) implies:
% 198.74/31.83 | | | | | | | | | | | (9764) op(e3, e2) = all_38_1
% 198.74/31.83 | | | | | | | | | | |
% 198.74/31.83 | | | | | | | | | | | BETA: splitting (228) gives:
% 198.74/31.83 | | | | | | | | | | |
% 198.74/31.83 | | | | | | | | | | | Case 1:
% 198.74/31.83 | | | | | | | | | | | |
% 198.74/31.83 | | | | | | | | | | | | (9765) (all_56_1 = e3 & op(e3, e2) = e3) | (all_56_3 = e3
% 198.74/31.83 | | | | | | | | | | | | & op(e2, e2) = e3)
% 198.74/31.83 | | | | | | | | | | | |
% 198.74/31.83 | | | | | | | | | | | | BETA: splitting (9765) gives:
% 198.74/31.83 | | | | | | | | | | | |
% 198.74/31.83 | | | | | | | | | | | | Case 1:
% 198.74/31.83 | | | | | | | | | | | | |
% 198.74/31.83 | | | | | | | | | | | | | (9766) all_56_1 = e3 & op(e3, e2) = e3
% 198.74/31.83 | | | | | | | | | | | | |
% 198.74/31.83 | | | | | | | | | | | | | ALPHA: (9766) implies:
% 198.74/31.83 | | | | | | | | | | | | | (9767) op(e3, e2) = e3
% 198.74/31.83 | | | | | | | | | | | | |
% 198.74/31.83 | | | | | | | | | | | | | REF_CLOSE: (170), (9755), (9767), (function-axioms) are
% 198.74/31.83 | | | | | | | | | | | | | inconsistent by sub-proof #1931.
% 198.74/31.83 | | | | | | | | | | | | |
% 198.74/31.83 | | | | | | | | | | | | Case 2:
% 198.74/31.83 | | | | | | | | | | | | |
% 198.74/31.83 | | | | | | | | | | | | | (9768) all_56_3 = e3 & op(e2, e2) = e3
% 198.74/31.83 | | | | | | | | | | | | |
% 198.74/31.83 | | | | | | | | | | | | | ALPHA: (9768) implies:
% 198.74/31.83 | | | | | | | | | | | | | (9769) all_56_3 = e3
% 198.74/31.83 | | | | | | | | | | | | |
% 198.74/31.83 | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_4,
% 198.74/31.83 | | | | | | | | | | | | | all_16_1, e2, e3, simplifying with (170), (9751)
% 198.74/31.83 | | | | | | | | | | | | | gives:
% 198.74/31.83 | | | | | | | | | | | | | (9770) all_52_4 = all_16_1
% 198.74/31.83 | | | | | | | | | | | | |
% 198.74/31.83 | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_4,
% 198.74/31.83 | | | | | | | | | | | | | all_38_1, e2, e3, simplifying with (170), (9764)
% 198.74/31.83 | | | | | | | | | | | | | gives:
% 198.74/31.83 | | | | | | | | | | | | | (9771) all_52_4 = all_38_1
% 198.74/31.83 | | | | | | | | | | | | |
% 198.74/31.83 | | | | | | | | | | | | | COMBINE_EQS: (9770), (9771) imply:
% 198.74/31.83 | | | | | | | | | | | | | (9772) all_38_1 = all_16_1
% 198.74/31.83 | | | | | | | | | | | | |
% 198.74/31.83 | | | | | | | | | | | | | SIMP: (9772) implies:
% 198.74/31.83 | | | | | | | | | | | | | (9773) all_38_1 = all_16_1
% 198.74/31.83 | | | | | | | | | | | | |
% 198.74/31.83 | | | | | | | | | | | | | COMBINE_EQS: (272), (9770) imply:
% 198.74/31.83 | | | | | | | | | | | | | (9774) all_54_1 = all_16_1
% 198.74/31.83 | | | | | | | | | | | | |
% 198.74/31.83 | | | | | | | | | | | | | REDUCE: (136), (9770) imply:
% 198.74/31.83 | | | | | | | | | | | | | (9775) ~ (all_52_6 = all_16_1)
% 198.74/31.83 | | | | | | | | | | | | |
% 198.74/31.83 | | | | | | | | | | | | | SIMP: (9775) implies:
% 198.74/31.83 | | | | | | | | | | | | | (9776) ~ (all_52_6 = all_16_1)
% 198.74/31.83 | | | | | | | | | | | | |
% 198.74/31.83 | | | | | | | | | | | | | REDUCE: (135), (9770) imply:
% 198.74/31.83 | | | | | | | | | | | | | (9777) ~ (all_52_7 = all_16_1)
% 198.74/31.83 | | | | | | | | | | | | |
% 198.74/31.83 | | | | | | | | | | | | | SIMP: (9777) implies:
% 198.74/31.83 | | | | | | | | | | | | | (9778) ~ (all_52_7 = all_16_1)
% 198.74/31.83 | | | | | | | | | | | | |
% 198.74/31.83 | | | | | | | | | | | | | REDUCE: (134), (9770) imply:
% 198.74/31.83 | | | | | | | | | | | | | (9779) ~ (all_52_8 = all_16_1)
% 198.74/31.83 | | | | | | | | | | | | |
% 198.74/31.83 | | | | | | | | | | | | | SIMP: (9779) implies:
% 198.74/31.83 | | | | | | | | | | | | | (9780) ~ (all_52_8 = all_16_1)
% 198.74/31.83 | | | | | | | | | | | | |
% 198.74/31.83 | | | | | | | | | | | | | REDUCE: (133), (9770) imply:
% 198.74/31.83 | | | | | | | | | | | | | (9781) ~ (all_52_12 = all_16_1)
% 198.74/31.83 | | | | | | | | | | | | |
% 198.74/31.83 | | | | | | | | | | | | | SIMP: (9781) implies:
% 198.74/31.83 | | | | | | | | | | | | | (9782) ~ (all_52_12 = all_16_1)
% 198.74/31.83 | | | | | | | | | | | | |
% 198.74/31.83 | | | | | | | | | | | | | REDUCE: (343), (9770) imply:
% 198.74/31.83 | | | | | | | | | | | | | (9783) ~ (all_16_1 = all_14_2)
% 198.74/31.83 | | | | | | | | | | | | |
% 198.74/31.83 | | | | | | | | | | | | | REDUCE: (9755), (9770) imply:
% 198.74/31.83 | | | | | | | | | | | | | (9784) ~ (all_16_1 = e3)
% 198.74/31.83 | | | | | | | | | | | | |
% 198.74/31.83 | | | | | | | | | | | | | BETA: splitting (73) gives:
% 198.74/31.83 | | | | | | | | | | | | |
% 198.74/31.83 | | | | | | | | | | | | | Case 1:
% 198.74/31.83 | | | | | | | | | | | | | |
% 198.74/31.83 | | | | | | | | | | | | | | (9785) ~ (all_28_2 = e1)
% 198.74/31.83 | | | | | | | | | | | | | |
% 198.74/31.83 | | | | | | | | | | | | | | REDUCE: (315), (9785) imply:
% 198.74/31.83 | | | | | | | | | | | | | | (9786) ~ (all_14_2 = e1)
% 198.74/31.83 | | | | | | | | | | | | | |
% 198.74/31.83 | | | | | | | | | | | | | | BETA: splitting (76) gives:
% 198.74/31.83 | | | | | | | | | | | | | |
% 198.74/31.83 | | | | | | | | | | | | | | Case 1:
% 198.74/31.83 | | | | | | | | | | | | | | |
% 198.74/31.83 | | | | | | | | | | | | | | | (9787) ~ (all_30_2 = e2)
% 198.74/31.83 | | | | | | | | | | | | | | |
% 198.74/31.83 | | | | | | | | | | | | | | | REDUCE: (309), (9787) imply:
% 198.74/31.83 | | | | | | | | | | | | | | | (9788) ~ (all_10_2 = e2)
% 198.74/31.83 | | | | | | | | | | | | | | |
% 198.74/31.83 | | | | | | | | | | | | | | | BETA: splitting (82) gives:
% 198.74/31.83 | | | | | | | | | | | | | | |
% 198.74/31.83 | | | | | | | | | | | | | | | Case 1:
% 198.74/31.83 | | | | | | | | | | | | | | | |
% 198.74/31.83 | | | | | | | | | | | | | | | | (9789) ~ (all_34_2 = e0)
% 198.74/31.83 | | | | | | | | | | | | | | | |
% 198.74/31.83 | | | | | | | | | | | | | | | | REDUCE: (313), (9789) imply:
% 198.74/31.83 | | | | | | | | | | | | | | | | (9790) ~ (all_14_2 = e0)
% 198.74/31.83 | | | | | | | | | | | | | | | |
% 198.74/31.83 | | | | | | | | | | | | | | | | BETA: splitting (204) gives:
% 198.74/31.83 | | | | | | | | | | | | | | | |
% 198.74/31.83 | | | | | | | | | | | | | | | | Case 1:
% 198.74/31.83 | | | | | | | | | | | | | | | | |
% 198.74/31.83 | | | | | | | | | | | | | | | | | (9791) all_54_0 = e3
% 198.74/31.83 | | | | | | | | | | | | | | | | |
% 198.74/31.83 | | | | | | | | | | | | | | | | | COMBINE_EQS: (279), (9791) imply:
% 198.74/31.83 | | | | | | | | | | | | | | | | | (9792) all_14_2 = e3
% 198.74/31.83 | | | | | | | | | | | | | | | | |
% 198.74/31.83 | | | | | | | | | | | | | | | | | SIMP: (9792) implies:
% 198.74/31.83 | | | | | | | | | | | | | | | | | (9793) all_14_2 = e3
% 198.74/31.83 | | | | | | | | | | | | | | | | |
% 198.74/31.83 | | | | | | | | | | | | | | | | | REDUCE: (345), (9793) imply:
% 198.74/31.83 | | | | | | | | | | | | | | | | | (9794) ~ (all_52_8 = e3)
% 198.74/31.83 | | | | | | | | | | | | | | | | |
% 198.74/31.83 | | | | | | | | | | | | | | | | | REDUCE: (347), (9793) imply:
% 198.74/31.83 | | | | | | | | | | | | | | | | | (9795) ~ (all_52_12 = e3)
% 198.74/31.83 | | | | | | | | | | | | | | | | |
% 198.74/31.83 | | | | | | | | | | | | | | | | | REDUCE: (51), (9793) imply:
% 198.74/31.83 | | | | | | | | | | | | | | | | | (9796) op(e3, e3) = e3
% 198.74/31.83 | | | | | | | | | | | | | | | | |
% 198.74/31.83 | | | | | | | | | | | | | | | | | BETA: splitting (220) gives:
% 198.74/31.83 | | | | | | | | | | | | | | | | |
% 198.74/31.83 | | | | | | | | | | | | | | | | | Case 1:
% 198.74/31.83 | | | | | | | | | | | | | | | | | |
% 198.74/31.83 | | | | | | | | | | | | | | | | | | (9797) (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3
% 198.74/31.83 | | | | | | | | | | | | | | | | | | & op(e2, e1) = e3)
% 198.74/31.83 | | | | | | | | | | | | | | | | | |
% 198.74/31.83 | | | | | | | | | | | | | | | | | | REF_CLOSE: (169), (9633), (9759), (9794), (9797),
% 198.74/31.83 | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 198.74/31.83 | | | | | | | | | | | | | | | | | | #551.
% 198.74/31.83 | | | | | | | | | | | | | | | | | |
% 198.74/31.83 | | | | | | | | | | | | | | | | | Case 2:
% 198.74/31.83 | | | | | | | | | | | | | | | | | |
% 198.74/31.83 | | | | | | | | | | | | | | | | | | (9798) (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 =
% 198.74/31.83 | | | | | | | | | | | | | | | | | | e3 & op(e0, e1) = e3)
% 198.74/31.83 | | | | | | | | | | | | | | | | | |
% 198.74/31.83 | | | | | | | | | | | | | | | | | | BETA: splitting (9798) gives:
% 198.74/31.83 | | | | | | | | | | | | | | | | | |
% 198.74/31.83 | | | | | | | | | | | | | | | | | | Case 1:
% 198.74/31.83 | | | | | | | | | | | | | | | | | | |
% 198.74/31.83 | | | | | | | | | | | | | | | | | | | (9799) all_56_8 = e3 & op(e1, e1) = e3
% 198.74/31.83 | | | | | | | | | | | | | | | | | | |
% 198.74/31.83 | | | | | | | | | | | | | | | | | | | ALPHA: (9799) implies:
% 198.74/31.83 | | | | | | | | | | | | | | | | | | | (9800) op(e1, e1) = e3
% 198.74/31.83 | | | | | | | | | | | | | | | | | | |
% 198.74/31.83 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (9648), (9800), (function-axioms) are
% 198.74/31.83 | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1919.
% 198.74/31.83 | | | | | | | | | | | | | | | | | | |
% 198.74/31.83 | | | | | | | | | | | | | | | | | | Case 2:
% 198.74/31.83 | | | | | | | | | | | | | | | | | | |
% 198.74/31.83 | | | | | | | | | | | | | | | | | | | (9801) all_56_14 = e3 & op(e0, e1) = e3
% 198.74/31.83 | | | | | | | | | | | | | | | | | | |
% 198.74/31.83 | | | | | | | | | | | | | | | | | | | ALPHA: (9801) implies:
% 198.74/31.83 | | | | | | | | | | | | | | | | | | | (9802) all_56_14 = e3
% 198.74/31.83 | | | | | | | | | | | | | | | | | | | (9803) op(e0, e1) = e3
% 198.74/31.83 | | | | | | | | | | | | | | | | | | |
% 198.74/31.83 | | | | | | | | | | | | | | | | | | | BETA: splitting (212) gives:
% 198.74/31.83 | | | | | | | | | | | | | | | | | | |
% 198.74/31.83 | | | | | | | | | | | | | | | | | | | Case 1:
% 198.74/31.83 | | | | | | | | | | | | | | | | | | | |
% 198.74/31.83 | | | | | | | | | | | | | | | | | | | | (9804) (all_56_9 = e3 & op(e3, e0) = e3) | (all_56_10 =
% 198.74/31.83 | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e0) = e3)
% 198.74/31.83 | | | | | | | | | | | | | | | | | | | |
% 198.74/31.83 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (168), (221), (222),
% 198.74/31.83 | | | | | | | | | | | | | | | | | | | | (223), (9633), (9666), (9760), (9795), (9804),
% 198.74/31.83 | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 198.74/31.83 | | | | | | | | | | | | | | | | | | | | #546.
% 198.74/31.83 | | | | | | | | | | | | | | | | | | | |
% 198.74/31.83 | | | | | | | | | | | | | | | | | | | Case 2:
% 198.74/31.83 | | | | | | | | | | | | | | | | | | | |
% 198.74/31.83 | | | | | | | | | | | | | | | | | | | | (9805) (all_56_11 = e3 & op(e1, e0) = e3) | (all_56_15 =
% 198.74/31.83 | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = e3)
% 198.74/31.83 | | | | | | | | | | | | | | | | | | | |
% 198.74/31.83 | | | | | | | | | | | | | | | | | | | | BETA: splitting (9805) gives:
% 198.74/31.83 | | | | | | | | | | | | | | | | | | | |
% 198.74/31.83 | | | | | | | | | | | | | | | | | | | | Case 1:
% 198.74/31.83 | | | | | | | | | | | | | | | | | | | | |
% 198.74/31.83 | | | | | | | | | | | | | | | | | | | | | (9806) all_56_11 = e3 & op(e1, e0) = e3
% 198.74/31.83 | | | | | | | | | | | | | | | | | | | | |
% 198.74/31.83 | | | | | | | | | | | | | | | | | | | | | ALPHA: (9806) implies:
% 198.74/31.83 | | | | | | | | | | | | | | | | | | | | | (9807) all_56_11 = e3
% 198.74/31.83 | | | | | | | | | | | | | | | | | | | | | (9808) op(e1, e0) = e3
% 198.74/31.83 | | | | | | | | | | | | | | | | | | | | |
% 198.74/31.83 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_11,
% 198.74/31.83 | | | | | | | | | | | | | | | | | | | | | e3, e1, e0, simplifying with (157), (9803) gives:
% 198.74/31.83 | | | | | | | | | | | | | | | | | | | | | (9809) all_52_11 = e3
% 198.74/31.83 | | | | | | | | | | | | | | | | | | | | |
% 198.74/31.83 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_14,
% 198.74/31.83 | | | | | | | | | | | | | | | | | | | | | e3, e0, e1, simplifying with (160), (9808) gives:
% 198.74/31.83 | | | | | | | | | | | | | | | | | | | | | (9810) all_52_14 = e3
% 198.74/31.83 | | | | | | | | | | | | | | | | | | | | |
% 198.74/31.83 | | | | | | | | | | | | | | | | | | | | | REDUCE: (9662), (9809) imply:
% 198.74/31.83 | | | | | | | | | | | | | | | | | | | | | (9811) ~ (all_8_1 = e3)
% 198.74/31.83 | | | | | | | | | | | | | | | | | | | | |
% 198.74/31.83 | | | | | | | | | | | | | | | | | | | | | REDUCE: (371), (9810) imply:
% 198.74/31.83 | | | | | | | | | | | | | | | | | | | | | (9812) ~ (all_10_2 = e3)
% 198.74/31.83 | | | | | | | | | | | | | | | | | | | | |
% 198.74/31.83 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (91) gives:
% 198.74/31.83 | | | | | | | | | | | | | | | | | | | | |
% 198.74/31.83 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 198.74/31.83 | | | | | | | | | | | | | | | | | | | | | |
% 198.74/31.83 | | | | | | | | | | | | | | | | | | | | | | (9813) ~ (all_40_2 = e1)
% 198.74/31.83 | | | | | | | | | | | | | | | | | | | | | |
% 198.74/31.83 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (307), (9813) imply:
% 198.74/31.83 | | | | | | | | | | | | | | | | | | | | | | (9814) ~ (all_10_2 = e1)
% 198.74/31.83 | | | | | | | | | | | | | | | | | | | | | |
% 198.74/31.83 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (239) gives:
% 198.74/31.83 | | | | | | | | | | | | | | | | | | | | | |
% 198.74/31.83 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 198.74/31.83 | | | | | | | | | | | | | | | | | | | | | | |
% 198.74/31.83 | | | | | | | | | | | | | | | | | | | | | | | (9815) (all_57_1 = e2 & ~ (all_57_3 = e3) & ~ (all_57_8
% 198.74/31.83 | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_10 = e2) & ~ (all_57_12 =
% 198.74/31.83 | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_14 = e0) & op(e3, e3) = e2 &
% 198.74/31.83 | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_3 & op(e2, all_57_9) =
% 198.74/31.83 | | | | | | | | | | | | | | | | | | | | | | | all_57_8 & op(e2, all_57_11) = all_57_10 &
% 198.74/31.83 | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_13) = all_57_12 & op(e2,
% 198.74/31.83 | | | | | | | | | | | | | | | | | | | | | | | all_57_15) = all_57_14 & op(e2, e3) = all_57_9
% 198.74/31.83 | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = all_57_11 & op(e2, e1) =
% 198.74/31.83 | | | | | | | | | | | | | | | | | | | | | | | all_57_13 & op(e2, e0) = all_57_15 &
% 198.74/31.83 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_3) & $i(all_57_8) & $i(all_57_9) &
% 198.74/31.83 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & $i(all_57_11) & $i(all_57_12) &
% 198.74/31.83 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13) & $i(all_57_14) & $i(all_57_15)) |
% 198.74/31.83 | | | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e1 & ~ (all_57_5 = e3) & ~
% 198.74/31.83 | | | | | | | | | | | | | | | | | | | | | | | (all_57_16 = e3) & ~ (all_57_18 = e2) & ~
% 198.74/31.83 | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_22 = e0) & op(e3,
% 198.74/31.83 | | | | | | | | | | | | | | | | | | | | | | | e3) = e1 & op(e3, e1) = all_57_5 & op(e1,
% 198.74/31.83 | | | | | | | | | | | | | | | | | | | | | | | all_57_17) = all_57_16 & op(e1, all_57_19) =
% 198.74/31.83 | | | | | | | | | | | | | | | | | | | | | | | all_57_18 & op(e1, all_57_21) = all_57_20 &
% 198.74/31.83 | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_23) = all_57_22 & op(e1, e3) =
% 198.74/31.83 | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e1, e2) = all_57_19 & op(e1, e1)
% 198.74/31.83 | | | | | | | | | | | | | | | | | | | | | | | = all_57_21 & op(e1, e0) = all_57_23 &
% 198.74/31.83 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_16) & $i(all_57_17) &
% 198.74/31.83 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_19) & $i(all_57_20) &
% 198.74/31.83 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_22) & $i(all_57_23)) |
% 198.74/31.83 | | | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e0 & ~ (all_57_7 = e3) & ~
% 198.74/31.83 | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 198.74/31.83 | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) & op(e3,
% 198.74/31.83 | | | | | | | | | | | | | | | | | | | | | | | e3) = e0 & op(e3, e0) = all_57_7 & op(e0,
% 198.74/31.83 | | | | | | | | | | | | | | | | | | | | | | | all_57_25) = all_57_24 & op(e0, all_57_27) =
% 198.74/31.83 | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e0, all_57_29) = all_57_28 &
% 198.74/31.83 | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_31) = all_57_30 & op(e0, e3) =
% 198.74/31.83 | | | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_27 & op(e0, e1)
% 198.74/31.83 | | | | | | | | | | | | | | | | | | | | | | | = all_57_29 & op(e0, e0) = all_57_31 &
% 198.74/31.83 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7) & $i(all_57_24) & $i(all_57_25) &
% 198.74/31.83 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_27) & $i(all_57_28) &
% 198.74/31.83 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29) & $i(all_57_30) & $i(all_57_31)) |
% 198.74/31.83 | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e3 & ~ (all_57_0 = e3) & ~
% 198.74/31.83 | | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e2) & ~ (all_57_4 = e1) & ~
% 198.74/31.83 | | | | | | | | | | | | | | | | | | | | | | | (all_57_6 = e0) & ~ (all_57_9 = e2) & op(e3,
% 198.74/31.83 | | | | | | | | | | | | | | | | | | | | | | | all_57_1) = all_57_0 & op(e3, all_57_3) =
% 198.74/31.83 | | | | | | | | | | | | | | | | | | | | | | | all_57_2 & op(e3, all_57_5) = all_57_4 & op(e3,
% 198.74/31.83 | | | | | | | | | | | | | | | | | | | | | | | all_57_7) = all_57_6 & op(e3, e3) = all_57_1 &
% 198.74/31.83 | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_3 & op(e3, e1) = all_57_5 &
% 198.74/31.83 | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_7 & op(e2, e3) = all_57_9 &
% 198.74/31.83 | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e3 & $i(all_57_0) & $i(all_57_1) &
% 198.74/31.83 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_2) & $i(all_57_3) & $i(all_57_4) &
% 198.74/31.83 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 198.74/31.83 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9))
% 198.74/31.83 | | | | | | | | | | | | | | | | | | | | | | |
% 198.74/31.83 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9815) gives:
% 198.74/31.83 | | | | | | | | | | | | | | | | | | | | | | |
% 198.74/31.83 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 198.74/31.83 | | | | | | | | | | | | | | | | | | | | | | | |
% 198.74/31.83 | | | | | | | | | | | | | | | | | | | | | | | | (9816) (all_57_1 = e2 & ~ (all_57_3 = e3) & ~ (all_57_8
% 198.74/31.83 | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_10 = e2) & ~ (all_57_12 =
% 198.74/31.83 | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_14 = e0) & op(e3, e3) = e2 &
% 198.74/31.83 | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_3 & op(e2, all_57_9) =
% 198.74/31.83 | | | | | | | | | | | | | | | | | | | | | | | | all_57_8 & op(e2, all_57_11) = all_57_10 &
% 198.74/31.83 | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_13) = all_57_12 & op(e2,
% 198.74/31.83 | | | | | | | | | | | | | | | | | | | | | | | | all_57_15) = all_57_14 & op(e2, e3) = all_57_9
% 198.74/31.83 | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = all_57_11 & op(e2, e1) =
% 198.74/31.83 | | | | | | | | | | | | | | | | | | | | | | | | all_57_13 & op(e2, e0) = all_57_15 &
% 198.74/31.83 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_3) & $i(all_57_8) & $i(all_57_9) &
% 198.74/31.83 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & $i(all_57_11) & $i(all_57_12) &
% 198.74/31.83 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13) & $i(all_57_14) & $i(all_57_15)) |
% 198.74/31.83 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e1 & ~ (all_57_5 = e3) & ~
% 198.74/31.83 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_16 = e3) & ~ (all_57_18 = e2) & ~
% 198.74/31.83 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_22 = e0) & op(e3,
% 198.74/31.83 | | | | | | | | | | | | | | | | | | | | | | | | e3) = e1 & op(e3, e1) = all_57_5 & op(e1,
% 198.74/31.83 | | | | | | | | | | | | | | | | | | | | | | | | all_57_17) = all_57_16 & op(e1, all_57_19) =
% 198.74/31.83 | | | | | | | | | | | | | | | | | | | | | | | | all_57_18 & op(e1, all_57_21) = all_57_20 &
% 198.74/31.83 | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_23) = all_57_22 & op(e1, e3) =
% 198.74/31.83 | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e1, e2) = all_57_19 & op(e1, e1)
% 198.74/31.83 | | | | | | | | | | | | | | | | | | | | | | | | = all_57_21 & op(e1, e0) = all_57_23 &
% 198.74/31.83 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_16) & $i(all_57_17) &
% 198.74/31.83 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_19) & $i(all_57_20) &
% 198.74/31.83 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_22) & $i(all_57_23))
% 198.74/31.83 | | | | | | | | | | | | | | | | | | | | | | | |
% 198.74/31.83 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9816) gives:
% 198.74/31.83 | | | | | | | | | | | | | | | | | | | | | | | |
% 198.74/31.83 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 198.74/31.83 | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.74/31.83 | | | | | | | | | | | | | | | | | | | | | | | | | (9817) all_57_1 = e2 & ~ (all_57_3 = e3) & ~ (all_57_8
% 198.74/31.83 | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_10 = e2) & ~ (all_57_12 =
% 198.74/31.83 | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_14 = e0) & op(e3, e3) = e2 &
% 198.74/31.83 | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_3 & op(e2, all_57_9) =
% 198.74/31.83 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_8 & op(e2, all_57_11) = all_57_10 & op(e2,
% 198.74/31.83 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_13) = all_57_12 & op(e2, all_57_15) =
% 198.74/31.83 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_14 & op(e2, e3) = all_57_9 & op(e2, e2) =
% 198.74/31.83 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_11 & op(e2, e1) = all_57_13 & op(e2, e0) =
% 198.74/31.83 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15 & $i(all_57_3) & $i(all_57_8) &
% 198.74/31.83 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9) & $i(all_57_10) & $i(all_57_11) &
% 198.74/31.83 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & $i(all_57_13) & $i(all_57_14) &
% 198.74/31.83 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15)
% 198.74/31.83 | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.74/31.83 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9817) implies:
% 198.74/31.83 | | | | | | | | | | | | | | | | | | | | | | | | | (9818) op(e2, all_57_9) = all_57_8
% 198.74/31.83 | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.74/31.83 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (45), (91), (157), (158), (159), (160), (168),
% 198.74/31.83 | | | | | | | | | | | | | | | | | | | | | | | | | (169), (170), (189), (198), (238), (246), (307),
% 198.74/31.83 | | | | | | | | | | | | | | | | | | | | | | | | | (350), (361), (368), (371), (9633), (9634),
% 198.74/31.83 | | | | | | | | | | | | | | | | | | | | | | | | | (9648), (9658), (9666), (9667), (9755), (9759),
% 198.74/31.83 | | | | | | | | | | | | | | | | | | | | | | | | | (9760), (9788), (9794), (9795), (9796), (9814),
% 198.74/31.83 | | | | | | | | | | | | | | | | | | | | | | | | | (9818), (function-axioms) are inconsistent by
% 198.74/31.83 | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #541.
% 198.74/31.83 | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.74/31.83 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 198.74/31.83 | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.74/31.83 | | | | | | | | | | | | | | | | | | | | | | | | | (9819) all_57_1 = e1 & ~ (all_57_5 = e3) & ~ (all_57_16
% 198.74/31.83 | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_18 = e2) & ~ (all_57_20 =
% 198.74/31.83 | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_22 = e0) & op(e3, e3) = e1 &
% 198.74/31.83 | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_57_5 & op(e1, all_57_17) =
% 198.74/31.83 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_16 & op(e1, all_57_19) = all_57_18 & op(e1,
% 198.74/31.83 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_21) = all_57_20 & op(e1, all_57_23) =
% 198.74/31.83 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_22 & op(e1, e3) = all_57_17 & op(e1, e2) =
% 198.74/31.83 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_19 & op(e1, e1) = all_57_21 & op(e1, e0) =
% 198.74/31.83 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23 & $i(all_57_5) & $i(all_57_16) &
% 198.74/31.83 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_17) & $i(all_57_18) & $i(all_57_19) &
% 198.74/31.83 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_20) & $i(all_57_21) & $i(all_57_22) &
% 198.74/31.83 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23)
% 198.74/31.83 | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.74/31.83 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9819) implies:
% 198.74/31.83 | | | | | | | | | | | | | | | | | | | | | | | | | (9820) op(e3, e3) = e1
% 198.74/31.83 | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.74/31.83 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (9796), (9820), (function-axioms) are
% 198.74/31.83 | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1924.
% 198.74/31.83 | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.74/31.83 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 198.74/31.83 | | | | | | | | | | | | | | | | | | | | | | | |
% 198.74/31.83 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 198.74/31.83 | | | | | | | | | | | | | | | | | | | | | | | |
% 198.74/31.83 | | | | | | | | | | | | | | | | | | | | | | | | (9821) (all_57_1 = e0 & ~ (all_57_7 = e3) & ~
% 198.74/31.83 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 198.74/31.83 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) & op(e3,
% 198.74/31.83 | | | | | | | | | | | | | | | | | | | | | | | | e3) = e0 & op(e3, e0) = all_57_7 & op(e0,
% 198.74/31.83 | | | | | | | | | | | | | | | | | | | | | | | | all_57_25) = all_57_24 & op(e0, all_57_27) =
% 198.74/31.83 | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e0, all_57_29) = all_57_28 &
% 198.74/31.83 | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_31) = all_57_30 & op(e0, e3) =
% 198.74/31.83 | | | | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_27 & op(e0, e1)
% 198.74/31.83 | | | | | | | | | | | | | | | | | | | | | | | | = all_57_29 & op(e0, e0) = all_57_31 &
% 198.74/31.83 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7) & $i(all_57_24) & $i(all_57_25) &
% 198.74/31.83 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_27) & $i(all_57_28) &
% 198.74/31.83 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29) & $i(all_57_30) & $i(all_57_31)) |
% 198.74/31.83 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e3 & ~ (all_57_0 = e3) & ~
% 198.74/31.83 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e2) & ~ (all_57_4 = e1) & ~
% 198.74/31.83 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_6 = e0) & ~ (all_57_9 = e2) & op(e3,
% 198.74/31.83 | | | | | | | | | | | | | | | | | | | | | | | | all_57_1) = all_57_0 & op(e3, all_57_3) =
% 198.74/31.83 | | | | | | | | | | | | | | | | | | | | | | | | all_57_2 & op(e3, all_57_5) = all_57_4 & op(e3,
% 198.74/31.83 | | | | | | | | | | | | | | | | | | | | | | | | all_57_7) = all_57_6 & op(e3, e3) = all_57_1 &
% 198.74/31.83 | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_3 & op(e3, e1) = all_57_5 &
% 198.74/31.83 | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_7 & op(e2, e3) = all_57_9 &
% 198.74/31.83 | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e3 & $i(all_57_0) & $i(all_57_1) &
% 198.74/31.83 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_2) & $i(all_57_3) & $i(all_57_4) &
% 198.74/31.83 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 198.74/31.83 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9))
% 198.74/31.83 | | | | | | | | | | | | | | | | | | | | | | | |
% 198.74/31.83 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9821) gives:
% 198.74/31.83 | | | | | | | | | | | | | | | | | | | | | | | |
% 198.74/31.83 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 198.74/31.83 | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.74/31.83 | | | | | | | | | | | | | | | | | | | | | | | | | (9822) all_57_1 = e0 & ~ (all_57_7 = e3) & ~ (all_57_24
% 198.74/31.83 | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_26 = e2) & ~ (all_57_28 =
% 198.74/31.83 | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_30 = e0) & op(e3, e3) = e0 &
% 198.74/31.83 | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_7 & op(e0, all_57_25) =
% 198.74/31.83 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_24 & op(e0, all_57_27) = all_57_26 & op(e0,
% 198.74/31.83 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_29) = all_57_28 & op(e0, all_57_31) =
% 198.74/31.83 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30 & op(e0, e3) = all_57_25 & op(e0, e2) =
% 198.74/31.83 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27 & op(e0, e1) = all_57_29 & op(e0, e0) =
% 198.74/31.83 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_31 & $i(all_57_7) & $i(all_57_24) &
% 198.74/31.83 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_25) & $i(all_57_26) & $i(all_57_27) &
% 198.74/31.83 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28) & $i(all_57_29) & $i(all_57_30) &
% 198.74/31.83 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_31)
% 198.74/31.83 | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.74/31.83 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9822) implies:
% 198.74/31.83 | | | | | | | | | | | | | | | | | | | | | | | | | (9823) op(e3, e3) = e0
% 198.74/31.83 | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.74/31.83 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (9796), (9823), (function-axioms) are
% 198.74/31.83 | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1922.
% 198.74/31.83 | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.74/31.83 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 198.74/31.83 | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.74/31.83 | | | | | | | | | | | | | | | | | | | | | | | | | (9824) all_57_11 = e3 & ~ (all_57_0 = e3) & ~ (all_57_2
% 198.74/31.83 | | | | | | | | | | | | | | | | | | | | | | | | | = e2) & ~ (all_57_4 = e1) & ~ (all_57_6 = e0)
% 198.74/31.83 | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_9 = e2) & op(e3, all_57_1) = all_57_0
% 198.74/31.83 | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, all_57_3) = all_57_2 & op(e3, all_57_5) =
% 198.74/31.83 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_4 & op(e3, all_57_7) = all_57_6 & op(e3,
% 198.74/31.83 | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_1 & op(e3, e2) = all_57_3 & op(e3,
% 198.74/31.83 | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_5 & op(e3, e0) = all_57_7 & op(e2,
% 198.74/31.83 | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_9 & op(e2, e2) = e3 & $i(all_57_0)
% 198.74/31.83 | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_1) & $i(all_57_2) & $i(all_57_3) &
% 198.74/31.83 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4) & $i(all_57_5) & $i(all_57_6) &
% 198.74/31.83 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7) & $i(all_57_9)
% 198.74/31.83 | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.74/31.83 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9824) implies:
% 198.74/31.83 | | | | | | | | | | | | | | | | | | | | | | | | | (9825) ~ (all_57_9 = e2)
% 198.74/31.83 | | | | | | | | | | | | | | | | | | | | | | | | | (9826) ~ (all_57_2 = e2)
% 198.74/31.83 | | | | | | | | | | | | | | | | | | | | | | | | | (9827) op(e2, e3) = all_57_9
% 198.74/31.83 | | | | | | | | | | | | | | | | | | | | | | | | | (9828) op(e3, e2) = all_57_3
% 198.74/31.83 | | | | | | | | | | | | | | | | | | | | | | | | | (9829) op(e3, all_57_3) = all_57_2
% 198.74/31.83 | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.74/31.83 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (189) gives:
% 198.74/31.83 | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.74/31.83 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 198.74/31.83 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.74/31.83 | | | | | | | | | | | | | | | | | | | | | | | | | | (9830) all_54_15 = e3
% 198.74/31.83 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.74/31.83 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (246), (9667), (9830) are inconsistent by
% 198.74/31.83 | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1900.
% 198.74/31.83 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.74/31.83 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 198.74/31.83 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.74/31.83 | | | | | | | | | | | | | | | | | | | | | | | | | | (9831) ~ (all_54_15 = e3)
% 198.74/31.83 | | | | | | | | | | | | | | | | | | | | | | | | | | (9832) all_54_15 = e2 | all_54_15 = e1 | all_54_15 = e0
% 198.74/31.83 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.74/31.83 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9832) gives:
% 198.74/31.83 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.74/31.83 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 198.74/31.83 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.74/31.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | (9833) all_54_15 = e2
% 198.74/31.83 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.74/31.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (246), (9788), (9833) are inconsistent by
% 198.74/31.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1899.
% 198.74/31.83 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.74/31.83 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 198.74/31.83 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.74/31.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | (9834) ~ (all_54_15 = e2)
% 198.74/31.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | (9835) all_54_15 = e1 | all_54_15 = e0
% 198.74/31.83 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.74/31.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9835) gives:
% 198.74/31.83 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.74/31.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 198.74/31.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.74/31.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9836) all_54_15 = e1
% 198.74/31.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.74/31.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (246), (9814), (9836) are inconsistent by
% 198.74/31.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1898.
% 198.74/31.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.74/31.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 198.74/31.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.74/31.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9837) all_54_15 = e0
% 198.74/31.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.74/31.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (246), (9837) imply:
% 198.74/31.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9838) all_10_2 = e0
% 198.74/31.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.74/31.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (9838) implies:
% 198.74/31.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9839) all_10_2 = e0
% 198.74/31.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.74/31.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (361), (9839) imply:
% 198.74/31.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9840) ~ (all_52_7 = e0)
% 198.74/31.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.74/31.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (45), (9839) imply:
% 198.74/31.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9841) op(e0, e0) = e0
% 198.74/31.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.74/31.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (238) gives:
% 198.74/31.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.74/31.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 198.74/31.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.74/31.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9842) (all_57_3 = e3 & ~ (all_57_1 = e2) & ~ (all_57_8
% 198.74/31.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_10 = e2) & ~ (all_57_12 =
% 198.74/31.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_14 = e0) & op(e3, e3) =
% 198.74/31.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e2) = e3 & op(e2, all_57_9) =
% 198.74/31.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_8 & op(e2, all_57_11) = all_57_10 &
% 198.74/31.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_13) = all_57_12 & op(e2,
% 198.74/31.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15) = all_57_14 & op(e2, e3) = all_57_9
% 198.74/31.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = all_57_11 & op(e2, e1) =
% 198.74/31.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_13 & op(e2, e0) = all_57_15 &
% 198.74/31.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_8) & $i(all_57_9) &
% 198.74/31.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & $i(all_57_11) & $i(all_57_12) &
% 198.74/31.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13) & $i(all_57_14) & $i(all_57_15)) |
% 198.74/31.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_5 = e3 & ~ (all_57_1 = e1) & ~
% 198.74/31.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_16 = e3) & ~ (all_57_18 = e2) & ~
% 198.74/31.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_22 = e0) & op(e3,
% 198.74/31.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_1 & op(e3, e1) = e3 & op(e1,
% 198.74/31.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17) = all_57_16 & op(e1, all_57_19) =
% 198.74/31.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_18 & op(e1, all_57_21) = all_57_20 &
% 198.74/31.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_23) = all_57_22 & op(e1, e3) =
% 198.74/31.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e1, e2) = all_57_19 & op(e1, e1)
% 198.74/31.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_21 & op(e1, e0) = all_57_23 &
% 198.74/31.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_16) & $i(all_57_17) &
% 198.74/31.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_19) & $i(all_57_20) &
% 198.74/31.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_22) & $i(all_57_23)) |
% 198.74/31.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_7 = e3 & ~ (all_57_1 = e0) & ~
% 198.74/31.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e3) & ~ (all_57_26 = e2) & ~
% 198.74/31.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & ~ (all_57_30 = e0) & op(e3,
% 198.74/31.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_1 & op(e3, e0) = e3 & op(e0,
% 198.74/31.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25) = all_57_24 & op(e0, all_57_27) =
% 198.74/31.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e0, all_57_29) = all_57_28 &
% 198.74/31.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_31) = all_57_30 & op(e0, e3) =
% 198.74/31.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_27 & op(e0, e1)
% 198.74/31.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_29 & op(e0, e0) = all_57_31 &
% 198.74/31.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_24) & $i(all_57_25) &
% 198.74/31.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_27) & $i(all_57_28) &
% 198.74/31.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29) & $i(all_57_30) & $i(all_57_31)) |
% 198.74/31.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e2 & ~ (all_57_0 = e3) & ~ (all_57_2
% 198.74/31.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2) & ~ (all_57_4 = e1) & ~ (all_57_6 =
% 198.74/31.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_11 = e3) & op(e3, all_57_1) =
% 198.74/31.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_0 & op(e3, all_57_3) = all_57_2 & op(e3,
% 198.74/31.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_5) = all_57_4 & op(e3, all_57_7) =
% 198.74/31.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_6 & op(e3, e3) = all_57_1 & op(e3, e2) =
% 198.74/31.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 & op(e3, e1) = all_57_5 & op(e3, e0) =
% 198.74/31.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7 & op(e2, e3) = e2 & op(e2, e2) =
% 198.74/31.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_11 & $i(all_57_0) & $i(all_57_1) &
% 198.74/31.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_2) & $i(all_57_3) & $i(all_57_4) &
% 198.74/31.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 198.74/31.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11))
% 198.74/31.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.74/31.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9842) gives:
% 198.74/31.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.74/31.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 198.74/31.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 198.74/31.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9843) (all_57_3 = e3 & ~ (all_57_1 = e2) & ~ (all_57_8
% 198.74/31.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_10 = e2) & ~ (all_57_12 =
% 198.74/31.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_14 = e0) & op(e3, e3) =
% 198.74/31.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e2) = e3 & op(e2, all_57_9) =
% 198.74/31.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_8 & op(e2, all_57_11) = all_57_10 &
% 198.74/31.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_13) = all_57_12 & op(e2,
% 198.74/31.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15) = all_57_14 & op(e2, e3) = all_57_9
% 198.74/31.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = all_57_11 &